%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP024-5 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n017.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 10:32:19 EDT 2022
% Result : Unsatisfiable 216.53s 216.78s
% Output : CNFRefutation 218.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 240
% Number of leaves : 2064
% Syntax : Number of clauses : 9096 (4512 unt; 0 nHn;4459 RR)
% Number of literals : 15765 (15764 equ;6671 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 23034 ( 146 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(name,axiom,
commutator(X,Y) = multiply(inverse(X),multiply(inverse(Y),multiply(X,Y))) ).
cnf(associativity_of_commutator,hypothesis,
commutator(commutator(X,Y),Z) = commutator(X,commutator(Y,Z)) ).
cnf(prove_center,negated_conjecture,
multiply(a,commutator(b,c)) != multiply(commutator(b,c),a) ).
cnf(refute_0_0,plain,
multiply(multiply(inverse(X_10),X_10),X_11) = multiply(inverse(X_10),multiply(X_10,X_11)),
inference(subst,[],[associativity:[bind(X,$fot(inverse(X_10))),bind(Y,$fot(X_10)),bind(Z,$fot(X_11))]]) ).
cnf(refute_0_1,plain,
multiply(inverse(X_10),X_10) = identity,
inference(subst,[],[left_inverse:[bind(X,$fot(X_10))]]) ).
cnf(refute_0_2,plain,
( multiply(multiply(inverse(X_10),X_10),X_11) != multiply(inverse(X_10),multiply(X_10,X_11))
| multiply(inverse(X_10),X_10) != identity
| multiply(identity,X_11) = multiply(inverse(X_10),multiply(X_10,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_10),X_10),X_11),multiply(inverse(X_10),multiply(X_10,X_11))) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_3,plain,
( multiply(multiply(inverse(X_10),X_10),X_11) != multiply(inverse(X_10),multiply(X_10,X_11))
| multiply(identity,X_11) = multiply(inverse(X_10),multiply(X_10,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),X_10),identity) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
multiply(identity,X_11) = multiply(inverse(X_10),multiply(X_10,X_11)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_10),X_10),X_11),multiply(inverse(X_10),multiply(X_10,X_11))) )],[refute_0_0,refute_0_3]) ).
cnf(refute_0_5,plain,
multiply(identity,X_11) = X_11,
inference(subst,[],[left_identity:[bind(X,$fot(X_11))]]) ).
cnf(refute_0_6,plain,
( multiply(identity,X_11) != X_11
| multiply(identity,X_11) != multiply(inverse(X_10),multiply(X_10,X_11))
| X_11 = multiply(inverse(X_10),multiply(X_10,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,X_11),multiply(inverse(X_10),multiply(X_10,X_11))) ),[0],$fot(X_11)]]) ).
cnf(refute_0_7,plain,
( multiply(identity,X_11) != multiply(inverse(X_10),multiply(X_10,X_11))
| X_11 = multiply(inverse(X_10),multiply(X_10,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(identity,X_11),X_11) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
X_11 = multiply(inverse(X_10),multiply(X_10,X_11)),
inference(resolve,[$cnf( $equal(multiply(identity,X_11),multiply(inverse(X_10),multiply(X_10,X_11))) )],[refute_0_4,refute_0_7]) ).
cnf(refute_0_9,plain,
X_16 = multiply(inverse(multiply(X,Y)),multiply(multiply(X,Y),X_16)),
inference(subst,[],[refute_0_8:[bind(X_10,$fot(multiply(X,Y))),bind(X_11,$fot(X_16))]]) ).
cnf(refute_0_10,plain,
multiply(multiply(X,Y),X_16) = multiply(X,multiply(Y,X_16)),
inference(subst,[],[associativity:[bind(Z,$fot(X_16))]]) ).
cnf(refute_0_11,plain,
( X_16 != multiply(inverse(multiply(X,Y)),multiply(multiply(X,Y),X_16))
| multiply(multiply(X,Y),X_16) != multiply(X,multiply(Y,X_16))
| X_16 = multiply(inverse(multiply(X,Y)),multiply(X,multiply(Y,X_16))) ),
introduced(tautology,[equality,[$cnf( $equal(X_16,multiply(inverse(multiply(X,Y)),multiply(multiply(X,Y),X_16))) ),[1,1],$fot(multiply(X,multiply(Y,X_16)))]]) ).
cnf(refute_0_12,plain,
( X_16 != multiply(inverse(multiply(X,Y)),multiply(multiply(X,Y),X_16))
| X_16 = multiply(inverse(multiply(X,Y)),multiply(X,multiply(Y,X_16))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),X_16),multiply(X,multiply(Y,X_16))) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
X_16 = multiply(inverse(multiply(X,Y)),multiply(X,multiply(Y,X_16))),
inference(resolve,[$cnf( $equal(X_16,multiply(inverse(multiply(X,Y)),multiply(multiply(X,Y),X_16))) )],[refute_0_9,refute_0_12]) ).
cnf(refute_0_14,plain,
multiply(X,Y) = multiply(inverse(multiply(inverse(X),inverse(Y))),multiply(inverse(X),multiply(inverse(Y),multiply(X,Y)))),
inference(subst,[],[refute_0_13:[bind(X,$fot(inverse(X))),bind(Y,$fot(inverse(Y))),bind(X_16,$fot(multiply(X,Y)))]]) ).
cnf(refute_0_15,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_16,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_17,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
( commutator(X,Y) != multiply(inverse(X),multiply(inverse(Y),multiply(X,Y)))
| multiply(inverse(X),multiply(inverse(Y),multiply(X,Y))) = commutator(X,Y) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X,Y))),bind(Y0,$fot(multiply(inverse(X),multiply(inverse(Y),multiply(X,Y)))))]]) ).
cnf(refute_0_19,plain,
multiply(inverse(X),multiply(inverse(Y),multiply(X,Y))) = commutator(X,Y),
inference(resolve,[$cnf( $equal(commutator(X,Y),multiply(inverse(X),multiply(inverse(Y),multiply(X,Y)))) )],[name,refute_0_18]) ).
cnf(refute_0_20,plain,
( multiply(X,Y) != multiply(inverse(multiply(inverse(X),inverse(Y))),multiply(inverse(X),multiply(inverse(Y),multiply(X,Y))))
| multiply(inverse(X),multiply(inverse(Y),multiply(X,Y))) != commutator(X,Y)
| multiply(X,Y) = multiply(inverse(multiply(inverse(X),inverse(Y))),commutator(X,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,Y),multiply(inverse(multiply(inverse(X),inverse(Y))),multiply(inverse(X),multiply(inverse(Y),multiply(X,Y))))) ),[1,1],$fot(commutator(X,Y))]]) ).
cnf(refute_0_21,plain,
( multiply(X,Y) != multiply(inverse(multiply(inverse(X),inverse(Y))),multiply(inverse(X),multiply(inverse(Y),multiply(X,Y))))
| multiply(X,Y) = multiply(inverse(multiply(inverse(X),inverse(Y))),commutator(X,Y)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X),multiply(inverse(Y),multiply(X,Y))),commutator(X,Y)) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
multiply(X,Y) = multiply(inverse(multiply(inverse(X),inverse(Y))),commutator(X,Y)),
inference(resolve,[$cnf( $equal(multiply(X,Y),multiply(inverse(multiply(inverse(X),inverse(Y))),multiply(inverse(X),multiply(inverse(Y),multiply(X,Y))))) )],[refute_0_14,refute_0_21]) ).
cnf(refute_0_23,plain,
multiply(multiply(Y,X),commutator(X,Y)) = multiply(Y,multiply(X,commutator(X,Y))),
inference(subst,[],[associativity:[bind(X,$fot(Y)),bind(Y,$fot(X)),bind(Z,$fot(commutator(X,Y)))]]) ).
cnf(refute_0_24,plain,
multiply(multiply(X,inverse(X)),Z) = multiply(X,multiply(inverse(X),Z)),
inference(subst,[],[associativity:[bind(Y,$fot(inverse(X)))]]) ).
cnf(refute_0_25,plain,
commutator(inverse(X_23),commutator(X_23,X_24)) = multiply(inverse(inverse(X_23)),multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24)))),
inference(subst,[],[name:[bind(X,$fot(inverse(X_23))),bind(Y,$fot(commutator(X_23,X_24)))]]) ).
cnf(refute_0_26,plain,
commutator(commutator(inverse(Y),Y),Z) = commutator(inverse(Y),commutator(Y,Z)),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(inverse(Y)))]]) ).
cnf(refute_0_27,plain,
multiply(multiply(inverse(inverse(X_6)),inverse(X_6)),identity) = multiply(inverse(inverse(X_6)),multiply(inverse(X_6),identity)),
inference(subst,[],[associativity:[bind(X,$fot(inverse(inverse(X_6)))),bind(Y,$fot(inverse(X_6))),bind(Z,$fot(identity))]]) ).
cnf(refute_0_28,plain,
commutator(inverse(X_6),X_6) = multiply(inverse(inverse(X_6)),multiply(inverse(X_6),multiply(inverse(X_6),X_6))),
inference(subst,[],[name:[bind(X,$fot(inverse(X_6))),bind(Y,$fot(X_6))]]) ).
cnf(refute_0_29,plain,
multiply(inverse(X_6),X_6) = identity,
inference(subst,[],[left_inverse:[bind(X,$fot(X_6))]]) ).
cnf(refute_0_30,plain,
( multiply(inverse(X_6),X_6) != identity
| commutator(inverse(X_6),X_6) != multiply(inverse(inverse(X_6)),multiply(inverse(X_6),multiply(inverse(X_6),X_6)))
| commutator(inverse(X_6),X_6) = multiply(inverse(inverse(X_6)),multiply(inverse(X_6),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(X_6),X_6),multiply(inverse(inverse(X_6)),multiply(inverse(X_6),multiply(inverse(X_6),X_6)))) ),[1,1,1],$fot(identity)]]) ).
cnf(refute_0_31,plain,
( commutator(inverse(X_6),X_6) != multiply(inverse(inverse(X_6)),multiply(inverse(X_6),multiply(inverse(X_6),X_6)))
| commutator(inverse(X_6),X_6) = multiply(inverse(inverse(X_6)),multiply(inverse(X_6),identity)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_6),X_6),identity) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
commutator(inverse(X_6),X_6) = multiply(inverse(inverse(X_6)),multiply(inverse(X_6),identity)),
inference(resolve,[$cnf( $equal(commutator(inverse(X_6),X_6),multiply(inverse(inverse(X_6)),multiply(inverse(X_6),multiply(inverse(X_6),X_6)))) )],[refute_0_28,refute_0_31]) ).
cnf(refute_0_33,plain,
( commutator(inverse(X_6),X_6) != multiply(inverse(inverse(X_6)),multiply(inverse(X_6),identity))
| multiply(inverse(inverse(X_6)),multiply(inverse(X_6),identity)) = commutator(inverse(X_6),X_6) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(inverse(X_6),X_6))),bind(Y0,$fot(multiply(inverse(inverse(X_6)),multiply(inverse(X_6),identity))))]]) ).
cnf(refute_0_34,plain,
multiply(inverse(inverse(X_6)),multiply(inverse(X_6),identity)) = commutator(inverse(X_6),X_6),
inference(resolve,[$cnf( $equal(commutator(inverse(X_6),X_6),multiply(inverse(inverse(X_6)),multiply(inverse(X_6),identity))) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
( multiply(multiply(inverse(inverse(X_6)),inverse(X_6)),identity) != multiply(inverse(inverse(X_6)),multiply(inverse(X_6),identity))
| multiply(inverse(inverse(X_6)),multiply(inverse(X_6),identity)) != commutator(inverse(X_6),X_6)
| multiply(multiply(inverse(inverse(X_6)),inverse(X_6)),identity) = commutator(inverse(X_6),X_6) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(inverse(inverse(X_6)),inverse(X_6)),identity),commutator(inverse(X_6),X_6)) ),[0],$fot(multiply(inverse(inverse(X_6)),multiply(inverse(X_6),identity)))]]) ).
cnf(refute_0_36,plain,
( multiply(multiply(inverse(inverse(X_6)),inverse(X_6)),identity) != multiply(inverse(inverse(X_6)),multiply(inverse(X_6),identity))
| multiply(multiply(inverse(inverse(X_6)),inverse(X_6)),identity) = commutator(inverse(X_6),X_6) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_6)),multiply(inverse(X_6),identity)),commutator(inverse(X_6),X_6)) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
multiply(multiply(inverse(inverse(X_6)),inverse(X_6)),identity) = commutator(inverse(X_6),X_6),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(X_6)),inverse(X_6)),identity),multiply(inverse(inverse(X_6)),multiply(inverse(X_6),identity))) )],[refute_0_27,refute_0_36]) ).
cnf(refute_0_38,plain,
( X_11 != multiply(inverse(X_10),multiply(X_10,X_11))
| multiply(inverse(X_10),multiply(X_10,X_11)) = X_11 ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(X_11)),bind(Y0,$fot(multiply(inverse(X_10),multiply(X_10,X_11))))]]) ).
cnf(refute_0_39,plain,
multiply(inverse(X_10),multiply(X_10,X_11)) = X_11,
inference(resolve,[$cnf( $equal(X_11,multiply(inverse(X_10),multiply(X_10,X_11))) )],[refute_0_8,refute_0_38]) ).
cnf(refute_0_40,plain,
multiply(inverse(inverse(X_6)),multiply(inverse(X_6),identity)) = identity,
inference(subst,[],[refute_0_39:[bind(X_10,$fot(inverse(X_6))),bind(X_11,$fot(identity))]]) ).
cnf(refute_0_41,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_42,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_17,refute_0_41]) ).
cnf(refute_0_43,plain,
( multiply(multiply(inverse(inverse(X_6)),inverse(X_6)),identity) != multiply(inverse(inverse(X_6)),multiply(inverse(X_6),identity))
| multiply(inverse(inverse(X_6)),multiply(inverse(X_6),identity)) != identity
| multiply(multiply(inverse(inverse(X_6)),inverse(X_6)),identity) = identity ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(inverse(inverse(X_6)),inverse(X_6)),identity))),bind(Y0,$fot(multiply(inverse(inverse(X_6)),multiply(inverse(X_6),identity)))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_44,plain,
( multiply(inverse(inverse(X_6)),multiply(inverse(X_6),identity)) != identity
| multiply(multiply(inverse(inverse(X_6)),inverse(X_6)),identity) = identity ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(X_6)),inverse(X_6)),identity),multiply(inverse(inverse(X_6)),multiply(inverse(X_6),identity))) )],[refute_0_27,refute_0_43]) ).
cnf(refute_0_45,plain,
multiply(multiply(inverse(inverse(X_6)),inverse(X_6)),identity) = identity,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_6)),multiply(inverse(X_6),identity)),identity) )],[refute_0_40,refute_0_44]) ).
cnf(refute_0_46,plain,
( multiply(multiply(inverse(inverse(X_6)),inverse(X_6)),identity) != commutator(inverse(X_6),X_6)
| multiply(multiply(inverse(inverse(X_6)),inverse(X_6)),identity) != identity
| identity = commutator(inverse(X_6),X_6) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(inverse(X_6)),inverse(X_6)),identity),commutator(inverse(X_6),X_6)) ),[0],$fot(identity)]]) ).
cnf(refute_0_47,plain,
( multiply(multiply(inverse(inverse(X_6)),inverse(X_6)),identity) != commutator(inverse(X_6),X_6)
| identity = commutator(inverse(X_6),X_6) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(X_6)),inverse(X_6)),identity),identity) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
identity = commutator(inverse(X_6),X_6),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(X_6)),inverse(X_6)),identity),commutator(inverse(X_6),X_6)) )],[refute_0_37,refute_0_47]) ).
cnf(refute_0_49,plain,
identity = commutator(inverse(Y),Y),
inference(subst,[],[refute_0_48:[bind(X_6,$fot(Y))]]) ).
cnf(refute_0_50,plain,
( identity != commutator(inverse(Y),Y)
| commutator(inverse(Y),Y) = identity ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(identity)),bind(Y0,$fot(commutator(inverse(Y),Y)))]]) ).
cnf(refute_0_51,plain,
commutator(inverse(Y),Y) = identity,
inference(resolve,[$cnf( $equal(identity,commutator(inverse(Y),Y)) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
( commutator(commutator(inverse(Y),Y),Z) != commutator(inverse(Y),commutator(Y,Z))
| commutator(inverse(Y),Y) != identity
| commutator(identity,Z) = commutator(inverse(Y),commutator(Y,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(inverse(Y),Y),Z),commutator(inverse(Y),commutator(Y,Z))) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_53,plain,
( commutator(commutator(inverse(Y),Y),Z) != commutator(inverse(Y),commutator(Y,Z))
| commutator(identity,Z) = commutator(inverse(Y),commutator(Y,Z)) ),
inference(resolve,[$cnf( $equal(commutator(inverse(Y),Y),identity) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
commutator(identity,Z) = commutator(inverse(Y),commutator(Y,Z)),
inference(resolve,[$cnf( $equal(commutator(commutator(inverse(Y),Y),Z),commutator(inverse(Y),commutator(Y,Z))) )],[refute_0_26,refute_0_53]) ).
cnf(refute_0_55,plain,
commutator(identity,X_6) = multiply(inverse(identity),multiply(inverse(X_6),multiply(identity,X_6))),
inference(subst,[],[name:[bind(X,$fot(identity)),bind(Y,$fot(X_6))]]) ).
cnf(refute_0_56,plain,
multiply(identity,X_6) = X_6,
inference(subst,[],[left_identity:[bind(X,$fot(X_6))]]) ).
cnf(refute_0_57,plain,
( multiply(identity,X_6) != X_6
| commutator(identity,X_6) != multiply(inverse(identity),multiply(inverse(X_6),multiply(identity,X_6)))
| commutator(identity,X_6) = multiply(inverse(identity),multiply(inverse(X_6),X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(identity,X_6),multiply(inverse(identity),multiply(inverse(X_6),multiply(identity,X_6)))) ),[1,1,1],$fot(X_6)]]) ).
cnf(refute_0_58,plain,
( commutator(identity,X_6) != multiply(inverse(identity),multiply(inverse(X_6),multiply(identity,X_6)))
| commutator(identity,X_6) = multiply(inverse(identity),multiply(inverse(X_6),X_6)) ),
inference(resolve,[$cnf( $equal(multiply(identity,X_6),X_6) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
commutator(identity,X_6) = multiply(inverse(identity),multiply(inverse(X_6),X_6)),
inference(resolve,[$cnf( $equal(commutator(identity,X_6),multiply(inverse(identity),multiply(inverse(X_6),multiply(identity,X_6)))) )],[refute_0_55,refute_0_58]) ).
cnf(refute_0_60,plain,
multiply(inverse(identity),identity) = identity,
inference(subst,[],[left_inverse:[bind(X,$fot(identity))]]) ).
cnf(refute_0_61,plain,
multiply(inverse(identity),multiply(inverse(X_6),X_6)) = multiply(inverse(identity),multiply(inverse(X_6),X_6)),
introduced(tautology,[refl,[$fot(multiply(inverse(identity),multiply(inverse(X_6),X_6)))]]) ).
cnf(refute_0_62,plain,
( multiply(inverse(X_6),X_6) != identity
| multiply(inverse(identity),multiply(inverse(X_6),X_6)) != multiply(inverse(identity),multiply(inverse(X_6),X_6))
| multiply(inverse(identity),multiply(inverse(X_6),X_6)) = multiply(inverse(identity),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),multiply(inverse(X_6),X_6)),multiply(inverse(identity),multiply(inverse(X_6),X_6))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_63,plain,
( multiply(inverse(X_6),X_6) != identity
| multiply(inverse(identity),multiply(inverse(X_6),X_6)) = multiply(inverse(identity),identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),multiply(inverse(X_6),X_6)),multiply(inverse(identity),multiply(inverse(X_6),X_6))) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
multiply(inverse(identity),multiply(inverse(X_6),X_6)) = multiply(inverse(identity),identity),
inference(resolve,[$cnf( $equal(multiply(inverse(X_6),X_6),identity) )],[refute_0_29,refute_0_63]) ).
cnf(refute_0_65,plain,
( multiply(inverse(identity),multiply(inverse(X_6),X_6)) != multiply(inverse(identity),identity)
| multiply(inverse(identity),identity) != identity
| multiply(inverse(identity),multiply(inverse(X_6),X_6)) = identity ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(identity),multiply(inverse(X_6),X_6)))),bind(Y0,$fot(multiply(inverse(identity),identity))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_66,plain,
( multiply(inverse(identity),identity) != identity
| multiply(inverse(identity),multiply(inverse(X_6),X_6)) = identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),multiply(inverse(X_6),X_6)),multiply(inverse(identity),identity)) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
multiply(inverse(identity),multiply(inverse(X_6),X_6)) = identity,
inference(resolve,[$cnf( $equal(multiply(inverse(identity),identity),identity) )],[refute_0_60,refute_0_66]) ).
cnf(refute_0_68,plain,
( multiply(inverse(identity),multiply(inverse(X_6),X_6)) != identity
| commutator(identity,X_6) != multiply(inverse(identity),multiply(inverse(X_6),X_6))
| commutator(identity,X_6) = identity ),
introduced(tautology,[equality,[$cnf( $equal(commutator(identity,X_6),multiply(inverse(identity),multiply(inverse(X_6),X_6))) ),[1],$fot(identity)]]) ).
cnf(refute_0_69,plain,
( commutator(identity,X_6) != multiply(inverse(identity),multiply(inverse(X_6),X_6))
| commutator(identity,X_6) = identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),multiply(inverse(X_6),X_6)),identity) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
commutator(identity,X_6) = identity,
inference(resolve,[$cnf( $equal(commutator(identity,X_6),multiply(inverse(identity),multiply(inverse(X_6),X_6))) )],[refute_0_59,refute_0_69]) ).
cnf(refute_0_71,plain,
commutator(identity,Z) = identity,
inference(subst,[],[refute_0_70:[bind(X_6,$fot(Z))]]) ).
cnf(refute_0_72,plain,
( commutator(identity,Z) != commutator(inverse(Y),commutator(Y,Z))
| commutator(identity,Z) != identity
| identity = commutator(inverse(Y),commutator(Y,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(identity,Z),commutator(inverse(Y),commutator(Y,Z))) ),[0],$fot(identity)]]) ).
cnf(refute_0_73,plain,
( commutator(identity,Z) != commutator(inverse(Y),commutator(Y,Z))
| identity = commutator(inverse(Y),commutator(Y,Z)) ),
inference(resolve,[$cnf( $equal(commutator(identity,Z),identity) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
identity = commutator(inverse(Y),commutator(Y,Z)),
inference(resolve,[$cnf( $equal(commutator(identity,Z),commutator(inverse(Y),commutator(Y,Z))) )],[refute_0_54,refute_0_73]) ).
cnf(refute_0_75,plain,
identity = commutator(inverse(X_23),commutator(X_23,X_24)),
inference(subst,[],[refute_0_74:[bind(Y,$fot(X_23)),bind(Z,$fot(X_24))]]) ).
cnf(refute_0_76,plain,
( identity != commutator(inverse(X_23),commutator(X_23,X_24))
| commutator(inverse(X_23),commutator(X_23,X_24)) = identity ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(identity)),bind(Y0,$fot(commutator(inverse(X_23),commutator(X_23,X_24))))]]) ).
cnf(refute_0_77,plain,
commutator(inverse(X_23),commutator(X_23,X_24)) = identity,
inference(resolve,[$cnf( $equal(identity,commutator(inverse(X_23),commutator(X_23,X_24))) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
( commutator(inverse(X_23),commutator(X_23,X_24)) != multiply(inverse(inverse(X_23)),multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24))))
| commutator(inverse(X_23),commutator(X_23,X_24)) != identity
| identity = multiply(inverse(inverse(X_23)),multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(X_23),commutator(X_23,X_24)),multiply(inverse(inverse(X_23)),multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24))))) ),[0],$fot(identity)]]) ).
cnf(refute_0_79,plain,
( commutator(inverse(X_23),commutator(X_23,X_24)) != multiply(inverse(inverse(X_23)),multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24))))
| identity = multiply(inverse(inverse(X_23)),multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24)))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_23),commutator(X_23,X_24)),identity) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
identity = multiply(inverse(inverse(X_23)),multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24)))),
inference(resolve,[$cnf( $equal(commutator(inverse(X_23),commutator(X_23,X_24)),multiply(inverse(inverse(X_23)),multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24))))) )],[refute_0_25,refute_0_79]) ).
cnf(refute_0_81,plain,
X_16 = multiply(inverse(inverse(X_16)),multiply(inverse(X_16),X_16)),
inference(subst,[],[refute_0_8:[bind(X_10,$fot(inverse(X_16))),bind(X_11,$fot(X_16))]]) ).
cnf(refute_0_82,plain,
multiply(inverse(X_16),X_16) = identity,
inference(subst,[],[left_inverse:[bind(X,$fot(X_16))]]) ).
cnf(refute_0_83,plain,
( X_16 != multiply(inverse(inverse(X_16)),multiply(inverse(X_16),X_16))
| multiply(inverse(X_16),X_16) != identity
| X_16 = multiply(inverse(inverse(X_16)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(X_16,multiply(inverse(inverse(X_16)),multiply(inverse(X_16),X_16))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_84,plain,
( X_16 != multiply(inverse(inverse(X_16)),multiply(inverse(X_16),X_16))
| X_16 = multiply(inverse(inverse(X_16)),identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_16),X_16),identity) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
X_16 = multiply(inverse(inverse(X_16)),identity),
inference(resolve,[$cnf( $equal(X_16,multiply(inverse(inverse(X_16)),multiply(inverse(X_16),X_16))) )],[refute_0_81,refute_0_84]) ).
cnf(refute_0_86,plain,
multiply(X_15,X_16) = multiply(inverse(inverse(X_15)),multiply(inverse(X_15),multiply(X_15,X_16))),
inference(subst,[],[refute_0_8:[bind(X_10,$fot(inverse(X_15))),bind(X_11,$fot(multiply(X_15,X_16)))]]) ).
cnf(refute_0_87,plain,
X_16 = multiply(inverse(X_15),multiply(X_15,X_16)),
inference(subst,[],[refute_0_8:[bind(X_10,$fot(X_15)),bind(X_11,$fot(X_16))]]) ).
cnf(refute_0_88,plain,
( X_16 != multiply(inverse(X_15),multiply(X_15,X_16))
| multiply(inverse(X_15),multiply(X_15,X_16)) = X_16 ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(X_16)),bind(Y0,$fot(multiply(inverse(X_15),multiply(X_15,X_16))))]]) ).
cnf(refute_0_89,plain,
multiply(inverse(X_15),multiply(X_15,X_16)) = X_16,
inference(resolve,[$cnf( $equal(X_16,multiply(inverse(X_15),multiply(X_15,X_16))) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
( multiply(X_15,X_16) != multiply(inverse(inverse(X_15)),multiply(inverse(X_15),multiply(X_15,X_16)))
| multiply(inverse(X_15),multiply(X_15,X_16)) != X_16
| multiply(X_15,X_16) = multiply(inverse(inverse(X_15)),X_16) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_15,X_16),multiply(inverse(inverse(X_15)),multiply(inverse(X_15),multiply(X_15,X_16)))) ),[1,1],$fot(X_16)]]) ).
cnf(refute_0_91,plain,
( multiply(X_15,X_16) != multiply(inverse(inverse(X_15)),multiply(inverse(X_15),multiply(X_15,X_16)))
| multiply(X_15,X_16) = multiply(inverse(inverse(X_15)),X_16) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_15),multiply(X_15,X_16)),X_16) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
multiply(X_15,X_16) = multiply(inverse(inverse(X_15)),X_16),
inference(resolve,[$cnf( $equal(multiply(X_15,X_16),multiply(inverse(inverse(X_15)),multiply(inverse(X_15),multiply(X_15,X_16)))) )],[refute_0_86,refute_0_91]) ).
cnf(refute_0_93,plain,
( multiply(X_15,X_16) != multiply(inverse(inverse(X_15)),X_16)
| multiply(inverse(inverse(X_15)),X_16) = multiply(X_15,X_16) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(X_15,X_16))),bind(Y0,$fot(multiply(inverse(inverse(X_15)),X_16)))]]) ).
cnf(refute_0_94,plain,
multiply(inverse(inverse(X_15)),X_16) = multiply(X_15,X_16),
inference(resolve,[$cnf( $equal(multiply(X_15,X_16),multiply(inverse(inverse(X_15)),X_16)) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
multiply(inverse(inverse(X_16)),identity) = multiply(X_16,identity),
inference(subst,[],[refute_0_94:[bind(X_15,$fot(X_16)),bind(X_16,$fot(identity))]]) ).
cnf(refute_0_96,plain,
( X_16 != multiply(inverse(inverse(X_16)),identity)
| multiply(inverse(inverse(X_16)),identity) != multiply(X_16,identity)
| X_16 = multiply(X_16,identity) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_16,multiply(X_16,identity)) ),[0],$fot(multiply(inverse(inverse(X_16)),identity))]]) ).
cnf(refute_0_97,plain,
( X_16 != multiply(inverse(inverse(X_16)),identity)
| X_16 = multiply(X_16,identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_16)),identity),multiply(X_16,identity)) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
X_16 = multiply(X_16,identity),
inference(resolve,[$cnf( $equal(X_16,multiply(inverse(inverse(X_16)),identity)) )],[refute_0_85,refute_0_97]) ).
cnf(refute_0_99,plain,
( X_16 != multiply(X_16,identity)
| multiply(X_16,identity) = X_16 ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(X_16)),bind(Y0,$fot(multiply(X_16,identity)))]]) ).
cnf(refute_0_100,plain,
multiply(X_16,identity) = X_16,
inference(resolve,[$cnf( $equal(X_16,multiply(X_16,identity)) )],[refute_0_98,refute_0_99]) ).
cnf(refute_0_101,plain,
multiply(inverse(X_23),identity) = inverse(X_23),
inference(subst,[],[refute_0_100:[bind(X_16,$fot(inverse(X_23)))]]) ).
cnf(refute_0_102,plain,
multiply(inverse(X_23),commutator(inverse(X_23),commutator(X_23,X_24))) = multiply(inverse(X_23),commutator(inverse(X_23),commutator(X_23,X_24))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_23),commutator(inverse(X_23),commutator(X_23,X_24))))]]) ).
cnf(refute_0_103,plain,
( multiply(inverse(X_23),commutator(inverse(X_23),commutator(X_23,X_24))) != multiply(inverse(X_23),commutator(inverse(X_23),commutator(X_23,X_24)))
| commutator(inverse(X_23),commutator(X_23,X_24)) != identity
| multiply(inverse(X_23),commutator(inverse(X_23),commutator(X_23,X_24))) = multiply(inverse(X_23),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_23),commutator(inverse(X_23),commutator(X_23,X_24))),multiply(inverse(X_23),commutator(inverse(X_23),commutator(X_23,X_24)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_104,plain,
( commutator(inverse(X_23),commutator(X_23,X_24)) != identity
| multiply(inverse(X_23),commutator(inverse(X_23),commutator(X_23,X_24))) = multiply(inverse(X_23),identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_23),commutator(inverse(X_23),commutator(X_23,X_24))),multiply(inverse(X_23),commutator(inverse(X_23),commutator(X_23,X_24)))) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
multiply(inverse(X_23),commutator(inverse(X_23),commutator(X_23,X_24))) = multiply(inverse(X_23),identity),
inference(resolve,[$cnf( $equal(commutator(inverse(X_23),commutator(X_23,X_24)),identity) )],[refute_0_77,refute_0_104]) ).
cnf(refute_0_106,plain,
( multiply(inverse(X_23),commutator(inverse(X_23),commutator(X_23,X_24))) != multiply(inverse(X_23),identity)
| multiply(inverse(X_23),identity) != inverse(X_23)
| multiply(inverse(X_23),commutator(inverse(X_23),commutator(X_23,X_24))) = inverse(X_23) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(X_23),commutator(inverse(X_23),commutator(X_23,X_24))))),bind(Y0,$fot(multiply(inverse(X_23),identity))),bind(Z0,$fot(inverse(X_23)))]]) ).
cnf(refute_0_107,plain,
( multiply(inverse(X_23),identity) != inverse(X_23)
| multiply(inverse(X_23),commutator(inverse(X_23),commutator(X_23,X_24))) = inverse(X_23) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_23),commutator(inverse(X_23),commutator(X_23,X_24))),multiply(inverse(X_23),identity)) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
multiply(inverse(X_23),commutator(inverse(X_23),commutator(X_23,X_24))) = inverse(X_23),
inference(resolve,[$cnf( $equal(multiply(inverse(X_23),identity),inverse(X_23)) )],[refute_0_101,refute_0_107]) ).
cnf(refute_0_109,plain,
multiply(inverse(Y),multiply(X,Y)) = multiply(inverse(inverse(X)),multiply(inverse(X),multiply(inverse(Y),multiply(X,Y)))),
inference(subst,[],[refute_0_8:[bind(X_10,$fot(inverse(X))),bind(X_11,$fot(multiply(inverse(Y),multiply(X,Y))))]]) ).
cnf(refute_0_110,plain,
( multiply(inverse(X),multiply(inverse(Y),multiply(X,Y))) != commutator(X,Y)
| multiply(inverse(Y),multiply(X,Y)) != multiply(inverse(inverse(X)),multiply(inverse(X),multiply(inverse(Y),multiply(X,Y))))
| multiply(inverse(Y),multiply(X,Y)) = multiply(inverse(inverse(X)),commutator(X,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(Y),multiply(X,Y)),multiply(inverse(inverse(X)),multiply(inverse(X),multiply(inverse(Y),multiply(X,Y))))) ),[1,1],$fot(commutator(X,Y))]]) ).
cnf(refute_0_111,plain,
( multiply(inverse(Y),multiply(X,Y)) != multiply(inverse(inverse(X)),multiply(inverse(X),multiply(inverse(Y),multiply(X,Y))))
| multiply(inverse(Y),multiply(X,Y)) = multiply(inverse(inverse(X)),commutator(X,Y)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X),multiply(inverse(Y),multiply(X,Y))),commutator(X,Y)) )],[refute_0_19,refute_0_110]) ).
cnf(refute_0_112,plain,
multiply(inverse(Y),multiply(X,Y)) = multiply(inverse(inverse(X)),commutator(X,Y)),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),multiply(X,Y)),multiply(inverse(inverse(X)),multiply(inverse(X),multiply(inverse(Y),multiply(X,Y))))) )],[refute_0_109,refute_0_111]) ).
cnf(refute_0_113,plain,
multiply(inverse(inverse(X)),commutator(X,Y)) = multiply(X,commutator(X,Y)),
inference(subst,[],[refute_0_94:[bind(X_15,$fot(X)),bind(X_16,$fot(commutator(X,Y)))]]) ).
cnf(refute_0_114,plain,
( multiply(inverse(Y),multiply(X,Y)) != multiply(inverse(inverse(X)),commutator(X,Y))
| multiply(inverse(inverse(X)),commutator(X,Y)) != multiply(X,commutator(X,Y))
| multiply(inverse(Y),multiply(X,Y)) = multiply(X,commutator(X,Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(Y),multiply(X,Y)),multiply(X,commutator(X,Y))) ),[0],$fot(multiply(inverse(inverse(X)),commutator(X,Y)))]]) ).
cnf(refute_0_115,plain,
( multiply(inverse(Y),multiply(X,Y)) != multiply(inverse(inverse(X)),commutator(X,Y))
| multiply(inverse(Y),multiply(X,Y)) = multiply(X,commutator(X,Y)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X)),commutator(X,Y)),multiply(X,commutator(X,Y))) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
multiply(inverse(Y),multiply(X,Y)) = multiply(X,commutator(X,Y)),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),multiply(X,Y)),multiply(inverse(inverse(X)),commutator(X,Y))) )],[refute_0_112,refute_0_115]) ).
cnf(refute_0_117,plain,
multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24))) = multiply(inverse(X_23),commutator(inverse(X_23),commutator(X_23,X_24))),
inference(subst,[],[refute_0_116:[bind(X,$fot(inverse(X_23))),bind(Y,$fot(commutator(X_23,X_24)))]]) ).
cnf(refute_0_118,plain,
( multiply(inverse(X_23),commutator(inverse(X_23),commutator(X_23,X_24))) != inverse(X_23)
| multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24))) != multiply(inverse(X_23),commutator(inverse(X_23),commutator(X_23,X_24)))
| multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24))) = inverse(X_23) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24))))),bind(Y0,$fot(multiply(inverse(X_23),commutator(inverse(X_23),commutator(X_23,X_24))))),bind(Z0,$fot(inverse(X_23)))]]) ).
cnf(refute_0_119,plain,
( multiply(inverse(X_23),commutator(inverse(X_23),commutator(X_23,X_24))) != inverse(X_23)
| multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24))) = inverse(X_23) ),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24))),multiply(inverse(X_23),commutator(inverse(X_23),commutator(X_23,X_24)))) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24))) = inverse(X_23),
inference(resolve,[$cnf( $equal(multiply(inverse(X_23),commutator(inverse(X_23),commutator(X_23,X_24))),inverse(X_23)) )],[refute_0_108,refute_0_119]) ).
cnf(refute_0_121,plain,
multiply(X_23,multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24)))) = multiply(X_23,multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24)))),
introduced(tautology,[refl,[$fot(multiply(X_23,multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24)))))]]) ).
cnf(refute_0_122,plain,
( multiply(X_23,multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24)))) != multiply(X_23,multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24))))
| multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24))) != inverse(X_23)
| multiply(X_23,multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24)))) = multiply(X_23,inverse(X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_23,multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24)))),multiply(X_23,multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24))))) ),[1,1],$fot(inverse(X_23))]]) ).
cnf(refute_0_123,plain,
( multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24))) != inverse(X_23)
| multiply(X_23,multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24)))) = multiply(X_23,inverse(X_23)) ),
inference(resolve,[$cnf( $equal(multiply(X_23,multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24)))),multiply(X_23,multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24))))) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
multiply(X_23,multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24)))) = multiply(X_23,inverse(X_23)),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24))),inverse(X_23)) )],[refute_0_120,refute_0_123]) ).
cnf(refute_0_125,plain,
multiply(inverse(inverse(X_23)),multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24)))) = multiply(X_23,multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24)))),
inference(subst,[],[refute_0_94:[bind(X_15,$fot(X_23)),bind(X_16,$fot(multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24)))))]]) ).
cnf(refute_0_126,plain,
( multiply(X_23,multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24)))) != multiply(X_23,inverse(X_23))
| multiply(inverse(inverse(X_23)),multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24)))) != multiply(X_23,multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24))))
| multiply(inverse(inverse(X_23)),multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24)))) = multiply(X_23,inverse(X_23)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(inverse(X_23)),multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24)))))),bind(Y0,$fot(multiply(X_23,multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24)))))),bind(Z0,$fot(multiply(X_23,inverse(X_23))))]]) ).
cnf(refute_0_127,plain,
( multiply(X_23,multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24)))) != multiply(X_23,inverse(X_23))
| multiply(inverse(inverse(X_23)),multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24)))) = multiply(X_23,inverse(X_23)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_23)),multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24)))),multiply(X_23,multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24))))) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
multiply(inverse(inverse(X_23)),multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24)))) = multiply(X_23,inverse(X_23)),
inference(resolve,[$cnf( $equal(multiply(X_23,multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24)))),multiply(X_23,inverse(X_23))) )],[refute_0_124,refute_0_127]) ).
cnf(refute_0_129,plain,
( multiply(inverse(inverse(X_23)),multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24)))) != multiply(X_23,inverse(X_23))
| identity != multiply(inverse(inverse(X_23)),multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24))))
| identity = multiply(X_23,inverse(X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(identity,multiply(inverse(inverse(X_23)),multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24))))) ),[1],$fot(multiply(X_23,inverse(X_23)))]]) ).
cnf(refute_0_130,plain,
( identity != multiply(inverse(inverse(X_23)),multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24))))
| identity = multiply(X_23,inverse(X_23)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_23)),multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24)))),multiply(X_23,inverse(X_23))) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
identity = multiply(X_23,inverse(X_23)),
inference(resolve,[$cnf( $equal(identity,multiply(inverse(inverse(X_23)),multiply(inverse(commutator(X_23,X_24)),multiply(inverse(X_23),commutator(X_23,X_24))))) )],[refute_0_80,refute_0_130]) ).
cnf(refute_0_132,plain,
identity = multiply(X,inverse(X)),
inference(subst,[],[refute_0_131:[bind(X_23,$fot(X))]]) ).
cnf(refute_0_133,plain,
( identity != multiply(X,inverse(X))
| multiply(X,inverse(X)) = identity ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(identity)),bind(Y0,$fot(multiply(X,inverse(X))))]]) ).
cnf(refute_0_134,plain,
multiply(X,inverse(X)) = identity,
inference(resolve,[$cnf( $equal(identity,multiply(X,inverse(X))) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
( multiply(X,inverse(X)) != identity
| multiply(multiply(X,inverse(X)),Z) != multiply(X,multiply(inverse(X),Z))
| multiply(identity,Z) = multiply(X,multiply(inverse(X),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X,inverse(X)),Z),multiply(X,multiply(inverse(X),Z))) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_136,plain,
( multiply(multiply(X,inverse(X)),Z) != multiply(X,multiply(inverse(X),Z))
| multiply(identity,Z) = multiply(X,multiply(inverse(X),Z)) ),
inference(resolve,[$cnf( $equal(multiply(X,inverse(X)),identity) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
multiply(identity,Z) = multiply(X,multiply(inverse(X),Z)),
inference(resolve,[$cnf( $equal(multiply(multiply(X,inverse(X)),Z),multiply(X,multiply(inverse(X),Z))) )],[refute_0_24,refute_0_136]) ).
cnf(refute_0_138,plain,
multiply(identity,Z) = Z,
inference(subst,[],[left_identity:[bind(X,$fot(Z))]]) ).
cnf(refute_0_139,plain,
( multiply(identity,Z) != Z
| multiply(identity,Z) != multiply(X,multiply(inverse(X),Z))
| Z = multiply(X,multiply(inverse(X),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,Z),multiply(X,multiply(inverse(X),Z))) ),[0],$fot(Z)]]) ).
cnf(refute_0_140,plain,
( multiply(identity,Z) != multiply(X,multiply(inverse(X),Z))
| Z = multiply(X,multiply(inverse(X),Z)) ),
inference(resolve,[$cnf( $equal(multiply(identity,Z),Z) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
Z = multiply(X,multiply(inverse(X),Z)),
inference(resolve,[$cnf( $equal(multiply(identity,Z),multiply(X,multiply(inverse(X),Z))) )],[refute_0_137,refute_0_140]) ).
cnf(refute_0_142,plain,
inverse(inverse(X_27)) = multiply(X_27,multiply(inverse(X_27),inverse(inverse(X_27)))),
inference(subst,[],[refute_0_141:[bind(X,$fot(X_27)),bind(Z,$fot(inverse(inverse(X_27))))]]) ).
cnf(refute_0_143,plain,
identity = multiply(inverse(X_27),inverse(inverse(X_27))),
inference(subst,[],[refute_0_131:[bind(X_23,$fot(inverse(X_27)))]]) ).
cnf(refute_0_144,plain,
( identity != multiply(inverse(X_27),inverse(inverse(X_27)))
| multiply(inverse(X_27),inverse(inverse(X_27))) = identity ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(identity)),bind(Y0,$fot(multiply(inverse(X_27),inverse(inverse(X_27)))))]]) ).
cnf(refute_0_145,plain,
multiply(inverse(X_27),inverse(inverse(X_27))) = identity,
inference(resolve,[$cnf( $equal(identity,multiply(inverse(X_27),inverse(inverse(X_27)))) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
( multiply(inverse(X_27),inverse(inverse(X_27))) != identity
| inverse(inverse(X_27)) != multiply(X_27,multiply(inverse(X_27),inverse(inverse(X_27))))
| inverse(inverse(X_27)) = multiply(X_27,identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_27)),multiply(X_27,multiply(inverse(X_27),inverse(inverse(X_27))))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_147,plain,
( inverse(inverse(X_27)) != multiply(X_27,multiply(inverse(X_27),inverse(inverse(X_27))))
| inverse(inverse(X_27)) = multiply(X_27,identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_27),inverse(inverse(X_27))),identity) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
inverse(inverse(X_27)) = multiply(X_27,identity),
inference(resolve,[$cnf( $equal(inverse(inverse(X_27)),multiply(X_27,multiply(inverse(X_27),inverse(inverse(X_27))))) )],[refute_0_142,refute_0_147]) ).
cnf(refute_0_149,plain,
multiply(X_27,identity) = X_27,
inference(subst,[],[refute_0_100:[bind(X_16,$fot(X_27))]]) ).
cnf(refute_0_150,plain,
( multiply(X_27,identity) != X_27
| inverse(inverse(X_27)) != multiply(X_27,identity)
| inverse(inverse(X_27)) = X_27 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_27)),multiply(X_27,identity)) ),[1],$fot(X_27)]]) ).
cnf(refute_0_151,plain,
( inverse(inverse(X_27)) != multiply(X_27,identity)
| inverse(inverse(X_27)) = X_27 ),
inference(resolve,[$cnf( $equal(multiply(X_27,identity),X_27) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
inverse(inverse(X_27)) = X_27,
inference(resolve,[$cnf( $equal(inverse(inverse(X_27)),multiply(X_27,identity)) )],[refute_0_148,refute_0_151]) ).
cnf(refute_0_153,plain,
inverse(inverse(X)) = X,
inference(subst,[],[refute_0_152:[bind(X_27,$fot(X))]]) ).
cnf(refute_0_154,plain,
multiply(Y,inverse(inverse(X))) = multiply(Y,inverse(inverse(X))),
introduced(tautology,[refl,[$fot(multiply(Y,inverse(inverse(X))))]]) ).
cnf(refute_0_155,plain,
( multiply(Y,inverse(inverse(X))) != multiply(Y,inverse(inverse(X)))
| inverse(inverse(X)) != X
| multiply(Y,inverse(inverse(X))) = multiply(Y,X) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Y,inverse(inverse(X))),multiply(Y,inverse(inverse(X)))) ),[1,1],$fot(X)]]) ).
cnf(refute_0_156,plain,
( inverse(inverse(X)) != X
| multiply(Y,inverse(inverse(X))) = multiply(Y,X) ),
inference(resolve,[$cnf( $equal(multiply(Y,inverse(inverse(X))),multiply(Y,inverse(inverse(X)))) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
multiply(Y,inverse(inverse(X))) = multiply(Y,X),
inference(resolve,[$cnf( $equal(inverse(inverse(X)),X) )],[refute_0_153,refute_0_156]) ).
cnf(refute_0_158,plain,
inverse(multiply(X_58,inverse(X))) = multiply(X,multiply(inverse(X),inverse(multiply(X_58,inverse(X))))),
inference(subst,[],[refute_0_141:[bind(Z,$fot(inverse(multiply(X_58,inverse(X)))))]]) ).
cnf(refute_0_159,plain,
multiply(X_57,inverse(multiply(X_10,X_57))) = multiply(inverse(X_10),multiply(X_10,multiply(X_57,inverse(multiply(X_10,X_57))))),
inference(subst,[],[refute_0_8:[bind(X_11,$fot(multiply(X_57,inverse(multiply(X_10,X_57)))))]]) ).
cnf(refute_0_160,plain,
multiply(multiply(X,Y),inverse(multiply(X,Y))) = multiply(X,multiply(Y,inverse(multiply(X,Y)))),
inference(subst,[],[associativity:[bind(Z,$fot(inverse(multiply(X,Y))))]]) ).
cnf(refute_0_161,plain,
identity = multiply(multiply(X,Y),inverse(multiply(X,Y))),
inference(subst,[],[refute_0_131:[bind(X_23,$fot(multiply(X,Y)))]]) ).
cnf(refute_0_162,plain,
( identity != multiply(multiply(X,Y),inverse(multiply(X,Y)))
| multiply(multiply(X,Y),inverse(multiply(X,Y))) = identity ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(identity)),bind(Y0,$fot(multiply(multiply(X,Y),inverse(multiply(X,Y)))))]]) ).
cnf(refute_0_163,plain,
multiply(multiply(X,Y),inverse(multiply(X,Y))) = identity,
inference(resolve,[$cnf( $equal(identity,multiply(multiply(X,Y),inverse(multiply(X,Y)))) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
( multiply(multiply(X,Y),inverse(multiply(X,Y))) != multiply(X,multiply(Y,inverse(multiply(X,Y))))
| multiply(multiply(X,Y),inverse(multiply(X,Y))) != identity
| identity = multiply(X,multiply(Y,inverse(multiply(X,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X,Y),inverse(multiply(X,Y))),multiply(X,multiply(Y,inverse(multiply(X,Y))))) ),[0],$fot(identity)]]) ).
cnf(refute_0_165,plain,
( multiply(multiply(X,Y),inverse(multiply(X,Y))) != multiply(X,multiply(Y,inverse(multiply(X,Y))))
| identity = multiply(X,multiply(Y,inverse(multiply(X,Y)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),inverse(multiply(X,Y))),identity) )],[refute_0_163,refute_0_164]) ).
cnf(refute_0_166,plain,
identity = multiply(X,multiply(Y,inverse(multiply(X,Y)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),inverse(multiply(X,Y))),multiply(X,multiply(Y,inverse(multiply(X,Y))))) )],[refute_0_160,refute_0_165]) ).
cnf(refute_0_167,plain,
identity = multiply(X_10,multiply(X_57,inverse(multiply(X_10,X_57)))),
inference(subst,[],[refute_0_166:[bind(X,$fot(X_10)),bind(Y,$fot(X_57))]]) ).
cnf(refute_0_168,plain,
( identity != multiply(X_10,multiply(X_57,inverse(multiply(X_10,X_57))))
| multiply(X_10,multiply(X_57,inverse(multiply(X_10,X_57)))) = identity ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(identity)),bind(Y0,$fot(multiply(X_10,multiply(X_57,inverse(multiply(X_10,X_57))))))]]) ).
cnf(refute_0_169,plain,
multiply(X_10,multiply(X_57,inverse(multiply(X_10,X_57)))) = identity,
inference(resolve,[$cnf( $equal(identity,multiply(X_10,multiply(X_57,inverse(multiply(X_10,X_57))))) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
( multiply(X_10,multiply(X_57,inverse(multiply(X_10,X_57)))) != identity
| multiply(X_57,inverse(multiply(X_10,X_57))) != multiply(inverse(X_10),multiply(X_10,multiply(X_57,inverse(multiply(X_10,X_57)))))
| multiply(X_57,inverse(multiply(X_10,X_57))) = multiply(inverse(X_10),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_57,inverse(multiply(X_10,X_57))),multiply(inverse(X_10),multiply(X_10,multiply(X_57,inverse(multiply(X_10,X_57)))))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_171,plain,
( multiply(X_57,inverse(multiply(X_10,X_57))) != multiply(inverse(X_10),multiply(X_10,multiply(X_57,inverse(multiply(X_10,X_57)))))
| multiply(X_57,inverse(multiply(X_10,X_57))) = multiply(inverse(X_10),identity) ),
inference(resolve,[$cnf( $equal(multiply(X_10,multiply(X_57,inverse(multiply(X_10,X_57)))),identity) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
multiply(X_57,inverse(multiply(X_10,X_57))) = multiply(inverse(X_10),identity),
inference(resolve,[$cnf( $equal(multiply(X_57,inverse(multiply(X_10,X_57))),multiply(inverse(X_10),multiply(X_10,multiply(X_57,inverse(multiply(X_10,X_57)))))) )],[refute_0_159,refute_0_171]) ).
cnf(refute_0_173,plain,
multiply(inverse(X_10),identity) = inverse(X_10),
inference(subst,[],[refute_0_100:[bind(X_16,$fot(inverse(X_10)))]]) ).
cnf(refute_0_174,plain,
( multiply(X_57,inverse(multiply(X_10,X_57))) != multiply(inverse(X_10),identity)
| multiply(inverse(X_10),identity) != inverse(X_10)
| multiply(X_57,inverse(multiply(X_10,X_57))) = inverse(X_10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_57,inverse(multiply(X_10,X_57))),inverse(X_10)) ),[0],$fot(multiply(inverse(X_10),identity))]]) ).
cnf(refute_0_175,plain,
( multiply(X_57,inverse(multiply(X_10,X_57))) != multiply(inverse(X_10),identity)
| multiply(X_57,inverse(multiply(X_10,X_57))) = inverse(X_10) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),identity),inverse(X_10)) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
multiply(X_57,inverse(multiply(X_10,X_57))) = inverse(X_10),
inference(resolve,[$cnf( $equal(multiply(X_57,inverse(multiply(X_10,X_57))),multiply(inverse(X_10),identity)) )],[refute_0_172,refute_0_175]) ).
cnf(refute_0_177,plain,
multiply(inverse(X),inverse(multiply(X_58,inverse(X)))) = inverse(X_58),
inference(subst,[],[refute_0_176:[bind(X_10,$fot(X_58)),bind(X_57,$fot(inverse(X)))]]) ).
cnf(refute_0_178,plain,
( multiply(inverse(X),inverse(multiply(X_58,inverse(X)))) != inverse(X_58)
| inverse(multiply(X_58,inverse(X))) != multiply(X,multiply(inverse(X),inverse(multiply(X_58,inverse(X)))))
| inverse(multiply(X_58,inverse(X))) = multiply(X,inverse(X_58)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_58,inverse(X))),multiply(X,multiply(inverse(X),inverse(multiply(X_58,inverse(X)))))) ),[1,1],$fot(inverse(X_58))]]) ).
cnf(refute_0_179,plain,
( inverse(multiply(X_58,inverse(X))) != multiply(X,multiply(inverse(X),inverse(multiply(X_58,inverse(X)))))
| inverse(multiply(X_58,inverse(X))) = multiply(X,inverse(X_58)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X),inverse(multiply(X_58,inverse(X)))),inverse(X_58)) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
inverse(multiply(X_58,inverse(X))) = multiply(X,inverse(X_58)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_58,inverse(X))),multiply(X,multiply(inverse(X),inverse(multiply(X_58,inverse(X)))))) )],[refute_0_158,refute_0_179]) ).
cnf(refute_0_181,plain,
inverse(multiply(inverse(X),inverse(Y))) = multiply(Y,inverse(inverse(X))),
inference(subst,[],[refute_0_180:[bind(X,$fot(Y)),bind(X_58,$fot(inverse(X)))]]) ).
cnf(refute_0_182,plain,
( multiply(Y,inverse(inverse(X))) != multiply(Y,X)
| inverse(multiply(inverse(X),inverse(Y))) != multiply(Y,inverse(inverse(X)))
| inverse(multiply(inverse(X),inverse(Y))) = multiply(Y,X) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(inverse(X),inverse(Y))))),bind(Y0,$fot(multiply(Y,inverse(inverse(X))))),bind(Z0,$fot(multiply(Y,X)))]]) ).
cnf(refute_0_183,plain,
( multiply(Y,inverse(inverse(X))) != multiply(Y,X)
| inverse(multiply(inverse(X),inverse(Y))) = multiply(Y,X) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X),inverse(Y))),multiply(Y,inverse(inverse(X)))) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
inverse(multiply(inverse(X),inverse(Y))) = multiply(Y,X),
inference(resolve,[$cnf( $equal(multiply(Y,inverse(inverse(X))),multiply(Y,X)) )],[refute_0_157,refute_0_183]) ).
cnf(refute_0_185,plain,
multiply(inverse(multiply(inverse(X),inverse(Y))),commutator(X,Y)) = multiply(inverse(multiply(inverse(X),inverse(Y))),commutator(X,Y)),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(inverse(X),inverse(Y))),commutator(X,Y)))]]) ).
cnf(refute_0_186,plain,
( multiply(inverse(multiply(inverse(X),inverse(Y))),commutator(X,Y)) != multiply(inverse(multiply(inverse(X),inverse(Y))),commutator(X,Y))
| inverse(multiply(inverse(X),inverse(Y))) != multiply(Y,X)
| multiply(inverse(multiply(inverse(X),inverse(Y))),commutator(X,Y)) = multiply(multiply(Y,X),commutator(X,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X),inverse(Y))),commutator(X,Y)),multiply(inverse(multiply(inverse(X),inverse(Y))),commutator(X,Y))) ),[1,0],$fot(multiply(Y,X))]]) ).
cnf(refute_0_187,plain,
( inverse(multiply(inverse(X),inverse(Y))) != multiply(Y,X)
| multiply(inverse(multiply(inverse(X),inverse(Y))),commutator(X,Y)) = multiply(multiply(Y,X),commutator(X,Y)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X),inverse(Y))),commutator(X,Y)),multiply(inverse(multiply(inverse(X),inverse(Y))),commutator(X,Y))) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
multiply(inverse(multiply(inverse(X),inverse(Y))),commutator(X,Y)) = multiply(multiply(Y,X),commutator(X,Y)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X),inverse(Y))),multiply(Y,X)) )],[refute_0_184,refute_0_187]) ).
cnf(refute_0_189,plain,
( multiply(multiply(Y,X),commutator(X,Y)) != multiply(Y,multiply(X,commutator(X,Y)))
| multiply(inverse(multiply(inverse(X),inverse(Y))),commutator(X,Y)) != multiply(multiply(Y,X),commutator(X,Y))
| multiply(inverse(multiply(inverse(X),inverse(Y))),commutator(X,Y)) = multiply(Y,multiply(X,commutator(X,Y))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(inverse(X),inverse(Y))),commutator(X,Y)))),bind(Y0,$fot(multiply(multiply(Y,X),commutator(X,Y)))),bind(Z0,$fot(multiply(Y,multiply(X,commutator(X,Y)))))]]) ).
cnf(refute_0_190,plain,
( multiply(multiply(Y,X),commutator(X,Y)) != multiply(Y,multiply(X,commutator(X,Y)))
| multiply(inverse(multiply(inverse(X),inverse(Y))),commutator(X,Y)) = multiply(Y,multiply(X,commutator(X,Y))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X),inverse(Y))),commutator(X,Y)),multiply(multiply(Y,X),commutator(X,Y))) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
multiply(inverse(multiply(inverse(X),inverse(Y))),commutator(X,Y)) = multiply(Y,multiply(X,commutator(X,Y))),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,X),commutator(X,Y)),multiply(Y,multiply(X,commutator(X,Y)))) )],[refute_0_23,refute_0_190]) ).
cnf(refute_0_192,plain,
( multiply(X,Y) != multiply(inverse(multiply(inverse(X),inverse(Y))),commutator(X,Y))
| multiply(inverse(multiply(inverse(X),inverse(Y))),commutator(X,Y)) != multiply(Y,multiply(X,commutator(X,Y)))
| multiply(X,Y) = multiply(Y,multiply(X,commutator(X,Y))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,Y),multiply(Y,multiply(X,commutator(X,Y)))) ),[0],$fot(multiply(inverse(multiply(inverse(X),inverse(Y))),commutator(X,Y)))]]) ).
cnf(refute_0_193,plain,
( multiply(X,Y) != multiply(inverse(multiply(inverse(X),inverse(Y))),commutator(X,Y))
| multiply(X,Y) = multiply(Y,multiply(X,commutator(X,Y))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X),inverse(Y))),commutator(X,Y)),multiply(Y,multiply(X,commutator(X,Y)))) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
multiply(X,Y) = multiply(Y,multiply(X,commutator(X,Y))),
inference(resolve,[$cnf( $equal(multiply(X,Y),multiply(inverse(multiply(inverse(X),inverse(Y))),commutator(X,Y))) )],[refute_0_22,refute_0_193]) ).
cnf(refute_0_195,plain,
multiply(X,commutator(X_539,X_541)) = multiply(commutator(X_539,X_541),multiply(X,commutator(X,commutator(X_539,X_541)))),
inference(subst,[],[refute_0_194:[bind(Y,$fot(commutator(X_539,X_541)))]]) ).
cnf(refute_0_196,plain,
multiply(inverse(multiply(X_58,X_10)),inverse(multiply(X_10,inverse(multiply(X_58,X_10))))) = inverse(X_10),
inference(subst,[],[refute_0_176:[bind(X_57,$fot(inverse(multiply(X_58,X_10))))]]) ).
cnf(refute_0_197,plain,
multiply(X_10,inverse(multiply(X_58,X_10))) = inverse(X_58),
inference(subst,[],[refute_0_176:[bind(X_10,$fot(X_58)),bind(X_57,$fot(X_10))]]) ).
cnf(refute_0_198,plain,
( multiply(X_10,inverse(multiply(X_58,X_10))) != inverse(X_58)
| multiply(inverse(multiply(X_58,X_10)),inverse(multiply(X_10,inverse(multiply(X_58,X_10))))) != inverse(X_10)
| multiply(inverse(multiply(X_58,X_10)),inverse(inverse(X_58))) = inverse(X_10) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_58,X_10)),inverse(multiply(X_10,inverse(multiply(X_58,X_10))))),inverse(X_10)) ),[0,1,0],$fot(inverse(X_58))]]) ).
cnf(refute_0_199,plain,
( multiply(inverse(multiply(X_58,X_10)),inverse(multiply(X_10,inverse(multiply(X_58,X_10))))) != inverse(X_10)
| multiply(inverse(multiply(X_58,X_10)),inverse(inverse(X_58))) = inverse(X_10) ),
inference(resolve,[$cnf( $equal(multiply(X_10,inverse(multiply(X_58,X_10))),inverse(X_58)) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
multiply(inverse(multiply(X_58,X_10)),inverse(inverse(X_58))) = inverse(X_10),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_58,X_10)),inverse(multiply(X_10,inverse(multiply(X_58,X_10))))),inverse(X_10)) )],[refute_0_196,refute_0_199]) ).
cnf(refute_0_201,plain,
inverse(inverse(X_58)) = X_58,
inference(subst,[],[refute_0_152:[bind(X_27,$fot(X_58))]]) ).
cnf(refute_0_202,plain,
multiply(inverse(multiply(X_58,X_10)),inverse(inverse(X_58))) = multiply(inverse(multiply(X_58,X_10)),inverse(inverse(X_58))),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_58,X_10)),inverse(inverse(X_58))))]]) ).
cnf(refute_0_203,plain,
( multiply(inverse(multiply(X_58,X_10)),inverse(inverse(X_58))) != multiply(inverse(multiply(X_58,X_10)),inverse(inverse(X_58)))
| inverse(inverse(X_58)) != X_58
| multiply(inverse(multiply(X_58,X_10)),inverse(inverse(X_58))) = multiply(inverse(multiply(X_58,X_10)),X_58) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_58,X_10)),inverse(inverse(X_58))),multiply(inverse(multiply(X_58,X_10)),inverse(inverse(X_58)))) ),[1,1],$fot(X_58)]]) ).
cnf(refute_0_204,plain,
( inverse(inverse(X_58)) != X_58
| multiply(inverse(multiply(X_58,X_10)),inverse(inverse(X_58))) = multiply(inverse(multiply(X_58,X_10)),X_58) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_58,X_10)),inverse(inverse(X_58))),multiply(inverse(multiply(X_58,X_10)),inverse(inverse(X_58)))) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
multiply(inverse(multiply(X_58,X_10)),inverse(inverse(X_58))) = multiply(inverse(multiply(X_58,X_10)),X_58),
inference(resolve,[$cnf( $equal(inverse(inverse(X_58)),X_58) )],[refute_0_201,refute_0_204]) ).
cnf(refute_0_206,plain,
( multiply(inverse(multiply(X_58,X_10)),inverse(inverse(X_58))) != multiply(inverse(multiply(X_58,X_10)),X_58)
| multiply(inverse(multiply(X_58,X_10)),inverse(inverse(X_58))) != inverse(X_10)
| multiply(inverse(multiply(X_58,X_10)),X_58) = inverse(X_10) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_58,X_10)),inverse(inverse(X_58))),inverse(X_10)) ),[0],$fot(multiply(inverse(multiply(X_58,X_10)),X_58))]]) ).
cnf(refute_0_207,plain,
( multiply(inverse(multiply(X_58,X_10)),inverse(inverse(X_58))) != inverse(X_10)
| multiply(inverse(multiply(X_58,X_10)),X_58) = inverse(X_10) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_58,X_10)),inverse(inverse(X_58))),multiply(inverse(multiply(X_58,X_10)),X_58)) )],[refute_0_205,refute_0_206]) ).
cnf(refute_0_208,plain,
multiply(inverse(multiply(X_58,X_10)),X_58) = inverse(X_10),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_58,X_10)),inverse(inverse(X_58))),inverse(X_10)) )],[refute_0_200,refute_0_207]) ).
cnf(refute_0_209,plain,
multiply(inverse(multiply(X_58,commutator(X_391,commutator(X_392,X_58)))),X_58) = inverse(commutator(X_391,commutator(X_392,X_58))),
inference(subst,[],[refute_0_208:[bind(X_10,$fot(commutator(X_391,commutator(X_392,X_58))))]]) ).
cnf(refute_0_210,plain,
multiply(multiply(inverse(X),multiply(inverse(Y),multiply(X,Y))),X_11) = multiply(inverse(X),multiply(multiply(inverse(Y),multiply(X,Y)),X_11)),
inference(subst,[],[associativity:[bind(X,$fot(inverse(X))),bind(Y,$fot(multiply(inverse(Y),multiply(X,Y)))),bind(Z,$fot(X_11))]]) ).
cnf(refute_0_211,plain,
( multiply(multiply(inverse(X),multiply(inverse(Y),multiply(X,Y))),X_11) != multiply(inverse(X),multiply(multiply(inverse(Y),multiply(X,Y)),X_11))
| multiply(inverse(X),multiply(inverse(Y),multiply(X,Y))) != commutator(X,Y)
| multiply(commutator(X,Y),X_11) = multiply(inverse(X),multiply(multiply(inverse(Y),multiply(X,Y)),X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X),multiply(inverse(Y),multiply(X,Y))),X_11),multiply(inverse(X),multiply(multiply(inverse(Y),multiply(X,Y)),X_11))) ),[0,0],$fot(commutator(X,Y))]]) ).
cnf(refute_0_212,plain,
( multiply(multiply(inverse(X),multiply(inverse(Y),multiply(X,Y))),X_11) != multiply(inverse(X),multiply(multiply(inverse(Y),multiply(X,Y)),X_11))
| multiply(commutator(X,Y),X_11) = multiply(inverse(X),multiply(multiply(inverse(Y),multiply(X,Y)),X_11)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X),multiply(inverse(Y),multiply(X,Y))),commutator(X,Y)) )],[refute_0_19,refute_0_211]) ).
cnf(refute_0_213,plain,
multiply(commutator(X,Y),X_11) = multiply(inverse(X),multiply(multiply(inverse(Y),multiply(X,Y)),X_11)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X),multiply(inverse(Y),multiply(X,Y))),X_11),multiply(inverse(X),multiply(multiply(inverse(Y),multiply(X,Y)),X_11))) )],[refute_0_210,refute_0_212]) ).
cnf(refute_0_214,plain,
multiply(multiply(X,Y),X_11) = multiply(X,multiply(Y,X_11)),
inference(subst,[],[associativity:[bind(Z,$fot(X_11))]]) ).
cnf(refute_0_215,plain,
multiply(inverse(Y),multiply(multiply(X,Y),X_11)) = multiply(inverse(Y),multiply(multiply(X,Y),X_11)),
introduced(tautology,[refl,[$fot(multiply(inverse(Y),multiply(multiply(X,Y),X_11)))]]) ).
cnf(refute_0_216,plain,
( multiply(multiply(X,Y),X_11) != multiply(X,multiply(Y,X_11))
| multiply(inverse(Y),multiply(multiply(X,Y),X_11)) != multiply(inverse(Y),multiply(multiply(X,Y),X_11))
| multiply(inverse(Y),multiply(multiply(X,Y),X_11)) = multiply(inverse(Y),multiply(X,multiply(Y,X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(Y),multiply(multiply(X,Y),X_11)),multiply(inverse(Y),multiply(multiply(X,Y),X_11))) ),[1,1],$fot(multiply(X,multiply(Y,X_11)))]]) ).
cnf(refute_0_217,plain,
( multiply(multiply(X,Y),X_11) != multiply(X,multiply(Y,X_11))
| multiply(inverse(Y),multiply(multiply(X,Y),X_11)) = multiply(inverse(Y),multiply(X,multiply(Y,X_11))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),multiply(multiply(X,Y),X_11)),multiply(inverse(Y),multiply(multiply(X,Y),X_11))) )],[refute_0_215,refute_0_216]) ).
cnf(refute_0_218,plain,
multiply(inverse(Y),multiply(multiply(X,Y),X_11)) = multiply(inverse(Y),multiply(X,multiply(Y,X_11))),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),X_11),multiply(X,multiply(Y,X_11))) )],[refute_0_214,refute_0_217]) ).
cnf(refute_0_219,plain,
multiply(multiply(inverse(Y),multiply(X,Y)),X_11) = multiply(inverse(Y),multiply(multiply(X,Y),X_11)),
inference(subst,[],[associativity:[bind(X,$fot(inverse(Y))),bind(Y,$fot(multiply(X,Y))),bind(Z,$fot(X_11))]]) ).
cnf(refute_0_220,plain,
( multiply(multiply(inverse(Y),multiply(X,Y)),X_11) != multiply(inverse(Y),multiply(multiply(X,Y),X_11))
| multiply(inverse(Y),multiply(multiply(X,Y),X_11)) != multiply(inverse(Y),multiply(X,multiply(Y,X_11)))
| multiply(multiply(inverse(Y),multiply(X,Y)),X_11) = multiply(inverse(Y),multiply(X,multiply(Y,X_11))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(inverse(Y),multiply(X,Y)),X_11))),bind(Y0,$fot(multiply(inverse(Y),multiply(multiply(X,Y),X_11)))),bind(Z0,$fot(multiply(inverse(Y),multiply(X,multiply(Y,X_11)))))]]) ).
cnf(refute_0_221,plain,
( multiply(inverse(Y),multiply(multiply(X,Y),X_11)) != multiply(inverse(Y),multiply(X,multiply(Y,X_11)))
| multiply(multiply(inverse(Y),multiply(X,Y)),X_11) = multiply(inverse(Y),multiply(X,multiply(Y,X_11))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(Y),multiply(X,Y)),X_11),multiply(inverse(Y),multiply(multiply(X,Y),X_11))) )],[refute_0_219,refute_0_220]) ).
cnf(refute_0_222,plain,
multiply(multiply(inverse(Y),multiply(X,Y)),X_11) = multiply(inverse(Y),multiply(X,multiply(Y,X_11))),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),multiply(multiply(X,Y),X_11)),multiply(inverse(Y),multiply(X,multiply(Y,X_11)))) )],[refute_0_218,refute_0_221]) ).
cnf(refute_0_223,plain,
multiply(inverse(X),multiply(multiply(inverse(Y),multiply(X,Y)),X_11)) = multiply(inverse(X),multiply(multiply(inverse(Y),multiply(X,Y)),X_11)),
introduced(tautology,[refl,[$fot(multiply(inverse(X),multiply(multiply(inverse(Y),multiply(X,Y)),X_11)))]]) ).
cnf(refute_0_224,plain,
( multiply(multiply(inverse(Y),multiply(X,Y)),X_11) != multiply(inverse(Y),multiply(X,multiply(Y,X_11)))
| multiply(inverse(X),multiply(multiply(inverse(Y),multiply(X,Y)),X_11)) != multiply(inverse(X),multiply(multiply(inverse(Y),multiply(X,Y)),X_11))
| multiply(inverse(X),multiply(multiply(inverse(Y),multiply(X,Y)),X_11)) = multiply(inverse(X),multiply(inverse(Y),multiply(X,multiply(Y,X_11)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X),multiply(multiply(inverse(Y),multiply(X,Y)),X_11)),multiply(inverse(X),multiply(multiply(inverse(Y),multiply(X,Y)),X_11))) ),[1,1],$fot(multiply(inverse(Y),multiply(X,multiply(Y,X_11))))]]) ).
cnf(refute_0_225,plain,
( multiply(multiply(inverse(Y),multiply(X,Y)),X_11) != multiply(inverse(Y),multiply(X,multiply(Y,X_11)))
| multiply(inverse(X),multiply(multiply(inverse(Y),multiply(X,Y)),X_11)) = multiply(inverse(X),multiply(inverse(Y),multiply(X,multiply(Y,X_11)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X),multiply(multiply(inverse(Y),multiply(X,Y)),X_11)),multiply(inverse(X),multiply(multiply(inverse(Y),multiply(X,Y)),X_11))) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
multiply(inverse(X),multiply(multiply(inverse(Y),multiply(X,Y)),X_11)) = multiply(inverse(X),multiply(inverse(Y),multiply(X,multiply(Y,X_11)))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(Y),multiply(X,Y)),X_11),multiply(inverse(Y),multiply(X,multiply(Y,X_11)))) )],[refute_0_222,refute_0_225]) ).
cnf(refute_0_227,plain,
( multiply(commutator(X,Y),X_11) != multiply(inverse(X),multiply(multiply(inverse(Y),multiply(X,Y)),X_11))
| multiply(inverse(X),multiply(multiply(inverse(Y),multiply(X,Y)),X_11)) != multiply(inverse(X),multiply(inverse(Y),multiply(X,multiply(Y,X_11))))
| multiply(commutator(X,Y),X_11) = multiply(inverse(X),multiply(inverse(Y),multiply(X,multiply(Y,X_11)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(commutator(X,Y),X_11),multiply(inverse(X),multiply(inverse(Y),multiply(X,multiply(Y,X_11))))) ),[0],$fot(multiply(inverse(X),multiply(multiply(inverse(Y),multiply(X,Y)),X_11)))]]) ).
cnf(refute_0_228,plain,
( multiply(commutator(X,Y),X_11) != multiply(inverse(X),multiply(multiply(inverse(Y),multiply(X,Y)),X_11))
| multiply(commutator(X,Y),X_11) = multiply(inverse(X),multiply(inverse(Y),multiply(X,multiply(Y,X_11)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X),multiply(multiply(inverse(Y),multiply(X,Y)),X_11)),multiply(inverse(X),multiply(inverse(Y),multiply(X,multiply(Y,X_11))))) )],[refute_0_226,refute_0_227]) ).
cnf(refute_0_229,plain,
multiply(commutator(X,Y),X_11) = multiply(inverse(X),multiply(inverse(Y),multiply(X,multiply(Y,X_11)))),
inference(resolve,[$cnf( $equal(multiply(commutator(X,Y),X_11),multiply(inverse(X),multiply(multiply(inverse(Y),multiply(X,Y)),X_11))) )],[refute_0_213,refute_0_228]) ).
cnf(refute_0_230,plain,
multiply(multiply(inverse(X_62),inverse(X_63)),Z) = multiply(inverse(X_62),multiply(inverse(X_63),Z)),
inference(subst,[],[associativity:[bind(X,$fot(inverse(X_62))),bind(Y,$fot(inverse(X_63)))]]) ).
cnf(refute_0_231,plain,
inverse(multiply(X_58,X_10)) = multiply(inverse(X_10),multiply(X_10,inverse(multiply(X_58,X_10)))),
inference(subst,[],[refute_0_8:[bind(X_11,$fot(inverse(multiply(X_58,X_10))))]]) ).
cnf(refute_0_232,plain,
( multiply(X_10,inverse(multiply(X_58,X_10))) != inverse(X_58)
| inverse(multiply(X_58,X_10)) != multiply(inverse(X_10),multiply(X_10,inverse(multiply(X_58,X_10))))
| inverse(multiply(X_58,X_10)) = multiply(inverse(X_10),inverse(X_58)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_58,X_10)),multiply(inverse(X_10),multiply(X_10,inverse(multiply(X_58,X_10))))) ),[1,1],$fot(inverse(X_58))]]) ).
cnf(refute_0_233,plain,
( inverse(multiply(X_58,X_10)) != multiply(inverse(X_10),multiply(X_10,inverse(multiply(X_58,X_10))))
| inverse(multiply(X_58,X_10)) = multiply(inverse(X_10),inverse(X_58)) ),
inference(resolve,[$cnf( $equal(multiply(X_10,inverse(multiply(X_58,X_10))),inverse(X_58)) )],[refute_0_197,refute_0_232]) ).
cnf(refute_0_234,plain,
inverse(multiply(X_58,X_10)) = multiply(inverse(X_10),inverse(X_58)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_58,X_10)),multiply(inverse(X_10),multiply(X_10,inverse(multiply(X_58,X_10))))) )],[refute_0_231,refute_0_233]) ).
cnf(refute_0_235,plain,
inverse(multiply(X_63,X_62)) = multiply(inverse(X_62),inverse(X_63)),
inference(subst,[],[refute_0_234:[bind(X_10,$fot(X_62)),bind(X_58,$fot(X_63))]]) ).
cnf(refute_0_236,plain,
( inverse(multiply(X_63,X_62)) != multiply(inverse(X_62),inverse(X_63))
| multiply(inverse(X_62),inverse(X_63)) = inverse(multiply(X_63,X_62)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(inverse(multiply(X_63,X_62)))),bind(Y0,$fot(multiply(inverse(X_62),inverse(X_63))))]]) ).
cnf(refute_0_237,plain,
multiply(inverse(X_62),inverse(X_63)) = inverse(multiply(X_63,X_62)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_63,X_62)),multiply(inverse(X_62),inverse(X_63))) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
( multiply(multiply(inverse(X_62),inverse(X_63)),Z) != multiply(inverse(X_62),multiply(inverse(X_63),Z))
| multiply(inverse(X_62),inverse(X_63)) != inverse(multiply(X_63,X_62))
| multiply(inverse(multiply(X_63,X_62)),Z) = multiply(inverse(X_62),multiply(inverse(X_63),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_62),inverse(X_63)),Z),multiply(inverse(X_62),multiply(inverse(X_63),Z))) ),[0,0],$fot(inverse(multiply(X_63,X_62)))]]) ).
cnf(refute_0_239,plain,
( multiply(multiply(inverse(X_62),inverse(X_63)),Z) != multiply(inverse(X_62),multiply(inverse(X_63),Z))
| multiply(inverse(multiply(X_63,X_62)),Z) = multiply(inverse(X_62),multiply(inverse(X_63),Z)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_62),inverse(X_63)),inverse(multiply(X_63,X_62))) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
multiply(inverse(multiply(X_63,X_62)),Z) = multiply(inverse(X_62),multiply(inverse(X_63),Z)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_62),inverse(X_63)),Z),multiply(inverse(X_62),multiply(inverse(X_63),Z))) )],[refute_0_230,refute_0_239]) ).
cnf(refute_0_241,plain,
( multiply(inverse(multiply(X_63,X_62)),Z) != multiply(inverse(X_62),multiply(inverse(X_63),Z))
| multiply(inverse(X_62),multiply(inverse(X_63),Z)) = multiply(inverse(multiply(X_63,X_62)),Z) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(inverse(multiply(X_63,X_62)),Z))),bind(Y0,$fot(multiply(inverse(X_62),multiply(inverse(X_63),Z))))]]) ).
cnf(refute_0_242,plain,
multiply(inverse(X_62),multiply(inverse(X_63),Z)) = multiply(inverse(multiply(X_63,X_62)),Z),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_63,X_62)),Z),multiply(inverse(X_62),multiply(inverse(X_63),Z))) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
multiply(inverse(X),multiply(inverse(Y),multiply(X,multiply(Y,X_11)))) = multiply(inverse(multiply(Y,X)),multiply(X,multiply(Y,X_11))),
inference(subst,[],[refute_0_242:[bind(Z,$fot(multiply(X,multiply(Y,X_11)))),bind(X_62,$fot(X)),bind(X_63,$fot(Y))]]) ).
cnf(refute_0_244,plain,
( multiply(commutator(X,Y),X_11) != multiply(inverse(X),multiply(inverse(Y),multiply(X,multiply(Y,X_11))))
| multiply(inverse(X),multiply(inverse(Y),multiply(X,multiply(Y,X_11)))) != multiply(inverse(multiply(Y,X)),multiply(X,multiply(Y,X_11)))
| multiply(commutator(X,Y),X_11) = multiply(inverse(multiply(Y,X)),multiply(X,multiply(Y,X_11))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(commutator(X,Y),X_11),multiply(inverse(multiply(Y,X)),multiply(X,multiply(Y,X_11)))) ),[0],$fot(multiply(inverse(X),multiply(inverse(Y),multiply(X,multiply(Y,X_11)))))]]) ).
cnf(refute_0_245,plain,
( multiply(commutator(X,Y),X_11) != multiply(inverse(X),multiply(inverse(Y),multiply(X,multiply(Y,X_11))))
| multiply(commutator(X,Y),X_11) = multiply(inverse(multiply(Y,X)),multiply(X,multiply(Y,X_11))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X),multiply(inverse(Y),multiply(X,multiply(Y,X_11)))),multiply(inverse(multiply(Y,X)),multiply(X,multiply(Y,X_11)))) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
multiply(commutator(X,Y),X_11) = multiply(inverse(multiply(Y,X)),multiply(X,multiply(Y,X_11))),
inference(resolve,[$cnf( $equal(multiply(commutator(X,Y),X_11),multiply(inverse(X),multiply(inverse(Y),multiply(X,multiply(Y,X_11))))) )],[refute_0_229,refute_0_245]) ).
cnf(refute_0_247,plain,
multiply(commutator(X_255,X_256),inverse(multiply(commutator(X_255,X_256),X_10))) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(commutator(X_255,X_256),X_10))))),
inference(subst,[],[refute_0_246:[bind(X,$fot(X_255)),bind(Y,$fot(X_256)),bind(X_11,$fot(inverse(multiply(commutator(X_255,X_256),X_10))))]]) ).
cnf(refute_0_248,plain,
multiply(inverse(Y),multiply(X_27,Y)) = multiply(X_27,multiply(inverse(X_27),multiply(inverse(Y),multiply(X_27,Y)))),
inference(subst,[],[refute_0_141:[bind(X,$fot(X_27)),bind(Z,$fot(multiply(inverse(Y),multiply(X_27,Y))))]]) ).
cnf(refute_0_249,plain,
commutator(X_27,Y) = multiply(inverse(X_27),multiply(inverse(Y),multiply(X_27,Y))),
inference(subst,[],[name:[bind(X,$fot(X_27))]]) ).
cnf(refute_0_250,plain,
( commutator(X_27,Y) != multiply(inverse(X_27),multiply(inverse(Y),multiply(X_27,Y)))
| multiply(inverse(X_27),multiply(inverse(Y),multiply(X_27,Y))) = commutator(X_27,Y) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_27,Y))),bind(Y0,$fot(multiply(inverse(X_27),multiply(inverse(Y),multiply(X_27,Y)))))]]) ).
cnf(refute_0_251,plain,
multiply(inverse(X_27),multiply(inverse(Y),multiply(X_27,Y))) = commutator(X_27,Y),
inference(resolve,[$cnf( $equal(commutator(X_27,Y),multiply(inverse(X_27),multiply(inverse(Y),multiply(X_27,Y)))) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
( multiply(inverse(Y),multiply(X_27,Y)) != multiply(X_27,multiply(inverse(X_27),multiply(inverse(Y),multiply(X_27,Y))))
| multiply(inverse(X_27),multiply(inverse(Y),multiply(X_27,Y))) != commutator(X_27,Y)
| multiply(inverse(Y),multiply(X_27,Y)) = multiply(X_27,commutator(X_27,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(Y),multiply(X_27,Y)),multiply(X_27,multiply(inverse(X_27),multiply(inverse(Y),multiply(X_27,Y))))) ),[1,1],$fot(commutator(X_27,Y))]]) ).
cnf(refute_0_253,plain,
( multiply(inverse(Y),multiply(X_27,Y)) != multiply(X_27,multiply(inverse(X_27),multiply(inverse(Y),multiply(X_27,Y))))
| multiply(inverse(Y),multiply(X_27,Y)) = multiply(X_27,commutator(X_27,Y)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_27),multiply(inverse(Y),multiply(X_27,Y))),commutator(X_27,Y)) )],[refute_0_251,refute_0_252]) ).
cnf(refute_0_254,plain,
multiply(inverse(Y),multiply(X_27,Y)) = multiply(X_27,commutator(X_27,Y)),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),multiply(X_27,Y)),multiply(X_27,multiply(inverse(X_27),multiply(inverse(Y),multiply(X_27,Y))))) )],[refute_0_248,refute_0_253]) ).
cnf(refute_0_255,plain,
multiply(inverse(inverse(X_58)),multiply(inverse(X_10),inverse(X_58))) = multiply(inverse(X_10),commutator(inverse(X_10),inverse(X_58))),
inference(subst,[],[refute_0_254:[bind(Y,$fot(inverse(X_58))),bind(X_27,$fot(inverse(X_10)))]]) ).
cnf(refute_0_256,plain,
( inverse(multiply(X_58,X_10)) != multiply(inverse(X_10),inverse(X_58))
| multiply(inverse(X_10),inverse(X_58)) = inverse(multiply(X_58,X_10)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(inverse(multiply(X_58,X_10)))),bind(Y0,$fot(multiply(inverse(X_10),inverse(X_58))))]]) ).
cnf(refute_0_257,plain,
multiply(inverse(X_10),inverse(X_58)) = inverse(multiply(X_58,X_10)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_58,X_10)),multiply(inverse(X_10),inverse(X_58))) )],[refute_0_234,refute_0_256]) ).
cnf(refute_0_258,plain,
( multiply(inverse(X_10),inverse(X_58)) != inverse(multiply(X_58,X_10))
| multiply(inverse(inverse(X_58)),multiply(inverse(X_10),inverse(X_58))) != multiply(inverse(X_10),commutator(inverse(X_10),inverse(X_58)))
| multiply(inverse(inverse(X_58)),inverse(multiply(X_58,X_10))) = multiply(inverse(X_10),commutator(inverse(X_10),inverse(X_58))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_58)),multiply(inverse(X_10),inverse(X_58))),multiply(inverse(X_10),commutator(inverse(X_10),inverse(X_58)))) ),[0,1],$fot(inverse(multiply(X_58,X_10)))]]) ).
cnf(refute_0_259,plain,
( multiply(inverse(inverse(X_58)),multiply(inverse(X_10),inverse(X_58))) != multiply(inverse(X_10),commutator(inverse(X_10),inverse(X_58)))
| multiply(inverse(inverse(X_58)),inverse(multiply(X_58,X_10))) = multiply(inverse(X_10),commutator(inverse(X_10),inverse(X_58))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),inverse(X_58)),inverse(multiply(X_58,X_10))) )],[refute_0_257,refute_0_258]) ).
cnf(refute_0_260,plain,
multiply(inverse(inverse(X_58)),inverse(multiply(X_58,X_10))) = multiply(inverse(X_10),commutator(inverse(X_10),inverse(X_58))),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_58)),multiply(inverse(X_10),inverse(X_58))),multiply(inverse(X_10),commutator(inverse(X_10),inverse(X_58)))) )],[refute_0_255,refute_0_259]) ).
cnf(refute_0_261,plain,
inverse(multiply(multiply(X_58,X_10),inverse(X_58))) = multiply(X_58,inverse(multiply(X_58,X_10))),
inference(subst,[],[refute_0_180:[bind(X,$fot(X_58)),bind(X_58,$fot(multiply(X_58,X_10)))]]) ).
cnf(refute_0_262,plain,
multiply(inverse(inverse(X_58)),inverse(multiply(X_58,X_10))) = inverse(multiply(multiply(X_58,X_10),inverse(X_58))),
inference(subst,[],[refute_0_257:[bind(X_10,$fot(inverse(X_58))),bind(X_58,$fot(multiply(X_58,X_10)))]]) ).
cnf(refute_0_263,plain,
( multiply(inverse(inverse(X_58)),inverse(multiply(X_58,X_10))) != inverse(multiply(multiply(X_58,X_10),inverse(X_58)))
| inverse(multiply(multiply(X_58,X_10),inverse(X_58))) != multiply(X_58,inverse(multiply(X_58,X_10)))
| multiply(inverse(inverse(X_58)),inverse(multiply(X_58,X_10))) = multiply(X_58,inverse(multiply(X_58,X_10))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(inverse(X_58)),inverse(multiply(X_58,X_10))))),bind(Y0,$fot(inverse(multiply(multiply(X_58,X_10),inverse(X_58))))),bind(Z0,$fot(multiply(X_58,inverse(multiply(X_58,X_10)))))]]) ).
cnf(refute_0_264,plain,
( inverse(multiply(multiply(X_58,X_10),inverse(X_58))) != multiply(X_58,inverse(multiply(X_58,X_10)))
| multiply(inverse(inverse(X_58)),inverse(multiply(X_58,X_10))) = multiply(X_58,inverse(multiply(X_58,X_10))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_58)),inverse(multiply(X_58,X_10))),inverse(multiply(multiply(X_58,X_10),inverse(X_58)))) )],[refute_0_262,refute_0_263]) ).
cnf(refute_0_265,plain,
multiply(inverse(inverse(X_58)),inverse(multiply(X_58,X_10))) = multiply(X_58,inverse(multiply(X_58,X_10))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_58,X_10),inverse(X_58))),multiply(X_58,inverse(multiply(X_58,X_10)))) )],[refute_0_261,refute_0_264]) ).
cnf(refute_0_266,plain,
( multiply(inverse(inverse(X_58)),inverse(multiply(X_58,X_10))) != multiply(X_58,inverse(multiply(X_58,X_10)))
| multiply(inverse(inverse(X_58)),inverse(multiply(X_58,X_10))) != multiply(inverse(X_10),commutator(inverse(X_10),inverse(X_58)))
| multiply(X_58,inverse(multiply(X_58,X_10))) = multiply(inverse(X_10),commutator(inverse(X_10),inverse(X_58))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_58)),inverse(multiply(X_58,X_10))),multiply(inverse(X_10),commutator(inverse(X_10),inverse(X_58)))) ),[0],$fot(multiply(X_58,inverse(multiply(X_58,X_10))))]]) ).
cnf(refute_0_267,plain,
( multiply(inverse(inverse(X_58)),inverse(multiply(X_58,X_10))) != multiply(inverse(X_10),commutator(inverse(X_10),inverse(X_58)))
| multiply(X_58,inverse(multiply(X_58,X_10))) = multiply(inverse(X_10),commutator(inverse(X_10),inverse(X_58))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_58)),inverse(multiply(X_58,X_10))),multiply(X_58,inverse(multiply(X_58,X_10)))) )],[refute_0_265,refute_0_266]) ).
cnf(refute_0_268,plain,
multiply(X,inverse(X_51)) = multiply(inverse(multiply(inverse(X),X_51)),multiply(inverse(X),multiply(X_51,multiply(X,inverse(X_51))))),
inference(subst,[],[refute_0_13:[bind(X,$fot(inverse(X))),bind(Y,$fot(X_51)),bind(X_16,$fot(multiply(X,inverse(X_51))))]]) ).
cnf(refute_0_269,plain,
commutator(X,inverse(X_29)) = multiply(inverse(X),multiply(inverse(inverse(X_29)),multiply(X,inverse(X_29)))),
inference(subst,[],[name:[bind(Y,$fot(inverse(X_29)))]]) ).
cnf(refute_0_270,plain,
inverse(inverse(X_29)) = X_29,
inference(subst,[],[refute_0_152:[bind(X_27,$fot(X_29))]]) ).
cnf(refute_0_271,plain,
( commutator(X,inverse(X_29)) != multiply(inverse(X),multiply(inverse(inverse(X_29)),multiply(X,inverse(X_29))))
| inverse(inverse(X_29)) != X_29
| commutator(X,inverse(X_29)) = multiply(inverse(X),multiply(X_29,multiply(X,inverse(X_29)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X,inverse(X_29)),multiply(inverse(X),multiply(inverse(inverse(X_29)),multiply(X,inverse(X_29))))) ),[1,1,0],$fot(X_29)]]) ).
cnf(refute_0_272,plain,
( commutator(X,inverse(X_29)) != multiply(inverse(X),multiply(inverse(inverse(X_29)),multiply(X,inverse(X_29))))
| commutator(X,inverse(X_29)) = multiply(inverse(X),multiply(X_29,multiply(X,inverse(X_29)))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_29)),X_29) )],[refute_0_270,refute_0_271]) ).
cnf(refute_0_273,plain,
commutator(X,inverse(X_29)) = multiply(inverse(X),multiply(X_29,multiply(X,inverse(X_29)))),
inference(resolve,[$cnf( $equal(commutator(X,inverse(X_29)),multiply(inverse(X),multiply(inverse(inverse(X_29)),multiply(X,inverse(X_29))))) )],[refute_0_269,refute_0_272]) ).
cnf(refute_0_274,plain,
commutator(X,inverse(X_51)) = multiply(inverse(X),multiply(X_51,multiply(X,inverse(X_51)))),
inference(subst,[],[refute_0_273:[bind(X_29,$fot(X_51))]]) ).
cnf(refute_0_275,plain,
( commutator(X,inverse(X_51)) != multiply(inverse(X),multiply(X_51,multiply(X,inverse(X_51))))
| multiply(inverse(X),multiply(X_51,multiply(X,inverse(X_51)))) = commutator(X,inverse(X_51)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X,inverse(X_51)))),bind(Y0,$fot(multiply(inverse(X),multiply(X_51,multiply(X,inverse(X_51))))))]]) ).
cnf(refute_0_276,plain,
multiply(inverse(X),multiply(X_51,multiply(X,inverse(X_51)))) = commutator(X,inverse(X_51)),
inference(resolve,[$cnf( $equal(commutator(X,inverse(X_51)),multiply(inverse(X),multiply(X_51,multiply(X,inverse(X_51))))) )],[refute_0_274,refute_0_275]) ).
cnf(refute_0_277,plain,
( multiply(X,inverse(X_51)) != multiply(inverse(multiply(inverse(X),X_51)),multiply(inverse(X),multiply(X_51,multiply(X,inverse(X_51)))))
| multiply(inverse(X),multiply(X_51,multiply(X,inverse(X_51)))) != commutator(X,inverse(X_51))
| multiply(X,inverse(X_51)) = multiply(inverse(multiply(inverse(X),X_51)),commutator(X,inverse(X_51))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,inverse(X_51)),multiply(inverse(multiply(inverse(X),X_51)),multiply(inverse(X),multiply(X_51,multiply(X,inverse(X_51)))))) ),[1,1],$fot(commutator(X,inverse(X_51)))]]) ).
cnf(refute_0_278,plain,
( multiply(X,inverse(X_51)) != multiply(inverse(multiply(inverse(X),X_51)),multiply(inverse(X),multiply(X_51,multiply(X,inverse(X_51)))))
| multiply(X,inverse(X_51)) = multiply(inverse(multiply(inverse(X),X_51)),commutator(X,inverse(X_51))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X),multiply(X_51,multiply(X,inverse(X_51)))),commutator(X,inverse(X_51))) )],[refute_0_276,refute_0_277]) ).
cnf(refute_0_279,plain,
multiply(X,inverse(X_51)) = multiply(inverse(multiply(inverse(X),X_51)),commutator(X,inverse(X_51))),
inference(resolve,[$cnf( $equal(multiply(X,inverse(X_51)),multiply(inverse(multiply(inverse(X),X_51)),multiply(inverse(X),multiply(X_51,multiply(X,inverse(X_51)))))) )],[refute_0_268,refute_0_278]) ).
cnf(refute_0_280,plain,
inverse(multiply(commutator(X_66,X_65),X_10)) = multiply(inverse(X_10),inverse(commutator(X_66,X_65))),
inference(subst,[],[refute_0_234:[bind(X_58,$fot(commutator(X_66,X_65)))]]) ).
cnf(refute_0_281,plain,
inverse(multiply(inverse(X),multiply(inverse(Y),multiply(X,Y)))) = multiply(inverse(multiply(inverse(Y),multiply(X,Y))),inverse(inverse(X))),
inference(subst,[],[refute_0_234:[bind(X_10,$fot(multiply(inverse(Y),multiply(X,Y)))),bind(X_58,$fot(inverse(X)))]]) ).
cnf(refute_0_282,plain,
( multiply(inverse(X),multiply(inverse(Y),multiply(X,Y))) != commutator(X,Y)
| inverse(multiply(inverse(X),multiply(inverse(Y),multiply(X,Y)))) != multiply(inverse(multiply(inverse(Y),multiply(X,Y))),inverse(inverse(X)))
| inverse(commutator(X,Y)) = multiply(inverse(multiply(inverse(Y),multiply(X,Y))),inverse(inverse(X))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X),multiply(inverse(Y),multiply(X,Y)))),multiply(inverse(multiply(inverse(Y),multiply(X,Y))),inverse(inverse(X)))) ),[0,0],$fot(commutator(X,Y))]]) ).
cnf(refute_0_283,plain,
( inverse(multiply(inverse(X),multiply(inverse(Y),multiply(X,Y)))) != multiply(inverse(multiply(inverse(Y),multiply(X,Y))),inverse(inverse(X)))
| inverse(commutator(X,Y)) = multiply(inverse(multiply(inverse(Y),multiply(X,Y))),inverse(inverse(X))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X),multiply(inverse(Y),multiply(X,Y))),commutator(X,Y)) )],[refute_0_19,refute_0_282]) ).
cnf(refute_0_284,plain,
inverse(commutator(X,Y)) = multiply(inverse(multiply(inverse(Y),multiply(X,Y))),inverse(inverse(X))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X),multiply(inverse(Y),multiply(X,Y)))),multiply(inverse(multiply(inverse(Y),multiply(X,Y))),inverse(inverse(X)))) )],[refute_0_281,refute_0_283]) ).
cnf(refute_0_285,plain,
multiply(multiply(inverse(multiply(X,Y)),Y),X) = multiply(inverse(multiply(X,Y)),multiply(Y,X)),
inference(subst,[],[associativity:[bind(X,$fot(inverse(multiply(X,Y)))),bind(Z,$fot(X))]]) ).
cnf(refute_0_286,plain,
multiply(inverse(multiply(X_61,multiply(inverse(X_61),Z))),X_61) = inverse(multiply(inverse(X_61),Z)),
inference(subst,[],[refute_0_208:[bind(X_10,$fot(multiply(inverse(X_61),Z))),bind(X_58,$fot(X_61))]]) ).
cnf(refute_0_287,plain,
Z = multiply(X_61,multiply(inverse(X_61),Z)),
inference(subst,[],[refute_0_141:[bind(X,$fot(X_61))]]) ).
cnf(refute_0_288,plain,
( Z != multiply(X_61,multiply(inverse(X_61),Z))
| multiply(X_61,multiply(inverse(X_61),Z)) = Z ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(Z)),bind(Y0,$fot(multiply(X_61,multiply(inverse(X_61),Z))))]]) ).
cnf(refute_0_289,plain,
multiply(X_61,multiply(inverse(X_61),Z)) = Z,
inference(resolve,[$cnf( $equal(Z,multiply(X_61,multiply(inverse(X_61),Z))) )],[refute_0_287,refute_0_288]) ).
cnf(refute_0_290,plain,
( multiply(X_61,multiply(inverse(X_61),Z)) != Z
| multiply(inverse(multiply(X_61,multiply(inverse(X_61),Z))),X_61) != inverse(multiply(inverse(X_61),Z))
| multiply(inverse(Z),X_61) = inverse(multiply(inverse(X_61),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_61,multiply(inverse(X_61),Z))),X_61),inverse(multiply(inverse(X_61),Z))) ),[0,0,0],$fot(Z)]]) ).
cnf(refute_0_291,plain,
( multiply(inverse(multiply(X_61,multiply(inverse(X_61),Z))),X_61) != inverse(multiply(inverse(X_61),Z))
| multiply(inverse(Z),X_61) = inverse(multiply(inverse(X_61),Z)) ),
inference(resolve,[$cnf( $equal(multiply(X_61,multiply(inverse(X_61),Z)),Z) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
multiply(inverse(Z),X_61) = inverse(multiply(inverse(X_61),Z)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_61,multiply(inverse(X_61),Z))),X_61),inverse(multiply(inverse(X_61),Z))) )],[refute_0_286,refute_0_291]) ).
cnf(refute_0_293,plain,
( multiply(inverse(Z),X_61) != inverse(multiply(inverse(X_61),Z))
| inverse(multiply(inverse(X_61),Z)) = multiply(inverse(Z),X_61) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(inverse(Z),X_61))),bind(Y0,$fot(inverse(multiply(inverse(X_61),Z))))]]) ).
cnf(refute_0_294,plain,
inverse(multiply(inverse(X_61),Z)) = multiply(inverse(Z),X_61),
inference(resolve,[$cnf( $equal(multiply(inverse(Z),X_61),inverse(multiply(inverse(X_61),Z))) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
inverse(multiply(inverse(Y),multiply(X,Y))) = multiply(inverse(multiply(X,Y)),Y),
inference(subst,[],[refute_0_294:[bind(Z,$fot(multiply(X,Y))),bind(X_61,$fot(Y))]]) ).
cnf(refute_0_296,plain,
multiply(inverse(multiply(inverse(Y),multiply(X,Y))),X) = multiply(inverse(multiply(inverse(Y),multiply(X,Y))),X),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(inverse(Y),multiply(X,Y))),X))]]) ).
cnf(refute_0_297,plain,
( multiply(inverse(multiply(inverse(Y),multiply(X,Y))),X) != multiply(inverse(multiply(inverse(Y),multiply(X,Y))),X)
| inverse(multiply(inverse(Y),multiply(X,Y))) != multiply(inverse(multiply(X,Y)),Y)
| multiply(inverse(multiply(inverse(Y),multiply(X,Y))),X) = multiply(multiply(inverse(multiply(X,Y)),Y),X) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(Y),multiply(X,Y))),X),multiply(inverse(multiply(inverse(Y),multiply(X,Y))),X)) ),[1,0],$fot(multiply(inverse(multiply(X,Y)),Y))]]) ).
cnf(refute_0_298,plain,
( inverse(multiply(inverse(Y),multiply(X,Y))) != multiply(inverse(multiply(X,Y)),Y)
| multiply(inverse(multiply(inverse(Y),multiply(X,Y))),X) = multiply(multiply(inverse(multiply(X,Y)),Y),X) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(Y),multiply(X,Y))),X),multiply(inverse(multiply(inverse(Y),multiply(X,Y))),X)) )],[refute_0_296,refute_0_297]) ).
cnf(refute_0_299,plain,
multiply(inverse(multiply(inverse(Y),multiply(X,Y))),X) = multiply(multiply(inverse(multiply(X,Y)),Y),X),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(Y),multiply(X,Y))),multiply(inverse(multiply(X,Y)),Y)) )],[refute_0_295,refute_0_298]) ).
cnf(refute_0_300,plain,
( multiply(multiply(inverse(multiply(X,Y)),Y),X) != multiply(inverse(multiply(X,Y)),multiply(Y,X))
| multiply(inverse(multiply(inverse(Y),multiply(X,Y))),X) != multiply(multiply(inverse(multiply(X,Y)),Y),X)
| multiply(inverse(multiply(inverse(Y),multiply(X,Y))),X) = multiply(inverse(multiply(X,Y)),multiply(Y,X)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(inverse(Y),multiply(X,Y))),X))),bind(Y0,$fot(multiply(multiply(inverse(multiply(X,Y)),Y),X))),bind(Z0,$fot(multiply(inverse(multiply(X,Y)),multiply(Y,X))))]]) ).
cnf(refute_0_301,plain,
( multiply(multiply(inverse(multiply(X,Y)),Y),X) != multiply(inverse(multiply(X,Y)),multiply(Y,X))
| multiply(inverse(multiply(inverse(Y),multiply(X,Y))),X) = multiply(inverse(multiply(X,Y)),multiply(Y,X)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(Y),multiply(X,Y))),X),multiply(multiply(inverse(multiply(X,Y)),Y),X)) )],[refute_0_299,refute_0_300]) ).
cnf(refute_0_302,plain,
multiply(inverse(multiply(inverse(Y),multiply(X,Y))),X) = multiply(inverse(multiply(X,Y)),multiply(Y,X)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(X,Y)),Y),X),multiply(inverse(multiply(X,Y)),multiply(Y,X))) )],[refute_0_285,refute_0_301]) ).
cnf(refute_0_303,plain,
inverse(multiply(inverse(X),multiply(inverse(Y),multiply(X,Y)))) = multiply(inverse(multiply(inverse(Y),multiply(X,Y))),X),
inference(subst,[],[refute_0_294:[bind(Z,$fot(multiply(inverse(Y),multiply(X,Y)))),bind(X_61,$fot(X))]]) ).
cnf(refute_0_304,plain,
multiply(inverse(multiply(inverse(Y),multiply(X,Y))),inverse(inverse(X))) = inverse(multiply(inverse(X),multiply(inverse(Y),multiply(X,Y)))),
inference(subst,[],[refute_0_257:[bind(X_10,$fot(multiply(inverse(Y),multiply(X,Y)))),bind(X_58,$fot(inverse(X)))]]) ).
cnf(refute_0_305,plain,
( multiply(inverse(multiply(inverse(Y),multiply(X,Y))),inverse(inverse(X))) != inverse(multiply(inverse(X),multiply(inverse(Y),multiply(X,Y))))
| inverse(multiply(inverse(X),multiply(inverse(Y),multiply(X,Y)))) != multiply(inverse(multiply(inverse(Y),multiply(X,Y))),X)
| multiply(inverse(multiply(inverse(Y),multiply(X,Y))),inverse(inverse(X))) = multiply(inverse(multiply(inverse(Y),multiply(X,Y))),X) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(inverse(Y),multiply(X,Y))),inverse(inverse(X))))),bind(Y0,$fot(inverse(multiply(inverse(X),multiply(inverse(Y),multiply(X,Y)))))),bind(Z0,$fot(multiply(inverse(multiply(inverse(Y),multiply(X,Y))),X)))]]) ).
cnf(refute_0_306,plain,
( inverse(multiply(inverse(X),multiply(inverse(Y),multiply(X,Y)))) != multiply(inverse(multiply(inverse(Y),multiply(X,Y))),X)
| multiply(inverse(multiply(inverse(Y),multiply(X,Y))),inverse(inverse(X))) = multiply(inverse(multiply(inverse(Y),multiply(X,Y))),X) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(Y),multiply(X,Y))),inverse(inverse(X))),inverse(multiply(inverse(X),multiply(inverse(Y),multiply(X,Y))))) )],[refute_0_304,refute_0_305]) ).
cnf(refute_0_307,plain,
multiply(inverse(multiply(inverse(Y),multiply(X,Y))),inverse(inverse(X))) = multiply(inverse(multiply(inverse(Y),multiply(X,Y))),X),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X),multiply(inverse(Y),multiply(X,Y)))),multiply(inverse(multiply(inverse(Y),multiply(X,Y))),X)) )],[refute_0_303,refute_0_306]) ).
cnf(refute_0_308,plain,
( multiply(inverse(multiply(inverse(Y),multiply(X,Y))),X) != multiply(inverse(multiply(X,Y)),multiply(Y,X))
| multiply(inverse(multiply(inverse(Y),multiply(X,Y))),inverse(inverse(X))) != multiply(inverse(multiply(inverse(Y),multiply(X,Y))),X)
| multiply(inverse(multiply(inverse(Y),multiply(X,Y))),inverse(inverse(X))) = multiply(inverse(multiply(X,Y)),multiply(Y,X)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(inverse(Y),multiply(X,Y))),inverse(inverse(X))))),bind(Y0,$fot(multiply(inverse(multiply(inverse(Y),multiply(X,Y))),X))),bind(Z0,$fot(multiply(inverse(multiply(X,Y)),multiply(Y,X))))]]) ).
cnf(refute_0_309,plain,
( multiply(inverse(multiply(inverse(Y),multiply(X,Y))),X) != multiply(inverse(multiply(X,Y)),multiply(Y,X))
| multiply(inverse(multiply(inverse(Y),multiply(X,Y))),inverse(inverse(X))) = multiply(inverse(multiply(X,Y)),multiply(Y,X)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(Y),multiply(X,Y))),inverse(inverse(X))),multiply(inverse(multiply(inverse(Y),multiply(X,Y))),X)) )],[refute_0_307,refute_0_308]) ).
cnf(refute_0_310,plain,
multiply(inverse(multiply(inverse(Y),multiply(X,Y))),inverse(inverse(X))) = multiply(inverse(multiply(X,Y)),multiply(Y,X)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(Y),multiply(X,Y))),X),multiply(inverse(multiply(X,Y)),multiply(Y,X))) )],[refute_0_302,refute_0_309]) ).
cnf(refute_0_311,plain,
( multiply(inverse(multiply(inverse(Y),multiply(X,Y))),inverse(inverse(X))) != multiply(inverse(multiply(X,Y)),multiply(Y,X))
| inverse(commutator(X,Y)) != multiply(inverse(multiply(inverse(Y),multiply(X,Y))),inverse(inverse(X)))
| inverse(commutator(X,Y)) = multiply(inverse(multiply(X,Y)),multiply(Y,X)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(commutator(X,Y)),multiply(inverse(multiply(inverse(Y),multiply(X,Y))),inverse(inverse(X)))) ),[1],$fot(multiply(inverse(multiply(X,Y)),multiply(Y,X)))]]) ).
cnf(refute_0_312,plain,
( inverse(commutator(X,Y)) != multiply(inverse(multiply(inverse(Y),multiply(X,Y))),inverse(inverse(X)))
| inverse(commutator(X,Y)) = multiply(inverse(multiply(X,Y)),multiply(Y,X)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(Y),multiply(X,Y))),inverse(inverse(X))),multiply(inverse(multiply(X,Y)),multiply(Y,X))) )],[refute_0_310,refute_0_311]) ).
cnf(refute_0_313,plain,
inverse(commutator(X,Y)) = multiply(inverse(multiply(X,Y)),multiply(Y,X)),
inference(resolve,[$cnf( $equal(inverse(commutator(X,Y)),multiply(inverse(multiply(inverse(Y),multiply(X,Y))),inverse(inverse(X)))) )],[refute_0_284,refute_0_312]) ).
cnf(refute_0_314,plain,
( inverse(commutator(X,Y)) != multiply(inverse(multiply(X,Y)),multiply(Y,X))
| multiply(inverse(multiply(X,Y)),multiply(Y,X)) = inverse(commutator(X,Y)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(inverse(commutator(X,Y)))),bind(Y0,$fot(multiply(inverse(multiply(X,Y)),multiply(Y,X))))]]) ).
cnf(refute_0_315,plain,
multiply(inverse(multiply(X,Y)),multiply(Y,X)) = inverse(commutator(X,Y)),
inference(resolve,[$cnf( $equal(inverse(commutator(X,Y)),multiply(inverse(multiply(X,Y)),multiply(Y,X))) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
multiply(inverse(multiply(Y,X)),multiply(X,Y)) = inverse(commutator(Y,X)),
inference(subst,[],[refute_0_315:[bind(X,$fot(Y)),bind(Y,$fot(X))]]) ).
cnf(refute_0_317,plain,
multiply(inverse(X),multiply(inverse(Y),multiply(X,Y))) = multiply(inverse(multiply(Y,X)),multiply(X,Y)),
inference(subst,[],[refute_0_242:[bind(Z,$fot(multiply(X,Y))),bind(X_62,$fot(X)),bind(X_63,$fot(Y))]]) ).
cnf(refute_0_318,plain,
( multiply(inverse(X),multiply(inverse(Y),multiply(X,Y))) != multiply(inverse(multiply(Y,X)),multiply(X,Y))
| multiply(inverse(multiply(Y,X)),multiply(X,Y)) != inverse(commutator(Y,X))
| multiply(inverse(X),multiply(inverse(Y),multiply(X,Y))) = inverse(commutator(Y,X)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(X),multiply(inverse(Y),multiply(X,Y))))),bind(Y0,$fot(multiply(inverse(multiply(Y,X)),multiply(X,Y)))),bind(Z0,$fot(inverse(commutator(Y,X))))]]) ).
cnf(refute_0_319,plain,
( multiply(inverse(multiply(Y,X)),multiply(X,Y)) != inverse(commutator(Y,X))
| multiply(inverse(X),multiply(inverse(Y),multiply(X,Y))) = inverse(commutator(Y,X)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X),multiply(inverse(Y),multiply(X,Y))),multiply(inverse(multiply(Y,X)),multiply(X,Y))) )],[refute_0_317,refute_0_318]) ).
cnf(refute_0_320,plain,
multiply(inverse(X),multiply(inverse(Y),multiply(X,Y))) = inverse(commutator(Y,X)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(Y,X)),multiply(X,Y)),inverse(commutator(Y,X))) )],[refute_0_316,refute_0_319]) ).
cnf(refute_0_321,plain,
( multiply(inverse(X),multiply(inverse(Y),multiply(X,Y))) != inverse(commutator(Y,X))
| commutator(X,Y) != multiply(inverse(X),multiply(inverse(Y),multiply(X,Y)))
| commutator(X,Y) = inverse(commutator(Y,X)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X,Y),multiply(inverse(X),multiply(inverse(Y),multiply(X,Y)))) ),[1],$fot(inverse(commutator(Y,X)))]]) ).
cnf(refute_0_322,plain,
( commutator(X,Y) != multiply(inverse(X),multiply(inverse(Y),multiply(X,Y)))
| commutator(X,Y) = inverse(commutator(Y,X)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X),multiply(inverse(Y),multiply(X,Y))),inverse(commutator(Y,X))) )],[refute_0_320,refute_0_321]) ).
cnf(refute_0_323,plain,
commutator(X,Y) = inverse(commutator(Y,X)),
inference(resolve,[$cnf( $equal(commutator(X,Y),multiply(inverse(X),multiply(inverse(Y),multiply(X,Y)))) )],[name,refute_0_322]) ).
cnf(refute_0_324,plain,
commutator(X_65,X_66) = inverse(commutator(X_66,X_65)),
inference(subst,[],[refute_0_323:[bind(X,$fot(X_65)),bind(Y,$fot(X_66))]]) ).
cnf(refute_0_325,plain,
( commutator(X_65,X_66) != inverse(commutator(X_66,X_65))
| inverse(commutator(X_66,X_65)) = commutator(X_65,X_66) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_65,X_66))),bind(Y0,$fot(inverse(commutator(X_66,X_65))))]]) ).
cnf(refute_0_326,plain,
inverse(commutator(X_66,X_65)) = commutator(X_65,X_66),
inference(resolve,[$cnf( $equal(commutator(X_65,X_66),inverse(commutator(X_66,X_65))) )],[refute_0_324,refute_0_325]) ).
cnf(refute_0_327,plain,
( inverse(multiply(commutator(X_66,X_65),X_10)) != multiply(inverse(X_10),inverse(commutator(X_66,X_65)))
| inverse(commutator(X_66,X_65)) != commutator(X_65,X_66)
| inverse(multiply(commutator(X_66,X_65),X_10)) = multiply(inverse(X_10),commutator(X_65,X_66)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(commutator(X_66,X_65),X_10)),multiply(inverse(X_10),inverse(commutator(X_66,X_65)))) ),[1,1],$fot(commutator(X_65,X_66))]]) ).
cnf(refute_0_328,plain,
( inverse(multiply(commutator(X_66,X_65),X_10)) != multiply(inverse(X_10),inverse(commutator(X_66,X_65)))
| inverse(multiply(commutator(X_66,X_65),X_10)) = multiply(inverse(X_10),commutator(X_65,X_66)) ),
inference(resolve,[$cnf( $equal(inverse(commutator(X_66,X_65)),commutator(X_65,X_66)) )],[refute_0_326,refute_0_327]) ).
cnf(refute_0_329,plain,
inverse(multiply(commutator(X_66,X_65),X_10)) = multiply(inverse(X_10),commutator(X_65,X_66)),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_66,X_65),X_10)),multiply(inverse(X_10),inverse(commutator(X_66,X_65)))) )],[refute_0_280,refute_0_328]) ).
cnf(refute_0_330,plain,
( inverse(multiply(commutator(X_66,X_65),X_10)) != multiply(inverse(X_10),commutator(X_65,X_66))
| multiply(inverse(X_10),commutator(X_65,X_66)) = inverse(multiply(commutator(X_66,X_65),X_10)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(inverse(multiply(commutator(X_66,X_65),X_10)))),bind(Y0,$fot(multiply(inverse(X_10),commutator(X_65,X_66))))]]) ).
cnf(refute_0_331,plain,
multiply(inverse(X_10),commutator(X_65,X_66)) = inverse(multiply(commutator(X_66,X_65),X_10)),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_66,X_65),X_10)),multiply(inverse(X_10),commutator(X_65,X_66))) )],[refute_0_329,refute_0_330]) ).
cnf(refute_0_332,plain,
multiply(inverse(multiply(inverse(X),X_51)),commutator(X,inverse(X_51))) = inverse(multiply(commutator(inverse(X_51),X),multiply(inverse(X),X_51))),
inference(subst,[],[refute_0_331:[bind(X_10,$fot(multiply(inverse(X),X_51))),bind(X_65,$fot(X)),bind(X_66,$fot(inverse(X_51)))]]) ).
cnf(refute_0_333,plain,
( multiply(X,inverse(X_51)) != multiply(inverse(multiply(inverse(X),X_51)),commutator(X,inverse(X_51)))
| multiply(inverse(multiply(inverse(X),X_51)),commutator(X,inverse(X_51))) != inverse(multiply(commutator(inverse(X_51),X),multiply(inverse(X),X_51)))
| multiply(X,inverse(X_51)) = inverse(multiply(commutator(inverse(X_51),X),multiply(inverse(X),X_51))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,inverse(X_51)),inverse(multiply(commutator(inverse(X_51),X),multiply(inverse(X),X_51)))) ),[0],$fot(multiply(inverse(multiply(inverse(X),X_51)),commutator(X,inverse(X_51))))]]) ).
cnf(refute_0_334,plain,
( multiply(X,inverse(X_51)) != multiply(inverse(multiply(inverse(X),X_51)),commutator(X,inverse(X_51)))
| multiply(X,inverse(X_51)) = inverse(multiply(commutator(inverse(X_51),X),multiply(inverse(X),X_51))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X),X_51)),commutator(X,inverse(X_51))),inverse(multiply(commutator(inverse(X_51),X),multiply(inverse(X),X_51)))) )],[refute_0_332,refute_0_333]) ).
cnf(refute_0_335,plain,
multiply(X,inverse(X_51)) = inverse(multiply(commutator(inverse(X_51),X),multiply(inverse(X),X_51))),
inference(resolve,[$cnf( $equal(multiply(X,inverse(X_51)),multiply(inverse(multiply(inverse(X),X_51)),commutator(X,inverse(X_51)))) )],[refute_0_279,refute_0_334]) ).
cnf(refute_0_336,plain,
multiply(commutator(inverse(inverse(X_90)),Z),inverse(X_90)) = inverse(multiply(commutator(inverse(X_90),commutator(inverse(inverse(X_90)),Z)),multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90))),
inference(subst,[],[refute_0_335:[bind(X,$fot(commutator(inverse(inverse(X_90)),Z))),bind(X_51,$fot(X_90))]]) ).
cnf(refute_0_337,plain,
commutator(commutator(X,inverse(X)),Z) = commutator(X,commutator(inverse(X),Z)),
inference(subst,[],[associativity_of_commutator:[bind(Y,$fot(inverse(X)))]]) ).
cnf(refute_0_338,plain,
commutator(X,inverse(X)) = multiply(inverse(X),multiply(inverse(inverse(X)),multiply(X,inverse(X)))),
inference(subst,[],[name:[bind(Y,$fot(inverse(X)))]]) ).
cnf(refute_0_339,plain,
( multiply(X,inverse(X)) != identity
| commutator(X,inverse(X)) != multiply(inverse(X),multiply(inverse(inverse(X)),multiply(X,inverse(X))))
| commutator(X,inverse(X)) = multiply(inverse(X),multiply(inverse(inverse(X)),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X,inverse(X)),multiply(inverse(X),multiply(inverse(inverse(X)),multiply(X,inverse(X))))) ),[1,1,1],$fot(identity)]]) ).
cnf(refute_0_340,plain,
( commutator(X,inverse(X)) != multiply(inverse(X),multiply(inverse(inverse(X)),multiply(X,inverse(X))))
| commutator(X,inverse(X)) = multiply(inverse(X),multiply(inverse(inverse(X)),identity)) ),
inference(resolve,[$cnf( $equal(multiply(X,inverse(X)),identity) )],[refute_0_134,refute_0_339]) ).
cnf(refute_0_341,plain,
commutator(X,inverse(X)) = multiply(inverse(X),multiply(inverse(inverse(X)),identity)),
inference(resolve,[$cnf( $equal(commutator(X,inverse(X)),multiply(inverse(X),multiply(inverse(inverse(X)),multiply(X,inverse(X))))) )],[refute_0_338,refute_0_340]) ).
cnf(refute_0_342,plain,
( Z != multiply(X,multiply(inverse(X),Z))
| multiply(X,multiply(inverse(X),Z)) = Z ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(Z)),bind(Y0,$fot(multiply(X,multiply(inverse(X),Z))))]]) ).
cnf(refute_0_343,plain,
multiply(X,multiply(inverse(X),Z)) = Z,
inference(resolve,[$cnf( $equal(Z,multiply(X,multiply(inverse(X),Z))) )],[refute_0_141,refute_0_342]) ).
cnf(refute_0_344,plain,
multiply(inverse(X),multiply(inverse(inverse(X)),identity)) = identity,
inference(subst,[],[refute_0_343:[bind(X,$fot(inverse(X))),bind(Z,$fot(identity))]]) ).
cnf(refute_0_345,plain,
( multiply(inverse(X),multiply(inverse(inverse(X)),identity)) != identity
| commutator(X,inverse(X)) != multiply(inverse(X),multiply(inverse(inverse(X)),identity))
| commutator(X,inverse(X)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X,inverse(X)),multiply(inverse(X),multiply(inverse(inverse(X)),identity))) ),[1],$fot(identity)]]) ).
cnf(refute_0_346,plain,
( commutator(X,inverse(X)) != multiply(inverse(X),multiply(inverse(inverse(X)),identity))
| commutator(X,inverse(X)) = identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(X),multiply(inverse(inverse(X)),identity)),identity) )],[refute_0_344,refute_0_345]) ).
cnf(refute_0_347,plain,
commutator(X,inverse(X)) = identity,
inference(resolve,[$cnf( $equal(commutator(X,inverse(X)),multiply(inverse(X),multiply(inverse(inverse(X)),identity))) )],[refute_0_341,refute_0_346]) ).
cnf(refute_0_348,plain,
( commutator(X,inverse(X)) != identity
| commutator(commutator(X,inverse(X)),Z) != commutator(X,commutator(inverse(X),Z))
| commutator(identity,Z) = commutator(X,commutator(inverse(X),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(X,inverse(X)),Z),commutator(X,commutator(inverse(X),Z))) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_349,plain,
( commutator(commutator(X,inverse(X)),Z) != commutator(X,commutator(inverse(X),Z))
| commutator(identity,Z) = commutator(X,commutator(inverse(X),Z)) ),
inference(resolve,[$cnf( $equal(commutator(X,inverse(X)),identity) )],[refute_0_347,refute_0_348]) ).
cnf(refute_0_350,plain,
commutator(identity,Z) = commutator(X,commutator(inverse(X),Z)),
inference(resolve,[$cnf( $equal(commutator(commutator(X,inverse(X)),Z),commutator(X,commutator(inverse(X),Z))) )],[refute_0_337,refute_0_349]) ).
cnf(refute_0_351,plain,
( commutator(identity,Z) != commutator(X,commutator(inverse(X),Z))
| commutator(identity,Z) != identity
| identity = commutator(X,commutator(inverse(X),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(identity,Z),commutator(X,commutator(inverse(X),Z))) ),[0],$fot(identity)]]) ).
cnf(refute_0_352,plain,
( commutator(identity,Z) != commutator(X,commutator(inverse(X),Z))
| identity = commutator(X,commutator(inverse(X),Z)) ),
inference(resolve,[$cnf( $equal(commutator(identity,Z),identity) )],[refute_0_71,refute_0_351]) ).
cnf(refute_0_353,plain,
identity = commutator(X,commutator(inverse(X),Z)),
inference(resolve,[$cnf( $equal(commutator(identity,Z),commutator(X,commutator(inverse(X),Z))) )],[refute_0_350,refute_0_352]) ).
cnf(refute_0_354,plain,
identity = commutator(inverse(X_90),commutator(inverse(inverse(X_90)),Z)),
inference(subst,[],[refute_0_353:[bind(X,$fot(inverse(X_90)))]]) ).
cnf(refute_0_355,plain,
( identity != commutator(inverse(X_90),commutator(inverse(inverse(X_90)),Z))
| commutator(inverse(X_90),commutator(inverse(inverse(X_90)),Z)) = identity ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(identity)),bind(Y0,$fot(commutator(inverse(X_90),commutator(inverse(inverse(X_90)),Z))))]]) ).
cnf(refute_0_356,plain,
commutator(inverse(X_90),commutator(inverse(inverse(X_90)),Z)) = identity,
inference(resolve,[$cnf( $equal(identity,commutator(inverse(X_90),commutator(inverse(inverse(X_90)),Z))) )],[refute_0_354,refute_0_355]) ).
cnf(refute_0_357,plain,
( multiply(commutator(inverse(inverse(X_90)),Z),inverse(X_90)) != inverse(multiply(commutator(inverse(X_90),commutator(inverse(inverse(X_90)),Z)),multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90)))
| commutator(inverse(X_90),commutator(inverse(inverse(X_90)),Z)) != identity
| multiply(commutator(inverse(inverse(X_90)),Z),inverse(X_90)) = inverse(multiply(identity,multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(inverse(inverse(X_90)),Z),inverse(X_90)),inverse(multiply(commutator(inverse(X_90),commutator(inverse(inverse(X_90)),Z)),multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90)))) ),[1,0,0],$fot(identity)]]) ).
cnf(refute_0_358,plain,
( multiply(commutator(inverse(inverse(X_90)),Z),inverse(X_90)) != inverse(multiply(commutator(inverse(X_90),commutator(inverse(inverse(X_90)),Z)),multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90)))
| multiply(commutator(inverse(inverse(X_90)),Z),inverse(X_90)) = inverse(multiply(identity,multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_90),commutator(inverse(inverse(X_90)),Z)),identity) )],[refute_0_356,refute_0_357]) ).
cnf(refute_0_359,plain,
multiply(commutator(inverse(inverse(X_90)),Z),inverse(X_90)) = inverse(multiply(identity,multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90))),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(inverse(X_90)),Z),inverse(X_90)),inverse(multiply(commutator(inverse(X_90),commutator(inverse(inverse(X_90)),Z)),multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90)))) )],[refute_0_336,refute_0_358]) ).
cnf(refute_0_360,plain,
inverse(inverse(X_90)) = X_90,
inference(subst,[],[refute_0_152:[bind(X_27,$fot(X_90))]]) ).
cnf(refute_0_361,plain,
commutator(Z,inverse(inverse(X_90))) = commutator(Z,inverse(inverse(X_90))),
introduced(tautology,[refl,[$fot(commutator(Z,inverse(inverse(X_90))))]]) ).
cnf(refute_0_362,plain,
( commutator(Z,inverse(inverse(X_90))) != commutator(Z,inverse(inverse(X_90)))
| inverse(inverse(X_90)) != X_90
| commutator(Z,inverse(inverse(X_90))) = commutator(Z,X_90) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(Z,inverse(inverse(X_90))),commutator(Z,inverse(inverse(X_90)))) ),[1,1],$fot(X_90)]]) ).
cnf(refute_0_363,plain,
( inverse(inverse(X_90)) != X_90
| commutator(Z,inverse(inverse(X_90))) = commutator(Z,X_90) ),
inference(resolve,[$cnf( $equal(commutator(Z,inverse(inverse(X_90))),commutator(Z,inverse(inverse(X_90)))) )],[refute_0_361,refute_0_362]) ).
cnf(refute_0_364,plain,
commutator(Z,inverse(inverse(X_90))) = commutator(Z,X_90),
inference(resolve,[$cnf( $equal(inverse(inverse(X_90)),X_90) )],[refute_0_360,refute_0_363]) ).
cnf(refute_0_365,plain,
multiply(X_90,commutator(Z,inverse(inverse(X_90)))) = multiply(X_90,commutator(Z,inverse(inverse(X_90)))),
introduced(tautology,[refl,[$fot(multiply(X_90,commutator(Z,inverse(inverse(X_90)))))]]) ).
cnf(refute_0_366,plain,
( multiply(X_90,commutator(Z,inverse(inverse(X_90)))) != multiply(X_90,commutator(Z,inverse(inverse(X_90))))
| commutator(Z,inverse(inverse(X_90))) != commutator(Z,X_90)
| multiply(X_90,commutator(Z,inverse(inverse(X_90)))) = multiply(X_90,commutator(Z,X_90)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_90,commutator(Z,inverse(inverse(X_90)))),multiply(X_90,commutator(Z,inverse(inverse(X_90))))) ),[1,1],$fot(commutator(Z,X_90))]]) ).
cnf(refute_0_367,plain,
( commutator(Z,inverse(inverse(X_90))) != commutator(Z,X_90)
| multiply(X_90,commutator(Z,inverse(inverse(X_90)))) = multiply(X_90,commutator(Z,X_90)) ),
inference(resolve,[$cnf( $equal(multiply(X_90,commutator(Z,inverse(inverse(X_90)))),multiply(X_90,commutator(Z,inverse(inverse(X_90))))) )],[refute_0_365,refute_0_366]) ).
cnf(refute_0_368,plain,
multiply(X_90,commutator(Z,inverse(inverse(X_90)))) = multiply(X_90,commutator(Z,X_90)),
inference(resolve,[$cnf( $equal(commutator(Z,inverse(inverse(X_90))),commutator(Z,X_90)) )],[refute_0_364,refute_0_367]) ).
cnf(refute_0_369,plain,
inverse(multiply(X_90,commutator(Z,inverse(inverse(X_90))))) = inverse(multiply(X_90,commutator(Z,inverse(inverse(X_90))))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_90,commutator(Z,inverse(inverse(X_90))))))]]) ).
cnf(refute_0_370,plain,
( multiply(X_90,commutator(Z,inverse(inverse(X_90)))) != multiply(X_90,commutator(Z,X_90))
| inverse(multiply(X_90,commutator(Z,inverse(inverse(X_90))))) != inverse(multiply(X_90,commutator(Z,inverse(inverse(X_90)))))
| inverse(multiply(X_90,commutator(Z,inverse(inverse(X_90))))) = inverse(multiply(X_90,commutator(Z,X_90))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_90,commutator(Z,inverse(inverse(X_90))))),inverse(multiply(X_90,commutator(Z,inverse(inverse(X_90)))))) ),[1,0],$fot(multiply(X_90,commutator(Z,X_90)))]]) ).
cnf(refute_0_371,plain,
( multiply(X_90,commutator(Z,inverse(inverse(X_90)))) != multiply(X_90,commutator(Z,X_90))
| inverse(multiply(X_90,commutator(Z,inverse(inverse(X_90))))) = inverse(multiply(X_90,commutator(Z,X_90))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_90,commutator(Z,inverse(inverse(X_90))))),inverse(multiply(X_90,commutator(Z,inverse(inverse(X_90)))))) )],[refute_0_369,refute_0_370]) ).
cnf(refute_0_372,plain,
inverse(multiply(X_90,commutator(Z,inverse(inverse(X_90))))) = inverse(multiply(X_90,commutator(Z,X_90))),
inference(resolve,[$cnf( $equal(multiply(X_90,commutator(Z,inverse(inverse(X_90)))),multiply(X_90,commutator(Z,X_90))) )],[refute_0_368,refute_0_371]) ).
cnf(refute_0_373,plain,
inverse(multiply(X_58,commutator(X_66,X_65))) = multiply(inverse(commutator(X_66,X_65)),inverse(X_58)),
inference(subst,[],[refute_0_234:[bind(X_10,$fot(commutator(X_66,X_65)))]]) ).
cnf(refute_0_374,plain,
( inverse(multiply(X_58,commutator(X_66,X_65))) != multiply(inverse(commutator(X_66,X_65)),inverse(X_58))
| inverse(commutator(X_66,X_65)) != commutator(X_65,X_66)
| inverse(multiply(X_58,commutator(X_66,X_65))) = multiply(commutator(X_65,X_66),inverse(X_58)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_58,commutator(X_66,X_65))),multiply(inverse(commutator(X_66,X_65)),inverse(X_58))) ),[1,0],$fot(commutator(X_65,X_66))]]) ).
cnf(refute_0_375,plain,
( inverse(multiply(X_58,commutator(X_66,X_65))) != multiply(inverse(commutator(X_66,X_65)),inverse(X_58))
| inverse(multiply(X_58,commutator(X_66,X_65))) = multiply(commutator(X_65,X_66),inverse(X_58)) ),
inference(resolve,[$cnf( $equal(inverse(commutator(X_66,X_65)),commutator(X_65,X_66)) )],[refute_0_326,refute_0_374]) ).
cnf(refute_0_376,plain,
inverse(multiply(X_58,commutator(X_66,X_65))) = multiply(commutator(X_65,X_66),inverse(X_58)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_58,commutator(X_66,X_65))),multiply(inverse(commutator(X_66,X_65)),inverse(X_58))) )],[refute_0_373,refute_0_375]) ).
cnf(refute_0_377,plain,
( inverse(multiply(X_58,commutator(X_66,X_65))) != multiply(commutator(X_65,X_66),inverse(X_58))
| multiply(commutator(X_65,X_66),inverse(X_58)) = inverse(multiply(X_58,commutator(X_66,X_65))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(inverse(multiply(X_58,commutator(X_66,X_65))))),bind(Y0,$fot(multiply(commutator(X_65,X_66),inverse(X_58))))]]) ).
cnf(refute_0_378,plain,
multiply(commutator(X_65,X_66),inverse(X_58)) = inverse(multiply(X_58,commutator(X_66,X_65))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_58,commutator(X_66,X_65))),multiply(commutator(X_65,X_66),inverse(X_58))) )],[refute_0_376,refute_0_377]) ).
cnf(refute_0_379,plain,
multiply(commutator(inverse(inverse(X_90)),Z),inverse(X_90)) = inverse(multiply(X_90,commutator(Z,inverse(inverse(X_90))))),
inference(subst,[],[refute_0_378:[bind(X_58,$fot(X_90)),bind(X_65,$fot(inverse(inverse(X_90)))),bind(X_66,$fot(Z))]]) ).
cnf(refute_0_380,plain,
( multiply(commutator(inverse(inverse(X_90)),Z),inverse(X_90)) != inverse(multiply(X_90,commutator(Z,inverse(inverse(X_90)))))
| inverse(multiply(X_90,commutator(Z,inverse(inverse(X_90))))) != inverse(multiply(X_90,commutator(Z,X_90)))
| multiply(commutator(inverse(inverse(X_90)),Z),inverse(X_90)) = inverse(multiply(X_90,commutator(Z,X_90))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(inverse(inverse(X_90)),Z),inverse(X_90)))),bind(Y0,$fot(inverse(multiply(X_90,commutator(Z,inverse(inverse(X_90))))))),bind(Z0,$fot(inverse(multiply(X_90,commutator(Z,X_90)))))]]) ).
cnf(refute_0_381,plain,
( inverse(multiply(X_90,commutator(Z,inverse(inverse(X_90))))) != inverse(multiply(X_90,commutator(Z,X_90)))
| multiply(commutator(inverse(inverse(X_90)),Z),inverse(X_90)) = inverse(multiply(X_90,commutator(Z,X_90))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(inverse(X_90)),Z),inverse(X_90)),inverse(multiply(X_90,commutator(Z,inverse(inverse(X_90)))))) )],[refute_0_379,refute_0_380]) ).
cnf(refute_0_382,plain,
multiply(commutator(inverse(inverse(X_90)),Z),inverse(X_90)) = inverse(multiply(X_90,commutator(Z,X_90))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_90,commutator(Z,inverse(inverse(X_90))))),inverse(multiply(X_90,commutator(Z,X_90)))) )],[refute_0_372,refute_0_381]) ).
cnf(refute_0_383,plain,
( multiply(commutator(inverse(inverse(X_90)),Z),inverse(X_90)) != inverse(multiply(X_90,commutator(Z,X_90)))
| multiply(commutator(inverse(inverse(X_90)),Z),inverse(X_90)) != inverse(multiply(identity,multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90)))
| inverse(multiply(X_90,commutator(Z,X_90))) = inverse(multiply(identity,multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(inverse(inverse(X_90)),Z),inverse(X_90)),inverse(multiply(identity,multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90)))) ),[0],$fot(inverse(multiply(X_90,commutator(Z,X_90))))]]) ).
cnf(refute_0_384,plain,
( multiply(commutator(inverse(inverse(X_90)),Z),inverse(X_90)) != inverse(multiply(identity,multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90)))
| inverse(multiply(X_90,commutator(Z,X_90))) = inverse(multiply(identity,multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(inverse(X_90)),Z),inverse(X_90)),inverse(multiply(X_90,commutator(Z,X_90)))) )],[refute_0_382,refute_0_383]) ).
cnf(refute_0_385,plain,
( commutator(X,Y) != inverse(commutator(Y,X))
| inverse(commutator(Y,X)) = commutator(X,Y) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X,Y))),bind(Y0,$fot(inverse(commutator(Y,X))))]]) ).
cnf(refute_0_386,plain,
inverse(commutator(Y,X)) = commutator(X,Y),
inference(resolve,[$cnf( $equal(commutator(X,Y),inverse(commutator(Y,X))) )],[refute_0_323,refute_0_385]) ).
cnf(refute_0_387,plain,
inverse(commutator(inverse(inverse(X_90)),Z)) = commutator(Z,inverse(inverse(X_90))),
inference(subst,[],[refute_0_386:[bind(X,$fot(Z)),bind(Y,$fot(inverse(inverse(X_90))))]]) ).
cnf(refute_0_388,plain,
( commutator(Z,inverse(inverse(X_90))) != commutator(Z,X_90)
| inverse(commutator(inverse(inverse(X_90)),Z)) != commutator(Z,inverse(inverse(X_90)))
| inverse(commutator(inverse(inverse(X_90)),Z)) = commutator(Z,X_90) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(commutator(inverse(inverse(X_90)),Z)))),bind(Y0,$fot(commutator(Z,inverse(inverse(X_90))))),bind(Z0,$fot(commutator(Z,X_90)))]]) ).
cnf(refute_0_389,plain,
( commutator(Z,inverse(inverse(X_90))) != commutator(Z,X_90)
| inverse(commutator(inverse(inverse(X_90)),Z)) = commutator(Z,X_90) ),
inference(resolve,[$cnf( $equal(inverse(commutator(inverse(inverse(X_90)),Z)),commutator(Z,inverse(inverse(X_90)))) )],[refute_0_387,refute_0_388]) ).
cnf(refute_0_390,plain,
inverse(commutator(inverse(inverse(X_90)),Z)) = commutator(Z,X_90),
inference(resolve,[$cnf( $equal(commutator(Z,inverse(inverse(X_90))),commutator(Z,X_90)) )],[refute_0_364,refute_0_389]) ).
cnf(refute_0_391,plain,
multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90) = multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90),
introduced(tautology,[refl,[$fot(multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90))]]) ).
cnf(refute_0_392,plain,
( multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90) != multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90)
| inverse(commutator(inverse(inverse(X_90)),Z)) != commutator(Z,X_90)
| multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90) = multiply(commutator(Z,X_90),X_90) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90),multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90)) ),[1,0],$fot(commutator(Z,X_90))]]) ).
cnf(refute_0_393,plain,
( inverse(commutator(inverse(inverse(X_90)),Z)) != commutator(Z,X_90)
| multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90) = multiply(commutator(Z,X_90),X_90) ),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90),multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90)) )],[refute_0_391,refute_0_392]) ).
cnf(refute_0_394,plain,
multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90) = multiply(commutator(Z,X_90),X_90),
inference(resolve,[$cnf( $equal(inverse(commutator(inverse(inverse(X_90)),Z)),commutator(Z,X_90)) )],[refute_0_390,refute_0_393]) ).
cnf(refute_0_395,plain,
multiply(identity,multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90)) = multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90),
inference(subst,[],[left_identity:[bind(X,$fot(multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90)))]]) ).
cnf(refute_0_396,plain,
( multiply(identity,multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90)) != multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90)
| multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90) != multiply(commutator(Z,X_90),X_90)
| multiply(identity,multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90)) = multiply(commutator(Z,X_90),X_90) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(identity,multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90)))),bind(Y0,$fot(multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90))),bind(Z0,$fot(multiply(commutator(Z,X_90),X_90)))]]) ).
cnf(refute_0_397,plain,
( multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90) != multiply(commutator(Z,X_90),X_90)
| multiply(identity,multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90)) = multiply(commutator(Z,X_90),X_90) ),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90)),multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90)) )],[refute_0_395,refute_0_396]) ).
cnf(refute_0_398,plain,
multiply(identity,multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90)) = multiply(commutator(Z,X_90),X_90),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90),multiply(commutator(Z,X_90),X_90)) )],[refute_0_394,refute_0_397]) ).
cnf(refute_0_399,plain,
inverse(multiply(identity,multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90))) = inverse(multiply(identity,multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90))),
introduced(tautology,[refl,[$fot(inverse(multiply(identity,multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90))))]]) ).
cnf(refute_0_400,plain,
( multiply(identity,multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90)) != multiply(commutator(Z,X_90),X_90)
| inverse(multiply(identity,multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90))) != inverse(multiply(identity,multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90)))
| inverse(multiply(identity,multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90))) = inverse(multiply(commutator(Z,X_90),X_90)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(identity,multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90))),inverse(multiply(identity,multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90)))) ),[1,0],$fot(multiply(commutator(Z,X_90),X_90))]]) ).
cnf(refute_0_401,plain,
( multiply(identity,multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90)) != multiply(commutator(Z,X_90),X_90)
| inverse(multiply(identity,multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90))) = inverse(multiply(commutator(Z,X_90),X_90)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(identity,multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90))),inverse(multiply(identity,multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90)))) )],[refute_0_399,refute_0_400]) ).
cnf(refute_0_402,plain,
inverse(multiply(identity,multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90))) = inverse(multiply(commutator(Z,X_90),X_90)),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90)),multiply(commutator(Z,X_90),X_90)) )],[refute_0_398,refute_0_401]) ).
cnf(refute_0_403,plain,
( inverse(multiply(X_90,commutator(Z,X_90))) != inverse(multiply(identity,multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90)))
| inverse(multiply(identity,multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90))) != inverse(multiply(commutator(Z,X_90),X_90))
| inverse(multiply(X_90,commutator(Z,X_90))) = inverse(multiply(commutator(Z,X_90),X_90)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(inverse(multiply(X_90,commutator(Z,X_90))),inverse(multiply(commutator(Z,X_90),X_90))) ),[0],$fot(inverse(multiply(identity,multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90))))]]) ).
cnf(refute_0_404,plain,
( inverse(multiply(X_90,commutator(Z,X_90))) != inverse(multiply(identity,multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90)))
| inverse(multiply(X_90,commutator(Z,X_90))) = inverse(multiply(commutator(Z,X_90),X_90)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(identity,multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90))),inverse(multiply(commutator(Z,X_90),X_90))) )],[refute_0_402,refute_0_403]) ).
cnf(refute_0_405,plain,
( multiply(commutator(inverse(inverse(X_90)),Z),inverse(X_90)) != inverse(multiply(identity,multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90)))
| inverse(multiply(X_90,commutator(Z,X_90))) = inverse(multiply(commutator(Z,X_90),X_90)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_90,commutator(Z,X_90))),inverse(multiply(identity,multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90)))) )],[refute_0_384,refute_0_404]) ).
cnf(refute_0_406,plain,
inverse(multiply(X_90,commutator(Z,X_90))) = inverse(multiply(commutator(Z,X_90),X_90)),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(inverse(X_90)),Z),inverse(X_90)),inverse(multiply(identity,multiply(inverse(commutator(inverse(inverse(X_90)),Z)),X_90)))) )],[refute_0_359,refute_0_405]) ).
cnf(refute_0_407,plain,
( inverse(multiply(X_90,commutator(Z,X_90))) != inverse(multiply(commutator(Z,X_90),X_90))
| inverse(multiply(commutator(Z,X_90),X_90)) = inverse(multiply(X_90,commutator(Z,X_90))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(inverse(multiply(X_90,commutator(Z,X_90))))),bind(Y0,$fot(inverse(multiply(commutator(Z,X_90),X_90))))]]) ).
cnf(refute_0_408,plain,
inverse(multiply(commutator(Z,X_90),X_90)) = inverse(multiply(X_90,commutator(Z,X_90))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_90,commutator(Z,X_90))),inverse(multiply(commutator(Z,X_90),X_90))) )],[refute_0_406,refute_0_407]) ).
cnf(refute_0_409,plain,
inverse(multiply(commutator(X_58,X_10),X_10)) = inverse(multiply(X_10,commutator(X_58,X_10))),
inference(subst,[],[refute_0_408:[bind(Z,$fot(X_58)),bind(X_90,$fot(X_10))]]) ).
cnf(refute_0_410,plain,
multiply(commutator(X_109,X_110),inverse(multiply(commutator(inverse(X_109),X_110),commutator(X_109,X_110)))) = inverse(commutator(inverse(X_109),X_110)),
inference(subst,[],[refute_0_176:[bind(X_10,$fot(commutator(inverse(X_109),X_110))),bind(X_57,$fot(commutator(X_109,X_110)))]]) ).
cnf(refute_0_411,plain,
commutator(inverse(X_29),Y) = multiply(inverse(inverse(X_29)),multiply(inverse(Y),multiply(inverse(X_29),Y))),
inference(subst,[],[name:[bind(X,$fot(inverse(X_29)))]]) ).
cnf(refute_0_412,plain,
( commutator(inverse(X_29),Y) != multiply(inverse(inverse(X_29)),multiply(inverse(Y),multiply(inverse(X_29),Y)))
| inverse(inverse(X_29)) != X_29
| commutator(inverse(X_29),Y) = multiply(X_29,multiply(inverse(Y),multiply(inverse(X_29),Y))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(X_29),Y),multiply(inverse(inverse(X_29)),multiply(inverse(Y),multiply(inverse(X_29),Y)))) ),[1,0],$fot(X_29)]]) ).
cnf(refute_0_413,plain,
( commutator(inverse(X_29),Y) != multiply(inverse(inverse(X_29)),multiply(inverse(Y),multiply(inverse(X_29),Y)))
| commutator(inverse(X_29),Y) = multiply(X_29,multiply(inverse(Y),multiply(inverse(X_29),Y))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_29)),X_29) )],[refute_0_270,refute_0_412]) ).
cnf(refute_0_414,plain,
commutator(inverse(X_29),Y) = multiply(X_29,multiply(inverse(Y),multiply(inverse(X_29),Y))),
inference(resolve,[$cnf( $equal(commutator(inverse(X_29),Y),multiply(inverse(inverse(X_29)),multiply(inverse(Y),multiply(inverse(X_29),Y)))) )],[refute_0_411,refute_0_413]) ).
cnf(refute_0_415,plain,
commutator(inverse(X_15),multiply(X_15,X_16)) = multiply(inverse(inverse(X_15)),multiply(inverse(multiply(X_15,X_16)),multiply(inverse(X_15),multiply(X_15,X_16)))),
inference(subst,[],[name:[bind(X,$fot(inverse(X_15))),bind(Y,$fot(multiply(X_15,X_16)))]]) ).
cnf(refute_0_416,plain,
( multiply(inverse(X_15),multiply(X_15,X_16)) != X_16
| commutator(inverse(X_15),multiply(X_15,X_16)) != multiply(inverse(inverse(X_15)),multiply(inverse(multiply(X_15,X_16)),multiply(inverse(X_15),multiply(X_15,X_16))))
| commutator(inverse(X_15),multiply(X_15,X_16)) = multiply(inverse(inverse(X_15)),multiply(inverse(multiply(X_15,X_16)),X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(X_15),multiply(X_15,X_16)),multiply(inverse(inverse(X_15)),multiply(inverse(multiply(X_15,X_16)),multiply(inverse(X_15),multiply(X_15,X_16))))) ),[1,1,1],$fot(X_16)]]) ).
cnf(refute_0_417,plain,
( commutator(inverse(X_15),multiply(X_15,X_16)) != multiply(inverse(inverse(X_15)),multiply(inverse(multiply(X_15,X_16)),multiply(inverse(X_15),multiply(X_15,X_16))))
| commutator(inverse(X_15),multiply(X_15,X_16)) = multiply(inverse(inverse(X_15)),multiply(inverse(multiply(X_15,X_16)),X_16)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_15),multiply(X_15,X_16)),X_16) )],[refute_0_89,refute_0_416]) ).
cnf(refute_0_418,plain,
commutator(inverse(X_15),multiply(X_15,X_16)) = multiply(inverse(inverse(X_15)),multiply(inverse(multiply(X_15,X_16)),X_16)),
inference(resolve,[$cnf( $equal(commutator(inverse(X_15),multiply(X_15,X_16)),multiply(inverse(inverse(X_15)),multiply(inverse(multiply(X_15,X_16)),multiply(inverse(X_15),multiply(X_15,X_16))))) )],[refute_0_415,refute_0_417]) ).
cnf(refute_0_419,plain,
multiply(inverse(inverse(X_15)),multiply(inverse(multiply(X_15,X_16)),X_16)) = multiply(X_15,multiply(inverse(multiply(X_15,X_16)),X_16)),
inference(subst,[],[refute_0_94:[bind(X_16,$fot(multiply(inverse(multiply(X_15,X_16)),X_16)))]]) ).
cnf(refute_0_420,plain,
( multiply(inverse(inverse(X_15)),multiply(inverse(multiply(X_15,X_16)),X_16)) != multiply(X_15,multiply(inverse(multiply(X_15,X_16)),X_16))
| commutator(inverse(X_15),multiply(X_15,X_16)) != multiply(inverse(inverse(X_15)),multiply(inverse(multiply(X_15,X_16)),X_16))
| commutator(inverse(X_15),multiply(X_15,X_16)) = multiply(X_15,multiply(inverse(multiply(X_15,X_16)),X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(X_15),multiply(X_15,X_16)),multiply(inverse(inverse(X_15)),multiply(inverse(multiply(X_15,X_16)),X_16))) ),[1],$fot(multiply(X_15,multiply(inverse(multiply(X_15,X_16)),X_16)))]]) ).
cnf(refute_0_421,plain,
( commutator(inverse(X_15),multiply(X_15,X_16)) != multiply(inverse(inverse(X_15)),multiply(inverse(multiply(X_15,X_16)),X_16))
| commutator(inverse(X_15),multiply(X_15,X_16)) = multiply(X_15,multiply(inverse(multiply(X_15,X_16)),X_16)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_15)),multiply(inverse(multiply(X_15,X_16)),X_16)),multiply(X_15,multiply(inverse(multiply(X_15,X_16)),X_16))) )],[refute_0_419,refute_0_420]) ).
cnf(refute_0_422,plain,
commutator(inverse(X_15),multiply(X_15,X_16)) = multiply(X_15,multiply(inverse(multiply(X_15,X_16)),X_16)),
inference(resolve,[$cnf( $equal(commutator(inverse(X_15),multiply(X_15,X_16)),multiply(inverse(inverse(X_15)),multiply(inverse(multiply(X_15,X_16)),X_16))) )],[refute_0_418,refute_0_421]) ).
cnf(refute_0_423,plain,
( commutator(inverse(X_15),multiply(X_15,X_16)) != multiply(X_15,multiply(inverse(multiply(X_15,X_16)),X_16))
| multiply(X_15,multiply(inverse(multiply(X_15,X_16)),X_16)) = commutator(inverse(X_15),multiply(X_15,X_16)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(inverse(X_15),multiply(X_15,X_16)))),bind(Y0,$fot(multiply(X_15,multiply(inverse(multiply(X_15,X_16)),X_16))))]]) ).
cnf(refute_0_424,plain,
multiply(X_15,multiply(inverse(multiply(X_15,X_16)),X_16)) = commutator(inverse(X_15),multiply(X_15,X_16)),
inference(resolve,[$cnf( $equal(commutator(inverse(X_15),multiply(X_15,X_16)),multiply(X_15,multiply(inverse(multiply(X_15,X_16)),X_16))) )],[refute_0_422,refute_0_423]) ).
cnf(refute_0_425,plain,
multiply(X_29,multiply(inverse(multiply(X_29,Y)),Y)) = commutator(inverse(X_29),multiply(X_29,Y)),
inference(subst,[],[refute_0_424:[bind(X_15,$fot(X_29)),bind(X_16,$fot(Y))]]) ).
cnf(refute_0_426,plain,
multiply(inverse(Y),multiply(inverse(X_29),Y)) = multiply(inverse(multiply(X_29,Y)),Y),
inference(subst,[],[refute_0_242:[bind(Z,$fot(Y)),bind(X_62,$fot(Y)),bind(X_63,$fot(X_29))]]) ).
cnf(refute_0_427,plain,
multiply(X_29,multiply(inverse(Y),multiply(inverse(X_29),Y))) = multiply(X_29,multiply(inverse(Y),multiply(inverse(X_29),Y))),
introduced(tautology,[refl,[$fot(multiply(X_29,multiply(inverse(Y),multiply(inverse(X_29),Y))))]]) ).
cnf(refute_0_428,plain,
( multiply(X_29,multiply(inverse(Y),multiply(inverse(X_29),Y))) != multiply(X_29,multiply(inverse(Y),multiply(inverse(X_29),Y)))
| multiply(inverse(Y),multiply(inverse(X_29),Y)) != multiply(inverse(multiply(X_29,Y)),Y)
| multiply(X_29,multiply(inverse(Y),multiply(inverse(X_29),Y))) = multiply(X_29,multiply(inverse(multiply(X_29,Y)),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_29,multiply(inverse(Y),multiply(inverse(X_29),Y))),multiply(X_29,multiply(inverse(Y),multiply(inverse(X_29),Y)))) ),[1,1],$fot(multiply(inverse(multiply(X_29,Y)),Y))]]) ).
cnf(refute_0_429,plain,
( multiply(inverse(Y),multiply(inverse(X_29),Y)) != multiply(inverse(multiply(X_29,Y)),Y)
| multiply(X_29,multiply(inverse(Y),multiply(inverse(X_29),Y))) = multiply(X_29,multiply(inverse(multiply(X_29,Y)),Y)) ),
inference(resolve,[$cnf( $equal(multiply(X_29,multiply(inverse(Y),multiply(inverse(X_29),Y))),multiply(X_29,multiply(inverse(Y),multiply(inverse(X_29),Y)))) )],[refute_0_427,refute_0_428]) ).
cnf(refute_0_430,plain,
multiply(X_29,multiply(inverse(Y),multiply(inverse(X_29),Y))) = multiply(X_29,multiply(inverse(multiply(X_29,Y)),Y)),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),multiply(inverse(X_29),Y)),multiply(inverse(multiply(X_29,Y)),Y)) )],[refute_0_426,refute_0_429]) ).
cnf(refute_0_431,plain,
( multiply(X_29,multiply(inverse(Y),multiply(inverse(X_29),Y))) != multiply(X_29,multiply(inverse(multiply(X_29,Y)),Y))
| multiply(X_29,multiply(inverse(multiply(X_29,Y)),Y)) != commutator(inverse(X_29),multiply(X_29,Y))
| multiply(X_29,multiply(inverse(Y),multiply(inverse(X_29),Y))) = commutator(inverse(X_29),multiply(X_29,Y)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_29,multiply(inverse(Y),multiply(inverse(X_29),Y))))),bind(Y0,$fot(multiply(X_29,multiply(inverse(multiply(X_29,Y)),Y)))),bind(Z0,$fot(commutator(inverse(X_29),multiply(X_29,Y))))]]) ).
cnf(refute_0_432,plain,
( multiply(X_29,multiply(inverse(multiply(X_29,Y)),Y)) != commutator(inverse(X_29),multiply(X_29,Y))
| multiply(X_29,multiply(inverse(Y),multiply(inverse(X_29),Y))) = commutator(inverse(X_29),multiply(X_29,Y)) ),
inference(resolve,[$cnf( $equal(multiply(X_29,multiply(inverse(Y),multiply(inverse(X_29),Y))),multiply(X_29,multiply(inverse(multiply(X_29,Y)),Y))) )],[refute_0_430,refute_0_431]) ).
cnf(refute_0_433,plain,
multiply(X_29,multiply(inverse(Y),multiply(inverse(X_29),Y))) = commutator(inverse(X_29),multiply(X_29,Y)),
inference(resolve,[$cnf( $equal(multiply(X_29,multiply(inverse(multiply(X_29,Y)),Y)),commutator(inverse(X_29),multiply(X_29,Y))) )],[refute_0_425,refute_0_432]) ).
cnf(refute_0_434,plain,
( multiply(X_29,multiply(inverse(Y),multiply(inverse(X_29),Y))) != commutator(inverse(X_29),multiply(X_29,Y))
| commutator(inverse(X_29),Y) != multiply(X_29,multiply(inverse(Y),multiply(inverse(X_29),Y)))
| commutator(inverse(X_29),Y) = commutator(inverse(X_29),multiply(X_29,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(X_29),Y),multiply(X_29,multiply(inverse(Y),multiply(inverse(X_29),Y)))) ),[1],$fot(commutator(inverse(X_29),multiply(X_29,Y)))]]) ).
cnf(refute_0_435,plain,
( commutator(inverse(X_29),Y) != multiply(X_29,multiply(inverse(Y),multiply(inverse(X_29),Y)))
| commutator(inverse(X_29),Y) = commutator(inverse(X_29),multiply(X_29,Y)) ),
inference(resolve,[$cnf( $equal(multiply(X_29,multiply(inverse(Y),multiply(inverse(X_29),Y))),commutator(inverse(X_29),multiply(X_29,Y))) )],[refute_0_433,refute_0_434]) ).
cnf(refute_0_436,plain,
commutator(inverse(X_29),Y) = commutator(inverse(X_29),multiply(X_29,Y)),
inference(resolve,[$cnf( $equal(commutator(inverse(X_29),Y),multiply(X_29,multiply(inverse(Y),multiply(inverse(X_29),Y)))) )],[refute_0_414,refute_0_435]) ).
cnf(refute_0_437,plain,
commutator(inverse(inverse(X_10)),multiply(X_10,X_11)) = commutator(inverse(inverse(X_10)),multiply(inverse(X_10),multiply(X_10,X_11))),
inference(subst,[],[refute_0_436:[bind(Y,$fot(multiply(X_10,X_11))),bind(X_29,$fot(inverse(X_10)))]]) ).
cnf(refute_0_438,plain,
( multiply(inverse(X_10),multiply(X_10,X_11)) != X_11
| commutator(inverse(inverse(X_10)),multiply(X_10,X_11)) != commutator(inverse(inverse(X_10)),multiply(inverse(X_10),multiply(X_10,X_11)))
| commutator(inverse(inverse(X_10)),multiply(X_10,X_11)) = commutator(inverse(inverse(X_10)),X_11) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(inverse(X_10)),multiply(X_10,X_11)),commutator(inverse(inverse(X_10)),multiply(inverse(X_10),multiply(X_10,X_11)))) ),[1,1],$fot(X_11)]]) ).
cnf(refute_0_439,plain,
( commutator(inverse(inverse(X_10)),multiply(X_10,X_11)) != commutator(inverse(inverse(X_10)),multiply(inverse(X_10),multiply(X_10,X_11)))
| commutator(inverse(inverse(X_10)),multiply(X_10,X_11)) = commutator(inverse(inverse(X_10)),X_11) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),multiply(X_10,X_11)),X_11) )],[refute_0_39,refute_0_438]) ).
cnf(refute_0_440,plain,
commutator(inverse(inverse(X_10)),multiply(X_10,X_11)) = commutator(inverse(inverse(X_10)),X_11),
inference(resolve,[$cnf( $equal(commutator(inverse(inverse(X_10)),multiply(X_10,X_11)),commutator(inverse(inverse(X_10)),multiply(inverse(X_10),multiply(X_10,X_11)))) )],[refute_0_437,refute_0_439]) ).
cnf(refute_0_441,plain,
inverse(inverse(X_10)) = X_10,
inference(subst,[],[refute_0_152:[bind(X_27,$fot(X_10))]]) ).
cnf(refute_0_442,plain,
commutator(inverse(inverse(X_10)),multiply(X_10,X_11)) = commutator(inverse(inverse(X_10)),multiply(X_10,X_11)),
introduced(tautology,[refl,[$fot(commutator(inverse(inverse(X_10)),multiply(X_10,X_11)))]]) ).
cnf(refute_0_443,plain,
( commutator(inverse(inverse(X_10)),multiply(X_10,X_11)) != commutator(inverse(inverse(X_10)),multiply(X_10,X_11))
| inverse(inverse(X_10)) != X_10
| commutator(inverse(inverse(X_10)),multiply(X_10,X_11)) = commutator(X_10,multiply(X_10,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(inverse(X_10)),multiply(X_10,X_11)),commutator(inverse(inverse(X_10)),multiply(X_10,X_11))) ),[1,0],$fot(X_10)]]) ).
cnf(refute_0_444,plain,
( inverse(inverse(X_10)) != X_10
| commutator(inverse(inverse(X_10)),multiply(X_10,X_11)) = commutator(X_10,multiply(X_10,X_11)) ),
inference(resolve,[$cnf( $equal(commutator(inverse(inverse(X_10)),multiply(X_10,X_11)),commutator(inverse(inverse(X_10)),multiply(X_10,X_11))) )],[refute_0_442,refute_0_443]) ).
cnf(refute_0_445,plain,
commutator(inverse(inverse(X_10)),multiply(X_10,X_11)) = commutator(X_10,multiply(X_10,X_11)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_10)),X_10) )],[refute_0_441,refute_0_444]) ).
cnf(refute_0_446,plain,
( commutator(inverse(inverse(X_10)),multiply(X_10,X_11)) != commutator(X_10,multiply(X_10,X_11))
| commutator(inverse(inverse(X_10)),multiply(X_10,X_11)) != commutator(inverse(inverse(X_10)),X_11)
| commutator(X_10,multiply(X_10,X_11)) = commutator(inverse(inverse(X_10)),X_11) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(inverse(X_10)),multiply(X_10,X_11)),commutator(inverse(inverse(X_10)),X_11)) ),[0],$fot(commutator(X_10,multiply(X_10,X_11)))]]) ).
cnf(refute_0_447,plain,
( commutator(inverse(inverse(X_10)),multiply(X_10,X_11)) != commutator(inverse(inverse(X_10)),X_11)
| commutator(X_10,multiply(X_10,X_11)) = commutator(inverse(inverse(X_10)),X_11) ),
inference(resolve,[$cnf( $equal(commutator(inverse(inverse(X_10)),multiply(X_10,X_11)),commutator(X_10,multiply(X_10,X_11))) )],[refute_0_445,refute_0_446]) ).
cnf(refute_0_448,plain,
commutator(inverse(inverse(X_10)),X_11) = commutator(inverse(inverse(X_10)),X_11),
introduced(tautology,[refl,[$fot(commutator(inverse(inverse(X_10)),X_11))]]) ).
cnf(refute_0_449,plain,
( commutator(inverse(inverse(X_10)),X_11) != commutator(inverse(inverse(X_10)),X_11)
| inverse(inverse(X_10)) != X_10
| commutator(inverse(inverse(X_10)),X_11) = commutator(X_10,X_11) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(inverse(X_10)),X_11),commutator(inverse(inverse(X_10)),X_11)) ),[1,0],$fot(X_10)]]) ).
cnf(refute_0_450,plain,
( inverse(inverse(X_10)) != X_10
| commutator(inverse(inverse(X_10)),X_11) = commutator(X_10,X_11) ),
inference(resolve,[$cnf( $equal(commutator(inverse(inverse(X_10)),X_11),commutator(inverse(inverse(X_10)),X_11)) )],[refute_0_448,refute_0_449]) ).
cnf(refute_0_451,plain,
commutator(inverse(inverse(X_10)),X_11) = commutator(X_10,X_11),
inference(resolve,[$cnf( $equal(inverse(inverse(X_10)),X_10) )],[refute_0_441,refute_0_450]) ).
cnf(refute_0_452,plain,
( commutator(X_10,multiply(X_10,X_11)) != commutator(inverse(inverse(X_10)),X_11)
| commutator(inverse(inverse(X_10)),X_11) != commutator(X_10,X_11)
| commutator(X_10,multiply(X_10,X_11)) = commutator(X_10,X_11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(X_10,multiply(X_10,X_11)),commutator(X_10,X_11)) ),[0],$fot(commutator(inverse(inverse(X_10)),X_11))]]) ).
cnf(refute_0_453,plain,
( commutator(X_10,multiply(X_10,X_11)) != commutator(inverse(inverse(X_10)),X_11)
| commutator(X_10,multiply(X_10,X_11)) = commutator(X_10,X_11) ),
inference(resolve,[$cnf( $equal(commutator(inverse(inverse(X_10)),X_11),commutator(X_10,X_11)) )],[refute_0_451,refute_0_452]) ).
cnf(refute_0_454,plain,
( commutator(inverse(inverse(X_10)),multiply(X_10,X_11)) != commutator(inverse(inverse(X_10)),X_11)
| commutator(X_10,multiply(X_10,X_11)) = commutator(X_10,X_11) ),
inference(resolve,[$cnf( $equal(commutator(X_10,multiply(X_10,X_11)),commutator(inverse(inverse(X_10)),X_11)) )],[refute_0_447,refute_0_453]) ).
cnf(refute_0_455,plain,
commutator(X_10,multiply(X_10,X_11)) = commutator(X_10,X_11),
inference(resolve,[$cnf( $equal(commutator(inverse(inverse(X_10)),multiply(X_10,X_11)),commutator(inverse(inverse(X_10)),X_11)) )],[refute_0_440,refute_0_454]) ).
cnf(refute_0_456,plain,
commutator(X_10,multiply(X_10,multiply(inverse(multiply(X_10,X_102)),X_102))) = commutator(X_10,multiply(inverse(multiply(X_10,X_102)),X_102)),
inference(subst,[],[refute_0_455:[bind(X_11,$fot(multiply(inverse(multiply(X_10,X_102)),X_102)))]]) ).
cnf(refute_0_457,plain,
( commutator(inverse(X_29),Y) != commutator(inverse(X_29),multiply(X_29,Y))
| commutator(inverse(X_29),multiply(X_29,Y)) = commutator(inverse(X_29),Y) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(inverse(X_29),Y))),bind(Y0,$fot(commutator(inverse(X_29),multiply(X_29,Y))))]]) ).
cnf(refute_0_458,plain,
commutator(inverse(X_29),multiply(X_29,Y)) = commutator(inverse(X_29),Y),
inference(resolve,[$cnf( $equal(commutator(inverse(X_29),Y),commutator(inverse(X_29),multiply(X_29,Y))) )],[refute_0_436,refute_0_457]) ).
cnf(refute_0_459,plain,
commutator(inverse(X_15),multiply(X_15,X_16)) = commutator(inverse(X_15),X_16),
inference(subst,[],[refute_0_458:[bind(Y,$fot(X_16)),bind(X_29,$fot(X_15))]]) ).
cnf(refute_0_460,plain,
( commutator(inverse(X_15),multiply(X_15,X_16)) != multiply(X_15,multiply(inverse(multiply(X_15,X_16)),X_16))
| commutator(inverse(X_15),multiply(X_15,X_16)) != commutator(inverse(X_15),X_16)
| commutator(inverse(X_15),X_16) = multiply(X_15,multiply(inverse(multiply(X_15,X_16)),X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(X_15),multiply(X_15,X_16)),multiply(X_15,multiply(inverse(multiply(X_15,X_16)),X_16))) ),[0],$fot(commutator(inverse(X_15),X_16))]]) ).
cnf(refute_0_461,plain,
( commutator(inverse(X_15),multiply(X_15,X_16)) != multiply(X_15,multiply(inverse(multiply(X_15,X_16)),X_16))
| commutator(inverse(X_15),X_16) = multiply(X_15,multiply(inverse(multiply(X_15,X_16)),X_16)) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_15),multiply(X_15,X_16)),commutator(inverse(X_15),X_16)) )],[refute_0_459,refute_0_460]) ).
cnf(refute_0_462,plain,
commutator(inverse(X_15),X_16) = multiply(X_15,multiply(inverse(multiply(X_15,X_16)),X_16)),
inference(resolve,[$cnf( $equal(commutator(inverse(X_15),multiply(X_15,X_16)),multiply(X_15,multiply(inverse(multiply(X_15,X_16)),X_16))) )],[refute_0_422,refute_0_461]) ).
cnf(refute_0_463,plain,
commutator(inverse(X_10),X_102) = multiply(X_10,multiply(inverse(multiply(X_10,X_102)),X_102)),
inference(subst,[],[refute_0_462:[bind(X_15,$fot(X_10)),bind(X_16,$fot(X_102))]]) ).
cnf(refute_0_464,plain,
( commutator(inverse(X_10),X_102) != multiply(X_10,multiply(inverse(multiply(X_10,X_102)),X_102))
| multiply(X_10,multiply(inverse(multiply(X_10,X_102)),X_102)) = commutator(inverse(X_10),X_102) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(inverse(X_10),X_102))),bind(Y0,$fot(multiply(X_10,multiply(inverse(multiply(X_10,X_102)),X_102))))]]) ).
cnf(refute_0_465,plain,
multiply(X_10,multiply(inverse(multiply(X_10,X_102)),X_102)) = commutator(inverse(X_10),X_102),
inference(resolve,[$cnf( $equal(commutator(inverse(X_10),X_102),multiply(X_10,multiply(inverse(multiply(X_10,X_102)),X_102))) )],[refute_0_463,refute_0_464]) ).
cnf(refute_0_466,plain,
( multiply(X_10,multiply(inverse(multiply(X_10,X_102)),X_102)) != commutator(inverse(X_10),X_102)
| commutator(X_10,multiply(X_10,multiply(inverse(multiply(X_10,X_102)),X_102))) != commutator(X_10,multiply(inverse(multiply(X_10,X_102)),X_102))
| commutator(X_10,commutator(inverse(X_10),X_102)) = commutator(X_10,multiply(inverse(multiply(X_10,X_102)),X_102)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_10,multiply(X_10,multiply(inverse(multiply(X_10,X_102)),X_102))),commutator(X_10,multiply(inverse(multiply(X_10,X_102)),X_102))) ),[0,1],$fot(commutator(inverse(X_10),X_102))]]) ).
cnf(refute_0_467,plain,
( commutator(X_10,multiply(X_10,multiply(inverse(multiply(X_10,X_102)),X_102))) != commutator(X_10,multiply(inverse(multiply(X_10,X_102)),X_102))
| commutator(X_10,commutator(inverse(X_10),X_102)) = commutator(X_10,multiply(inverse(multiply(X_10,X_102)),X_102)) ),
inference(resolve,[$cnf( $equal(multiply(X_10,multiply(inverse(multiply(X_10,X_102)),X_102)),commutator(inverse(X_10),X_102)) )],[refute_0_465,refute_0_466]) ).
cnf(refute_0_468,plain,
commutator(X_10,commutator(inverse(X_10),X_102)) = commutator(X_10,multiply(inverse(multiply(X_10,X_102)),X_102)),
inference(resolve,[$cnf( $equal(commutator(X_10,multiply(X_10,multiply(inverse(multiply(X_10,X_102)),X_102))),commutator(X_10,multiply(inverse(multiply(X_10,X_102)),X_102))) )],[refute_0_456,refute_0_467]) ).
cnf(refute_0_469,plain,
( identity != commutator(X,commutator(inverse(X),Z))
| commutator(X,commutator(inverse(X),Z)) = identity ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(identity)),bind(Y0,$fot(commutator(X,commutator(inverse(X),Z))))]]) ).
cnf(refute_0_470,plain,
commutator(X,commutator(inverse(X),Z)) = identity,
inference(resolve,[$cnf( $equal(identity,commutator(X,commutator(inverse(X),Z))) )],[refute_0_353,refute_0_469]) ).
cnf(refute_0_471,plain,
commutator(X_10,commutator(inverse(X_10),X_102)) = identity,
inference(subst,[],[refute_0_470:[bind(X,$fot(X_10)),bind(Z,$fot(X_102))]]) ).
cnf(refute_0_472,plain,
( commutator(X_10,commutator(inverse(X_10),X_102)) != commutator(X_10,multiply(inverse(multiply(X_10,X_102)),X_102))
| commutator(X_10,commutator(inverse(X_10),X_102)) != identity
| identity = commutator(X_10,multiply(inverse(multiply(X_10,X_102)),X_102)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_10,commutator(inverse(X_10),X_102)),commutator(X_10,multiply(inverse(multiply(X_10,X_102)),X_102))) ),[0],$fot(identity)]]) ).
cnf(refute_0_473,plain,
( commutator(X_10,commutator(inverse(X_10),X_102)) != commutator(X_10,multiply(inverse(multiply(X_10,X_102)),X_102))
| identity = commutator(X_10,multiply(inverse(multiply(X_10,X_102)),X_102)) ),
inference(resolve,[$cnf( $equal(commutator(X_10,commutator(inverse(X_10),X_102)),identity) )],[refute_0_471,refute_0_472]) ).
cnf(refute_0_474,plain,
identity = commutator(X_10,multiply(inverse(multiply(X_10,X_102)),X_102)),
inference(resolve,[$cnf( $equal(commutator(X_10,commutator(inverse(X_10),X_102)),commutator(X_10,multiply(inverse(multiply(X_10,X_102)),X_102))) )],[refute_0_468,refute_0_473]) ).
cnf(refute_0_475,plain,
identity = commutator(inverse(X_10),multiply(inverse(multiply(inverse(X_10),multiply(X_10,X_11))),multiply(X_10,X_11))),
inference(subst,[],[refute_0_474:[bind(X_10,$fot(inverse(X_10))),bind(X_102,$fot(multiply(X_10,X_11)))]]) ).
cnf(refute_0_476,plain,
( multiply(inverse(X_10),multiply(X_10,X_11)) != X_11
| identity != commutator(inverse(X_10),multiply(inverse(multiply(inverse(X_10),multiply(X_10,X_11))),multiply(X_10,X_11)))
| identity = commutator(inverse(X_10),multiply(inverse(X_11),multiply(X_10,X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(inverse(X_10),multiply(inverse(multiply(inverse(X_10),multiply(X_10,X_11))),multiply(X_10,X_11)))) ),[1,1,0,0],$fot(X_11)]]) ).
cnf(refute_0_477,plain,
( identity != commutator(inverse(X_10),multiply(inverse(multiply(inverse(X_10),multiply(X_10,X_11))),multiply(X_10,X_11)))
| identity = commutator(inverse(X_10),multiply(inverse(X_11),multiply(X_10,X_11))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),multiply(X_10,X_11)),X_11) )],[refute_0_39,refute_0_476]) ).
cnf(refute_0_478,plain,
identity = commutator(inverse(X_10),multiply(inverse(X_11),multiply(X_10,X_11))),
inference(resolve,[$cnf( $equal(identity,commutator(inverse(X_10),multiply(inverse(multiply(inverse(X_10),multiply(X_10,X_11))),multiply(X_10,X_11)))) )],[refute_0_475,refute_0_477]) ).
cnf(refute_0_479,plain,
commutator(inverse(X_5),multiply(inverse(X_6),multiply(X_5,X_6))) = multiply(inverse(inverse(X_5)),multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),multiply(inverse(X_5),multiply(inverse(X_6),multiply(X_5,X_6))))),
inference(subst,[],[name:[bind(X,$fot(inverse(X_5))),bind(Y,$fot(multiply(inverse(X_6),multiply(X_5,X_6))))]]) ).
cnf(refute_0_480,plain,
commutator(X_5,X_6) = multiply(inverse(X_5),multiply(inverse(X_6),multiply(X_5,X_6))),
inference(subst,[],[name:[bind(X,$fot(X_5)),bind(Y,$fot(X_6))]]) ).
cnf(refute_0_481,plain,
( commutator(X_5,X_6) != multiply(inverse(X_5),multiply(inverse(X_6),multiply(X_5,X_6)))
| multiply(inverse(X_5),multiply(inverse(X_6),multiply(X_5,X_6))) = commutator(X_5,X_6) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_5,X_6))),bind(Y0,$fot(multiply(inverse(X_5),multiply(inverse(X_6),multiply(X_5,X_6)))))]]) ).
cnf(refute_0_482,plain,
multiply(inverse(X_5),multiply(inverse(X_6),multiply(X_5,X_6))) = commutator(X_5,X_6),
inference(resolve,[$cnf( $equal(commutator(X_5,X_6),multiply(inverse(X_5),multiply(inverse(X_6),multiply(X_5,X_6)))) )],[refute_0_480,refute_0_481]) ).
cnf(refute_0_483,plain,
( multiply(inverse(X_5),multiply(inverse(X_6),multiply(X_5,X_6))) != commutator(X_5,X_6)
| commutator(inverse(X_5),multiply(inverse(X_6),multiply(X_5,X_6))) != multiply(inverse(inverse(X_5)),multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),multiply(inverse(X_5),multiply(inverse(X_6),multiply(X_5,X_6)))))
| commutator(inverse(X_5),multiply(inverse(X_6),multiply(X_5,X_6))) = multiply(inverse(inverse(X_5)),multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(X_5),multiply(inverse(X_6),multiply(X_5,X_6))),multiply(inverse(inverse(X_5)),multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),multiply(inverse(X_5),multiply(inverse(X_6),multiply(X_5,X_6)))))) ),[1,1,1],$fot(commutator(X_5,X_6))]]) ).
cnf(refute_0_484,plain,
( commutator(inverse(X_5),multiply(inverse(X_6),multiply(X_5,X_6))) != multiply(inverse(inverse(X_5)),multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),multiply(inverse(X_5),multiply(inverse(X_6),multiply(X_5,X_6)))))
| commutator(inverse(X_5),multiply(inverse(X_6),multiply(X_5,X_6))) = multiply(inverse(inverse(X_5)),multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_5),multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6)) )],[refute_0_482,refute_0_483]) ).
cnf(refute_0_485,plain,
commutator(inverse(X_5),multiply(inverse(X_6),multiply(X_5,X_6))) = multiply(inverse(inverse(X_5)),multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6))),
inference(resolve,[$cnf( $equal(commutator(inverse(X_5),multiply(inverse(X_6),multiply(X_5,X_6))),multiply(inverse(inverse(X_5)),multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),multiply(inverse(X_5),multiply(inverse(X_6),multiply(X_5,X_6)))))) )],[refute_0_479,refute_0_484]) ).
cnf(refute_0_486,plain,
multiply(inverse(inverse(X_5)),multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6))) = multiply(X_5,multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6))),
inference(subst,[],[refute_0_94:[bind(X_15,$fot(X_5)),bind(X_16,$fot(multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6))))]]) ).
cnf(refute_0_487,plain,
( multiply(inverse(inverse(X_5)),multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6))) != multiply(X_5,multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6)))
| commutator(inverse(X_5),multiply(inverse(X_6),multiply(X_5,X_6))) != multiply(inverse(inverse(X_5)),multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6)))
| commutator(inverse(X_5),multiply(inverse(X_6),multiply(X_5,X_6))) = multiply(X_5,multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(X_5),multiply(inverse(X_6),multiply(X_5,X_6))),multiply(inverse(inverse(X_5)),multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6)))) ),[1],$fot(multiply(X_5,multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6))))]]) ).
cnf(refute_0_488,plain,
( commutator(inverse(X_5),multiply(inverse(X_6),multiply(X_5,X_6))) != multiply(inverse(inverse(X_5)),multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6)))
| commutator(inverse(X_5),multiply(inverse(X_6),multiply(X_5,X_6))) = multiply(X_5,multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_5)),multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6))),multiply(X_5,multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6)))) )],[refute_0_486,refute_0_487]) ).
cnf(refute_0_489,plain,
commutator(inverse(X_5),multiply(inverse(X_6),multiply(X_5,X_6))) = multiply(X_5,multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6))),
inference(resolve,[$cnf( $equal(commutator(inverse(X_5),multiply(inverse(X_6),multiply(X_5,X_6))),multiply(inverse(inverse(X_5)),multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6)))) )],[refute_0_485,refute_0_488]) ).
cnf(refute_0_490,plain,
multiply(multiply(inverse(multiply(X_5,X_6)),X_6),commutator(X_5,X_6)) = multiply(inverse(multiply(X_5,X_6)),multiply(X_6,commutator(X_5,X_6))),
inference(subst,[],[associativity:[bind(X,$fot(inverse(multiply(X_5,X_6)))),bind(Y,$fot(X_6)),bind(Z,$fot(commutator(X_5,X_6)))]]) ).
cnf(refute_0_491,plain,
inverse(multiply(inverse(X_6),multiply(X_5,X_6))) = multiply(inverse(multiply(X_5,X_6)),X_6),
inference(subst,[],[refute_0_294:[bind(Z,$fot(multiply(X_5,X_6))),bind(X_61,$fot(X_6))]]) ).
cnf(refute_0_492,plain,
multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6)) = multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6)),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6)))]]) ).
cnf(refute_0_493,plain,
( multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6)) != multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6))
| inverse(multiply(inverse(X_6),multiply(X_5,X_6))) != multiply(inverse(multiply(X_5,X_6)),X_6)
| multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6)) = multiply(multiply(inverse(multiply(X_5,X_6)),X_6),commutator(X_5,X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6)),multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6))) ),[1,0],$fot(multiply(inverse(multiply(X_5,X_6)),X_6))]]) ).
cnf(refute_0_494,plain,
( inverse(multiply(inverse(X_6),multiply(X_5,X_6))) != multiply(inverse(multiply(X_5,X_6)),X_6)
| multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6)) = multiply(multiply(inverse(multiply(X_5,X_6)),X_6),commutator(X_5,X_6)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6)),multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6))) )],[refute_0_492,refute_0_493]) ).
cnf(refute_0_495,plain,
multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6)) = multiply(multiply(inverse(multiply(X_5,X_6)),X_6),commutator(X_5,X_6)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),multiply(inverse(multiply(X_5,X_6)),X_6)) )],[refute_0_491,refute_0_494]) ).
cnf(refute_0_496,plain,
( multiply(multiply(inverse(multiply(X_5,X_6)),X_6),commutator(X_5,X_6)) != multiply(inverse(multiply(X_5,X_6)),multiply(X_6,commutator(X_5,X_6)))
| multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6)) != multiply(multiply(inverse(multiply(X_5,X_6)),X_6),commutator(X_5,X_6))
| multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6)) = multiply(inverse(multiply(X_5,X_6)),multiply(X_6,commutator(X_5,X_6))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6)))),bind(Y0,$fot(multiply(multiply(inverse(multiply(X_5,X_6)),X_6),commutator(X_5,X_6)))),bind(Z0,$fot(multiply(inverse(multiply(X_5,X_6)),multiply(X_6,commutator(X_5,X_6)))))]]) ).
cnf(refute_0_497,plain,
( multiply(multiply(inverse(multiply(X_5,X_6)),X_6),commutator(X_5,X_6)) != multiply(inverse(multiply(X_5,X_6)),multiply(X_6,commutator(X_5,X_6)))
| multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6)) = multiply(inverse(multiply(X_5,X_6)),multiply(X_6,commutator(X_5,X_6))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6)),multiply(multiply(inverse(multiply(X_5,X_6)),X_6),commutator(X_5,X_6))) )],[refute_0_495,refute_0_496]) ).
cnf(refute_0_498,plain,
multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6)) = multiply(inverse(multiply(X_5,X_6)),multiply(X_6,commutator(X_5,X_6))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(X_5,X_6)),X_6),commutator(X_5,X_6)),multiply(inverse(multiply(X_5,X_6)),multiply(X_6,commutator(X_5,X_6)))) )],[refute_0_490,refute_0_497]) ).
cnf(refute_0_499,plain,
multiply(X_5,multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6))) = multiply(X_5,multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6))),
introduced(tautology,[refl,[$fot(multiply(X_5,multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6))))]]) ).
cnf(refute_0_500,plain,
( multiply(X_5,multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6))) != multiply(X_5,multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6)))
| multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6)) != multiply(inverse(multiply(X_5,X_6)),multiply(X_6,commutator(X_5,X_6)))
| multiply(X_5,multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6))) = multiply(X_5,multiply(inverse(multiply(X_5,X_6)),multiply(X_6,commutator(X_5,X_6)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_5,multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6))),multiply(X_5,multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6)))) ),[1,1],$fot(multiply(inverse(multiply(X_5,X_6)),multiply(X_6,commutator(X_5,X_6))))]]) ).
cnf(refute_0_501,plain,
( multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6)) != multiply(inverse(multiply(X_5,X_6)),multiply(X_6,commutator(X_5,X_6)))
| multiply(X_5,multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6))) = multiply(X_5,multiply(inverse(multiply(X_5,X_6)),multiply(X_6,commutator(X_5,X_6)))) ),
inference(resolve,[$cnf( $equal(multiply(X_5,multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6))),multiply(X_5,multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6)))) )],[refute_0_499,refute_0_500]) ).
cnf(refute_0_502,plain,
multiply(X_5,multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6))) = multiply(X_5,multiply(inverse(multiply(X_5,X_6)),multiply(X_6,commutator(X_5,X_6)))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6)),multiply(inverse(multiply(X_5,X_6)),multiply(X_6,commutator(X_5,X_6)))) )],[refute_0_498,refute_0_501]) ).
cnf(refute_0_503,plain,
( multiply(X_5,multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6))) != multiply(X_5,multiply(inverse(multiply(X_5,X_6)),multiply(X_6,commutator(X_5,X_6))))
| commutator(inverse(X_5),multiply(inverse(X_6),multiply(X_5,X_6))) != multiply(X_5,multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6)))
| commutator(inverse(X_5),multiply(inverse(X_6),multiply(X_5,X_6))) = multiply(X_5,multiply(inverse(multiply(X_5,X_6)),multiply(X_6,commutator(X_5,X_6)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(X_5),multiply(inverse(X_6),multiply(X_5,X_6))),multiply(X_5,multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6)))) ),[1],$fot(multiply(X_5,multiply(inverse(multiply(X_5,X_6)),multiply(X_6,commutator(X_5,X_6)))))]]) ).
cnf(refute_0_504,plain,
( commutator(inverse(X_5),multiply(inverse(X_6),multiply(X_5,X_6))) != multiply(X_5,multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6)))
| commutator(inverse(X_5),multiply(inverse(X_6),multiply(X_5,X_6))) = multiply(X_5,multiply(inverse(multiply(X_5,X_6)),multiply(X_6,commutator(X_5,X_6)))) ),
inference(resolve,[$cnf( $equal(multiply(X_5,multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6))),multiply(X_5,multiply(inverse(multiply(X_5,X_6)),multiply(X_6,commutator(X_5,X_6))))) )],[refute_0_502,refute_0_503]) ).
cnf(refute_0_505,plain,
commutator(inverse(X_5),multiply(inverse(X_6),multiply(X_5,X_6))) = multiply(X_5,multiply(inverse(multiply(X_5,X_6)),multiply(X_6,commutator(X_5,X_6)))),
inference(resolve,[$cnf( $equal(commutator(inverse(X_5),multiply(inverse(X_6),multiply(X_5,X_6))),multiply(X_5,multiply(inverse(multiply(inverse(X_6),multiply(X_5,X_6))),commutator(X_5,X_6)))) )],[refute_0_489,refute_0_504]) ).
cnf(refute_0_506,plain,
multiply(multiply(X,multiply(inverse(X_40),multiply(inverse(X),X_40))),Z) = multiply(X,multiply(multiply(inverse(X_40),multiply(inverse(X),X_40)),Z)),
inference(subst,[],[associativity:[bind(Y,$fot(multiply(inverse(X_40),multiply(inverse(X),X_40))))]]) ).
cnf(refute_0_507,plain,
commutator(inverse(X),X_40) = multiply(X,multiply(inverse(X_40),multiply(inverse(X),X_40))),
inference(subst,[],[refute_0_414:[bind(Y,$fot(X_40)),bind(X_29,$fot(X))]]) ).
cnf(refute_0_508,plain,
( commutator(inverse(X),X_40) != multiply(X,multiply(inverse(X_40),multiply(inverse(X),X_40)))
| multiply(X,multiply(inverse(X_40),multiply(inverse(X),X_40))) = commutator(inverse(X),X_40) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(inverse(X),X_40))),bind(Y0,$fot(multiply(X,multiply(inverse(X_40),multiply(inverse(X),X_40)))))]]) ).
cnf(refute_0_509,plain,
multiply(X,multiply(inverse(X_40),multiply(inverse(X),X_40))) = commutator(inverse(X),X_40),
inference(resolve,[$cnf( $equal(commutator(inverse(X),X_40),multiply(X,multiply(inverse(X_40),multiply(inverse(X),X_40)))) )],[refute_0_507,refute_0_508]) ).
cnf(refute_0_510,plain,
( multiply(X,multiply(inverse(X_40),multiply(inverse(X),X_40))) != commutator(inverse(X),X_40)
| multiply(multiply(X,multiply(inverse(X_40),multiply(inverse(X),X_40))),Z) != multiply(X,multiply(multiply(inverse(X_40),multiply(inverse(X),X_40)),Z))
| multiply(commutator(inverse(X),X_40),Z) = multiply(X,multiply(multiply(inverse(X_40),multiply(inverse(X),X_40)),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X,multiply(inverse(X_40),multiply(inverse(X),X_40))),Z),multiply(X,multiply(multiply(inverse(X_40),multiply(inverse(X),X_40)),Z))) ),[0,0],$fot(commutator(inverse(X),X_40))]]) ).
cnf(refute_0_511,plain,
( multiply(multiply(X,multiply(inverse(X_40),multiply(inverse(X),X_40))),Z) != multiply(X,multiply(multiply(inverse(X_40),multiply(inverse(X),X_40)),Z))
| multiply(commutator(inverse(X),X_40),Z) = multiply(X,multiply(multiply(inverse(X_40),multiply(inverse(X),X_40)),Z)) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(inverse(X_40),multiply(inverse(X),X_40))),commutator(inverse(X),X_40)) )],[refute_0_509,refute_0_510]) ).
cnf(refute_0_512,plain,
multiply(commutator(inverse(X),X_40),Z) = multiply(X,multiply(multiply(inverse(X_40),multiply(inverse(X),X_40)),Z)),
inference(resolve,[$cnf( $equal(multiply(multiply(X,multiply(inverse(X_40),multiply(inverse(X),X_40))),Z),multiply(X,multiply(multiply(inverse(X_40),multiply(inverse(X),X_40)),Z))) )],[refute_0_506,refute_0_511]) ).
cnf(refute_0_513,plain,
multiply(multiply(inverse(X),X_40),Z) = multiply(inverse(X),multiply(X_40,Z)),
inference(subst,[],[associativity:[bind(X,$fot(inverse(X))),bind(Y,$fot(X_40))]]) ).
cnf(refute_0_514,plain,
multiply(inverse(X_40),multiply(multiply(inverse(X),X_40),Z)) = multiply(inverse(X_40),multiply(multiply(inverse(X),X_40),Z)),
introduced(tautology,[refl,[$fot(multiply(inverse(X_40),multiply(multiply(inverse(X),X_40),Z)))]]) ).
cnf(refute_0_515,plain,
( multiply(multiply(inverse(X),X_40),Z) != multiply(inverse(X),multiply(X_40,Z))
| multiply(inverse(X_40),multiply(multiply(inverse(X),X_40),Z)) != multiply(inverse(X_40),multiply(multiply(inverse(X),X_40),Z))
| multiply(inverse(X_40),multiply(multiply(inverse(X),X_40),Z)) = multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_40),multiply(multiply(inverse(X),X_40),Z)),multiply(inverse(X_40),multiply(multiply(inverse(X),X_40),Z))) ),[1,1],$fot(multiply(inverse(X),multiply(X_40,Z)))]]) ).
cnf(refute_0_516,plain,
( multiply(multiply(inverse(X),X_40),Z) != multiply(inverse(X),multiply(X_40,Z))
| multiply(inverse(X_40),multiply(multiply(inverse(X),X_40),Z)) = multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_40),multiply(multiply(inverse(X),X_40),Z)),multiply(inverse(X_40),multiply(multiply(inverse(X),X_40),Z))) )],[refute_0_514,refute_0_515]) ).
cnf(refute_0_517,plain,
multiply(inverse(X_40),multiply(multiply(inverse(X),X_40),Z)) = multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X),X_40),Z),multiply(inverse(X),multiply(X_40,Z))) )],[refute_0_513,refute_0_516]) ).
cnf(refute_0_518,plain,
multiply(multiply(inverse(X_40),multiply(inverse(X),X_40)),Z) = multiply(inverse(X_40),multiply(multiply(inverse(X),X_40),Z)),
inference(subst,[],[associativity:[bind(X,$fot(inverse(X_40))),bind(Y,$fot(multiply(inverse(X),X_40)))]]) ).
cnf(refute_0_519,plain,
( multiply(multiply(inverse(X_40),multiply(inverse(X),X_40)),Z) != multiply(inverse(X_40),multiply(multiply(inverse(X),X_40),Z))
| multiply(inverse(X_40),multiply(multiply(inverse(X),X_40),Z)) != multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z)))
| multiply(multiply(inverse(X_40),multiply(inverse(X),X_40)),Z) = multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(inverse(X_40),multiply(inverse(X),X_40)),Z))),bind(Y0,$fot(multiply(inverse(X_40),multiply(multiply(inverse(X),X_40),Z)))),bind(Z0,$fot(multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z)))))]]) ).
cnf(refute_0_520,plain,
( multiply(inverse(X_40),multiply(multiply(inverse(X),X_40),Z)) != multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z)))
| multiply(multiply(inverse(X_40),multiply(inverse(X),X_40)),Z) = multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_40),multiply(inverse(X),X_40)),Z),multiply(inverse(X_40),multiply(multiply(inverse(X),X_40),Z))) )],[refute_0_518,refute_0_519]) ).
cnf(refute_0_521,plain,
multiply(multiply(inverse(X_40),multiply(inverse(X),X_40)),Z) = multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_40),multiply(multiply(inverse(X),X_40),Z)),multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z)))) )],[refute_0_517,refute_0_520]) ).
cnf(refute_0_522,plain,
multiply(X,multiply(multiply(inverse(X_40),multiply(inverse(X),X_40)),Z)) = multiply(X,multiply(multiply(inverse(X_40),multiply(inverse(X),X_40)),Z)),
introduced(tautology,[refl,[$fot(multiply(X,multiply(multiply(inverse(X_40),multiply(inverse(X),X_40)),Z)))]]) ).
cnf(refute_0_523,plain,
( multiply(X,multiply(multiply(inverse(X_40),multiply(inverse(X),X_40)),Z)) != multiply(X,multiply(multiply(inverse(X_40),multiply(inverse(X),X_40)),Z))
| multiply(multiply(inverse(X_40),multiply(inverse(X),X_40)),Z) != multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z)))
| multiply(X,multiply(multiply(inverse(X_40),multiply(inverse(X),X_40)),Z)) = multiply(X,multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(multiply(inverse(X_40),multiply(inverse(X),X_40)),Z)),multiply(X,multiply(multiply(inverse(X_40),multiply(inverse(X),X_40)),Z))) ),[1,1],$fot(multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z))))]]) ).
cnf(refute_0_524,plain,
( multiply(multiply(inverse(X_40),multiply(inverse(X),X_40)),Z) != multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z)))
| multiply(X,multiply(multiply(inverse(X_40),multiply(inverse(X),X_40)),Z)) = multiply(X,multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z)))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(inverse(X_40),multiply(inverse(X),X_40)),Z)),multiply(X,multiply(multiply(inverse(X_40),multiply(inverse(X),X_40)),Z))) )],[refute_0_522,refute_0_523]) ).
cnf(refute_0_525,plain,
multiply(X,multiply(multiply(inverse(X_40),multiply(inverse(X),X_40)),Z)) = multiply(X,multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z)))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_40),multiply(inverse(X),X_40)),Z),multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z)))) )],[refute_0_521,refute_0_524]) ).
cnf(refute_0_526,plain,
( multiply(X,multiply(multiply(inverse(X_40),multiply(inverse(X),X_40)),Z)) != multiply(X,multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z))))
| multiply(commutator(inverse(X),X_40),Z) != multiply(X,multiply(multiply(inverse(X_40),multiply(inverse(X),X_40)),Z))
| multiply(commutator(inverse(X),X_40),Z) = multiply(X,multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(inverse(X),X_40),Z),multiply(X,multiply(multiply(inverse(X_40),multiply(inverse(X),X_40)),Z))) ),[1],$fot(multiply(X,multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z)))))]]) ).
cnf(refute_0_527,plain,
( multiply(commutator(inverse(X),X_40),Z) != multiply(X,multiply(multiply(inverse(X_40),multiply(inverse(X),X_40)),Z))
| multiply(commutator(inverse(X),X_40),Z) = multiply(X,multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z)))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(inverse(X_40),multiply(inverse(X),X_40)),Z)),multiply(X,multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z))))) )],[refute_0_525,refute_0_526]) ).
cnf(refute_0_528,plain,
multiply(commutator(inverse(X),X_40),Z) = multiply(X,multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z)))),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(X),X_40),Z),multiply(X,multiply(multiply(inverse(X_40),multiply(inverse(X),X_40)),Z))) )],[refute_0_512,refute_0_527]) ).
cnf(refute_0_529,plain,
multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z))) = multiply(inverse(multiply(X,X_40)),multiply(X_40,Z)),
inference(subst,[],[refute_0_242:[bind(Z,$fot(multiply(X_40,Z))),bind(X_62,$fot(X_40)),bind(X_63,$fot(X))]]) ).
cnf(refute_0_530,plain,
multiply(X,multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z)))) = multiply(X,multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z)))),
introduced(tautology,[refl,[$fot(multiply(X,multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z)))))]]) ).
cnf(refute_0_531,plain,
( multiply(X,multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z)))) != multiply(X,multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z))))
| multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z))) != multiply(inverse(multiply(X,X_40)),multiply(X_40,Z))
| multiply(X,multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z)))) = multiply(X,multiply(inverse(multiply(X,X_40)),multiply(X_40,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z)))),multiply(X,multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z))))) ),[1,1],$fot(multiply(inverse(multiply(X,X_40)),multiply(X_40,Z)))]]) ).
cnf(refute_0_532,plain,
( multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z))) != multiply(inverse(multiply(X,X_40)),multiply(X_40,Z))
| multiply(X,multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z)))) = multiply(X,multiply(inverse(multiply(X,X_40)),multiply(X_40,Z))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z)))),multiply(X,multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z))))) )],[refute_0_530,refute_0_531]) ).
cnf(refute_0_533,plain,
multiply(X,multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z)))) = multiply(X,multiply(inverse(multiply(X,X_40)),multiply(X_40,Z))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z))),multiply(inverse(multiply(X,X_40)),multiply(X_40,Z))) )],[refute_0_529,refute_0_532]) ).
cnf(refute_0_534,plain,
( multiply(X,multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z)))) != multiply(X,multiply(inverse(multiply(X,X_40)),multiply(X_40,Z)))
| multiply(commutator(inverse(X),X_40),Z) != multiply(X,multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z))))
| multiply(commutator(inverse(X),X_40),Z) = multiply(X,multiply(inverse(multiply(X,X_40)),multiply(X_40,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(inverse(X),X_40),Z),multiply(X,multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z))))) ),[1],$fot(multiply(X,multiply(inverse(multiply(X,X_40)),multiply(X_40,Z))))]]) ).
cnf(refute_0_535,plain,
( multiply(commutator(inverse(X),X_40),Z) != multiply(X,multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z))))
| multiply(commutator(inverse(X),X_40),Z) = multiply(X,multiply(inverse(multiply(X,X_40)),multiply(X_40,Z))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z)))),multiply(X,multiply(inverse(multiply(X,X_40)),multiply(X_40,Z)))) )],[refute_0_533,refute_0_534]) ).
cnf(refute_0_536,plain,
multiply(commutator(inverse(X),X_40),Z) = multiply(X,multiply(inverse(multiply(X,X_40)),multiply(X_40,Z))),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(X),X_40),Z),multiply(X,multiply(inverse(X_40),multiply(inverse(X),multiply(X_40,Z))))) )],[refute_0_528,refute_0_535]) ).
cnf(refute_0_537,plain,
( multiply(commutator(inverse(X),X_40),Z) != multiply(X,multiply(inverse(multiply(X,X_40)),multiply(X_40,Z)))
| multiply(X,multiply(inverse(multiply(X,X_40)),multiply(X_40,Z))) = multiply(commutator(inverse(X),X_40),Z) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(commutator(inverse(X),X_40),Z))),bind(Y0,$fot(multiply(X,multiply(inverse(multiply(X,X_40)),multiply(X_40,Z)))))]]) ).
cnf(refute_0_538,plain,
multiply(X,multiply(inverse(multiply(X,X_40)),multiply(X_40,Z))) = multiply(commutator(inverse(X),X_40),Z),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(X),X_40),Z),multiply(X,multiply(inverse(multiply(X,X_40)),multiply(X_40,Z)))) )],[refute_0_536,refute_0_537]) ).
cnf(refute_0_539,plain,
multiply(X_5,multiply(inverse(multiply(X_5,X_6)),multiply(X_6,commutator(X_5,X_6)))) = multiply(commutator(inverse(X_5),X_6),commutator(X_5,X_6)),
inference(subst,[],[refute_0_538:[bind(X,$fot(X_5)),bind(Z,$fot(commutator(X_5,X_6))),bind(X_40,$fot(X_6))]]) ).
cnf(refute_0_540,plain,
( multiply(X_5,multiply(inverse(multiply(X_5,X_6)),multiply(X_6,commutator(X_5,X_6)))) != multiply(commutator(inverse(X_5),X_6),commutator(X_5,X_6))
| commutator(inverse(X_5),multiply(inverse(X_6),multiply(X_5,X_6))) != multiply(X_5,multiply(inverse(multiply(X_5,X_6)),multiply(X_6,commutator(X_5,X_6))))
| commutator(inverse(X_5),multiply(inverse(X_6),multiply(X_5,X_6))) = multiply(commutator(inverse(X_5),X_6),commutator(X_5,X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(X_5),multiply(inverse(X_6),multiply(X_5,X_6))),multiply(X_5,multiply(inverse(multiply(X_5,X_6)),multiply(X_6,commutator(X_5,X_6))))) ),[1],$fot(multiply(commutator(inverse(X_5),X_6),commutator(X_5,X_6)))]]) ).
cnf(refute_0_541,plain,
( commutator(inverse(X_5),multiply(inverse(X_6),multiply(X_5,X_6))) != multiply(X_5,multiply(inverse(multiply(X_5,X_6)),multiply(X_6,commutator(X_5,X_6))))
| commutator(inverse(X_5),multiply(inverse(X_6),multiply(X_5,X_6))) = multiply(commutator(inverse(X_5),X_6),commutator(X_5,X_6)) ),
inference(resolve,[$cnf( $equal(multiply(X_5,multiply(inverse(multiply(X_5,X_6)),multiply(X_6,commutator(X_5,X_6)))),multiply(commutator(inverse(X_5),X_6),commutator(X_5,X_6))) )],[refute_0_539,refute_0_540]) ).
cnf(refute_0_542,plain,
commutator(inverse(X_5),multiply(inverse(X_6),multiply(X_5,X_6))) = multiply(commutator(inverse(X_5),X_6),commutator(X_5,X_6)),
inference(resolve,[$cnf( $equal(commutator(inverse(X_5),multiply(inverse(X_6),multiply(X_5,X_6))),multiply(X_5,multiply(inverse(multiply(X_5,X_6)),multiply(X_6,commutator(X_5,X_6))))) )],[refute_0_505,refute_0_541]) ).
cnf(refute_0_543,plain,
commutator(inverse(X_10),multiply(inverse(X_11),multiply(X_10,X_11))) = multiply(commutator(inverse(X_10),X_11),commutator(X_10,X_11)),
inference(subst,[],[refute_0_542:[bind(X_5,$fot(X_10)),bind(X_6,$fot(X_11))]]) ).
cnf(refute_0_544,plain,
( commutator(inverse(X_10),multiply(inverse(X_11),multiply(X_10,X_11))) != multiply(commutator(inverse(X_10),X_11),commutator(X_10,X_11))
| identity != commutator(inverse(X_10),multiply(inverse(X_11),multiply(X_10,X_11)))
| identity = multiply(commutator(inverse(X_10),X_11),commutator(X_10,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(inverse(X_10),multiply(inverse(X_11),multiply(X_10,X_11)))) ),[1],$fot(multiply(commutator(inverse(X_10),X_11),commutator(X_10,X_11)))]]) ).
cnf(refute_0_545,plain,
( identity != commutator(inverse(X_10),multiply(inverse(X_11),multiply(X_10,X_11)))
| identity = multiply(commutator(inverse(X_10),X_11),commutator(X_10,X_11)) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_10),multiply(inverse(X_11),multiply(X_10,X_11))),multiply(commutator(inverse(X_10),X_11),commutator(X_10,X_11))) )],[refute_0_543,refute_0_544]) ).
cnf(refute_0_546,plain,
identity = multiply(commutator(inverse(X_10),X_11),commutator(X_10,X_11)),
inference(resolve,[$cnf( $equal(identity,commutator(inverse(X_10),multiply(inverse(X_11),multiply(X_10,X_11)))) )],[refute_0_478,refute_0_545]) ).
cnf(refute_0_547,plain,
identity = multiply(commutator(inverse(X_109),X_110),commutator(X_109,X_110)),
inference(subst,[],[refute_0_546:[bind(X_10,$fot(X_109)),bind(X_11,$fot(X_110))]]) ).
cnf(refute_0_548,plain,
( identity != multiply(commutator(inverse(X_109),X_110),commutator(X_109,X_110))
| multiply(commutator(inverse(X_109),X_110),commutator(X_109,X_110)) = identity ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(identity)),bind(Y0,$fot(multiply(commutator(inverse(X_109),X_110),commutator(X_109,X_110))))]]) ).
cnf(refute_0_549,plain,
multiply(commutator(inverse(X_109),X_110),commutator(X_109,X_110)) = identity,
inference(resolve,[$cnf( $equal(identity,multiply(commutator(inverse(X_109),X_110),commutator(X_109,X_110))) )],[refute_0_547,refute_0_548]) ).
cnf(refute_0_550,plain,
( multiply(commutator(X_109,X_110),inverse(multiply(commutator(inverse(X_109),X_110),commutator(X_109,X_110)))) != inverse(commutator(inverse(X_109),X_110))
| multiply(commutator(inverse(X_109),X_110),commutator(X_109,X_110)) != identity
| multiply(commutator(X_109,X_110),inverse(identity)) = inverse(commutator(inverse(X_109),X_110)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_109,X_110),inverse(multiply(commutator(inverse(X_109),X_110),commutator(X_109,X_110)))),inverse(commutator(inverse(X_109),X_110))) ),[0,1,0],$fot(identity)]]) ).
cnf(refute_0_551,plain,
( multiply(commutator(X_109,X_110),inverse(multiply(commutator(inverse(X_109),X_110),commutator(X_109,X_110)))) != inverse(commutator(inverse(X_109),X_110))
| multiply(commutator(X_109,X_110),inverse(identity)) = inverse(commutator(inverse(X_109),X_110)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(X_109),X_110),commutator(X_109,X_110)),identity) )],[refute_0_549,refute_0_550]) ).
cnf(refute_0_552,plain,
multiply(commutator(X_109,X_110),inverse(identity)) = inverse(commutator(inverse(X_109),X_110)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_109,X_110),inverse(multiply(commutator(inverse(X_109),X_110),commutator(X_109,X_110)))),inverse(commutator(inverse(X_109),X_110))) )],[refute_0_410,refute_0_551]) ).
cnf(refute_0_553,plain,
inverse(commutator(X_110,X_109)) = commutator(X_109,X_110),
inference(subst,[],[refute_0_386:[bind(X,$fot(X_109)),bind(Y,$fot(X_110))]]) ).
cnf(refute_0_554,plain,
multiply(identity,commutator(X_110,X_109)) = commutator(X_110,X_109),
inference(subst,[],[left_identity:[bind(X,$fot(commutator(X_110,X_109)))]]) ).
cnf(refute_0_555,plain,
inverse(multiply(identity,commutator(X_110,X_109))) = inverse(multiply(identity,commutator(X_110,X_109))),
introduced(tautology,[refl,[$fot(inverse(multiply(identity,commutator(X_110,X_109))))]]) ).
cnf(refute_0_556,plain,
( multiply(identity,commutator(X_110,X_109)) != commutator(X_110,X_109)
| inverse(multiply(identity,commutator(X_110,X_109))) != inverse(multiply(identity,commutator(X_110,X_109)))
| inverse(multiply(identity,commutator(X_110,X_109))) = inverse(commutator(X_110,X_109)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(identity,commutator(X_110,X_109))),inverse(multiply(identity,commutator(X_110,X_109)))) ),[1,0],$fot(commutator(X_110,X_109))]]) ).
cnf(refute_0_557,plain,
( multiply(identity,commutator(X_110,X_109)) != commutator(X_110,X_109)
| inverse(multiply(identity,commutator(X_110,X_109))) = inverse(commutator(X_110,X_109)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(identity,commutator(X_110,X_109))),inverse(multiply(identity,commutator(X_110,X_109)))) )],[refute_0_555,refute_0_556]) ).
cnf(refute_0_558,plain,
inverse(multiply(identity,commutator(X_110,X_109))) = inverse(commutator(X_110,X_109)),
inference(resolve,[$cnf( $equal(multiply(identity,commutator(X_110,X_109)),commutator(X_110,X_109)) )],[refute_0_554,refute_0_557]) ).
cnf(refute_0_559,plain,
( inverse(multiply(identity,commutator(X_110,X_109))) != inverse(commutator(X_110,X_109))
| inverse(commutator(X_110,X_109)) != commutator(X_109,X_110)
| inverse(multiply(identity,commutator(X_110,X_109))) = commutator(X_109,X_110) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(identity,commutator(X_110,X_109))))),bind(Y0,$fot(inverse(commutator(X_110,X_109)))),bind(Z0,$fot(commutator(X_109,X_110)))]]) ).
cnf(refute_0_560,plain,
( inverse(commutator(X_110,X_109)) != commutator(X_109,X_110)
| inverse(multiply(identity,commutator(X_110,X_109))) = commutator(X_109,X_110) ),
inference(resolve,[$cnf( $equal(inverse(multiply(identity,commutator(X_110,X_109))),inverse(commutator(X_110,X_109))) )],[refute_0_558,refute_0_559]) ).
cnf(refute_0_561,plain,
inverse(multiply(identity,commutator(X_110,X_109))) = commutator(X_109,X_110),
inference(resolve,[$cnf( $equal(inverse(commutator(X_110,X_109)),commutator(X_109,X_110)) )],[refute_0_553,refute_0_560]) ).
cnf(refute_0_562,plain,
multiply(commutator(X_109,X_110),inverse(identity)) = inverse(multiply(identity,commutator(X_110,X_109))),
inference(subst,[],[refute_0_378:[bind(X_58,$fot(identity)),bind(X_65,$fot(X_109)),bind(X_66,$fot(X_110))]]) ).
cnf(refute_0_563,plain,
( multiply(commutator(X_109,X_110),inverse(identity)) != inverse(multiply(identity,commutator(X_110,X_109)))
| inverse(multiply(identity,commutator(X_110,X_109))) != commutator(X_109,X_110)
| multiply(commutator(X_109,X_110),inverse(identity)) = commutator(X_109,X_110) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_109,X_110),inverse(identity)))),bind(Y0,$fot(inverse(multiply(identity,commutator(X_110,X_109))))),bind(Z0,$fot(commutator(X_109,X_110)))]]) ).
cnf(refute_0_564,plain,
( inverse(multiply(identity,commutator(X_110,X_109))) != commutator(X_109,X_110)
| multiply(commutator(X_109,X_110),inverse(identity)) = commutator(X_109,X_110) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_109,X_110),inverse(identity)),inverse(multiply(identity,commutator(X_110,X_109)))) )],[refute_0_562,refute_0_563]) ).
cnf(refute_0_565,plain,
multiply(commutator(X_109,X_110),inverse(identity)) = commutator(X_109,X_110),
inference(resolve,[$cnf( $equal(inverse(multiply(identity,commutator(X_110,X_109))),commutator(X_109,X_110)) )],[refute_0_561,refute_0_564]) ).
cnf(refute_0_566,plain,
( multiply(commutator(X_109,X_110),inverse(identity)) != commutator(X_109,X_110)
| multiply(commutator(X_109,X_110),inverse(identity)) != inverse(commutator(inverse(X_109),X_110))
| commutator(X_109,X_110) = inverse(commutator(inverse(X_109),X_110)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_109,X_110),inverse(identity)),inverse(commutator(inverse(X_109),X_110))) ),[0],$fot(commutator(X_109,X_110))]]) ).
cnf(refute_0_567,plain,
( multiply(commutator(X_109,X_110),inverse(identity)) != inverse(commutator(inverse(X_109),X_110))
| commutator(X_109,X_110) = inverse(commutator(inverse(X_109),X_110)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_109,X_110),inverse(identity)),commutator(X_109,X_110)) )],[refute_0_565,refute_0_566]) ).
cnf(refute_0_568,plain,
inverse(commutator(inverse(X_109),X_110)) = commutator(X_110,inverse(X_109)),
inference(subst,[],[refute_0_386:[bind(X,$fot(X_110)),bind(Y,$fot(inverse(X_109)))]]) ).
cnf(refute_0_569,plain,
( commutator(X_109,X_110) != inverse(commutator(inverse(X_109),X_110))
| inverse(commutator(inverse(X_109),X_110)) != commutator(X_110,inverse(X_109))
| commutator(X_109,X_110) = commutator(X_110,inverse(X_109)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(X_109,X_110),commutator(X_110,inverse(X_109))) ),[0],$fot(inverse(commutator(inverse(X_109),X_110)))]]) ).
cnf(refute_0_570,plain,
( commutator(X_109,X_110) != inverse(commutator(inverse(X_109),X_110))
| commutator(X_109,X_110) = commutator(X_110,inverse(X_109)) ),
inference(resolve,[$cnf( $equal(inverse(commutator(inverse(X_109),X_110)),commutator(X_110,inverse(X_109))) )],[refute_0_568,refute_0_569]) ).
cnf(refute_0_571,plain,
( multiply(commutator(X_109,X_110),inverse(identity)) != inverse(commutator(inverse(X_109),X_110))
| commutator(X_109,X_110) = commutator(X_110,inverse(X_109)) ),
inference(resolve,[$cnf( $equal(commutator(X_109,X_110),inverse(commutator(inverse(X_109),X_110))) )],[refute_0_567,refute_0_570]) ).
cnf(refute_0_572,plain,
commutator(X_109,X_110) = commutator(X_110,inverse(X_109)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_109,X_110),inverse(identity)),inverse(commutator(inverse(X_109),X_110))) )],[refute_0_552,refute_0_571]) ).
cnf(refute_0_573,plain,
( commutator(X_109,X_110) != commutator(X_110,inverse(X_109))
| commutator(X_110,inverse(X_109)) = commutator(X_109,X_110) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_109,X_110))),bind(Y0,$fot(commutator(X_110,inverse(X_109))))]]) ).
cnf(refute_0_574,plain,
commutator(X_110,inverse(X_109)) = commutator(X_109,X_110),
inference(resolve,[$cnf( $equal(commutator(X_109,X_110),commutator(X_110,inverse(X_109))) )],[refute_0_572,refute_0_573]) ).
cnf(refute_0_575,plain,
commutator(X_10,inverse(X_58)) = commutator(X_58,X_10),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(X_58)),bind(X_110,$fot(X_10))]]) ).
cnf(refute_0_576,plain,
commutator(inverse(X_58),inverse(X_10)) = commutator(X_10,inverse(X_58)),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(X_10)),bind(X_110,$fot(inverse(X_58)))]]) ).
cnf(refute_0_577,plain,
( commutator(X_10,inverse(X_58)) != commutator(X_58,X_10)
| commutator(inverse(X_58),inverse(X_10)) != commutator(X_10,inverse(X_58))
| commutator(inverse(X_58),inverse(X_10)) = commutator(X_58,X_10) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(inverse(X_58),inverse(X_10)))),bind(Y0,$fot(commutator(X_10,inverse(X_58)))),bind(Z0,$fot(commutator(X_58,X_10)))]]) ).
cnf(refute_0_578,plain,
( commutator(X_10,inverse(X_58)) != commutator(X_58,X_10)
| commutator(inverse(X_58),inverse(X_10)) = commutator(X_58,X_10) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_58),inverse(X_10)),commutator(X_10,inverse(X_58))) )],[refute_0_576,refute_0_577]) ).
cnf(refute_0_579,plain,
commutator(inverse(X_58),inverse(X_10)) = commutator(X_58,X_10),
inference(resolve,[$cnf( $equal(commutator(X_10,inverse(X_58)),commutator(X_58,X_10)) )],[refute_0_575,refute_0_578]) ).
cnf(refute_0_580,plain,
multiply(commutator(inverse(X_58),inverse(X_10)),X_10) = multiply(commutator(inverse(X_58),inverse(X_10)),X_10),
introduced(tautology,[refl,[$fot(multiply(commutator(inverse(X_58),inverse(X_10)),X_10))]]) ).
cnf(refute_0_581,plain,
( multiply(commutator(inverse(X_58),inverse(X_10)),X_10) != multiply(commutator(inverse(X_58),inverse(X_10)),X_10)
| commutator(inverse(X_58),inverse(X_10)) != commutator(X_58,X_10)
| multiply(commutator(inverse(X_58),inverse(X_10)),X_10) = multiply(commutator(X_58,X_10),X_10) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(inverse(X_58),inverse(X_10)),X_10),multiply(commutator(inverse(X_58),inverse(X_10)),X_10)) ),[1,0],$fot(commutator(X_58,X_10))]]) ).
cnf(refute_0_582,plain,
( commutator(inverse(X_58),inverse(X_10)) != commutator(X_58,X_10)
| multiply(commutator(inverse(X_58),inverse(X_10)),X_10) = multiply(commutator(X_58,X_10),X_10) ),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(X_58),inverse(X_10)),X_10),multiply(commutator(inverse(X_58),inverse(X_10)),X_10)) )],[refute_0_580,refute_0_581]) ).
cnf(refute_0_583,plain,
multiply(commutator(inverse(X_58),inverse(X_10)),X_10) = multiply(commutator(X_58,X_10),X_10),
inference(resolve,[$cnf( $equal(commutator(inverse(X_58),inverse(X_10)),commutator(X_58,X_10)) )],[refute_0_579,refute_0_582]) ).
cnf(refute_0_584,plain,
inverse(multiply(commutator(inverse(X_58),inverse(X_10)),X_10)) = inverse(multiply(commutator(inverse(X_58),inverse(X_10)),X_10)),
introduced(tautology,[refl,[$fot(inverse(multiply(commutator(inverse(X_58),inverse(X_10)),X_10)))]]) ).
cnf(refute_0_585,plain,
( multiply(commutator(inverse(X_58),inverse(X_10)),X_10) != multiply(commutator(X_58,X_10),X_10)
| inverse(multiply(commutator(inverse(X_58),inverse(X_10)),X_10)) != inverse(multiply(commutator(inverse(X_58),inverse(X_10)),X_10))
| inverse(multiply(commutator(inverse(X_58),inverse(X_10)),X_10)) = inverse(multiply(commutator(X_58,X_10),X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(commutator(inverse(X_58),inverse(X_10)),X_10)),inverse(multiply(commutator(inverse(X_58),inverse(X_10)),X_10))) ),[1,0],$fot(multiply(commutator(X_58,X_10),X_10))]]) ).
cnf(refute_0_586,plain,
( multiply(commutator(inverse(X_58),inverse(X_10)),X_10) != multiply(commutator(X_58,X_10),X_10)
| inverse(multiply(commutator(inverse(X_58),inverse(X_10)),X_10)) = inverse(multiply(commutator(X_58,X_10),X_10)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(inverse(X_58),inverse(X_10)),X_10)),inverse(multiply(commutator(inverse(X_58),inverse(X_10)),X_10))) )],[refute_0_584,refute_0_585]) ).
cnf(refute_0_587,plain,
inverse(multiply(commutator(inverse(X_58),inverse(X_10)),X_10)) = inverse(multiply(commutator(X_58,X_10),X_10)),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(X_58),inverse(X_10)),X_10),multiply(commutator(X_58,X_10),X_10)) )],[refute_0_583,refute_0_586]) ).
cnf(refute_0_588,plain,
( inverse(multiply(commutator(X_58,X_10),X_10)) != inverse(multiply(X_10,commutator(X_58,X_10)))
| inverse(multiply(commutator(inverse(X_58),inverse(X_10)),X_10)) != inverse(multiply(commutator(X_58,X_10),X_10))
| inverse(multiply(commutator(inverse(X_58),inverse(X_10)),X_10)) = inverse(multiply(X_10,commutator(X_58,X_10))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(commutator(inverse(X_58),inverse(X_10)),X_10)))),bind(Y0,$fot(inverse(multiply(commutator(X_58,X_10),X_10)))),bind(Z0,$fot(inverse(multiply(X_10,commutator(X_58,X_10)))))]]) ).
cnf(refute_0_589,plain,
( inverse(multiply(commutator(X_58,X_10),X_10)) != inverse(multiply(X_10,commutator(X_58,X_10)))
| inverse(multiply(commutator(inverse(X_58),inverse(X_10)),X_10)) = inverse(multiply(X_10,commutator(X_58,X_10))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(inverse(X_58),inverse(X_10)),X_10)),inverse(multiply(commutator(X_58,X_10),X_10))) )],[refute_0_587,refute_0_588]) ).
cnf(refute_0_590,plain,
inverse(multiply(commutator(inverse(X_58),inverse(X_10)),X_10)) = inverse(multiply(X_10,commutator(X_58,X_10))),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_58,X_10),X_10)),inverse(multiply(X_10,commutator(X_58,X_10)))) )],[refute_0_409,refute_0_589]) ).
cnf(refute_0_591,plain,
multiply(inverse(X_10),commutator(inverse(X_10),inverse(X_58))) = inverse(multiply(commutator(inverse(X_58),inverse(X_10)),X_10)),
inference(subst,[],[refute_0_331:[bind(X_65,$fot(inverse(X_10))),bind(X_66,$fot(inverse(X_58)))]]) ).
cnf(refute_0_592,plain,
( multiply(inverse(X_10),commutator(inverse(X_10),inverse(X_58))) != inverse(multiply(commutator(inverse(X_58),inverse(X_10)),X_10))
| inverse(multiply(commutator(inverse(X_58),inverse(X_10)),X_10)) != inverse(multiply(X_10,commutator(X_58,X_10)))
| multiply(inverse(X_10),commutator(inverse(X_10),inverse(X_58))) = inverse(multiply(X_10,commutator(X_58,X_10))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(X_10),commutator(inverse(X_10),inverse(X_58))))),bind(Y0,$fot(inverse(multiply(commutator(inverse(X_58),inverse(X_10)),X_10)))),bind(Z0,$fot(inverse(multiply(X_10,commutator(X_58,X_10)))))]]) ).
cnf(refute_0_593,plain,
( inverse(multiply(commutator(inverse(X_58),inverse(X_10)),X_10)) != inverse(multiply(X_10,commutator(X_58,X_10)))
| multiply(inverse(X_10),commutator(inverse(X_10),inverse(X_58))) = inverse(multiply(X_10,commutator(X_58,X_10))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),commutator(inverse(X_10),inverse(X_58))),inverse(multiply(commutator(inverse(X_58),inverse(X_10)),X_10))) )],[refute_0_591,refute_0_592]) ).
cnf(refute_0_594,plain,
multiply(inverse(X_10),commutator(inverse(X_10),inverse(X_58))) = inverse(multiply(X_10,commutator(X_58,X_10))),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(inverse(X_58),inverse(X_10)),X_10)),inverse(multiply(X_10,commutator(X_58,X_10)))) )],[refute_0_590,refute_0_593]) ).
cnf(refute_0_595,plain,
( multiply(X_58,inverse(multiply(X_58,X_10))) != multiply(inverse(X_10),commutator(inverse(X_10),inverse(X_58)))
| multiply(inverse(X_10),commutator(inverse(X_10),inverse(X_58))) != inverse(multiply(X_10,commutator(X_58,X_10)))
| multiply(X_58,inverse(multiply(X_58,X_10))) = inverse(multiply(X_10,commutator(X_58,X_10))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_58,inverse(multiply(X_58,X_10))),inverse(multiply(X_10,commutator(X_58,X_10)))) ),[0],$fot(multiply(inverse(X_10),commutator(inverse(X_10),inverse(X_58))))]]) ).
cnf(refute_0_596,plain,
( multiply(X_58,inverse(multiply(X_58,X_10))) != multiply(inverse(X_10),commutator(inverse(X_10),inverse(X_58)))
| multiply(X_58,inverse(multiply(X_58,X_10))) = inverse(multiply(X_10,commutator(X_58,X_10))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),commutator(inverse(X_10),inverse(X_58))),inverse(multiply(X_10,commutator(X_58,X_10)))) )],[refute_0_594,refute_0_595]) ).
cnf(refute_0_597,plain,
( multiply(inverse(inverse(X_58)),inverse(multiply(X_58,X_10))) != multiply(inverse(X_10),commutator(inverse(X_10),inverse(X_58)))
| multiply(X_58,inverse(multiply(X_58,X_10))) = inverse(multiply(X_10,commutator(X_58,X_10))) ),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,X_10))),multiply(inverse(X_10),commutator(inverse(X_10),inverse(X_58)))) )],[refute_0_267,refute_0_596]) ).
cnf(refute_0_598,plain,
multiply(X_58,inverse(multiply(X_58,X_10))) = inverse(multiply(X_10,commutator(X_58,X_10))),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_58)),inverse(multiply(X_58,X_10))),multiply(inverse(X_10),commutator(inverse(X_10),inverse(X_58)))) )],[refute_0_260,refute_0_597]) ).
cnf(refute_0_599,plain,
multiply(commutator(X_255,X_256),inverse(multiply(commutator(X_255,X_256),X_10))) = inverse(multiply(X_10,commutator(commutator(X_255,X_256),X_10))),
inference(subst,[],[refute_0_598:[bind(X_58,$fot(commutator(X_255,X_256)))]]) ).
cnf(refute_0_600,plain,
( multiply(commutator(X_255,X_256),inverse(multiply(commutator(X_255,X_256),X_10))) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(commutator(X_255,X_256),X_10)))))
| multiply(commutator(X_255,X_256),inverse(multiply(commutator(X_255,X_256),X_10))) != inverse(multiply(X_10,commutator(commutator(X_255,X_256),X_10)))
| inverse(multiply(X_10,commutator(commutator(X_255,X_256),X_10))) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(commutator(X_255,X_256),X_10))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_255,X_256),inverse(multiply(commutator(X_255,X_256),X_10))),multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(commutator(X_255,X_256),X_10)))))) ),[0],$fot(inverse(multiply(X_10,commutator(commutator(X_255,X_256),X_10))))]]) ).
cnf(refute_0_601,plain,
( multiply(commutator(X_255,X_256),inverse(multiply(commutator(X_255,X_256),X_10))) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(commutator(X_255,X_256),X_10)))))
| inverse(multiply(X_10,commutator(commutator(X_255,X_256),X_10))) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(commutator(X_255,X_256),X_10))))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,X_256),inverse(multiply(commutator(X_255,X_256),X_10))),inverse(multiply(X_10,commutator(commutator(X_255,X_256),X_10)))) )],[refute_0_599,refute_0_600]) ).
cnf(refute_0_602,plain,
inverse(multiply(X_10,commutator(commutator(X_255,X_256),X_10))) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(commutator(X_255,X_256),X_10))))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,X_256),inverse(multiply(commutator(X_255,X_256),X_10))),multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(commutator(X_255,X_256),X_10)))))) )],[refute_0_247,refute_0_601]) ).
cnf(refute_0_603,plain,
commutator(commutator(X_255,X_256),X_10) = commutator(X_255,commutator(X_256,X_10)),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(X_255)),bind(Y,$fot(X_256)),bind(Z,$fot(X_10))]]) ).
cnf(refute_0_604,plain,
multiply(X_10,commutator(commutator(X_255,X_256),X_10)) = multiply(X_10,commutator(commutator(X_255,X_256),X_10)),
introduced(tautology,[refl,[$fot(multiply(X_10,commutator(commutator(X_255,X_256),X_10)))]]) ).
cnf(refute_0_605,plain,
( multiply(X_10,commutator(commutator(X_255,X_256),X_10)) != multiply(X_10,commutator(commutator(X_255,X_256),X_10))
| commutator(commutator(X_255,X_256),X_10) != commutator(X_255,commutator(X_256,X_10))
| multiply(X_10,commutator(commutator(X_255,X_256),X_10)) = multiply(X_10,commutator(X_255,commutator(X_256,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_10,commutator(commutator(X_255,X_256),X_10)),multiply(X_10,commutator(commutator(X_255,X_256),X_10))) ),[1,1],$fot(commutator(X_255,commutator(X_256,X_10)))]]) ).
cnf(refute_0_606,plain,
( commutator(commutator(X_255,X_256),X_10) != commutator(X_255,commutator(X_256,X_10))
| multiply(X_10,commutator(commutator(X_255,X_256),X_10)) = multiply(X_10,commutator(X_255,commutator(X_256,X_10))) ),
inference(resolve,[$cnf( $equal(multiply(X_10,commutator(commutator(X_255,X_256),X_10)),multiply(X_10,commutator(commutator(X_255,X_256),X_10))) )],[refute_0_604,refute_0_605]) ).
cnf(refute_0_607,plain,
multiply(X_10,commutator(commutator(X_255,X_256),X_10)) = multiply(X_10,commutator(X_255,commutator(X_256,X_10))),
inference(resolve,[$cnf( $equal(commutator(commutator(X_255,X_256),X_10),commutator(X_255,commutator(X_256,X_10))) )],[refute_0_603,refute_0_606]) ).
cnf(refute_0_608,plain,
inverse(multiply(X_10,commutator(commutator(X_255,X_256),X_10))) = inverse(multiply(X_10,commutator(commutator(X_255,X_256),X_10))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_10,commutator(commutator(X_255,X_256),X_10))))]]) ).
cnf(refute_0_609,plain,
( multiply(X_10,commutator(commutator(X_255,X_256),X_10)) != multiply(X_10,commutator(X_255,commutator(X_256,X_10)))
| inverse(multiply(X_10,commutator(commutator(X_255,X_256),X_10))) != inverse(multiply(X_10,commutator(commutator(X_255,X_256),X_10)))
| inverse(multiply(X_10,commutator(commutator(X_255,X_256),X_10))) = inverse(multiply(X_10,commutator(X_255,commutator(X_256,X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_10,commutator(commutator(X_255,X_256),X_10))),inverse(multiply(X_10,commutator(commutator(X_255,X_256),X_10)))) ),[1,0],$fot(multiply(X_10,commutator(X_255,commutator(X_256,X_10))))]]) ).
cnf(refute_0_610,plain,
( multiply(X_10,commutator(commutator(X_255,X_256),X_10)) != multiply(X_10,commutator(X_255,commutator(X_256,X_10)))
| inverse(multiply(X_10,commutator(commutator(X_255,X_256),X_10))) = inverse(multiply(X_10,commutator(X_255,commutator(X_256,X_10)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,commutator(commutator(X_255,X_256),X_10))),inverse(multiply(X_10,commutator(commutator(X_255,X_256),X_10)))) )],[refute_0_608,refute_0_609]) ).
cnf(refute_0_611,plain,
inverse(multiply(X_10,commutator(commutator(X_255,X_256),X_10))) = inverse(multiply(X_10,commutator(X_255,commutator(X_256,X_10)))),
inference(resolve,[$cnf( $equal(multiply(X_10,commutator(commutator(X_255,X_256),X_10)),multiply(X_10,commutator(X_255,commutator(X_256,X_10)))) )],[refute_0_607,refute_0_610]) ).
cnf(refute_0_612,plain,
( inverse(multiply(X_10,commutator(commutator(X_255,X_256),X_10))) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(commutator(X_255,X_256),X_10)))))
| inverse(multiply(X_10,commutator(commutator(X_255,X_256),X_10))) != inverse(multiply(X_10,commutator(X_255,commutator(X_256,X_10))))
| inverse(multiply(X_10,commutator(X_255,commutator(X_256,X_10)))) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(commutator(X_255,X_256),X_10))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_10,commutator(commutator(X_255,X_256),X_10))),multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(commutator(X_255,X_256),X_10)))))) ),[0],$fot(inverse(multiply(X_10,commutator(X_255,commutator(X_256,X_10)))))]]) ).
cnf(refute_0_613,plain,
( inverse(multiply(X_10,commutator(commutator(X_255,X_256),X_10))) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(commutator(X_255,X_256),X_10)))))
| inverse(multiply(X_10,commutator(X_255,commutator(X_256,X_10)))) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(commutator(X_255,X_256),X_10))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,commutator(commutator(X_255,X_256),X_10))),inverse(multiply(X_10,commutator(X_255,commutator(X_256,X_10))))) )],[refute_0_611,refute_0_612]) ).
cnf(refute_0_614,plain,
multiply(multiply(commutator(X_255,X_256),X_10),commutator(X_256,X_255)) = multiply(commutator(X_255,X_256),multiply(X_10,commutator(X_256,X_255))),
inference(subst,[],[associativity:[bind(X,$fot(commutator(X_255,X_256))),bind(Y,$fot(X_10)),bind(Z,$fot(commutator(X_256,X_255)))]]) ).
cnf(refute_0_615,plain,
inverse(multiply(multiply(commutator(X_255,X_256),X_10),commutator(X_256,X_255))) = inverse(multiply(multiply(commutator(X_255,X_256),X_10),commutator(X_256,X_255))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(commutator(X_255,X_256),X_10),commutator(X_256,X_255))))]]) ).
cnf(refute_0_616,plain,
( multiply(multiply(commutator(X_255,X_256),X_10),commutator(X_256,X_255)) != multiply(commutator(X_255,X_256),multiply(X_10,commutator(X_256,X_255)))
| inverse(multiply(multiply(commutator(X_255,X_256),X_10),commutator(X_256,X_255))) != inverse(multiply(multiply(commutator(X_255,X_256),X_10),commutator(X_256,X_255)))
| inverse(multiply(multiply(commutator(X_255,X_256),X_10),commutator(X_256,X_255))) = inverse(multiply(commutator(X_255,X_256),multiply(X_10,commutator(X_256,X_255)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(commutator(X_255,X_256),X_10),commutator(X_256,X_255))),inverse(multiply(multiply(commutator(X_255,X_256),X_10),commutator(X_256,X_255)))) ),[1,0],$fot(multiply(commutator(X_255,X_256),multiply(X_10,commutator(X_256,X_255))))]]) ).
cnf(refute_0_617,plain,
( multiply(multiply(commutator(X_255,X_256),X_10),commutator(X_256,X_255)) != multiply(commutator(X_255,X_256),multiply(X_10,commutator(X_256,X_255)))
| inverse(multiply(multiply(commutator(X_255,X_256),X_10),commutator(X_256,X_255))) = inverse(multiply(commutator(X_255,X_256),multiply(X_10,commutator(X_256,X_255)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(commutator(X_255,X_256),X_10),commutator(X_256,X_255))),inverse(multiply(multiply(commutator(X_255,X_256),X_10),commutator(X_256,X_255)))) )],[refute_0_615,refute_0_616]) ).
cnf(refute_0_618,plain,
inverse(multiply(multiply(commutator(X_255,X_256),X_10),commutator(X_256,X_255))) = inverse(multiply(commutator(X_255,X_256),multiply(X_10,commutator(X_256,X_255)))),
inference(resolve,[$cnf( $equal(multiply(multiply(commutator(X_255,X_256),X_10),commutator(X_256,X_255)),multiply(commutator(X_255,X_256),multiply(X_10,commutator(X_256,X_255)))) )],[refute_0_614,refute_0_617]) ).
cnf(refute_0_619,plain,
multiply(commutator(X_255,X_256),inverse(multiply(commutator(X_255,X_256),X_10))) = inverse(multiply(multiply(commutator(X_255,X_256),X_10),commutator(X_256,X_255))),
inference(subst,[],[refute_0_378:[bind(X_58,$fot(multiply(commutator(X_255,X_256),X_10))),bind(X_65,$fot(X_255)),bind(X_66,$fot(X_256))]]) ).
cnf(refute_0_620,plain,
( multiply(commutator(X,Y),X_11) != multiply(inverse(multiply(Y,X)),multiply(X,multiply(Y,X_11)))
| multiply(inverse(multiply(Y,X)),multiply(X,multiply(Y,X_11))) = multiply(commutator(X,Y),X_11) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(commutator(X,Y),X_11))),bind(Y0,$fot(multiply(inverse(multiply(Y,X)),multiply(X,multiply(Y,X_11)))))]]) ).
cnf(refute_0_621,plain,
multiply(inverse(multiply(Y,X)),multiply(X,multiply(Y,X_11))) = multiply(commutator(X,Y),X_11),
inference(resolve,[$cnf( $equal(multiply(commutator(X,Y),X_11),multiply(inverse(multiply(Y,X)),multiply(X,multiply(Y,X_11)))) )],[refute_0_246,refute_0_620]) ).
cnf(refute_0_622,plain,
multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(commutator(X_255,X_256),X_10))))) = multiply(commutator(X_255,X_256),inverse(multiply(commutator(X_255,X_256),X_10))),
inference(subst,[],[refute_0_621:[bind(X,$fot(X_255)),bind(Y,$fot(X_256)),bind(X_11,$fot(inverse(multiply(commutator(X_255,X_256),X_10))))]]) ).
cnf(refute_0_623,plain,
( multiply(commutator(X_255,X_256),inverse(multiply(commutator(X_255,X_256),X_10))) != inverse(multiply(multiply(commutator(X_255,X_256),X_10),commutator(X_256,X_255)))
| multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(commutator(X_255,X_256),X_10))))) != multiply(commutator(X_255,X_256),inverse(multiply(commutator(X_255,X_256),X_10)))
| multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(commutator(X_255,X_256),X_10))))) = inverse(multiply(multiply(commutator(X_255,X_256),X_10),commutator(X_256,X_255))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(commutator(X_255,X_256),X_10))))))),bind(Y0,$fot(multiply(commutator(X_255,X_256),inverse(multiply(commutator(X_255,X_256),X_10))))),bind(Z0,$fot(inverse(multiply(multiply(commutator(X_255,X_256),X_10),commutator(X_256,X_255)))))]]) ).
cnf(refute_0_624,plain,
( multiply(commutator(X_255,X_256),inverse(multiply(commutator(X_255,X_256),X_10))) != inverse(multiply(multiply(commutator(X_255,X_256),X_10),commutator(X_256,X_255)))
| multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(commutator(X_255,X_256),X_10))))) = inverse(multiply(multiply(commutator(X_255,X_256),X_10),commutator(X_256,X_255))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(commutator(X_255,X_256),X_10))))),multiply(commutator(X_255,X_256),inverse(multiply(commutator(X_255,X_256),X_10)))) )],[refute_0_622,refute_0_623]) ).
cnf(refute_0_625,plain,
multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(commutator(X_255,X_256),X_10))))) = inverse(multiply(multiply(commutator(X_255,X_256),X_10),commutator(X_256,X_255))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,X_256),inverse(multiply(commutator(X_255,X_256),X_10))),inverse(multiply(multiply(commutator(X_255,X_256),X_10),commutator(X_256,X_255)))) )],[refute_0_619,refute_0_624]) ).
cnf(refute_0_626,plain,
( multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(commutator(X_255,X_256),X_10))))) != inverse(multiply(multiply(commutator(X_255,X_256),X_10),commutator(X_256,X_255)))
| inverse(multiply(multiply(commutator(X_255,X_256),X_10),commutator(X_256,X_255))) != inverse(multiply(commutator(X_255,X_256),multiply(X_10,commutator(X_256,X_255))))
| multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(commutator(X_255,X_256),X_10))))) = inverse(multiply(commutator(X_255,X_256),multiply(X_10,commutator(X_256,X_255)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(commutator(X_255,X_256),X_10))))))),bind(Y0,$fot(inverse(multiply(multiply(commutator(X_255,X_256),X_10),commutator(X_256,X_255))))),bind(Z0,$fot(inverse(multiply(commutator(X_255,X_256),multiply(X_10,commutator(X_256,X_255))))))]]) ).
cnf(refute_0_627,plain,
( inverse(multiply(multiply(commutator(X_255,X_256),X_10),commutator(X_256,X_255))) != inverse(multiply(commutator(X_255,X_256),multiply(X_10,commutator(X_256,X_255))))
| multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(commutator(X_255,X_256),X_10))))) = inverse(multiply(commutator(X_255,X_256),multiply(X_10,commutator(X_256,X_255)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(commutator(X_255,X_256),X_10))))),inverse(multiply(multiply(commutator(X_255,X_256),X_10),commutator(X_256,X_255)))) )],[refute_0_625,refute_0_626]) ).
cnf(refute_0_628,plain,
multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(commutator(X_255,X_256),X_10))))) = inverse(multiply(commutator(X_255,X_256),multiply(X_10,commutator(X_256,X_255)))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(commutator(X_255,X_256),X_10),commutator(X_256,X_255))),inverse(multiply(commutator(X_255,X_256),multiply(X_10,commutator(X_256,X_255))))) )],[refute_0_618,refute_0_627]) ).
cnf(refute_0_629,plain,
( multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(commutator(X_255,X_256),X_10))))) != inverse(multiply(commutator(X_255,X_256),multiply(X_10,commutator(X_256,X_255))))
| inverse(multiply(X_10,commutator(X_255,commutator(X_256,X_10)))) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(commutator(X_255,X_256),X_10)))))
| inverse(multiply(X_10,commutator(X_255,commutator(X_256,X_10)))) = inverse(multiply(commutator(X_255,X_256),multiply(X_10,commutator(X_256,X_255)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_10,commutator(X_255,commutator(X_256,X_10)))),multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(commutator(X_255,X_256),X_10)))))) ),[1],$fot(inverse(multiply(commutator(X_255,X_256),multiply(X_10,commutator(X_256,X_255)))))]]) ).
cnf(refute_0_630,plain,
( inverse(multiply(X_10,commutator(X_255,commutator(X_256,X_10)))) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(commutator(X_255,X_256),X_10)))))
| inverse(multiply(X_10,commutator(X_255,commutator(X_256,X_10)))) = inverse(multiply(commutator(X_255,X_256),multiply(X_10,commutator(X_256,X_255)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(commutator(X_255,X_256),X_10))))),inverse(multiply(commutator(X_255,X_256),multiply(X_10,commutator(X_256,X_255))))) )],[refute_0_628,refute_0_629]) ).
cnf(refute_0_631,plain,
( inverse(multiply(X_10,commutator(commutator(X_255,X_256),X_10))) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(commutator(X_255,X_256),X_10)))))
| inverse(multiply(X_10,commutator(X_255,commutator(X_256,X_10)))) = inverse(multiply(commutator(X_255,X_256),multiply(X_10,commutator(X_256,X_255)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,commutator(X_255,commutator(X_256,X_10)))),multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(commutator(X_255,X_256),X_10)))))) )],[refute_0_613,refute_0_630]) ).
cnf(refute_0_632,plain,
inverse(multiply(X_10,commutator(X_255,commutator(X_256,X_10)))) = inverse(multiply(commutator(X_255,X_256),multiply(X_10,commutator(X_256,X_255)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,commutator(commutator(X_255,X_256),X_10))),multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(commutator(X_255,X_256),X_10)))))) )],[refute_0_602,refute_0_631]) ).
cnf(refute_0_633,plain,
inverse(multiply(X_58,commutator(X_391,commutator(X_392,X_58)))) = inverse(multiply(commutator(X_391,X_392),multiply(X_58,commutator(X_392,X_391)))),
inference(subst,[],[refute_0_632:[bind(X_10,$fot(X_58)),bind(X_255,$fot(X_391)),bind(X_256,$fot(X_392))]]) ).
cnf(refute_0_634,plain,
( multiply(inverse(multiply(X_58,commutator(X_391,commutator(X_392,X_58)))),X_58) != inverse(commutator(X_391,commutator(X_392,X_58)))
| inverse(multiply(X_58,commutator(X_391,commutator(X_392,X_58)))) != inverse(multiply(commutator(X_391,X_392),multiply(X_58,commutator(X_392,X_391))))
| multiply(inverse(multiply(commutator(X_391,X_392),multiply(X_58,commutator(X_392,X_391)))),X_58) = inverse(commutator(X_391,commutator(X_392,X_58))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_58,commutator(X_391,commutator(X_392,X_58)))),X_58),inverse(commutator(X_391,commutator(X_392,X_58)))) ),[0,0],$fot(inverse(multiply(commutator(X_391,X_392),multiply(X_58,commutator(X_392,X_391)))))]]) ).
cnf(refute_0_635,plain,
( multiply(inverse(multiply(X_58,commutator(X_391,commutator(X_392,X_58)))),X_58) != inverse(commutator(X_391,commutator(X_392,X_58)))
| multiply(inverse(multiply(commutator(X_391,X_392),multiply(X_58,commutator(X_392,X_391)))),X_58) = inverse(commutator(X_391,commutator(X_392,X_58))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_58,commutator(X_391,commutator(X_392,X_58)))),inverse(multiply(commutator(X_391,X_392),multiply(X_58,commutator(X_392,X_391))))) )],[refute_0_633,refute_0_634]) ).
cnf(refute_0_636,plain,
multiply(inverse(multiply(commutator(X_391,X_392),multiply(X_58,commutator(X_392,X_391)))),X_58) = inverse(commutator(X_391,commutator(X_392,X_58))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_58,commutator(X_391,commutator(X_392,X_58)))),X_58),inverse(commutator(X_391,commutator(X_392,X_58)))) )],[refute_0_209,refute_0_635]) ).
cnf(refute_0_637,plain,
Z = multiply(commutator(X_66,X_65),multiply(inverse(commutator(X_66,X_65)),Z)),
inference(subst,[],[refute_0_141:[bind(X,$fot(commutator(X_66,X_65)))]]) ).
cnf(refute_0_638,plain,
( Z != multiply(commutator(X_66,X_65),multiply(inverse(commutator(X_66,X_65)),Z))
| inverse(commutator(X_66,X_65)) != commutator(X_65,X_66)
| Z = multiply(commutator(X_66,X_65),multiply(commutator(X_65,X_66),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(Z,multiply(commutator(X_66,X_65),multiply(inverse(commutator(X_66,X_65)),Z))) ),[1,1,0],$fot(commutator(X_65,X_66))]]) ).
cnf(refute_0_639,plain,
( Z != multiply(commutator(X_66,X_65),multiply(inverse(commutator(X_66,X_65)),Z))
| Z = multiply(commutator(X_66,X_65),multiply(commutator(X_65,X_66),Z)) ),
inference(resolve,[$cnf( $equal(inverse(commutator(X_66,X_65)),commutator(X_65,X_66)) )],[refute_0_326,refute_0_638]) ).
cnf(refute_0_640,plain,
Z = multiply(commutator(X_66,X_65),multiply(commutator(X_65,X_66),Z)),
inference(resolve,[$cnf( $equal(Z,multiply(commutator(X_66,X_65),multiply(inverse(commutator(X_66,X_65)),Z))) )],[refute_0_637,refute_0_639]) ).
cnf(refute_0_641,plain,
commutator(commutator(X_354,X_355),Y) = multiply(commutator(X_355,X_354),multiply(commutator(X_354,X_355),commutator(commutator(X_354,X_355),Y))),
inference(subst,[],[refute_0_640:[bind(Z,$fot(commutator(commutator(X_354,X_355),Y))),bind(X_65,$fot(X_354)),bind(X_66,$fot(X_355))]]) ).
cnf(refute_0_642,plain,
multiply(inverse(Y),multiply(commutator(X_354,X_355),Y)) = multiply(commutator(X_354,X_355),commutator(commutator(X_354,X_355),Y)),
inference(subst,[],[refute_0_254:[bind(X_27,$fot(commutator(X_354,X_355)))]]) ).
cnf(refute_0_643,plain,
( multiply(inverse(Y),multiply(commutator(X_354,X_355),Y)) != multiply(commutator(X_354,X_355),commutator(commutator(X_354,X_355),Y))
| multiply(commutator(X_354,X_355),commutator(commutator(X_354,X_355),Y)) = multiply(inverse(Y),multiply(commutator(X_354,X_355),Y)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(inverse(Y),multiply(commutator(X_354,X_355),Y)))),bind(Y0,$fot(multiply(commutator(X_354,X_355),commutator(commutator(X_354,X_355),Y))))]]) ).
cnf(refute_0_644,plain,
multiply(commutator(X_354,X_355),commutator(commutator(X_354,X_355),Y)) = multiply(inverse(Y),multiply(commutator(X_354,X_355),Y)),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),multiply(commutator(X_354,X_355),Y)),multiply(commutator(X_354,X_355),commutator(commutator(X_354,X_355),Y))) )],[refute_0_642,refute_0_643]) ).
cnf(refute_0_645,plain,
( multiply(commutator(X_354,X_355),commutator(commutator(X_354,X_355),Y)) != multiply(inverse(Y),multiply(commutator(X_354,X_355),Y))
| commutator(commutator(X_354,X_355),Y) != multiply(commutator(X_355,X_354),multiply(commutator(X_354,X_355),commutator(commutator(X_354,X_355),Y)))
| commutator(commutator(X_354,X_355),Y) = multiply(commutator(X_355,X_354),multiply(inverse(Y),multiply(commutator(X_354,X_355),Y))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(X_354,X_355),Y),multiply(commutator(X_355,X_354),multiply(commutator(X_354,X_355),commutator(commutator(X_354,X_355),Y)))) ),[1,1],$fot(multiply(inverse(Y),multiply(commutator(X_354,X_355),Y)))]]) ).
cnf(refute_0_646,plain,
( commutator(commutator(X_354,X_355),Y) != multiply(commutator(X_355,X_354),multiply(commutator(X_354,X_355),commutator(commutator(X_354,X_355),Y)))
| commutator(commutator(X_354,X_355),Y) = multiply(commutator(X_355,X_354),multiply(inverse(Y),multiply(commutator(X_354,X_355),Y))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_354,X_355),commutator(commutator(X_354,X_355),Y)),multiply(inverse(Y),multiply(commutator(X_354,X_355),Y))) )],[refute_0_644,refute_0_645]) ).
cnf(refute_0_647,plain,
commutator(commutator(X_354,X_355),Y) = multiply(commutator(X_355,X_354),multiply(inverse(Y),multiply(commutator(X_354,X_355),Y))),
inference(resolve,[$cnf( $equal(commutator(commutator(X_354,X_355),Y),multiply(commutator(X_355,X_354),multiply(commutator(X_354,X_355),commutator(commutator(X_354,X_355),Y)))) )],[refute_0_641,refute_0_646]) ).
cnf(refute_0_648,plain,
commutator(commutator(X_354,X_355),Y) = commutator(X_354,commutator(X_355,Y)),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(X_354)),bind(Y,$fot(X_355)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_649,plain,
( commutator(commutator(X_354,X_355),Y) != multiply(commutator(X_355,X_354),multiply(inverse(Y),multiply(commutator(X_354,X_355),Y)))
| commutator(commutator(X_354,X_355),Y) != commutator(X_354,commutator(X_355,Y))
| commutator(X_354,commutator(X_355,Y)) = multiply(commutator(X_355,X_354),multiply(inverse(Y),multiply(commutator(X_354,X_355),Y))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(X_354,X_355),Y),multiply(commutator(X_355,X_354),multiply(inverse(Y),multiply(commutator(X_354,X_355),Y)))) ),[0],$fot(commutator(X_354,commutator(X_355,Y)))]]) ).
cnf(refute_0_650,plain,
( commutator(commutator(X_354,X_355),Y) != multiply(commutator(X_355,X_354),multiply(inverse(Y),multiply(commutator(X_354,X_355),Y)))
| commutator(X_354,commutator(X_355,Y)) = multiply(commutator(X_355,X_354),multiply(inverse(Y),multiply(commutator(X_354,X_355),Y))) ),
inference(resolve,[$cnf( $equal(commutator(commutator(X_354,X_355),Y),commutator(X_354,commutator(X_355,Y))) )],[refute_0_648,refute_0_649]) ).
cnf(refute_0_651,plain,
commutator(X_354,commutator(X_355,Y)) = multiply(commutator(X_355,X_354),multiply(inverse(Y),multiply(commutator(X_354,X_355),Y))),
inference(resolve,[$cnf( $equal(commutator(commutator(X_354,X_355),Y),multiply(commutator(X_355,X_354),multiply(inverse(Y),multiply(commutator(X_354,X_355),Y)))) )],[refute_0_647,refute_0_650]) ).
cnf(refute_0_652,plain,
( commutator(X_354,commutator(X_355,Y)) != multiply(commutator(X_355,X_354),multiply(inverse(Y),multiply(commutator(X_354,X_355),Y)))
| multiply(commutator(X_355,X_354),multiply(inverse(Y),multiply(commutator(X_354,X_355),Y))) = commutator(X_354,commutator(X_355,Y)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_354,commutator(X_355,Y)))),bind(Y0,$fot(multiply(commutator(X_355,X_354),multiply(inverse(Y),multiply(commutator(X_354,X_355),Y)))))]]) ).
cnf(refute_0_653,plain,
multiply(commutator(X_355,X_354),multiply(inverse(Y),multiply(commutator(X_354,X_355),Y))) = commutator(X_354,commutator(X_355,Y)),
inference(resolve,[$cnf( $equal(commutator(X_354,commutator(X_355,Y)),multiply(commutator(X_355,X_354),multiply(inverse(Y),multiply(commutator(X_354,X_355),Y)))) )],[refute_0_651,refute_0_652]) ).
cnf(refute_0_654,plain,
multiply(commutator(X_391,X_392),multiply(inverse(X_58),multiply(commutator(X_392,X_391),X_58))) = commutator(X_392,commutator(X_391,X_58)),
inference(subst,[],[refute_0_653:[bind(Y,$fot(X_58)),bind(X_354,$fot(X_392)),bind(X_355,$fot(X_391))]]) ).
cnf(refute_0_655,plain,
multiply(inverse(multiply(X_367,commutator(X_65,X_66))),X_366) = multiply(commutator(X_66,X_65),multiply(commutator(X_65,X_66),multiply(inverse(multiply(X_367,commutator(X_65,X_66))),X_366))),
inference(subst,[],[refute_0_640:[bind(Z,$fot(multiply(inverse(multiply(X_367,commutator(X_65,X_66))),X_366)))]]) ).
cnf(refute_0_656,plain,
multiply(multiply(X,inverse(multiply(X_58,X))),Z) = multiply(X,multiply(inverse(multiply(X_58,X)),Z)),
inference(subst,[],[associativity:[bind(Y,$fot(inverse(multiply(X_58,X))))]]) ).
cnf(refute_0_657,plain,
multiply(X,inverse(multiply(X_58,X))) = inverse(X_58),
inference(subst,[],[refute_0_176:[bind(X_10,$fot(X_58)),bind(X_57,$fot(X))]]) ).
cnf(refute_0_658,plain,
( multiply(X,inverse(multiply(X_58,X))) != inverse(X_58)
| multiply(multiply(X,inverse(multiply(X_58,X))),Z) != multiply(X,multiply(inverse(multiply(X_58,X)),Z))
| multiply(inverse(X_58),Z) = multiply(X,multiply(inverse(multiply(X_58,X)),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X,inverse(multiply(X_58,X))),Z),multiply(X,multiply(inverse(multiply(X_58,X)),Z))) ),[0,0],$fot(inverse(X_58))]]) ).
cnf(refute_0_659,plain,
( multiply(multiply(X,inverse(multiply(X_58,X))),Z) != multiply(X,multiply(inverse(multiply(X_58,X)),Z))
| multiply(inverse(X_58),Z) = multiply(X,multiply(inverse(multiply(X_58,X)),Z)) ),
inference(resolve,[$cnf( $equal(multiply(X,inverse(multiply(X_58,X))),inverse(X_58)) )],[refute_0_657,refute_0_658]) ).
cnf(refute_0_660,plain,
multiply(inverse(X_58),Z) = multiply(X,multiply(inverse(multiply(X_58,X)),Z)),
inference(resolve,[$cnf( $equal(multiply(multiply(X,inverse(multiply(X_58,X))),Z),multiply(X,multiply(inverse(multiply(X_58,X)),Z))) )],[refute_0_656,refute_0_659]) ).
cnf(refute_0_661,plain,
multiply(inverse(X_367),X_366) = multiply(commutator(X_65,X_66),multiply(inverse(multiply(X_367,commutator(X_65,X_66))),X_366)),
inference(subst,[],[refute_0_660:[bind(X,$fot(commutator(X_65,X_66))),bind(Z,$fot(X_366)),bind(X_58,$fot(X_367))]]) ).
cnf(refute_0_662,plain,
( multiply(inverse(X_367),X_366) != multiply(commutator(X_65,X_66),multiply(inverse(multiply(X_367,commutator(X_65,X_66))),X_366))
| multiply(commutator(X_65,X_66),multiply(inverse(multiply(X_367,commutator(X_65,X_66))),X_366)) = multiply(inverse(X_367),X_366) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(inverse(X_367),X_366))),bind(Y0,$fot(multiply(commutator(X_65,X_66),multiply(inverse(multiply(X_367,commutator(X_65,X_66))),X_366))))]]) ).
cnf(refute_0_663,plain,
multiply(commutator(X_65,X_66),multiply(inverse(multiply(X_367,commutator(X_65,X_66))),X_366)) = multiply(inverse(X_367),X_366),
inference(resolve,[$cnf( $equal(multiply(inverse(X_367),X_366),multiply(commutator(X_65,X_66),multiply(inverse(multiply(X_367,commutator(X_65,X_66))),X_366))) )],[refute_0_661,refute_0_662]) ).
cnf(refute_0_664,plain,
( multiply(commutator(X_65,X_66),multiply(inverse(multiply(X_367,commutator(X_65,X_66))),X_366)) != multiply(inverse(X_367),X_366)
| multiply(inverse(multiply(X_367,commutator(X_65,X_66))),X_366) != multiply(commutator(X_66,X_65),multiply(commutator(X_65,X_66),multiply(inverse(multiply(X_367,commutator(X_65,X_66))),X_366)))
| multiply(inverse(multiply(X_367,commutator(X_65,X_66))),X_366) = multiply(commutator(X_66,X_65),multiply(inverse(X_367),X_366)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_367,commutator(X_65,X_66))),X_366),multiply(commutator(X_66,X_65),multiply(commutator(X_65,X_66),multiply(inverse(multiply(X_367,commutator(X_65,X_66))),X_366)))) ),[1,1],$fot(multiply(inverse(X_367),X_366))]]) ).
cnf(refute_0_665,plain,
( multiply(inverse(multiply(X_367,commutator(X_65,X_66))),X_366) != multiply(commutator(X_66,X_65),multiply(commutator(X_65,X_66),multiply(inverse(multiply(X_367,commutator(X_65,X_66))),X_366)))
| multiply(inverse(multiply(X_367,commutator(X_65,X_66))),X_366) = multiply(commutator(X_66,X_65),multiply(inverse(X_367),X_366)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_65,X_66),multiply(inverse(multiply(X_367,commutator(X_65,X_66))),X_366)),multiply(inverse(X_367),X_366)) )],[refute_0_663,refute_0_664]) ).
cnf(refute_0_666,plain,
multiply(inverse(multiply(X_367,commutator(X_65,X_66))),X_366) = multiply(commutator(X_66,X_65),multiply(inverse(X_367),X_366)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_367,commutator(X_65,X_66))),X_366),multiply(commutator(X_66,X_65),multiply(commutator(X_65,X_66),multiply(inverse(multiply(X_367,commutator(X_65,X_66))),X_366)))) )],[refute_0_655,refute_0_665]) ).
cnf(refute_0_667,plain,
multiply(inverse(multiply(X_58,commutator(X_392,X_391))),multiply(commutator(X_392,X_391),X_58)) = multiply(commutator(X_391,X_392),multiply(inverse(X_58),multiply(commutator(X_392,X_391),X_58))),
inference(subst,[],[refute_0_666:[bind(X_366,$fot(multiply(commutator(X_392,X_391),X_58))),bind(X_367,$fot(X_58)),bind(X_65,$fot(X_392)),bind(X_66,$fot(X_391))]]) ).
cnf(refute_0_668,plain,
( multiply(commutator(X_391,X_392),multiply(inverse(X_58),multiply(commutator(X_392,X_391),X_58))) != commutator(X_392,commutator(X_391,X_58))
| multiply(inverse(multiply(X_58,commutator(X_392,X_391))),multiply(commutator(X_392,X_391),X_58)) != multiply(commutator(X_391,X_392),multiply(inverse(X_58),multiply(commutator(X_392,X_391),X_58)))
| multiply(inverse(multiply(X_58,commutator(X_392,X_391))),multiply(commutator(X_392,X_391),X_58)) = commutator(X_392,commutator(X_391,X_58)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_58,commutator(X_392,X_391))),multiply(commutator(X_392,X_391),X_58)))),bind(Y0,$fot(multiply(commutator(X_391,X_392),multiply(inverse(X_58),multiply(commutator(X_392,X_391),X_58))))),bind(Z0,$fot(commutator(X_392,commutator(X_391,X_58))))]]) ).
cnf(refute_0_669,plain,
( multiply(commutator(X_391,X_392),multiply(inverse(X_58),multiply(commutator(X_392,X_391),X_58))) != commutator(X_392,commutator(X_391,X_58))
| multiply(inverse(multiply(X_58,commutator(X_392,X_391))),multiply(commutator(X_392,X_391),X_58)) = commutator(X_392,commutator(X_391,X_58)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_58,commutator(X_392,X_391))),multiply(commutator(X_392,X_391),X_58)),multiply(commutator(X_391,X_392),multiply(inverse(X_58),multiply(commutator(X_392,X_391),X_58)))) )],[refute_0_667,refute_0_668]) ).
cnf(refute_0_670,plain,
multiply(inverse(multiply(X_58,commutator(X_392,X_391))),multiply(commutator(X_392,X_391),X_58)) = commutator(X_392,commutator(X_391,X_58)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_391,X_392),multiply(inverse(X_58),multiply(commutator(X_392,X_391),X_58))),commutator(X_392,commutator(X_391,X_58))) )],[refute_0_654,refute_0_669]) ).
cnf(refute_0_671,plain,
multiply(inverse(X_51),Z) = multiply(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,multiply(inverse(X_51),Z)))),
inference(subst,[],[refute_0_13:[bind(X,$fot(X_50)),bind(Y,$fot(X_51)),bind(X_16,$fot(multiply(inverse(X_51),Z)))]]) ).
cnf(refute_0_672,plain,
Z = multiply(X_51,multiply(inverse(X_51),Z)),
inference(subst,[],[refute_0_141:[bind(X,$fot(X_51))]]) ).
cnf(refute_0_673,plain,
( Z != multiply(X_51,multiply(inverse(X_51),Z))
| multiply(X_51,multiply(inverse(X_51),Z)) = Z ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(Z)),bind(Y0,$fot(multiply(X_51,multiply(inverse(X_51),Z))))]]) ).
cnf(refute_0_674,plain,
multiply(X_51,multiply(inverse(X_51),Z)) = Z,
inference(resolve,[$cnf( $equal(Z,multiply(X_51,multiply(inverse(X_51),Z))) )],[refute_0_672,refute_0_673]) ).
cnf(refute_0_675,plain,
( multiply(X_51,multiply(inverse(X_51),Z)) != Z
| multiply(inverse(X_51),Z) != multiply(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,multiply(inverse(X_51),Z))))
| multiply(inverse(X_51),Z) = multiply(inverse(multiply(X_50,X_51)),multiply(X_50,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_51),Z),multiply(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,multiply(inverse(X_51),Z))))) ),[1,1,1],$fot(Z)]]) ).
cnf(refute_0_676,plain,
( multiply(inverse(X_51),Z) != multiply(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,multiply(inverse(X_51),Z))))
| multiply(inverse(X_51),Z) = multiply(inverse(multiply(X_50,X_51)),multiply(X_50,Z)) ),
inference(resolve,[$cnf( $equal(multiply(X_51,multiply(inverse(X_51),Z)),Z) )],[refute_0_674,refute_0_675]) ).
cnf(refute_0_677,plain,
multiply(inverse(X_51),Z) = multiply(inverse(multiply(X_50,X_51)),multiply(X_50,Z)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_51),Z),multiply(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,multiply(inverse(X_51),Z))))) )],[refute_0_671,refute_0_676]) ).
cnf(refute_0_678,plain,
multiply(inverse(multiply(commutator(X_354,X_355),X_353)),Z) = multiply(inverse(multiply(commutator(X_355,X_354),multiply(commutator(X_354,X_355),X_353))),multiply(commutator(X_355,X_354),Z)),
inference(subst,[],[refute_0_677:[bind(X_50,$fot(commutator(X_355,X_354))),bind(X_51,$fot(multiply(commutator(X_354,X_355),X_353)))]]) ).
cnf(refute_0_679,plain,
X_353 = multiply(commutator(X_355,X_354),multiply(commutator(X_354,X_355),X_353)),
inference(subst,[],[refute_0_640:[bind(Z,$fot(X_353)),bind(X_65,$fot(X_354)),bind(X_66,$fot(X_355))]]) ).
cnf(refute_0_680,plain,
( X_353 != multiply(commutator(X_355,X_354),multiply(commutator(X_354,X_355),X_353))
| multiply(commutator(X_355,X_354),multiply(commutator(X_354,X_355),X_353)) = X_353 ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(X_353)),bind(Y0,$fot(multiply(commutator(X_355,X_354),multiply(commutator(X_354,X_355),X_353))))]]) ).
cnf(refute_0_681,plain,
multiply(commutator(X_355,X_354),multiply(commutator(X_354,X_355),X_353)) = X_353,
inference(resolve,[$cnf( $equal(X_353,multiply(commutator(X_355,X_354),multiply(commutator(X_354,X_355),X_353))) )],[refute_0_679,refute_0_680]) ).
cnf(refute_0_682,plain,
( multiply(commutator(X_355,X_354),multiply(commutator(X_354,X_355),X_353)) != X_353
| multiply(inverse(multiply(commutator(X_354,X_355),X_353)),Z) != multiply(inverse(multiply(commutator(X_355,X_354),multiply(commutator(X_354,X_355),X_353))),multiply(commutator(X_355,X_354),Z))
| multiply(inverse(multiply(commutator(X_354,X_355),X_353)),Z) = multiply(inverse(X_353),multiply(commutator(X_355,X_354),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(commutator(X_354,X_355),X_353)),Z),multiply(inverse(multiply(commutator(X_355,X_354),multiply(commutator(X_354,X_355),X_353))),multiply(commutator(X_355,X_354),Z))) ),[1,0,0],$fot(X_353)]]) ).
cnf(refute_0_683,plain,
( multiply(inverse(multiply(commutator(X_354,X_355),X_353)),Z) != multiply(inverse(multiply(commutator(X_355,X_354),multiply(commutator(X_354,X_355),X_353))),multiply(commutator(X_355,X_354),Z))
| multiply(inverse(multiply(commutator(X_354,X_355),X_353)),Z) = multiply(inverse(X_353),multiply(commutator(X_355,X_354),Z)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_355,X_354),multiply(commutator(X_354,X_355),X_353)),X_353) )],[refute_0_681,refute_0_682]) ).
cnf(refute_0_684,plain,
multiply(inverse(multiply(commutator(X_354,X_355),X_353)),Z) = multiply(inverse(X_353),multiply(commutator(X_355,X_354),Z)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(commutator(X_354,X_355),X_353)),Z),multiply(inverse(multiply(commutator(X_355,X_354),multiply(commutator(X_354,X_355),X_353))),multiply(commutator(X_355,X_354),Z))) )],[refute_0_678,refute_0_683]) ).
cnf(refute_0_685,plain,
multiply(inverse(multiply(commutator(X_391,X_392),multiply(X_58,commutator(X_392,X_391)))),X_58) = multiply(inverse(multiply(X_58,commutator(X_392,X_391))),multiply(commutator(X_392,X_391),X_58)),
inference(subst,[],[refute_0_684:[bind(Z,$fot(X_58)),bind(X_353,$fot(multiply(X_58,commutator(X_392,X_391)))),bind(X_354,$fot(X_391)),bind(X_355,$fot(X_392))]]) ).
cnf(refute_0_686,plain,
( multiply(inverse(multiply(X_58,commutator(X_392,X_391))),multiply(commutator(X_392,X_391),X_58)) != commutator(X_392,commutator(X_391,X_58))
| multiply(inverse(multiply(commutator(X_391,X_392),multiply(X_58,commutator(X_392,X_391)))),X_58) != multiply(inverse(multiply(X_58,commutator(X_392,X_391))),multiply(commutator(X_392,X_391),X_58))
| multiply(inverse(multiply(commutator(X_391,X_392),multiply(X_58,commutator(X_392,X_391)))),X_58) = commutator(X_392,commutator(X_391,X_58)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(commutator(X_391,X_392),multiply(X_58,commutator(X_392,X_391)))),X_58))),bind(Y0,$fot(multiply(inverse(multiply(X_58,commutator(X_392,X_391))),multiply(commutator(X_392,X_391),X_58)))),bind(Z0,$fot(commutator(X_392,commutator(X_391,X_58))))]]) ).
cnf(refute_0_687,plain,
( multiply(inverse(multiply(X_58,commutator(X_392,X_391))),multiply(commutator(X_392,X_391),X_58)) != commutator(X_392,commutator(X_391,X_58))
| multiply(inverse(multiply(commutator(X_391,X_392),multiply(X_58,commutator(X_392,X_391)))),X_58) = commutator(X_392,commutator(X_391,X_58)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(commutator(X_391,X_392),multiply(X_58,commutator(X_392,X_391)))),X_58),multiply(inverse(multiply(X_58,commutator(X_392,X_391))),multiply(commutator(X_392,X_391),X_58))) )],[refute_0_685,refute_0_686]) ).
cnf(refute_0_688,plain,
multiply(inverse(multiply(commutator(X_391,X_392),multiply(X_58,commutator(X_392,X_391)))),X_58) = commutator(X_392,commutator(X_391,X_58)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_58,commutator(X_392,X_391))),multiply(commutator(X_392,X_391),X_58)),commutator(X_392,commutator(X_391,X_58))) )],[refute_0_670,refute_0_687]) ).
cnf(refute_0_689,plain,
( multiply(inverse(multiply(commutator(X_391,X_392),multiply(X_58,commutator(X_392,X_391)))),X_58) != commutator(X_392,commutator(X_391,X_58))
| multiply(inverse(multiply(commutator(X_391,X_392),multiply(X_58,commutator(X_392,X_391)))),X_58) != inverse(commutator(X_391,commutator(X_392,X_58)))
| commutator(X_392,commutator(X_391,X_58)) = inverse(commutator(X_391,commutator(X_392,X_58))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(commutator(X_391,X_392),multiply(X_58,commutator(X_392,X_391)))),X_58),inverse(commutator(X_391,commutator(X_392,X_58)))) ),[0],$fot(commutator(X_392,commutator(X_391,X_58)))]]) ).
cnf(refute_0_690,plain,
( multiply(inverse(multiply(commutator(X_391,X_392),multiply(X_58,commutator(X_392,X_391)))),X_58) != inverse(commutator(X_391,commutator(X_392,X_58)))
| commutator(X_392,commutator(X_391,X_58)) = inverse(commutator(X_391,commutator(X_392,X_58))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(commutator(X_391,X_392),multiply(X_58,commutator(X_392,X_391)))),X_58),commutator(X_392,commutator(X_391,X_58))) )],[refute_0_688,refute_0_689]) ).
cnf(refute_0_691,plain,
commutator(commutator(X_392,X_58),X_391) = commutator(X_392,commutator(X_58,X_391)),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(X_392)),bind(Y,$fot(X_58)),bind(Z,$fot(X_391))]]) ).
cnf(refute_0_692,plain,
inverse(commutator(X_391,commutator(X_392,X_58))) = commutator(commutator(X_392,X_58),X_391),
inference(subst,[],[refute_0_386:[bind(X,$fot(commutator(X_392,X_58))),bind(Y,$fot(X_391))]]) ).
cnf(refute_0_693,plain,
( commutator(commutator(X_392,X_58),X_391) != commutator(X_392,commutator(X_58,X_391))
| inverse(commutator(X_391,commutator(X_392,X_58))) != commutator(commutator(X_392,X_58),X_391)
| inverse(commutator(X_391,commutator(X_392,X_58))) = commutator(X_392,commutator(X_58,X_391)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(commutator(X_391,commutator(X_392,X_58))))),bind(Y0,$fot(commutator(commutator(X_392,X_58),X_391))),bind(Z0,$fot(commutator(X_392,commutator(X_58,X_391))))]]) ).
cnf(refute_0_694,plain,
( commutator(commutator(X_392,X_58),X_391) != commutator(X_392,commutator(X_58,X_391))
| inverse(commutator(X_391,commutator(X_392,X_58))) = commutator(X_392,commutator(X_58,X_391)) ),
inference(resolve,[$cnf( $equal(inverse(commutator(X_391,commutator(X_392,X_58))),commutator(commutator(X_392,X_58),X_391)) )],[refute_0_692,refute_0_693]) ).
cnf(refute_0_695,plain,
inverse(commutator(X_391,commutator(X_392,X_58))) = commutator(X_392,commutator(X_58,X_391)),
inference(resolve,[$cnf( $equal(commutator(commutator(X_392,X_58),X_391),commutator(X_392,commutator(X_58,X_391))) )],[refute_0_691,refute_0_694]) ).
cnf(refute_0_696,plain,
( commutator(X_392,commutator(X_391,X_58)) != inverse(commutator(X_391,commutator(X_392,X_58)))
| inverse(commutator(X_391,commutator(X_392,X_58))) != commutator(X_392,commutator(X_58,X_391))
| commutator(X_392,commutator(X_391,X_58)) = commutator(X_392,commutator(X_58,X_391)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(X_392,commutator(X_391,X_58)),commutator(X_392,commutator(X_58,X_391))) ),[0],$fot(inverse(commutator(X_391,commutator(X_392,X_58))))]]) ).
cnf(refute_0_697,plain,
( commutator(X_392,commutator(X_391,X_58)) != inverse(commutator(X_391,commutator(X_392,X_58)))
| commutator(X_392,commutator(X_391,X_58)) = commutator(X_392,commutator(X_58,X_391)) ),
inference(resolve,[$cnf( $equal(inverse(commutator(X_391,commutator(X_392,X_58))),commutator(X_392,commutator(X_58,X_391))) )],[refute_0_695,refute_0_696]) ).
cnf(refute_0_698,plain,
( multiply(inverse(multiply(commutator(X_391,X_392),multiply(X_58,commutator(X_392,X_391)))),X_58) != inverse(commutator(X_391,commutator(X_392,X_58)))
| commutator(X_392,commutator(X_391,X_58)) = commutator(X_392,commutator(X_58,X_391)) ),
inference(resolve,[$cnf( $equal(commutator(X_392,commutator(X_391,X_58)),inverse(commutator(X_391,commutator(X_392,X_58)))) )],[refute_0_690,refute_0_697]) ).
cnf(refute_0_699,plain,
commutator(X_392,commutator(X_391,X_58)) = commutator(X_392,commutator(X_58,X_391)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(commutator(X_391,X_392),multiply(X_58,commutator(X_392,X_391)))),X_58),inverse(commutator(X_391,commutator(X_392,X_58)))) )],[refute_0_636,refute_0_698]) ).
cnf(refute_0_700,plain,
commutator(X,commutator(X_539,X_541)) = commutator(X,commutator(X_541,X_539)),
inference(subst,[],[refute_0_699:[bind(X_391,$fot(X_539)),bind(X_392,$fot(X)),bind(X_58,$fot(X_541))]]) ).
cnf(refute_0_701,plain,
( multiply(X,commutator(X_539,X_541)) != multiply(commutator(X_539,X_541),multiply(X,commutator(X,commutator(X_539,X_541))))
| commutator(X,commutator(X_539,X_541)) != commutator(X,commutator(X_541,X_539))
| multiply(X,commutator(X_539,X_541)) = multiply(commutator(X_539,X_541),multiply(X,commutator(X,commutator(X_541,X_539)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,commutator(X_539,X_541)),multiply(commutator(X_539,X_541),multiply(X,commutator(X,commutator(X_539,X_541))))) ),[1,1,1],$fot(commutator(X,commutator(X_541,X_539)))]]) ).
cnf(refute_0_702,plain,
( multiply(X,commutator(X_539,X_541)) != multiply(commutator(X_539,X_541),multiply(X,commutator(X,commutator(X_539,X_541))))
| multiply(X,commutator(X_539,X_541)) = multiply(commutator(X_539,X_541),multiply(X,commutator(X,commutator(X_541,X_539)))) ),
inference(resolve,[$cnf( $equal(commutator(X,commutator(X_539,X_541)),commutator(X,commutator(X_541,X_539))) )],[refute_0_700,refute_0_701]) ).
cnf(refute_0_703,plain,
multiply(X,commutator(X_539,X_541)) = multiply(commutator(X_539,X_541),multiply(X,commutator(X,commutator(X_541,X_539)))),
inference(resolve,[$cnf( $equal(multiply(X,commutator(X_539,X_541)),multiply(commutator(X_539,X_541),multiply(X,commutator(X,commutator(X_539,X_541))))) )],[refute_0_195,refute_0_702]) ).
cnf(refute_0_704,plain,
multiply(X,identity) = X,
inference(subst,[],[refute_0_100:[bind(X_16,$fot(X))]]) ).
cnf(refute_0_705,plain,
commutator(multiply(X_9,X_10),Y) = multiply(inverse(multiply(X_9,X_10)),multiply(inverse(Y),multiply(multiply(X_9,X_10),Y))),
inference(subst,[],[name:[bind(X,$fot(multiply(X_9,X_10)))]]) ).
cnf(refute_0_706,plain,
multiply(multiply(X_9,X_10),Y) = multiply(X_9,multiply(X_10,Y)),
inference(subst,[],[associativity:[bind(X,$fot(X_9)),bind(Y,$fot(X_10)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_707,plain,
( multiply(multiply(X_9,X_10),Y) != multiply(X_9,multiply(X_10,Y))
| commutator(multiply(X_9,X_10),Y) != multiply(inverse(multiply(X_9,X_10)),multiply(inverse(Y),multiply(multiply(X_9,X_10),Y)))
| commutator(multiply(X_9,X_10),Y) = multiply(inverse(multiply(X_9,X_10)),multiply(inverse(Y),multiply(X_9,multiply(X_10,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_9,X_10),Y),multiply(inverse(multiply(X_9,X_10)),multiply(inverse(Y),multiply(multiply(X_9,X_10),Y)))) ),[1,1,1],$fot(multiply(X_9,multiply(X_10,Y)))]]) ).
cnf(refute_0_708,plain,
( commutator(multiply(X_9,X_10),Y) != multiply(inverse(multiply(X_9,X_10)),multiply(inverse(Y),multiply(multiply(X_9,X_10),Y)))
| commutator(multiply(X_9,X_10),Y) = multiply(inverse(multiply(X_9,X_10)),multiply(inverse(Y),multiply(X_9,multiply(X_10,Y)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_9,X_10),Y),multiply(X_9,multiply(X_10,Y))) )],[refute_0_706,refute_0_707]) ).
cnf(refute_0_709,plain,
commutator(multiply(X_9,X_10),Y) = multiply(inverse(multiply(X_9,X_10)),multiply(inverse(Y),multiply(X_9,multiply(X_10,Y)))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_9,X_10),Y),multiply(inverse(multiply(X_9,X_10)),multiply(inverse(Y),multiply(multiply(X_9,X_10),Y)))) )],[refute_0_705,refute_0_708]) ).
cnf(refute_0_710,plain,
multiply(inverse(multiply(X_9,X_10)),multiply(inverse(Y),multiply(X_9,multiply(X_10,Y)))) = multiply(inverse(multiply(Y,multiply(X_9,X_10))),multiply(X_9,multiply(X_10,Y))),
inference(subst,[],[refute_0_242:[bind(Z,$fot(multiply(X_9,multiply(X_10,Y)))),bind(X_62,$fot(multiply(X_9,X_10))),bind(X_63,$fot(Y))]]) ).
cnf(refute_0_711,plain,
( multiply(inverse(multiply(X_9,X_10)),multiply(inverse(Y),multiply(X_9,multiply(X_10,Y)))) != multiply(inverse(multiply(Y,multiply(X_9,X_10))),multiply(X_9,multiply(X_10,Y)))
| commutator(multiply(X_9,X_10),Y) != multiply(inverse(multiply(X_9,X_10)),multiply(inverse(Y),multiply(X_9,multiply(X_10,Y))))
| commutator(multiply(X_9,X_10),Y) = multiply(inverse(multiply(Y,multiply(X_9,X_10))),multiply(X_9,multiply(X_10,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_9,X_10),Y),multiply(inverse(multiply(X_9,X_10)),multiply(inverse(Y),multiply(X_9,multiply(X_10,Y))))) ),[1],$fot(multiply(inverse(multiply(Y,multiply(X_9,X_10))),multiply(X_9,multiply(X_10,Y))))]]) ).
cnf(refute_0_712,plain,
( commutator(multiply(X_9,X_10),Y) != multiply(inverse(multiply(X_9,X_10)),multiply(inverse(Y),multiply(X_9,multiply(X_10,Y))))
| commutator(multiply(X_9,X_10),Y) = multiply(inverse(multiply(Y,multiply(X_9,X_10))),multiply(X_9,multiply(X_10,Y))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_9,X_10)),multiply(inverse(Y),multiply(X_9,multiply(X_10,Y)))),multiply(inverse(multiply(Y,multiply(X_9,X_10))),multiply(X_9,multiply(X_10,Y)))) )],[refute_0_710,refute_0_711]) ).
cnf(refute_0_713,plain,
commutator(multiply(X_9,X_10),Y) = multiply(inverse(multiply(Y,multiply(X_9,X_10))),multiply(X_9,multiply(X_10,Y))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_9,X_10),Y),multiply(inverse(multiply(X_9,X_10)),multiply(inverse(Y),multiply(X_9,multiply(X_10,Y))))) )],[refute_0_709,refute_0_712]) ).
cnf(refute_0_714,plain,
commutator(multiply(inverse(multiply(X,Y)),multiply(Y,X)),X_160) = multiply(inverse(multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))),multiply(inverse(multiply(X,Y)),multiply(multiply(Y,X),X_160))),
inference(subst,[],[refute_0_713:[bind(Y,$fot(X_160)),bind(X_10,$fot(multiply(Y,X))),bind(X_9,$fot(inverse(multiply(X,Y))))]]) ).
cnf(refute_0_715,plain,
inverse(commutator(X,Y)) = commutator(Y,X),
inference(subst,[],[refute_0_386:[bind(X,$fot(Y)),bind(Y,$fot(X))]]) ).
cnf(refute_0_716,plain,
( inverse(commutator(X,Y)) != multiply(inverse(multiply(X,Y)),multiply(Y,X))
| inverse(commutator(X,Y)) != commutator(Y,X)
| commutator(Y,X) = multiply(inverse(multiply(X,Y)),multiply(Y,X)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(commutator(X,Y)),multiply(inverse(multiply(X,Y)),multiply(Y,X))) ),[0],$fot(commutator(Y,X))]]) ).
cnf(refute_0_717,plain,
( inverse(commutator(X,Y)) != multiply(inverse(multiply(X,Y)),multiply(Y,X))
| commutator(Y,X) = multiply(inverse(multiply(X,Y)),multiply(Y,X)) ),
inference(resolve,[$cnf( $equal(inverse(commutator(X,Y)),commutator(Y,X)) )],[refute_0_715,refute_0_716]) ).
cnf(refute_0_718,plain,
commutator(Y,X) = multiply(inverse(multiply(X,Y)),multiply(Y,X)),
inference(resolve,[$cnf( $equal(inverse(commutator(X,Y)),multiply(inverse(multiply(X,Y)),multiply(Y,X))) )],[refute_0_313,refute_0_717]) ).
cnf(refute_0_719,plain,
( commutator(Y,X) != multiply(inverse(multiply(X,Y)),multiply(Y,X))
| multiply(inverse(multiply(X,Y)),multiply(Y,X)) = commutator(Y,X) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(Y,X))),bind(Y0,$fot(multiply(inverse(multiply(X,Y)),multiply(Y,X))))]]) ).
cnf(refute_0_720,plain,
multiply(inverse(multiply(X,Y)),multiply(Y,X)) = commutator(Y,X),
inference(resolve,[$cnf( $equal(commutator(Y,X),multiply(inverse(multiply(X,Y)),multiply(Y,X))) )],[refute_0_718,refute_0_719]) ).
cnf(refute_0_721,plain,
( multiply(inverse(multiply(X,Y)),multiply(Y,X)) != commutator(Y,X)
| commutator(multiply(inverse(multiply(X,Y)),multiply(Y,X)),X_160) != multiply(inverse(multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))),multiply(inverse(multiply(X,Y)),multiply(multiply(Y,X),X_160)))
| commutator(commutator(Y,X),X_160) = multiply(inverse(multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))),multiply(inverse(multiply(X,Y)),multiply(multiply(Y,X),X_160))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(multiply(X,Y)),multiply(Y,X)),X_160),multiply(inverse(multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))),multiply(inverse(multiply(X,Y)),multiply(multiply(Y,X),X_160)))) ),[0,0],$fot(commutator(Y,X))]]) ).
cnf(refute_0_722,plain,
( commutator(multiply(inverse(multiply(X,Y)),multiply(Y,X)),X_160) != multiply(inverse(multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))),multiply(inverse(multiply(X,Y)),multiply(multiply(Y,X),X_160)))
| commutator(commutator(Y,X),X_160) = multiply(inverse(multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))),multiply(inverse(multiply(X,Y)),multiply(multiply(Y,X),X_160))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X,Y)),multiply(Y,X)),commutator(Y,X)) )],[refute_0_720,refute_0_721]) ).
cnf(refute_0_723,plain,
commutator(commutator(Y,X),X_160) = multiply(inverse(multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))),multiply(inverse(multiply(X,Y)),multiply(multiply(Y,X),X_160))),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(multiply(X,Y)),multiply(Y,X)),X_160),multiply(inverse(multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))),multiply(inverse(multiply(X,Y)),multiply(multiply(Y,X),X_160)))) )],[refute_0_714,refute_0_722]) ).
cnf(refute_0_724,plain,
commutator(commutator(Y,X),X_160) = commutator(Y,commutator(X,X_160)),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(Y)),bind(Y,$fot(X)),bind(Z,$fot(X_160))]]) ).
cnf(refute_0_725,plain,
( commutator(commutator(Y,X),X_160) != multiply(inverse(multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))),multiply(inverse(multiply(X,Y)),multiply(multiply(Y,X),X_160)))
| commutator(commutator(Y,X),X_160) != commutator(Y,commutator(X,X_160))
| commutator(Y,commutator(X,X_160)) = multiply(inverse(multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))),multiply(inverse(multiply(X,Y)),multiply(multiply(Y,X),X_160))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(Y,X),X_160),multiply(inverse(multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))),multiply(inverse(multiply(X,Y)),multiply(multiply(Y,X),X_160)))) ),[0],$fot(commutator(Y,commutator(X,X_160)))]]) ).
cnf(refute_0_726,plain,
( commutator(commutator(Y,X),X_160) != multiply(inverse(multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))),multiply(inverse(multiply(X,Y)),multiply(multiply(Y,X),X_160)))
| commutator(Y,commutator(X,X_160)) = multiply(inverse(multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))),multiply(inverse(multiply(X,Y)),multiply(multiply(Y,X),X_160))) ),
inference(resolve,[$cnf( $equal(commutator(commutator(Y,X),X_160),commutator(Y,commutator(X,X_160))) )],[refute_0_724,refute_0_725]) ).
cnf(refute_0_727,plain,
multiply(multiply(Y,X),X_160) = multiply(Y,multiply(X,X_160)),
inference(subst,[],[associativity:[bind(X,$fot(Y)),bind(Y,$fot(X)),bind(Z,$fot(X_160))]]) ).
cnf(refute_0_728,plain,
multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(multiply(Y,X),X_160)) = multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(multiply(Y,X),X_160)),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(multiply(Y,X),X_160)))]]) ).
cnf(refute_0_729,plain,
( multiply(multiply(Y,X),X_160) != multiply(Y,multiply(X,X_160))
| multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(multiply(Y,X),X_160)) != multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(multiply(Y,X),X_160))
| multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(multiply(Y,X),X_160)) = multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(Y,multiply(X,X_160))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(multiply(Y,X),X_160)),multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(multiply(Y,X),X_160))) ),[1,1],$fot(multiply(Y,multiply(X,X_160)))]]) ).
cnf(refute_0_730,plain,
( multiply(multiply(Y,X),X_160) != multiply(Y,multiply(X,X_160))
| multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(multiply(Y,X),X_160)) = multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(Y,multiply(X,X_160))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(multiply(Y,X),X_160)),multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(multiply(Y,X),X_160))) )],[refute_0_728,refute_0_729]) ).
cnf(refute_0_731,plain,
multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(multiply(Y,X),X_160)) = multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(Y,multiply(X,X_160))),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,X),X_160),multiply(Y,multiply(X,X_160))) )],[refute_0_727,refute_0_730]) ).
cnf(refute_0_732,plain,
multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))) = multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))),
introduced(tautology,[refl,[$fot(multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))]]) ).
cnf(refute_0_733,plain,
( multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))) != multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))
| multiply(inverse(multiply(X,Y)),multiply(Y,X)) != commutator(Y,X)
| multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))) = multiply(X_160,commutator(Y,X)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))) ),[1,1],$fot(commutator(Y,X))]]) ).
cnf(refute_0_734,plain,
( multiply(inverse(multiply(X,Y)),multiply(Y,X)) != commutator(Y,X)
| multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))) = multiply(X_160,commutator(Y,X)) ),
inference(resolve,[$cnf( $equal(multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))) )],[refute_0_732,refute_0_733]) ).
cnf(refute_0_735,plain,
multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))) = multiply(X_160,commutator(Y,X)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X,Y)),multiply(Y,X)),commutator(Y,X)) )],[refute_0_720,refute_0_734]) ).
cnf(refute_0_736,plain,
multiply(Y,multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))) = multiply(Y,multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))),
introduced(tautology,[refl,[$fot(multiply(Y,multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))))]]) ).
cnf(refute_0_737,plain,
( multiply(Y,multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))) != multiply(Y,multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))
| multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))) != multiply(X_160,commutator(Y,X))
| multiply(Y,multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))) = multiply(Y,multiply(X_160,commutator(Y,X))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Y,multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))),multiply(Y,multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))) ),[1,1],$fot(multiply(X_160,commutator(Y,X)))]]) ).
cnf(refute_0_738,plain,
( multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))) != multiply(X_160,commutator(Y,X))
| multiply(Y,multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))) = multiply(Y,multiply(X_160,commutator(Y,X))) ),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))),multiply(Y,multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))) )],[refute_0_736,refute_0_737]) ).
cnf(refute_0_739,plain,
multiply(Y,multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))) = multiply(Y,multiply(X_160,commutator(Y,X))),
inference(resolve,[$cnf( $equal(multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))),multiply(X_160,commutator(Y,X))) )],[refute_0_735,refute_0_738]) ).
cnf(refute_0_740,plain,
multiply(X,multiply(Y,multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))) = multiply(X,multiply(Y,multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))),
introduced(tautology,[refl,[$fot(multiply(X,multiply(Y,multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))))]]) ).
cnf(refute_0_741,plain,
( multiply(X,multiply(Y,multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))) != multiply(X,multiply(Y,multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))))
| multiply(Y,multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))) != multiply(Y,multiply(X_160,commutator(Y,X)))
| multiply(X,multiply(Y,multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))) = multiply(X,multiply(Y,multiply(X_160,commutator(Y,X)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(Y,multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))),multiply(X,multiply(Y,multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))))) ),[1,1],$fot(multiply(Y,multiply(X_160,commutator(Y,X))))]]) ).
cnf(refute_0_742,plain,
( multiply(Y,multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))) != multiply(Y,multiply(X_160,commutator(Y,X)))
| multiply(X,multiply(Y,multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))) = multiply(X,multiply(Y,multiply(X_160,commutator(Y,X)))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(Y,multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))),multiply(X,multiply(Y,multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))))) )],[refute_0_740,refute_0_741]) ).
cnf(refute_0_743,plain,
multiply(X,multiply(Y,multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))) = multiply(X,multiply(Y,multiply(X_160,commutator(Y,X)))),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))),multiply(Y,multiply(X_160,commutator(Y,X)))) )],[refute_0_739,refute_0_742]) ).
cnf(refute_0_744,plain,
multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))) = multiply(X,multiply(Y,multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))),
inference(subst,[],[associativity:[bind(Z,$fot(multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))))]]) ).
cnf(refute_0_745,plain,
( multiply(X,multiply(Y,multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))) != multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))
| multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))) != multiply(X,multiply(Y,multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))))
| multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))) = multiply(X,multiply(Y,multiply(X_160,commutator(Y,X)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))))),bind(Y0,$fot(multiply(X,multiply(Y,multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))))),bind(Z0,$fot(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))))]]) ).
cnf(refute_0_746,plain,
( multiply(X,multiply(Y,multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))) != multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))
| multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))) = multiply(X,multiply(Y,multiply(X_160,commutator(Y,X)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))),multiply(X,multiply(Y,multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))))) )],[refute_0_744,refute_0_745]) ).
cnf(refute_0_747,plain,
multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))) = multiply(X,multiply(Y,multiply(X_160,commutator(Y,X)))),
inference(resolve,[$cnf( $equal(multiply(X,multiply(Y,multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))),multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))) )],[refute_0_743,refute_0_746]) ).
cnf(refute_0_748,plain,
inverse(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))) = inverse(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))))]]) ).
cnf(refute_0_749,plain,
( multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))) != multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))
| inverse(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))) != inverse(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))))
| inverse(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))) = inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))),inverse(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))))) ),[1,0],$fot(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X)))))]]) ).
cnf(refute_0_750,plain,
( multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))) != multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))
| inverse(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))) = inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))),inverse(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))))) )],[refute_0_748,refute_0_749]) ).
cnf(refute_0_751,plain,
inverse(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))) = inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))),multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))) )],[refute_0_747,refute_0_750]) ).
cnf(refute_0_752,plain,
multiply(inverse(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))),multiply(multiply(Y,X),X_160)) = multiply(inverse(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))),multiply(multiply(Y,X),X_160)),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))),multiply(multiply(Y,X),X_160)))]]) ).
cnf(refute_0_753,plain,
( multiply(inverse(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))),multiply(multiply(Y,X),X_160)) != multiply(inverse(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))),multiply(multiply(Y,X),X_160))
| inverse(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))) != inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X)))))
| multiply(inverse(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))),multiply(multiply(Y,X),X_160)) = multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(multiply(Y,X),X_160)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))),multiply(multiply(Y,X),X_160)),multiply(inverse(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))),multiply(multiply(Y,X),X_160))) ),[1,0],$fot(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))))]]) ).
cnf(refute_0_754,plain,
( inverse(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))) != inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X)))))
| multiply(inverse(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))),multiply(multiply(Y,X),X_160)) = multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(multiply(Y,X),X_160)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))),multiply(multiply(Y,X),X_160)),multiply(inverse(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))),multiply(multiply(Y,X),X_160))) )],[refute_0_752,refute_0_753]) ).
cnf(refute_0_755,plain,
multiply(inverse(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))),multiply(multiply(Y,X),X_160)) = multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(multiply(Y,X),X_160)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))),inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X)))))) )],[refute_0_751,refute_0_754]) ).
cnf(refute_0_756,plain,
( multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(multiply(Y,X),X_160)) != multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(Y,multiply(X,X_160)))
| multiply(inverse(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))),multiply(multiply(Y,X),X_160)) != multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(multiply(Y,X),X_160))
| multiply(inverse(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))),multiply(multiply(Y,X),X_160)) = multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(Y,multiply(X,X_160))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))),multiply(multiply(Y,X),X_160)))),bind(Y0,$fot(multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(multiply(Y,X),X_160)))),bind(Z0,$fot(multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(Y,multiply(X,X_160)))))]]) ).
cnf(refute_0_757,plain,
( multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(multiply(Y,X),X_160)) != multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(Y,multiply(X,X_160)))
| multiply(inverse(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))),multiply(multiply(Y,X),X_160)) = multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(Y,multiply(X,X_160))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))),multiply(multiply(Y,X),X_160)),multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(multiply(Y,X),X_160))) )],[refute_0_755,refute_0_756]) ).
cnf(refute_0_758,plain,
multiply(inverse(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))),multiply(multiply(Y,X),X_160)) = multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(Y,multiply(X,X_160))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(multiply(Y,X),X_160)),multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(Y,multiply(X,X_160)))) )],[refute_0_731,refute_0_757]) ).
cnf(refute_0_759,plain,
multiply(inverse(multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))),multiply(inverse(multiply(X,Y)),multiply(multiply(Y,X),X_160))) = multiply(inverse(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))),multiply(multiply(Y,X),X_160)),
inference(subst,[],[refute_0_242:[bind(Z,$fot(multiply(multiply(Y,X),X_160))),bind(X_62,$fot(multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))),bind(X_63,$fot(multiply(X,Y)))]]) ).
cnf(refute_0_760,plain,
( multiply(inverse(multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))),multiply(inverse(multiply(X,Y)),multiply(multiply(Y,X),X_160))) != multiply(inverse(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))),multiply(multiply(Y,X),X_160))
| multiply(inverse(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))),multiply(multiply(Y,X),X_160)) != multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(Y,multiply(X,X_160)))
| multiply(inverse(multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))),multiply(inverse(multiply(X,Y)),multiply(multiply(Y,X),X_160))) = multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(Y,multiply(X,X_160))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))),multiply(inverse(multiply(X,Y)),multiply(multiply(Y,X),X_160))))),bind(Y0,$fot(multiply(inverse(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))),multiply(multiply(Y,X),X_160)))),bind(Z0,$fot(multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(Y,multiply(X,X_160)))))]]) ).
cnf(refute_0_761,plain,
( multiply(inverse(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))),multiply(multiply(Y,X),X_160)) != multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(Y,multiply(X,X_160)))
| multiply(inverse(multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))),multiply(inverse(multiply(X,Y)),multiply(multiply(Y,X),X_160))) = multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(Y,multiply(X,X_160))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))),multiply(inverse(multiply(X,Y)),multiply(multiply(Y,X),X_160))),multiply(inverse(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))),multiply(multiply(Y,X),X_160))) )],[refute_0_759,refute_0_760]) ).
cnf(refute_0_762,plain,
multiply(inverse(multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))),multiply(inverse(multiply(X,Y)),multiply(multiply(Y,X),X_160))) = multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(Y,multiply(X,X_160))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X,Y),multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X))))),multiply(multiply(Y,X),X_160)),multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(Y,multiply(X,X_160)))) )],[refute_0_758,refute_0_761]) ).
cnf(refute_0_763,plain,
( multiply(inverse(multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))),multiply(inverse(multiply(X,Y)),multiply(multiply(Y,X),X_160))) != multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(Y,multiply(X,X_160)))
| commutator(Y,commutator(X,X_160)) != multiply(inverse(multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))),multiply(inverse(multiply(X,Y)),multiply(multiply(Y,X),X_160)))
| commutator(Y,commutator(X,X_160)) = multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(Y,multiply(X,X_160))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(Y,commutator(X,X_160)),multiply(inverse(multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))),multiply(inverse(multiply(X,Y)),multiply(multiply(Y,X),X_160)))) ),[1],$fot(multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(Y,multiply(X,X_160))))]]) ).
cnf(refute_0_764,plain,
( commutator(Y,commutator(X,X_160)) != multiply(inverse(multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))),multiply(inverse(multiply(X,Y)),multiply(multiply(Y,X),X_160)))
| commutator(Y,commutator(X,X_160)) = multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(Y,multiply(X,X_160))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))),multiply(inverse(multiply(X,Y)),multiply(multiply(Y,X),X_160))),multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(Y,multiply(X,X_160)))) )],[refute_0_762,refute_0_763]) ).
cnf(refute_0_765,plain,
( commutator(commutator(Y,X),X_160) != multiply(inverse(multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))),multiply(inverse(multiply(X,Y)),multiply(multiply(Y,X),X_160)))
| commutator(Y,commutator(X,X_160)) = multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(Y,multiply(X,X_160))) ),
inference(resolve,[$cnf( $equal(commutator(Y,commutator(X,X_160)),multiply(inverse(multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))),multiply(inverse(multiply(X,Y)),multiply(multiply(Y,X),X_160)))) )],[refute_0_726,refute_0_764]) ).
cnf(refute_0_766,plain,
commutator(Y,commutator(X,X_160)) = multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(Y,multiply(X,X_160))),
inference(resolve,[$cnf( $equal(commutator(commutator(Y,X),X_160),multiply(inverse(multiply(X_160,multiply(inverse(multiply(X,Y)),multiply(Y,X)))),multiply(inverse(multiply(X,Y)),multiply(multiply(Y,X),X_160)))) )],[refute_0_723,refute_0_765]) ).
cnf(refute_0_767,plain,
commutator(X_471,commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))) = multiply(inverse(multiply(X_470,multiply(X_471,multiply(inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))),commutator(X_471,X_470))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))),
inference(subst,[],[refute_0_766:[bind(X,$fot(X_470)),bind(Y,$fot(X_471)),bind(X_160,$fot(inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))]]) ).
cnf(refute_0_768,plain,
multiply(inverse(Y),inverse(multiply(inverse(Y),multiply(X_27,Y)))) = inverse(multiply(multiply(X_27,Y),commutator(inverse(Y),multiply(X_27,Y)))),
inference(subst,[],[refute_0_598:[bind(X_10,$fot(multiply(X_27,Y))),bind(X_58,$fot(inverse(Y)))]]) ).
cnf(refute_0_769,plain,
( multiply(inverse(Y),multiply(X_27,Y)) != multiply(X_27,commutator(X_27,Y))
| multiply(inverse(Y),inverse(multiply(inverse(Y),multiply(X_27,Y)))) != inverse(multiply(multiply(X_27,Y),commutator(inverse(Y),multiply(X_27,Y))))
| multiply(inverse(Y),inverse(multiply(X_27,commutator(X_27,Y)))) = inverse(multiply(multiply(X_27,Y),commutator(inverse(Y),multiply(X_27,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(Y),inverse(multiply(inverse(Y),multiply(X_27,Y)))),inverse(multiply(multiply(X_27,Y),commutator(inverse(Y),multiply(X_27,Y))))) ),[0,1,0],$fot(multiply(X_27,commutator(X_27,Y)))]]) ).
cnf(refute_0_770,plain,
( multiply(inverse(Y),inverse(multiply(inverse(Y),multiply(X_27,Y)))) != inverse(multiply(multiply(X_27,Y),commutator(inverse(Y),multiply(X_27,Y))))
| multiply(inverse(Y),inverse(multiply(X_27,commutator(X_27,Y)))) = inverse(multiply(multiply(X_27,Y),commutator(inverse(Y),multiply(X_27,Y)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),multiply(X_27,Y)),multiply(X_27,commutator(X_27,Y))) )],[refute_0_254,refute_0_769]) ).
cnf(refute_0_771,plain,
multiply(inverse(Y),inverse(multiply(X_27,commutator(X_27,Y)))) = inverse(multiply(multiply(X_27,Y),commutator(inverse(Y),multiply(X_27,Y)))),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),inverse(multiply(inverse(Y),multiply(X_27,Y)))),inverse(multiply(multiply(X_27,Y),commutator(inverse(Y),multiply(X_27,Y))))) )],[refute_0_768,refute_0_770]) ).
cnf(refute_0_772,plain,
multiply(multiply(X_27,commutator(X_27,Y)),Y) = multiply(X_27,multiply(commutator(X_27,Y),Y)),
inference(subst,[],[associativity:[bind(X,$fot(X_27)),bind(Y,$fot(commutator(X_27,Y))),bind(Z,$fot(Y))]]) ).
cnf(refute_0_773,plain,
inverse(multiply(multiply(X_27,commutator(X_27,Y)),Y)) = inverse(multiply(multiply(X_27,commutator(X_27,Y)),Y)),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_27,commutator(X_27,Y)),Y)))]]) ).
cnf(refute_0_774,plain,
( multiply(multiply(X_27,commutator(X_27,Y)),Y) != multiply(X_27,multiply(commutator(X_27,Y),Y))
| inverse(multiply(multiply(X_27,commutator(X_27,Y)),Y)) != inverse(multiply(multiply(X_27,commutator(X_27,Y)),Y))
| inverse(multiply(multiply(X_27,commutator(X_27,Y)),Y)) = inverse(multiply(X_27,multiply(commutator(X_27,Y),Y))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_27,commutator(X_27,Y)),Y)),inverse(multiply(multiply(X_27,commutator(X_27,Y)),Y))) ),[1,0],$fot(multiply(X_27,multiply(commutator(X_27,Y),Y)))]]) ).
cnf(refute_0_775,plain,
( multiply(multiply(X_27,commutator(X_27,Y)),Y) != multiply(X_27,multiply(commutator(X_27,Y),Y))
| inverse(multiply(multiply(X_27,commutator(X_27,Y)),Y)) = inverse(multiply(X_27,multiply(commutator(X_27,Y),Y))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_27,commutator(X_27,Y)),Y)),inverse(multiply(multiply(X_27,commutator(X_27,Y)),Y))) )],[refute_0_773,refute_0_774]) ).
cnf(refute_0_776,plain,
inverse(multiply(multiply(X_27,commutator(X_27,Y)),Y)) = inverse(multiply(X_27,multiply(commutator(X_27,Y),Y))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_27,commutator(X_27,Y)),Y),multiply(X_27,multiply(commutator(X_27,Y),Y))) )],[refute_0_772,refute_0_775]) ).
cnf(refute_0_777,plain,
multiply(inverse(Y),inverse(multiply(X_27,commutator(X_27,Y)))) = inverse(multiply(multiply(X_27,commutator(X_27,Y)),Y)),
inference(subst,[],[refute_0_257:[bind(X_10,$fot(Y)),bind(X_58,$fot(multiply(X_27,commutator(X_27,Y))))]]) ).
cnf(refute_0_778,plain,
( multiply(inverse(Y),inverse(multiply(X_27,commutator(X_27,Y)))) != inverse(multiply(multiply(X_27,commutator(X_27,Y)),Y))
| inverse(multiply(multiply(X_27,commutator(X_27,Y)),Y)) != inverse(multiply(X_27,multiply(commutator(X_27,Y),Y)))
| multiply(inverse(Y),inverse(multiply(X_27,commutator(X_27,Y)))) = inverse(multiply(X_27,multiply(commutator(X_27,Y),Y))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(Y),inverse(multiply(X_27,commutator(X_27,Y)))))),bind(Y0,$fot(inverse(multiply(multiply(X_27,commutator(X_27,Y)),Y)))),bind(Z0,$fot(inverse(multiply(X_27,multiply(commutator(X_27,Y),Y)))))]]) ).
cnf(refute_0_779,plain,
( inverse(multiply(multiply(X_27,commutator(X_27,Y)),Y)) != inverse(multiply(X_27,multiply(commutator(X_27,Y),Y)))
| multiply(inverse(Y),inverse(multiply(X_27,commutator(X_27,Y)))) = inverse(multiply(X_27,multiply(commutator(X_27,Y),Y))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),inverse(multiply(X_27,commutator(X_27,Y)))),inverse(multiply(multiply(X_27,commutator(X_27,Y)),Y))) )],[refute_0_777,refute_0_778]) ).
cnf(refute_0_780,plain,
multiply(inverse(Y),inverse(multiply(X_27,commutator(X_27,Y)))) = inverse(multiply(X_27,multiply(commutator(X_27,Y),Y))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_27,commutator(X_27,Y)),Y)),inverse(multiply(X_27,multiply(commutator(X_27,Y),Y)))) )],[refute_0_776,refute_0_779]) ).
cnf(refute_0_781,plain,
( multiply(inverse(Y),inverse(multiply(X_27,commutator(X_27,Y)))) != inverse(multiply(X_27,multiply(commutator(X_27,Y),Y)))
| multiply(inverse(Y),inverse(multiply(X_27,commutator(X_27,Y)))) != inverse(multiply(multiply(X_27,Y),commutator(inverse(Y),multiply(X_27,Y))))
| inverse(multiply(X_27,multiply(commutator(X_27,Y),Y))) = inverse(multiply(multiply(X_27,Y),commutator(inverse(Y),multiply(X_27,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(Y),inverse(multiply(X_27,commutator(X_27,Y)))),inverse(multiply(multiply(X_27,Y),commutator(inverse(Y),multiply(X_27,Y))))) ),[0],$fot(inverse(multiply(X_27,multiply(commutator(X_27,Y),Y))))]]) ).
cnf(refute_0_782,plain,
( multiply(inverse(Y),inverse(multiply(X_27,commutator(X_27,Y)))) != inverse(multiply(multiply(X_27,Y),commutator(inverse(Y),multiply(X_27,Y))))
| inverse(multiply(X_27,multiply(commutator(X_27,Y),Y))) = inverse(multiply(multiply(X_27,Y),commutator(inverse(Y),multiply(X_27,Y)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),inverse(multiply(X_27,commutator(X_27,Y)))),inverse(multiply(X_27,multiply(commutator(X_27,Y),Y)))) )],[refute_0_780,refute_0_781]) ).
cnf(refute_0_783,plain,
inverse(multiply(inverse(Y),multiply(X_27,multiply(Y,Y)))) = multiply(inverse(multiply(X_27,multiply(Y,Y))),Y),
inference(subst,[],[refute_0_294:[bind(Z,$fot(multiply(X_27,multiply(Y,Y)))),bind(X_61,$fot(Y))]]) ).
cnf(refute_0_784,plain,
multiply(multiply(X_27,Y),Y) = multiply(X_27,multiply(Y,Y)),
inference(subst,[],[associativity:[bind(X,$fot(X_27)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_785,plain,
multiply(inverse(Y),multiply(multiply(X_27,Y),Y)) = multiply(inverse(Y),multiply(multiply(X_27,Y),Y)),
introduced(tautology,[refl,[$fot(multiply(inverse(Y),multiply(multiply(X_27,Y),Y)))]]) ).
cnf(refute_0_786,plain,
( multiply(multiply(X_27,Y),Y) != multiply(X_27,multiply(Y,Y))
| multiply(inverse(Y),multiply(multiply(X_27,Y),Y)) != multiply(inverse(Y),multiply(multiply(X_27,Y),Y))
| multiply(inverse(Y),multiply(multiply(X_27,Y),Y)) = multiply(inverse(Y),multiply(X_27,multiply(Y,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(Y),multiply(multiply(X_27,Y),Y)),multiply(inverse(Y),multiply(multiply(X_27,Y),Y))) ),[1,1],$fot(multiply(X_27,multiply(Y,Y)))]]) ).
cnf(refute_0_787,plain,
( multiply(multiply(X_27,Y),Y) != multiply(X_27,multiply(Y,Y))
| multiply(inverse(Y),multiply(multiply(X_27,Y),Y)) = multiply(inverse(Y),multiply(X_27,multiply(Y,Y))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),multiply(multiply(X_27,Y),Y)),multiply(inverse(Y),multiply(multiply(X_27,Y),Y))) )],[refute_0_785,refute_0_786]) ).
cnf(refute_0_788,plain,
multiply(inverse(Y),multiply(multiply(X_27,Y),Y)) = multiply(inverse(Y),multiply(X_27,multiply(Y,Y))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_27,Y),Y),multiply(X_27,multiply(Y,Y))) )],[refute_0_784,refute_0_787]) ).
cnf(refute_0_789,plain,
multiply(multiply(inverse(Y),multiply(X_27,Y)),Y) = multiply(inverse(Y),multiply(multiply(X_27,Y),Y)),
inference(subst,[],[associativity:[bind(X,$fot(inverse(Y))),bind(Y,$fot(multiply(X_27,Y))),bind(Z,$fot(Y))]]) ).
cnf(refute_0_790,plain,
( multiply(multiply(inverse(Y),multiply(X_27,Y)),Y) != multiply(inverse(Y),multiply(multiply(X_27,Y),Y))
| multiply(inverse(Y),multiply(multiply(X_27,Y),Y)) != multiply(inverse(Y),multiply(X_27,multiply(Y,Y)))
| multiply(multiply(inverse(Y),multiply(X_27,Y)),Y) = multiply(inverse(Y),multiply(X_27,multiply(Y,Y))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(inverse(Y),multiply(X_27,Y)),Y))),bind(Y0,$fot(multiply(inverse(Y),multiply(multiply(X_27,Y),Y)))),bind(Z0,$fot(multiply(inverse(Y),multiply(X_27,multiply(Y,Y)))))]]) ).
cnf(refute_0_791,plain,
( multiply(inverse(Y),multiply(multiply(X_27,Y),Y)) != multiply(inverse(Y),multiply(X_27,multiply(Y,Y)))
| multiply(multiply(inverse(Y),multiply(X_27,Y)),Y) = multiply(inverse(Y),multiply(X_27,multiply(Y,Y))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(Y),multiply(X_27,Y)),Y),multiply(inverse(Y),multiply(multiply(X_27,Y),Y))) )],[refute_0_789,refute_0_790]) ).
cnf(refute_0_792,plain,
multiply(multiply(inverse(Y),multiply(X_27,Y)),Y) = multiply(inverse(Y),multiply(X_27,multiply(Y,Y))),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),multiply(multiply(X_27,Y),Y)),multiply(inverse(Y),multiply(X_27,multiply(Y,Y)))) )],[refute_0_788,refute_0_791]) ).
cnf(refute_0_793,plain,
inverse(multiply(multiply(inverse(Y),multiply(X_27,Y)),Y)) = inverse(multiply(multiply(inverse(Y),multiply(X_27,Y)),Y)),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(inverse(Y),multiply(X_27,Y)),Y)))]]) ).
cnf(refute_0_794,plain,
( multiply(multiply(inverse(Y),multiply(X_27,Y)),Y) != multiply(inverse(Y),multiply(X_27,multiply(Y,Y)))
| inverse(multiply(multiply(inverse(Y),multiply(X_27,Y)),Y)) != inverse(multiply(multiply(inverse(Y),multiply(X_27,Y)),Y))
| inverse(multiply(multiply(inverse(Y),multiply(X_27,Y)),Y)) = inverse(multiply(inverse(Y),multiply(X_27,multiply(Y,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(inverse(Y),multiply(X_27,Y)),Y)),inverse(multiply(multiply(inverse(Y),multiply(X_27,Y)),Y))) ),[1,0],$fot(multiply(inverse(Y),multiply(X_27,multiply(Y,Y))))]]) ).
cnf(refute_0_795,plain,
( multiply(multiply(inverse(Y),multiply(X_27,Y)),Y) != multiply(inverse(Y),multiply(X_27,multiply(Y,Y)))
| inverse(multiply(multiply(inverse(Y),multiply(X_27,Y)),Y)) = inverse(multiply(inverse(Y),multiply(X_27,multiply(Y,Y)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(Y),multiply(X_27,Y)),Y)),inverse(multiply(multiply(inverse(Y),multiply(X_27,Y)),Y))) )],[refute_0_793,refute_0_794]) ).
cnf(refute_0_796,plain,
inverse(multiply(multiply(inverse(Y),multiply(X_27,Y)),Y)) = inverse(multiply(inverse(Y),multiply(X_27,multiply(Y,Y)))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(Y),multiply(X_27,Y)),Y),multiply(inverse(Y),multiply(X_27,multiply(Y,Y)))) )],[refute_0_792,refute_0_795]) ).
cnf(refute_0_797,plain,
( inverse(multiply(multiply(inverse(Y),multiply(X_27,Y)),Y)) != inverse(multiply(inverse(Y),multiply(X_27,multiply(Y,Y))))
| inverse(multiply(inverse(Y),multiply(X_27,multiply(Y,Y)))) != multiply(inverse(multiply(X_27,multiply(Y,Y))),Y)
| inverse(multiply(multiply(inverse(Y),multiply(X_27,Y)),Y)) = multiply(inverse(multiply(X_27,multiply(Y,Y))),Y) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(multiply(inverse(Y),multiply(X_27,Y)),Y)))),bind(Y0,$fot(inverse(multiply(inverse(Y),multiply(X_27,multiply(Y,Y)))))),bind(Z0,$fot(multiply(inverse(multiply(X_27,multiply(Y,Y))),Y)))]]) ).
cnf(refute_0_798,plain,
( inverse(multiply(inverse(Y),multiply(X_27,multiply(Y,Y)))) != multiply(inverse(multiply(X_27,multiply(Y,Y))),Y)
| inverse(multiply(multiply(inverse(Y),multiply(X_27,Y)),Y)) = multiply(inverse(multiply(X_27,multiply(Y,Y))),Y) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(Y),multiply(X_27,Y)),Y)),inverse(multiply(inverse(Y),multiply(X_27,multiply(Y,Y))))) )],[refute_0_796,refute_0_797]) ).
cnf(refute_0_799,plain,
inverse(multiply(multiply(inverse(Y),multiply(X_27,Y)),Y)) = multiply(inverse(multiply(X_27,multiply(Y,Y))),Y),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(Y),multiply(X_27,multiply(Y,Y)))),multiply(inverse(multiply(X_27,multiply(Y,Y))),Y)) )],[refute_0_783,refute_0_798]) ).
cnf(refute_0_800,plain,
multiply(inverse(Y),inverse(multiply(inverse(Y),multiply(X_27,Y)))) = inverse(multiply(multiply(inverse(Y),multiply(X_27,Y)),Y)),
inference(subst,[],[refute_0_257:[bind(X_10,$fot(Y)),bind(X_58,$fot(multiply(inverse(Y),multiply(X_27,Y))))]]) ).
cnf(refute_0_801,plain,
inverse(multiply(X_58,multiply(X_134,inverse(X_58)))) = multiply(inverse(multiply(X_134,inverse(X_58))),inverse(X_58)),
inference(subst,[],[refute_0_234:[bind(X_10,$fot(multiply(X_134,inverse(X_58))))]]) ).
cnf(refute_0_802,plain,
inverse(multiply(inverse(X_127),multiply(X_128,X_127))) = multiply(inverse(multiply(X_128,X_127)),inverse(inverse(X_127))),
inference(subst,[],[refute_0_234:[bind(X_10,$fot(multiply(X_128,X_127))),bind(X_58,$fot(inverse(X_127)))]]) ).
cnf(refute_0_803,plain,
multiply(inverse(X_127),multiply(X_128,X_127)) = multiply(X_128,commutator(X_128,X_127)),
inference(subst,[],[refute_0_254:[bind(Y,$fot(X_127)),bind(X_27,$fot(X_128))]]) ).
cnf(refute_0_804,plain,
( multiply(inverse(X_127),multiply(X_128,X_127)) != multiply(X_128,commutator(X_128,X_127))
| inverse(multiply(inverse(X_127),multiply(X_128,X_127))) != multiply(inverse(multiply(X_128,X_127)),inverse(inverse(X_127)))
| inverse(multiply(X_128,commutator(X_128,X_127))) = multiply(inverse(multiply(X_128,X_127)),inverse(inverse(X_127))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X_127),multiply(X_128,X_127))),multiply(inverse(multiply(X_128,X_127)),inverse(inverse(X_127)))) ),[0,0],$fot(multiply(X_128,commutator(X_128,X_127)))]]) ).
cnf(refute_0_805,plain,
( inverse(multiply(inverse(X_127),multiply(X_128,X_127))) != multiply(inverse(multiply(X_128,X_127)),inverse(inverse(X_127)))
| inverse(multiply(X_128,commutator(X_128,X_127))) = multiply(inverse(multiply(X_128,X_127)),inverse(inverse(X_127))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_127),multiply(X_128,X_127)),multiply(X_128,commutator(X_128,X_127))) )],[refute_0_803,refute_0_804]) ).
cnf(refute_0_806,plain,
inverse(multiply(X_128,commutator(X_128,X_127))) = multiply(inverse(multiply(X_128,X_127)),inverse(inverse(X_127))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_127),multiply(X_128,X_127))),multiply(inverse(multiply(X_128,X_127)),inverse(inverse(X_127)))) )],[refute_0_802,refute_0_805]) ).
cnf(refute_0_807,plain,
inverse(multiply(inverse(X_127),multiply(X_128,X_127))) = multiply(inverse(multiply(X_128,X_127)),X_127),
inference(subst,[],[refute_0_294:[bind(Z,$fot(multiply(X_128,X_127))),bind(X_61,$fot(X_127))]]) ).
cnf(refute_0_808,plain,
multiply(inverse(multiply(X_128,X_127)),inverse(inverse(X_127))) = inverse(multiply(inverse(X_127),multiply(X_128,X_127))),
inference(subst,[],[refute_0_257:[bind(X_10,$fot(multiply(X_128,X_127))),bind(X_58,$fot(inverse(X_127)))]]) ).
cnf(refute_0_809,plain,
( multiply(inverse(multiply(X_128,X_127)),inverse(inverse(X_127))) != inverse(multiply(inverse(X_127),multiply(X_128,X_127)))
| inverse(multiply(inverse(X_127),multiply(X_128,X_127))) != multiply(inverse(multiply(X_128,X_127)),X_127)
| multiply(inverse(multiply(X_128,X_127)),inverse(inverse(X_127))) = multiply(inverse(multiply(X_128,X_127)),X_127) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_128,X_127)),inverse(inverse(X_127))))),bind(Y0,$fot(inverse(multiply(inverse(X_127),multiply(X_128,X_127))))),bind(Z0,$fot(multiply(inverse(multiply(X_128,X_127)),X_127)))]]) ).
cnf(refute_0_810,plain,
( inverse(multiply(inverse(X_127),multiply(X_128,X_127))) != multiply(inverse(multiply(X_128,X_127)),X_127)
| multiply(inverse(multiply(X_128,X_127)),inverse(inverse(X_127))) = multiply(inverse(multiply(X_128,X_127)),X_127) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_128,X_127)),inverse(inverse(X_127))),inverse(multiply(inverse(X_127),multiply(X_128,X_127)))) )],[refute_0_808,refute_0_809]) ).
cnf(refute_0_811,plain,
multiply(inverse(multiply(X_128,X_127)),inverse(inverse(X_127))) = multiply(inverse(multiply(X_128,X_127)),X_127),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_127),multiply(X_128,X_127))),multiply(inverse(multiply(X_128,X_127)),X_127)) )],[refute_0_807,refute_0_810]) ).
cnf(refute_0_812,plain,
( multiply(inverse(multiply(X_128,X_127)),inverse(inverse(X_127))) != multiply(inverse(multiply(X_128,X_127)),X_127)
| inverse(multiply(X_128,commutator(X_128,X_127))) != multiply(inverse(multiply(X_128,X_127)),inverse(inverse(X_127)))
| inverse(multiply(X_128,commutator(X_128,X_127))) = multiply(inverse(multiply(X_128,X_127)),X_127) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_128,commutator(X_128,X_127))),multiply(inverse(multiply(X_128,X_127)),inverse(inverse(X_127)))) ),[1],$fot(multiply(inverse(multiply(X_128,X_127)),X_127))]]) ).
cnf(refute_0_813,plain,
( inverse(multiply(X_128,commutator(X_128,X_127))) != multiply(inverse(multiply(X_128,X_127)),inverse(inverse(X_127)))
| inverse(multiply(X_128,commutator(X_128,X_127))) = multiply(inverse(multiply(X_128,X_127)),X_127) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_128,X_127)),inverse(inverse(X_127))),multiply(inverse(multiply(X_128,X_127)),X_127)) )],[refute_0_811,refute_0_812]) ).
cnf(refute_0_814,plain,
inverse(multiply(X_128,commutator(X_128,X_127))) = multiply(inverse(multiply(X_128,X_127)),X_127),
inference(resolve,[$cnf( $equal(inverse(multiply(X_128,commutator(X_128,X_127))),multiply(inverse(multiply(X_128,X_127)),inverse(inverse(X_127)))) )],[refute_0_806,refute_0_813]) ).
cnf(refute_0_815,plain,
inverse(multiply(X_134,commutator(X_134,inverse(X_58)))) = multiply(inverse(multiply(X_134,inverse(X_58))),inverse(X_58)),
inference(subst,[],[refute_0_814:[bind(X_127,$fot(inverse(X_58))),bind(X_128,$fot(X_134))]]) ).
cnf(refute_0_816,plain,
( inverse(multiply(X_134,commutator(X_134,inverse(X_58)))) != multiply(inverse(multiply(X_134,inverse(X_58))),inverse(X_58))
| multiply(inverse(multiply(X_134,inverse(X_58))),inverse(X_58)) = inverse(multiply(X_134,commutator(X_134,inverse(X_58)))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(inverse(multiply(X_134,commutator(X_134,inverse(X_58)))))),bind(Y0,$fot(multiply(inverse(multiply(X_134,inverse(X_58))),inverse(X_58))))]]) ).
cnf(refute_0_817,plain,
multiply(inverse(multiply(X_134,inverse(X_58))),inverse(X_58)) = inverse(multiply(X_134,commutator(X_134,inverse(X_58)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_134,commutator(X_134,inverse(X_58)))),multiply(inverse(multiply(X_134,inverse(X_58))),inverse(X_58))) )],[refute_0_815,refute_0_816]) ).
cnf(refute_0_818,plain,
( multiply(inverse(multiply(X_134,inverse(X_58))),inverse(X_58)) != inverse(multiply(X_134,commutator(X_134,inverse(X_58))))
| inverse(multiply(X_58,multiply(X_134,inverse(X_58)))) != multiply(inverse(multiply(X_134,inverse(X_58))),inverse(X_58))
| inverse(multiply(X_58,multiply(X_134,inverse(X_58)))) = inverse(multiply(X_134,commutator(X_134,inverse(X_58)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_58,multiply(X_134,inverse(X_58)))),multiply(inverse(multiply(X_134,inverse(X_58))),inverse(X_58))) ),[1],$fot(inverse(multiply(X_134,commutator(X_134,inverse(X_58)))))]]) ).
cnf(refute_0_819,plain,
( inverse(multiply(X_58,multiply(X_134,inverse(X_58)))) != multiply(inverse(multiply(X_134,inverse(X_58))),inverse(X_58))
| inverse(multiply(X_58,multiply(X_134,inverse(X_58)))) = inverse(multiply(X_134,commutator(X_134,inverse(X_58)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_134,inverse(X_58))),inverse(X_58)),inverse(multiply(X_134,commutator(X_134,inverse(X_58))))) )],[refute_0_817,refute_0_818]) ).
cnf(refute_0_820,plain,
inverse(multiply(X_58,multiply(X_134,inverse(X_58)))) = inverse(multiply(X_134,commutator(X_134,inverse(X_58)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_58,multiply(X_134,inverse(X_58)))),multiply(inverse(multiply(X_134,inverse(X_58))),inverse(X_58))) )],[refute_0_801,refute_0_819]) ).
cnf(refute_0_821,plain,
inverse(multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))) = multiply(inverse(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))),inverse(X_58)),
inference(subst,[],[refute_0_234:[bind(X_10,$fot(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))))]]) ).
cnf(refute_0_822,plain,
multiply(X_89,inverse(X_90)) = inverse(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))),
inference(subst,[],[refute_0_335:[bind(X,$fot(X_89)),bind(X_51,$fot(X_90))]]) ).
cnf(refute_0_823,plain,
( multiply(X_89,inverse(X_90)) != inverse(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))
| inverse(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))) = multiply(X_89,inverse(X_90)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(X_89,inverse(X_90)))),bind(Y0,$fot(inverse(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))))]]) ).
cnf(refute_0_824,plain,
inverse(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))) = multiply(X_89,inverse(X_90)),
inference(resolve,[$cnf( $equal(multiply(X_89,inverse(X_90)),inverse(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))) )],[refute_0_822,refute_0_823]) ).
cnf(refute_0_825,plain,
( inverse(multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))) != multiply(inverse(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))),inverse(X_58))
| inverse(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))) != multiply(X_89,inverse(X_90))
| inverse(multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))) = multiply(multiply(X_89,inverse(X_90)),inverse(X_58)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))),multiply(inverse(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))),inverse(X_58))) ),[1,0],$fot(multiply(X_89,inverse(X_90)))]]) ).
cnf(refute_0_826,plain,
( inverse(multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))) != multiply(inverse(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))),inverse(X_58))
| inverse(multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))) = multiply(multiply(X_89,inverse(X_90)),inverse(X_58)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))),multiply(X_89,inverse(X_90))) )],[refute_0_824,refute_0_825]) ).
cnf(refute_0_827,plain,
inverse(multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))) = multiply(multiply(X_89,inverse(X_90)),inverse(X_58)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))),multiply(inverse(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))),inverse(X_58))) )],[refute_0_821,refute_0_826]) ).
cnf(refute_0_828,plain,
multiply(inverse(X_90),inverse(X_58)) = inverse(multiply(X_58,X_90)),
inference(subst,[],[refute_0_257:[bind(X_10,$fot(X_90))]]) ).
cnf(refute_0_829,plain,
multiply(X_89,multiply(inverse(X_90),inverse(X_58))) = multiply(X_89,multiply(inverse(X_90),inverse(X_58))),
introduced(tautology,[refl,[$fot(multiply(X_89,multiply(inverse(X_90),inverse(X_58))))]]) ).
cnf(refute_0_830,plain,
( multiply(X_89,multiply(inverse(X_90),inverse(X_58))) != multiply(X_89,multiply(inverse(X_90),inverse(X_58)))
| multiply(inverse(X_90),inverse(X_58)) != inverse(multiply(X_58,X_90))
| multiply(X_89,multiply(inverse(X_90),inverse(X_58))) = multiply(X_89,inverse(multiply(X_58,X_90))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_89,multiply(inverse(X_90),inverse(X_58))),multiply(X_89,multiply(inverse(X_90),inverse(X_58)))) ),[1,1],$fot(inverse(multiply(X_58,X_90)))]]) ).
cnf(refute_0_831,plain,
( multiply(inverse(X_90),inverse(X_58)) != inverse(multiply(X_58,X_90))
| multiply(X_89,multiply(inverse(X_90),inverse(X_58))) = multiply(X_89,inverse(multiply(X_58,X_90))) ),
inference(resolve,[$cnf( $equal(multiply(X_89,multiply(inverse(X_90),inverse(X_58))),multiply(X_89,multiply(inverse(X_90),inverse(X_58)))) )],[refute_0_829,refute_0_830]) ).
cnf(refute_0_832,plain,
multiply(X_89,multiply(inverse(X_90),inverse(X_58))) = multiply(X_89,inverse(multiply(X_58,X_90))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_90),inverse(X_58)),inverse(multiply(X_58,X_90))) )],[refute_0_828,refute_0_831]) ).
cnf(refute_0_833,plain,
multiply(multiply(X_89,inverse(X_90)),inverse(X_58)) = multiply(X_89,multiply(inverse(X_90),inverse(X_58))),
inference(subst,[],[associativity:[bind(X,$fot(X_89)),bind(Y,$fot(inverse(X_90))),bind(Z,$fot(inverse(X_58)))]]) ).
cnf(refute_0_834,plain,
( multiply(X_89,multiply(inverse(X_90),inverse(X_58))) != multiply(X_89,inverse(multiply(X_58,X_90)))
| multiply(multiply(X_89,inverse(X_90)),inverse(X_58)) != multiply(X_89,multiply(inverse(X_90),inverse(X_58)))
| multiply(multiply(X_89,inverse(X_90)),inverse(X_58)) = multiply(X_89,inverse(multiply(X_58,X_90))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_89,inverse(X_90)),inverse(X_58)))),bind(Y0,$fot(multiply(X_89,multiply(inverse(X_90),inverse(X_58))))),bind(Z0,$fot(multiply(X_89,inverse(multiply(X_58,X_90)))))]]) ).
cnf(refute_0_835,plain,
( multiply(X_89,multiply(inverse(X_90),inverse(X_58))) != multiply(X_89,inverse(multiply(X_58,X_90)))
| multiply(multiply(X_89,inverse(X_90)),inverse(X_58)) = multiply(X_89,inverse(multiply(X_58,X_90))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_89,inverse(X_90)),inverse(X_58)),multiply(X_89,multiply(inverse(X_90),inverse(X_58)))) )],[refute_0_833,refute_0_834]) ).
cnf(refute_0_836,plain,
multiply(multiply(X_89,inverse(X_90)),inverse(X_58)) = multiply(X_89,inverse(multiply(X_58,X_90))),
inference(resolve,[$cnf( $equal(multiply(X_89,multiply(inverse(X_90),inverse(X_58))),multiply(X_89,inverse(multiply(X_58,X_90)))) )],[refute_0_832,refute_0_835]) ).
cnf(refute_0_837,plain,
( multiply(multiply(X_89,inverse(X_90)),inverse(X_58)) != multiply(X_89,inverse(multiply(X_58,X_90)))
| inverse(multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))) != multiply(multiply(X_89,inverse(X_90)),inverse(X_58))
| inverse(multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))) = multiply(X_89,inverse(multiply(X_58,X_90))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))),multiply(multiply(X_89,inverse(X_90)),inverse(X_58))) ),[1],$fot(multiply(X_89,inverse(multiply(X_58,X_90))))]]) ).
cnf(refute_0_838,plain,
( inverse(multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))) != multiply(multiply(X_89,inverse(X_90)),inverse(X_58))
| inverse(multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))) = multiply(X_89,inverse(multiply(X_58,X_90))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_89,inverse(X_90)),inverse(X_58)),multiply(X_89,inverse(multiply(X_58,X_90)))) )],[refute_0_836,refute_0_837]) ).
cnf(refute_0_839,plain,
inverse(multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))) = multiply(X_89,inverse(multiply(X_58,X_90))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))),multiply(multiply(X_89,inverse(X_90)),inverse(X_58))) )],[refute_0_827,refute_0_838]) ).
cnf(refute_0_840,plain,
inverse(inverse(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))) = multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)),
inference(subst,[],[refute_0_152:[bind(X_27,$fot(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))))]]) ).
cnf(refute_0_841,plain,
( inverse(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))) != multiply(X_89,inverse(X_90))
| inverse(inverse(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))) != multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))
| inverse(multiply(X_89,inverse(X_90))) = multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))),multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))) ),[0,0],$fot(multiply(X_89,inverse(X_90)))]]) ).
cnf(refute_0_842,plain,
( inverse(inverse(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))) != multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))
| inverse(multiply(X_89,inverse(X_90))) = multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))),multiply(X_89,inverse(X_90))) )],[refute_0_824,refute_0_841]) ).
cnf(refute_0_843,plain,
inverse(multiply(X_89,inverse(X_90))) = multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))),multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))) )],[refute_0_840,refute_0_842]) ).
cnf(refute_0_844,plain,
inverse(multiply(X_89,inverse(X_90))) = multiply(X_90,inverse(X_89)),
inference(subst,[],[refute_0_180:[bind(X,$fot(X_90)),bind(X_58,$fot(X_89))]]) ).
cnf(refute_0_845,plain,
( inverse(multiply(X_89,inverse(X_90))) != multiply(X_90,inverse(X_89))
| inverse(multiply(X_89,inverse(X_90))) != multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))
| multiply(X_90,inverse(X_89)) = multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_89,inverse(X_90))),multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))) ),[0],$fot(multiply(X_90,inverse(X_89)))]]) ).
cnf(refute_0_846,plain,
( inverse(multiply(X_89,inverse(X_90))) != multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))
| multiply(X_90,inverse(X_89)) = multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_89,inverse(X_90))),multiply(X_90,inverse(X_89))) )],[refute_0_844,refute_0_845]) ).
cnf(refute_0_847,plain,
multiply(X_90,inverse(X_89)) = multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_89,inverse(X_90))),multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))) )],[refute_0_843,refute_0_846]) ).
cnf(refute_0_848,plain,
( multiply(X_90,inverse(X_89)) != multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))
| multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)) = multiply(X_90,inverse(X_89)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(X_90,inverse(X_89)))),bind(Y0,$fot(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))))]]) ).
cnf(refute_0_849,plain,
multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)) = multiply(X_90,inverse(X_89)),
inference(resolve,[$cnf( $equal(multiply(X_90,inverse(X_89)),multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))) )],[refute_0_847,refute_0_848]) ).
cnf(refute_0_850,plain,
multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))) = multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))),
introduced(tautology,[refl,[$fot(multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))))]]) ).
cnf(refute_0_851,plain,
( multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))) != multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))
| multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)) != multiply(X_90,inverse(X_89))
| multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))) = multiply(X_58,multiply(X_90,inverse(X_89))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))),multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))) ),[1,1],$fot(multiply(X_90,inverse(X_89)))]]) ).
cnf(refute_0_852,plain,
( multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)) != multiply(X_90,inverse(X_89))
| multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))) = multiply(X_58,multiply(X_90,inverse(X_89))) ),
inference(resolve,[$cnf( $equal(multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))),multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))) )],[refute_0_850,refute_0_851]) ).
cnf(refute_0_853,plain,
multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))) = multiply(X_58,multiply(X_90,inverse(X_89))),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)),multiply(X_90,inverse(X_89))) )],[refute_0_849,refute_0_852]) ).
cnf(refute_0_854,plain,
inverse(multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))) = inverse(multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))))]]) ).
cnf(refute_0_855,plain,
( multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))) != multiply(X_58,multiply(X_90,inverse(X_89)))
| inverse(multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))) != inverse(multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))))
| inverse(multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))) = inverse(multiply(X_58,multiply(X_90,inverse(X_89)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))),inverse(multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))))) ),[1,0],$fot(multiply(X_58,multiply(X_90,inverse(X_89))))]]) ).
cnf(refute_0_856,plain,
( multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))) != multiply(X_58,multiply(X_90,inverse(X_89)))
| inverse(multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))) = inverse(multiply(X_58,multiply(X_90,inverse(X_89)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))),inverse(multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))))) )],[refute_0_854,refute_0_855]) ).
cnf(refute_0_857,plain,
inverse(multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))) = inverse(multiply(X_58,multiply(X_90,inverse(X_89)))),
inference(resolve,[$cnf( $equal(multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))),multiply(X_58,multiply(X_90,inverse(X_89)))) )],[refute_0_853,refute_0_856]) ).
cnf(refute_0_858,plain,
( inverse(multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))) != multiply(X_89,inverse(multiply(X_58,X_90)))
| inverse(multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))) != inverse(multiply(X_58,multiply(X_90,inverse(X_89))))
| inverse(multiply(X_58,multiply(X_90,inverse(X_89)))) = multiply(X_89,inverse(multiply(X_58,X_90))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))),multiply(X_89,inverse(multiply(X_58,X_90)))) ),[0],$fot(inverse(multiply(X_58,multiply(X_90,inverse(X_89)))))]]) ).
cnf(refute_0_859,plain,
( inverse(multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))) != multiply(X_89,inverse(multiply(X_58,X_90)))
| inverse(multiply(X_58,multiply(X_90,inverse(X_89)))) = multiply(X_89,inverse(multiply(X_58,X_90))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))),inverse(multiply(X_58,multiply(X_90,inverse(X_89))))) )],[refute_0_857,refute_0_858]) ).
cnf(refute_0_860,plain,
inverse(multiply(X_58,multiply(X_90,inverse(X_89)))) = multiply(X_89,inverse(multiply(X_58,X_90))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_58,multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))),multiply(X_89,inverse(multiply(X_58,X_90)))) )],[refute_0_839,refute_0_859]) ).
cnf(refute_0_861,plain,
inverse(multiply(X_58,multiply(X_134,inverse(X_58)))) = multiply(X_58,inverse(multiply(X_58,X_134))),
inference(subst,[],[refute_0_860:[bind(X_89,$fot(X_58)),bind(X_90,$fot(X_134))]]) ).
cnf(refute_0_862,plain,
( inverse(multiply(X_58,multiply(X_134,inverse(X_58)))) != multiply(X_58,inverse(multiply(X_58,X_134)))
| inverse(multiply(X_58,multiply(X_134,inverse(X_58)))) != inverse(multiply(X_134,commutator(X_134,inverse(X_58))))
| multiply(X_58,inverse(multiply(X_58,X_134))) = inverse(multiply(X_134,commutator(X_134,inverse(X_58)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_58,multiply(X_134,inverse(X_58)))),inverse(multiply(X_134,commutator(X_134,inverse(X_58))))) ),[0],$fot(multiply(X_58,inverse(multiply(X_58,X_134))))]]) ).
cnf(refute_0_863,plain,
( inverse(multiply(X_58,multiply(X_134,inverse(X_58)))) != inverse(multiply(X_134,commutator(X_134,inverse(X_58))))
| multiply(X_58,inverse(multiply(X_58,X_134))) = inverse(multiply(X_134,commutator(X_134,inverse(X_58)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_58,multiply(X_134,inverse(X_58)))),multiply(X_58,inverse(multiply(X_58,X_134)))) )],[refute_0_861,refute_0_862]) ).
cnf(refute_0_864,plain,
commutator(X_134,inverse(X_58)) = commutator(X_58,X_134),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(X_58)),bind(X_110,$fot(X_134))]]) ).
cnf(refute_0_865,plain,
multiply(X_134,commutator(X_134,inverse(X_58))) = multiply(X_134,commutator(X_134,inverse(X_58))),
introduced(tautology,[refl,[$fot(multiply(X_134,commutator(X_134,inverse(X_58))))]]) ).
cnf(refute_0_866,plain,
( multiply(X_134,commutator(X_134,inverse(X_58))) != multiply(X_134,commutator(X_134,inverse(X_58)))
| commutator(X_134,inverse(X_58)) != commutator(X_58,X_134)
| multiply(X_134,commutator(X_134,inverse(X_58))) = multiply(X_134,commutator(X_58,X_134)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_134,commutator(X_134,inverse(X_58))),multiply(X_134,commutator(X_134,inverse(X_58)))) ),[1,1],$fot(commutator(X_58,X_134))]]) ).
cnf(refute_0_867,plain,
( commutator(X_134,inverse(X_58)) != commutator(X_58,X_134)
| multiply(X_134,commutator(X_134,inverse(X_58))) = multiply(X_134,commutator(X_58,X_134)) ),
inference(resolve,[$cnf( $equal(multiply(X_134,commutator(X_134,inverse(X_58))),multiply(X_134,commutator(X_134,inverse(X_58)))) )],[refute_0_865,refute_0_866]) ).
cnf(refute_0_868,plain,
multiply(X_134,commutator(X_134,inverse(X_58))) = multiply(X_134,commutator(X_58,X_134)),
inference(resolve,[$cnf( $equal(commutator(X_134,inverse(X_58)),commutator(X_58,X_134)) )],[refute_0_864,refute_0_867]) ).
cnf(refute_0_869,plain,
inverse(multiply(X_134,commutator(X_134,inverse(X_58)))) = inverse(multiply(X_134,commutator(X_134,inverse(X_58)))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_134,commutator(X_134,inverse(X_58)))))]]) ).
cnf(refute_0_870,plain,
( multiply(X_134,commutator(X_134,inverse(X_58))) != multiply(X_134,commutator(X_58,X_134))
| inverse(multiply(X_134,commutator(X_134,inverse(X_58)))) != inverse(multiply(X_134,commutator(X_134,inverse(X_58))))
| inverse(multiply(X_134,commutator(X_134,inverse(X_58)))) = inverse(multiply(X_134,commutator(X_58,X_134))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_134,commutator(X_134,inverse(X_58)))),inverse(multiply(X_134,commutator(X_134,inverse(X_58))))) ),[1,0],$fot(multiply(X_134,commutator(X_58,X_134)))]]) ).
cnf(refute_0_871,plain,
( multiply(X_134,commutator(X_134,inverse(X_58))) != multiply(X_134,commutator(X_58,X_134))
| inverse(multiply(X_134,commutator(X_134,inverse(X_58)))) = inverse(multiply(X_134,commutator(X_58,X_134))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_134,commutator(X_134,inverse(X_58)))),inverse(multiply(X_134,commutator(X_134,inverse(X_58))))) )],[refute_0_869,refute_0_870]) ).
cnf(refute_0_872,plain,
inverse(multiply(X_134,commutator(X_134,inverse(X_58)))) = inverse(multiply(X_134,commutator(X_58,X_134))),
inference(resolve,[$cnf( $equal(multiply(X_134,commutator(X_134,inverse(X_58))),multiply(X_134,commutator(X_58,X_134))) )],[refute_0_868,refute_0_871]) ).
cnf(refute_0_873,plain,
( multiply(X_58,inverse(multiply(X_58,X_134))) != inverse(multiply(X_134,commutator(X_134,inverse(X_58))))
| inverse(multiply(X_134,commutator(X_134,inverse(X_58)))) != inverse(multiply(X_134,commutator(X_58,X_134)))
| multiply(X_58,inverse(multiply(X_58,X_134))) = inverse(multiply(X_134,commutator(X_58,X_134))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_58,inverse(multiply(X_58,X_134))),inverse(multiply(X_134,commutator(X_58,X_134)))) ),[0],$fot(inverse(multiply(X_134,commutator(X_134,inverse(X_58)))))]]) ).
cnf(refute_0_874,plain,
( multiply(X_58,inverse(multiply(X_58,X_134))) != inverse(multiply(X_134,commutator(X_134,inverse(X_58))))
| multiply(X_58,inverse(multiply(X_58,X_134))) = inverse(multiply(X_134,commutator(X_58,X_134))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_134,commutator(X_134,inverse(X_58)))),inverse(multiply(X_134,commutator(X_58,X_134)))) )],[refute_0_872,refute_0_873]) ).
cnf(refute_0_875,plain,
( inverse(multiply(X_58,multiply(X_134,inverse(X_58)))) != inverse(multiply(X_134,commutator(X_134,inverse(X_58))))
| multiply(X_58,inverse(multiply(X_58,X_134))) = inverse(multiply(X_134,commutator(X_58,X_134))) ),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,X_134))),inverse(multiply(X_134,commutator(X_134,inverse(X_58))))) )],[refute_0_863,refute_0_874]) ).
cnf(refute_0_876,plain,
multiply(X_58,inverse(multiply(X_58,X_134))) = inverse(multiply(X_134,commutator(X_58,X_134))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_58,multiply(X_134,inverse(X_58)))),inverse(multiply(X_134,commutator(X_134,inverse(X_58))))) )],[refute_0_820,refute_0_875]) ).
cnf(refute_0_877,plain,
( multiply(X_58,inverse(multiply(X_58,X_134))) != inverse(multiply(X_134,commutator(X_58,X_134)))
| inverse(multiply(X_134,commutator(X_58,X_134))) = multiply(X_58,inverse(multiply(X_58,X_134))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(X_58,inverse(multiply(X_58,X_134))))),bind(Y0,$fot(inverse(multiply(X_134,commutator(X_58,X_134)))))]]) ).
cnf(refute_0_878,plain,
inverse(multiply(X_134,commutator(X_58,X_134))) = multiply(X_58,inverse(multiply(X_58,X_134))),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,X_134))),inverse(multiply(X_134,commutator(X_58,X_134)))) )],[refute_0_876,refute_0_877]) ).
cnf(refute_0_879,plain,
inverse(multiply(multiply(X_27,Y),commutator(inverse(Y),multiply(X_27,Y)))) = multiply(inverse(Y),inverse(multiply(inverse(Y),multiply(X_27,Y)))),
inference(subst,[],[refute_0_878:[bind(X_134,$fot(multiply(X_27,Y))),bind(X_58,$fot(inverse(Y)))]]) ).
cnf(refute_0_880,plain,
( multiply(inverse(Y),inverse(multiply(inverse(Y),multiply(X_27,Y)))) != inverse(multiply(multiply(inverse(Y),multiply(X_27,Y)),Y))
| inverse(multiply(multiply(X_27,Y),commutator(inverse(Y),multiply(X_27,Y)))) != multiply(inverse(Y),inverse(multiply(inverse(Y),multiply(X_27,Y))))
| inverse(multiply(multiply(X_27,Y),commutator(inverse(Y),multiply(X_27,Y)))) = inverse(multiply(multiply(inverse(Y),multiply(X_27,Y)),Y)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(multiply(X_27,Y),commutator(inverse(Y),multiply(X_27,Y)))))),bind(Y0,$fot(multiply(inverse(Y),inverse(multiply(inverse(Y),multiply(X_27,Y)))))),bind(Z0,$fot(inverse(multiply(multiply(inverse(Y),multiply(X_27,Y)),Y))))]]) ).
cnf(refute_0_881,plain,
( multiply(inverse(Y),inverse(multiply(inverse(Y),multiply(X_27,Y)))) != inverse(multiply(multiply(inverse(Y),multiply(X_27,Y)),Y))
| inverse(multiply(multiply(X_27,Y),commutator(inverse(Y),multiply(X_27,Y)))) = inverse(multiply(multiply(inverse(Y),multiply(X_27,Y)),Y)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_27,Y),commutator(inverse(Y),multiply(X_27,Y)))),multiply(inverse(Y),inverse(multiply(inverse(Y),multiply(X_27,Y))))) )],[refute_0_879,refute_0_880]) ).
cnf(refute_0_882,plain,
inverse(multiply(multiply(X_27,Y),commutator(inverse(Y),multiply(X_27,Y)))) = inverse(multiply(multiply(inverse(Y),multiply(X_27,Y)),Y)),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),inverse(multiply(inverse(Y),multiply(X_27,Y)))),inverse(multiply(multiply(inverse(Y),multiply(X_27,Y)),Y))) )],[refute_0_800,refute_0_881]) ).
cnf(refute_0_883,plain,
( inverse(multiply(multiply(X_27,Y),commutator(inverse(Y),multiply(X_27,Y)))) != inverse(multiply(multiply(inverse(Y),multiply(X_27,Y)),Y))
| inverse(multiply(multiply(inverse(Y),multiply(X_27,Y)),Y)) != multiply(inverse(multiply(X_27,multiply(Y,Y))),Y)
| inverse(multiply(multiply(X_27,Y),commutator(inverse(Y),multiply(X_27,Y)))) = multiply(inverse(multiply(X_27,multiply(Y,Y))),Y) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(multiply(X_27,Y),commutator(inverse(Y),multiply(X_27,Y)))))),bind(Y0,$fot(inverse(multiply(multiply(inverse(Y),multiply(X_27,Y)),Y)))),bind(Z0,$fot(multiply(inverse(multiply(X_27,multiply(Y,Y))),Y)))]]) ).
cnf(refute_0_884,plain,
( inverse(multiply(multiply(inverse(Y),multiply(X_27,Y)),Y)) != multiply(inverse(multiply(X_27,multiply(Y,Y))),Y)
| inverse(multiply(multiply(X_27,Y),commutator(inverse(Y),multiply(X_27,Y)))) = multiply(inverse(multiply(X_27,multiply(Y,Y))),Y) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_27,Y),commutator(inverse(Y),multiply(X_27,Y)))),inverse(multiply(multiply(inverse(Y),multiply(X_27,Y)),Y))) )],[refute_0_882,refute_0_883]) ).
cnf(refute_0_885,plain,
inverse(multiply(multiply(X_27,Y),commutator(inverse(Y),multiply(X_27,Y)))) = multiply(inverse(multiply(X_27,multiply(Y,Y))),Y),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(Y),multiply(X_27,Y)),Y)),multiply(inverse(multiply(X_27,multiply(Y,Y))),Y)) )],[refute_0_799,refute_0_884]) ).
cnf(refute_0_886,plain,
( inverse(multiply(X_27,multiply(commutator(X_27,Y),Y))) != inverse(multiply(multiply(X_27,Y),commutator(inverse(Y),multiply(X_27,Y))))
| inverse(multiply(multiply(X_27,Y),commutator(inverse(Y),multiply(X_27,Y)))) != multiply(inverse(multiply(X_27,multiply(Y,Y))),Y)
| inverse(multiply(X_27,multiply(commutator(X_27,Y),Y))) = multiply(inverse(multiply(X_27,multiply(Y,Y))),Y) ),
introduced(tautology,[equality,[$cnf( ~ $equal(inverse(multiply(X_27,multiply(commutator(X_27,Y),Y))),multiply(inverse(multiply(X_27,multiply(Y,Y))),Y)) ),[0],$fot(inverse(multiply(multiply(X_27,Y),commutator(inverse(Y),multiply(X_27,Y)))))]]) ).
cnf(refute_0_887,plain,
( inverse(multiply(X_27,multiply(commutator(X_27,Y),Y))) != inverse(multiply(multiply(X_27,Y),commutator(inverse(Y),multiply(X_27,Y))))
| inverse(multiply(X_27,multiply(commutator(X_27,Y),Y))) = multiply(inverse(multiply(X_27,multiply(Y,Y))),Y) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_27,Y),commutator(inverse(Y),multiply(X_27,Y)))),multiply(inverse(multiply(X_27,multiply(Y,Y))),Y)) )],[refute_0_885,refute_0_886]) ).
cnf(refute_0_888,plain,
( multiply(inverse(Y),inverse(multiply(X_27,commutator(X_27,Y)))) != inverse(multiply(multiply(X_27,Y),commutator(inverse(Y),multiply(X_27,Y))))
| inverse(multiply(X_27,multiply(commutator(X_27,Y),Y))) = multiply(inverse(multiply(X_27,multiply(Y,Y))),Y) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_27,multiply(commutator(X_27,Y),Y))),inverse(multiply(multiply(X_27,Y),commutator(inverse(Y),multiply(X_27,Y))))) )],[refute_0_782,refute_0_887]) ).
cnf(refute_0_889,plain,
inverse(multiply(X_27,multiply(commutator(X_27,Y),Y))) = multiply(inverse(multiply(X_27,multiply(Y,Y))),Y),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),inverse(multiply(X_27,commutator(X_27,Y)))),inverse(multiply(multiply(X_27,Y),commutator(inverse(Y),multiply(X_27,Y))))) )],[refute_0_771,refute_0_888]) ).
cnf(refute_0_890,plain,
multiply(multiply(X_90,X_10),inverse(X_90)) = inverse(multiply(commutator(inverse(X_90),multiply(X_90,X_10)),multiply(inverse(multiply(X_90,X_10)),X_90))),
inference(subst,[],[refute_0_335:[bind(X,$fot(multiply(X_90,X_10))),bind(X_51,$fot(X_90))]]) ).
cnf(refute_0_891,plain,
multiply(inverse(multiply(X_90,X_10)),X_90) = inverse(X_10),
inference(subst,[],[refute_0_208:[bind(X_58,$fot(X_90))]]) ).
cnf(refute_0_892,plain,
( multiply(multiply(X_90,X_10),inverse(X_90)) != inverse(multiply(commutator(inverse(X_90),multiply(X_90,X_10)),multiply(inverse(multiply(X_90,X_10)),X_90)))
| multiply(inverse(multiply(X_90,X_10)),X_90) != inverse(X_10)
| multiply(multiply(X_90,X_10),inverse(X_90)) = inverse(multiply(commutator(inverse(X_90),multiply(X_90,X_10)),inverse(X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_90,X_10),inverse(X_90)),inverse(multiply(commutator(inverse(X_90),multiply(X_90,X_10)),multiply(inverse(multiply(X_90,X_10)),X_90)))) ),[1,0,1],$fot(inverse(X_10))]]) ).
cnf(refute_0_893,plain,
( multiply(multiply(X_90,X_10),inverse(X_90)) != inverse(multiply(commutator(inverse(X_90),multiply(X_90,X_10)),multiply(inverse(multiply(X_90,X_10)),X_90)))
| multiply(multiply(X_90,X_10),inverse(X_90)) = inverse(multiply(commutator(inverse(X_90),multiply(X_90,X_10)),inverse(X_10))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_90,X_10)),X_90),inverse(X_10)) )],[refute_0_891,refute_0_892]) ).
cnf(refute_0_894,plain,
multiply(multiply(X_90,X_10),inverse(X_90)) = inverse(multiply(commutator(inverse(X_90),multiply(X_90,X_10)),inverse(X_10))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_90,X_10),inverse(X_90)),inverse(multiply(commutator(inverse(X_90),multiply(X_90,X_10)),multiply(inverse(multiply(X_90,X_10)),X_90)))) )],[refute_0_890,refute_0_893]) ).
cnf(refute_0_895,plain,
multiply(multiply(X_90,X_10),inverse(X_90)) = multiply(X_90,multiply(X_10,inverse(X_90))),
inference(subst,[],[associativity:[bind(X,$fot(X_90)),bind(Y,$fot(X_10)),bind(Z,$fot(inverse(X_90)))]]) ).
cnf(refute_0_896,plain,
( multiply(multiply(X_90,X_10),inverse(X_90)) != multiply(X_90,multiply(X_10,inverse(X_90)))
| multiply(multiply(X_90,X_10),inverse(X_90)) != inverse(multiply(commutator(inverse(X_90),multiply(X_90,X_10)),inverse(X_10)))
| multiply(X_90,multiply(X_10,inverse(X_90))) = inverse(multiply(commutator(inverse(X_90),multiply(X_90,X_10)),inverse(X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_90,X_10),inverse(X_90)),inverse(multiply(commutator(inverse(X_90),multiply(X_90,X_10)),inverse(X_10)))) ),[0],$fot(multiply(X_90,multiply(X_10,inverse(X_90))))]]) ).
cnf(refute_0_897,plain,
( multiply(multiply(X_90,X_10),inverse(X_90)) != inverse(multiply(commutator(inverse(X_90),multiply(X_90,X_10)),inverse(X_10)))
| multiply(X_90,multiply(X_10,inverse(X_90))) = inverse(multiply(commutator(inverse(X_90),multiply(X_90,X_10)),inverse(X_10))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_90,X_10),inverse(X_90)),multiply(X_90,multiply(X_10,inverse(X_90)))) )],[refute_0_895,refute_0_896]) ).
cnf(refute_0_898,plain,
commutator(multiply(X_84,X_83),inverse(X_84)) = inverse(commutator(inverse(X_84),multiply(X_84,X_83))),
inference(subst,[],[refute_0_323:[bind(X,$fot(multiply(X_84,X_83))),bind(Y,$fot(inverse(X_84)))]]) ).
cnf(refute_0_899,plain,
commutator(inverse(X_84),X_83) = commutator(inverse(X_84),multiply(X_84,X_83)),
inference(subst,[],[refute_0_436:[bind(Y,$fot(X_83)),bind(X_29,$fot(X_84))]]) ).
cnf(refute_0_900,plain,
( commutator(inverse(X_84),X_83) != commutator(inverse(X_84),multiply(X_84,X_83))
| commutator(inverse(X_84),multiply(X_84,X_83)) = commutator(inverse(X_84),X_83) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(inverse(X_84),X_83))),bind(Y0,$fot(commutator(inverse(X_84),multiply(X_84,X_83))))]]) ).
cnf(refute_0_901,plain,
commutator(inverse(X_84),multiply(X_84,X_83)) = commutator(inverse(X_84),X_83),
inference(resolve,[$cnf( $equal(commutator(inverse(X_84),X_83),commutator(inverse(X_84),multiply(X_84,X_83))) )],[refute_0_899,refute_0_900]) ).
cnf(refute_0_902,plain,
( commutator(multiply(X_84,X_83),inverse(X_84)) != inverse(commutator(inverse(X_84),multiply(X_84,X_83)))
| commutator(inverse(X_84),multiply(X_84,X_83)) != commutator(inverse(X_84),X_83)
| commutator(multiply(X_84,X_83),inverse(X_84)) = inverse(commutator(inverse(X_84),X_83)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_84,X_83),inverse(X_84)),inverse(commutator(inverse(X_84),multiply(X_84,X_83)))) ),[1,0],$fot(commutator(inverse(X_84),X_83))]]) ).
cnf(refute_0_903,plain,
( commutator(multiply(X_84,X_83),inverse(X_84)) != inverse(commutator(inverse(X_84),multiply(X_84,X_83)))
| commutator(multiply(X_84,X_83),inverse(X_84)) = inverse(commutator(inverse(X_84),X_83)) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_84),multiply(X_84,X_83)),commutator(inverse(X_84),X_83)) )],[refute_0_901,refute_0_902]) ).
cnf(refute_0_904,plain,
commutator(multiply(X_84,X_83),inverse(X_84)) = inverse(commutator(inverse(X_84),X_83)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_84,X_83),inverse(X_84)),inverse(commutator(inverse(X_84),multiply(X_84,X_83)))) )],[refute_0_898,refute_0_903]) ).
cnf(refute_0_905,plain,
inverse(commutator(inverse(X_84),X_83)) = commutator(X_83,inverse(X_84)),
inference(subst,[],[refute_0_386:[bind(X,$fot(X_83)),bind(Y,$fot(inverse(X_84)))]]) ).
cnf(refute_0_906,plain,
( commutator(multiply(X_84,X_83),inverse(X_84)) != inverse(commutator(inverse(X_84),X_83))
| inverse(commutator(inverse(X_84),X_83)) != commutator(X_83,inverse(X_84))
| commutator(multiply(X_84,X_83),inverse(X_84)) = commutator(X_83,inverse(X_84)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(multiply(X_84,X_83),inverse(X_84)),commutator(X_83,inverse(X_84))) ),[0],$fot(inverse(commutator(inverse(X_84),X_83)))]]) ).
cnf(refute_0_907,plain,
( commutator(multiply(X_84,X_83),inverse(X_84)) != inverse(commutator(inverse(X_84),X_83))
| commutator(multiply(X_84,X_83),inverse(X_84)) = commutator(X_83,inverse(X_84)) ),
inference(resolve,[$cnf( $equal(inverse(commutator(inverse(X_84),X_83)),commutator(X_83,inverse(X_84))) )],[refute_0_905,refute_0_906]) ).
cnf(refute_0_908,plain,
commutator(multiply(X_84,X_83),inverse(X_84)) = commutator(X_83,inverse(X_84)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_84,X_83),inverse(X_84)),inverse(commutator(inverse(X_84),X_83))) )],[refute_0_904,refute_0_907]) ).
cnf(refute_0_909,plain,
commutator(multiply(X_90,X_10),inverse(X_90)) = commutator(X_10,inverse(X_90)),
inference(subst,[],[refute_0_908:[bind(X_83,$fot(X_10)),bind(X_84,$fot(X_90))]]) ).
cnf(refute_0_910,plain,
inverse(commutator(inverse(X_90),multiply(X_90,X_10))) = commutator(multiply(X_90,X_10),inverse(X_90)),
inference(subst,[],[refute_0_386:[bind(X,$fot(multiply(X_90,X_10))),bind(Y,$fot(inverse(X_90)))]]) ).
cnf(refute_0_911,plain,
( commutator(multiply(X_90,X_10),inverse(X_90)) != commutator(X_10,inverse(X_90))
| inverse(commutator(inverse(X_90),multiply(X_90,X_10))) != commutator(multiply(X_90,X_10),inverse(X_90))
| inverse(commutator(inverse(X_90),multiply(X_90,X_10))) = commutator(X_10,inverse(X_90)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(commutator(inverse(X_90),multiply(X_90,X_10))))),bind(Y0,$fot(commutator(multiply(X_90,X_10),inverse(X_90)))),bind(Z0,$fot(commutator(X_10,inverse(X_90))))]]) ).
cnf(refute_0_912,plain,
( commutator(multiply(X_90,X_10),inverse(X_90)) != commutator(X_10,inverse(X_90))
| inverse(commutator(inverse(X_90),multiply(X_90,X_10))) = commutator(X_10,inverse(X_90)) ),
inference(resolve,[$cnf( $equal(inverse(commutator(inverse(X_90),multiply(X_90,X_10))),commutator(multiply(X_90,X_10),inverse(X_90))) )],[refute_0_910,refute_0_911]) ).
cnf(refute_0_913,plain,
inverse(commutator(inverse(X_90),multiply(X_90,X_10))) = commutator(X_10,inverse(X_90)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_90,X_10),inverse(X_90)),commutator(X_10,inverse(X_90))) )],[refute_0_909,refute_0_912]) ).
cnf(refute_0_914,plain,
multiply(X_10,inverse(commutator(inverse(X_90),multiply(X_90,X_10)))) = multiply(X_10,inverse(commutator(inverse(X_90),multiply(X_90,X_10)))),
introduced(tautology,[refl,[$fot(multiply(X_10,inverse(commutator(inverse(X_90),multiply(X_90,X_10)))))]]) ).
cnf(refute_0_915,plain,
( multiply(X_10,inverse(commutator(inverse(X_90),multiply(X_90,X_10)))) != multiply(X_10,inverse(commutator(inverse(X_90),multiply(X_90,X_10))))
| inverse(commutator(inverse(X_90),multiply(X_90,X_10))) != commutator(X_10,inverse(X_90))
| multiply(X_10,inverse(commutator(inverse(X_90),multiply(X_90,X_10)))) = multiply(X_10,commutator(X_10,inverse(X_90))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_10,inverse(commutator(inverse(X_90),multiply(X_90,X_10)))),multiply(X_10,inverse(commutator(inverse(X_90),multiply(X_90,X_10))))) ),[1,1],$fot(commutator(X_10,inverse(X_90)))]]) ).
cnf(refute_0_916,plain,
( inverse(commutator(inverse(X_90),multiply(X_90,X_10))) != commutator(X_10,inverse(X_90))
| multiply(X_10,inverse(commutator(inverse(X_90),multiply(X_90,X_10)))) = multiply(X_10,commutator(X_10,inverse(X_90))) ),
inference(resolve,[$cnf( $equal(multiply(X_10,inverse(commutator(inverse(X_90),multiply(X_90,X_10)))),multiply(X_10,inverse(commutator(inverse(X_90),multiply(X_90,X_10))))) )],[refute_0_914,refute_0_915]) ).
cnf(refute_0_917,plain,
multiply(X_10,inverse(commutator(inverse(X_90),multiply(X_90,X_10)))) = multiply(X_10,commutator(X_10,inverse(X_90))),
inference(resolve,[$cnf( $equal(inverse(commutator(inverse(X_90),multiply(X_90,X_10))),commutator(X_10,inverse(X_90))) )],[refute_0_913,refute_0_916]) ).
cnf(refute_0_918,plain,
inverse(multiply(commutator(inverse(X_90),multiply(X_90,X_10)),inverse(X_10))) = multiply(X_10,inverse(commutator(inverse(X_90),multiply(X_90,X_10)))),
inference(subst,[],[refute_0_180:[bind(X,$fot(X_10)),bind(X_58,$fot(commutator(inverse(X_90),multiply(X_90,X_10))))]]) ).
cnf(refute_0_919,plain,
( multiply(X_10,inverse(commutator(inverse(X_90),multiply(X_90,X_10)))) != multiply(X_10,commutator(X_10,inverse(X_90)))
| inverse(multiply(commutator(inverse(X_90),multiply(X_90,X_10)),inverse(X_10))) != multiply(X_10,inverse(commutator(inverse(X_90),multiply(X_90,X_10))))
| inverse(multiply(commutator(inverse(X_90),multiply(X_90,X_10)),inverse(X_10))) = multiply(X_10,commutator(X_10,inverse(X_90))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(commutator(inverse(X_90),multiply(X_90,X_10)),inverse(X_10))))),bind(Y0,$fot(multiply(X_10,inverse(commutator(inverse(X_90),multiply(X_90,X_10)))))),bind(Z0,$fot(multiply(X_10,commutator(X_10,inverse(X_90)))))]]) ).
cnf(refute_0_920,plain,
( multiply(X_10,inverse(commutator(inverse(X_90),multiply(X_90,X_10)))) != multiply(X_10,commutator(X_10,inverse(X_90)))
| inverse(multiply(commutator(inverse(X_90),multiply(X_90,X_10)),inverse(X_10))) = multiply(X_10,commutator(X_10,inverse(X_90))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(inverse(X_90),multiply(X_90,X_10)),inverse(X_10))),multiply(X_10,inverse(commutator(inverse(X_90),multiply(X_90,X_10))))) )],[refute_0_918,refute_0_919]) ).
cnf(refute_0_921,plain,
inverse(multiply(commutator(inverse(X_90),multiply(X_90,X_10)),inverse(X_10))) = multiply(X_10,commutator(X_10,inverse(X_90))),
inference(resolve,[$cnf( $equal(multiply(X_10,inverse(commutator(inverse(X_90),multiply(X_90,X_10)))),multiply(X_10,commutator(X_10,inverse(X_90)))) )],[refute_0_917,refute_0_920]) ).
cnf(refute_0_922,plain,
( multiply(X_90,multiply(X_10,inverse(X_90))) != inverse(multiply(commutator(inverse(X_90),multiply(X_90,X_10)),inverse(X_10)))
| inverse(multiply(commutator(inverse(X_90),multiply(X_90,X_10)),inverse(X_10))) != multiply(X_10,commutator(X_10,inverse(X_90)))
| multiply(X_90,multiply(X_10,inverse(X_90))) = multiply(X_10,commutator(X_10,inverse(X_90))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_90,multiply(X_10,inverse(X_90))),multiply(X_10,commutator(X_10,inverse(X_90)))) ),[0],$fot(inverse(multiply(commutator(inverse(X_90),multiply(X_90,X_10)),inverse(X_10))))]]) ).
cnf(refute_0_923,plain,
( multiply(X_90,multiply(X_10,inverse(X_90))) != inverse(multiply(commutator(inverse(X_90),multiply(X_90,X_10)),inverse(X_10)))
| multiply(X_90,multiply(X_10,inverse(X_90))) = multiply(X_10,commutator(X_10,inverse(X_90))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(inverse(X_90),multiply(X_90,X_10)),inverse(X_10))),multiply(X_10,commutator(X_10,inverse(X_90)))) )],[refute_0_921,refute_0_922]) ).
cnf(refute_0_924,plain,
( multiply(multiply(X_90,X_10),inverse(X_90)) != inverse(multiply(commutator(inverse(X_90),multiply(X_90,X_10)),inverse(X_10)))
| multiply(X_90,multiply(X_10,inverse(X_90))) = multiply(X_10,commutator(X_10,inverse(X_90))) ),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(X_10,inverse(X_90))),inverse(multiply(commutator(inverse(X_90),multiply(X_90,X_10)),inverse(X_10)))) )],[refute_0_897,refute_0_923]) ).
cnf(refute_0_925,plain,
multiply(X_90,multiply(X_10,inverse(X_90))) = multiply(X_10,commutator(X_10,inverse(X_90))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_90,X_10),inverse(X_90)),inverse(multiply(commutator(inverse(X_90),multiply(X_90,X_10)),inverse(X_10)))) )],[refute_0_894,refute_0_924]) ).
cnf(refute_0_926,plain,
commutator(X_10,inverse(X_90)) = commutator(X_90,X_10),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(X_90)),bind(X_110,$fot(X_10))]]) ).
cnf(refute_0_927,plain,
multiply(X_10,commutator(X_10,inverse(X_90))) = multiply(X_10,commutator(X_10,inverse(X_90))),
introduced(tautology,[refl,[$fot(multiply(X_10,commutator(X_10,inverse(X_90))))]]) ).
cnf(refute_0_928,plain,
( multiply(X_10,commutator(X_10,inverse(X_90))) != multiply(X_10,commutator(X_10,inverse(X_90)))
| commutator(X_10,inverse(X_90)) != commutator(X_90,X_10)
| multiply(X_10,commutator(X_10,inverse(X_90))) = multiply(X_10,commutator(X_90,X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_10,commutator(X_10,inverse(X_90))),multiply(X_10,commutator(X_10,inverse(X_90)))) ),[1,1],$fot(commutator(X_90,X_10))]]) ).
cnf(refute_0_929,plain,
( commutator(X_10,inverse(X_90)) != commutator(X_90,X_10)
| multiply(X_10,commutator(X_10,inverse(X_90))) = multiply(X_10,commutator(X_90,X_10)) ),
inference(resolve,[$cnf( $equal(multiply(X_10,commutator(X_10,inverse(X_90))),multiply(X_10,commutator(X_10,inverse(X_90)))) )],[refute_0_927,refute_0_928]) ).
cnf(refute_0_930,plain,
multiply(X_10,commutator(X_10,inverse(X_90))) = multiply(X_10,commutator(X_90,X_10)),
inference(resolve,[$cnf( $equal(commutator(X_10,inverse(X_90)),commutator(X_90,X_10)) )],[refute_0_926,refute_0_929]) ).
cnf(refute_0_931,plain,
( multiply(X_10,commutator(X_10,inverse(X_90))) != multiply(X_10,commutator(X_90,X_10))
| multiply(X_90,multiply(X_10,inverse(X_90))) != multiply(X_10,commutator(X_10,inverse(X_90)))
| multiply(X_90,multiply(X_10,inverse(X_90))) = multiply(X_10,commutator(X_90,X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_90,multiply(X_10,inverse(X_90))),multiply(X_10,commutator(X_10,inverse(X_90)))) ),[1],$fot(multiply(X_10,commutator(X_90,X_10)))]]) ).
cnf(refute_0_932,plain,
( multiply(X_90,multiply(X_10,inverse(X_90))) != multiply(X_10,commutator(X_10,inverse(X_90)))
| multiply(X_90,multiply(X_10,inverse(X_90))) = multiply(X_10,commutator(X_90,X_10)) ),
inference(resolve,[$cnf( $equal(multiply(X_10,commutator(X_10,inverse(X_90))),multiply(X_10,commutator(X_90,X_10))) )],[refute_0_930,refute_0_931]) ).
cnf(refute_0_933,plain,
multiply(X_90,multiply(X_10,inverse(X_90))) = multiply(X_10,commutator(X_90,X_10)),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(X_10,inverse(X_90))),multiply(X_10,commutator(X_10,inverse(X_90)))) )],[refute_0_925,refute_0_932]) ).
cnf(refute_0_934,plain,
multiply(multiply(X_135,commutator(X_153,X_135)),multiply(X_153,inverse(multiply(X_135,commutator(X_153,X_135))))) = multiply(X_153,commutator(multiply(X_135,commutator(X_153,X_135)),X_153)),
inference(subst,[],[refute_0_933:[bind(X_10,$fot(X_153)),bind(X_90,$fot(multiply(X_135,commutator(X_153,X_135))))]]) ).
cnf(refute_0_935,plain,
commutator(X_10,multiply(X_10,inverse(multiply(X_10,X_135)))) = commutator(X_10,inverse(multiply(X_10,X_135))),
inference(subst,[],[refute_0_455:[bind(X_11,$fot(inverse(multiply(X_10,X_135))))]]) ).
cnf(refute_0_936,plain,
multiply(X_10,inverse(multiply(X_10,X_135))) = inverse(multiply(X_135,commutator(X_10,X_135))),
inference(subst,[],[refute_0_598:[bind(X_10,$fot(X_135)),bind(X_58,$fot(X_10))]]) ).
cnf(refute_0_937,plain,
( multiply(X_10,inverse(multiply(X_10,X_135))) != inverse(multiply(X_135,commutator(X_10,X_135)))
| commutator(X_10,multiply(X_10,inverse(multiply(X_10,X_135)))) != commutator(X_10,inverse(multiply(X_10,X_135)))
| commutator(X_10,inverse(multiply(X_135,commutator(X_10,X_135)))) = commutator(X_10,inverse(multiply(X_10,X_135))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_10,multiply(X_10,inverse(multiply(X_10,X_135)))),commutator(X_10,inverse(multiply(X_10,X_135)))) ),[0,1],$fot(inverse(multiply(X_135,commutator(X_10,X_135))))]]) ).
cnf(refute_0_938,plain,
( commutator(X_10,multiply(X_10,inverse(multiply(X_10,X_135)))) != commutator(X_10,inverse(multiply(X_10,X_135)))
| commutator(X_10,inverse(multiply(X_135,commutator(X_10,X_135)))) = commutator(X_10,inverse(multiply(X_10,X_135))) ),
inference(resolve,[$cnf( $equal(multiply(X_10,inverse(multiply(X_10,X_135))),inverse(multiply(X_135,commutator(X_10,X_135)))) )],[refute_0_936,refute_0_937]) ).
cnf(refute_0_939,plain,
commutator(X_10,inverse(multiply(X_135,commutator(X_10,X_135)))) = commutator(X_10,inverse(multiply(X_10,X_135))),
inference(resolve,[$cnf( $equal(commutator(X_10,multiply(X_10,inverse(multiply(X_10,X_135)))),commutator(X_10,inverse(multiply(X_10,X_135)))) )],[refute_0_935,refute_0_938]) ).
cnf(refute_0_940,plain,
commutator(X_10,inverse(multiply(X_135,commutator(X_10,X_135)))) = commutator(multiply(X_135,commutator(X_10,X_135)),X_10),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(multiply(X_135,commutator(X_10,X_135)))),bind(X_110,$fot(X_10))]]) ).
cnf(refute_0_941,plain,
( commutator(X_10,inverse(multiply(X_135,commutator(X_10,X_135)))) != commutator(X_10,inverse(multiply(X_10,X_135)))
| commutator(X_10,inverse(multiply(X_135,commutator(X_10,X_135)))) != commutator(multiply(X_135,commutator(X_10,X_135)),X_10)
| commutator(multiply(X_135,commutator(X_10,X_135)),X_10) = commutator(X_10,inverse(multiply(X_10,X_135))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_10,inverse(multiply(X_135,commutator(X_10,X_135)))),commutator(X_10,inverse(multiply(X_10,X_135)))) ),[0],$fot(commutator(multiply(X_135,commutator(X_10,X_135)),X_10))]]) ).
cnf(refute_0_942,plain,
( commutator(X_10,inverse(multiply(X_135,commutator(X_10,X_135)))) != commutator(X_10,inverse(multiply(X_10,X_135)))
| commutator(multiply(X_135,commutator(X_10,X_135)),X_10) = commutator(X_10,inverse(multiply(X_10,X_135))) ),
inference(resolve,[$cnf( $equal(commutator(X_10,inverse(multiply(X_135,commutator(X_10,X_135)))),commutator(multiply(X_135,commutator(X_10,X_135)),X_10)) )],[refute_0_940,refute_0_941]) ).
cnf(refute_0_943,plain,
commutator(multiply(Y,X_86),Y) = inverse(commutator(Y,multiply(Y,X_86))),
inference(subst,[],[refute_0_323:[bind(X,$fot(multiply(Y,X_86)))]]) ).
cnf(refute_0_944,plain,
commutator(Y,multiply(Y,X_86)) = commutator(Y,X_86),
inference(subst,[],[refute_0_455:[bind(X_10,$fot(Y)),bind(X_11,$fot(X_86))]]) ).
cnf(refute_0_945,plain,
( commutator(Y,multiply(Y,X_86)) != commutator(Y,X_86)
| commutator(multiply(Y,X_86),Y) != inverse(commutator(Y,multiply(Y,X_86)))
| commutator(multiply(Y,X_86),Y) = inverse(commutator(Y,X_86)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(Y,X_86),Y),inverse(commutator(Y,multiply(Y,X_86)))) ),[1,0],$fot(commutator(Y,X_86))]]) ).
cnf(refute_0_946,plain,
( commutator(multiply(Y,X_86),Y) != inverse(commutator(Y,multiply(Y,X_86)))
| commutator(multiply(Y,X_86),Y) = inverse(commutator(Y,X_86)) ),
inference(resolve,[$cnf( $equal(commutator(Y,multiply(Y,X_86)),commutator(Y,X_86)) )],[refute_0_944,refute_0_945]) ).
cnf(refute_0_947,plain,
commutator(multiply(Y,X_86),Y) = inverse(commutator(Y,X_86)),
inference(resolve,[$cnf( $equal(commutator(multiply(Y,X_86),Y),inverse(commutator(Y,multiply(Y,X_86)))) )],[refute_0_943,refute_0_946]) ).
cnf(refute_0_948,plain,
inverse(commutator(Y,X_86)) = commutator(X_86,Y),
inference(subst,[],[refute_0_386:[bind(X,$fot(X_86))]]) ).
cnf(refute_0_949,plain,
( commutator(multiply(Y,X_86),Y) != inverse(commutator(Y,X_86))
| inverse(commutator(Y,X_86)) != commutator(X_86,Y)
| commutator(multiply(Y,X_86),Y) = commutator(X_86,Y) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(multiply(Y,X_86),Y),commutator(X_86,Y)) ),[0],$fot(inverse(commutator(Y,X_86)))]]) ).
cnf(refute_0_950,plain,
( commutator(multiply(Y,X_86),Y) != inverse(commutator(Y,X_86))
| commutator(multiply(Y,X_86),Y) = commutator(X_86,Y) ),
inference(resolve,[$cnf( $equal(inverse(commutator(Y,X_86)),commutator(X_86,Y)) )],[refute_0_948,refute_0_949]) ).
cnf(refute_0_951,plain,
commutator(multiply(Y,X_86),Y) = commutator(X_86,Y),
inference(resolve,[$cnf( $equal(commutator(multiply(Y,X_86),Y),inverse(commutator(Y,X_86))) )],[refute_0_947,refute_0_950]) ).
cnf(refute_0_952,plain,
commutator(multiply(X_10,X_135),X_10) = commutator(X_135,X_10),
inference(subst,[],[refute_0_951:[bind(Y,$fot(X_10)),bind(X_86,$fot(X_135))]]) ).
cnf(refute_0_953,plain,
commutator(X_10,inverse(multiply(X_10,X_135))) = commutator(multiply(X_10,X_135),X_10),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(multiply(X_10,X_135))),bind(X_110,$fot(X_10))]]) ).
cnf(refute_0_954,plain,
( commutator(X_10,inverse(multiply(X_10,X_135))) != commutator(multiply(X_10,X_135),X_10)
| commutator(multiply(X_10,X_135),X_10) != commutator(X_135,X_10)
| commutator(X_10,inverse(multiply(X_10,X_135))) = commutator(X_135,X_10) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(X_10,inverse(multiply(X_10,X_135))))),bind(Y0,$fot(commutator(multiply(X_10,X_135),X_10))),bind(Z0,$fot(commutator(X_135,X_10)))]]) ).
cnf(refute_0_955,plain,
( commutator(multiply(X_10,X_135),X_10) != commutator(X_135,X_10)
| commutator(X_10,inverse(multiply(X_10,X_135))) = commutator(X_135,X_10) ),
inference(resolve,[$cnf( $equal(commutator(X_10,inverse(multiply(X_10,X_135))),commutator(multiply(X_10,X_135),X_10)) )],[refute_0_953,refute_0_954]) ).
cnf(refute_0_956,plain,
commutator(X_10,inverse(multiply(X_10,X_135))) = commutator(X_135,X_10),
inference(resolve,[$cnf( $equal(commutator(multiply(X_10,X_135),X_10),commutator(X_135,X_10)) )],[refute_0_952,refute_0_955]) ).
cnf(refute_0_957,plain,
( commutator(X_10,inverse(multiply(X_10,X_135))) != commutator(X_135,X_10)
| commutator(multiply(X_135,commutator(X_10,X_135)),X_10) != commutator(X_10,inverse(multiply(X_10,X_135)))
| commutator(multiply(X_135,commutator(X_10,X_135)),X_10) = commutator(X_135,X_10) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_135,commutator(X_10,X_135)),X_10),commutator(X_10,inverse(multiply(X_10,X_135)))) ),[1],$fot(commutator(X_135,X_10))]]) ).
cnf(refute_0_958,plain,
( commutator(multiply(X_135,commutator(X_10,X_135)),X_10) != commutator(X_10,inverse(multiply(X_10,X_135)))
| commutator(multiply(X_135,commutator(X_10,X_135)),X_10) = commutator(X_135,X_10) ),
inference(resolve,[$cnf( $equal(commutator(X_10,inverse(multiply(X_10,X_135))),commutator(X_135,X_10)) )],[refute_0_956,refute_0_957]) ).
cnf(refute_0_959,plain,
( commutator(X_10,inverse(multiply(X_135,commutator(X_10,X_135)))) != commutator(X_10,inverse(multiply(X_10,X_135)))
| commutator(multiply(X_135,commutator(X_10,X_135)),X_10) = commutator(X_135,X_10) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_135,commutator(X_10,X_135)),X_10),commutator(X_10,inverse(multiply(X_10,X_135)))) )],[refute_0_942,refute_0_958]) ).
cnf(refute_0_960,plain,
commutator(multiply(X_135,commutator(X_10,X_135)),X_10) = commutator(X_135,X_10),
inference(resolve,[$cnf( $equal(commutator(X_10,inverse(multiply(X_135,commutator(X_10,X_135)))),commutator(X_10,inverse(multiply(X_10,X_135)))) )],[refute_0_939,refute_0_959]) ).
cnf(refute_0_961,plain,
commutator(multiply(X_135,commutator(X_153,X_135)),X_153) = commutator(X_135,X_153),
inference(subst,[],[refute_0_960:[bind(X_10,$fot(X_153))]]) ).
cnf(refute_0_962,plain,
( multiply(multiply(X_135,commutator(X_153,X_135)),multiply(X_153,inverse(multiply(X_135,commutator(X_153,X_135))))) != multiply(X_153,commutator(multiply(X_135,commutator(X_153,X_135)),X_153))
| commutator(multiply(X_135,commutator(X_153,X_135)),X_153) != commutator(X_135,X_153)
| multiply(multiply(X_135,commutator(X_153,X_135)),multiply(X_153,inverse(multiply(X_135,commutator(X_153,X_135))))) = multiply(X_153,commutator(X_135,X_153)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_135,commutator(X_153,X_135)),multiply(X_153,inverse(multiply(X_135,commutator(X_153,X_135))))),multiply(X_153,commutator(multiply(X_135,commutator(X_153,X_135)),X_153))) ),[1,1],$fot(commutator(X_135,X_153))]]) ).
cnf(refute_0_963,plain,
( multiply(multiply(X_135,commutator(X_153,X_135)),multiply(X_153,inverse(multiply(X_135,commutator(X_153,X_135))))) != multiply(X_153,commutator(multiply(X_135,commutator(X_153,X_135)),X_153))
| multiply(multiply(X_135,commutator(X_153,X_135)),multiply(X_153,inverse(multiply(X_135,commutator(X_153,X_135))))) = multiply(X_153,commutator(X_135,X_153)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_135,commutator(X_153,X_135)),X_153),commutator(X_135,X_153)) )],[refute_0_961,refute_0_962]) ).
cnf(refute_0_964,plain,
multiply(multiply(X_135,commutator(X_153,X_135)),multiply(X_153,inverse(multiply(X_135,commutator(X_153,X_135))))) = multiply(X_153,commutator(X_135,X_153)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_135,commutator(X_153,X_135)),multiply(X_153,inverse(multiply(X_135,commutator(X_153,X_135))))),multiply(X_153,commutator(multiply(X_135,commutator(X_153,X_135)),X_153))) )],[refute_0_934,refute_0_963]) ).
cnf(refute_0_965,plain,
multiply(commutator(multiply(X_135,commutator(X_153,X_135)),X_153),X_153) = multiply(commutator(multiply(X_135,commutator(X_153,X_135)),X_153),X_153),
introduced(tautology,[refl,[$fot(multiply(commutator(multiply(X_135,commutator(X_153,X_135)),X_153),X_153))]]) ).
cnf(refute_0_966,plain,
( multiply(commutator(multiply(X_135,commutator(X_153,X_135)),X_153),X_153) != multiply(commutator(multiply(X_135,commutator(X_153,X_135)),X_153),X_153)
| commutator(multiply(X_135,commutator(X_153,X_135)),X_153) != commutator(X_135,X_153)
| multiply(commutator(multiply(X_135,commutator(X_153,X_135)),X_153),X_153) = multiply(commutator(X_135,X_153),X_153) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(multiply(X_135,commutator(X_153,X_135)),X_153),X_153),multiply(commutator(multiply(X_135,commutator(X_153,X_135)),X_153),X_153)) ),[1,0],$fot(commutator(X_135,X_153))]]) ).
cnf(refute_0_967,plain,
( commutator(multiply(X_135,commutator(X_153,X_135)),X_153) != commutator(X_135,X_153)
| multiply(commutator(multiply(X_135,commutator(X_153,X_135)),X_153),X_153) = multiply(commutator(X_135,X_153),X_153) ),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_135,commutator(X_153,X_135)),X_153),X_153),multiply(commutator(multiply(X_135,commutator(X_153,X_135)),X_153),X_153)) )],[refute_0_965,refute_0_966]) ).
cnf(refute_0_968,plain,
multiply(commutator(multiply(X_135,commutator(X_153,X_135)),X_153),X_153) = multiply(commutator(X_135,X_153),X_153),
inference(resolve,[$cnf( $equal(commutator(multiply(X_135,commutator(X_153,X_135)),X_153),commutator(X_135,X_153)) )],[refute_0_961,refute_0_967]) ).
cnf(refute_0_969,plain,
multiply(inverse(commutator(X_154,inverse(X_61))),X_61) = inverse(multiply(inverse(X_61),commutator(X_154,inverse(X_61)))),
inference(subst,[],[refute_0_292:[bind(Z,$fot(commutator(X_154,inverse(X_61))))]]) ).
cnf(refute_0_970,plain,
multiply(X_154,multiply(inverse(X_61),inverse(X_154))) = multiply(inverse(X_61),commutator(X_154,inverse(X_61))),
inference(subst,[],[refute_0_933:[bind(X_10,$fot(inverse(X_61))),bind(X_90,$fot(X_154))]]) ).
cnf(refute_0_971,plain,
( multiply(X_154,multiply(inverse(X_61),inverse(X_154))) != multiply(inverse(X_61),commutator(X_154,inverse(X_61)))
| multiply(inverse(X_61),commutator(X_154,inverse(X_61))) = multiply(X_154,multiply(inverse(X_61),inverse(X_154))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(X_154,multiply(inverse(X_61),inverse(X_154))))),bind(Y0,$fot(multiply(inverse(X_61),commutator(X_154,inverse(X_61)))))]]) ).
cnf(refute_0_972,plain,
multiply(inverse(X_61),commutator(X_154,inverse(X_61))) = multiply(X_154,multiply(inverse(X_61),inverse(X_154))),
inference(resolve,[$cnf( $equal(multiply(X_154,multiply(inverse(X_61),inverse(X_154))),multiply(inverse(X_61),commutator(X_154,inverse(X_61)))) )],[refute_0_970,refute_0_971]) ).
cnf(refute_0_973,plain,
( multiply(inverse(X_61),commutator(X_154,inverse(X_61))) != multiply(X_154,multiply(inverse(X_61),inverse(X_154)))
| multiply(inverse(commutator(X_154,inverse(X_61))),X_61) != inverse(multiply(inverse(X_61),commutator(X_154,inverse(X_61))))
| multiply(inverse(commutator(X_154,inverse(X_61))),X_61) = inverse(multiply(X_154,multiply(inverse(X_61),inverse(X_154)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(commutator(X_154,inverse(X_61))),X_61),inverse(multiply(inverse(X_61),commutator(X_154,inverse(X_61))))) ),[1,0],$fot(multiply(X_154,multiply(inverse(X_61),inverse(X_154))))]]) ).
cnf(refute_0_974,plain,
( multiply(inverse(commutator(X_154,inverse(X_61))),X_61) != inverse(multiply(inverse(X_61),commutator(X_154,inverse(X_61))))
| multiply(inverse(commutator(X_154,inverse(X_61))),X_61) = inverse(multiply(X_154,multiply(inverse(X_61),inverse(X_154)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_61),commutator(X_154,inverse(X_61))),multiply(X_154,multiply(inverse(X_61),inverse(X_154)))) )],[refute_0_972,refute_0_973]) ).
cnf(refute_0_975,plain,
multiply(inverse(commutator(X_154,inverse(X_61))),X_61) = inverse(multiply(X_154,multiply(inverse(X_61),inverse(X_154)))),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X_154,inverse(X_61))),X_61),inverse(multiply(inverse(X_61),commutator(X_154,inverse(X_61))))) )],[refute_0_969,refute_0_974]) ).
cnf(refute_0_976,plain,
multiply(inverse(multiply(commutator(inverse(X_109),X_110),commutator(X_109,X_110))),commutator(inverse(X_109),X_110)) = inverse(commutator(X_109,X_110)),
inference(subst,[],[refute_0_208:[bind(X_10,$fot(commutator(X_109,X_110))),bind(X_58,$fot(commutator(inverse(X_109),X_110)))]]) ).
cnf(refute_0_977,plain,
( multiply(commutator(inverse(X_109),X_110),commutator(X_109,X_110)) != identity
| multiply(inverse(multiply(commutator(inverse(X_109),X_110),commutator(X_109,X_110))),commutator(inverse(X_109),X_110)) != inverse(commutator(X_109,X_110))
| multiply(inverse(identity),commutator(inverse(X_109),X_110)) = inverse(commutator(X_109,X_110)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(commutator(inverse(X_109),X_110),commutator(X_109,X_110))),commutator(inverse(X_109),X_110)),inverse(commutator(X_109,X_110))) ),[0,0,0],$fot(identity)]]) ).
cnf(refute_0_978,plain,
( multiply(inverse(multiply(commutator(inverse(X_109),X_110),commutator(X_109,X_110))),commutator(inverse(X_109),X_110)) != inverse(commutator(X_109,X_110))
| multiply(inverse(identity),commutator(inverse(X_109),X_110)) = inverse(commutator(X_109,X_110)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(X_109),X_110),commutator(X_109,X_110)),identity) )],[refute_0_549,refute_0_977]) ).
cnf(refute_0_979,plain,
multiply(inverse(identity),commutator(inverse(X_109),X_110)) = inverse(commutator(X_109,X_110)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(commutator(inverse(X_109),X_110),commutator(X_109,X_110))),commutator(inverse(X_109),X_110)),inverse(commutator(X_109,X_110))) )],[refute_0_976,refute_0_978]) ).
cnf(refute_0_980,plain,
inverse(commutator(X_110,inverse(X_109))) = commutator(inverse(X_109),X_110),
inference(subst,[],[refute_0_386:[bind(X,$fot(inverse(X_109))),bind(Y,$fot(X_110))]]) ).
cnf(refute_0_981,plain,
multiply(commutator(X_110,inverse(X_109)),identity) = commutator(X_110,inverse(X_109)),
inference(subst,[],[refute_0_100:[bind(X_16,$fot(commutator(X_110,inverse(X_109))))]]) ).
cnf(refute_0_982,plain,
inverse(multiply(commutator(X_110,inverse(X_109)),identity)) = inverse(multiply(commutator(X_110,inverse(X_109)),identity)),
introduced(tautology,[refl,[$fot(inverse(multiply(commutator(X_110,inverse(X_109)),identity)))]]) ).
cnf(refute_0_983,plain,
( multiply(commutator(X_110,inverse(X_109)),identity) != commutator(X_110,inverse(X_109))
| inverse(multiply(commutator(X_110,inverse(X_109)),identity)) != inverse(multiply(commutator(X_110,inverse(X_109)),identity))
| inverse(multiply(commutator(X_110,inverse(X_109)),identity)) = inverse(commutator(X_110,inverse(X_109))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(commutator(X_110,inverse(X_109)),identity)),inverse(multiply(commutator(X_110,inverse(X_109)),identity))) ),[1,0],$fot(commutator(X_110,inverse(X_109)))]]) ).
cnf(refute_0_984,plain,
( multiply(commutator(X_110,inverse(X_109)),identity) != commutator(X_110,inverse(X_109))
| inverse(multiply(commutator(X_110,inverse(X_109)),identity)) = inverse(commutator(X_110,inverse(X_109))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_110,inverse(X_109)),identity)),inverse(multiply(commutator(X_110,inverse(X_109)),identity))) )],[refute_0_982,refute_0_983]) ).
cnf(refute_0_985,plain,
inverse(multiply(commutator(X_110,inverse(X_109)),identity)) = inverse(commutator(X_110,inverse(X_109))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_110,inverse(X_109)),identity),commutator(X_110,inverse(X_109))) )],[refute_0_981,refute_0_984]) ).
cnf(refute_0_986,plain,
( inverse(multiply(commutator(X_110,inverse(X_109)),identity)) != inverse(commutator(X_110,inverse(X_109)))
| inverse(commutator(X_110,inverse(X_109))) != commutator(inverse(X_109),X_110)
| inverse(multiply(commutator(X_110,inverse(X_109)),identity)) = commutator(inverse(X_109),X_110) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(commutator(X_110,inverse(X_109)),identity)))),bind(Y0,$fot(inverse(commutator(X_110,inverse(X_109))))),bind(Z0,$fot(commutator(inverse(X_109),X_110)))]]) ).
cnf(refute_0_987,plain,
( inverse(commutator(X_110,inverse(X_109))) != commutator(inverse(X_109),X_110)
| inverse(multiply(commutator(X_110,inverse(X_109)),identity)) = commutator(inverse(X_109),X_110) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_110,inverse(X_109)),identity)),inverse(commutator(X_110,inverse(X_109)))) )],[refute_0_985,refute_0_986]) ).
cnf(refute_0_988,plain,
inverse(multiply(commutator(X_110,inverse(X_109)),identity)) = commutator(inverse(X_109),X_110),
inference(resolve,[$cnf( $equal(inverse(commutator(X_110,inverse(X_109))),commutator(inverse(X_109),X_110)) )],[refute_0_980,refute_0_987]) ).
cnf(refute_0_989,plain,
multiply(inverse(identity),commutator(inverse(X_109),X_110)) = inverse(multiply(commutator(X_110,inverse(X_109)),identity)),
inference(subst,[],[refute_0_331:[bind(X_10,$fot(identity)),bind(X_65,$fot(inverse(X_109))),bind(X_66,$fot(X_110))]]) ).
cnf(refute_0_990,plain,
( multiply(inverse(identity),commutator(inverse(X_109),X_110)) != inverse(multiply(commutator(X_110,inverse(X_109)),identity))
| inverse(multiply(commutator(X_110,inverse(X_109)),identity)) != commutator(inverse(X_109),X_110)
| multiply(inverse(identity),commutator(inverse(X_109),X_110)) = commutator(inverse(X_109),X_110) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(identity),commutator(inverse(X_109),X_110)))),bind(Y0,$fot(inverse(multiply(commutator(X_110,inverse(X_109)),identity)))),bind(Z0,$fot(commutator(inverse(X_109),X_110)))]]) ).
cnf(refute_0_991,plain,
( inverse(multiply(commutator(X_110,inverse(X_109)),identity)) != commutator(inverse(X_109),X_110)
| multiply(inverse(identity),commutator(inverse(X_109),X_110)) = commutator(inverse(X_109),X_110) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),commutator(inverse(X_109),X_110)),inverse(multiply(commutator(X_110,inverse(X_109)),identity))) )],[refute_0_989,refute_0_990]) ).
cnf(refute_0_992,plain,
multiply(inverse(identity),commutator(inverse(X_109),X_110)) = commutator(inverse(X_109),X_110),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_110,inverse(X_109)),identity)),commutator(inverse(X_109),X_110)) )],[refute_0_988,refute_0_991]) ).
cnf(refute_0_993,plain,
( multiply(inverse(identity),commutator(inverse(X_109),X_110)) != commutator(inverse(X_109),X_110)
| multiply(inverse(identity),commutator(inverse(X_109),X_110)) != inverse(commutator(X_109,X_110))
| commutator(inverse(X_109),X_110) = inverse(commutator(X_109,X_110)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),commutator(inverse(X_109),X_110)),inverse(commutator(X_109,X_110))) ),[0],$fot(commutator(inverse(X_109),X_110))]]) ).
cnf(refute_0_994,plain,
( multiply(inverse(identity),commutator(inverse(X_109),X_110)) != inverse(commutator(X_109,X_110))
| commutator(inverse(X_109),X_110) = inverse(commutator(X_109,X_110)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),commutator(inverse(X_109),X_110)),commutator(inverse(X_109),X_110)) )],[refute_0_992,refute_0_993]) ).
cnf(refute_0_995,plain,
inverse(commutator(X_109,X_110)) = commutator(X_110,X_109),
inference(subst,[],[refute_0_386:[bind(X,$fot(X_110)),bind(Y,$fot(X_109))]]) ).
cnf(refute_0_996,plain,
( commutator(inverse(X_109),X_110) != inverse(commutator(X_109,X_110))
| inverse(commutator(X_109,X_110)) != commutator(X_110,X_109)
| commutator(inverse(X_109),X_110) = commutator(X_110,X_109) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(inverse(X_109),X_110),commutator(X_110,X_109)) ),[0],$fot(inverse(commutator(X_109,X_110)))]]) ).
cnf(refute_0_997,plain,
( commutator(inverse(X_109),X_110) != inverse(commutator(X_109,X_110))
| commutator(inverse(X_109),X_110) = commutator(X_110,X_109) ),
inference(resolve,[$cnf( $equal(inverse(commutator(X_109,X_110)),commutator(X_110,X_109)) )],[refute_0_995,refute_0_996]) ).
cnf(refute_0_998,plain,
( multiply(inverse(identity),commutator(inverse(X_109),X_110)) != inverse(commutator(X_109,X_110))
| commutator(inverse(X_109),X_110) = commutator(X_110,X_109) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_109),X_110),inverse(commutator(X_109,X_110))) )],[refute_0_994,refute_0_997]) ).
cnf(refute_0_999,plain,
commutator(inverse(X_109),X_110) = commutator(X_110,X_109),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),commutator(inverse(X_109),X_110)),inverse(commutator(X_109,X_110))) )],[refute_0_979,refute_0_998]) ).
cnf(refute_0_1000,plain,
commutator(inverse(X_61),X_154) = commutator(X_154,X_61),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(X_61)),bind(X_110,$fot(X_154))]]) ).
cnf(refute_0_1001,plain,
inverse(commutator(X_154,inverse(X_61))) = commutator(inverse(X_61),X_154),
inference(subst,[],[refute_0_386:[bind(X,$fot(inverse(X_61))),bind(Y,$fot(X_154))]]) ).
cnf(refute_0_1002,plain,
( commutator(inverse(X_61),X_154) != commutator(X_154,X_61)
| inverse(commutator(X_154,inverse(X_61))) != commutator(inverse(X_61),X_154)
| inverse(commutator(X_154,inverse(X_61))) = commutator(X_154,X_61) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(commutator(X_154,inverse(X_61))))),bind(Y0,$fot(commutator(inverse(X_61),X_154))),bind(Z0,$fot(commutator(X_154,X_61)))]]) ).
cnf(refute_0_1003,plain,
( commutator(inverse(X_61),X_154) != commutator(X_154,X_61)
| inverse(commutator(X_154,inverse(X_61))) = commutator(X_154,X_61) ),
inference(resolve,[$cnf( $equal(inverse(commutator(X_154,inverse(X_61))),commutator(inverse(X_61),X_154)) )],[refute_0_1001,refute_0_1002]) ).
cnf(refute_0_1004,plain,
inverse(commutator(X_154,inverse(X_61))) = commutator(X_154,X_61),
inference(resolve,[$cnf( $equal(commutator(inverse(X_61),X_154),commutator(X_154,X_61)) )],[refute_0_1000,refute_0_1003]) ).
cnf(refute_0_1005,plain,
multiply(inverse(commutator(X_154,inverse(X_61))),X_61) = multiply(inverse(commutator(X_154,inverse(X_61))),X_61),
introduced(tautology,[refl,[$fot(multiply(inverse(commutator(X_154,inverse(X_61))),X_61))]]) ).
cnf(refute_0_1006,plain,
( multiply(inverse(commutator(X_154,inverse(X_61))),X_61) != multiply(inverse(commutator(X_154,inverse(X_61))),X_61)
| inverse(commutator(X_154,inverse(X_61))) != commutator(X_154,X_61)
| multiply(inverse(commutator(X_154,inverse(X_61))),X_61) = multiply(commutator(X_154,X_61),X_61) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(commutator(X_154,inverse(X_61))),X_61),multiply(inverse(commutator(X_154,inverse(X_61))),X_61)) ),[1,0],$fot(commutator(X_154,X_61))]]) ).
cnf(refute_0_1007,plain,
( inverse(commutator(X_154,inverse(X_61))) != commutator(X_154,X_61)
| multiply(inverse(commutator(X_154,inverse(X_61))),X_61) = multiply(commutator(X_154,X_61),X_61) ),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X_154,inverse(X_61))),X_61),multiply(inverse(commutator(X_154,inverse(X_61))),X_61)) )],[refute_0_1005,refute_0_1006]) ).
cnf(refute_0_1008,plain,
multiply(inverse(commutator(X_154,inverse(X_61))),X_61) = multiply(commutator(X_154,X_61),X_61),
inference(resolve,[$cnf( $equal(inverse(commutator(X_154,inverse(X_61))),commutator(X_154,X_61)) )],[refute_0_1004,refute_0_1007]) ).
cnf(refute_0_1009,plain,
( multiply(inverse(commutator(X_154,inverse(X_61))),X_61) != multiply(commutator(X_154,X_61),X_61)
| multiply(inverse(commutator(X_154,inverse(X_61))),X_61) != inverse(multiply(X_154,multiply(inverse(X_61),inverse(X_154))))
| multiply(commutator(X_154,X_61),X_61) = inverse(multiply(X_154,multiply(inverse(X_61),inverse(X_154)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(commutator(X_154,inverse(X_61))),X_61),inverse(multiply(X_154,multiply(inverse(X_61),inverse(X_154))))) ),[0],$fot(multiply(commutator(X_154,X_61),X_61))]]) ).
cnf(refute_0_1010,plain,
( multiply(inverse(commutator(X_154,inverse(X_61))),X_61) != inverse(multiply(X_154,multiply(inverse(X_61),inverse(X_154))))
| multiply(commutator(X_154,X_61),X_61) = inverse(multiply(X_154,multiply(inverse(X_61),inverse(X_154)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X_154,inverse(X_61))),X_61),multiply(commutator(X_154,X_61),X_61)) )],[refute_0_1008,refute_0_1009]) ).
cnf(refute_0_1011,plain,
inverse(multiply(X_154,inverse(X_61))) = multiply(X_61,inverse(X_154)),
inference(subst,[],[refute_0_180:[bind(X,$fot(X_61)),bind(X_58,$fot(X_154))]]) ).
cnf(refute_0_1012,plain,
multiply(X_154,inverse(multiply(X_154,inverse(X_61)))) = multiply(X_154,inverse(multiply(X_154,inverse(X_61)))),
introduced(tautology,[refl,[$fot(multiply(X_154,inverse(multiply(X_154,inverse(X_61)))))]]) ).
cnf(refute_0_1013,plain,
( multiply(X_154,inverse(multiply(X_154,inverse(X_61)))) != multiply(X_154,inverse(multiply(X_154,inverse(X_61))))
| inverse(multiply(X_154,inverse(X_61))) != multiply(X_61,inverse(X_154))
| multiply(X_154,inverse(multiply(X_154,inverse(X_61)))) = multiply(X_154,multiply(X_61,inverse(X_154))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_154,inverse(multiply(X_154,inverse(X_61)))),multiply(X_154,inverse(multiply(X_154,inverse(X_61))))) ),[1,1],$fot(multiply(X_61,inverse(X_154)))]]) ).
cnf(refute_0_1014,plain,
( inverse(multiply(X_154,inverse(X_61))) != multiply(X_61,inverse(X_154))
| multiply(X_154,inverse(multiply(X_154,inverse(X_61)))) = multiply(X_154,multiply(X_61,inverse(X_154))) ),
inference(resolve,[$cnf( $equal(multiply(X_154,inverse(multiply(X_154,inverse(X_61)))),multiply(X_154,inverse(multiply(X_154,inverse(X_61))))) )],[refute_0_1012,refute_0_1013]) ).
cnf(refute_0_1015,plain,
multiply(X_154,inverse(multiply(X_154,inverse(X_61)))) = multiply(X_154,multiply(X_61,inverse(X_154))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_154,inverse(X_61))),multiply(X_61,inverse(X_154))) )],[refute_0_1011,refute_0_1014]) ).
cnf(refute_0_1016,plain,
inverse(multiply(X_154,multiply(inverse(X_61),inverse(X_154)))) = multiply(X_154,inverse(multiply(X_154,inverse(X_61)))),
inference(subst,[],[refute_0_860:[bind(X_58,$fot(X_154)),bind(X_89,$fot(X_154)),bind(X_90,$fot(inverse(X_61)))]]) ).
cnf(refute_0_1017,plain,
( multiply(X_154,inverse(multiply(X_154,inverse(X_61)))) != multiply(X_154,multiply(X_61,inverse(X_154)))
| inverse(multiply(X_154,multiply(inverse(X_61),inverse(X_154)))) != multiply(X_154,inverse(multiply(X_154,inverse(X_61))))
| inverse(multiply(X_154,multiply(inverse(X_61),inverse(X_154)))) = multiply(X_154,multiply(X_61,inverse(X_154))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(X_154,multiply(inverse(X_61),inverse(X_154)))))),bind(Y0,$fot(multiply(X_154,inverse(multiply(X_154,inverse(X_61)))))),bind(Z0,$fot(multiply(X_154,multiply(X_61,inverse(X_154)))))]]) ).
cnf(refute_0_1018,plain,
( multiply(X_154,inverse(multiply(X_154,inverse(X_61)))) != multiply(X_154,multiply(X_61,inverse(X_154)))
| inverse(multiply(X_154,multiply(inverse(X_61),inverse(X_154)))) = multiply(X_154,multiply(X_61,inverse(X_154))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_154,multiply(inverse(X_61),inverse(X_154)))),multiply(X_154,inverse(multiply(X_154,inverse(X_61))))) )],[refute_0_1016,refute_0_1017]) ).
cnf(refute_0_1019,plain,
inverse(multiply(X_154,multiply(inverse(X_61),inverse(X_154)))) = multiply(X_154,multiply(X_61,inverse(X_154))),
inference(resolve,[$cnf( $equal(multiply(X_154,inverse(multiply(X_154,inverse(X_61)))),multiply(X_154,multiply(X_61,inverse(X_154)))) )],[refute_0_1015,refute_0_1018]) ).
cnf(refute_0_1020,plain,
( multiply(commutator(X_154,X_61),X_61) != inverse(multiply(X_154,multiply(inverse(X_61),inverse(X_154))))
| inverse(multiply(X_154,multiply(inverse(X_61),inverse(X_154)))) != multiply(X_154,multiply(X_61,inverse(X_154)))
| multiply(commutator(X_154,X_61),X_61) = multiply(X_154,multiply(X_61,inverse(X_154))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(commutator(X_154,X_61),X_61),multiply(X_154,multiply(X_61,inverse(X_154)))) ),[0],$fot(inverse(multiply(X_154,multiply(inverse(X_61),inverse(X_154)))))]]) ).
cnf(refute_0_1021,plain,
( multiply(commutator(X_154,X_61),X_61) != inverse(multiply(X_154,multiply(inverse(X_61),inverse(X_154))))
| multiply(commutator(X_154,X_61),X_61) = multiply(X_154,multiply(X_61,inverse(X_154))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_154,multiply(inverse(X_61),inverse(X_154)))),multiply(X_154,multiply(X_61,inverse(X_154)))) )],[refute_0_1019,refute_0_1020]) ).
cnf(refute_0_1022,plain,
( multiply(inverse(commutator(X_154,inverse(X_61))),X_61) != inverse(multiply(X_154,multiply(inverse(X_61),inverse(X_154))))
| multiply(commutator(X_154,X_61),X_61) = multiply(X_154,multiply(X_61,inverse(X_154))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_154,X_61),X_61),inverse(multiply(X_154,multiply(inverse(X_61),inverse(X_154))))) )],[refute_0_1010,refute_0_1021]) ).
cnf(refute_0_1023,plain,
multiply(commutator(X_154,X_61),X_61) = multiply(X_154,multiply(X_61,inverse(X_154))),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X_154,inverse(X_61))),X_61),inverse(multiply(X_154,multiply(inverse(X_61),inverse(X_154))))) )],[refute_0_975,refute_0_1022]) ).
cnf(refute_0_1024,plain,
( multiply(commutator(X_154,X_61),X_61) != multiply(X_154,multiply(X_61,inverse(X_154)))
| multiply(X_154,multiply(X_61,inverse(X_154))) = multiply(commutator(X_154,X_61),X_61) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(commutator(X_154,X_61),X_61))),bind(Y0,$fot(multiply(X_154,multiply(X_61,inverse(X_154)))))]]) ).
cnf(refute_0_1025,plain,
multiply(X_154,multiply(X_61,inverse(X_154))) = multiply(commutator(X_154,X_61),X_61),
inference(resolve,[$cnf( $equal(multiply(commutator(X_154,X_61),X_61),multiply(X_154,multiply(X_61,inverse(X_154)))) )],[refute_0_1023,refute_0_1024]) ).
cnf(refute_0_1026,plain,
multiply(multiply(X_135,commutator(X_153,X_135)),multiply(X_153,inverse(multiply(X_135,commutator(X_153,X_135))))) = multiply(commutator(multiply(X_135,commutator(X_153,X_135)),X_153),X_153),
inference(subst,[],[refute_0_1025:[bind(X_154,$fot(multiply(X_135,commutator(X_153,X_135)))),bind(X_61,$fot(X_153))]]) ).
cnf(refute_0_1027,plain,
( multiply(multiply(X_135,commutator(X_153,X_135)),multiply(X_153,inverse(multiply(X_135,commutator(X_153,X_135))))) != multiply(commutator(multiply(X_135,commutator(X_153,X_135)),X_153),X_153)
| multiply(commutator(multiply(X_135,commutator(X_153,X_135)),X_153),X_153) != multiply(commutator(X_135,X_153),X_153)
| multiply(multiply(X_135,commutator(X_153,X_135)),multiply(X_153,inverse(multiply(X_135,commutator(X_153,X_135))))) = multiply(commutator(X_135,X_153),X_153) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_135,commutator(X_153,X_135)),multiply(X_153,inverse(multiply(X_135,commutator(X_153,X_135))))))),bind(Y0,$fot(multiply(commutator(multiply(X_135,commutator(X_153,X_135)),X_153),X_153))),bind(Z0,$fot(multiply(commutator(X_135,X_153),X_153)))]]) ).
cnf(refute_0_1028,plain,
( multiply(commutator(multiply(X_135,commutator(X_153,X_135)),X_153),X_153) != multiply(commutator(X_135,X_153),X_153)
| multiply(multiply(X_135,commutator(X_153,X_135)),multiply(X_153,inverse(multiply(X_135,commutator(X_153,X_135))))) = multiply(commutator(X_135,X_153),X_153) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_135,commutator(X_153,X_135)),multiply(X_153,inverse(multiply(X_135,commutator(X_153,X_135))))),multiply(commutator(multiply(X_135,commutator(X_153,X_135)),X_153),X_153)) )],[refute_0_1026,refute_0_1027]) ).
cnf(refute_0_1029,plain,
multiply(multiply(X_135,commutator(X_153,X_135)),multiply(X_153,inverse(multiply(X_135,commutator(X_153,X_135))))) = multiply(commutator(X_135,X_153),X_153),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_135,commutator(X_153,X_135)),X_153),X_153),multiply(commutator(X_135,X_153),X_153)) )],[refute_0_968,refute_0_1028]) ).
cnf(refute_0_1030,plain,
( multiply(multiply(X_135,commutator(X_153,X_135)),multiply(X_153,inverse(multiply(X_135,commutator(X_153,X_135))))) != multiply(X_153,commutator(X_135,X_153))
| multiply(multiply(X_135,commutator(X_153,X_135)),multiply(X_153,inverse(multiply(X_135,commutator(X_153,X_135))))) != multiply(commutator(X_135,X_153),X_153)
| multiply(commutator(X_135,X_153),X_153) = multiply(X_153,commutator(X_135,X_153)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_135,commutator(X_153,X_135)),multiply(X_153,inverse(multiply(X_135,commutator(X_153,X_135))))),multiply(X_153,commutator(X_135,X_153))) ),[0],$fot(multiply(commutator(X_135,X_153),X_153))]]) ).
cnf(refute_0_1031,plain,
( multiply(multiply(X_135,commutator(X_153,X_135)),multiply(X_153,inverse(multiply(X_135,commutator(X_153,X_135))))) != multiply(X_153,commutator(X_135,X_153))
| multiply(commutator(X_135,X_153),X_153) = multiply(X_153,commutator(X_135,X_153)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_135,commutator(X_153,X_135)),multiply(X_153,inverse(multiply(X_135,commutator(X_153,X_135))))),multiply(commutator(X_135,X_153),X_153)) )],[refute_0_1029,refute_0_1030]) ).
cnf(refute_0_1032,plain,
multiply(commutator(X_135,X_153),X_153) = multiply(X_153,commutator(X_135,X_153)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_135,commutator(X_153,X_135)),multiply(X_153,inverse(multiply(X_135,commutator(X_153,X_135))))),multiply(X_153,commutator(X_135,X_153))) )],[refute_0_964,refute_0_1031]) ).
cnf(refute_0_1033,plain,
multiply(commutator(X_27,Y),Y) = multiply(Y,commutator(X_27,Y)),
inference(subst,[],[refute_0_1032:[bind(X_135,$fot(X_27)),bind(X_153,$fot(Y))]]) ).
cnf(refute_0_1034,plain,
multiply(X_27,multiply(commutator(X_27,Y),Y)) = multiply(X_27,multiply(commutator(X_27,Y),Y)),
introduced(tautology,[refl,[$fot(multiply(X_27,multiply(commutator(X_27,Y),Y)))]]) ).
cnf(refute_0_1035,plain,
( multiply(X_27,multiply(commutator(X_27,Y),Y)) != multiply(X_27,multiply(commutator(X_27,Y),Y))
| multiply(commutator(X_27,Y),Y) != multiply(Y,commutator(X_27,Y))
| multiply(X_27,multiply(commutator(X_27,Y),Y)) = multiply(X_27,multiply(Y,commutator(X_27,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_27,multiply(commutator(X_27,Y),Y)),multiply(X_27,multiply(commutator(X_27,Y),Y))) ),[1,1],$fot(multiply(Y,commutator(X_27,Y)))]]) ).
cnf(refute_0_1036,plain,
( multiply(commutator(X_27,Y),Y) != multiply(Y,commutator(X_27,Y))
| multiply(X_27,multiply(commutator(X_27,Y),Y)) = multiply(X_27,multiply(Y,commutator(X_27,Y))) ),
inference(resolve,[$cnf( $equal(multiply(X_27,multiply(commutator(X_27,Y),Y)),multiply(X_27,multiply(commutator(X_27,Y),Y))) )],[refute_0_1034,refute_0_1035]) ).
cnf(refute_0_1037,plain,
multiply(X_27,multiply(commutator(X_27,Y),Y)) = multiply(X_27,multiply(Y,commutator(X_27,Y))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_27,Y),Y),multiply(Y,commutator(X_27,Y))) )],[refute_0_1033,refute_0_1036]) ).
cnf(refute_0_1038,plain,
inverse(multiply(X_27,multiply(commutator(X_27,Y),Y))) = inverse(multiply(X_27,multiply(commutator(X_27,Y),Y))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_27,multiply(commutator(X_27,Y),Y))))]]) ).
cnf(refute_0_1039,plain,
( multiply(X_27,multiply(commutator(X_27,Y),Y)) != multiply(X_27,multiply(Y,commutator(X_27,Y)))
| inverse(multiply(X_27,multiply(commutator(X_27,Y),Y))) != inverse(multiply(X_27,multiply(commutator(X_27,Y),Y)))
| inverse(multiply(X_27,multiply(commutator(X_27,Y),Y))) = inverse(multiply(X_27,multiply(Y,commutator(X_27,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_27,multiply(commutator(X_27,Y),Y))),inverse(multiply(X_27,multiply(commutator(X_27,Y),Y)))) ),[1,0],$fot(multiply(X_27,multiply(Y,commutator(X_27,Y))))]]) ).
cnf(refute_0_1040,plain,
( multiply(X_27,multiply(commutator(X_27,Y),Y)) != multiply(X_27,multiply(Y,commutator(X_27,Y)))
| inverse(multiply(X_27,multiply(commutator(X_27,Y),Y))) = inverse(multiply(X_27,multiply(Y,commutator(X_27,Y)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_27,multiply(commutator(X_27,Y),Y))),inverse(multiply(X_27,multiply(commutator(X_27,Y),Y)))) )],[refute_0_1038,refute_0_1039]) ).
cnf(refute_0_1041,plain,
inverse(multiply(X_27,multiply(commutator(X_27,Y),Y))) = inverse(multiply(X_27,multiply(Y,commutator(X_27,Y)))),
inference(resolve,[$cnf( $equal(multiply(X_27,multiply(commutator(X_27,Y),Y)),multiply(X_27,multiply(Y,commutator(X_27,Y)))) )],[refute_0_1037,refute_0_1040]) ).
cnf(refute_0_1042,plain,
( inverse(multiply(X_27,multiply(commutator(X_27,Y),Y))) != multiply(inverse(multiply(X_27,multiply(Y,Y))),Y)
| inverse(multiply(X_27,multiply(commutator(X_27,Y),Y))) != inverse(multiply(X_27,multiply(Y,commutator(X_27,Y))))
| inverse(multiply(X_27,multiply(Y,commutator(X_27,Y)))) = multiply(inverse(multiply(X_27,multiply(Y,Y))),Y) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_27,multiply(commutator(X_27,Y),Y))),multiply(inverse(multiply(X_27,multiply(Y,Y))),Y)) ),[0],$fot(inverse(multiply(X_27,multiply(Y,commutator(X_27,Y)))))]]) ).
cnf(refute_0_1043,plain,
( inverse(multiply(X_27,multiply(commutator(X_27,Y),Y))) != multiply(inverse(multiply(X_27,multiply(Y,Y))),Y)
| inverse(multiply(X_27,multiply(Y,commutator(X_27,Y)))) = multiply(inverse(multiply(X_27,multiply(Y,Y))),Y) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_27,multiply(commutator(X_27,Y),Y))),inverse(multiply(X_27,multiply(Y,commutator(X_27,Y))))) )],[refute_0_1041,refute_0_1042]) ).
cnf(refute_0_1044,plain,
inverse(multiply(X_27,multiply(Y,commutator(X_27,Y)))) = multiply(inverse(multiply(X_27,multiply(Y,Y))),Y),
inference(resolve,[$cnf( $equal(inverse(multiply(X_27,multiply(commutator(X_27,Y),Y))),multiply(inverse(multiply(X_27,multiply(Y,Y))),Y)) )],[refute_0_889,refute_0_1043]) ).
cnf(refute_0_1045,plain,
inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))))) = multiply(inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))),commutator(X_471,X_470)),
inference(subst,[],[refute_0_1044:[bind(Y,$fot(commutator(X_471,X_470)))]]) ).
cnf(refute_0_1046,plain,
( inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))))) != multiply(inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))),commutator(X_471,X_470))
| multiply(inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))),commutator(X_471,X_470)) = inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))))))),bind(Y0,$fot(multiply(inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))),commutator(X_471,X_470))))]]) ).
cnf(refute_0_1047,plain,
multiply(inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))),commutator(X_471,X_470)) = inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))))),multiply(inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))),commutator(X_471,X_470))) )],[refute_0_1045,refute_0_1046]) ).
cnf(refute_0_1048,plain,
( multiply(inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))),commutator(X_471,X_470)) != inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))
| commutator(X_471,commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))) != multiply(inverse(multiply(X_470,multiply(X_471,multiply(inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))),commutator(X_471,X_470))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))))
| commutator(X_471,commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))) = multiply(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_471,commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))),multiply(inverse(multiply(X_470,multiply(X_471,multiply(inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))),commutator(X_471,X_470))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))))) ),[1,0,0,1,1],$fot(inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))))))]]) ).
cnf(refute_0_1049,plain,
( commutator(X_471,commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))) != multiply(inverse(multiply(X_470,multiply(X_471,multiply(inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))),commutator(X_471,X_470))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))))
| commutator(X_471,commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))) = multiply(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))),commutator(X_471,X_470)),inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))) )],[refute_0_1047,refute_0_1048]) ).
cnf(refute_0_1050,plain,
commutator(X_471,commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))) = multiply(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))),
inference(resolve,[$cnf( $equal(commutator(X_471,commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))),multiply(inverse(multiply(X_470,multiply(X_471,multiply(inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))),commutator(X_471,X_470))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))))) )],[refute_0_767,refute_0_1049]) ).
cnf(refute_0_1051,plain,
commutator(X_471,commutator(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181))) = multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_471,multiply(multiply(X_180,X_181),commutator(X_471,multiply(X_181,commutator(X_180,X_181))))))),multiply(X_471,multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181)))),
inference(subst,[],[refute_0_766:[bind(X,$fot(multiply(X_181,commutator(X_180,X_181)))),bind(Y,$fot(X_471)),bind(X_160,$fot(multiply(X_180,X_181)))]]) ).
cnf(refute_0_1052,plain,
commutator(inverse(multiply(X_180,X_181)),multiply(X_181,commutator(X_180,X_181))) = multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181)))),multiply(inverse(multiply(X_180,X_181)),multiply(X_181,commutator(X_180,X_181)))),
inference(subst,[],[refute_0_718:[bind(X,$fot(multiply(X_181,commutator(X_180,X_181)))),bind(Y,$fot(inverse(multiply(X_180,X_181))))]]) ).
cnf(refute_0_1053,plain,
inverse(multiply(X_128,commutator(X_128,commutator(X_128,X_133)))) = multiply(inverse(multiply(X_128,commutator(X_128,X_133))),commutator(X_128,X_133)),
inference(subst,[],[refute_0_814:[bind(X_127,$fot(commutator(X_128,X_133)))]]) ).
cnf(refute_0_1054,plain,
inverse(multiply(X_128,commutator(X_128,X_133))) = multiply(inverse(multiply(X_128,X_133)),X_133),
inference(subst,[],[refute_0_814:[bind(X_127,$fot(X_133))]]) ).
cnf(refute_0_1055,plain,
( inverse(multiply(X_128,commutator(X_128,X_133))) != multiply(inverse(multiply(X_128,X_133)),X_133)
| inverse(multiply(X_128,commutator(X_128,commutator(X_128,X_133)))) != multiply(inverse(multiply(X_128,commutator(X_128,X_133))),commutator(X_128,X_133))
| inverse(multiply(X_128,commutator(X_128,commutator(X_128,X_133)))) = multiply(multiply(inverse(multiply(X_128,X_133)),X_133),commutator(X_128,X_133)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_128,commutator(X_128,commutator(X_128,X_133)))),multiply(inverse(multiply(X_128,commutator(X_128,X_133))),commutator(X_128,X_133))) ),[1,0],$fot(multiply(inverse(multiply(X_128,X_133)),X_133))]]) ).
cnf(refute_0_1056,plain,
( inverse(multiply(X_128,commutator(X_128,commutator(X_128,X_133)))) != multiply(inverse(multiply(X_128,commutator(X_128,X_133))),commutator(X_128,X_133))
| inverse(multiply(X_128,commutator(X_128,commutator(X_128,X_133)))) = multiply(multiply(inverse(multiply(X_128,X_133)),X_133),commutator(X_128,X_133)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_128,commutator(X_128,X_133))),multiply(inverse(multiply(X_128,X_133)),X_133)) )],[refute_0_1054,refute_0_1055]) ).
cnf(refute_0_1057,plain,
inverse(multiply(X_128,commutator(X_128,commutator(X_128,X_133)))) = multiply(multiply(inverse(multiply(X_128,X_133)),X_133),commutator(X_128,X_133)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_128,commutator(X_128,commutator(X_128,X_133)))),multiply(inverse(multiply(X_128,commutator(X_128,X_133))),commutator(X_128,X_133))) )],[refute_0_1053,refute_0_1056]) ).
cnf(refute_0_1058,plain,
multiply(X_128,identity) = X_128,
inference(subst,[],[refute_0_100:[bind(X_16,$fot(X_128))]]) ).
cnf(refute_0_1059,plain,
commutator(commutator(Y,Y),Z) = commutator(Y,commutator(Y,Z)),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(Y))]]) ).
cnf(refute_0_1060,plain,
commutator(X,X) = multiply(inverse(X),multiply(inverse(X),multiply(X,X))),
inference(subst,[],[name:[bind(Y,$fot(X))]]) ).
cnf(refute_0_1061,plain,
X = multiply(inverse(X),multiply(X,X)),
inference(subst,[],[refute_0_8:[bind(X_10,$fot(X)),bind(X_11,$fot(X))]]) ).
cnf(refute_0_1062,plain,
( X != multiply(inverse(X),multiply(X,X))
| multiply(inverse(X),multiply(X,X)) = X ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(X)),bind(Y0,$fot(multiply(inverse(X),multiply(X,X))))]]) ).
cnf(refute_0_1063,plain,
multiply(inverse(X),multiply(X,X)) = X,
inference(resolve,[$cnf( $equal(X,multiply(inverse(X),multiply(X,X))) )],[refute_0_1061,refute_0_1062]) ).
cnf(refute_0_1064,plain,
( multiply(inverse(X),multiply(X,X)) != X
| commutator(X,X) != multiply(inverse(X),multiply(inverse(X),multiply(X,X)))
| commutator(X,X) = multiply(inverse(X),X) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X,X),multiply(inverse(X),multiply(inverse(X),multiply(X,X)))) ),[1,1],$fot(X)]]) ).
cnf(refute_0_1065,plain,
( commutator(X,X) != multiply(inverse(X),multiply(inverse(X),multiply(X,X)))
| commutator(X,X) = multiply(inverse(X),X) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X),multiply(X,X)),X) )],[refute_0_1063,refute_0_1064]) ).
cnf(refute_0_1066,plain,
commutator(X,X) = multiply(inverse(X),X),
inference(resolve,[$cnf( $equal(commutator(X,X),multiply(inverse(X),multiply(inverse(X),multiply(X,X)))) )],[refute_0_1060,refute_0_1065]) ).
cnf(refute_0_1067,plain,
( multiply(inverse(X),X) != identity
| commutator(X,X) != multiply(inverse(X),X)
| commutator(X,X) = identity ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X,X),multiply(inverse(X),X)) ),[1],$fot(identity)]]) ).
cnf(refute_0_1068,plain,
( commutator(X,X) != multiply(inverse(X),X)
| commutator(X,X) = identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(X),X),identity) )],[left_inverse,refute_0_1067]) ).
cnf(refute_0_1069,plain,
commutator(X,X) = identity,
inference(resolve,[$cnf( $equal(commutator(X,X),multiply(inverse(X),X)) )],[refute_0_1066,refute_0_1068]) ).
cnf(refute_0_1070,plain,
commutator(Y,Y) = identity,
inference(subst,[],[refute_0_1069:[bind(X,$fot(Y))]]) ).
cnf(refute_0_1071,plain,
( commutator(Y,Y) != identity
| commutator(commutator(Y,Y),Z) != commutator(Y,commutator(Y,Z))
| commutator(identity,Z) = commutator(Y,commutator(Y,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(Y,Y),Z),commutator(Y,commutator(Y,Z))) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_1072,plain,
( commutator(commutator(Y,Y),Z) != commutator(Y,commutator(Y,Z))
| commutator(identity,Z) = commutator(Y,commutator(Y,Z)) ),
inference(resolve,[$cnf( $equal(commutator(Y,Y),identity) )],[refute_0_1070,refute_0_1071]) ).
cnf(refute_0_1073,plain,
commutator(identity,Z) = commutator(Y,commutator(Y,Z)),
inference(resolve,[$cnf( $equal(commutator(commutator(Y,Y),Z),commutator(Y,commutator(Y,Z))) )],[refute_0_1059,refute_0_1072]) ).
cnf(refute_0_1074,plain,
( commutator(identity,Z) != commutator(Y,commutator(Y,Z))
| commutator(identity,Z) != identity
| identity = commutator(Y,commutator(Y,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(identity,Z),commutator(Y,commutator(Y,Z))) ),[0],$fot(identity)]]) ).
cnf(refute_0_1075,plain,
( commutator(identity,Z) != commutator(Y,commutator(Y,Z))
| identity = commutator(Y,commutator(Y,Z)) ),
inference(resolve,[$cnf( $equal(commutator(identity,Z),identity) )],[refute_0_71,refute_0_1074]) ).
cnf(refute_0_1076,plain,
identity = commutator(Y,commutator(Y,Z)),
inference(resolve,[$cnf( $equal(commutator(identity,Z),commutator(Y,commutator(Y,Z))) )],[refute_0_1073,refute_0_1075]) ).
cnf(refute_0_1077,plain,
( identity != commutator(Y,commutator(Y,Z))
| commutator(Y,commutator(Y,Z)) = identity ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(identity)),bind(Y0,$fot(commutator(Y,commutator(Y,Z))))]]) ).
cnf(refute_0_1078,plain,
commutator(Y,commutator(Y,Z)) = identity,
inference(resolve,[$cnf( $equal(identity,commutator(Y,commutator(Y,Z))) )],[refute_0_1076,refute_0_1077]) ).
cnf(refute_0_1079,plain,
commutator(X_128,commutator(X_128,X_133)) = identity,
inference(subst,[],[refute_0_1078:[bind(Y,$fot(X_128)),bind(Z,$fot(X_133))]]) ).
cnf(refute_0_1080,plain,
multiply(X_128,commutator(X_128,commutator(X_128,X_133))) = multiply(X_128,commutator(X_128,commutator(X_128,X_133))),
introduced(tautology,[refl,[$fot(multiply(X_128,commutator(X_128,commutator(X_128,X_133))))]]) ).
cnf(refute_0_1081,plain,
( multiply(X_128,commutator(X_128,commutator(X_128,X_133))) != multiply(X_128,commutator(X_128,commutator(X_128,X_133)))
| commutator(X_128,commutator(X_128,X_133)) != identity
| multiply(X_128,commutator(X_128,commutator(X_128,X_133))) = multiply(X_128,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_128,commutator(X_128,commutator(X_128,X_133))),multiply(X_128,commutator(X_128,commutator(X_128,X_133)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_1082,plain,
( commutator(X_128,commutator(X_128,X_133)) != identity
| multiply(X_128,commutator(X_128,commutator(X_128,X_133))) = multiply(X_128,identity) ),
inference(resolve,[$cnf( $equal(multiply(X_128,commutator(X_128,commutator(X_128,X_133))),multiply(X_128,commutator(X_128,commutator(X_128,X_133)))) )],[refute_0_1080,refute_0_1081]) ).
cnf(refute_0_1083,plain,
multiply(X_128,commutator(X_128,commutator(X_128,X_133))) = multiply(X_128,identity),
inference(resolve,[$cnf( $equal(commutator(X_128,commutator(X_128,X_133)),identity) )],[refute_0_1079,refute_0_1082]) ).
cnf(refute_0_1084,plain,
( multiply(X_128,commutator(X_128,commutator(X_128,X_133))) != multiply(X_128,identity)
| multiply(X_128,identity) != X_128
| multiply(X_128,commutator(X_128,commutator(X_128,X_133))) = X_128 ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_128,commutator(X_128,commutator(X_128,X_133))))),bind(Y0,$fot(multiply(X_128,identity))),bind(Z0,$fot(X_128))]]) ).
cnf(refute_0_1085,plain,
( multiply(X_128,identity) != X_128
| multiply(X_128,commutator(X_128,commutator(X_128,X_133))) = X_128 ),
inference(resolve,[$cnf( $equal(multiply(X_128,commutator(X_128,commutator(X_128,X_133))),multiply(X_128,identity)) )],[refute_0_1083,refute_0_1084]) ).
cnf(refute_0_1086,plain,
multiply(X_128,commutator(X_128,commutator(X_128,X_133))) = X_128,
inference(resolve,[$cnf( $equal(multiply(X_128,identity),X_128) )],[refute_0_1058,refute_0_1085]) ).
cnf(refute_0_1087,plain,
inverse(multiply(X_128,commutator(X_128,commutator(X_128,X_133)))) = inverse(multiply(X_128,commutator(X_128,commutator(X_128,X_133)))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_128,commutator(X_128,commutator(X_128,X_133)))))]]) ).
cnf(refute_0_1088,plain,
( multiply(X_128,commutator(X_128,commutator(X_128,X_133))) != X_128
| inverse(multiply(X_128,commutator(X_128,commutator(X_128,X_133)))) != inverse(multiply(X_128,commutator(X_128,commutator(X_128,X_133))))
| inverse(multiply(X_128,commutator(X_128,commutator(X_128,X_133)))) = inverse(X_128) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_128,commutator(X_128,commutator(X_128,X_133)))),inverse(multiply(X_128,commutator(X_128,commutator(X_128,X_133))))) ),[1,0],$fot(X_128)]]) ).
cnf(refute_0_1089,plain,
( multiply(X_128,commutator(X_128,commutator(X_128,X_133))) != X_128
| inverse(multiply(X_128,commutator(X_128,commutator(X_128,X_133)))) = inverse(X_128) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_128,commutator(X_128,commutator(X_128,X_133)))),inverse(multiply(X_128,commutator(X_128,commutator(X_128,X_133))))) )],[refute_0_1087,refute_0_1088]) ).
cnf(refute_0_1090,plain,
inverse(multiply(X_128,commutator(X_128,commutator(X_128,X_133)))) = inverse(X_128),
inference(resolve,[$cnf( $equal(multiply(X_128,commutator(X_128,commutator(X_128,X_133))),X_128) )],[refute_0_1086,refute_0_1089]) ).
cnf(refute_0_1091,plain,
( inverse(multiply(X_128,commutator(X_128,commutator(X_128,X_133)))) != multiply(multiply(inverse(multiply(X_128,X_133)),X_133),commutator(X_128,X_133))
| inverse(multiply(X_128,commutator(X_128,commutator(X_128,X_133)))) != inverse(X_128)
| inverse(X_128) = multiply(multiply(inverse(multiply(X_128,X_133)),X_133),commutator(X_128,X_133)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_128,commutator(X_128,commutator(X_128,X_133)))),multiply(multiply(inverse(multiply(X_128,X_133)),X_133),commutator(X_128,X_133))) ),[0],$fot(inverse(X_128))]]) ).
cnf(refute_0_1092,plain,
( inverse(multiply(X_128,commutator(X_128,commutator(X_128,X_133)))) != multiply(multiply(inverse(multiply(X_128,X_133)),X_133),commutator(X_128,X_133))
| inverse(X_128) = multiply(multiply(inverse(multiply(X_128,X_133)),X_133),commutator(X_128,X_133)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_128,commutator(X_128,commutator(X_128,X_133)))),inverse(X_128)) )],[refute_0_1090,refute_0_1091]) ).
cnf(refute_0_1093,plain,
multiply(multiply(inverse(multiply(X_128,X_133)),X_133),commutator(X_128,X_133)) = multiply(inverse(multiply(X_128,X_133)),multiply(X_133,commutator(X_128,X_133))),
inference(subst,[],[associativity:[bind(X,$fot(inverse(multiply(X_128,X_133)))),bind(Y,$fot(X_133)),bind(Z,$fot(commutator(X_128,X_133)))]]) ).
cnf(refute_0_1094,plain,
( multiply(multiply(inverse(multiply(X_128,X_133)),X_133),commutator(X_128,X_133)) != multiply(inverse(multiply(X_128,X_133)),multiply(X_133,commutator(X_128,X_133)))
| inverse(X_128) != multiply(multiply(inverse(multiply(X_128,X_133)),X_133),commutator(X_128,X_133))
| inverse(X_128) = multiply(inverse(multiply(X_128,X_133)),multiply(X_133,commutator(X_128,X_133))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_128),multiply(multiply(inverse(multiply(X_128,X_133)),X_133),commutator(X_128,X_133))) ),[1],$fot(multiply(inverse(multiply(X_128,X_133)),multiply(X_133,commutator(X_128,X_133))))]]) ).
cnf(refute_0_1095,plain,
( inverse(X_128) != multiply(multiply(inverse(multiply(X_128,X_133)),X_133),commutator(X_128,X_133))
| inverse(X_128) = multiply(inverse(multiply(X_128,X_133)),multiply(X_133,commutator(X_128,X_133))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(X_128,X_133)),X_133),commutator(X_128,X_133)),multiply(inverse(multiply(X_128,X_133)),multiply(X_133,commutator(X_128,X_133)))) )],[refute_0_1093,refute_0_1094]) ).
cnf(refute_0_1096,plain,
( inverse(multiply(X_128,commutator(X_128,commutator(X_128,X_133)))) != multiply(multiply(inverse(multiply(X_128,X_133)),X_133),commutator(X_128,X_133))
| inverse(X_128) = multiply(inverse(multiply(X_128,X_133)),multiply(X_133,commutator(X_128,X_133))) ),
inference(resolve,[$cnf( $equal(inverse(X_128),multiply(multiply(inverse(multiply(X_128,X_133)),X_133),commutator(X_128,X_133))) )],[refute_0_1092,refute_0_1095]) ).
cnf(refute_0_1097,plain,
inverse(X_128) = multiply(inverse(multiply(X_128,X_133)),multiply(X_133,commutator(X_128,X_133))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_128,commutator(X_128,commutator(X_128,X_133)))),multiply(multiply(inverse(multiply(X_128,X_133)),X_133),commutator(X_128,X_133))) )],[refute_0_1057,refute_0_1096]) ).
cnf(refute_0_1098,plain,
inverse(X_180) = multiply(inverse(multiply(X_180,X_181)),multiply(X_181,commutator(X_180,X_181))),
inference(subst,[],[refute_0_1097:[bind(X_128,$fot(X_180)),bind(X_133,$fot(X_181))]]) ).
cnf(refute_0_1099,plain,
( inverse(X_180) != multiply(inverse(multiply(X_180,X_181)),multiply(X_181,commutator(X_180,X_181)))
| multiply(inverse(multiply(X_180,X_181)),multiply(X_181,commutator(X_180,X_181))) = inverse(X_180) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(inverse(X_180))),bind(Y0,$fot(multiply(inverse(multiply(X_180,X_181)),multiply(X_181,commutator(X_180,X_181)))))]]) ).
cnf(refute_0_1100,plain,
multiply(inverse(multiply(X_180,X_181)),multiply(X_181,commutator(X_180,X_181))) = inverse(X_180),
inference(resolve,[$cnf( $equal(inverse(X_180),multiply(inverse(multiply(X_180,X_181)),multiply(X_181,commutator(X_180,X_181)))) )],[refute_0_1098,refute_0_1099]) ).
cnf(refute_0_1101,plain,
( multiply(inverse(multiply(X_180,X_181)),multiply(X_181,commutator(X_180,X_181))) != inverse(X_180)
| commutator(inverse(multiply(X_180,X_181)),multiply(X_181,commutator(X_180,X_181))) != multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181)))),multiply(inverse(multiply(X_180,X_181)),multiply(X_181,commutator(X_180,X_181))))
| commutator(inverse(multiply(X_180,X_181)),multiply(X_181,commutator(X_180,X_181))) = multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181)))),inverse(X_180)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(multiply(X_180,X_181)),multiply(X_181,commutator(X_180,X_181))),multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181)))),multiply(inverse(multiply(X_180,X_181)),multiply(X_181,commutator(X_180,X_181))))) ),[1,1],$fot(inverse(X_180))]]) ).
cnf(refute_0_1102,plain,
( commutator(inverse(multiply(X_180,X_181)),multiply(X_181,commutator(X_180,X_181))) != multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181)))),multiply(inverse(multiply(X_180,X_181)),multiply(X_181,commutator(X_180,X_181))))
| commutator(inverse(multiply(X_180,X_181)),multiply(X_181,commutator(X_180,X_181))) = multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181)))),inverse(X_180)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_180,X_181)),multiply(X_181,commutator(X_180,X_181))),inverse(X_180)) )],[refute_0_1100,refute_0_1101]) ).
cnf(refute_0_1103,plain,
commutator(inverse(multiply(X_180,X_181)),multiply(X_181,commutator(X_180,X_181))) = multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181)))),inverse(X_180)),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_180,X_181)),multiply(X_181,commutator(X_180,X_181))),multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181)))),multiply(inverse(multiply(X_180,X_181)),multiply(X_181,commutator(X_180,X_181))))) )],[refute_0_1052,refute_0_1102]) ).
cnf(refute_0_1104,plain,
commutator(inverse(multiply(X_180,X_181)),multiply(X_181,commutator(X_180,X_181))) = commutator(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181)),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(multiply(X_180,X_181))),bind(X_110,$fot(multiply(X_181,commutator(X_180,X_181))))]]) ).
cnf(refute_0_1105,plain,
( commutator(inverse(multiply(X_180,X_181)),multiply(X_181,commutator(X_180,X_181))) != multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181)))),inverse(X_180))
| commutator(inverse(multiply(X_180,X_181)),multiply(X_181,commutator(X_180,X_181))) != commutator(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181))
| commutator(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181)) = multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181)))),inverse(X_180)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(multiply(X_180,X_181)),multiply(X_181,commutator(X_180,X_181))),multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181)))),inverse(X_180))) ),[0],$fot(commutator(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181)))]]) ).
cnf(refute_0_1106,plain,
( commutator(inverse(multiply(X_180,X_181)),multiply(X_181,commutator(X_180,X_181))) != multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181)))),inverse(X_180))
| commutator(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181)) = multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181)))),inverse(X_180)) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_180,X_181)),multiply(X_181,commutator(X_180,X_181))),commutator(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181))) )],[refute_0_1104,refute_0_1105]) ).
cnf(refute_0_1107,plain,
inverse(commutator(X_180,X_181)) = commutator(X_181,X_180),
inference(subst,[],[refute_0_386:[bind(X,$fot(X_181)),bind(Y,$fot(X_180))]]) ).
cnf(refute_0_1108,plain,
multiply(commutator(X_180,X_181),identity) = commutator(X_180,X_181),
inference(subst,[],[refute_0_100:[bind(X_16,$fot(commutator(X_180,X_181)))]]) ).
cnf(refute_0_1109,plain,
commutator(commutator(X_66,Z),X_66) = inverse(commutator(X_66,commutator(X_66,Z))),
inference(subst,[],[refute_0_323:[bind(X,$fot(commutator(X_66,Z))),bind(Y,$fot(X_66))]]) ).
cnf(refute_0_1110,plain,
identity = commutator(X_66,commutator(X_66,Z)),
inference(subst,[],[refute_0_1076:[bind(Y,$fot(X_66))]]) ).
cnf(refute_0_1111,plain,
( identity != commutator(X_66,commutator(X_66,Z))
| commutator(X_66,commutator(X_66,Z)) = identity ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(identity)),bind(Y0,$fot(commutator(X_66,commutator(X_66,Z))))]]) ).
cnf(refute_0_1112,plain,
commutator(X_66,commutator(X_66,Z)) = identity,
inference(resolve,[$cnf( $equal(identity,commutator(X_66,commutator(X_66,Z))) )],[refute_0_1110,refute_0_1111]) ).
cnf(refute_0_1113,plain,
( commutator(X_66,commutator(X_66,Z)) != identity
| commutator(commutator(X_66,Z),X_66) != inverse(commutator(X_66,commutator(X_66,Z)))
| commutator(commutator(X_66,Z),X_66) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(X_66,Z),X_66),inverse(commutator(X_66,commutator(X_66,Z)))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_1114,plain,
( commutator(commutator(X_66,Z),X_66) != inverse(commutator(X_66,commutator(X_66,Z)))
| commutator(commutator(X_66,Z),X_66) = inverse(identity) ),
inference(resolve,[$cnf( $equal(commutator(X_66,commutator(X_66,Z)),identity) )],[refute_0_1112,refute_0_1113]) ).
cnf(refute_0_1115,plain,
commutator(commutator(X_66,Z),X_66) = inverse(identity),
inference(resolve,[$cnf( $equal(commutator(commutator(X_66,Z),X_66),inverse(commutator(X_66,commutator(X_66,Z)))) )],[refute_0_1109,refute_0_1114]) ).
cnf(refute_0_1116,plain,
commutator(commutator(X_66,Z),X_66) = commutator(X_66,commutator(Z,X_66)),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(X_66)),bind(Y,$fot(Z)),bind(Z,$fot(X_66))]]) ).
cnf(refute_0_1117,plain,
( commutator(commutator(X_66,Z),X_66) != commutator(X_66,commutator(Z,X_66))
| commutator(commutator(X_66,Z),X_66) != inverse(identity)
| commutator(X_66,commutator(Z,X_66)) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(X_66,Z),X_66),inverse(identity)) ),[0],$fot(commutator(X_66,commutator(Z,X_66)))]]) ).
cnf(refute_0_1118,plain,
( commutator(commutator(X_66,Z),X_66) != inverse(identity)
| commutator(X_66,commutator(Z,X_66)) = inverse(identity) ),
inference(resolve,[$cnf( $equal(commutator(commutator(X_66,Z),X_66),commutator(X_66,commutator(Z,X_66))) )],[refute_0_1116,refute_0_1117]) ).
cnf(refute_0_1119,plain,
multiply(inverse(inverse(identity)),inverse(identity)) = identity,
inference(subst,[],[left_inverse:[bind(X,$fot(inverse(identity)))]]) ).
cnf(refute_0_1120,plain,
multiply(multiply(inverse(inverse(identity)),identity),X_11) = multiply(inverse(inverse(identity)),multiply(identity,X_11)),
inference(subst,[],[associativity:[bind(X,$fot(inverse(inverse(identity)))),bind(Y,$fot(identity)),bind(Z,$fot(X_11))]]) ).
cnf(refute_0_1121,plain,
commutator(inverse(identity),identity) = multiply(inverse(inverse(identity)),multiply(inverse(identity),identity)),
inference(subst,[],[refute_0_32:[bind(X_6,$fot(identity))]]) ).
cnf(refute_0_1122,plain,
( multiply(inverse(identity),identity) != identity
| commutator(inverse(identity),identity) != multiply(inverse(inverse(identity)),multiply(inverse(identity),identity))
| commutator(inverse(identity),identity) = multiply(inverse(inverse(identity)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(identity),identity),multiply(inverse(inverse(identity)),multiply(inverse(identity),identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_1123,plain,
( commutator(inverse(identity),identity) != multiply(inverse(inverse(identity)),multiply(inverse(identity),identity))
| commutator(inverse(identity),identity) = multiply(inverse(inverse(identity)),identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),identity),identity) )],[refute_0_60,refute_0_1122]) ).
cnf(refute_0_1124,plain,
commutator(inverse(identity),identity) = multiply(inverse(inverse(identity)),identity),
inference(resolve,[$cnf( $equal(commutator(inverse(identity),identity),multiply(inverse(inverse(identity)),multiply(inverse(identity),identity))) )],[refute_0_1121,refute_0_1123]) ).
cnf(refute_0_1125,plain,
( commutator(inverse(identity),identity) != multiply(inverse(inverse(identity)),identity)
| multiply(inverse(inverse(identity)),identity) = commutator(inverse(identity),identity) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(inverse(identity),identity))),bind(Y0,$fot(multiply(inverse(inverse(identity)),identity)))]]) ).
cnf(refute_0_1126,plain,
multiply(inverse(inverse(identity)),identity) = commutator(inverse(identity),identity),
inference(resolve,[$cnf( $equal(commutator(inverse(identity),identity),multiply(inverse(inverse(identity)),identity)) )],[refute_0_1124,refute_0_1125]) ).
cnf(refute_0_1127,plain,
( multiply(multiply(inverse(inverse(identity)),identity),X_11) != multiply(inverse(inverse(identity)),multiply(identity,X_11))
| multiply(inverse(inverse(identity)),identity) != commutator(inverse(identity),identity)
| multiply(commutator(inverse(identity),identity),X_11) = multiply(inverse(inverse(identity)),multiply(identity,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(inverse(identity)),identity),X_11),multiply(inverse(inverse(identity)),multiply(identity,X_11))) ),[0,0],$fot(commutator(inverse(identity),identity))]]) ).
cnf(refute_0_1128,plain,
( multiply(multiply(inverse(inverse(identity)),identity),X_11) != multiply(inverse(inverse(identity)),multiply(identity,X_11))
| multiply(commutator(inverse(identity),identity),X_11) = multiply(inverse(inverse(identity)),multiply(identity,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(identity)),identity),commutator(inverse(identity),identity)) )],[refute_0_1126,refute_0_1127]) ).
cnf(refute_0_1129,plain,
multiply(commutator(inverse(identity),identity),X_11) = multiply(inverse(inverse(identity)),multiply(identity,X_11)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(identity)),identity),X_11),multiply(inverse(inverse(identity)),multiply(identity,X_11))) )],[refute_0_1120,refute_0_1128]) ).
cnf(refute_0_1130,plain,
multiply(inverse(inverse(identity)),multiply(identity,X_11)) = multiply(inverse(inverse(identity)),multiply(identity,X_11)),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(identity)),multiply(identity,X_11)))]]) ).
cnf(refute_0_1131,plain,
( multiply(identity,X_11) != X_11
| multiply(inverse(inverse(identity)),multiply(identity,X_11)) != multiply(inverse(inverse(identity)),multiply(identity,X_11))
| multiply(inverse(inverse(identity)),multiply(identity,X_11)) = multiply(inverse(inverse(identity)),X_11) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(identity)),multiply(identity,X_11)),multiply(inverse(inverse(identity)),multiply(identity,X_11))) ),[1,1],$fot(X_11)]]) ).
cnf(refute_0_1132,plain,
( multiply(identity,X_11) != X_11
| multiply(inverse(inverse(identity)),multiply(identity,X_11)) = multiply(inverse(inverse(identity)),X_11) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(identity)),multiply(identity,X_11)),multiply(inverse(inverse(identity)),multiply(identity,X_11))) )],[refute_0_1130,refute_0_1131]) ).
cnf(refute_0_1133,plain,
multiply(inverse(inverse(identity)),multiply(identity,X_11)) = multiply(inverse(inverse(identity)),X_11),
inference(resolve,[$cnf( $equal(multiply(identity,X_11),X_11) )],[refute_0_5,refute_0_1132]) ).
cnf(refute_0_1134,plain,
( multiply(commutator(inverse(identity),identity),X_11) != multiply(inverse(inverse(identity)),multiply(identity,X_11))
| multiply(inverse(inverse(identity)),multiply(identity,X_11)) != multiply(inverse(inverse(identity)),X_11)
| multiply(commutator(inverse(identity),identity),X_11) = multiply(inverse(inverse(identity)),X_11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(commutator(inverse(identity),identity),X_11),multiply(inverse(inverse(identity)),X_11)) ),[0],$fot(multiply(inverse(inverse(identity)),multiply(identity,X_11)))]]) ).
cnf(refute_0_1135,plain,
( multiply(commutator(inverse(identity),identity),X_11) != multiply(inverse(inverse(identity)),multiply(identity,X_11))
| multiply(commutator(inverse(identity),identity),X_11) = multiply(inverse(inverse(identity)),X_11) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(identity)),multiply(identity,X_11)),multiply(inverse(inverse(identity)),X_11)) )],[refute_0_1133,refute_0_1134]) ).
cnf(refute_0_1136,plain,
multiply(commutator(inverse(identity),identity),X_11) = multiply(inverse(inverse(identity)),X_11),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(identity),identity),X_11),multiply(inverse(inverse(identity)),multiply(identity,X_11))) )],[refute_0_1129,refute_0_1135]) ).
cnf(refute_0_1137,plain,
( identity != commutator(inverse(X_6),X_6)
| commutator(inverse(X_6),X_6) = identity ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(identity)),bind(Y0,$fot(commutator(inverse(X_6),X_6)))]]) ).
cnf(refute_0_1138,plain,
commutator(inverse(X_6),X_6) = identity,
inference(resolve,[$cnf( $equal(identity,commutator(inverse(X_6),X_6)) )],[refute_0_48,refute_0_1137]) ).
cnf(refute_0_1139,plain,
commutator(inverse(identity),identity) = identity,
inference(subst,[],[refute_0_1138:[bind(X_6,$fot(identity))]]) ).
cnf(refute_0_1140,plain,
multiply(commutator(inverse(identity),identity),X_11) = multiply(commutator(inverse(identity),identity),X_11),
introduced(tautology,[refl,[$fot(multiply(commutator(inverse(identity),identity),X_11))]]) ).
cnf(refute_0_1141,plain,
( multiply(commutator(inverse(identity),identity),X_11) != multiply(commutator(inverse(identity),identity),X_11)
| commutator(inverse(identity),identity) != identity
| multiply(commutator(inverse(identity),identity),X_11) = multiply(identity,X_11) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(inverse(identity),identity),X_11),multiply(commutator(inverse(identity),identity),X_11)) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_1142,plain,
( commutator(inverse(identity),identity) != identity
| multiply(commutator(inverse(identity),identity),X_11) = multiply(identity,X_11) ),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(identity),identity),X_11),multiply(commutator(inverse(identity),identity),X_11)) )],[refute_0_1140,refute_0_1141]) ).
cnf(refute_0_1143,plain,
multiply(commutator(inverse(identity),identity),X_11) = multiply(identity,X_11),
inference(resolve,[$cnf( $equal(commutator(inverse(identity),identity),identity) )],[refute_0_1139,refute_0_1142]) ).
cnf(refute_0_1144,plain,
( multiply(commutator(inverse(identity),identity),X_11) != multiply(identity,X_11)
| multiply(identity,X_11) != X_11
| multiply(commutator(inverse(identity),identity),X_11) = X_11 ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(inverse(identity),identity),X_11))),bind(Y0,$fot(multiply(identity,X_11))),bind(Z0,$fot(X_11))]]) ).
cnf(refute_0_1145,plain,
( multiply(identity,X_11) != X_11
| multiply(commutator(inverse(identity),identity),X_11) = X_11 ),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(identity),identity),X_11),multiply(identity,X_11)) )],[refute_0_1143,refute_0_1144]) ).
cnf(refute_0_1146,plain,
multiply(commutator(inverse(identity),identity),X_11) = X_11,
inference(resolve,[$cnf( $equal(multiply(identity,X_11),X_11) )],[refute_0_5,refute_0_1145]) ).
cnf(refute_0_1147,plain,
( multiply(commutator(inverse(identity),identity),X_11) != X_11
| multiply(commutator(inverse(identity),identity),X_11) != multiply(inverse(inverse(identity)),X_11)
| X_11 = multiply(inverse(inverse(identity)),X_11) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(inverse(identity),identity),X_11),multiply(inverse(inverse(identity)),X_11)) ),[0],$fot(X_11)]]) ).
cnf(refute_0_1148,plain,
( multiply(commutator(inverse(identity),identity),X_11) != multiply(inverse(inverse(identity)),X_11)
| X_11 = multiply(inverse(inverse(identity)),X_11) ),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(identity),identity),X_11),X_11) )],[refute_0_1146,refute_0_1147]) ).
cnf(refute_0_1149,plain,
X_11 = multiply(inverse(inverse(identity)),X_11),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(identity),identity),X_11),multiply(inverse(inverse(identity)),X_11)) )],[refute_0_1136,refute_0_1148]) ).
cnf(refute_0_1150,plain,
inverse(identity) = multiply(inverse(inverse(identity)),inverse(identity)),
inference(subst,[],[refute_0_1149:[bind(X_11,$fot(inverse(identity)))]]) ).
cnf(refute_0_1151,plain,
( inverse(identity) != multiply(inverse(inverse(identity)),inverse(identity))
| multiply(inverse(inverse(identity)),inverse(identity)) = inverse(identity) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(inverse(identity))),bind(Y0,$fot(multiply(inverse(inverse(identity)),inverse(identity))))]]) ).
cnf(refute_0_1152,plain,
multiply(inverse(inverse(identity)),inverse(identity)) = inverse(identity),
inference(resolve,[$cnf( $equal(inverse(identity),multiply(inverse(inverse(identity)),inverse(identity))) )],[refute_0_1150,refute_0_1151]) ).
cnf(refute_0_1153,plain,
( multiply(inverse(inverse(identity)),inverse(identity)) != identity
| multiply(inverse(inverse(identity)),inverse(identity)) != inverse(identity)
| inverse(identity) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(identity)),inverse(identity)),identity) ),[0],$fot(inverse(identity))]]) ).
cnf(refute_0_1154,plain,
( multiply(inverse(inverse(identity)),inverse(identity)) != identity
| inverse(identity) = identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(identity)),inverse(identity)),inverse(identity)) )],[refute_0_1152,refute_0_1153]) ).
cnf(refute_0_1155,plain,
inverse(identity) = identity,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(identity)),inverse(identity)),identity) )],[refute_0_1119,refute_0_1154]) ).
cnf(refute_0_1156,plain,
( commutator(X_66,commutator(Z,X_66)) != inverse(identity)
| inverse(identity) != identity
| commutator(X_66,commutator(Z,X_66)) = identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(X_66,commutator(Z,X_66)),identity) ),[0],$fot(inverse(identity))]]) ).
cnf(refute_0_1157,plain,
( commutator(X_66,commutator(Z,X_66)) != inverse(identity)
| commutator(X_66,commutator(Z,X_66)) = identity ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_1155,refute_0_1156]) ).
cnf(refute_0_1158,plain,
( commutator(commutator(X_66,Z),X_66) != inverse(identity)
| commutator(X_66,commutator(Z,X_66)) = identity ),
inference(resolve,[$cnf( $equal(commutator(X_66,commutator(Z,X_66)),inverse(identity)) )],[refute_0_1118,refute_0_1157]) ).
cnf(refute_0_1159,plain,
commutator(X_66,commutator(Z,X_66)) = identity,
inference(resolve,[$cnf( $equal(commutator(commutator(X_66,Z),X_66),inverse(identity)) )],[refute_0_1115,refute_0_1158]) ).
cnf(refute_0_1160,plain,
commutator(X_181,commutator(X_180,X_181)) = identity,
inference(subst,[],[refute_0_1159:[bind(Z,$fot(X_180)),bind(X_66,$fot(X_181))]]) ).
cnf(refute_0_1161,plain,
commutator(X_180,multiply(X_180,X_181)) = commutator(X_180,X_181),
inference(subst,[],[refute_0_455:[bind(X_10,$fot(X_180)),bind(X_11,$fot(X_181))]]) ).
cnf(refute_0_1162,plain,
commutator(X_181,commutator(X_180,multiply(X_180,X_181))) = commutator(X_181,commutator(X_180,multiply(X_180,X_181))),
introduced(tautology,[refl,[$fot(commutator(X_181,commutator(X_180,multiply(X_180,X_181))))]]) ).
cnf(refute_0_1163,plain,
( commutator(X_180,multiply(X_180,X_181)) != commutator(X_180,X_181)
| commutator(X_181,commutator(X_180,multiply(X_180,X_181))) != commutator(X_181,commutator(X_180,multiply(X_180,X_181)))
| commutator(X_181,commutator(X_180,multiply(X_180,X_181))) = commutator(X_181,commutator(X_180,X_181)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_181,commutator(X_180,multiply(X_180,X_181))),commutator(X_181,commutator(X_180,multiply(X_180,X_181)))) ),[1,1],$fot(commutator(X_180,X_181))]]) ).
cnf(refute_0_1164,plain,
( commutator(X_180,multiply(X_180,X_181)) != commutator(X_180,X_181)
| commutator(X_181,commutator(X_180,multiply(X_180,X_181))) = commutator(X_181,commutator(X_180,X_181)) ),
inference(resolve,[$cnf( $equal(commutator(X_181,commutator(X_180,multiply(X_180,X_181))),commutator(X_181,commutator(X_180,multiply(X_180,X_181)))) )],[refute_0_1162,refute_0_1163]) ).
cnf(refute_0_1165,plain,
commutator(X_181,commutator(X_180,multiply(X_180,X_181))) = commutator(X_181,commutator(X_180,X_181)),
inference(resolve,[$cnf( $equal(commutator(X_180,multiply(X_180,X_181)),commutator(X_180,X_181)) )],[refute_0_1161,refute_0_1164]) ).
cnf(refute_0_1166,plain,
( commutator(X_181,commutator(X_180,X_181)) != identity
| commutator(X_181,commutator(X_180,multiply(X_180,X_181))) != commutator(X_181,commutator(X_180,X_181))
| commutator(X_181,commutator(X_180,multiply(X_180,X_181))) = identity ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(X_181,commutator(X_180,multiply(X_180,X_181))))),bind(Y0,$fot(commutator(X_181,commutator(X_180,X_181)))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_1167,plain,
( commutator(X_181,commutator(X_180,X_181)) != identity
| commutator(X_181,commutator(X_180,multiply(X_180,X_181))) = identity ),
inference(resolve,[$cnf( $equal(commutator(X_181,commutator(X_180,multiply(X_180,X_181))),commutator(X_181,commutator(X_180,X_181))) )],[refute_0_1165,refute_0_1166]) ).
cnf(refute_0_1168,plain,
commutator(X_181,commutator(X_180,multiply(X_180,X_181))) = identity,
inference(resolve,[$cnf( $equal(commutator(X_181,commutator(X_180,X_181)),identity) )],[refute_0_1160,refute_0_1167]) ).
cnf(refute_0_1169,plain,
commutator(multiply(X_162,inverse(multiply(X_162,X_10))),X_160) = multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_162,X_10))))),multiply(X_162,multiply(inverse(multiply(X_162,X_10)),X_160))),
inference(subst,[],[refute_0_713:[bind(Y,$fot(X_160)),bind(X_10,$fot(inverse(multiply(X_162,X_10)))),bind(X_9,$fot(X_162))]]) ).
cnf(refute_0_1170,plain,
multiply(X_162,inverse(multiply(X_162,X_10))) = inverse(multiply(X_10,commutator(X_162,X_10))),
inference(subst,[],[refute_0_598:[bind(X_58,$fot(X_162))]]) ).
cnf(refute_0_1171,plain,
( multiply(X_162,inverse(multiply(X_162,X_10))) != inverse(multiply(X_10,commutator(X_162,X_10)))
| commutator(multiply(X_162,inverse(multiply(X_162,X_10))),X_160) != multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_162,X_10))))),multiply(X_162,multiply(inverse(multiply(X_162,X_10)),X_160)))
| commutator(inverse(multiply(X_10,commutator(X_162,X_10))),X_160) = multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_162,X_10))))),multiply(X_162,multiply(inverse(multiply(X_162,X_10)),X_160))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_162,inverse(multiply(X_162,X_10))),X_160),multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_162,X_10))))),multiply(X_162,multiply(inverse(multiply(X_162,X_10)),X_160)))) ),[0,0],$fot(inverse(multiply(X_10,commutator(X_162,X_10))))]]) ).
cnf(refute_0_1172,plain,
( commutator(multiply(X_162,inverse(multiply(X_162,X_10))),X_160) != multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_162,X_10))))),multiply(X_162,multiply(inverse(multiply(X_162,X_10)),X_160)))
| commutator(inverse(multiply(X_10,commutator(X_162,X_10))),X_160) = multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_162,X_10))))),multiply(X_162,multiply(inverse(multiply(X_162,X_10)),X_160))) ),
inference(resolve,[$cnf( $equal(multiply(X_162,inverse(multiply(X_162,X_10))),inverse(multiply(X_10,commutator(X_162,X_10)))) )],[refute_0_1170,refute_0_1171]) ).
cnf(refute_0_1173,plain,
commutator(inverse(multiply(X_10,commutator(X_162,X_10))),X_160) = multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_162,X_10))))),multiply(X_162,multiply(inverse(multiply(X_162,X_10)),X_160))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_162,inverse(multiply(X_162,X_10))),X_160),multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_162,X_10))))),multiply(X_162,multiply(inverse(multiply(X_162,X_10)),X_160)))) )],[refute_0_1169,refute_0_1172]) ).
cnf(refute_0_1174,plain,
commutator(inverse(multiply(X_10,commutator(X_162,X_10))),X_160) = commutator(X_160,multiply(X_10,commutator(X_162,X_10))),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(multiply(X_10,commutator(X_162,X_10)))),bind(X_110,$fot(X_160))]]) ).
cnf(refute_0_1175,plain,
( commutator(inverse(multiply(X_10,commutator(X_162,X_10))),X_160) != multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_162,X_10))))),multiply(X_162,multiply(inverse(multiply(X_162,X_10)),X_160)))
| commutator(inverse(multiply(X_10,commutator(X_162,X_10))),X_160) != commutator(X_160,multiply(X_10,commutator(X_162,X_10)))
| commutator(X_160,multiply(X_10,commutator(X_162,X_10))) = multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_162,X_10))))),multiply(X_162,multiply(inverse(multiply(X_162,X_10)),X_160))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(multiply(X_10,commutator(X_162,X_10))),X_160),multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_162,X_10))))),multiply(X_162,multiply(inverse(multiply(X_162,X_10)),X_160)))) ),[0],$fot(commutator(X_160,multiply(X_10,commutator(X_162,X_10))))]]) ).
cnf(refute_0_1176,plain,
( commutator(inverse(multiply(X_10,commutator(X_162,X_10))),X_160) != multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_162,X_10))))),multiply(X_162,multiply(inverse(multiply(X_162,X_10)),X_160)))
| commutator(X_160,multiply(X_10,commutator(X_162,X_10))) = multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_162,X_10))))),multiply(X_162,multiply(inverse(multiply(X_162,X_10)),X_160))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_10,commutator(X_162,X_10))),X_160),commutator(X_160,multiply(X_10,commutator(X_162,X_10)))) )],[refute_0_1174,refute_0_1175]) ).
cnf(refute_0_1177,plain,
( commutator(multiply(X_9,X_10),Y) != multiply(inverse(multiply(Y,multiply(X_9,X_10))),multiply(X_9,multiply(X_10,Y)))
| multiply(inverse(multiply(Y,multiply(X_9,X_10))),multiply(X_9,multiply(X_10,Y))) = commutator(multiply(X_9,X_10),Y) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(multiply(X_9,X_10),Y))),bind(Y0,$fot(multiply(inverse(multiply(Y,multiply(X_9,X_10))),multiply(X_9,multiply(X_10,Y)))))]]) ).
cnf(refute_0_1178,plain,
multiply(inverse(multiply(Y,multiply(X_9,X_10))),multiply(X_9,multiply(X_10,Y))) = commutator(multiply(X_9,X_10),Y),
inference(resolve,[$cnf( $equal(commutator(multiply(X_9,X_10),Y),multiply(inverse(multiply(Y,multiply(X_9,X_10))),multiply(X_9,multiply(X_10,Y)))) )],[refute_0_713,refute_0_1177]) ).
cnf(refute_0_1179,plain,
multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_162,X_10))))),multiply(X_162,multiply(inverse(multiply(X_162,X_10)),X_160))) = commutator(multiply(X_162,inverse(multiply(X_162,X_10))),X_160),
inference(subst,[],[refute_0_1178:[bind(Y,$fot(X_160)),bind(X_10,$fot(inverse(multiply(X_162,X_10)))),bind(X_9,$fot(X_162))]]) ).
cnf(refute_0_1180,plain,
( multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_162,X_10))))),multiply(X_162,multiply(inverse(multiply(X_162,X_10)),X_160))) != commutator(multiply(X_162,inverse(multiply(X_162,X_10))),X_160)
| commutator(X_160,multiply(X_10,commutator(X_162,X_10))) != multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_162,X_10))))),multiply(X_162,multiply(inverse(multiply(X_162,X_10)),X_160)))
| commutator(X_160,multiply(X_10,commutator(X_162,X_10))) = commutator(multiply(X_162,inverse(multiply(X_162,X_10))),X_160) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_160,multiply(X_10,commutator(X_162,X_10))),multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_162,X_10))))),multiply(X_162,multiply(inverse(multiply(X_162,X_10)),X_160)))) ),[1],$fot(commutator(multiply(X_162,inverse(multiply(X_162,X_10))),X_160))]]) ).
cnf(refute_0_1181,plain,
( commutator(X_160,multiply(X_10,commutator(X_162,X_10))) != multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_162,X_10))))),multiply(X_162,multiply(inverse(multiply(X_162,X_10)),X_160)))
| commutator(X_160,multiply(X_10,commutator(X_162,X_10))) = commutator(multiply(X_162,inverse(multiply(X_162,X_10))),X_160) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_162,X_10))))),multiply(X_162,multiply(inverse(multiply(X_162,X_10)),X_160))),commutator(multiply(X_162,inverse(multiply(X_162,X_10))),X_160)) )],[refute_0_1179,refute_0_1180]) ).
cnf(refute_0_1182,plain,
( commutator(inverse(multiply(X_10,commutator(X_162,X_10))),X_160) != multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_162,X_10))))),multiply(X_162,multiply(inverse(multiply(X_162,X_10)),X_160)))
| commutator(X_160,multiply(X_10,commutator(X_162,X_10))) = commutator(multiply(X_162,inverse(multiply(X_162,X_10))),X_160) ),
inference(resolve,[$cnf( $equal(commutator(X_160,multiply(X_10,commutator(X_162,X_10))),multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_162,X_10))))),multiply(X_162,multiply(inverse(multiply(X_162,X_10)),X_160)))) )],[refute_0_1176,refute_0_1181]) ).
cnf(refute_0_1183,plain,
commutator(X_160,multiply(X_10,commutator(X_162,X_10))) = commutator(multiply(X_162,inverse(multiply(X_162,X_10))),X_160),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_10,commutator(X_162,X_10))),X_160),multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_162,X_10))))),multiply(X_162,multiply(inverse(multiply(X_162,X_10)),X_160)))) )],[refute_0_1173,refute_0_1182]) ).
cnf(refute_0_1184,plain,
commutator(X_169,multiply(commutator(Z,X_170),commutator(X_170,commutator(Z,X_170)))) = commutator(multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))),X_169),
inference(subst,[],[refute_0_1183:[bind(X_10,$fot(commutator(Z,X_170))),bind(X_160,$fot(X_169)),bind(X_162,$fot(X_170))]]) ).
cnf(refute_0_1185,plain,
commutator(X_170,commutator(Z,X_170)) = identity,
inference(subst,[],[refute_0_1159:[bind(X_66,$fot(X_170))]]) ).
cnf(refute_0_1186,plain,
( commutator(X_169,multiply(commutator(Z,X_170),commutator(X_170,commutator(Z,X_170)))) != commutator(multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))),X_169)
| commutator(X_170,commutator(Z,X_170)) != identity
| commutator(X_169,multiply(commutator(Z,X_170),identity)) = commutator(multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))),X_169) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_169,multiply(commutator(Z,X_170),commutator(X_170,commutator(Z,X_170)))),commutator(multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))),X_169)) ),[0,1,1],$fot(identity)]]) ).
cnf(refute_0_1187,plain,
( commutator(X_169,multiply(commutator(Z,X_170),commutator(X_170,commutator(Z,X_170)))) != commutator(multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))),X_169)
| commutator(X_169,multiply(commutator(Z,X_170),identity)) = commutator(multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))),X_169) ),
inference(resolve,[$cnf( $equal(commutator(X_170,commutator(Z,X_170)),identity) )],[refute_0_1185,refute_0_1186]) ).
cnf(refute_0_1188,plain,
commutator(X_169,multiply(commutator(Z,X_170),identity)) = commutator(multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))),X_169),
inference(resolve,[$cnf( $equal(commutator(X_169,multiply(commutator(Z,X_170),commutator(X_170,commutator(Z,X_170)))),commutator(multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))),X_169)) )],[refute_0_1184,refute_0_1187]) ).
cnf(refute_0_1189,plain,
multiply(commutator(Z,X_170),identity) = commutator(Z,X_170),
inference(subst,[],[refute_0_100:[bind(X_16,$fot(commutator(Z,X_170)))]]) ).
cnf(refute_0_1190,plain,
commutator(X_169,multiply(commutator(Z,X_170),identity)) = commutator(X_169,multiply(commutator(Z,X_170),identity)),
introduced(tautology,[refl,[$fot(commutator(X_169,multiply(commutator(Z,X_170),identity)))]]) ).
cnf(refute_0_1191,plain,
( multiply(commutator(Z,X_170),identity) != commutator(Z,X_170)
| commutator(X_169,multiply(commutator(Z,X_170),identity)) != commutator(X_169,multiply(commutator(Z,X_170),identity))
| commutator(X_169,multiply(commutator(Z,X_170),identity)) = commutator(X_169,commutator(Z,X_170)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_169,multiply(commutator(Z,X_170),identity)),commutator(X_169,multiply(commutator(Z,X_170),identity))) ),[1,1],$fot(commutator(Z,X_170))]]) ).
cnf(refute_0_1192,plain,
( multiply(commutator(Z,X_170),identity) != commutator(Z,X_170)
| commutator(X_169,multiply(commutator(Z,X_170),identity)) = commutator(X_169,commutator(Z,X_170)) ),
inference(resolve,[$cnf( $equal(commutator(X_169,multiply(commutator(Z,X_170),identity)),commutator(X_169,multiply(commutator(Z,X_170),identity))) )],[refute_0_1190,refute_0_1191]) ).
cnf(refute_0_1193,plain,
commutator(X_169,multiply(commutator(Z,X_170),identity)) = commutator(X_169,commutator(Z,X_170)),
inference(resolve,[$cnf( $equal(multiply(commutator(Z,X_170),identity),commutator(Z,X_170)) )],[refute_0_1189,refute_0_1192]) ).
cnf(refute_0_1194,plain,
( commutator(X_169,multiply(commutator(Z,X_170),identity)) != commutator(X_169,commutator(Z,X_170))
| commutator(X_169,multiply(commutator(Z,X_170),identity)) != commutator(multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))),X_169)
| commutator(X_169,commutator(Z,X_170)) = commutator(multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))),X_169) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_169,multiply(commutator(Z,X_170),identity)),commutator(multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))),X_169)) ),[0],$fot(commutator(X_169,commutator(Z,X_170)))]]) ).
cnf(refute_0_1195,plain,
( commutator(X_169,multiply(commutator(Z,X_170),identity)) != commutator(multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))),X_169)
| commutator(X_169,commutator(Z,X_170)) = commutator(multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))),X_169) ),
inference(resolve,[$cnf( $equal(commutator(X_169,multiply(commutator(Z,X_170),identity)),commutator(X_169,commutator(Z,X_170))) )],[refute_0_1193,refute_0_1194]) ).
cnf(refute_0_1196,plain,
commutator(commutator(X_170,Z),X_169) = commutator(X_170,commutator(Z,X_169)),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(X_170)),bind(Y,$fot(Z)),bind(Z,$fot(X_169))]]) ).
cnf(refute_0_1197,plain,
multiply(X_58,inverse(multiply(X_58,commutator(X_136,X_58)))) = inverse(multiply(commutator(X_136,X_58),commutator(X_58,commutator(X_136,X_58)))),
inference(subst,[],[refute_0_598:[bind(X_10,$fot(commutator(X_136,X_58)))]]) ).
cnf(refute_0_1198,plain,
multiply(X_136,inverse(multiply(X_136,X_58))) = inverse(multiply(X_58,commutator(X_136,X_58))),
inference(subst,[],[refute_0_598:[bind(X_10,$fot(X_58)),bind(X_58,$fot(X_136))]]) ).
cnf(refute_0_1199,plain,
( multiply(X_136,inverse(multiply(X_136,X_58))) != inverse(multiply(X_58,commutator(X_136,X_58)))
| inverse(multiply(X_58,commutator(X_136,X_58))) = multiply(X_136,inverse(multiply(X_136,X_58))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(X_136,inverse(multiply(X_136,X_58))))),bind(Y0,$fot(inverse(multiply(X_58,commutator(X_136,X_58)))))]]) ).
cnf(refute_0_1200,plain,
inverse(multiply(X_58,commutator(X_136,X_58))) = multiply(X_136,inverse(multiply(X_136,X_58))),
inference(resolve,[$cnf( $equal(multiply(X_136,inverse(multiply(X_136,X_58))),inverse(multiply(X_58,commutator(X_136,X_58)))) )],[refute_0_1198,refute_0_1199]) ).
cnf(refute_0_1201,plain,
( multiply(X_58,inverse(multiply(X_58,commutator(X_136,X_58)))) != inverse(multiply(commutator(X_136,X_58),commutator(X_58,commutator(X_136,X_58))))
| inverse(multiply(X_58,commutator(X_136,X_58))) != multiply(X_136,inverse(multiply(X_136,X_58)))
| multiply(X_58,multiply(X_136,inverse(multiply(X_136,X_58)))) = inverse(multiply(commutator(X_136,X_58),commutator(X_58,commutator(X_136,X_58)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,commutator(X_136,X_58)))),inverse(multiply(commutator(X_136,X_58),commutator(X_58,commutator(X_136,X_58))))) ),[0,1],$fot(multiply(X_136,inverse(multiply(X_136,X_58))))]]) ).
cnf(refute_0_1202,plain,
( multiply(X_58,inverse(multiply(X_58,commutator(X_136,X_58)))) != inverse(multiply(commutator(X_136,X_58),commutator(X_58,commutator(X_136,X_58))))
| multiply(X_58,multiply(X_136,inverse(multiply(X_136,X_58)))) = inverse(multiply(commutator(X_136,X_58),commutator(X_58,commutator(X_136,X_58)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_58,commutator(X_136,X_58))),multiply(X_136,inverse(multiply(X_136,X_58)))) )],[refute_0_1200,refute_0_1201]) ).
cnf(refute_0_1203,plain,
multiply(X_58,multiply(X_136,inverse(multiply(X_136,X_58)))) = inverse(multiply(commutator(X_136,X_58),commutator(X_58,commutator(X_136,X_58)))),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,commutator(X_136,X_58)))),inverse(multiply(commutator(X_136,X_58),commutator(X_58,commutator(X_136,X_58))))) )],[refute_0_1197,refute_0_1202]) ).
cnf(refute_0_1204,plain,
commutator(inverse(X_41),inverse(X_27)) = multiply(X_41,multiply(inverse(inverse(X_27)),multiply(inverse(X_41),inverse(X_27)))),
inference(subst,[],[refute_0_414:[bind(Y,$fot(inverse(X_27))),bind(X_29,$fot(X_41))]]) ).
cnf(refute_0_1205,plain,
( commutator(inverse(X_41),inverse(X_27)) != multiply(X_41,multiply(inverse(inverse(X_27)),multiply(inverse(X_41),inverse(X_27))))
| inverse(inverse(X_27)) != X_27
| commutator(inverse(X_41),inverse(X_27)) = multiply(X_41,multiply(X_27,multiply(inverse(X_41),inverse(X_27)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(X_41),inverse(X_27)),multiply(X_41,multiply(inverse(inverse(X_27)),multiply(inverse(X_41),inverse(X_27))))) ),[1,1,0],$fot(X_27)]]) ).
cnf(refute_0_1206,plain,
( commutator(inverse(X_41),inverse(X_27)) != multiply(X_41,multiply(inverse(inverse(X_27)),multiply(inverse(X_41),inverse(X_27))))
| commutator(inverse(X_41),inverse(X_27)) = multiply(X_41,multiply(X_27,multiply(inverse(X_41),inverse(X_27)))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_27)),X_27) )],[refute_0_152,refute_0_1205]) ).
cnf(refute_0_1207,plain,
commutator(inverse(X_41),inverse(X_27)) = multiply(X_41,multiply(X_27,multiply(inverse(X_41),inverse(X_27)))),
inference(resolve,[$cnf( $equal(commutator(inverse(X_41),inverse(X_27)),multiply(X_41,multiply(inverse(inverse(X_27)),multiply(inverse(X_41),inverse(X_27))))) )],[refute_0_1204,refute_0_1206]) ).
cnf(refute_0_1208,plain,
multiply(inverse(X_41),inverse(X_27)) = inverse(multiply(X_27,X_41)),
inference(subst,[],[refute_0_257:[bind(X_10,$fot(X_41)),bind(X_58,$fot(X_27))]]) ).
cnf(refute_0_1209,plain,
multiply(X_27,multiply(inverse(X_41),inverse(X_27))) = multiply(X_27,multiply(inverse(X_41),inverse(X_27))),
introduced(tautology,[refl,[$fot(multiply(X_27,multiply(inverse(X_41),inverse(X_27))))]]) ).
cnf(refute_0_1210,plain,
( multiply(X_27,multiply(inverse(X_41),inverse(X_27))) != multiply(X_27,multiply(inverse(X_41),inverse(X_27)))
| multiply(inverse(X_41),inverse(X_27)) != inverse(multiply(X_27,X_41))
| multiply(X_27,multiply(inverse(X_41),inverse(X_27))) = multiply(X_27,inverse(multiply(X_27,X_41))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_27,multiply(inverse(X_41),inverse(X_27))),multiply(X_27,multiply(inverse(X_41),inverse(X_27)))) ),[1,1],$fot(inverse(multiply(X_27,X_41)))]]) ).
cnf(refute_0_1211,plain,
( multiply(inverse(X_41),inverse(X_27)) != inverse(multiply(X_27,X_41))
| multiply(X_27,multiply(inverse(X_41),inverse(X_27))) = multiply(X_27,inverse(multiply(X_27,X_41))) ),
inference(resolve,[$cnf( $equal(multiply(X_27,multiply(inverse(X_41),inverse(X_27))),multiply(X_27,multiply(inverse(X_41),inverse(X_27)))) )],[refute_0_1209,refute_0_1210]) ).
cnf(refute_0_1212,plain,
multiply(X_27,multiply(inverse(X_41),inverse(X_27))) = multiply(X_27,inverse(multiply(X_27,X_41))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_41),inverse(X_27)),inverse(multiply(X_27,X_41))) )],[refute_0_1208,refute_0_1211]) ).
cnf(refute_0_1213,plain,
multiply(X_41,multiply(X_27,multiply(inverse(X_41),inverse(X_27)))) = multiply(X_41,multiply(X_27,multiply(inverse(X_41),inverse(X_27)))),
introduced(tautology,[refl,[$fot(multiply(X_41,multiply(X_27,multiply(inverse(X_41),inverse(X_27)))))]]) ).
cnf(refute_0_1214,plain,
( multiply(X_27,multiply(inverse(X_41),inverse(X_27))) != multiply(X_27,inverse(multiply(X_27,X_41)))
| multiply(X_41,multiply(X_27,multiply(inverse(X_41),inverse(X_27)))) != multiply(X_41,multiply(X_27,multiply(inverse(X_41),inverse(X_27))))
| multiply(X_41,multiply(X_27,multiply(inverse(X_41),inverse(X_27)))) = multiply(X_41,multiply(X_27,inverse(multiply(X_27,X_41)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_41,multiply(X_27,multiply(inverse(X_41),inverse(X_27)))),multiply(X_41,multiply(X_27,multiply(inverse(X_41),inverse(X_27))))) ),[1,1],$fot(multiply(X_27,inverse(multiply(X_27,X_41))))]]) ).
cnf(refute_0_1215,plain,
( multiply(X_27,multiply(inverse(X_41),inverse(X_27))) != multiply(X_27,inverse(multiply(X_27,X_41)))
| multiply(X_41,multiply(X_27,multiply(inverse(X_41),inverse(X_27)))) = multiply(X_41,multiply(X_27,inverse(multiply(X_27,X_41)))) ),
inference(resolve,[$cnf( $equal(multiply(X_41,multiply(X_27,multiply(inverse(X_41),inverse(X_27)))),multiply(X_41,multiply(X_27,multiply(inverse(X_41),inverse(X_27))))) )],[refute_0_1213,refute_0_1214]) ).
cnf(refute_0_1216,plain,
multiply(X_41,multiply(X_27,multiply(inverse(X_41),inverse(X_27)))) = multiply(X_41,multiply(X_27,inverse(multiply(X_27,X_41)))),
inference(resolve,[$cnf( $equal(multiply(X_27,multiply(inverse(X_41),inverse(X_27))),multiply(X_27,inverse(multiply(X_27,X_41)))) )],[refute_0_1212,refute_0_1215]) ).
cnf(refute_0_1217,plain,
( multiply(X_41,multiply(X_27,multiply(inverse(X_41),inverse(X_27)))) != multiply(X_41,multiply(X_27,inverse(multiply(X_27,X_41))))
| commutator(inverse(X_41),inverse(X_27)) != multiply(X_41,multiply(X_27,multiply(inverse(X_41),inverse(X_27))))
| commutator(inverse(X_41),inverse(X_27)) = multiply(X_41,multiply(X_27,inverse(multiply(X_27,X_41)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(X_41),inverse(X_27)),multiply(X_41,multiply(X_27,multiply(inverse(X_41),inverse(X_27))))) ),[1],$fot(multiply(X_41,multiply(X_27,inverse(multiply(X_27,X_41)))))]]) ).
cnf(refute_0_1218,plain,
( commutator(inverse(X_41),inverse(X_27)) != multiply(X_41,multiply(X_27,multiply(inverse(X_41),inverse(X_27))))
| commutator(inverse(X_41),inverse(X_27)) = multiply(X_41,multiply(X_27,inverse(multiply(X_27,X_41)))) ),
inference(resolve,[$cnf( $equal(multiply(X_41,multiply(X_27,multiply(inverse(X_41),inverse(X_27)))),multiply(X_41,multiply(X_27,inverse(multiply(X_27,X_41))))) )],[refute_0_1216,refute_0_1217]) ).
cnf(refute_0_1219,plain,
commutator(inverse(X_41),inverse(X_27)) = multiply(X_41,multiply(X_27,inverse(multiply(X_27,X_41)))),
inference(resolve,[$cnf( $equal(commutator(inverse(X_41),inverse(X_27)),multiply(X_41,multiply(X_27,multiply(inverse(X_41),inverse(X_27))))) )],[refute_0_1207,refute_0_1218]) ).
cnf(refute_0_1220,plain,
multiply(X_89,inverse(multiply(X_29,multiply(X_89,inverse(X_29))))) = inverse(multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),multiply(inverse(X_89),multiply(X_29,multiply(X_89,inverse(X_29)))))),
inference(subst,[],[refute_0_335:[bind(X,$fot(X_89)),bind(X_51,$fot(multiply(X_29,multiply(X_89,inverse(X_29)))))]]) ).
cnf(refute_0_1221,plain,
commutator(X_89,inverse(X_29)) = multiply(inverse(X_89),multiply(X_29,multiply(X_89,inverse(X_29)))),
inference(subst,[],[refute_0_273:[bind(X,$fot(X_89))]]) ).
cnf(refute_0_1222,plain,
( commutator(X_89,inverse(X_29)) != multiply(inverse(X_89),multiply(X_29,multiply(X_89,inverse(X_29))))
| multiply(inverse(X_89),multiply(X_29,multiply(X_89,inverse(X_29)))) = commutator(X_89,inverse(X_29)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_89,inverse(X_29)))),bind(Y0,$fot(multiply(inverse(X_89),multiply(X_29,multiply(X_89,inverse(X_29))))))]]) ).
cnf(refute_0_1223,plain,
multiply(inverse(X_89),multiply(X_29,multiply(X_89,inverse(X_29)))) = commutator(X_89,inverse(X_29)),
inference(resolve,[$cnf( $equal(commutator(X_89,inverse(X_29)),multiply(inverse(X_89),multiply(X_29,multiply(X_89,inverse(X_29))))) )],[refute_0_1221,refute_0_1222]) ).
cnf(refute_0_1224,plain,
( multiply(X_89,inverse(multiply(X_29,multiply(X_89,inverse(X_29))))) != inverse(multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),multiply(inverse(X_89),multiply(X_29,multiply(X_89,inverse(X_29))))))
| multiply(inverse(X_89),multiply(X_29,multiply(X_89,inverse(X_29)))) != commutator(X_89,inverse(X_29))
| multiply(X_89,inverse(multiply(X_29,multiply(X_89,inverse(X_29))))) = inverse(multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_89,inverse(multiply(X_29,multiply(X_89,inverse(X_29))))),inverse(multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),multiply(inverse(X_89),multiply(X_29,multiply(X_89,inverse(X_29))))))) ),[1,0,1],$fot(commutator(X_89,inverse(X_29)))]]) ).
cnf(refute_0_1225,plain,
( multiply(X_89,inverse(multiply(X_29,multiply(X_89,inverse(X_29))))) != inverse(multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),multiply(inverse(X_89),multiply(X_29,multiply(X_89,inverse(X_29))))))
| multiply(X_89,inverse(multiply(X_29,multiply(X_89,inverse(X_29))))) = inverse(multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_89),multiply(X_29,multiply(X_89,inverse(X_29)))),commutator(X_89,inverse(X_29))) )],[refute_0_1223,refute_0_1224]) ).
cnf(refute_0_1226,plain,
multiply(X_89,inverse(multiply(X_29,multiply(X_89,inverse(X_29))))) = inverse(multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29)))),
inference(resolve,[$cnf( $equal(multiply(X_89,inverse(multiply(X_29,multiply(X_89,inverse(X_29))))),inverse(multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),multiply(inverse(X_89),multiply(X_29,multiply(X_89,inverse(X_29))))))) )],[refute_0_1220,refute_0_1225]) ).
cnf(refute_0_1227,plain,
( commutator(inverse(X_41),inverse(X_27)) != multiply(X_41,multiply(X_27,inverse(multiply(X_27,X_41))))
| multiply(X_41,multiply(X_27,inverse(multiply(X_27,X_41)))) = commutator(inverse(X_41),inverse(X_27)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(inverse(X_41),inverse(X_27)))),bind(Y0,$fot(multiply(X_41,multiply(X_27,inverse(multiply(X_27,X_41))))))]]) ).
cnf(refute_0_1228,plain,
multiply(X_41,multiply(X_27,inverse(multiply(X_27,X_41)))) = commutator(inverse(X_41),inverse(X_27)),
inference(resolve,[$cnf( $equal(commutator(inverse(X_41),inverse(X_27)),multiply(X_41,multiply(X_27,inverse(multiply(X_27,X_41))))) )],[refute_0_1219,refute_0_1227]) ).
cnf(refute_0_1229,plain,
multiply(X_89,multiply(X_29,inverse(multiply(X_29,X_89)))) = commutator(inverse(X_89),inverse(X_29)),
inference(subst,[],[refute_0_1228:[bind(X_27,$fot(X_29)),bind(X_41,$fot(X_89))]]) ).
cnf(refute_0_1230,plain,
inverse(multiply(X_29,multiply(X_89,inverse(X_29)))) = multiply(X_29,inverse(multiply(X_29,X_89))),
inference(subst,[],[refute_0_860:[bind(X_58,$fot(X_29)),bind(X_89,$fot(X_29)),bind(X_90,$fot(X_89))]]) ).
cnf(refute_0_1231,plain,
multiply(X_89,inverse(multiply(X_29,multiply(X_89,inverse(X_29))))) = multiply(X_89,inverse(multiply(X_29,multiply(X_89,inverse(X_29))))),
introduced(tautology,[refl,[$fot(multiply(X_89,inverse(multiply(X_29,multiply(X_89,inverse(X_29))))))]]) ).
cnf(refute_0_1232,plain,
( multiply(X_89,inverse(multiply(X_29,multiply(X_89,inverse(X_29))))) != multiply(X_89,inverse(multiply(X_29,multiply(X_89,inverse(X_29)))))
| inverse(multiply(X_29,multiply(X_89,inverse(X_29)))) != multiply(X_29,inverse(multiply(X_29,X_89)))
| multiply(X_89,inverse(multiply(X_29,multiply(X_89,inverse(X_29))))) = multiply(X_89,multiply(X_29,inverse(multiply(X_29,X_89)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_89,inverse(multiply(X_29,multiply(X_89,inverse(X_29))))),multiply(X_89,inverse(multiply(X_29,multiply(X_89,inverse(X_29)))))) ),[1,1],$fot(multiply(X_29,inverse(multiply(X_29,X_89))))]]) ).
cnf(refute_0_1233,plain,
( inverse(multiply(X_29,multiply(X_89,inverse(X_29)))) != multiply(X_29,inverse(multiply(X_29,X_89)))
| multiply(X_89,inverse(multiply(X_29,multiply(X_89,inverse(X_29))))) = multiply(X_89,multiply(X_29,inverse(multiply(X_29,X_89)))) ),
inference(resolve,[$cnf( $equal(multiply(X_89,inverse(multiply(X_29,multiply(X_89,inverse(X_29))))),multiply(X_89,inverse(multiply(X_29,multiply(X_89,inverse(X_29)))))) )],[refute_0_1231,refute_0_1232]) ).
cnf(refute_0_1234,plain,
multiply(X_89,inverse(multiply(X_29,multiply(X_89,inverse(X_29))))) = multiply(X_89,multiply(X_29,inverse(multiply(X_29,X_89)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),multiply(X_29,inverse(multiply(X_29,X_89)))) )],[refute_0_1230,refute_0_1233]) ).
cnf(refute_0_1235,plain,
( multiply(X_89,multiply(X_29,inverse(multiply(X_29,X_89)))) != commutator(inverse(X_89),inverse(X_29))
| multiply(X_89,inverse(multiply(X_29,multiply(X_89,inverse(X_29))))) != multiply(X_89,multiply(X_29,inverse(multiply(X_29,X_89))))
| multiply(X_89,inverse(multiply(X_29,multiply(X_89,inverse(X_29))))) = commutator(inverse(X_89),inverse(X_29)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_89,inverse(multiply(X_29,multiply(X_89,inverse(X_29))))))),bind(Y0,$fot(multiply(X_89,multiply(X_29,inverse(multiply(X_29,X_89)))))),bind(Z0,$fot(commutator(inverse(X_89),inverse(X_29))))]]) ).
cnf(refute_0_1236,plain,
( multiply(X_89,multiply(X_29,inverse(multiply(X_29,X_89)))) != commutator(inverse(X_89),inverse(X_29))
| multiply(X_89,inverse(multiply(X_29,multiply(X_89,inverse(X_29))))) = commutator(inverse(X_89),inverse(X_29)) ),
inference(resolve,[$cnf( $equal(multiply(X_89,inverse(multiply(X_29,multiply(X_89,inverse(X_29))))),multiply(X_89,multiply(X_29,inverse(multiply(X_29,X_89))))) )],[refute_0_1234,refute_0_1235]) ).
cnf(refute_0_1237,plain,
multiply(X_89,inverse(multiply(X_29,multiply(X_89,inverse(X_29))))) = commutator(inverse(X_89),inverse(X_29)),
inference(resolve,[$cnf( $equal(multiply(X_89,multiply(X_29,inverse(multiply(X_29,X_89)))),commutator(inverse(X_89),inverse(X_29))) )],[refute_0_1229,refute_0_1236]) ).
cnf(refute_0_1238,plain,
( multiply(X_89,inverse(multiply(X_29,multiply(X_89,inverse(X_29))))) != commutator(inverse(X_89),inverse(X_29))
| multiply(X_89,inverse(multiply(X_29,multiply(X_89,inverse(X_29))))) != inverse(multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29))))
| commutator(inverse(X_89),inverse(X_29)) = inverse(multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_89,inverse(multiply(X_29,multiply(X_89,inverse(X_29))))),inverse(multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29))))) ),[0],$fot(commutator(inverse(X_89),inverse(X_29)))]]) ).
cnf(refute_0_1239,plain,
( multiply(X_89,inverse(multiply(X_29,multiply(X_89,inverse(X_29))))) != inverse(multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29))))
| commutator(inverse(X_89),inverse(X_29)) = inverse(multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29)))) ),
inference(resolve,[$cnf( $equal(multiply(X_89,inverse(multiply(X_29,multiply(X_89,inverse(X_29))))),commutator(inverse(X_89),inverse(X_29))) )],[refute_0_1237,refute_0_1238]) ).
cnf(refute_0_1240,plain,
commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89) = commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),
introduced(tautology,[refl,[$fot(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89))]]) ).
cnf(refute_0_1241,plain,
( commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89) != commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89)
| inverse(multiply(X_29,multiply(X_89,inverse(X_29)))) != multiply(X_29,inverse(multiply(X_29,X_89)))
| commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89) = commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89)) ),[1,0],$fot(multiply(X_29,inverse(multiply(X_29,X_89))))]]) ).
cnf(refute_0_1242,plain,
( inverse(multiply(X_29,multiply(X_89,inverse(X_29)))) != multiply(X_29,inverse(multiply(X_29,X_89)))
| commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89) = commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89)) )],[refute_0_1240,refute_0_1241]) ).
cnf(refute_0_1243,plain,
commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89) = commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),
inference(resolve,[$cnf( $equal(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),multiply(X_29,inverse(multiply(X_29,X_89)))) )],[refute_0_1230,refute_0_1242]) ).
cnf(refute_0_1244,plain,
multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29))) = multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29))),
introduced(tautology,[refl,[$fot(multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29))))]]) ).
cnf(refute_0_1245,plain,
( multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29))) != multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29)))
| commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89) != commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89)
| multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29))) = multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29))),multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29)))) ),[1,0],$fot(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89))]]) ).
cnf(refute_0_1246,plain,
( commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89) != commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89)
| multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29))) = multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29))),multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29)))) )],[refute_0_1244,refute_0_1245]) ).
cnf(refute_0_1247,plain,
multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29))) = multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29))),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89)) )],[refute_0_1243,refute_0_1246]) ).
cnf(refute_0_1248,plain,
inverse(multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29)))) = inverse(multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29)))),
introduced(tautology,[refl,[$fot(inverse(multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29)))))]]) ).
cnf(refute_0_1249,plain,
( multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29))) != multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29)))
| inverse(multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29)))) != inverse(multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29))))
| inverse(multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29)))) = inverse(multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29)))),inverse(multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29))))) ),[1,0],$fot(multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29))))]]) ).
cnf(refute_0_1250,plain,
( multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29))) != multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29)))
| inverse(multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29)))) = inverse(multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29)))),inverse(multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29))))) )],[refute_0_1248,refute_0_1249]) ).
cnf(refute_0_1251,plain,
inverse(multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29)))) = inverse(multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29)))),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29))),multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29)))) )],[refute_0_1247,refute_0_1250]) ).
cnf(refute_0_1252,plain,
( commutator(inverse(X_89),inverse(X_29)) != inverse(multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29))))
| inverse(multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29)))) != inverse(multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29))))
| commutator(inverse(X_89),inverse(X_29)) = inverse(multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(inverse(X_89),inverse(X_29)),inverse(multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29))))) ),[0],$fot(inverse(multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29)))))]]) ).
cnf(refute_0_1253,plain,
( commutator(inverse(X_89),inverse(X_29)) != inverse(multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29))))
| commutator(inverse(X_89),inverse(X_29)) = inverse(multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29)))),inverse(multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29))))) )],[refute_0_1251,refute_0_1252]) ).
cnf(refute_0_1254,plain,
( multiply(X_89,inverse(multiply(X_29,multiply(X_89,inverse(X_29))))) != inverse(multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29))))
| commutator(inverse(X_89),inverse(X_29)) = inverse(multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29)))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_89),inverse(X_29)),inverse(multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29))))) )],[refute_0_1239,refute_0_1253]) ).
cnf(refute_0_1255,plain,
commutator(inverse(X_89),inverse(X_29)) = inverse(multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29)))),
inference(resolve,[$cnf( $equal(multiply(X_89,inverse(multiply(X_29,multiply(X_89,inverse(X_29))))),inverse(multiply(commutator(inverse(multiply(X_29,multiply(X_89,inverse(X_29)))),X_89),commutator(X_89,inverse(X_29))))) )],[refute_0_1226,refute_0_1254]) ).
cnf(refute_0_1256,plain,
inverse(commutator(X_89,inverse(X_29))) = commutator(inverse(X_29),X_89),
inference(subst,[],[refute_0_386:[bind(X,$fot(inverse(X_29))),bind(Y,$fot(X_89))]]) ).
cnf(refute_0_1257,plain,
multiply(identity,commutator(X_89,inverse(X_29))) = commutator(X_89,inverse(X_29)),
inference(subst,[],[left_identity:[bind(X,$fot(commutator(X_89,inverse(X_29))))]]) ).
cnf(refute_0_1258,plain,
identity = multiply(commutator(X_66,X_65),inverse(commutator(X_66,X_65))),
inference(subst,[],[refute_0_131:[bind(X_23,$fot(commutator(X_66,X_65)))]]) ).
cnf(refute_0_1259,plain,
( identity != multiply(commutator(X_66,X_65),inverse(commutator(X_66,X_65)))
| inverse(commutator(X_66,X_65)) != commutator(X_65,X_66)
| identity = multiply(commutator(X_66,X_65),commutator(X_65,X_66)) ),
introduced(tautology,[equality,[$cnf( $equal(identity,multiply(commutator(X_66,X_65),inverse(commutator(X_66,X_65)))) ),[1,1],$fot(commutator(X_65,X_66))]]) ).
cnf(refute_0_1260,plain,
( identity != multiply(commutator(X_66,X_65),inverse(commutator(X_66,X_65)))
| identity = multiply(commutator(X_66,X_65),commutator(X_65,X_66)) ),
inference(resolve,[$cnf( $equal(inverse(commutator(X_66,X_65)),commutator(X_65,X_66)) )],[refute_0_326,refute_0_1259]) ).
cnf(refute_0_1261,plain,
identity = multiply(commutator(X_66,X_65),commutator(X_65,X_66)),
inference(resolve,[$cnf( $equal(identity,multiply(commutator(X_66,X_65),inverse(commutator(X_66,X_65)))) )],[refute_0_1258,refute_0_1260]) ).
cnf(refute_0_1262,plain,
identity = multiply(commutator(X_66,multiply(inverse(multiply(X_66,X_104)),X_104)),commutator(multiply(inverse(multiply(X_66,X_104)),X_104),X_66)),
inference(subst,[],[refute_0_1261:[bind(X_65,$fot(multiply(inverse(multiply(X_66,X_104)),X_104)))]]) ).
cnf(refute_0_1263,plain,
identity = commutator(X_66,multiply(inverse(multiply(X_66,X_104)),X_104)),
inference(subst,[],[refute_0_474:[bind(X_10,$fot(X_66)),bind(X_102,$fot(X_104))]]) ).
cnf(refute_0_1264,plain,
( identity != commutator(X_66,multiply(inverse(multiply(X_66,X_104)),X_104))
| commutator(X_66,multiply(inverse(multiply(X_66,X_104)),X_104)) = identity ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(identity)),bind(Y0,$fot(commutator(X_66,multiply(inverse(multiply(X_66,X_104)),X_104))))]]) ).
cnf(refute_0_1265,plain,
commutator(X_66,multiply(inverse(multiply(X_66,X_104)),X_104)) = identity,
inference(resolve,[$cnf( $equal(identity,commutator(X_66,multiply(inverse(multiply(X_66,X_104)),X_104))) )],[refute_0_1263,refute_0_1264]) ).
cnf(refute_0_1266,plain,
( commutator(X_66,multiply(inverse(multiply(X_66,X_104)),X_104)) != identity
| identity != multiply(commutator(X_66,multiply(inverse(multiply(X_66,X_104)),X_104)),commutator(multiply(inverse(multiply(X_66,X_104)),X_104),X_66))
| identity = multiply(identity,commutator(multiply(inverse(multiply(X_66,X_104)),X_104),X_66)) ),
introduced(tautology,[equality,[$cnf( $equal(identity,multiply(commutator(X_66,multiply(inverse(multiply(X_66,X_104)),X_104)),commutator(multiply(inverse(multiply(X_66,X_104)),X_104),X_66))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_1267,plain,
( identity != multiply(commutator(X_66,multiply(inverse(multiply(X_66,X_104)),X_104)),commutator(multiply(inverse(multiply(X_66,X_104)),X_104),X_66))
| identity = multiply(identity,commutator(multiply(inverse(multiply(X_66,X_104)),X_104),X_66)) ),
inference(resolve,[$cnf( $equal(commutator(X_66,multiply(inverse(multiply(X_66,X_104)),X_104)),identity) )],[refute_0_1265,refute_0_1266]) ).
cnf(refute_0_1268,plain,
identity = multiply(identity,commutator(multiply(inverse(multiply(X_66,X_104)),X_104),X_66)),
inference(resolve,[$cnf( $equal(identity,multiply(commutator(X_66,multiply(inverse(multiply(X_66,X_104)),X_104)),commutator(multiply(inverse(multiply(X_66,X_104)),X_104),X_66))) )],[refute_0_1262,refute_0_1267]) ).
cnf(refute_0_1269,plain,
multiply(identity,commutator(multiply(inverse(multiply(X_66,X_104)),X_104),X_66)) = commutator(multiply(inverse(multiply(X_66,X_104)),X_104),X_66),
inference(subst,[],[left_identity:[bind(X,$fot(commutator(multiply(inverse(multiply(X_66,X_104)),X_104),X_66)))]]) ).
cnf(refute_0_1270,plain,
( multiply(identity,commutator(multiply(inverse(multiply(X_66,X_104)),X_104),X_66)) != commutator(multiply(inverse(multiply(X_66,X_104)),X_104),X_66)
| identity != multiply(identity,commutator(multiply(inverse(multiply(X_66,X_104)),X_104),X_66))
| identity = commutator(multiply(inverse(multiply(X_66,X_104)),X_104),X_66) ),
introduced(tautology,[equality,[$cnf( $equal(identity,multiply(identity,commutator(multiply(inverse(multiply(X_66,X_104)),X_104),X_66))) ),[1],$fot(commutator(multiply(inverse(multiply(X_66,X_104)),X_104),X_66))]]) ).
cnf(refute_0_1271,plain,
( identity != multiply(identity,commutator(multiply(inverse(multiply(X_66,X_104)),X_104),X_66))
| identity = commutator(multiply(inverse(multiply(X_66,X_104)),X_104),X_66) ),
inference(resolve,[$cnf( $equal(multiply(identity,commutator(multiply(inverse(multiply(X_66,X_104)),X_104),X_66)),commutator(multiply(inverse(multiply(X_66,X_104)),X_104),X_66)) )],[refute_0_1269,refute_0_1270]) ).
cnf(refute_0_1272,plain,
identity = commutator(multiply(inverse(multiply(X_66,X_104)),X_104),X_66),
inference(resolve,[$cnf( $equal(identity,multiply(identity,commutator(multiply(inverse(multiply(X_66,X_104)),X_104),X_66))) )],[refute_0_1268,refute_0_1271]) ).
cnf(refute_0_1273,plain,
identity = commutator(multiply(inverse(multiply(X_106,inverse(multiply(X_10,X_106)))),inverse(multiply(X_10,X_106))),X_106),
inference(subst,[],[refute_0_1272:[bind(X_104,$fot(inverse(multiply(X_10,X_106)))),bind(X_66,$fot(X_106))]]) ).
cnf(refute_0_1274,plain,
multiply(X_106,inverse(multiply(X_10,X_106))) = inverse(X_10),
inference(subst,[],[refute_0_176:[bind(X_57,$fot(X_106))]]) ).
cnf(refute_0_1275,plain,
( multiply(X_106,inverse(multiply(X_10,X_106))) != inverse(X_10)
| identity != commutator(multiply(inverse(multiply(X_106,inverse(multiply(X_10,X_106)))),inverse(multiply(X_10,X_106))),X_106)
| identity = commutator(multiply(inverse(inverse(X_10)),inverse(multiply(X_10,X_106))),X_106) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(multiply(inverse(multiply(X_106,inverse(multiply(X_10,X_106)))),inverse(multiply(X_10,X_106))),X_106)) ),[1,0,0,0],$fot(inverse(X_10))]]) ).
cnf(refute_0_1276,plain,
( identity != commutator(multiply(inverse(multiply(X_106,inverse(multiply(X_10,X_106)))),inverse(multiply(X_10,X_106))),X_106)
| identity = commutator(multiply(inverse(inverse(X_10)),inverse(multiply(X_10,X_106))),X_106) ),
inference(resolve,[$cnf( $equal(multiply(X_106,inverse(multiply(X_10,X_106))),inverse(X_10)) )],[refute_0_1274,refute_0_1275]) ).
cnf(refute_0_1277,plain,
identity = commutator(multiply(inverse(inverse(X_10)),inverse(multiply(X_10,X_106))),X_106),
inference(resolve,[$cnf( $equal(identity,commutator(multiply(inverse(multiply(X_106,inverse(multiply(X_10,X_106)))),inverse(multiply(X_10,X_106))),X_106)) )],[refute_0_1273,refute_0_1276]) ).
cnf(refute_0_1278,plain,
inverse(multiply(multiply(X_10,X_106),inverse(X_10))) = multiply(X_10,inverse(multiply(X_10,X_106))),
inference(subst,[],[refute_0_180:[bind(X,$fot(X_10)),bind(X_58,$fot(multiply(X_10,X_106)))]]) ).
cnf(refute_0_1279,plain,
multiply(inverse(inverse(X_10)),inverse(multiply(X_10,X_106))) = inverse(multiply(multiply(X_10,X_106),inverse(X_10))),
inference(subst,[],[refute_0_257:[bind(X_10,$fot(inverse(X_10))),bind(X_58,$fot(multiply(X_10,X_106)))]]) ).
cnf(refute_0_1280,plain,
( multiply(inverse(inverse(X_10)),inverse(multiply(X_10,X_106))) != inverse(multiply(multiply(X_10,X_106),inverse(X_10)))
| inverse(multiply(multiply(X_10,X_106),inverse(X_10))) != multiply(X_10,inverse(multiply(X_10,X_106)))
| multiply(inverse(inverse(X_10)),inverse(multiply(X_10,X_106))) = multiply(X_10,inverse(multiply(X_10,X_106))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(inverse(X_10)),inverse(multiply(X_10,X_106))))),bind(Y0,$fot(inverse(multiply(multiply(X_10,X_106),inverse(X_10))))),bind(Z0,$fot(multiply(X_10,inverse(multiply(X_10,X_106)))))]]) ).
cnf(refute_0_1281,plain,
( inverse(multiply(multiply(X_10,X_106),inverse(X_10))) != multiply(X_10,inverse(multiply(X_10,X_106)))
| multiply(inverse(inverse(X_10)),inverse(multiply(X_10,X_106))) = multiply(X_10,inverse(multiply(X_10,X_106))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_10)),inverse(multiply(X_10,X_106))),inverse(multiply(multiply(X_10,X_106),inverse(X_10)))) )],[refute_0_1279,refute_0_1280]) ).
cnf(refute_0_1282,plain,
multiply(inverse(inverse(X_10)),inverse(multiply(X_10,X_106))) = multiply(X_10,inverse(multiply(X_10,X_106))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_10,X_106),inverse(X_10))),multiply(X_10,inverse(multiply(X_10,X_106)))) )],[refute_0_1278,refute_0_1281]) ).
cnf(refute_0_1283,plain,
commutator(multiply(inverse(inverse(X_10)),inverse(multiply(X_10,X_106))),X_106) = commutator(multiply(inverse(inverse(X_10)),inverse(multiply(X_10,X_106))),X_106),
introduced(tautology,[refl,[$fot(commutator(multiply(inverse(inverse(X_10)),inverse(multiply(X_10,X_106))),X_106))]]) ).
cnf(refute_0_1284,plain,
( multiply(inverse(inverse(X_10)),inverse(multiply(X_10,X_106))) != multiply(X_10,inverse(multiply(X_10,X_106)))
| commutator(multiply(inverse(inverse(X_10)),inverse(multiply(X_10,X_106))),X_106) != commutator(multiply(inverse(inverse(X_10)),inverse(multiply(X_10,X_106))),X_106)
| commutator(multiply(inverse(inverse(X_10)),inverse(multiply(X_10,X_106))),X_106) = commutator(multiply(X_10,inverse(multiply(X_10,X_106))),X_106) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(inverse(X_10)),inverse(multiply(X_10,X_106))),X_106),commutator(multiply(inverse(inverse(X_10)),inverse(multiply(X_10,X_106))),X_106)) ),[1,0],$fot(multiply(X_10,inverse(multiply(X_10,X_106))))]]) ).
cnf(refute_0_1285,plain,
( multiply(inverse(inverse(X_10)),inverse(multiply(X_10,X_106))) != multiply(X_10,inverse(multiply(X_10,X_106)))
| commutator(multiply(inverse(inverse(X_10)),inverse(multiply(X_10,X_106))),X_106) = commutator(multiply(X_10,inverse(multiply(X_10,X_106))),X_106) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(inverse(X_10)),inverse(multiply(X_10,X_106))),X_106),commutator(multiply(inverse(inverse(X_10)),inverse(multiply(X_10,X_106))),X_106)) )],[refute_0_1283,refute_0_1284]) ).
cnf(refute_0_1286,plain,
commutator(multiply(inverse(inverse(X_10)),inverse(multiply(X_10,X_106))),X_106) = commutator(multiply(X_10,inverse(multiply(X_10,X_106))),X_106),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_10)),inverse(multiply(X_10,X_106))),multiply(X_10,inverse(multiply(X_10,X_106)))) )],[refute_0_1282,refute_0_1285]) ).
cnf(refute_0_1287,plain,
( commutator(multiply(inverse(inverse(X_10)),inverse(multiply(X_10,X_106))),X_106) != commutator(multiply(X_10,inverse(multiply(X_10,X_106))),X_106)
| identity != commutator(multiply(inverse(inverse(X_10)),inverse(multiply(X_10,X_106))),X_106)
| identity = commutator(multiply(X_10,inverse(multiply(X_10,X_106))),X_106) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(multiply(inverse(inverse(X_10)),inverse(multiply(X_10,X_106))),X_106)) ),[1],$fot(commutator(multiply(X_10,inverse(multiply(X_10,X_106))),X_106))]]) ).
cnf(refute_0_1288,plain,
( identity != commutator(multiply(inverse(inverse(X_10)),inverse(multiply(X_10,X_106))),X_106)
| identity = commutator(multiply(X_10,inverse(multiply(X_10,X_106))),X_106) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(inverse(X_10)),inverse(multiply(X_10,X_106))),X_106),commutator(multiply(X_10,inverse(multiply(X_10,X_106))),X_106)) )],[refute_0_1286,refute_0_1287]) ).
cnf(refute_0_1289,plain,
identity = commutator(multiply(X_10,inverse(multiply(X_10,X_106))),X_106),
inference(resolve,[$cnf( $equal(identity,commutator(multiply(inverse(inverse(X_10)),inverse(multiply(X_10,X_106))),X_106)) )],[refute_0_1277,refute_0_1288]) ).
cnf(refute_0_1290,plain,
( identity != commutator(multiply(X_10,inverse(multiply(X_10,X_106))),X_106)
| commutator(multiply(X_10,inverse(multiply(X_10,X_106))),X_106) = identity ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(identity)),bind(Y0,$fot(commutator(multiply(X_10,inverse(multiply(X_10,X_106))),X_106)))]]) ).
cnf(refute_0_1291,plain,
commutator(multiply(X_10,inverse(multiply(X_10,X_106))),X_106) = identity,
inference(resolve,[$cnf( $equal(identity,commutator(multiply(X_10,inverse(multiply(X_10,X_106))),X_106)) )],[refute_0_1289,refute_0_1290]) ).
cnf(refute_0_1292,plain,
commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89) = identity,
inference(subst,[],[refute_0_1291:[bind(X_10,$fot(X_29)),bind(X_106,$fot(X_89))]]) ).
cnf(refute_0_1293,plain,
multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29))) = multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29))),
introduced(tautology,[refl,[$fot(multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29))))]]) ).
cnf(refute_0_1294,plain,
( multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29))) != multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29)))
| commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89) != identity
| multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29))) = multiply(identity,commutator(X_89,inverse(X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29))),multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29)))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_1295,plain,
( commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89) != identity
| multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29))) = multiply(identity,commutator(X_89,inverse(X_29))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29))),multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29)))) )],[refute_0_1293,refute_0_1294]) ).
cnf(refute_0_1296,plain,
multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29))) = multiply(identity,commutator(X_89,inverse(X_29))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),identity) )],[refute_0_1292,refute_0_1295]) ).
cnf(refute_0_1297,plain,
( multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29))) != multiply(identity,commutator(X_89,inverse(X_29)))
| multiply(identity,commutator(X_89,inverse(X_29))) != commutator(X_89,inverse(X_29))
| multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29))) = commutator(X_89,inverse(X_29)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29))))),bind(Y0,$fot(multiply(identity,commutator(X_89,inverse(X_29))))),bind(Z0,$fot(commutator(X_89,inverse(X_29))))]]) ).
cnf(refute_0_1298,plain,
( multiply(identity,commutator(X_89,inverse(X_29))) != commutator(X_89,inverse(X_29))
| multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29))) = commutator(X_89,inverse(X_29)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29))),multiply(identity,commutator(X_89,inverse(X_29)))) )],[refute_0_1296,refute_0_1297]) ).
cnf(refute_0_1299,plain,
multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29))) = commutator(X_89,inverse(X_29)),
inference(resolve,[$cnf( $equal(multiply(identity,commutator(X_89,inverse(X_29))),commutator(X_89,inverse(X_29))) )],[refute_0_1257,refute_0_1298]) ).
cnf(refute_0_1300,plain,
inverse(multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29)))) = inverse(multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29)))),
introduced(tautology,[refl,[$fot(inverse(multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29)))))]]) ).
cnf(refute_0_1301,plain,
( multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29))) != commutator(X_89,inverse(X_29))
| inverse(multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29)))) != inverse(multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29))))
| inverse(multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29)))) = inverse(commutator(X_89,inverse(X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29)))),inverse(multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29))))) ),[1,0],$fot(commutator(X_89,inverse(X_29)))]]) ).
cnf(refute_0_1302,plain,
( multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29))) != commutator(X_89,inverse(X_29))
| inverse(multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29)))) = inverse(commutator(X_89,inverse(X_29))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29)))),inverse(multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29))))) )],[refute_0_1300,refute_0_1301]) ).
cnf(refute_0_1303,plain,
inverse(multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29)))) = inverse(commutator(X_89,inverse(X_29))),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29))),commutator(X_89,inverse(X_29))) )],[refute_0_1299,refute_0_1302]) ).
cnf(refute_0_1304,plain,
( inverse(multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29)))) != inverse(commutator(X_89,inverse(X_29)))
| inverse(commutator(X_89,inverse(X_29))) != commutator(inverse(X_29),X_89)
| inverse(multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29)))) = commutator(inverse(X_29),X_89) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29)))))),bind(Y0,$fot(inverse(commutator(X_89,inverse(X_29))))),bind(Z0,$fot(commutator(inverse(X_29),X_89)))]]) ).
cnf(refute_0_1305,plain,
( inverse(commutator(X_89,inverse(X_29))) != commutator(inverse(X_29),X_89)
| inverse(multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29)))) = commutator(inverse(X_29),X_89) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29)))),inverse(commutator(X_89,inverse(X_29)))) )],[refute_0_1303,refute_0_1304]) ).
cnf(refute_0_1306,plain,
inverse(multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29)))) = commutator(inverse(X_29),X_89),
inference(resolve,[$cnf( $equal(inverse(commutator(X_89,inverse(X_29))),commutator(inverse(X_29),X_89)) )],[refute_0_1256,refute_0_1305]) ).
cnf(refute_0_1307,plain,
( commutator(inverse(X_89),inverse(X_29)) != inverse(multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29))))
| inverse(multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29)))) != commutator(inverse(X_29),X_89)
| commutator(inverse(X_89),inverse(X_29)) = commutator(inverse(X_29),X_89) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(inverse(X_89),inverse(X_29)),commutator(inverse(X_29),X_89)) ),[0],$fot(inverse(multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29)))))]]) ).
cnf(refute_0_1308,plain,
( commutator(inverse(X_89),inverse(X_29)) != inverse(multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29))))
| commutator(inverse(X_89),inverse(X_29)) = commutator(inverse(X_29),X_89) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29)))),commutator(inverse(X_29),X_89)) )],[refute_0_1306,refute_0_1307]) ).
cnf(refute_0_1309,plain,
commutator(inverse(X_89),inverse(X_29)) = commutator(inverse(X_29),X_89),
inference(resolve,[$cnf( $equal(commutator(inverse(X_89),inverse(X_29)),inverse(multiply(commutator(multiply(X_29,inverse(multiply(X_29,X_89))),X_89),commutator(X_89,inverse(X_29))))) )],[refute_0_1255,refute_0_1308]) ).
cnf(refute_0_1310,plain,
commutator(inverse(X_41),inverse(X_27)) = commutator(inverse(X_27),X_41),
inference(subst,[],[refute_0_1309:[bind(X_29,$fot(X_27)),bind(X_89,$fot(X_41))]]) ).
cnf(refute_0_1311,plain,
( commutator(inverse(X_41),inverse(X_27)) != multiply(X_41,multiply(X_27,inverse(multiply(X_27,X_41))))
| commutator(inverse(X_41),inverse(X_27)) != commutator(inverse(X_27),X_41)
| commutator(inverse(X_27),X_41) = multiply(X_41,multiply(X_27,inverse(multiply(X_27,X_41)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(X_41),inverse(X_27)),multiply(X_41,multiply(X_27,inverse(multiply(X_27,X_41))))) ),[0],$fot(commutator(inverse(X_27),X_41))]]) ).
cnf(refute_0_1312,plain,
( commutator(inverse(X_41),inverse(X_27)) != multiply(X_41,multiply(X_27,inverse(multiply(X_27,X_41))))
| commutator(inverse(X_27),X_41) = multiply(X_41,multiply(X_27,inverse(multiply(X_27,X_41)))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_41),inverse(X_27)),commutator(inverse(X_27),X_41)) )],[refute_0_1310,refute_0_1311]) ).
cnf(refute_0_1313,plain,
commutator(inverse(X_27),X_41) = multiply(X_41,multiply(X_27,inverse(multiply(X_27,X_41)))),
inference(resolve,[$cnf( $equal(commutator(inverse(X_41),inverse(X_27)),multiply(X_41,multiply(X_27,inverse(multiply(X_27,X_41))))) )],[refute_0_1219,refute_0_1312]) ).
cnf(refute_0_1314,plain,
commutator(inverse(X_27),X_41) = commutator(X_41,X_27),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(X_27)),bind(X_110,$fot(X_41))]]) ).
cnf(refute_0_1315,plain,
( commutator(inverse(X_27),X_41) != multiply(X_41,multiply(X_27,inverse(multiply(X_27,X_41))))
| commutator(inverse(X_27),X_41) != commutator(X_41,X_27)
| commutator(X_41,X_27) = multiply(X_41,multiply(X_27,inverse(multiply(X_27,X_41)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(X_27),X_41),multiply(X_41,multiply(X_27,inverse(multiply(X_27,X_41))))) ),[0],$fot(commutator(X_41,X_27))]]) ).
cnf(refute_0_1316,plain,
( commutator(inverse(X_27),X_41) != multiply(X_41,multiply(X_27,inverse(multiply(X_27,X_41))))
| commutator(X_41,X_27) = multiply(X_41,multiply(X_27,inverse(multiply(X_27,X_41)))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_27),X_41),commutator(X_41,X_27)) )],[refute_0_1314,refute_0_1315]) ).
cnf(refute_0_1317,plain,
commutator(X_41,X_27) = multiply(X_41,multiply(X_27,inverse(multiply(X_27,X_41)))),
inference(resolve,[$cnf( $equal(commutator(inverse(X_27),X_41),multiply(X_41,multiply(X_27,inverse(multiply(X_27,X_41))))) )],[refute_0_1313,refute_0_1316]) ).
cnf(refute_0_1318,plain,
( commutator(X_41,X_27) != multiply(X_41,multiply(X_27,inverse(multiply(X_27,X_41))))
| multiply(X_41,multiply(X_27,inverse(multiply(X_27,X_41)))) = commutator(X_41,X_27) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_41,X_27))),bind(Y0,$fot(multiply(X_41,multiply(X_27,inverse(multiply(X_27,X_41))))))]]) ).
cnf(refute_0_1319,plain,
multiply(X_41,multiply(X_27,inverse(multiply(X_27,X_41)))) = commutator(X_41,X_27),
inference(resolve,[$cnf( $equal(commutator(X_41,X_27),multiply(X_41,multiply(X_27,inverse(multiply(X_27,X_41))))) )],[refute_0_1317,refute_0_1318]) ).
cnf(refute_0_1320,plain,
multiply(X_58,multiply(X_136,inverse(multiply(X_136,X_58)))) = commutator(X_58,X_136),
inference(subst,[],[refute_0_1319:[bind(X_27,$fot(X_136)),bind(X_41,$fot(X_58))]]) ).
cnf(refute_0_1321,plain,
( multiply(X_58,multiply(X_136,inverse(multiply(X_136,X_58)))) != commutator(X_58,X_136)
| multiply(X_58,multiply(X_136,inverse(multiply(X_136,X_58)))) != inverse(multiply(commutator(X_136,X_58),commutator(X_58,commutator(X_136,X_58))))
| commutator(X_58,X_136) = inverse(multiply(commutator(X_136,X_58),commutator(X_58,commutator(X_136,X_58)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_58,multiply(X_136,inverse(multiply(X_136,X_58)))),inverse(multiply(commutator(X_136,X_58),commutator(X_58,commutator(X_136,X_58))))) ),[0],$fot(commutator(X_58,X_136))]]) ).
cnf(refute_0_1322,plain,
( multiply(X_58,multiply(X_136,inverse(multiply(X_136,X_58)))) != inverse(multiply(commutator(X_136,X_58),commutator(X_58,commutator(X_136,X_58))))
| commutator(X_58,X_136) = inverse(multiply(commutator(X_136,X_58),commutator(X_58,commutator(X_136,X_58)))) ),
inference(resolve,[$cnf( $equal(multiply(X_58,multiply(X_136,inverse(multiply(X_136,X_58)))),commutator(X_58,X_136)) )],[refute_0_1320,refute_0_1321]) ).
cnf(refute_0_1323,plain,
inverse(multiply(commutator(X_136,X_58),commutator(X_58,commutator(X_136,X_58)))) = multiply(X_58,inverse(multiply(X_58,commutator(X_136,X_58)))),
inference(subst,[],[refute_0_878:[bind(X_134,$fot(commutator(X_136,X_58)))]]) ).
cnf(refute_0_1324,plain,
( commutator(X_58,X_136) != inverse(multiply(commutator(X_136,X_58),commutator(X_58,commutator(X_136,X_58))))
| inverse(multiply(commutator(X_136,X_58),commutator(X_58,commutator(X_136,X_58)))) != multiply(X_58,inverse(multiply(X_58,commutator(X_136,X_58))))
| commutator(X_58,X_136) = multiply(X_58,inverse(multiply(X_58,commutator(X_136,X_58)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(X_58,X_136),multiply(X_58,inverse(multiply(X_58,commutator(X_136,X_58))))) ),[0],$fot(inverse(multiply(commutator(X_136,X_58),commutator(X_58,commutator(X_136,X_58)))))]]) ).
cnf(refute_0_1325,plain,
( commutator(X_58,X_136) != inverse(multiply(commutator(X_136,X_58),commutator(X_58,commutator(X_136,X_58))))
| commutator(X_58,X_136) = multiply(X_58,inverse(multiply(X_58,commutator(X_136,X_58)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_136,X_58),commutator(X_58,commutator(X_136,X_58)))),multiply(X_58,inverse(multiply(X_58,commutator(X_136,X_58))))) )],[refute_0_1323,refute_0_1324]) ).
cnf(refute_0_1326,plain,
( multiply(X_58,multiply(X_136,inverse(multiply(X_136,X_58)))) != inverse(multiply(commutator(X_136,X_58),commutator(X_58,commutator(X_136,X_58))))
| commutator(X_58,X_136) = multiply(X_58,inverse(multiply(X_58,commutator(X_136,X_58)))) ),
inference(resolve,[$cnf( $equal(commutator(X_58,X_136),inverse(multiply(commutator(X_136,X_58),commutator(X_58,commutator(X_136,X_58))))) )],[refute_0_1322,refute_0_1325]) ).
cnf(refute_0_1327,plain,
commutator(X_58,X_136) = multiply(X_58,inverse(multiply(X_58,commutator(X_136,X_58)))),
inference(resolve,[$cnf( $equal(multiply(X_58,multiply(X_136,inverse(multiply(X_136,X_58)))),inverse(multiply(commutator(X_136,X_58),commutator(X_58,commutator(X_136,X_58))))) )],[refute_0_1203,refute_0_1326]) ).
cnf(refute_0_1328,plain,
( commutator(X_58,X_136) != multiply(X_58,inverse(multiply(X_58,commutator(X_136,X_58))))
| multiply(X_58,inverse(multiply(X_58,commutator(X_136,X_58)))) = commutator(X_58,X_136) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_58,X_136))),bind(Y0,$fot(multiply(X_58,inverse(multiply(X_58,commutator(X_136,X_58))))))]]) ).
cnf(refute_0_1329,plain,
multiply(X_58,inverse(multiply(X_58,commutator(X_136,X_58)))) = commutator(X_58,X_136),
inference(resolve,[$cnf( $equal(commutator(X_58,X_136),multiply(X_58,inverse(multiply(X_58,commutator(X_136,X_58))))) )],[refute_0_1327,refute_0_1328]) ).
cnf(refute_0_1330,plain,
multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))) = commutator(X_170,Z),
inference(subst,[],[refute_0_1329:[bind(X_136,$fot(Z)),bind(X_58,$fot(X_170))]]) ).
cnf(refute_0_1331,plain,
commutator(multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))),X_169) = commutator(multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))),X_169),
introduced(tautology,[refl,[$fot(commutator(multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))),X_169))]]) ).
cnf(refute_0_1332,plain,
( multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))) != commutator(X_170,Z)
| commutator(multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))),X_169) != commutator(multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))),X_169)
| commutator(multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))),X_169) = commutator(commutator(X_170,Z),X_169) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))),X_169),commutator(multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))),X_169)) ),[1,0],$fot(commutator(X_170,Z))]]) ).
cnf(refute_0_1333,plain,
( multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))) != commutator(X_170,Z)
| commutator(multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))),X_169) = commutator(commutator(X_170,Z),X_169) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))),X_169),commutator(multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))),X_169)) )],[refute_0_1331,refute_0_1332]) ).
cnf(refute_0_1334,plain,
commutator(multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))),X_169) = commutator(commutator(X_170,Z),X_169),
inference(resolve,[$cnf( $equal(multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))),commutator(X_170,Z)) )],[refute_0_1330,refute_0_1333]) ).
cnf(refute_0_1335,plain,
( commutator(multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))),X_169) != commutator(commutator(X_170,Z),X_169)
| commutator(commutator(X_170,Z),X_169) != commutator(X_170,commutator(Z,X_169))
| commutator(multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))),X_169) = commutator(X_170,commutator(Z,X_169)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))),X_169))),bind(Y0,$fot(commutator(commutator(X_170,Z),X_169))),bind(Z0,$fot(commutator(X_170,commutator(Z,X_169))))]]) ).
cnf(refute_0_1336,plain,
( commutator(commutator(X_170,Z),X_169) != commutator(X_170,commutator(Z,X_169))
| commutator(multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))),X_169) = commutator(X_170,commutator(Z,X_169)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))),X_169),commutator(commutator(X_170,Z),X_169)) )],[refute_0_1334,refute_0_1335]) ).
cnf(refute_0_1337,plain,
commutator(multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))),X_169) = commutator(X_170,commutator(Z,X_169)),
inference(resolve,[$cnf( $equal(commutator(commutator(X_170,Z),X_169),commutator(X_170,commutator(Z,X_169))) )],[refute_0_1196,refute_0_1336]) ).
cnf(refute_0_1338,plain,
( commutator(X_169,commutator(Z,X_170)) != commutator(multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))),X_169)
| commutator(multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))),X_169) != commutator(X_170,commutator(Z,X_169))
| commutator(X_169,commutator(Z,X_170)) = commutator(X_170,commutator(Z,X_169)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(X_169,commutator(Z,X_170)),commutator(X_170,commutator(Z,X_169))) ),[0],$fot(commutator(multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))),X_169))]]) ).
cnf(refute_0_1339,plain,
( commutator(X_169,commutator(Z,X_170)) != commutator(multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))),X_169)
| commutator(X_169,commutator(Z,X_170)) = commutator(X_170,commutator(Z,X_169)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))),X_169),commutator(X_170,commutator(Z,X_169))) )],[refute_0_1337,refute_0_1338]) ).
cnf(refute_0_1340,plain,
( commutator(X_169,multiply(commutator(Z,X_170),identity)) != commutator(multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))),X_169)
| commutator(X_169,commutator(Z,X_170)) = commutator(X_170,commutator(Z,X_169)) ),
inference(resolve,[$cnf( $equal(commutator(X_169,commutator(Z,X_170)),commutator(multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))),X_169)) )],[refute_0_1195,refute_0_1339]) ).
cnf(refute_0_1341,plain,
commutator(X_169,commutator(Z,X_170)) = commutator(X_170,commutator(Z,X_169)),
inference(resolve,[$cnf( $equal(commutator(X_169,multiply(commutator(Z,X_170),identity)),commutator(multiply(X_170,inverse(multiply(X_170,commutator(Z,X_170)))),X_169)) )],[refute_0_1188,refute_0_1340]) ).
cnf(refute_0_1342,plain,
( commutator(X_169,commutator(Z,X_170)) != commutator(X_170,commutator(Z,X_169))
| commutator(X_170,commutator(Z,X_169)) = commutator(X_169,commutator(Z,X_170)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_169,commutator(Z,X_170)))),bind(Y0,$fot(commutator(X_170,commutator(Z,X_169))))]]) ).
cnf(refute_0_1343,plain,
commutator(X_170,commutator(Z,X_169)) = commutator(X_169,commutator(Z,X_170)),
inference(resolve,[$cnf( $equal(commutator(X_169,commutator(Z,X_170)),commutator(X_170,commutator(Z,X_169))) )],[refute_0_1341,refute_0_1342]) ).
cnf(refute_0_1344,plain,
commutator(multiply(X_180,X_181),commutator(X_180,X_181)) = commutator(X_181,commutator(X_180,multiply(X_180,X_181))),
inference(subst,[],[refute_0_1343:[bind(Z,$fot(X_180)),bind(X_169,$fot(X_181)),bind(X_170,$fot(multiply(X_180,X_181)))]]) ).
cnf(refute_0_1345,plain,
( commutator(X_181,commutator(X_180,multiply(X_180,X_181))) != identity
| commutator(multiply(X_180,X_181),commutator(X_180,X_181)) != commutator(X_181,commutator(X_180,multiply(X_180,X_181)))
| commutator(multiply(X_180,X_181),commutator(X_180,X_181)) = identity ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_180,X_181),commutator(X_180,X_181)))),bind(Y0,$fot(commutator(X_181,commutator(X_180,multiply(X_180,X_181))))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_1346,plain,
( commutator(X_181,commutator(X_180,multiply(X_180,X_181))) != identity
| commutator(multiply(X_180,X_181),commutator(X_180,X_181)) = identity ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_180,X_181),commutator(X_180,X_181)),commutator(X_181,commutator(X_180,multiply(X_180,X_181)))) )],[refute_0_1344,refute_0_1345]) ).
cnf(refute_0_1347,plain,
commutator(multiply(X_180,X_181),commutator(X_180,X_181)) = identity,
inference(resolve,[$cnf( $equal(commutator(X_181,commutator(X_180,multiply(X_180,X_181))),identity) )],[refute_0_1168,refute_0_1346]) ).
cnf(refute_0_1348,plain,
multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181))) = multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181))),
introduced(tautology,[refl,[$fot(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181))))]]) ).
cnf(refute_0_1349,plain,
( multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181))) != multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181)))
| commutator(multiply(X_180,X_181),commutator(X_180,X_181)) != identity
| multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181))) = multiply(commutator(X_180,X_181),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181))),multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_1350,plain,
( commutator(multiply(X_180,X_181),commutator(X_180,X_181)) != identity
| multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181))) = multiply(commutator(X_180,X_181),identity) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181))),multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181)))) )],[refute_0_1348,refute_0_1349]) ).
cnf(refute_0_1351,plain,
multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181))) = multiply(commutator(X_180,X_181),identity),
inference(resolve,[$cnf( $equal(commutator(multiply(X_180,X_181),commutator(X_180,X_181)),identity) )],[refute_0_1347,refute_0_1350]) ).
cnf(refute_0_1352,plain,
( multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181))) != multiply(commutator(X_180,X_181),identity)
| multiply(commutator(X_180,X_181),identity) != commutator(X_180,X_181)
| multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181))) = commutator(X_180,X_181) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181))))),bind(Y0,$fot(multiply(commutator(X_180,X_181),identity))),bind(Z0,$fot(commutator(X_180,X_181)))]]) ).
cnf(refute_0_1353,plain,
( multiply(commutator(X_180,X_181),identity) != commutator(X_180,X_181)
| multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181))) = commutator(X_180,X_181) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181))),multiply(commutator(X_180,X_181),identity)) )],[refute_0_1351,refute_0_1352]) ).
cnf(refute_0_1354,plain,
multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181))) = commutator(X_180,X_181),
inference(resolve,[$cnf( $equal(multiply(commutator(X_180,X_181),identity),commutator(X_180,X_181)) )],[refute_0_1108,refute_0_1353]) ).
cnf(refute_0_1355,plain,
inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181)))) = inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181)))),
introduced(tautology,[refl,[$fot(inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181)))))]]) ).
cnf(refute_0_1356,plain,
( multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181))) != commutator(X_180,X_181)
| inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181)))) != inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181))))
| inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181)))) = inverse(commutator(X_180,X_181)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181)))),inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181))))) ),[1,0],$fot(commutator(X_180,X_181))]]) ).
cnf(refute_0_1357,plain,
( multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181))) != commutator(X_180,X_181)
| inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181)))) = inverse(commutator(X_180,X_181)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181)))),inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181))))) )],[refute_0_1355,refute_0_1356]) ).
cnf(refute_0_1358,plain,
inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181)))) = inverse(commutator(X_180,X_181)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181))),commutator(X_180,X_181)) )],[refute_0_1354,refute_0_1357]) ).
cnf(refute_0_1359,plain,
( inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181)))) != inverse(commutator(X_180,X_181))
| inverse(commutator(X_180,X_181)) != commutator(X_181,X_180)
| inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181)))) = commutator(X_181,X_180) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181)))))),bind(Y0,$fot(inverse(commutator(X_180,X_181)))),bind(Z0,$fot(commutator(X_181,X_180)))]]) ).
cnf(refute_0_1360,plain,
( inverse(commutator(X_180,X_181)) != commutator(X_181,X_180)
| inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181)))) = commutator(X_181,X_180) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181)))),inverse(commutator(X_180,X_181))) )],[refute_0_1358,refute_0_1359]) ).
cnf(refute_0_1361,plain,
inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181)))) = commutator(X_181,X_180),
inference(resolve,[$cnf( $equal(inverse(commutator(X_180,X_181)),commutator(X_181,X_180)) )],[refute_0_1107,refute_0_1360]) ).
cnf(refute_0_1362,plain,
inverse(multiply(X_128,commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128)))))) = multiply(inverse(multiply(X_128,inverse(multiply(X_163,multiply(X_164,X_128))))),inverse(multiply(X_163,multiply(X_164,X_128)))),
inference(subst,[],[refute_0_814:[bind(X_127,$fot(inverse(multiply(X_163,multiply(X_164,X_128)))))]]) ).
cnf(refute_0_1363,plain,
multiply(X_59,inverse(multiply(multiply(X,Y),X_59))) = inverse(multiply(X,Y)),
inference(subst,[],[refute_0_176:[bind(X_10,$fot(multiply(X,Y))),bind(X_57,$fot(X_59))]]) ).
cnf(refute_0_1364,plain,
multiply(multiply(X,Y),X_59) = multiply(X,multiply(Y,X_59)),
inference(subst,[],[associativity:[bind(Z,$fot(X_59))]]) ).
cnf(refute_0_1365,plain,
( multiply(X_59,inverse(multiply(multiply(X,Y),X_59))) != inverse(multiply(X,Y))
| multiply(multiply(X,Y),X_59) != multiply(X,multiply(Y,X_59))
| multiply(X_59,inverse(multiply(X,multiply(Y,X_59)))) = inverse(multiply(X,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_59,inverse(multiply(multiply(X,Y),X_59))),inverse(multiply(X,Y))) ),[0,1,0],$fot(multiply(X,multiply(Y,X_59)))]]) ).
cnf(refute_0_1366,plain,
( multiply(X_59,inverse(multiply(multiply(X,Y),X_59))) != inverse(multiply(X,Y))
| multiply(X_59,inverse(multiply(X,multiply(Y,X_59)))) = inverse(multiply(X,Y)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),X_59),multiply(X,multiply(Y,X_59))) )],[refute_0_1364,refute_0_1365]) ).
cnf(refute_0_1367,plain,
multiply(X_59,inverse(multiply(X,multiply(Y,X_59)))) = inverse(multiply(X,Y)),
inference(resolve,[$cnf( $equal(multiply(X_59,inverse(multiply(multiply(X,Y),X_59))),inverse(multiply(X,Y))) )],[refute_0_1363,refute_0_1366]) ).
cnf(refute_0_1368,plain,
multiply(X_128,inverse(multiply(X_163,multiply(X_164,X_128)))) = inverse(multiply(X_163,X_164)),
inference(subst,[],[refute_0_1367:[bind(X,$fot(X_163)),bind(Y,$fot(X_164)),bind(X_59,$fot(X_128))]]) ).
cnf(refute_0_1369,plain,
( multiply(X_128,inverse(multiply(X_163,multiply(X_164,X_128)))) != inverse(multiply(X_163,X_164))
| inverse(multiply(X_128,commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128)))))) != multiply(inverse(multiply(X_128,inverse(multiply(X_163,multiply(X_164,X_128))))),inverse(multiply(X_163,multiply(X_164,X_128))))
| inverse(multiply(X_128,commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128)))))) = multiply(inverse(inverse(multiply(X_163,X_164))),inverse(multiply(X_163,multiply(X_164,X_128)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_128,commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128)))))),multiply(inverse(multiply(X_128,inverse(multiply(X_163,multiply(X_164,X_128))))),inverse(multiply(X_163,multiply(X_164,X_128))))) ),[1,0,0],$fot(inverse(multiply(X_163,X_164)))]]) ).
cnf(refute_0_1370,plain,
( inverse(multiply(X_128,commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128)))))) != multiply(inverse(multiply(X_128,inverse(multiply(X_163,multiply(X_164,X_128))))),inverse(multiply(X_163,multiply(X_164,X_128))))
| inverse(multiply(X_128,commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128)))))) = multiply(inverse(inverse(multiply(X_163,X_164))),inverse(multiply(X_163,multiply(X_164,X_128)))) ),
inference(resolve,[$cnf( $equal(multiply(X_128,inverse(multiply(X_163,multiply(X_164,X_128)))),inverse(multiply(X_163,X_164))) )],[refute_0_1368,refute_0_1369]) ).
cnf(refute_0_1371,plain,
inverse(multiply(X_128,commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128)))))) = multiply(inverse(inverse(multiply(X_163,X_164))),inverse(multiply(X_163,multiply(X_164,X_128)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_128,commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128)))))),multiply(inverse(multiply(X_128,inverse(multiply(X_163,multiply(X_164,X_128))))),inverse(multiply(X_163,multiply(X_164,X_128))))) )],[refute_0_1362,refute_0_1370]) ).
cnf(refute_0_1372,plain,
commutator(Y,inverse(multiply(X_163,multiply(X_164,Y)))) = multiply(inverse(multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)),multiply(Y,inverse(multiply(X_163,multiply(X_164,Y))))),
inference(subst,[],[refute_0_718:[bind(X,$fot(inverse(multiply(X_163,multiply(X_164,Y)))))]]) ).
cnf(refute_0_1373,plain,
multiply(Y,inverse(multiply(X_163,multiply(X_164,Y)))) = inverse(multiply(X_163,X_164)),
inference(subst,[],[refute_0_1367:[bind(X,$fot(X_163)),bind(Y,$fot(X_164)),bind(X_59,$fot(Y))]]) ).
cnf(refute_0_1374,plain,
( multiply(Y,inverse(multiply(X_163,multiply(X_164,Y)))) != inverse(multiply(X_163,X_164))
| commutator(Y,inverse(multiply(X_163,multiply(X_164,Y)))) != multiply(inverse(multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)),multiply(Y,inverse(multiply(X_163,multiply(X_164,Y)))))
| commutator(Y,inverse(multiply(X_163,multiply(X_164,Y)))) = multiply(inverse(multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)),inverse(multiply(X_163,X_164))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(Y,inverse(multiply(X_163,multiply(X_164,Y)))),multiply(inverse(multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)),multiply(Y,inverse(multiply(X_163,multiply(X_164,Y)))))) ),[1,1],$fot(inverse(multiply(X_163,X_164)))]]) ).
cnf(refute_0_1375,plain,
( commutator(Y,inverse(multiply(X_163,multiply(X_164,Y)))) != multiply(inverse(multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)),multiply(Y,inverse(multiply(X_163,multiply(X_164,Y)))))
| commutator(Y,inverse(multiply(X_163,multiply(X_164,Y)))) = multiply(inverse(multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)),inverse(multiply(X_163,X_164))) ),
inference(resolve,[$cnf( $equal(multiply(Y,inverse(multiply(X_163,multiply(X_164,Y)))),inverse(multiply(X_163,X_164))) )],[refute_0_1373,refute_0_1374]) ).
cnf(refute_0_1376,plain,
commutator(Y,inverse(multiply(X_163,multiply(X_164,Y)))) = multiply(inverse(multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)),inverse(multiply(X_163,X_164))),
inference(resolve,[$cnf( $equal(commutator(Y,inverse(multiply(X_163,multiply(X_164,Y)))),multiply(inverse(multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)),multiply(Y,inverse(multiply(X_163,multiply(X_164,Y)))))) )],[refute_0_1372,refute_0_1375]) ).
cnf(refute_0_1377,plain,
commutator(Y,inverse(multiply(X_163,multiply(X_164,Y)))) = commutator(multiply(X_163,multiply(X_164,Y)),Y),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(multiply(X_163,multiply(X_164,Y)))),bind(X_110,$fot(Y))]]) ).
cnf(refute_0_1378,plain,
( commutator(Y,inverse(multiply(X_163,multiply(X_164,Y)))) != multiply(inverse(multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)),inverse(multiply(X_163,X_164)))
| commutator(Y,inverse(multiply(X_163,multiply(X_164,Y)))) != commutator(multiply(X_163,multiply(X_164,Y)),Y)
| commutator(multiply(X_163,multiply(X_164,Y)),Y) = multiply(inverse(multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)),inverse(multiply(X_163,X_164))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(Y,inverse(multiply(X_163,multiply(X_164,Y)))),multiply(inverse(multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)),inverse(multiply(X_163,X_164)))) ),[0],$fot(commutator(multiply(X_163,multiply(X_164,Y)),Y))]]) ).
cnf(refute_0_1379,plain,
( commutator(Y,inverse(multiply(X_163,multiply(X_164,Y)))) != multiply(inverse(multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)),inverse(multiply(X_163,X_164)))
| commutator(multiply(X_163,multiply(X_164,Y)),Y) = multiply(inverse(multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)),inverse(multiply(X_163,X_164))) ),
inference(resolve,[$cnf( $equal(commutator(Y,inverse(multiply(X_163,multiply(X_164,Y)))),commutator(multiply(X_163,multiply(X_164,Y)),Y)) )],[refute_0_1377,refute_0_1378]) ).
cnf(refute_0_1380,plain,
inverse(commutator(Y,multiply(X_163,X_164))) = commutator(multiply(X_163,X_164),Y),
inference(subst,[],[refute_0_386:[bind(X,$fot(multiply(X_163,X_164)))]]) ).
cnf(refute_0_1381,plain,
commutator(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,X_52))) = multiply(inverse(inverse(multiply(X_50,X_51))),multiply(inverse(multiply(X_50,multiply(X_51,X_52))),multiply(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,X_52))))),
inference(subst,[],[name:[bind(X,$fot(inverse(multiply(X_50,X_51)))),bind(Y,$fot(multiply(X_50,multiply(X_51,X_52))))]]) ).
cnf(refute_0_1382,plain,
X_52 = multiply(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,X_52))),
inference(subst,[],[refute_0_13:[bind(X,$fot(X_50)),bind(Y,$fot(X_51)),bind(X_16,$fot(X_52))]]) ).
cnf(refute_0_1383,plain,
( X_52 != multiply(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,X_52)))
| multiply(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,X_52))) = X_52 ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(X_52)),bind(Y0,$fot(multiply(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,X_52)))))]]) ).
cnf(refute_0_1384,plain,
multiply(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,X_52))) = X_52,
inference(resolve,[$cnf( $equal(X_52,multiply(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,X_52)))) )],[refute_0_1382,refute_0_1383]) ).
cnf(refute_0_1385,plain,
( multiply(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,X_52))) != X_52
| commutator(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,X_52))) != multiply(inverse(inverse(multiply(X_50,X_51))),multiply(inverse(multiply(X_50,multiply(X_51,X_52))),multiply(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,X_52)))))
| commutator(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,X_52))) = multiply(inverse(inverse(multiply(X_50,X_51))),multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,X_52))),multiply(inverse(inverse(multiply(X_50,X_51))),multiply(inverse(multiply(X_50,multiply(X_51,X_52))),multiply(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,X_52)))))) ),[1,1,1],$fot(X_52)]]) ).
cnf(refute_0_1386,plain,
( commutator(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,X_52))) != multiply(inverse(inverse(multiply(X_50,X_51))),multiply(inverse(multiply(X_50,multiply(X_51,X_52))),multiply(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,X_52)))))
| commutator(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,X_52))) = multiply(inverse(inverse(multiply(X_50,X_51))),multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,X_52))),X_52) )],[refute_0_1384,refute_0_1385]) ).
cnf(refute_0_1387,plain,
commutator(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,X_52))) = multiply(inverse(inverse(multiply(X_50,X_51))),multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,X_52))),multiply(inverse(inverse(multiply(X_50,X_51))),multiply(inverse(multiply(X_50,multiply(X_51,X_52))),multiply(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,X_52)))))) )],[refute_0_1381,refute_0_1386]) ).
cnf(refute_0_1388,plain,
multiply(multiply(X_50,X_51),multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)) = multiply(X_50,multiply(X_51,multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52))),
inference(subst,[],[associativity:[bind(X,$fot(X_50)),bind(Y,$fot(X_51)),bind(Z,$fot(multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)))]]) ).
cnf(refute_0_1389,plain,
inverse(inverse(multiply(X_50,X_51))) = multiply(X_50,X_51),
inference(subst,[],[refute_0_152:[bind(X_27,$fot(multiply(X_50,X_51)))]]) ).
cnf(refute_0_1390,plain,
multiply(inverse(inverse(multiply(X_50,X_51))),multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)) = multiply(inverse(inverse(multiply(X_50,X_51))),multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(multiply(X_50,X_51))),multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)))]]) ).
cnf(refute_0_1391,plain,
( multiply(inverse(inverse(multiply(X_50,X_51))),multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)) != multiply(inverse(inverse(multiply(X_50,X_51))),multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52))
| inverse(inverse(multiply(X_50,X_51))) != multiply(X_50,X_51)
| multiply(inverse(inverse(multiply(X_50,X_51))),multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)) = multiply(multiply(X_50,X_51),multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(multiply(X_50,X_51))),multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)),multiply(inverse(inverse(multiply(X_50,X_51))),multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52))) ),[1,0],$fot(multiply(X_50,X_51))]]) ).
cnf(refute_0_1392,plain,
( inverse(inverse(multiply(X_50,X_51))) != multiply(X_50,X_51)
| multiply(inverse(inverse(multiply(X_50,X_51))),multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)) = multiply(multiply(X_50,X_51),multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_50,X_51))),multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)),multiply(inverse(inverse(multiply(X_50,X_51))),multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52))) )],[refute_0_1390,refute_0_1391]) ).
cnf(refute_0_1393,plain,
multiply(inverse(inverse(multiply(X_50,X_51))),multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)) = multiply(multiply(X_50,X_51),multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_50,X_51))),multiply(X_50,X_51)) )],[refute_0_1389,refute_0_1392]) ).
cnf(refute_0_1394,plain,
( multiply(multiply(X_50,X_51),multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)) != multiply(X_50,multiply(X_51,multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)))
| multiply(inverse(inverse(multiply(X_50,X_51))),multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)) != multiply(multiply(X_50,X_51),multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52))
| multiply(inverse(inverse(multiply(X_50,X_51))),multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)) = multiply(X_50,multiply(X_51,multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(inverse(multiply(X_50,X_51))),multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)))),bind(Y0,$fot(multiply(multiply(X_50,X_51),multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)))),bind(Z0,$fot(multiply(X_50,multiply(X_51,multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)))))]]) ).
cnf(refute_0_1395,plain,
( multiply(multiply(X_50,X_51),multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)) != multiply(X_50,multiply(X_51,multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)))
| multiply(inverse(inverse(multiply(X_50,X_51))),multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)) = multiply(X_50,multiply(X_51,multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_50,X_51))),multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)),multiply(multiply(X_50,X_51),multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52))) )],[refute_0_1393,refute_0_1394]) ).
cnf(refute_0_1396,plain,
multiply(inverse(inverse(multiply(X_50,X_51))),multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)) = multiply(X_50,multiply(X_51,multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_50,X_51),multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)),multiply(X_50,multiply(X_51,multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)))) )],[refute_0_1388,refute_0_1395]) ).
cnf(refute_0_1397,plain,
( multiply(inverse(inverse(multiply(X_50,X_51))),multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)) != multiply(X_50,multiply(X_51,multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)))
| commutator(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,X_52))) != multiply(inverse(inverse(multiply(X_50,X_51))),multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52))
| commutator(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,X_52))) = multiply(X_50,multiply(X_51,multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,X_52))),multiply(inverse(inverse(multiply(X_50,X_51))),multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52))) ),[1],$fot(multiply(X_50,multiply(X_51,multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52))))]]) ).
cnf(refute_0_1398,plain,
( commutator(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,X_52))) != multiply(inverse(inverse(multiply(X_50,X_51))),multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52))
| commutator(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,X_52))) = multiply(X_50,multiply(X_51,multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_50,X_51))),multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)),multiply(X_50,multiply(X_51,multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)))) )],[refute_0_1396,refute_0_1397]) ).
cnf(refute_0_1399,plain,
commutator(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,X_52))) = multiply(X_50,multiply(X_51,multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52))),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,X_52))),multiply(inverse(inverse(multiply(X_50,X_51))),multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52))) )],[refute_0_1387,refute_0_1398]) ).
cnf(refute_0_1400,plain,
multiply(multiply(X,Y),multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40))) = multiply(X,multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40)))),
inference(subst,[],[associativity:[bind(Z,$fot(multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40))))]]) ).
cnf(refute_0_1401,plain,
commutator(inverse(multiply(X,Y)),X_40) = multiply(multiply(X,Y),multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40))),
inference(subst,[],[refute_0_414:[bind(Y,$fot(X_40)),bind(X_29,$fot(multiply(X,Y)))]]) ).
cnf(refute_0_1402,plain,
( commutator(inverse(multiply(X,Y)),X_40) != multiply(multiply(X,Y),multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40)))
| multiply(multiply(X,Y),multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40))) = commutator(inverse(multiply(X,Y)),X_40) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(inverse(multiply(X,Y)),X_40))),bind(Y0,$fot(multiply(multiply(X,Y),multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40)))))]]) ).
cnf(refute_0_1403,plain,
multiply(multiply(X,Y),multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40))) = commutator(inverse(multiply(X,Y)),X_40),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X,Y)),X_40),multiply(multiply(X,Y),multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40)))) )],[refute_0_1401,refute_0_1402]) ).
cnf(refute_0_1404,plain,
( multiply(multiply(X,Y),multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40))) != multiply(X,multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40))))
| multiply(multiply(X,Y),multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40))) != commutator(inverse(multiply(X,Y)),X_40)
| commutator(inverse(multiply(X,Y)),X_40) = multiply(X,multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X,Y),multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40))),multiply(X,multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40))))) ),[0],$fot(commutator(inverse(multiply(X,Y)),X_40))]]) ).
cnf(refute_0_1405,plain,
( multiply(multiply(X,Y),multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40))) != multiply(X,multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40))))
| commutator(inverse(multiply(X,Y)),X_40) = multiply(X,multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40))),commutator(inverse(multiply(X,Y)),X_40)) )],[refute_0_1403,refute_0_1404]) ).
cnf(refute_0_1406,plain,
commutator(inverse(multiply(X,Y)),X_40) = multiply(X,multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40))),multiply(X,multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40))))) )],[refute_0_1400,refute_0_1405]) ).
cnf(refute_0_1407,plain,
( commutator(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,X_52))) != multiply(X_50,multiply(X_51,multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)))
| multiply(X_50,multiply(X_51,multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52))) = commutator(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,X_52))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,X_52))))),bind(Y0,$fot(multiply(X_50,multiply(X_51,multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)))))]]) ).
cnf(refute_0_1408,plain,
multiply(X_50,multiply(X_51,multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52))) = commutator(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,X_52))),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,X_52))),multiply(X_50,multiply(X_51,multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)))) )],[refute_0_1399,refute_0_1407]) ).
cnf(refute_0_1409,plain,
multiply(X,multiply(Y,multiply(inverse(multiply(X,multiply(Y,X_40))),X_40))) = commutator(inverse(multiply(X,Y)),multiply(X,multiply(Y,X_40))),
inference(subst,[],[refute_0_1408:[bind(X_50,$fot(X)),bind(X_51,$fot(Y)),bind(X_52,$fot(X_40))]]) ).
cnf(refute_0_1410,plain,
multiply(multiply(X,Y),X_40) = multiply(X,multiply(Y,X_40)),
inference(subst,[],[associativity:[bind(Z,$fot(X_40))]]) ).
cnf(refute_0_1411,plain,
inverse(multiply(multiply(X,Y),X_40)) = inverse(multiply(multiply(X,Y),X_40)),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X,Y),X_40)))]]) ).
cnf(refute_0_1412,plain,
( multiply(multiply(X,Y),X_40) != multiply(X,multiply(Y,X_40))
| inverse(multiply(multiply(X,Y),X_40)) != inverse(multiply(multiply(X,Y),X_40))
| inverse(multiply(multiply(X,Y),X_40)) = inverse(multiply(X,multiply(Y,X_40))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X,Y),X_40)),inverse(multiply(multiply(X,Y),X_40))) ),[1,0],$fot(multiply(X,multiply(Y,X_40)))]]) ).
cnf(refute_0_1413,plain,
( multiply(multiply(X,Y),X_40) != multiply(X,multiply(Y,X_40))
| inverse(multiply(multiply(X,Y),X_40)) = inverse(multiply(X,multiply(Y,X_40))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X,Y),X_40)),inverse(multiply(multiply(X,Y),X_40))) )],[refute_0_1411,refute_0_1412]) ).
cnf(refute_0_1414,plain,
inverse(multiply(multiply(X,Y),X_40)) = inverse(multiply(X,multiply(Y,X_40))),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),X_40),multiply(X,multiply(Y,X_40))) )],[refute_0_1410,refute_0_1413]) ).
cnf(refute_0_1415,plain,
multiply(inverse(multiply(multiply(X,Y),X_40)),X_40) = multiply(inverse(multiply(multiply(X,Y),X_40)),X_40),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(multiply(X,Y),X_40)),X_40))]]) ).
cnf(refute_0_1416,plain,
( multiply(inverse(multiply(multiply(X,Y),X_40)),X_40) != multiply(inverse(multiply(multiply(X,Y),X_40)),X_40)
| inverse(multiply(multiply(X,Y),X_40)) != inverse(multiply(X,multiply(Y,X_40)))
| multiply(inverse(multiply(multiply(X,Y),X_40)),X_40) = multiply(inverse(multiply(X,multiply(Y,X_40))),X_40) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(multiply(X,Y),X_40)),X_40),multiply(inverse(multiply(multiply(X,Y),X_40)),X_40)) ),[1,0],$fot(inverse(multiply(X,multiply(Y,X_40))))]]) ).
cnf(refute_0_1417,plain,
( inverse(multiply(multiply(X,Y),X_40)) != inverse(multiply(X,multiply(Y,X_40)))
| multiply(inverse(multiply(multiply(X,Y),X_40)),X_40) = multiply(inverse(multiply(X,multiply(Y,X_40))),X_40) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X,Y),X_40)),X_40),multiply(inverse(multiply(multiply(X,Y),X_40)),X_40)) )],[refute_0_1415,refute_0_1416]) ).
cnf(refute_0_1418,plain,
multiply(inverse(multiply(multiply(X,Y),X_40)),X_40) = multiply(inverse(multiply(X,multiply(Y,X_40))),X_40),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X,Y),X_40)),inverse(multiply(X,multiply(Y,X_40)))) )],[refute_0_1414,refute_0_1417]) ).
cnf(refute_0_1419,plain,
multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40)) = multiply(inverse(multiply(multiply(X,Y),X_40)),X_40),
inference(subst,[],[refute_0_242:[bind(Z,$fot(X_40)),bind(X_62,$fot(X_40)),bind(X_63,$fot(multiply(X,Y)))]]) ).
cnf(refute_0_1420,plain,
( multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40)) != multiply(inverse(multiply(multiply(X,Y),X_40)),X_40)
| multiply(inverse(multiply(multiply(X,Y),X_40)),X_40) != multiply(inverse(multiply(X,multiply(Y,X_40))),X_40)
| multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40)) = multiply(inverse(multiply(X,multiply(Y,X_40))),X_40) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40)))),bind(Y0,$fot(multiply(inverse(multiply(multiply(X,Y),X_40)),X_40))),bind(Z0,$fot(multiply(inverse(multiply(X,multiply(Y,X_40))),X_40)))]]) ).
cnf(refute_0_1421,plain,
( multiply(inverse(multiply(multiply(X,Y),X_40)),X_40) != multiply(inverse(multiply(X,multiply(Y,X_40))),X_40)
| multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40)) = multiply(inverse(multiply(X,multiply(Y,X_40))),X_40) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40)),multiply(inverse(multiply(multiply(X,Y),X_40)),X_40)) )],[refute_0_1419,refute_0_1420]) ).
cnf(refute_0_1422,plain,
multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40)) = multiply(inverse(multiply(X,multiply(Y,X_40))),X_40),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X,Y),X_40)),X_40),multiply(inverse(multiply(X,multiply(Y,X_40))),X_40)) )],[refute_0_1418,refute_0_1421]) ).
cnf(refute_0_1423,plain,
multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40))) = multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40))),
introduced(tautology,[refl,[$fot(multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40))))]]) ).
cnf(refute_0_1424,plain,
( multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40))) != multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40)))
| multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40)) != multiply(inverse(multiply(X,multiply(Y,X_40))),X_40)
| multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40))) = multiply(Y,multiply(inverse(multiply(X,multiply(Y,X_40))),X_40)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40))),multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40)))) ),[1,1],$fot(multiply(inverse(multiply(X,multiply(Y,X_40))),X_40))]]) ).
cnf(refute_0_1425,plain,
( multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40)) != multiply(inverse(multiply(X,multiply(Y,X_40))),X_40)
| multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40))) = multiply(Y,multiply(inverse(multiply(X,multiply(Y,X_40))),X_40)) ),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40))),multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40)))) )],[refute_0_1423,refute_0_1424]) ).
cnf(refute_0_1426,plain,
multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40))) = multiply(Y,multiply(inverse(multiply(X,multiply(Y,X_40))),X_40)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40)),multiply(inverse(multiply(X,multiply(Y,X_40))),X_40)) )],[refute_0_1422,refute_0_1425]) ).
cnf(refute_0_1427,plain,
multiply(X,multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40)))) = multiply(X,multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40)))),
introduced(tautology,[refl,[$fot(multiply(X,multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40)))))]]) ).
cnf(refute_0_1428,plain,
( multiply(X,multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40)))) != multiply(X,multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40))))
| multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40))) != multiply(Y,multiply(inverse(multiply(X,multiply(Y,X_40))),X_40))
| multiply(X,multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40)))) = multiply(X,multiply(Y,multiply(inverse(multiply(X,multiply(Y,X_40))),X_40))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40)))),multiply(X,multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40))))) ),[1,1],$fot(multiply(Y,multiply(inverse(multiply(X,multiply(Y,X_40))),X_40)))]]) ).
cnf(refute_0_1429,plain,
( multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40))) != multiply(Y,multiply(inverse(multiply(X,multiply(Y,X_40))),X_40))
| multiply(X,multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40)))) = multiply(X,multiply(Y,multiply(inverse(multiply(X,multiply(Y,X_40))),X_40))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40)))),multiply(X,multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40))))) )],[refute_0_1427,refute_0_1428]) ).
cnf(refute_0_1430,plain,
multiply(X,multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40)))) = multiply(X,multiply(Y,multiply(inverse(multiply(X,multiply(Y,X_40))),X_40))),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40))),multiply(Y,multiply(inverse(multiply(X,multiply(Y,X_40))),X_40))) )],[refute_0_1426,refute_0_1429]) ).
cnf(refute_0_1431,plain,
( multiply(X,multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40)))) != multiply(X,multiply(Y,multiply(inverse(multiply(X,multiply(Y,X_40))),X_40)))
| multiply(X,multiply(Y,multiply(inverse(multiply(X,multiply(Y,X_40))),X_40))) != commutator(inverse(multiply(X,Y)),multiply(X,multiply(Y,X_40)))
| multiply(X,multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40)))) = commutator(inverse(multiply(X,Y)),multiply(X,multiply(Y,X_40))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X,multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40)))))),bind(Y0,$fot(multiply(X,multiply(Y,multiply(inverse(multiply(X,multiply(Y,X_40))),X_40))))),bind(Z0,$fot(commutator(inverse(multiply(X,Y)),multiply(X,multiply(Y,X_40)))))]]) ).
cnf(refute_0_1432,plain,
( multiply(X,multiply(Y,multiply(inverse(multiply(X,multiply(Y,X_40))),X_40))) != commutator(inverse(multiply(X,Y)),multiply(X,multiply(Y,X_40)))
| multiply(X,multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40)))) = commutator(inverse(multiply(X,Y)),multiply(X,multiply(Y,X_40))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40)))),multiply(X,multiply(Y,multiply(inverse(multiply(X,multiply(Y,X_40))),X_40)))) )],[refute_0_1430,refute_0_1431]) ).
cnf(refute_0_1433,plain,
multiply(X,multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40)))) = commutator(inverse(multiply(X,Y)),multiply(X,multiply(Y,X_40))),
inference(resolve,[$cnf( $equal(multiply(X,multiply(Y,multiply(inverse(multiply(X,multiply(Y,X_40))),X_40))),commutator(inverse(multiply(X,Y)),multiply(X,multiply(Y,X_40)))) )],[refute_0_1409,refute_0_1432]) ).
cnf(refute_0_1434,plain,
( multiply(X,multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40)))) != commutator(inverse(multiply(X,Y)),multiply(X,multiply(Y,X_40)))
| commutator(inverse(multiply(X,Y)),X_40) != multiply(X,multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40))))
| commutator(inverse(multiply(X,Y)),X_40) = commutator(inverse(multiply(X,Y)),multiply(X,multiply(Y,X_40))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(multiply(X,Y)),X_40),multiply(X,multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40))))) ),[1],$fot(commutator(inverse(multiply(X,Y)),multiply(X,multiply(Y,X_40))))]]) ).
cnf(refute_0_1435,plain,
( commutator(inverse(multiply(X,Y)),X_40) != multiply(X,multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40))))
| commutator(inverse(multiply(X,Y)),X_40) = commutator(inverse(multiply(X,Y)),multiply(X,multiply(Y,X_40))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40)))),commutator(inverse(multiply(X,Y)),multiply(X,multiply(Y,X_40)))) )],[refute_0_1433,refute_0_1434]) ).
cnf(refute_0_1436,plain,
commutator(inverse(multiply(X,Y)),X_40) = commutator(inverse(multiply(X,Y)),multiply(X,multiply(Y,X_40))),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X,Y)),X_40),multiply(X,multiply(Y,multiply(inverse(X_40),multiply(inverse(multiply(X,Y)),X_40))))) )],[refute_0_1406,refute_0_1435]) ).
cnf(refute_0_1437,plain,
( commutator(inverse(multiply(X,Y)),X_40) != commutator(inverse(multiply(X,Y)),multiply(X,multiply(Y,X_40)))
| commutator(inverse(multiply(X,Y)),multiply(X,multiply(Y,X_40))) = commutator(inverse(multiply(X,Y)),X_40) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(inverse(multiply(X,Y)),X_40))),bind(Y0,$fot(commutator(inverse(multiply(X,Y)),multiply(X,multiply(Y,X_40)))))]]) ).
cnf(refute_0_1438,plain,
commutator(inverse(multiply(X,Y)),multiply(X,multiply(Y,X_40))) = commutator(inverse(multiply(X,Y)),X_40),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X,Y)),X_40),commutator(inverse(multiply(X,Y)),multiply(X,multiply(Y,X_40)))) )],[refute_0_1436,refute_0_1437]) ).
cnf(refute_0_1439,plain,
commutator(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,X_52))) = commutator(inverse(multiply(X_50,X_51)),X_52),
inference(subst,[],[refute_0_1438:[bind(X,$fot(X_50)),bind(Y,$fot(X_51)),bind(X_40,$fot(X_52))]]) ).
cnf(refute_0_1440,plain,
( commutator(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,X_52))) != multiply(X_50,multiply(X_51,multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)))
| commutator(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,X_52))) != commutator(inverse(multiply(X_50,X_51)),X_52)
| commutator(inverse(multiply(X_50,X_51)),X_52) = multiply(X_50,multiply(X_51,multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,X_52))),multiply(X_50,multiply(X_51,multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)))) ),[0],$fot(commutator(inverse(multiply(X_50,X_51)),X_52))]]) ).
cnf(refute_0_1441,plain,
( commutator(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,X_52))) != multiply(X_50,multiply(X_51,multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)))
| commutator(inverse(multiply(X_50,X_51)),X_52) = multiply(X_50,multiply(X_51,multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,X_52))),commutator(inverse(multiply(X_50,X_51)),X_52)) )],[refute_0_1439,refute_0_1440]) ).
cnf(refute_0_1442,plain,
commutator(inverse(multiply(X_50,X_51)),X_52) = multiply(X_50,multiply(X_51,multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52))),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_51,X_52))),multiply(X_50,multiply(X_51,multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)))) )],[refute_0_1399,refute_0_1441]) ).
cnf(refute_0_1443,plain,
commutator(inverse(multiply(X_50,X_51)),X_52) = commutator(X_52,multiply(X_50,X_51)),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(multiply(X_50,X_51))),bind(X_110,$fot(X_52))]]) ).
cnf(refute_0_1444,plain,
( commutator(inverse(multiply(X_50,X_51)),X_52) != multiply(X_50,multiply(X_51,multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)))
| commutator(inverse(multiply(X_50,X_51)),X_52) != commutator(X_52,multiply(X_50,X_51))
| commutator(X_52,multiply(X_50,X_51)) = multiply(X_50,multiply(X_51,multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(multiply(X_50,X_51)),X_52),multiply(X_50,multiply(X_51,multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)))) ),[0],$fot(commutator(X_52,multiply(X_50,X_51)))]]) ).
cnf(refute_0_1445,plain,
( commutator(inverse(multiply(X_50,X_51)),X_52) != multiply(X_50,multiply(X_51,multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)))
| commutator(X_52,multiply(X_50,X_51)) = multiply(X_50,multiply(X_51,multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_50,X_51)),X_52),commutator(X_52,multiply(X_50,X_51))) )],[refute_0_1443,refute_0_1444]) ).
cnf(refute_0_1446,plain,
commutator(X_52,multiply(X_50,X_51)) = multiply(X_50,multiply(X_51,multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52))),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_50,X_51)),X_52),multiply(X_50,multiply(X_51,multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)))) )],[refute_0_1442,refute_0_1445]) ).
cnf(refute_0_1447,plain,
( commutator(X_52,multiply(X_50,X_51)) != multiply(X_50,multiply(X_51,multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)))
| multiply(X_50,multiply(X_51,multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52))) = commutator(X_52,multiply(X_50,X_51)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_52,multiply(X_50,X_51)))),bind(Y0,$fot(multiply(X_50,multiply(X_51,multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)))))]]) ).
cnf(refute_0_1448,plain,
multiply(X_50,multiply(X_51,multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52))) = commutator(X_52,multiply(X_50,X_51)),
inference(resolve,[$cnf( $equal(commutator(X_52,multiply(X_50,X_51)),multiply(X_50,multiply(X_51,multiply(inverse(multiply(X_50,multiply(X_51,X_52))),X_52)))) )],[refute_0_1446,refute_0_1447]) ).
cnf(refute_0_1449,plain,
multiply(X_163,multiply(X_164,multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y))) = commutator(Y,multiply(X_163,X_164)),
inference(subst,[],[refute_0_1448:[bind(X_50,$fot(X_163)),bind(X_51,$fot(X_164)),bind(X_52,$fot(Y))]]) ).
cnf(refute_0_1450,plain,
multiply(multiply(X_163,X_164),multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)) = multiply(X_163,multiply(X_164,multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y))),
inference(subst,[],[associativity:[bind(X,$fot(X_163)),bind(Y,$fot(X_164)),bind(Z,$fot(multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)))]]) ).
cnf(refute_0_1451,plain,
( multiply(X_163,multiply(X_164,multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y))) != commutator(Y,multiply(X_163,X_164))
| multiply(multiply(X_163,X_164),multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)) != multiply(X_163,multiply(X_164,multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)))
| multiply(multiply(X_163,X_164),multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)) = commutator(Y,multiply(X_163,X_164)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_163,X_164),multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)))),bind(Y0,$fot(multiply(X_163,multiply(X_164,multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y))))),bind(Z0,$fot(commutator(Y,multiply(X_163,X_164))))]]) ).
cnf(refute_0_1452,plain,
( multiply(X_163,multiply(X_164,multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y))) != commutator(Y,multiply(X_163,X_164))
| multiply(multiply(X_163,X_164),multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)) = commutator(Y,multiply(X_163,X_164)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_163,X_164),multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)),multiply(X_163,multiply(X_164,multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)))) )],[refute_0_1450,refute_0_1451]) ).
cnf(refute_0_1453,plain,
multiply(multiply(X_163,X_164),multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)) = commutator(Y,multiply(X_163,X_164)),
inference(resolve,[$cnf( $equal(multiply(X_163,multiply(X_164,multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y))),commutator(Y,multiply(X_163,X_164))) )],[refute_0_1449,refute_0_1452]) ).
cnf(refute_0_1454,plain,
inverse(multiply(multiply(X_163,X_164),multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y))) = inverse(multiply(multiply(X_163,X_164),multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_163,X_164),multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y))))]]) ).
cnf(refute_0_1455,plain,
( multiply(multiply(X_163,X_164),multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)) != commutator(Y,multiply(X_163,X_164))
| inverse(multiply(multiply(X_163,X_164),multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y))) != inverse(multiply(multiply(X_163,X_164),multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)))
| inverse(multiply(multiply(X_163,X_164),multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y))) = inverse(commutator(Y,multiply(X_163,X_164))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_163,X_164),multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y))),inverse(multiply(multiply(X_163,X_164),multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)))) ),[1,0],$fot(commutator(Y,multiply(X_163,X_164)))]]) ).
cnf(refute_0_1456,plain,
( multiply(multiply(X_163,X_164),multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)) != commutator(Y,multiply(X_163,X_164))
| inverse(multiply(multiply(X_163,X_164),multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y))) = inverse(commutator(Y,multiply(X_163,X_164))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_163,X_164),multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y))),inverse(multiply(multiply(X_163,X_164),multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)))) )],[refute_0_1454,refute_0_1455]) ).
cnf(refute_0_1457,plain,
inverse(multiply(multiply(X_163,X_164),multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y))) = inverse(commutator(Y,multiply(X_163,X_164))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_163,X_164),multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)),commutator(Y,multiply(X_163,X_164))) )],[refute_0_1453,refute_0_1456]) ).
cnf(refute_0_1458,plain,
( inverse(multiply(multiply(X_163,X_164),multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y))) != inverse(commutator(Y,multiply(X_163,X_164)))
| inverse(commutator(Y,multiply(X_163,X_164))) != commutator(multiply(X_163,X_164),Y)
| inverse(multiply(multiply(X_163,X_164),multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y))) = commutator(multiply(X_163,X_164),Y) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(multiply(X_163,X_164),multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y))))),bind(Y0,$fot(inverse(commutator(Y,multiply(X_163,X_164))))),bind(Z0,$fot(commutator(multiply(X_163,X_164),Y)))]]) ).
cnf(refute_0_1459,plain,
( inverse(commutator(Y,multiply(X_163,X_164))) != commutator(multiply(X_163,X_164),Y)
| inverse(multiply(multiply(X_163,X_164),multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y))) = commutator(multiply(X_163,X_164),Y) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_163,X_164),multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y))),inverse(commutator(Y,multiply(X_163,X_164)))) )],[refute_0_1457,refute_0_1458]) ).
cnf(refute_0_1460,plain,
inverse(multiply(multiply(X_163,X_164),multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y))) = commutator(multiply(X_163,X_164),Y),
inference(resolve,[$cnf( $equal(inverse(commutator(Y,multiply(X_163,X_164))),commutator(multiply(X_163,X_164),Y)) )],[refute_0_1380,refute_0_1459]) ).
cnf(refute_0_1461,plain,
multiply(inverse(multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)),inverse(multiply(X_163,X_164))) = inverse(multiply(multiply(X_163,X_164),multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y))),
inference(subst,[],[refute_0_257:[bind(X_10,$fot(multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y))),bind(X_58,$fot(multiply(X_163,X_164)))]]) ).
cnf(refute_0_1462,plain,
( multiply(inverse(multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)),inverse(multiply(X_163,X_164))) != inverse(multiply(multiply(X_163,X_164),multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)))
| inverse(multiply(multiply(X_163,X_164),multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y))) != commutator(multiply(X_163,X_164),Y)
| multiply(inverse(multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)),inverse(multiply(X_163,X_164))) = commutator(multiply(X_163,X_164),Y) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)),inverse(multiply(X_163,X_164))))),bind(Y0,$fot(inverse(multiply(multiply(X_163,X_164),multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y))))),bind(Z0,$fot(commutator(multiply(X_163,X_164),Y)))]]) ).
cnf(refute_0_1463,plain,
( inverse(multiply(multiply(X_163,X_164),multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y))) != commutator(multiply(X_163,X_164),Y)
| multiply(inverse(multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)),inverse(multiply(X_163,X_164))) = commutator(multiply(X_163,X_164),Y) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)),inverse(multiply(X_163,X_164))),inverse(multiply(multiply(X_163,X_164),multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)))) )],[refute_0_1461,refute_0_1462]) ).
cnf(refute_0_1464,plain,
multiply(inverse(multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)),inverse(multiply(X_163,X_164))) = commutator(multiply(X_163,X_164),Y),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_163,X_164),multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y))),commutator(multiply(X_163,X_164),Y)) )],[refute_0_1460,refute_0_1463]) ).
cnf(refute_0_1465,plain,
( multiply(inverse(multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)),inverse(multiply(X_163,X_164))) != commutator(multiply(X_163,X_164),Y)
| commutator(multiply(X_163,multiply(X_164,Y)),Y) != multiply(inverse(multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)),inverse(multiply(X_163,X_164)))
| commutator(multiply(X_163,multiply(X_164,Y)),Y) = commutator(multiply(X_163,X_164),Y) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_163,multiply(X_164,Y)),Y),multiply(inverse(multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)),inverse(multiply(X_163,X_164)))) ),[1],$fot(commutator(multiply(X_163,X_164),Y))]]) ).
cnf(refute_0_1466,plain,
( commutator(multiply(X_163,multiply(X_164,Y)),Y) != multiply(inverse(multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)),inverse(multiply(X_163,X_164)))
| commutator(multiply(X_163,multiply(X_164,Y)),Y) = commutator(multiply(X_163,X_164),Y) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)),inverse(multiply(X_163,X_164))),commutator(multiply(X_163,X_164),Y)) )],[refute_0_1464,refute_0_1465]) ).
cnf(refute_0_1467,plain,
( commutator(Y,inverse(multiply(X_163,multiply(X_164,Y)))) != multiply(inverse(multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)),inverse(multiply(X_163,X_164)))
| commutator(multiply(X_163,multiply(X_164,Y)),Y) = commutator(multiply(X_163,X_164),Y) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_163,multiply(X_164,Y)),Y),multiply(inverse(multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)),inverse(multiply(X_163,X_164)))) )],[refute_0_1379,refute_0_1466]) ).
cnf(refute_0_1468,plain,
commutator(multiply(X_163,multiply(X_164,Y)),Y) = commutator(multiply(X_163,X_164),Y),
inference(resolve,[$cnf( $equal(commutator(Y,inverse(multiply(X_163,multiply(X_164,Y)))),multiply(inverse(multiply(inverse(multiply(X_163,multiply(X_164,Y))),Y)),inverse(multiply(X_163,X_164)))) )],[refute_0_1376,refute_0_1467]) ).
cnf(refute_0_1469,plain,
commutator(multiply(X_163,multiply(X_164,X_128)),X_128) = commutator(multiply(X_163,X_164),X_128),
inference(subst,[],[refute_0_1468:[bind(Y,$fot(X_128))]]) ).
cnf(refute_0_1470,plain,
commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128)))) = commutator(multiply(X_163,multiply(X_164,X_128)),X_128),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(multiply(X_163,multiply(X_164,X_128)))),bind(X_110,$fot(X_128))]]) ).
cnf(refute_0_1471,plain,
( commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128)))) != commutator(multiply(X_163,multiply(X_164,X_128)),X_128)
| commutator(multiply(X_163,multiply(X_164,X_128)),X_128) != commutator(multiply(X_163,X_164),X_128)
| commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128)))) = commutator(multiply(X_163,X_164),X_128) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128)))))),bind(Y0,$fot(commutator(multiply(X_163,multiply(X_164,X_128)),X_128))),bind(Z0,$fot(commutator(multiply(X_163,X_164),X_128)))]]) ).
cnf(refute_0_1472,plain,
( commutator(multiply(X_163,multiply(X_164,X_128)),X_128) != commutator(multiply(X_163,X_164),X_128)
| commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128)))) = commutator(multiply(X_163,X_164),X_128) ),
inference(resolve,[$cnf( $equal(commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128)))),commutator(multiply(X_163,multiply(X_164,X_128)),X_128)) )],[refute_0_1470,refute_0_1471]) ).
cnf(refute_0_1473,plain,
commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128)))) = commutator(multiply(X_163,X_164),X_128),
inference(resolve,[$cnf( $equal(commutator(multiply(X_163,multiply(X_164,X_128)),X_128),commutator(multiply(X_163,X_164),X_128)) )],[refute_0_1469,refute_0_1472]) ).
cnf(refute_0_1474,plain,
multiply(X_128,commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128))))) = multiply(X_128,commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128))))),
introduced(tautology,[refl,[$fot(multiply(X_128,commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128))))))]]) ).
cnf(refute_0_1475,plain,
( multiply(X_128,commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128))))) != multiply(X_128,commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128)))))
| commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128)))) != commutator(multiply(X_163,X_164),X_128)
| multiply(X_128,commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128))))) = multiply(X_128,commutator(multiply(X_163,X_164),X_128)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_128,commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128))))),multiply(X_128,commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128)))))) ),[1,1],$fot(commutator(multiply(X_163,X_164),X_128))]]) ).
cnf(refute_0_1476,plain,
( commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128)))) != commutator(multiply(X_163,X_164),X_128)
| multiply(X_128,commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128))))) = multiply(X_128,commutator(multiply(X_163,X_164),X_128)) ),
inference(resolve,[$cnf( $equal(multiply(X_128,commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128))))),multiply(X_128,commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128)))))) )],[refute_0_1474,refute_0_1475]) ).
cnf(refute_0_1477,plain,
multiply(X_128,commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128))))) = multiply(X_128,commutator(multiply(X_163,X_164),X_128)),
inference(resolve,[$cnf( $equal(commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128)))),commutator(multiply(X_163,X_164),X_128)) )],[refute_0_1473,refute_0_1476]) ).
cnf(refute_0_1478,plain,
inverse(multiply(X_128,commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128)))))) = inverse(multiply(X_128,commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128)))))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_128,commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128)))))))]]) ).
cnf(refute_0_1479,plain,
( multiply(X_128,commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128))))) != multiply(X_128,commutator(multiply(X_163,X_164),X_128))
| inverse(multiply(X_128,commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128)))))) != inverse(multiply(X_128,commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128))))))
| inverse(multiply(X_128,commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128)))))) = inverse(multiply(X_128,commutator(multiply(X_163,X_164),X_128))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_128,commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128)))))),inverse(multiply(X_128,commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128))))))) ),[1,0],$fot(multiply(X_128,commutator(multiply(X_163,X_164),X_128)))]]) ).
cnf(refute_0_1480,plain,
( multiply(X_128,commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128))))) != multiply(X_128,commutator(multiply(X_163,X_164),X_128))
| inverse(multiply(X_128,commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128)))))) = inverse(multiply(X_128,commutator(multiply(X_163,X_164),X_128))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_128,commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128)))))),inverse(multiply(X_128,commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128))))))) )],[refute_0_1478,refute_0_1479]) ).
cnf(refute_0_1481,plain,
inverse(multiply(X_128,commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128)))))) = inverse(multiply(X_128,commutator(multiply(X_163,X_164),X_128))),
inference(resolve,[$cnf( $equal(multiply(X_128,commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128))))),multiply(X_128,commutator(multiply(X_163,X_164),X_128))) )],[refute_0_1477,refute_0_1480]) ).
cnf(refute_0_1482,plain,
( inverse(multiply(X_128,commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128)))))) != multiply(inverse(inverse(multiply(X_163,X_164))),inverse(multiply(X_163,multiply(X_164,X_128))))
| inverse(multiply(X_128,commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128)))))) != inverse(multiply(X_128,commutator(multiply(X_163,X_164),X_128)))
| inverse(multiply(X_128,commutator(multiply(X_163,X_164),X_128))) = multiply(inverse(inverse(multiply(X_163,X_164))),inverse(multiply(X_163,multiply(X_164,X_128)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_128,commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128)))))),multiply(inverse(inverse(multiply(X_163,X_164))),inverse(multiply(X_163,multiply(X_164,X_128))))) ),[0],$fot(inverse(multiply(X_128,commutator(multiply(X_163,X_164),X_128))))]]) ).
cnf(refute_0_1483,plain,
( inverse(multiply(X_128,commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128)))))) != multiply(inverse(inverse(multiply(X_163,X_164))),inverse(multiply(X_163,multiply(X_164,X_128))))
| inverse(multiply(X_128,commutator(multiply(X_163,X_164),X_128))) = multiply(inverse(inverse(multiply(X_163,X_164))),inverse(multiply(X_163,multiply(X_164,X_128)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_128,commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128)))))),inverse(multiply(X_128,commutator(multiply(X_163,X_164),X_128)))) )],[refute_0_1481,refute_0_1482]) ).
cnf(refute_0_1484,plain,
multiply(multiply(X_163,X_164),inverse(multiply(X_163,multiply(X_164,X_128)))) = multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X_128))))),
inference(subst,[],[associativity:[bind(X,$fot(X_163)),bind(Y,$fot(X_164)),bind(Z,$fot(inverse(multiply(X_163,multiply(X_164,X_128)))))]]) ).
cnf(refute_0_1485,plain,
inverse(multiply(multiply(X_163,multiply(X_164,X_128)),inverse(multiply(X_163,X_164)))) = multiply(multiply(X_163,X_164),inverse(multiply(X_163,multiply(X_164,X_128)))),
inference(subst,[],[refute_0_180:[bind(X,$fot(multiply(X_163,X_164))),bind(X_58,$fot(multiply(X_163,multiply(X_164,X_128))))]]) ).
cnf(refute_0_1486,plain,
( multiply(multiply(X_163,X_164),inverse(multiply(X_163,multiply(X_164,X_128)))) != multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X_128)))))
| inverse(multiply(multiply(X_163,multiply(X_164,X_128)),inverse(multiply(X_163,X_164)))) != multiply(multiply(X_163,X_164),inverse(multiply(X_163,multiply(X_164,X_128))))
| inverse(multiply(multiply(X_163,multiply(X_164,X_128)),inverse(multiply(X_163,X_164)))) = multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X_128))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(multiply(X_163,multiply(X_164,X_128)),inverse(multiply(X_163,X_164)))))),bind(Y0,$fot(multiply(multiply(X_163,X_164),inverse(multiply(X_163,multiply(X_164,X_128)))))),bind(Z0,$fot(multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X_128)))))))]]) ).
cnf(refute_0_1487,plain,
( multiply(multiply(X_163,X_164),inverse(multiply(X_163,multiply(X_164,X_128)))) != multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X_128)))))
| inverse(multiply(multiply(X_163,multiply(X_164,X_128)),inverse(multiply(X_163,X_164)))) = multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X_128))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_163,multiply(X_164,X_128)),inverse(multiply(X_163,X_164)))),multiply(multiply(X_163,X_164),inverse(multiply(X_163,multiply(X_164,X_128))))) )],[refute_0_1485,refute_0_1486]) ).
cnf(refute_0_1488,plain,
inverse(multiply(multiply(X_163,multiply(X_164,X_128)),inverse(multiply(X_163,X_164)))) = multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X_128))))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_163,X_164),inverse(multiply(X_163,multiply(X_164,X_128)))),multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X_128)))))) )],[refute_0_1484,refute_0_1487]) ).
cnf(refute_0_1489,plain,
multiply(inverse(inverse(multiply(X_163,X_164))),inverse(multiply(X_163,multiply(X_164,X_128)))) = inverse(multiply(multiply(X_163,multiply(X_164,X_128)),inverse(multiply(X_163,X_164)))),
inference(subst,[],[refute_0_257:[bind(X_10,$fot(inverse(multiply(X_163,X_164)))),bind(X_58,$fot(multiply(X_163,multiply(X_164,X_128))))]]) ).
cnf(refute_0_1490,plain,
( multiply(inverse(inverse(multiply(X_163,X_164))),inverse(multiply(X_163,multiply(X_164,X_128)))) != inverse(multiply(multiply(X_163,multiply(X_164,X_128)),inverse(multiply(X_163,X_164))))
| inverse(multiply(multiply(X_163,multiply(X_164,X_128)),inverse(multiply(X_163,X_164)))) != multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X_128)))))
| multiply(inverse(inverse(multiply(X_163,X_164))),inverse(multiply(X_163,multiply(X_164,X_128)))) = multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X_128))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(inverse(multiply(X_163,X_164))),inverse(multiply(X_163,multiply(X_164,X_128)))))),bind(Y0,$fot(inverse(multiply(multiply(X_163,multiply(X_164,X_128)),inverse(multiply(X_163,X_164)))))),bind(Z0,$fot(multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X_128)))))))]]) ).
cnf(refute_0_1491,plain,
( inverse(multiply(multiply(X_163,multiply(X_164,X_128)),inverse(multiply(X_163,X_164)))) != multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X_128)))))
| multiply(inverse(inverse(multiply(X_163,X_164))),inverse(multiply(X_163,multiply(X_164,X_128)))) = multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X_128))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_163,X_164))),inverse(multiply(X_163,multiply(X_164,X_128)))),inverse(multiply(multiply(X_163,multiply(X_164,X_128)),inverse(multiply(X_163,X_164))))) )],[refute_0_1489,refute_0_1490]) ).
cnf(refute_0_1492,plain,
multiply(inverse(inverse(multiply(X_163,X_164))),inverse(multiply(X_163,multiply(X_164,X_128)))) = multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X_128))))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_163,multiply(X_164,X_128)),inverse(multiply(X_163,X_164)))),multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X_128)))))) )],[refute_0_1488,refute_0_1491]) ).
cnf(refute_0_1493,plain,
( multiply(inverse(inverse(multiply(X_163,X_164))),inverse(multiply(X_163,multiply(X_164,X_128)))) != multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X_128)))))
| inverse(multiply(X_128,commutator(multiply(X_163,X_164),X_128))) != multiply(inverse(inverse(multiply(X_163,X_164))),inverse(multiply(X_163,multiply(X_164,X_128))))
| inverse(multiply(X_128,commutator(multiply(X_163,X_164),X_128))) = multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X_128))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_128,commutator(multiply(X_163,X_164),X_128))),multiply(inverse(inverse(multiply(X_163,X_164))),inverse(multiply(X_163,multiply(X_164,X_128))))) ),[1],$fot(multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X_128))))))]]) ).
cnf(refute_0_1494,plain,
( inverse(multiply(X_128,commutator(multiply(X_163,X_164),X_128))) != multiply(inverse(inverse(multiply(X_163,X_164))),inverse(multiply(X_163,multiply(X_164,X_128))))
| inverse(multiply(X_128,commutator(multiply(X_163,X_164),X_128))) = multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X_128))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_163,X_164))),inverse(multiply(X_163,multiply(X_164,X_128)))),multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X_128)))))) )],[refute_0_1492,refute_0_1493]) ).
cnf(refute_0_1495,plain,
( inverse(multiply(X_128,commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128)))))) != multiply(inverse(inverse(multiply(X_163,X_164))),inverse(multiply(X_163,multiply(X_164,X_128))))
| inverse(multiply(X_128,commutator(multiply(X_163,X_164),X_128))) = multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X_128))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_128,commutator(multiply(X_163,X_164),X_128))),multiply(inverse(inverse(multiply(X_163,X_164))),inverse(multiply(X_163,multiply(X_164,X_128))))) )],[refute_0_1483,refute_0_1494]) ).
cnf(refute_0_1496,plain,
inverse(multiply(X_128,commutator(multiply(X_163,X_164),X_128))) = multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X_128))))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_128,commutator(X_128,inverse(multiply(X_163,multiply(X_164,X_128)))))),multiply(inverse(inverse(multiply(X_163,X_164))),inverse(multiply(X_163,multiply(X_164,X_128))))) )],[refute_0_1371,refute_0_1495]) ).
cnf(refute_0_1497,plain,
( inverse(multiply(X_128,commutator(multiply(X_163,X_164),X_128))) != multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X_128)))))
| multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X_128))))) = inverse(multiply(X_128,commutator(multiply(X_163,X_164),X_128))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(inverse(multiply(X_128,commutator(multiply(X_163,X_164),X_128))))),bind(Y0,$fot(multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X_128)))))))]]) ).
cnf(refute_0_1498,plain,
multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X_128))))) = inverse(multiply(X_128,commutator(multiply(X_163,X_164),X_128))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_128,commutator(multiply(X_163,X_164),X_128))),multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X_128)))))) )],[refute_0_1496,refute_0_1497]) ).
cnf(refute_0_1499,plain,
multiply(X_180,multiply(X_181,inverse(multiply(X_180,multiply(X_181,commutator(X_180,X_181)))))) = inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181)))),
inference(subst,[],[refute_0_1498:[bind(X_128,$fot(commutator(X_180,X_181))),bind(X_163,$fot(X_180)),bind(X_164,$fot(X_181))]]) ).
cnf(refute_0_1500,plain,
multiply(multiply(X_180,X_181),inverse(multiply(X_180,multiply(X_181,commutator(X_180,X_181))))) = multiply(X_180,multiply(X_181,inverse(multiply(X_180,multiply(X_181,commutator(X_180,X_181)))))),
inference(subst,[],[associativity:[bind(X,$fot(X_180)),bind(Y,$fot(X_181)),bind(Z,$fot(inverse(multiply(X_180,multiply(X_181,commutator(X_180,X_181))))))]]) ).
cnf(refute_0_1501,plain,
( multiply(X_180,multiply(X_181,inverse(multiply(X_180,multiply(X_181,commutator(X_180,X_181)))))) != inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181))))
| multiply(multiply(X_180,X_181),inverse(multiply(X_180,multiply(X_181,commutator(X_180,X_181))))) != multiply(X_180,multiply(X_181,inverse(multiply(X_180,multiply(X_181,commutator(X_180,X_181))))))
| multiply(multiply(X_180,X_181),inverse(multiply(X_180,multiply(X_181,commutator(X_180,X_181))))) = inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_180,X_181),inverse(multiply(X_180,multiply(X_181,commutator(X_180,X_181))))))),bind(Y0,$fot(multiply(X_180,multiply(X_181,inverse(multiply(X_180,multiply(X_181,commutator(X_180,X_181)))))))),bind(Z0,$fot(inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181))))))]]) ).
cnf(refute_0_1502,plain,
( multiply(X_180,multiply(X_181,inverse(multiply(X_180,multiply(X_181,commutator(X_180,X_181)))))) != inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181))))
| multiply(multiply(X_180,X_181),inverse(multiply(X_180,multiply(X_181,commutator(X_180,X_181))))) = inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_180,X_181),inverse(multiply(X_180,multiply(X_181,commutator(X_180,X_181))))),multiply(X_180,multiply(X_181,inverse(multiply(X_180,multiply(X_181,commutator(X_180,X_181))))))) )],[refute_0_1500,refute_0_1501]) ).
cnf(refute_0_1503,plain,
multiply(multiply(X_180,X_181),inverse(multiply(X_180,multiply(X_181,commutator(X_180,X_181))))) = inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181)))),
inference(resolve,[$cnf( $equal(multiply(X_180,multiply(X_181,inverse(multiply(X_180,multiply(X_181,commutator(X_180,X_181)))))),inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181))))) )],[refute_0_1499,refute_0_1502]) ).
cnf(refute_0_1504,plain,
inverse(multiply(X_180,multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181))))) = multiply(multiply(X_180,X_181),inverse(multiply(X_180,multiply(X_181,commutator(X_180,X_181))))),
inference(subst,[],[refute_0_860:[bind(X_58,$fot(X_180)),bind(X_89,$fot(multiply(X_180,X_181))),bind(X_90,$fot(multiply(X_181,commutator(X_180,X_181))))]]) ).
cnf(refute_0_1505,plain,
( multiply(multiply(X_180,X_181),inverse(multiply(X_180,multiply(X_181,commutator(X_180,X_181))))) != inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181))))
| inverse(multiply(X_180,multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181))))) != multiply(multiply(X_180,X_181),inverse(multiply(X_180,multiply(X_181,commutator(X_180,X_181)))))
| inverse(multiply(X_180,multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181))))) = inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(X_180,multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181))))))),bind(Y0,$fot(multiply(multiply(X_180,X_181),inverse(multiply(X_180,multiply(X_181,commutator(X_180,X_181))))))),bind(Z0,$fot(inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181))))))]]) ).
cnf(refute_0_1506,plain,
( multiply(multiply(X_180,X_181),inverse(multiply(X_180,multiply(X_181,commutator(X_180,X_181))))) != inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181))))
| inverse(multiply(X_180,multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181))))) = inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_180,multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181))))),multiply(multiply(X_180,X_181),inverse(multiply(X_180,multiply(X_181,commutator(X_180,X_181)))))) )],[refute_0_1504,refute_0_1505]) ).
cnf(refute_0_1507,plain,
inverse(multiply(X_180,multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181))))) = inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_180,X_181),inverse(multiply(X_180,multiply(X_181,commutator(X_180,X_181))))),inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181))))) )],[refute_0_1503,refute_0_1506]) ).
cnf(refute_0_1508,plain,
multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181)))),inverse(X_180)) = inverse(multiply(X_180,multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181))))),
inference(subst,[],[refute_0_257:[bind(X_10,$fot(multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181))))),bind(X_58,$fot(X_180))]]) ).
cnf(refute_0_1509,plain,
( multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181)))),inverse(X_180)) != inverse(multiply(X_180,multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181)))))
| inverse(multiply(X_180,multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181))))) != inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181))))
| multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181)))),inverse(X_180)) = inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181)))),inverse(X_180)))),bind(Y0,$fot(inverse(multiply(X_180,multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181))))))),bind(Z0,$fot(inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181))))))]]) ).
cnf(refute_0_1510,plain,
( inverse(multiply(X_180,multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181))))) != inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181))))
| multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181)))),inverse(X_180)) = inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181)))),inverse(X_180)),inverse(multiply(X_180,multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181)))))) )],[refute_0_1508,refute_0_1509]) ).
cnf(refute_0_1511,plain,
multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181)))),inverse(X_180)) = inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_180,multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181))))),inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181))))) )],[refute_0_1507,refute_0_1510]) ).
cnf(refute_0_1512,plain,
( multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181)))),inverse(X_180)) != inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181))))
| inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181)))) != commutator(X_181,X_180)
| multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181)))),inverse(X_180)) = commutator(X_181,X_180) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181)))),inverse(X_180)))),bind(Y0,$fot(inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181)))))),bind(Z0,$fot(commutator(X_181,X_180)))]]) ).
cnf(refute_0_1513,plain,
( inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181)))) != commutator(X_181,X_180)
| multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181)))),inverse(X_180)) = commutator(X_181,X_180) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181)))),inverse(X_180)),inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181))))) )],[refute_0_1511,refute_0_1512]) ).
cnf(refute_0_1514,plain,
multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181)))),inverse(X_180)) = commutator(X_181,X_180),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_180,X_181),commutator(multiply(X_180,X_181),commutator(X_180,X_181)))),commutator(X_181,X_180)) )],[refute_0_1361,refute_0_1513]) ).
cnf(refute_0_1515,plain,
( multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181)))),inverse(X_180)) != commutator(X_181,X_180)
| commutator(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181)) != multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181)))),inverse(X_180))
| commutator(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181)) = commutator(X_181,X_180) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181)),multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181)))),inverse(X_180))) ),[1],$fot(commutator(X_181,X_180))]]) ).
cnf(refute_0_1516,plain,
( commutator(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181)) != multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181)))),inverse(X_180))
| commutator(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181)) = commutator(X_181,X_180) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181)))),inverse(X_180)),commutator(X_181,X_180)) )],[refute_0_1514,refute_0_1515]) ).
cnf(refute_0_1517,plain,
( commutator(inverse(multiply(X_180,X_181)),multiply(X_181,commutator(X_180,X_181))) != multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181)))),inverse(X_180))
| commutator(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181)) = commutator(X_181,X_180) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181)),multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181)))),inverse(X_180))) )],[refute_0_1106,refute_0_1516]) ).
cnf(refute_0_1518,plain,
commutator(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181)) = commutator(X_181,X_180),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_180,X_181)),multiply(X_181,commutator(X_180,X_181))),multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),inverse(multiply(X_180,X_181)))),inverse(X_180))) )],[refute_0_1103,refute_0_1517]) ).
cnf(refute_0_1519,plain,
( commutator(X_471,commutator(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181))) != multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_471,multiply(multiply(X_180,X_181),commutator(X_471,multiply(X_181,commutator(X_180,X_181))))))),multiply(X_471,multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181))))
| commutator(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181)) != commutator(X_181,X_180)
| commutator(X_471,commutator(X_181,X_180)) = multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_471,multiply(multiply(X_180,X_181),commutator(X_471,multiply(X_181,commutator(X_180,X_181))))))),multiply(X_471,multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_471,commutator(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181))),multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_471,multiply(multiply(X_180,X_181),commutator(X_471,multiply(X_181,commutator(X_180,X_181))))))),multiply(X_471,multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181))))) ),[0,1],$fot(commutator(X_181,X_180))]]) ).
cnf(refute_0_1520,plain,
( commutator(X_471,commutator(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181))) != multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_471,multiply(multiply(X_180,X_181),commutator(X_471,multiply(X_181,commutator(X_180,X_181))))))),multiply(X_471,multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181))))
| commutator(X_471,commutator(X_181,X_180)) = multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_471,multiply(multiply(X_180,X_181),commutator(X_471,multiply(X_181,commutator(X_180,X_181))))))),multiply(X_471,multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181)))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181)),commutator(X_181,X_180)) )],[refute_0_1518,refute_0_1519]) ).
cnf(refute_0_1521,plain,
commutator(X_471,commutator(X_181,X_180)) = multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_471,multiply(multiply(X_180,X_181),commutator(X_471,multiply(X_181,commutator(X_180,X_181))))))),multiply(X_471,multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181)))),
inference(resolve,[$cnf( $equal(commutator(X_471,commutator(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181))),multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_471,multiply(multiply(X_180,X_181),commutator(X_471,multiply(X_181,commutator(X_180,X_181))))))),multiply(X_471,multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181))))) )],[refute_0_1051,refute_0_1520]) ).
cnf(refute_0_1522,plain,
commutator(multiply(X_135,commutator(multiply(X_167,commutator(X_167,X_135)),X_135)),multiply(X_167,commutator(X_167,X_135))) = commutator(X_135,multiply(X_167,commutator(X_167,X_135))),
inference(subst,[],[refute_0_960:[bind(X_10,$fot(multiply(X_167,commutator(X_167,X_135))))]]) ).
cnf(refute_0_1523,plain,
commutator(inverse(X_127),multiply(inverse(X_127),multiply(X_128,X_127))) = commutator(inverse(X_127),multiply(X_128,X_127)),
inference(subst,[],[refute_0_455:[bind(X_10,$fot(inverse(X_127))),bind(X_11,$fot(multiply(X_128,X_127)))]]) ).
cnf(refute_0_1524,plain,
( multiply(inverse(X_127),multiply(X_128,X_127)) != multiply(X_128,commutator(X_128,X_127))
| commutator(inverse(X_127),multiply(inverse(X_127),multiply(X_128,X_127))) != commutator(inverse(X_127),multiply(X_128,X_127))
| commutator(inverse(X_127),multiply(X_128,commutator(X_128,X_127))) = commutator(inverse(X_127),multiply(X_128,X_127)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(X_127),multiply(inverse(X_127),multiply(X_128,X_127))),commutator(inverse(X_127),multiply(X_128,X_127))) ),[0,1],$fot(multiply(X_128,commutator(X_128,X_127)))]]) ).
cnf(refute_0_1525,plain,
( commutator(inverse(X_127),multiply(inverse(X_127),multiply(X_128,X_127))) != commutator(inverse(X_127),multiply(X_128,X_127))
| commutator(inverse(X_127),multiply(X_128,commutator(X_128,X_127))) = commutator(inverse(X_127),multiply(X_128,X_127)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_127),multiply(X_128,X_127)),multiply(X_128,commutator(X_128,X_127))) )],[refute_0_803,refute_0_1524]) ).
cnf(refute_0_1526,plain,
commutator(inverse(X_127),multiply(X_128,commutator(X_128,X_127))) = commutator(inverse(X_127),multiply(X_128,X_127)),
inference(resolve,[$cnf( $equal(commutator(inverse(X_127),multiply(inverse(X_127),multiply(X_128,X_127))),commutator(inverse(X_127),multiply(X_128,X_127))) )],[refute_0_1523,refute_0_1525]) ).
cnf(refute_0_1527,plain,
commutator(inverse(X_127),multiply(X_128,commutator(X_128,X_127))) = commutator(multiply(X_128,commutator(X_128,X_127)),X_127),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(X_127)),bind(X_110,$fot(multiply(X_128,commutator(X_128,X_127))))]]) ).
cnf(refute_0_1528,plain,
( commutator(inverse(X_127),multiply(X_128,commutator(X_128,X_127))) != commutator(multiply(X_128,commutator(X_128,X_127)),X_127)
| commutator(inverse(X_127),multiply(X_128,commutator(X_128,X_127))) != commutator(inverse(X_127),multiply(X_128,X_127))
| commutator(multiply(X_128,commutator(X_128,X_127)),X_127) = commutator(inverse(X_127),multiply(X_128,X_127)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(X_127),multiply(X_128,commutator(X_128,X_127))),commutator(inverse(X_127),multiply(X_128,X_127))) ),[0],$fot(commutator(multiply(X_128,commutator(X_128,X_127)),X_127))]]) ).
cnf(refute_0_1529,plain,
( commutator(inverse(X_127),multiply(X_128,commutator(X_128,X_127))) != commutator(inverse(X_127),multiply(X_128,X_127))
| commutator(multiply(X_128,commutator(X_128,X_127)),X_127) = commutator(inverse(X_127),multiply(X_128,X_127)) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_127),multiply(X_128,commutator(X_128,X_127))),commutator(multiply(X_128,commutator(X_128,X_127)),X_127)) )],[refute_0_1527,refute_0_1528]) ).
cnf(refute_0_1530,plain,
commutator(inverse(multiply(X_86,X_10)),multiply(inverse(multiply(X_86,X_10)),X_86)) = commutator(inverse(multiply(X_86,X_10)),X_86),
inference(subst,[],[refute_0_455:[bind(X_10,$fot(inverse(multiply(X_86,X_10)))),bind(X_11,$fot(X_86))]]) ).
cnf(refute_0_1531,plain,
multiply(inverse(multiply(X_86,X_10)),X_86) = inverse(X_10),
inference(subst,[],[refute_0_208:[bind(X_58,$fot(X_86))]]) ).
cnf(refute_0_1532,plain,
( multiply(inverse(multiply(X_86,X_10)),X_86) != inverse(X_10)
| commutator(inverse(multiply(X_86,X_10)),multiply(inverse(multiply(X_86,X_10)),X_86)) != commutator(inverse(multiply(X_86,X_10)),X_86)
| commutator(inverse(multiply(X_86,X_10)),inverse(X_10)) = commutator(inverse(multiply(X_86,X_10)),X_86) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(multiply(X_86,X_10)),multiply(inverse(multiply(X_86,X_10)),X_86)),commutator(inverse(multiply(X_86,X_10)),X_86)) ),[0,1],$fot(inverse(X_10))]]) ).
cnf(refute_0_1533,plain,
( commutator(inverse(multiply(X_86,X_10)),multiply(inverse(multiply(X_86,X_10)),X_86)) != commutator(inverse(multiply(X_86,X_10)),X_86)
| commutator(inverse(multiply(X_86,X_10)),inverse(X_10)) = commutator(inverse(multiply(X_86,X_10)),X_86) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_86,X_10)),X_86),inverse(X_10)) )],[refute_0_1531,refute_0_1532]) ).
cnf(refute_0_1534,plain,
commutator(inverse(multiply(X_86,X_10)),inverse(X_10)) = commutator(inverse(multiply(X_86,X_10)),X_86),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_86,X_10)),multiply(inverse(multiply(X_86,X_10)),X_86)),commutator(inverse(multiply(X_86,X_10)),X_86)) )],[refute_0_1530,refute_0_1533]) ).
cnf(refute_0_1535,plain,
commutator(inverse(multiply(Y,X_60)),Y) = multiply(inverse(inverse(multiply(Y,X_60))),multiply(inverse(Y),multiply(inverse(multiply(Y,X_60)),Y))),
inference(subst,[],[name:[bind(X,$fot(inverse(multiply(Y,X_60))))]]) ).
cnf(refute_0_1536,plain,
multiply(inverse(multiply(Y,X_60)),Y) = inverse(X_60),
inference(subst,[],[refute_0_208:[bind(X_10,$fot(X_60)),bind(X_58,$fot(Y))]]) ).
cnf(refute_0_1537,plain,
( multiply(inverse(multiply(Y,X_60)),Y) != inverse(X_60)
| commutator(inverse(multiply(Y,X_60)),Y) != multiply(inverse(inverse(multiply(Y,X_60))),multiply(inverse(Y),multiply(inverse(multiply(Y,X_60)),Y)))
| commutator(inverse(multiply(Y,X_60)),Y) = multiply(inverse(inverse(multiply(Y,X_60))),multiply(inverse(Y),inverse(X_60))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(multiply(Y,X_60)),Y),multiply(inverse(inverse(multiply(Y,X_60))),multiply(inverse(Y),multiply(inverse(multiply(Y,X_60)),Y)))) ),[1,1,1],$fot(inverse(X_60))]]) ).
cnf(refute_0_1538,plain,
( commutator(inverse(multiply(Y,X_60)),Y) != multiply(inverse(inverse(multiply(Y,X_60))),multiply(inverse(Y),multiply(inverse(multiply(Y,X_60)),Y)))
| commutator(inverse(multiply(Y,X_60)),Y) = multiply(inverse(inverse(multiply(Y,X_60))),multiply(inverse(Y),inverse(X_60))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(Y,X_60)),Y),inverse(X_60)) )],[refute_0_1536,refute_0_1537]) ).
cnf(refute_0_1539,plain,
commutator(inverse(multiply(Y,X_60)),Y) = multiply(inverse(inverse(multiply(Y,X_60))),multiply(inverse(Y),inverse(X_60))),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(Y,X_60)),Y),multiply(inverse(inverse(multiply(Y,X_60))),multiply(inverse(Y),multiply(inverse(multiply(Y,X_60)),Y)))) )],[refute_0_1535,refute_0_1538]) ).
cnf(refute_0_1540,plain,
multiply(Y,multiply(X_60,inverse(multiply(X_60,Y)))) = commutator(inverse(Y),inverse(X_60)),
inference(subst,[],[refute_0_1228:[bind(X_27,$fot(X_60)),bind(X_41,$fot(Y))]]) ).
cnf(refute_0_1541,plain,
multiply(multiply(Y,X_60),inverse(multiply(X_60,Y))) = multiply(Y,multiply(X_60,inverse(multiply(X_60,Y)))),
inference(subst,[],[associativity:[bind(X,$fot(Y)),bind(Y,$fot(X_60)),bind(Z,$fot(inverse(multiply(X_60,Y))))]]) ).
cnf(refute_0_1542,plain,
( multiply(Y,multiply(X_60,inverse(multiply(X_60,Y)))) != commutator(inverse(Y),inverse(X_60))
| multiply(multiply(Y,X_60),inverse(multiply(X_60,Y))) != multiply(Y,multiply(X_60,inverse(multiply(X_60,Y))))
| multiply(multiply(Y,X_60),inverse(multiply(X_60,Y))) = commutator(inverse(Y),inverse(X_60)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(Y,X_60),inverse(multiply(X_60,Y))))),bind(Y0,$fot(multiply(Y,multiply(X_60,inverse(multiply(X_60,Y)))))),bind(Z0,$fot(commutator(inverse(Y),inverse(X_60))))]]) ).
cnf(refute_0_1543,plain,
( multiply(Y,multiply(X_60,inverse(multiply(X_60,Y)))) != commutator(inverse(Y),inverse(X_60))
| multiply(multiply(Y,X_60),inverse(multiply(X_60,Y))) = commutator(inverse(Y),inverse(X_60)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,X_60),inverse(multiply(X_60,Y))),multiply(Y,multiply(X_60,inverse(multiply(X_60,Y))))) )],[refute_0_1541,refute_0_1542]) ).
cnf(refute_0_1544,plain,
multiply(multiply(Y,X_60),inverse(multiply(X_60,Y))) = commutator(inverse(Y),inverse(X_60)),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(X_60,inverse(multiply(X_60,Y)))),commutator(inverse(Y),inverse(X_60))) )],[refute_0_1540,refute_0_1543]) ).
cnf(refute_0_1545,plain,
multiply(inverse(Y),inverse(X_60)) = inverse(multiply(X_60,Y)),
inference(subst,[],[refute_0_257:[bind(X_10,$fot(Y)),bind(X_58,$fot(X_60))]]) ).
cnf(refute_0_1546,plain,
multiply(multiply(Y,X_60),multiply(inverse(Y),inverse(X_60))) = multiply(multiply(Y,X_60),multiply(inverse(Y),inverse(X_60))),
introduced(tautology,[refl,[$fot(multiply(multiply(Y,X_60),multiply(inverse(Y),inverse(X_60))))]]) ).
cnf(refute_0_1547,plain,
( multiply(multiply(Y,X_60),multiply(inverse(Y),inverse(X_60))) != multiply(multiply(Y,X_60),multiply(inverse(Y),inverse(X_60)))
| multiply(inverse(Y),inverse(X_60)) != inverse(multiply(X_60,Y))
| multiply(multiply(Y,X_60),multiply(inverse(Y),inverse(X_60))) = multiply(multiply(Y,X_60),inverse(multiply(X_60,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(Y,X_60),multiply(inverse(Y),inverse(X_60))),multiply(multiply(Y,X_60),multiply(inverse(Y),inverse(X_60)))) ),[1,1],$fot(inverse(multiply(X_60,Y)))]]) ).
cnf(refute_0_1548,plain,
( multiply(inverse(Y),inverse(X_60)) != inverse(multiply(X_60,Y))
| multiply(multiply(Y,X_60),multiply(inverse(Y),inverse(X_60))) = multiply(multiply(Y,X_60),inverse(multiply(X_60,Y))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,X_60),multiply(inverse(Y),inverse(X_60))),multiply(multiply(Y,X_60),multiply(inverse(Y),inverse(X_60)))) )],[refute_0_1546,refute_0_1547]) ).
cnf(refute_0_1549,plain,
multiply(multiply(Y,X_60),multiply(inverse(Y),inverse(X_60))) = multiply(multiply(Y,X_60),inverse(multiply(X_60,Y))),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),inverse(X_60)),inverse(multiply(X_60,Y))) )],[refute_0_1545,refute_0_1548]) ).
cnf(refute_0_1550,plain,
inverse(inverse(multiply(Y,X_60))) = multiply(Y,X_60),
inference(subst,[],[refute_0_152:[bind(X_27,$fot(multiply(Y,X_60)))]]) ).
cnf(refute_0_1551,plain,
multiply(inverse(inverse(multiply(Y,X_60))),multiply(inverse(Y),inverse(X_60))) = multiply(inverse(inverse(multiply(Y,X_60))),multiply(inverse(Y),inverse(X_60))),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(multiply(Y,X_60))),multiply(inverse(Y),inverse(X_60))))]]) ).
cnf(refute_0_1552,plain,
( multiply(inverse(inverse(multiply(Y,X_60))),multiply(inverse(Y),inverse(X_60))) != multiply(inverse(inverse(multiply(Y,X_60))),multiply(inverse(Y),inverse(X_60)))
| inverse(inverse(multiply(Y,X_60))) != multiply(Y,X_60)
| multiply(inverse(inverse(multiply(Y,X_60))),multiply(inverse(Y),inverse(X_60))) = multiply(multiply(Y,X_60),multiply(inverse(Y),inverse(X_60))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(multiply(Y,X_60))),multiply(inverse(Y),inverse(X_60))),multiply(inverse(inverse(multiply(Y,X_60))),multiply(inverse(Y),inverse(X_60)))) ),[1,0],$fot(multiply(Y,X_60))]]) ).
cnf(refute_0_1553,plain,
( inverse(inverse(multiply(Y,X_60))) != multiply(Y,X_60)
| multiply(inverse(inverse(multiply(Y,X_60))),multiply(inverse(Y),inverse(X_60))) = multiply(multiply(Y,X_60),multiply(inverse(Y),inverse(X_60))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(Y,X_60))),multiply(inverse(Y),inverse(X_60))),multiply(inverse(inverse(multiply(Y,X_60))),multiply(inverse(Y),inverse(X_60)))) )],[refute_0_1551,refute_0_1552]) ).
cnf(refute_0_1554,plain,
multiply(inverse(inverse(multiply(Y,X_60))),multiply(inverse(Y),inverse(X_60))) = multiply(multiply(Y,X_60),multiply(inverse(Y),inverse(X_60))),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(Y,X_60))),multiply(Y,X_60)) )],[refute_0_1550,refute_0_1553]) ).
cnf(refute_0_1555,plain,
( multiply(multiply(Y,X_60),multiply(inverse(Y),inverse(X_60))) != multiply(multiply(Y,X_60),inverse(multiply(X_60,Y)))
| multiply(inverse(inverse(multiply(Y,X_60))),multiply(inverse(Y),inverse(X_60))) != multiply(multiply(Y,X_60),multiply(inverse(Y),inverse(X_60)))
| multiply(inverse(inverse(multiply(Y,X_60))),multiply(inverse(Y),inverse(X_60))) = multiply(multiply(Y,X_60),inverse(multiply(X_60,Y))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(inverse(multiply(Y,X_60))),multiply(inverse(Y),inverse(X_60))))),bind(Y0,$fot(multiply(multiply(Y,X_60),multiply(inverse(Y),inverse(X_60))))),bind(Z0,$fot(multiply(multiply(Y,X_60),inverse(multiply(X_60,Y)))))]]) ).
cnf(refute_0_1556,plain,
( multiply(multiply(Y,X_60),multiply(inverse(Y),inverse(X_60))) != multiply(multiply(Y,X_60),inverse(multiply(X_60,Y)))
| multiply(inverse(inverse(multiply(Y,X_60))),multiply(inverse(Y),inverse(X_60))) = multiply(multiply(Y,X_60),inverse(multiply(X_60,Y))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(Y,X_60))),multiply(inverse(Y),inverse(X_60))),multiply(multiply(Y,X_60),multiply(inverse(Y),inverse(X_60)))) )],[refute_0_1554,refute_0_1555]) ).
cnf(refute_0_1557,plain,
multiply(inverse(inverse(multiply(Y,X_60))),multiply(inverse(Y),inverse(X_60))) = multiply(multiply(Y,X_60),inverse(multiply(X_60,Y))),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,X_60),multiply(inverse(Y),inverse(X_60))),multiply(multiply(Y,X_60),inverse(multiply(X_60,Y)))) )],[refute_0_1549,refute_0_1556]) ).
cnf(refute_0_1558,plain,
( multiply(multiply(Y,X_60),inverse(multiply(X_60,Y))) != commutator(inverse(Y),inverse(X_60))
| multiply(inverse(inverse(multiply(Y,X_60))),multiply(inverse(Y),inverse(X_60))) != multiply(multiply(Y,X_60),inverse(multiply(X_60,Y)))
| multiply(inverse(inverse(multiply(Y,X_60))),multiply(inverse(Y),inverse(X_60))) = commutator(inverse(Y),inverse(X_60)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(inverse(multiply(Y,X_60))),multiply(inverse(Y),inverse(X_60))))),bind(Y0,$fot(multiply(multiply(Y,X_60),inverse(multiply(X_60,Y))))),bind(Z0,$fot(commutator(inverse(Y),inverse(X_60))))]]) ).
cnf(refute_0_1559,plain,
( multiply(multiply(Y,X_60),inverse(multiply(X_60,Y))) != commutator(inverse(Y),inverse(X_60))
| multiply(inverse(inverse(multiply(Y,X_60))),multiply(inverse(Y),inverse(X_60))) = commutator(inverse(Y),inverse(X_60)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(Y,X_60))),multiply(inverse(Y),inverse(X_60))),multiply(multiply(Y,X_60),inverse(multiply(X_60,Y)))) )],[refute_0_1557,refute_0_1558]) ).
cnf(refute_0_1560,plain,
multiply(inverse(inverse(multiply(Y,X_60))),multiply(inverse(Y),inverse(X_60))) = commutator(inverse(Y),inverse(X_60)),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,X_60),inverse(multiply(X_60,Y))),commutator(inverse(Y),inverse(X_60))) )],[refute_0_1544,refute_0_1559]) ).
cnf(refute_0_1561,plain,
( multiply(inverse(inverse(multiply(Y,X_60))),multiply(inverse(Y),inverse(X_60))) != commutator(inverse(Y),inverse(X_60))
| commutator(inverse(multiply(Y,X_60)),Y) != multiply(inverse(inverse(multiply(Y,X_60))),multiply(inverse(Y),inverse(X_60)))
| commutator(inverse(multiply(Y,X_60)),Y) = commutator(inverse(Y),inverse(X_60)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(multiply(Y,X_60)),Y),multiply(inverse(inverse(multiply(Y,X_60))),multiply(inverse(Y),inverse(X_60)))) ),[1],$fot(commutator(inverse(Y),inverse(X_60)))]]) ).
cnf(refute_0_1562,plain,
( commutator(inverse(multiply(Y,X_60)),Y) != multiply(inverse(inverse(multiply(Y,X_60))),multiply(inverse(Y),inverse(X_60)))
| commutator(inverse(multiply(Y,X_60)),Y) = commutator(inverse(Y),inverse(X_60)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(Y,X_60))),multiply(inverse(Y),inverse(X_60))),commutator(inverse(Y),inverse(X_60))) )],[refute_0_1560,refute_0_1561]) ).
cnf(refute_0_1563,plain,
commutator(inverse(multiply(Y,X_60)),Y) = commutator(inverse(Y),inverse(X_60)),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(Y,X_60)),Y),multiply(inverse(inverse(multiply(Y,X_60))),multiply(inverse(Y),inverse(X_60)))) )],[refute_0_1539,refute_0_1562]) ).
cnf(refute_0_1564,plain,
commutator(inverse(multiply(X_86,X_10)),X_86) = commutator(inverse(X_86),inverse(X_10)),
inference(subst,[],[refute_0_1563:[bind(Y,$fot(X_86)),bind(X_60,$fot(X_10))]]) ).
cnf(refute_0_1565,plain,
( commutator(inverse(multiply(X_86,X_10)),X_86) != commutator(inverse(X_86),inverse(X_10))
| commutator(inverse(multiply(X_86,X_10)),inverse(X_10)) != commutator(inverse(multiply(X_86,X_10)),X_86)
| commutator(inverse(multiply(X_86,X_10)),inverse(X_10)) = commutator(inverse(X_86),inverse(X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(multiply(X_86,X_10)),inverse(X_10)),commutator(inverse(multiply(X_86,X_10)),X_86)) ),[1],$fot(commutator(inverse(X_86),inverse(X_10)))]]) ).
cnf(refute_0_1566,plain,
( commutator(inverse(multiply(X_86,X_10)),inverse(X_10)) != commutator(inverse(multiply(X_86,X_10)),X_86)
| commutator(inverse(multiply(X_86,X_10)),inverse(X_10)) = commutator(inverse(X_86),inverse(X_10)) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_86,X_10)),X_86),commutator(inverse(X_86),inverse(X_10))) )],[refute_0_1564,refute_0_1565]) ).
cnf(refute_0_1567,plain,
commutator(inverse(multiply(X_86,X_10)),inverse(X_10)) = commutator(inverse(X_86),inverse(X_10)),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_86,X_10)),inverse(X_10)),commutator(inverse(multiply(X_86,X_10)),X_86)) )],[refute_0_1534,refute_0_1566]) ).
cnf(refute_0_1568,plain,
commutator(inverse(multiply(X_86,X_10)),inverse(X_10)) = commutator(inverse(X_10),multiply(X_86,X_10)),
inference(subst,[],[refute_0_1309:[bind(X_29,$fot(X_10)),bind(X_89,$fot(multiply(X_86,X_10)))]]) ).
cnf(refute_0_1569,plain,
( commutator(inverse(multiply(X_86,X_10)),inverse(X_10)) != commutator(inverse(X_10),multiply(X_86,X_10))
| commutator(inverse(multiply(X_86,X_10)),inverse(X_10)) != commutator(inverse(X_86),inverse(X_10))
| commutator(inverse(X_10),multiply(X_86,X_10)) = commutator(inverse(X_86),inverse(X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(multiply(X_86,X_10)),inverse(X_10)),commutator(inverse(X_86),inverse(X_10))) ),[0],$fot(commutator(inverse(X_10),multiply(X_86,X_10)))]]) ).
cnf(refute_0_1570,plain,
( commutator(inverse(multiply(X_86,X_10)),inverse(X_10)) != commutator(inverse(X_86),inverse(X_10))
| commutator(inverse(X_10),multiply(X_86,X_10)) = commutator(inverse(X_86),inverse(X_10)) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_86,X_10)),inverse(X_10)),commutator(inverse(X_10),multiply(X_86,X_10))) )],[refute_0_1568,refute_0_1569]) ).
cnf(refute_0_1571,plain,
commutator(inverse(X_86),inverse(X_10)) = commutator(inverse(X_10),X_86),
inference(subst,[],[refute_0_1309:[bind(X_29,$fot(X_10)),bind(X_89,$fot(X_86))]]) ).
cnf(refute_0_1572,plain,
( commutator(inverse(X_10),multiply(X_86,X_10)) != commutator(inverse(X_86),inverse(X_10))
| commutator(inverse(X_86),inverse(X_10)) != commutator(inverse(X_10),X_86)
| commutator(inverse(X_10),multiply(X_86,X_10)) = commutator(inverse(X_10),X_86) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(inverse(X_10),multiply(X_86,X_10)),commutator(inverse(X_10),X_86)) ),[0],$fot(commutator(inverse(X_86),inverse(X_10)))]]) ).
cnf(refute_0_1573,plain,
( commutator(inverse(X_10),multiply(X_86,X_10)) != commutator(inverse(X_86),inverse(X_10))
| commutator(inverse(X_10),multiply(X_86,X_10)) = commutator(inverse(X_10),X_86) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_86),inverse(X_10)),commutator(inverse(X_10),X_86)) )],[refute_0_1571,refute_0_1572]) ).
cnf(refute_0_1574,plain,
( commutator(inverse(multiply(X_86,X_10)),inverse(X_10)) != commutator(inverse(X_86),inverse(X_10))
| commutator(inverse(X_10),multiply(X_86,X_10)) = commutator(inverse(X_10),X_86) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_10),multiply(X_86,X_10)),commutator(inverse(X_86),inverse(X_10))) )],[refute_0_1570,refute_0_1573]) ).
cnf(refute_0_1575,plain,
commutator(inverse(X_10),multiply(X_86,X_10)) = commutator(inverse(X_10),X_86),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_86,X_10)),inverse(X_10)),commutator(inverse(X_86),inverse(X_10))) )],[refute_0_1567,refute_0_1574]) ).
cnf(refute_0_1576,plain,
commutator(inverse(X_10),multiply(X_86,X_10)) = commutator(multiply(X_86,X_10),X_10),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(X_10)),bind(X_110,$fot(multiply(X_86,X_10)))]]) ).
cnf(refute_0_1577,plain,
( commutator(inverse(X_10),multiply(X_86,X_10)) != commutator(multiply(X_86,X_10),X_10)
| commutator(inverse(X_10),multiply(X_86,X_10)) != commutator(inverse(X_10),X_86)
| commutator(multiply(X_86,X_10),X_10) = commutator(inverse(X_10),X_86) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(X_10),multiply(X_86,X_10)),commutator(inverse(X_10),X_86)) ),[0],$fot(commutator(multiply(X_86,X_10),X_10))]]) ).
cnf(refute_0_1578,plain,
( commutator(inverse(X_10),multiply(X_86,X_10)) != commutator(inverse(X_10),X_86)
| commutator(multiply(X_86,X_10),X_10) = commutator(inverse(X_10),X_86) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_10),multiply(X_86,X_10)),commutator(multiply(X_86,X_10),X_10)) )],[refute_0_1576,refute_0_1577]) ).
cnf(refute_0_1579,plain,
commutator(inverse(X_10),X_86) = commutator(X_86,X_10),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(X_10)),bind(X_110,$fot(X_86))]]) ).
cnf(refute_0_1580,plain,
( commutator(multiply(X_86,X_10),X_10) != commutator(inverse(X_10),X_86)
| commutator(inverse(X_10),X_86) != commutator(X_86,X_10)
| commutator(multiply(X_86,X_10),X_10) = commutator(X_86,X_10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(multiply(X_86,X_10),X_10),commutator(X_86,X_10)) ),[0],$fot(commutator(inverse(X_10),X_86))]]) ).
cnf(refute_0_1581,plain,
( commutator(multiply(X_86,X_10),X_10) != commutator(inverse(X_10),X_86)
| commutator(multiply(X_86,X_10),X_10) = commutator(X_86,X_10) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_10),X_86),commutator(X_86,X_10)) )],[refute_0_1579,refute_0_1580]) ).
cnf(refute_0_1582,plain,
( commutator(inverse(X_10),multiply(X_86,X_10)) != commutator(inverse(X_10),X_86)
| commutator(multiply(X_86,X_10),X_10) = commutator(X_86,X_10) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_86,X_10),X_10),commutator(inverse(X_10),X_86)) )],[refute_0_1578,refute_0_1581]) ).
cnf(refute_0_1583,plain,
commutator(multiply(X_86,X_10),X_10) = commutator(X_86,X_10),
inference(resolve,[$cnf( $equal(commutator(inverse(X_10),multiply(X_86,X_10)),commutator(inverse(X_10),X_86)) )],[refute_0_1575,refute_0_1582]) ).
cnf(refute_0_1584,plain,
commutator(multiply(X_128,X_127),X_127) = commutator(X_128,X_127),
inference(subst,[],[refute_0_1583:[bind(X_10,$fot(X_127)),bind(X_86,$fot(X_128))]]) ).
cnf(refute_0_1585,plain,
commutator(inverse(X_127),multiply(X_128,X_127)) = commutator(multiply(X_128,X_127),X_127),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(X_127)),bind(X_110,$fot(multiply(X_128,X_127)))]]) ).
cnf(refute_0_1586,plain,
( commutator(multiply(X_128,X_127),X_127) != commutator(X_128,X_127)
| commutator(inverse(X_127),multiply(X_128,X_127)) != commutator(multiply(X_128,X_127),X_127)
| commutator(inverse(X_127),multiply(X_128,X_127)) = commutator(X_128,X_127) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(inverse(X_127),multiply(X_128,X_127)))),bind(Y0,$fot(commutator(multiply(X_128,X_127),X_127))),bind(Z0,$fot(commutator(X_128,X_127)))]]) ).
cnf(refute_0_1587,plain,
( commutator(multiply(X_128,X_127),X_127) != commutator(X_128,X_127)
| commutator(inverse(X_127),multiply(X_128,X_127)) = commutator(X_128,X_127) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_127),multiply(X_128,X_127)),commutator(multiply(X_128,X_127),X_127)) )],[refute_0_1585,refute_0_1586]) ).
cnf(refute_0_1588,plain,
commutator(inverse(X_127),multiply(X_128,X_127)) = commutator(X_128,X_127),
inference(resolve,[$cnf( $equal(commutator(multiply(X_128,X_127),X_127),commutator(X_128,X_127)) )],[refute_0_1584,refute_0_1587]) ).
cnf(refute_0_1589,plain,
( commutator(multiply(X_128,commutator(X_128,X_127)),X_127) != commutator(inverse(X_127),multiply(X_128,X_127))
| commutator(inverse(X_127),multiply(X_128,X_127)) != commutator(X_128,X_127)
| commutator(multiply(X_128,commutator(X_128,X_127)),X_127) = commutator(X_128,X_127) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(multiply(X_128,commutator(X_128,X_127)),X_127),commutator(X_128,X_127)) ),[0],$fot(commutator(inverse(X_127),multiply(X_128,X_127)))]]) ).
cnf(refute_0_1590,plain,
( commutator(multiply(X_128,commutator(X_128,X_127)),X_127) != commutator(inverse(X_127),multiply(X_128,X_127))
| commutator(multiply(X_128,commutator(X_128,X_127)),X_127) = commutator(X_128,X_127) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_127),multiply(X_128,X_127)),commutator(X_128,X_127)) )],[refute_0_1588,refute_0_1589]) ).
cnf(refute_0_1591,plain,
( commutator(inverse(X_127),multiply(X_128,commutator(X_128,X_127))) != commutator(inverse(X_127),multiply(X_128,X_127))
| commutator(multiply(X_128,commutator(X_128,X_127)),X_127) = commutator(X_128,X_127) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_128,commutator(X_128,X_127)),X_127),commutator(inverse(X_127),multiply(X_128,X_127))) )],[refute_0_1529,refute_0_1590]) ).
cnf(refute_0_1592,plain,
commutator(multiply(X_128,commutator(X_128,X_127)),X_127) = commutator(X_128,X_127),
inference(resolve,[$cnf( $equal(commutator(inverse(X_127),multiply(X_128,commutator(X_128,X_127))),commutator(inverse(X_127),multiply(X_128,X_127))) )],[refute_0_1526,refute_0_1591]) ).
cnf(refute_0_1593,plain,
commutator(multiply(X_167,commutator(X_167,X_135)),X_135) = commutator(X_167,X_135),
inference(subst,[],[refute_0_1592:[bind(X_127,$fot(X_135)),bind(X_128,$fot(X_167))]]) ).
cnf(refute_0_1594,plain,
( commutator(multiply(X_135,commutator(multiply(X_167,commutator(X_167,X_135)),X_135)),multiply(X_167,commutator(X_167,X_135))) != commutator(X_135,multiply(X_167,commutator(X_167,X_135)))
| commutator(multiply(X_167,commutator(X_167,X_135)),X_135) != commutator(X_167,X_135)
| commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_167,commutator(X_167,X_135))) = commutator(X_135,multiply(X_167,commutator(X_167,X_135))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_135,commutator(multiply(X_167,commutator(X_167,X_135)),X_135)),multiply(X_167,commutator(X_167,X_135))),commutator(X_135,multiply(X_167,commutator(X_167,X_135)))) ),[0,0,1],$fot(commutator(X_167,X_135))]]) ).
cnf(refute_0_1595,plain,
( commutator(multiply(X_135,commutator(multiply(X_167,commutator(X_167,X_135)),X_135)),multiply(X_167,commutator(X_167,X_135))) != commutator(X_135,multiply(X_167,commutator(X_167,X_135)))
| commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_167,commutator(X_167,X_135))) = commutator(X_135,multiply(X_167,commutator(X_167,X_135))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_167,commutator(X_167,X_135)),X_135),commutator(X_167,X_135)) )],[refute_0_1593,refute_0_1594]) ).
cnf(refute_0_1596,plain,
commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_167,commutator(X_167,X_135))) = commutator(X_135,multiply(X_167,commutator(X_167,X_135))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_135,commutator(multiply(X_167,commutator(X_167,X_135)),X_135)),multiply(X_167,commutator(X_167,X_135))),commutator(X_135,multiply(X_167,commutator(X_167,X_135)))) )],[refute_0_1522,refute_0_1595]) ).
cnf(refute_0_1597,plain,
commutator(multiply(X_142,inverse(X_141)),X_110) = commutator(X_110,inverse(multiply(X_142,inverse(X_141)))),
inference(subst,[],[refute_0_572:[bind(X_109,$fot(multiply(X_142,inverse(X_141))))]]) ).
cnf(refute_0_1598,plain,
inverse(multiply(X_142,inverse(X_141))) = multiply(X_141,inverse(X_142)),
inference(subst,[],[refute_0_180:[bind(X,$fot(X_141)),bind(X_58,$fot(X_142))]]) ).
cnf(refute_0_1599,plain,
( commutator(multiply(X_142,inverse(X_141)),X_110) != commutator(X_110,inverse(multiply(X_142,inverse(X_141))))
| inverse(multiply(X_142,inverse(X_141))) != multiply(X_141,inverse(X_142))
| commutator(multiply(X_142,inverse(X_141)),X_110) = commutator(X_110,multiply(X_141,inverse(X_142))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_142,inverse(X_141)),X_110),commutator(X_110,inverse(multiply(X_142,inverse(X_141))))) ),[1,1],$fot(multiply(X_141,inverse(X_142)))]]) ).
cnf(refute_0_1600,plain,
( commutator(multiply(X_142,inverse(X_141)),X_110) != commutator(X_110,inverse(multiply(X_142,inverse(X_141))))
| commutator(multiply(X_142,inverse(X_141)),X_110) = commutator(X_110,multiply(X_141,inverse(X_142))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_142,inverse(X_141))),multiply(X_141,inverse(X_142))) )],[refute_0_1598,refute_0_1599]) ).
cnf(refute_0_1601,plain,
commutator(multiply(X_142,inverse(X_141)),X_110) = commutator(X_110,multiply(X_141,inverse(X_142))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_142,inverse(X_141)),X_110),commutator(X_110,inverse(multiply(X_142,inverse(X_141))))) )],[refute_0_1597,refute_0_1600]) ).
cnf(refute_0_1602,plain,
( commutator(multiply(X_142,inverse(X_141)),X_110) != commutator(X_110,multiply(X_141,inverse(X_142)))
| commutator(X_110,multiply(X_141,inverse(X_142))) = commutator(multiply(X_142,inverse(X_141)),X_110) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(multiply(X_142,inverse(X_141)),X_110))),bind(Y0,$fot(commutator(X_110,multiply(X_141,inverse(X_142)))))]]) ).
cnf(refute_0_1603,plain,
commutator(X_110,multiply(X_141,inverse(X_142))) = commutator(multiply(X_142,inverse(X_141)),X_110),
inference(resolve,[$cnf( $equal(commutator(multiply(X_142,inverse(X_141)),X_110),commutator(X_110,multiply(X_141,inverse(X_142)))) )],[refute_0_1601,refute_0_1602]) ).
cnf(refute_0_1604,plain,
commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_167,inverse(X_135))) = commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),
inference(subst,[],[refute_0_1603:[bind(X_110,$fot(multiply(X_135,commutator(X_167,X_135)))),bind(X_141,$fot(X_167)),bind(X_142,$fot(X_135))]]) ).
cnf(refute_0_1605,plain,
commutator(multiply(X_162,X_161),inverse(multiply(X_10,X_161))) = multiply(inverse(multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))),multiply(X_162,multiply(X_161,inverse(multiply(X_10,X_161))))),
inference(subst,[],[refute_0_713:[bind(Y,$fot(inverse(multiply(X_10,X_161)))),bind(X_10,$fot(X_161)),bind(X_9,$fot(X_162))]]) ).
cnf(refute_0_1606,plain,
multiply(X_161,inverse(multiply(X_10,X_161))) = inverse(X_10),
inference(subst,[],[refute_0_176:[bind(X_57,$fot(X_161))]]) ).
cnf(refute_0_1607,plain,
( multiply(X_161,inverse(multiply(X_10,X_161))) != inverse(X_10)
| commutator(multiply(X_162,X_161),inverse(multiply(X_10,X_161))) != multiply(inverse(multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))),multiply(X_162,multiply(X_161,inverse(multiply(X_10,X_161)))))
| commutator(multiply(X_162,X_161),inverse(multiply(X_10,X_161))) = multiply(inverse(multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))),multiply(X_162,inverse(X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_162,X_161),inverse(multiply(X_10,X_161))),multiply(inverse(multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))),multiply(X_162,multiply(X_161,inverse(multiply(X_10,X_161)))))) ),[1,1,1],$fot(inverse(X_10))]]) ).
cnf(refute_0_1608,plain,
( commutator(multiply(X_162,X_161),inverse(multiply(X_10,X_161))) != multiply(inverse(multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))),multiply(X_162,multiply(X_161,inverse(multiply(X_10,X_161)))))
| commutator(multiply(X_162,X_161),inverse(multiply(X_10,X_161))) = multiply(inverse(multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))),multiply(X_162,inverse(X_10))) ),
inference(resolve,[$cnf( $equal(multiply(X_161,inverse(multiply(X_10,X_161))),inverse(X_10)) )],[refute_0_1606,refute_0_1607]) ).
cnf(refute_0_1609,plain,
commutator(multiply(X_162,X_161),inverse(multiply(X_10,X_161))) = multiply(inverse(multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))),multiply(X_162,inverse(X_10))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_162,X_161),inverse(multiply(X_10,X_161))),multiply(inverse(multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))),multiply(X_162,multiply(X_161,inverse(multiply(X_10,X_161)))))) )],[refute_0_1605,refute_0_1608]) ).
cnf(refute_0_1610,plain,
commutator(multiply(X_162,X_161),inverse(multiply(X_10,X_161))) = commutator(multiply(X_10,X_161),multiply(X_162,X_161)),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(multiply(X_10,X_161))),bind(X_110,$fot(multiply(X_162,X_161)))]]) ).
cnf(refute_0_1611,plain,
( commutator(multiply(X_162,X_161),inverse(multiply(X_10,X_161))) != multiply(inverse(multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))),multiply(X_162,inverse(X_10)))
| commutator(multiply(X_162,X_161),inverse(multiply(X_10,X_161))) != commutator(multiply(X_10,X_161),multiply(X_162,X_161))
| commutator(multiply(X_10,X_161),multiply(X_162,X_161)) = multiply(inverse(multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))),multiply(X_162,inverse(X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_162,X_161),inverse(multiply(X_10,X_161))),multiply(inverse(multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))),multiply(X_162,inverse(X_10)))) ),[0],$fot(commutator(multiply(X_10,X_161),multiply(X_162,X_161)))]]) ).
cnf(refute_0_1612,plain,
( commutator(multiply(X_162,X_161),inverse(multiply(X_10,X_161))) != multiply(inverse(multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))),multiply(X_162,inverse(X_10)))
| commutator(multiply(X_10,X_161),multiply(X_162,X_161)) = multiply(inverse(multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))),multiply(X_162,inverse(X_10))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_162,X_161),inverse(multiply(X_10,X_161))),commutator(multiply(X_10,X_161),multiply(X_162,X_161))) )],[refute_0_1610,refute_0_1611]) ).
cnf(refute_0_1613,plain,
inverse(commutator(multiply(X_162,inverse(X_10)),multiply(X_10,X_161))) = commutator(multiply(X_10,X_161),multiply(X_162,inverse(X_10))),
inference(subst,[],[refute_0_386:[bind(X,$fot(multiply(X_10,X_161))),bind(Y,$fot(multiply(X_162,inverse(X_10))))]]) ).
cnf(refute_0_1614,plain,
commutator(multiply(X_162,inverse(X_10)),multiply(X_10,X_11)) = multiply(inverse(multiply(multiply(X_10,X_11),multiply(X_162,inverse(X_10)))),multiply(X_162,multiply(inverse(X_10),multiply(X_10,X_11)))),
inference(subst,[],[refute_0_713:[bind(Y,$fot(multiply(X_10,X_11))),bind(X_10,$fot(inverse(X_10))),bind(X_9,$fot(X_162))]]) ).
cnf(refute_0_1615,plain,
( multiply(inverse(X_10),multiply(X_10,X_11)) != X_11
| commutator(multiply(X_162,inverse(X_10)),multiply(X_10,X_11)) != multiply(inverse(multiply(multiply(X_10,X_11),multiply(X_162,inverse(X_10)))),multiply(X_162,multiply(inverse(X_10),multiply(X_10,X_11))))
| commutator(multiply(X_162,inverse(X_10)),multiply(X_10,X_11)) = multiply(inverse(multiply(multiply(X_10,X_11),multiply(X_162,inverse(X_10)))),multiply(X_162,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_162,inverse(X_10)),multiply(X_10,X_11)),multiply(inverse(multiply(multiply(X_10,X_11),multiply(X_162,inverse(X_10)))),multiply(X_162,multiply(inverse(X_10),multiply(X_10,X_11))))) ),[1,1,1],$fot(X_11)]]) ).
cnf(refute_0_1616,plain,
( commutator(multiply(X_162,inverse(X_10)),multiply(X_10,X_11)) != multiply(inverse(multiply(multiply(X_10,X_11),multiply(X_162,inverse(X_10)))),multiply(X_162,multiply(inverse(X_10),multiply(X_10,X_11))))
| commutator(multiply(X_162,inverse(X_10)),multiply(X_10,X_11)) = multiply(inverse(multiply(multiply(X_10,X_11),multiply(X_162,inverse(X_10)))),multiply(X_162,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),multiply(X_10,X_11)),X_11) )],[refute_0_39,refute_0_1615]) ).
cnf(refute_0_1617,plain,
commutator(multiply(X_162,inverse(X_10)),multiply(X_10,X_11)) = multiply(inverse(multiply(multiply(X_10,X_11),multiply(X_162,inverse(X_10)))),multiply(X_162,X_11)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_162,inverse(X_10)),multiply(X_10,X_11)),multiply(inverse(multiply(multiply(X_10,X_11),multiply(X_162,inverse(X_10)))),multiply(X_162,multiply(inverse(X_10),multiply(X_10,X_11))))) )],[refute_0_1614,refute_0_1616]) ).
cnf(refute_0_1618,plain,
multiply(multiply(X_10,inverse(multiply(X_10,multiply(X_11,X_162)))),multiply(X_162,X_11)) = multiply(X_10,multiply(inverse(multiply(X_10,multiply(X_11,X_162))),multiply(X_162,X_11))),
inference(subst,[],[associativity:[bind(X,$fot(X_10)),bind(Y,$fot(inverse(multiply(X_10,multiply(X_11,X_162))))),bind(Z,$fot(multiply(X_162,X_11)))]]) ).
cnf(refute_0_1619,plain,
multiply(multiply(X_10,X_11),X_162) = multiply(X_10,multiply(X_11,X_162)),
inference(subst,[],[associativity:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(X_162))]]) ).
cnf(refute_0_1620,plain,
inverse(multiply(multiply(X_10,X_11),X_162)) = inverse(multiply(multiply(X_10,X_11),X_162)),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_10,X_11),X_162)))]]) ).
cnf(refute_0_1621,plain,
( multiply(multiply(X_10,X_11),X_162) != multiply(X_10,multiply(X_11,X_162))
| inverse(multiply(multiply(X_10,X_11),X_162)) != inverse(multiply(multiply(X_10,X_11),X_162))
| inverse(multiply(multiply(X_10,X_11),X_162)) = inverse(multiply(X_10,multiply(X_11,X_162))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_10,X_11),X_162)),inverse(multiply(multiply(X_10,X_11),X_162))) ),[1,0],$fot(multiply(X_10,multiply(X_11,X_162)))]]) ).
cnf(refute_0_1622,plain,
( multiply(multiply(X_10,X_11),X_162) != multiply(X_10,multiply(X_11,X_162))
| inverse(multiply(multiply(X_10,X_11),X_162)) = inverse(multiply(X_10,multiply(X_11,X_162))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_10,X_11),X_162)),inverse(multiply(multiply(X_10,X_11),X_162))) )],[refute_0_1620,refute_0_1621]) ).
cnf(refute_0_1623,plain,
inverse(multiply(multiply(X_10,X_11),X_162)) = inverse(multiply(X_10,multiply(X_11,X_162))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_10,X_11),X_162),multiply(X_10,multiply(X_11,X_162))) )],[refute_0_1619,refute_0_1622]) ).
cnf(refute_0_1624,plain,
multiply(X_10,inverse(multiply(multiply(X_10,X_11),X_162))) = multiply(X_10,inverse(multiply(multiply(X_10,X_11),X_162))),
introduced(tautology,[refl,[$fot(multiply(X_10,inverse(multiply(multiply(X_10,X_11),X_162))))]]) ).
cnf(refute_0_1625,plain,
( multiply(X_10,inverse(multiply(multiply(X_10,X_11),X_162))) != multiply(X_10,inverse(multiply(multiply(X_10,X_11),X_162)))
| inverse(multiply(multiply(X_10,X_11),X_162)) != inverse(multiply(X_10,multiply(X_11,X_162)))
| multiply(X_10,inverse(multiply(multiply(X_10,X_11),X_162))) = multiply(X_10,inverse(multiply(X_10,multiply(X_11,X_162)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_10,inverse(multiply(multiply(X_10,X_11),X_162))),multiply(X_10,inverse(multiply(multiply(X_10,X_11),X_162)))) ),[1,1],$fot(inverse(multiply(X_10,multiply(X_11,X_162))))]]) ).
cnf(refute_0_1626,plain,
( inverse(multiply(multiply(X_10,X_11),X_162)) != inverse(multiply(X_10,multiply(X_11,X_162)))
| multiply(X_10,inverse(multiply(multiply(X_10,X_11),X_162))) = multiply(X_10,inverse(multiply(X_10,multiply(X_11,X_162)))) ),
inference(resolve,[$cnf( $equal(multiply(X_10,inverse(multiply(multiply(X_10,X_11),X_162))),multiply(X_10,inverse(multiply(multiply(X_10,X_11),X_162)))) )],[refute_0_1624,refute_0_1625]) ).
cnf(refute_0_1627,plain,
multiply(X_10,inverse(multiply(multiply(X_10,X_11),X_162))) = multiply(X_10,inverse(multiply(X_10,multiply(X_11,X_162)))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_10,X_11),X_162)),inverse(multiply(X_10,multiply(X_11,X_162)))) )],[refute_0_1623,refute_0_1626]) ).
cnf(refute_0_1628,plain,
inverse(multiply(multiply(X_10,X_11),multiply(X_162,inverse(X_10)))) = multiply(X_10,inverse(multiply(multiply(X_10,X_11),X_162))),
inference(subst,[],[refute_0_860:[bind(X_58,$fot(multiply(X_10,X_11))),bind(X_89,$fot(X_10)),bind(X_90,$fot(X_162))]]) ).
cnf(refute_0_1629,plain,
( multiply(X_10,inverse(multiply(multiply(X_10,X_11),X_162))) != multiply(X_10,inverse(multiply(X_10,multiply(X_11,X_162))))
| inverse(multiply(multiply(X_10,X_11),multiply(X_162,inverse(X_10)))) != multiply(X_10,inverse(multiply(multiply(X_10,X_11),X_162)))
| inverse(multiply(multiply(X_10,X_11),multiply(X_162,inverse(X_10)))) = multiply(X_10,inverse(multiply(X_10,multiply(X_11,X_162)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(multiply(X_10,X_11),multiply(X_162,inverse(X_10)))))),bind(Y0,$fot(multiply(X_10,inverse(multiply(multiply(X_10,X_11),X_162))))),bind(Z0,$fot(multiply(X_10,inverse(multiply(X_10,multiply(X_11,X_162))))))]]) ).
cnf(refute_0_1630,plain,
( multiply(X_10,inverse(multiply(multiply(X_10,X_11),X_162))) != multiply(X_10,inverse(multiply(X_10,multiply(X_11,X_162))))
| inverse(multiply(multiply(X_10,X_11),multiply(X_162,inverse(X_10)))) = multiply(X_10,inverse(multiply(X_10,multiply(X_11,X_162)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_10,X_11),multiply(X_162,inverse(X_10)))),multiply(X_10,inverse(multiply(multiply(X_10,X_11),X_162)))) )],[refute_0_1628,refute_0_1629]) ).
cnf(refute_0_1631,plain,
inverse(multiply(multiply(X_10,X_11),multiply(X_162,inverse(X_10)))) = multiply(X_10,inverse(multiply(X_10,multiply(X_11,X_162)))),
inference(resolve,[$cnf( $equal(multiply(X_10,inverse(multiply(multiply(X_10,X_11),X_162))),multiply(X_10,inverse(multiply(X_10,multiply(X_11,X_162))))) )],[refute_0_1627,refute_0_1630]) ).
cnf(refute_0_1632,plain,
multiply(inverse(multiply(multiply(X_10,X_11),multiply(X_162,inverse(X_10)))),multiply(X_162,X_11)) = multiply(inverse(multiply(multiply(X_10,X_11),multiply(X_162,inverse(X_10)))),multiply(X_162,X_11)),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(multiply(X_10,X_11),multiply(X_162,inverse(X_10)))),multiply(X_162,X_11)))]]) ).
cnf(refute_0_1633,plain,
( multiply(inverse(multiply(multiply(X_10,X_11),multiply(X_162,inverse(X_10)))),multiply(X_162,X_11)) != multiply(inverse(multiply(multiply(X_10,X_11),multiply(X_162,inverse(X_10)))),multiply(X_162,X_11))
| inverse(multiply(multiply(X_10,X_11),multiply(X_162,inverse(X_10)))) != multiply(X_10,inverse(multiply(X_10,multiply(X_11,X_162))))
| multiply(inverse(multiply(multiply(X_10,X_11),multiply(X_162,inverse(X_10)))),multiply(X_162,X_11)) = multiply(multiply(X_10,inverse(multiply(X_10,multiply(X_11,X_162)))),multiply(X_162,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(multiply(X_10,X_11),multiply(X_162,inverse(X_10)))),multiply(X_162,X_11)),multiply(inverse(multiply(multiply(X_10,X_11),multiply(X_162,inverse(X_10)))),multiply(X_162,X_11))) ),[1,0],$fot(multiply(X_10,inverse(multiply(X_10,multiply(X_11,X_162)))))]]) ).
cnf(refute_0_1634,plain,
( inverse(multiply(multiply(X_10,X_11),multiply(X_162,inverse(X_10)))) != multiply(X_10,inverse(multiply(X_10,multiply(X_11,X_162))))
| multiply(inverse(multiply(multiply(X_10,X_11),multiply(X_162,inverse(X_10)))),multiply(X_162,X_11)) = multiply(multiply(X_10,inverse(multiply(X_10,multiply(X_11,X_162)))),multiply(X_162,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_10,X_11),multiply(X_162,inverse(X_10)))),multiply(X_162,X_11)),multiply(inverse(multiply(multiply(X_10,X_11),multiply(X_162,inverse(X_10)))),multiply(X_162,X_11))) )],[refute_0_1632,refute_0_1633]) ).
cnf(refute_0_1635,plain,
multiply(inverse(multiply(multiply(X_10,X_11),multiply(X_162,inverse(X_10)))),multiply(X_162,X_11)) = multiply(multiply(X_10,inverse(multiply(X_10,multiply(X_11,X_162)))),multiply(X_162,X_11)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_10,X_11),multiply(X_162,inverse(X_10)))),multiply(X_10,inverse(multiply(X_10,multiply(X_11,X_162))))) )],[refute_0_1631,refute_0_1634]) ).
cnf(refute_0_1636,plain,
( multiply(multiply(X_10,inverse(multiply(X_10,multiply(X_11,X_162)))),multiply(X_162,X_11)) != multiply(X_10,multiply(inverse(multiply(X_10,multiply(X_11,X_162))),multiply(X_162,X_11)))
| multiply(inverse(multiply(multiply(X_10,X_11),multiply(X_162,inverse(X_10)))),multiply(X_162,X_11)) != multiply(multiply(X_10,inverse(multiply(X_10,multiply(X_11,X_162)))),multiply(X_162,X_11))
| multiply(inverse(multiply(multiply(X_10,X_11),multiply(X_162,inverse(X_10)))),multiply(X_162,X_11)) = multiply(X_10,multiply(inverse(multiply(X_10,multiply(X_11,X_162))),multiply(X_162,X_11))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(multiply(X_10,X_11),multiply(X_162,inverse(X_10)))),multiply(X_162,X_11)))),bind(Y0,$fot(multiply(multiply(X_10,inverse(multiply(X_10,multiply(X_11,X_162)))),multiply(X_162,X_11)))),bind(Z0,$fot(multiply(X_10,multiply(inverse(multiply(X_10,multiply(X_11,X_162))),multiply(X_162,X_11)))))]]) ).
cnf(refute_0_1637,plain,
( multiply(multiply(X_10,inverse(multiply(X_10,multiply(X_11,X_162)))),multiply(X_162,X_11)) != multiply(X_10,multiply(inverse(multiply(X_10,multiply(X_11,X_162))),multiply(X_162,X_11)))
| multiply(inverse(multiply(multiply(X_10,X_11),multiply(X_162,inverse(X_10)))),multiply(X_162,X_11)) = multiply(X_10,multiply(inverse(multiply(X_10,multiply(X_11,X_162))),multiply(X_162,X_11))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_10,X_11),multiply(X_162,inverse(X_10)))),multiply(X_162,X_11)),multiply(multiply(X_10,inverse(multiply(X_10,multiply(X_11,X_162)))),multiply(X_162,X_11))) )],[refute_0_1635,refute_0_1636]) ).
cnf(refute_0_1638,plain,
multiply(inverse(multiply(multiply(X_10,X_11),multiply(X_162,inverse(X_10)))),multiply(X_162,X_11)) = multiply(X_10,multiply(inverse(multiply(X_10,multiply(X_11,X_162))),multiply(X_162,X_11))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_10,inverse(multiply(X_10,multiply(X_11,X_162)))),multiply(X_162,X_11)),multiply(X_10,multiply(inverse(multiply(X_10,multiply(X_11,X_162))),multiply(X_162,X_11)))) )],[refute_0_1618,refute_0_1637]) ).
cnf(refute_0_1639,plain,
( multiply(inverse(multiply(multiply(X_10,X_11),multiply(X_162,inverse(X_10)))),multiply(X_162,X_11)) != multiply(X_10,multiply(inverse(multiply(X_10,multiply(X_11,X_162))),multiply(X_162,X_11)))
| commutator(multiply(X_162,inverse(X_10)),multiply(X_10,X_11)) != multiply(inverse(multiply(multiply(X_10,X_11),multiply(X_162,inverse(X_10)))),multiply(X_162,X_11))
| commutator(multiply(X_162,inverse(X_10)),multiply(X_10,X_11)) = multiply(X_10,multiply(inverse(multiply(X_10,multiply(X_11,X_162))),multiply(X_162,X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_162,inverse(X_10)),multiply(X_10,X_11)),multiply(inverse(multiply(multiply(X_10,X_11),multiply(X_162,inverse(X_10)))),multiply(X_162,X_11))) ),[1],$fot(multiply(X_10,multiply(inverse(multiply(X_10,multiply(X_11,X_162))),multiply(X_162,X_11))))]]) ).
cnf(refute_0_1640,plain,
( commutator(multiply(X_162,inverse(X_10)),multiply(X_10,X_11)) != multiply(inverse(multiply(multiply(X_10,X_11),multiply(X_162,inverse(X_10)))),multiply(X_162,X_11))
| commutator(multiply(X_162,inverse(X_10)),multiply(X_10,X_11)) = multiply(X_10,multiply(inverse(multiply(X_10,multiply(X_11,X_162))),multiply(X_162,X_11))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_10,X_11),multiply(X_162,inverse(X_10)))),multiply(X_162,X_11)),multiply(X_10,multiply(inverse(multiply(X_10,multiply(X_11,X_162))),multiply(X_162,X_11)))) )],[refute_0_1638,refute_0_1639]) ).
cnf(refute_0_1641,plain,
commutator(multiply(X_162,inverse(X_10)),multiply(X_10,X_11)) = multiply(X_10,multiply(inverse(multiply(X_10,multiply(X_11,X_162))),multiply(X_162,X_11))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_162,inverse(X_10)),multiply(X_10,X_11)),multiply(inverse(multiply(multiply(X_10,X_11),multiply(X_162,inverse(X_10)))),multiply(X_162,X_11))) )],[refute_0_1617,refute_0_1640]) ).
cnf(refute_0_1642,plain,
( commutator(multiply(X_162,inverse(X_10)),multiply(X_10,X_11)) != multiply(X_10,multiply(inverse(multiply(X_10,multiply(X_11,X_162))),multiply(X_162,X_11)))
| multiply(X_10,multiply(inverse(multiply(X_10,multiply(X_11,X_162))),multiply(X_162,X_11))) = commutator(multiply(X_162,inverse(X_10)),multiply(X_10,X_11)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(multiply(X_162,inverse(X_10)),multiply(X_10,X_11)))),bind(Y0,$fot(multiply(X_10,multiply(inverse(multiply(X_10,multiply(X_11,X_162))),multiply(X_162,X_11)))))]]) ).
cnf(refute_0_1643,plain,
multiply(X_10,multiply(inverse(multiply(X_10,multiply(X_11,X_162))),multiply(X_162,X_11))) = commutator(multiply(X_162,inverse(X_10)),multiply(X_10,X_11)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_162,inverse(X_10)),multiply(X_10,X_11)),multiply(X_10,multiply(inverse(multiply(X_10,multiply(X_11,X_162))),multiply(X_162,X_11)))) )],[refute_0_1641,refute_0_1642]) ).
cnf(refute_0_1644,plain,
multiply(X_10,multiply(inverse(multiply(X_10,multiply(X_161,X_162))),multiply(X_162,X_161))) = commutator(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)),
inference(subst,[],[refute_0_1643:[bind(X_11,$fot(X_161))]]) ).
cnf(refute_0_1645,plain,
multiply(multiply(X_10,X_161),X_162) = multiply(X_10,multiply(X_161,X_162)),
inference(subst,[],[associativity:[bind(X,$fot(X_10)),bind(Y,$fot(X_161)),bind(Z,$fot(X_162))]]) ).
cnf(refute_0_1646,plain,
inverse(multiply(multiply(X_10,X_161),X_162)) = inverse(multiply(multiply(X_10,X_161),X_162)),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_10,X_161),X_162)))]]) ).
cnf(refute_0_1647,plain,
( multiply(multiply(X_10,X_161),X_162) != multiply(X_10,multiply(X_161,X_162))
| inverse(multiply(multiply(X_10,X_161),X_162)) != inverse(multiply(multiply(X_10,X_161),X_162))
| inverse(multiply(multiply(X_10,X_161),X_162)) = inverse(multiply(X_10,multiply(X_161,X_162))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_10,X_161),X_162)),inverse(multiply(multiply(X_10,X_161),X_162))) ),[1,0],$fot(multiply(X_10,multiply(X_161,X_162)))]]) ).
cnf(refute_0_1648,plain,
( multiply(multiply(X_10,X_161),X_162) != multiply(X_10,multiply(X_161,X_162))
| inverse(multiply(multiply(X_10,X_161),X_162)) = inverse(multiply(X_10,multiply(X_161,X_162))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_10,X_161),X_162)),inverse(multiply(multiply(X_10,X_161),X_162))) )],[refute_0_1646,refute_0_1647]) ).
cnf(refute_0_1649,plain,
inverse(multiply(multiply(X_10,X_161),X_162)) = inverse(multiply(X_10,multiply(X_161,X_162))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_10,X_161),X_162),multiply(X_10,multiply(X_161,X_162))) )],[refute_0_1645,refute_0_1648]) ).
cnf(refute_0_1650,plain,
multiply(inverse(multiply(multiply(X_10,X_161),X_162)),multiply(X_162,X_161)) = multiply(inverse(multiply(multiply(X_10,X_161),X_162)),multiply(X_162,X_161)),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(multiply(X_10,X_161),X_162)),multiply(X_162,X_161)))]]) ).
cnf(refute_0_1651,plain,
( multiply(inverse(multiply(multiply(X_10,X_161),X_162)),multiply(X_162,X_161)) != multiply(inverse(multiply(multiply(X_10,X_161),X_162)),multiply(X_162,X_161))
| inverse(multiply(multiply(X_10,X_161),X_162)) != inverse(multiply(X_10,multiply(X_161,X_162)))
| multiply(inverse(multiply(multiply(X_10,X_161),X_162)),multiply(X_162,X_161)) = multiply(inverse(multiply(X_10,multiply(X_161,X_162))),multiply(X_162,X_161)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(multiply(X_10,X_161),X_162)),multiply(X_162,X_161)),multiply(inverse(multiply(multiply(X_10,X_161),X_162)),multiply(X_162,X_161))) ),[1,0],$fot(inverse(multiply(X_10,multiply(X_161,X_162))))]]) ).
cnf(refute_0_1652,plain,
( inverse(multiply(multiply(X_10,X_161),X_162)) != inverse(multiply(X_10,multiply(X_161,X_162)))
| multiply(inverse(multiply(multiply(X_10,X_161),X_162)),multiply(X_162,X_161)) = multiply(inverse(multiply(X_10,multiply(X_161,X_162))),multiply(X_162,X_161)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_10,X_161),X_162)),multiply(X_162,X_161)),multiply(inverse(multiply(multiply(X_10,X_161),X_162)),multiply(X_162,X_161))) )],[refute_0_1650,refute_0_1651]) ).
cnf(refute_0_1653,plain,
multiply(inverse(multiply(multiply(X_10,X_161),X_162)),multiply(X_162,X_161)) = multiply(inverse(multiply(X_10,multiply(X_161,X_162))),multiply(X_162,X_161)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_10,X_161),X_162)),inverse(multiply(X_10,multiply(X_161,X_162)))) )],[refute_0_1649,refute_0_1652]) ).
cnf(refute_0_1654,plain,
multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))) = multiply(inverse(multiply(multiply(X_10,X_161),X_162)),multiply(X_162,X_161)),
inference(subst,[],[refute_0_242:[bind(Z,$fot(multiply(X_162,X_161))),bind(X_62,$fot(X_162)),bind(X_63,$fot(multiply(X_10,X_161)))]]) ).
cnf(refute_0_1655,plain,
( multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))) != multiply(inverse(multiply(multiply(X_10,X_161),X_162)),multiply(X_162,X_161))
| multiply(inverse(multiply(multiply(X_10,X_161),X_162)),multiply(X_162,X_161)) != multiply(inverse(multiply(X_10,multiply(X_161,X_162))),multiply(X_162,X_161))
| multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))) = multiply(inverse(multiply(X_10,multiply(X_161,X_162))),multiply(X_162,X_161)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))))),bind(Y0,$fot(multiply(inverse(multiply(multiply(X_10,X_161),X_162)),multiply(X_162,X_161)))),bind(Z0,$fot(multiply(inverse(multiply(X_10,multiply(X_161,X_162))),multiply(X_162,X_161))))]]) ).
cnf(refute_0_1656,plain,
( multiply(inverse(multiply(multiply(X_10,X_161),X_162)),multiply(X_162,X_161)) != multiply(inverse(multiply(X_10,multiply(X_161,X_162))),multiply(X_162,X_161))
| multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))) = multiply(inverse(multiply(X_10,multiply(X_161,X_162))),multiply(X_162,X_161)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))),multiply(inverse(multiply(multiply(X_10,X_161),X_162)),multiply(X_162,X_161))) )],[refute_0_1654,refute_0_1655]) ).
cnf(refute_0_1657,plain,
multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))) = multiply(inverse(multiply(X_10,multiply(X_161,X_162))),multiply(X_162,X_161)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_10,X_161),X_162)),multiply(X_162,X_161)),multiply(inverse(multiply(X_10,multiply(X_161,X_162))),multiply(X_162,X_161))) )],[refute_0_1653,refute_0_1656]) ).
cnf(refute_0_1658,plain,
multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161)))) = multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161)))),
introduced(tautology,[refl,[$fot(multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161)))))]]) ).
cnf(refute_0_1659,plain,
( multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161)))) != multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))))
| multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))) != multiply(inverse(multiply(X_10,multiply(X_161,X_162))),multiply(X_162,X_161))
| multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161)))) = multiply(X_10,multiply(inverse(multiply(X_10,multiply(X_161,X_162))),multiply(X_162,X_161))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161)))),multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))))) ),[1,1],$fot(multiply(inverse(multiply(X_10,multiply(X_161,X_162))),multiply(X_162,X_161)))]]) ).
cnf(refute_0_1660,plain,
( multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))) != multiply(inverse(multiply(X_10,multiply(X_161,X_162))),multiply(X_162,X_161))
| multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161)))) = multiply(X_10,multiply(inverse(multiply(X_10,multiply(X_161,X_162))),multiply(X_162,X_161))) ),
inference(resolve,[$cnf( $equal(multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161)))),multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))))) )],[refute_0_1658,refute_0_1659]) ).
cnf(refute_0_1661,plain,
multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161)))) = multiply(X_10,multiply(inverse(multiply(X_10,multiply(X_161,X_162))),multiply(X_162,X_161))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))),multiply(inverse(multiply(X_10,multiply(X_161,X_162))),multiply(X_162,X_161))) )],[refute_0_1657,refute_0_1660]) ).
cnf(refute_0_1662,plain,
( multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161)))) != multiply(X_10,multiply(inverse(multiply(X_10,multiply(X_161,X_162))),multiply(X_162,X_161)))
| multiply(X_10,multiply(inverse(multiply(X_10,multiply(X_161,X_162))),multiply(X_162,X_161))) != commutator(multiply(X_162,inverse(X_10)),multiply(X_10,X_161))
| multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161)))) = commutator(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161)))))),bind(Y0,$fot(multiply(X_10,multiply(inverse(multiply(X_10,multiply(X_161,X_162))),multiply(X_162,X_161))))),bind(Z0,$fot(commutator(multiply(X_162,inverse(X_10)),multiply(X_10,X_161))))]]) ).
cnf(refute_0_1663,plain,
( multiply(X_10,multiply(inverse(multiply(X_10,multiply(X_161,X_162))),multiply(X_162,X_161))) != commutator(multiply(X_162,inverse(X_10)),multiply(X_10,X_161))
| multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161)))) = commutator(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)) ),
inference(resolve,[$cnf( $equal(multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161)))),multiply(X_10,multiply(inverse(multiply(X_10,multiply(X_161,X_162))),multiply(X_162,X_161)))) )],[refute_0_1661,refute_0_1662]) ).
cnf(refute_0_1664,plain,
multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161)))) = commutator(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)),
inference(resolve,[$cnf( $equal(multiply(X_10,multiply(inverse(multiply(X_10,multiply(X_161,X_162))),multiply(X_162,X_161))),commutator(multiply(X_162,inverse(X_10)),multiply(X_10,X_161))) )],[refute_0_1644,refute_0_1663]) ).
cnf(refute_0_1665,plain,
inverse(multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))))) = inverse(multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))))))]]) ).
cnf(refute_0_1666,plain,
( multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161)))) != commutator(multiply(X_162,inverse(X_10)),multiply(X_10,X_161))
| inverse(multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))))) != inverse(multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161)))))
| inverse(multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))))) = inverse(commutator(multiply(X_162,inverse(X_10)),multiply(X_10,X_161))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))))),inverse(multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161)))))) ),[1,0],$fot(commutator(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)))]]) ).
cnf(refute_0_1667,plain,
( multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161)))) != commutator(multiply(X_162,inverse(X_10)),multiply(X_10,X_161))
| inverse(multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))))) = inverse(commutator(multiply(X_162,inverse(X_10)),multiply(X_10,X_161))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))))),inverse(multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161)))))) )],[refute_0_1665,refute_0_1666]) ).
cnf(refute_0_1668,plain,
inverse(multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))))) = inverse(commutator(multiply(X_162,inverse(X_10)),multiply(X_10,X_161))),
inference(resolve,[$cnf( $equal(multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161)))),commutator(multiply(X_162,inverse(X_10)),multiply(X_10,X_161))) )],[refute_0_1664,refute_0_1667]) ).
cnf(refute_0_1669,plain,
( inverse(multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))))) != inverse(commutator(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)))
| inverse(commutator(multiply(X_162,inverse(X_10)),multiply(X_10,X_161))) != commutator(multiply(X_10,X_161),multiply(X_162,inverse(X_10)))
| inverse(multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))))) = commutator(multiply(X_10,X_161),multiply(X_162,inverse(X_10))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))))))),bind(Y0,$fot(inverse(commutator(multiply(X_162,inverse(X_10)),multiply(X_10,X_161))))),bind(Z0,$fot(commutator(multiply(X_10,X_161),multiply(X_162,inverse(X_10)))))]]) ).
cnf(refute_0_1670,plain,
( inverse(commutator(multiply(X_162,inverse(X_10)),multiply(X_10,X_161))) != commutator(multiply(X_10,X_161),multiply(X_162,inverse(X_10)))
| inverse(multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))))) = commutator(multiply(X_10,X_161),multiply(X_162,inverse(X_10))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))))),inverse(commutator(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)))) )],[refute_0_1668,refute_0_1669]) ).
cnf(refute_0_1671,plain,
inverse(multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))))) = commutator(multiply(X_10,X_161),multiply(X_162,inverse(X_10))),
inference(resolve,[$cnf( $equal(inverse(commutator(multiply(X_162,inverse(X_10)),multiply(X_10,X_161))),commutator(multiply(X_10,X_161),multiply(X_162,inverse(X_10)))) )],[refute_0_1613,refute_0_1670]) ).
cnf(refute_0_1672,plain,
inverse(multiply(X_58,multiply(inverse(X_74),X_73))) = multiply(inverse(multiply(inverse(X_74),X_73)),inverse(X_58)),
inference(subst,[],[refute_0_234:[bind(X_10,$fot(multiply(inverse(X_74),X_73)))]]) ).
cnf(refute_0_1673,plain,
multiply(inverse(X_73),X_74) = inverse(multiply(inverse(X_74),X_73)),
inference(subst,[],[refute_0_292:[bind(Z,$fot(X_73)),bind(X_61,$fot(X_74))]]) ).
cnf(refute_0_1674,plain,
( multiply(inverse(X_73),X_74) != inverse(multiply(inverse(X_74),X_73))
| inverse(multiply(inverse(X_74),X_73)) = multiply(inverse(X_73),X_74) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(inverse(X_73),X_74))),bind(Y0,$fot(inverse(multiply(inverse(X_74),X_73))))]]) ).
cnf(refute_0_1675,plain,
inverse(multiply(inverse(X_74),X_73)) = multiply(inverse(X_73),X_74),
inference(resolve,[$cnf( $equal(multiply(inverse(X_73),X_74),inverse(multiply(inverse(X_74),X_73))) )],[refute_0_1673,refute_0_1674]) ).
cnf(refute_0_1676,plain,
( inverse(multiply(X_58,multiply(inverse(X_74),X_73))) != multiply(inverse(multiply(inverse(X_74),X_73)),inverse(X_58))
| inverse(multiply(inverse(X_74),X_73)) != multiply(inverse(X_73),X_74)
| inverse(multiply(X_58,multiply(inverse(X_74),X_73))) = multiply(multiply(inverse(X_73),X_74),inverse(X_58)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_58,multiply(inverse(X_74),X_73))),multiply(inverse(multiply(inverse(X_74),X_73)),inverse(X_58))) ),[1,0],$fot(multiply(inverse(X_73),X_74))]]) ).
cnf(refute_0_1677,plain,
( inverse(multiply(X_58,multiply(inverse(X_74),X_73))) != multiply(inverse(multiply(inverse(X_74),X_73)),inverse(X_58))
| inverse(multiply(X_58,multiply(inverse(X_74),X_73))) = multiply(multiply(inverse(X_73),X_74),inverse(X_58)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_74),X_73)),multiply(inverse(X_73),X_74)) )],[refute_0_1675,refute_0_1676]) ).
cnf(refute_0_1678,plain,
inverse(multiply(X_58,multiply(inverse(X_74),X_73))) = multiply(multiply(inverse(X_73),X_74),inverse(X_58)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_58,multiply(inverse(X_74),X_73))),multiply(inverse(multiply(inverse(X_74),X_73)),inverse(X_58))) )],[refute_0_1672,refute_0_1677]) ).
cnf(refute_0_1679,plain,
multiply(multiply(inverse(X_73),X_74),inverse(X_58)) = multiply(inverse(X_73),multiply(X_74,inverse(X_58))),
inference(subst,[],[associativity:[bind(X,$fot(inverse(X_73))),bind(Y,$fot(X_74)),bind(Z,$fot(inverse(X_58)))]]) ).
cnf(refute_0_1680,plain,
( multiply(multiply(inverse(X_73),X_74),inverse(X_58)) != multiply(inverse(X_73),multiply(X_74,inverse(X_58)))
| inverse(multiply(X_58,multiply(inverse(X_74),X_73))) != multiply(multiply(inverse(X_73),X_74),inverse(X_58))
| inverse(multiply(X_58,multiply(inverse(X_74),X_73))) = multiply(inverse(X_73),multiply(X_74,inverse(X_58))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_58,multiply(inverse(X_74),X_73))),multiply(multiply(inverse(X_73),X_74),inverse(X_58))) ),[1],$fot(multiply(inverse(X_73),multiply(X_74,inverse(X_58))))]]) ).
cnf(refute_0_1681,plain,
( inverse(multiply(X_58,multiply(inverse(X_74),X_73))) != multiply(multiply(inverse(X_73),X_74),inverse(X_58))
| inverse(multiply(X_58,multiply(inverse(X_74),X_73))) = multiply(inverse(X_73),multiply(X_74,inverse(X_58))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_73),X_74),inverse(X_58)),multiply(inverse(X_73),multiply(X_74,inverse(X_58)))) )],[refute_0_1679,refute_0_1680]) ).
cnf(refute_0_1682,plain,
inverse(multiply(X_58,multiply(inverse(X_74),X_73))) = multiply(inverse(X_73),multiply(X_74,inverse(X_58))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_58,multiply(inverse(X_74),X_73))),multiply(multiply(inverse(X_73),X_74),inverse(X_58))) )],[refute_0_1678,refute_0_1681]) ).
cnf(refute_0_1683,plain,
( inverse(multiply(X_58,multiply(inverse(X_74),X_73))) != multiply(inverse(X_73),multiply(X_74,inverse(X_58)))
| multiply(inverse(X_73),multiply(X_74,inverse(X_58))) = inverse(multiply(X_58,multiply(inverse(X_74),X_73))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(inverse(multiply(X_58,multiply(inverse(X_74),X_73))))),bind(Y0,$fot(multiply(inverse(X_73),multiply(X_74,inverse(X_58)))))]]) ).
cnf(refute_0_1684,plain,
multiply(inverse(X_73),multiply(X_74,inverse(X_58))) = inverse(multiply(X_58,multiply(inverse(X_74),X_73))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_58,multiply(inverse(X_74),X_73))),multiply(inverse(X_73),multiply(X_74,inverse(X_58)))) )],[refute_0_1682,refute_0_1683]) ).
cnf(refute_0_1685,plain,
multiply(inverse(multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))),multiply(X_162,inverse(X_10))) = inverse(multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))))),
inference(subst,[],[refute_0_1684:[bind(X_58,$fot(X_10)),bind(X_73,$fot(multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161)))),bind(X_74,$fot(X_162))]]) ).
cnf(refute_0_1686,plain,
( multiply(inverse(multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))),multiply(X_162,inverse(X_10))) != inverse(multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161)))))
| inverse(multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))))) != commutator(multiply(X_10,X_161),multiply(X_162,inverse(X_10)))
| multiply(inverse(multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))),multiply(X_162,inverse(X_10))) = commutator(multiply(X_10,X_161),multiply(X_162,inverse(X_10))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))),multiply(X_162,inverse(X_10))))),bind(Y0,$fot(inverse(multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))))))),bind(Z0,$fot(commutator(multiply(X_10,X_161),multiply(X_162,inverse(X_10)))))]]) ).
cnf(refute_0_1687,plain,
( inverse(multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))))) != commutator(multiply(X_10,X_161),multiply(X_162,inverse(X_10)))
| multiply(inverse(multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))),multiply(X_162,inverse(X_10))) = commutator(multiply(X_10,X_161),multiply(X_162,inverse(X_10))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))),multiply(X_162,inverse(X_10))),inverse(multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161)))))) )],[refute_0_1685,refute_0_1686]) ).
cnf(refute_0_1688,plain,
multiply(inverse(multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))),multiply(X_162,inverse(X_10))) = commutator(multiply(X_10,X_161),multiply(X_162,inverse(X_10))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,multiply(inverse(X_162),multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))))),commutator(multiply(X_10,X_161),multiply(X_162,inverse(X_10)))) )],[refute_0_1671,refute_0_1687]) ).
cnf(refute_0_1689,plain,
( multiply(inverse(multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))),multiply(X_162,inverse(X_10))) != commutator(multiply(X_10,X_161),multiply(X_162,inverse(X_10)))
| commutator(multiply(X_10,X_161),multiply(X_162,X_161)) != multiply(inverse(multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))),multiply(X_162,inverse(X_10)))
| commutator(multiply(X_10,X_161),multiply(X_162,X_161)) = commutator(multiply(X_10,X_161),multiply(X_162,inverse(X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_10,X_161),multiply(X_162,X_161)),multiply(inverse(multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))),multiply(X_162,inverse(X_10)))) ),[1],$fot(commutator(multiply(X_10,X_161),multiply(X_162,inverse(X_10))))]]) ).
cnf(refute_0_1690,plain,
( commutator(multiply(X_10,X_161),multiply(X_162,X_161)) != multiply(inverse(multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))),multiply(X_162,inverse(X_10)))
| commutator(multiply(X_10,X_161),multiply(X_162,X_161)) = commutator(multiply(X_10,X_161),multiply(X_162,inverse(X_10))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))),multiply(X_162,inverse(X_10))),commutator(multiply(X_10,X_161),multiply(X_162,inverse(X_10)))) )],[refute_0_1688,refute_0_1689]) ).
cnf(refute_0_1691,plain,
( commutator(multiply(X_162,X_161),inverse(multiply(X_10,X_161))) != multiply(inverse(multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))),multiply(X_162,inverse(X_10)))
| commutator(multiply(X_10,X_161),multiply(X_162,X_161)) = commutator(multiply(X_10,X_161),multiply(X_162,inverse(X_10))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_10,X_161),multiply(X_162,X_161)),multiply(inverse(multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))),multiply(X_162,inverse(X_10)))) )],[refute_0_1612,refute_0_1690]) ).
cnf(refute_0_1692,plain,
commutator(multiply(X_10,X_161),multiply(X_162,X_161)) = commutator(multiply(X_10,X_161),multiply(X_162,inverse(X_10))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_162,X_161),inverse(multiply(X_10,X_161))),multiply(inverse(multiply(inverse(multiply(X_10,X_161)),multiply(X_162,X_161))),multiply(X_162,inverse(X_10)))) )],[refute_0_1609,refute_0_1691]) ).
cnf(refute_0_1693,plain,
commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_167,commutator(X_167,X_135))) = commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_167,inverse(X_135))),
inference(subst,[],[refute_0_1692:[bind(X_10,$fot(X_135)),bind(X_161,$fot(commutator(X_167,X_135))),bind(X_162,$fot(X_167))]]) ).
cnf(refute_0_1694,plain,
( commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_167,commutator(X_167,X_135))) != commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_167,inverse(X_135)))
| commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_167,inverse(X_135))) != commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))
| commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_167,commutator(X_167,X_135))) = commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_167,commutator(X_167,X_135))))),bind(Y0,$fot(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_167,inverse(X_135))))),bind(Z0,$fot(commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))))]]) ).
cnf(refute_0_1695,plain,
( commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_167,inverse(X_135))) != commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))
| commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_167,commutator(X_167,X_135))) = commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_167,commutator(X_167,X_135))),commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_167,inverse(X_135)))) )],[refute_0_1693,refute_0_1694]) ).
cnf(refute_0_1696,plain,
commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_167,commutator(X_167,X_135))) = commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_167,inverse(X_135))),commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))) )],[refute_0_1604,refute_0_1695]) ).
cnf(refute_0_1697,plain,
( commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_167,commutator(X_167,X_135))) != commutator(X_135,multiply(X_167,commutator(X_167,X_135)))
| commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_167,commutator(X_167,X_135))) != commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))
| commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))) = commutator(X_135,multiply(X_167,commutator(X_167,X_135))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_167,commutator(X_167,X_135))),commutator(X_135,multiply(X_167,commutator(X_167,X_135)))) ),[0],$fot(commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))]]) ).
cnf(refute_0_1698,plain,
( commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_167,commutator(X_167,X_135))) != commutator(X_135,multiply(X_167,commutator(X_167,X_135)))
| commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))) = commutator(X_135,multiply(X_167,commutator(X_167,X_135))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_167,commutator(X_167,X_135))),commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))) )],[refute_0_1696,refute_0_1697]) ).
cnf(refute_0_1699,plain,
commutator(inverse(X_117),multiply(inverse(X_117),multiply(X_118,X_117))) = commutator(inverse(X_117),multiply(X_118,X_117)),
inference(subst,[],[refute_0_455:[bind(X_10,$fot(inverse(X_117))),bind(X_11,$fot(multiply(X_118,X_117)))]]) ).
cnf(refute_0_1700,plain,
multiply(inverse(multiply(X_58,multiply(inverse(multiply(X_58,X_102)),X_102))),X_58) = inverse(multiply(inverse(multiply(X_58,X_102)),X_102)),
inference(subst,[],[refute_0_208:[bind(X_10,$fot(multiply(inverse(multiply(X_58,X_102)),X_102)))]]) ).
cnf(refute_0_1701,plain,
commutator(inverse(X_58),X_102) = multiply(X_58,multiply(inverse(multiply(X_58,X_102)),X_102)),
inference(subst,[],[refute_0_462:[bind(X_15,$fot(X_58)),bind(X_16,$fot(X_102))]]) ).
cnf(refute_0_1702,plain,
( commutator(inverse(X_58),X_102) != multiply(X_58,multiply(inverse(multiply(X_58,X_102)),X_102))
| multiply(X_58,multiply(inverse(multiply(X_58,X_102)),X_102)) = commutator(inverse(X_58),X_102) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(inverse(X_58),X_102))),bind(Y0,$fot(multiply(X_58,multiply(inverse(multiply(X_58,X_102)),X_102))))]]) ).
cnf(refute_0_1703,plain,
multiply(X_58,multiply(inverse(multiply(X_58,X_102)),X_102)) = commutator(inverse(X_58),X_102),
inference(resolve,[$cnf( $equal(commutator(inverse(X_58),X_102),multiply(X_58,multiply(inverse(multiply(X_58,X_102)),X_102))) )],[refute_0_1701,refute_0_1702]) ).
cnf(refute_0_1704,plain,
( multiply(X_58,multiply(inverse(multiply(X_58,X_102)),X_102)) != commutator(inverse(X_58),X_102)
| multiply(inverse(multiply(X_58,multiply(inverse(multiply(X_58,X_102)),X_102))),X_58) != inverse(multiply(inverse(multiply(X_58,X_102)),X_102))
| multiply(inverse(commutator(inverse(X_58),X_102)),X_58) = inverse(multiply(inverse(multiply(X_58,X_102)),X_102)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_58,multiply(inverse(multiply(X_58,X_102)),X_102))),X_58),inverse(multiply(inverse(multiply(X_58,X_102)),X_102))) ),[0,0,0],$fot(commutator(inverse(X_58),X_102))]]) ).
cnf(refute_0_1705,plain,
( multiply(inverse(multiply(X_58,multiply(inverse(multiply(X_58,X_102)),X_102))),X_58) != inverse(multiply(inverse(multiply(X_58,X_102)),X_102))
| multiply(inverse(commutator(inverse(X_58),X_102)),X_58) = inverse(multiply(inverse(multiply(X_58,X_102)),X_102)) ),
inference(resolve,[$cnf( $equal(multiply(X_58,multiply(inverse(multiply(X_58,X_102)),X_102)),commutator(inverse(X_58),X_102)) )],[refute_0_1703,refute_0_1704]) ).
cnf(refute_0_1706,plain,
multiply(inverse(commutator(inverse(X_58),X_102)),X_58) = inverse(multiply(inverse(multiply(X_58,X_102)),X_102)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_58,multiply(inverse(multiply(X_58,X_102)),X_102))),X_58),inverse(multiply(inverse(multiply(X_58,X_102)),X_102))) )],[refute_0_1700,refute_0_1705]) ).
cnf(refute_0_1707,plain,
inverse(commutator(inverse(X_58),X_102)) = commutator(X_102,inverse(X_58)),
inference(subst,[],[refute_0_386:[bind(X,$fot(X_102)),bind(Y,$fot(inverse(X_58)))]]) ).
cnf(refute_0_1708,plain,
multiply(inverse(commutator(inverse(X_58),X_102)),X_58) = multiply(inverse(commutator(inverse(X_58),X_102)),X_58),
introduced(tautology,[refl,[$fot(multiply(inverse(commutator(inverse(X_58),X_102)),X_58))]]) ).
cnf(refute_0_1709,plain,
( multiply(inverse(commutator(inverse(X_58),X_102)),X_58) != multiply(inverse(commutator(inverse(X_58),X_102)),X_58)
| inverse(commutator(inverse(X_58),X_102)) != commutator(X_102,inverse(X_58))
| multiply(inverse(commutator(inverse(X_58),X_102)),X_58) = multiply(commutator(X_102,inverse(X_58)),X_58) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(commutator(inverse(X_58),X_102)),X_58),multiply(inverse(commutator(inverse(X_58),X_102)),X_58)) ),[1,0],$fot(commutator(X_102,inverse(X_58)))]]) ).
cnf(refute_0_1710,plain,
( inverse(commutator(inverse(X_58),X_102)) != commutator(X_102,inverse(X_58))
| multiply(inverse(commutator(inverse(X_58),X_102)),X_58) = multiply(commutator(X_102,inverse(X_58)),X_58) ),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(inverse(X_58),X_102)),X_58),multiply(inverse(commutator(inverse(X_58),X_102)),X_58)) )],[refute_0_1708,refute_0_1709]) ).
cnf(refute_0_1711,plain,
multiply(inverse(commutator(inverse(X_58),X_102)),X_58) = multiply(commutator(X_102,inverse(X_58)),X_58),
inference(resolve,[$cnf( $equal(inverse(commutator(inverse(X_58),X_102)),commutator(X_102,inverse(X_58))) )],[refute_0_1707,refute_0_1710]) ).
cnf(refute_0_1712,plain,
( multiply(inverse(commutator(inverse(X_58),X_102)),X_58) != multiply(commutator(X_102,inverse(X_58)),X_58)
| multiply(inverse(commutator(inverse(X_58),X_102)),X_58) != inverse(multiply(inverse(multiply(X_58,X_102)),X_102))
| multiply(commutator(X_102,inverse(X_58)),X_58) = inverse(multiply(inverse(multiply(X_58,X_102)),X_102)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(commutator(inverse(X_58),X_102)),X_58),inverse(multiply(inverse(multiply(X_58,X_102)),X_102))) ),[0],$fot(multiply(commutator(X_102,inverse(X_58)),X_58))]]) ).
cnf(refute_0_1713,plain,
( multiply(inverse(commutator(inverse(X_58),X_102)),X_58) != inverse(multiply(inverse(multiply(X_58,X_102)),X_102))
| multiply(commutator(X_102,inverse(X_58)),X_58) = inverse(multiply(inverse(multiply(X_58,X_102)),X_102)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(inverse(X_58),X_102)),X_58),multiply(commutator(X_102,inverse(X_58)),X_58)) )],[refute_0_1711,refute_0_1712]) ).
cnf(refute_0_1714,plain,
inverse(multiply(inverse(multiply(X_58,X_102)),X_102)) = multiply(inverse(X_102),multiply(X_58,X_102)),
inference(subst,[],[refute_0_294:[bind(Z,$fot(X_102)),bind(X_61,$fot(multiply(X_58,X_102)))]]) ).
cnf(refute_0_1715,plain,
( multiply(commutator(X_102,inverse(X_58)),X_58) != inverse(multiply(inverse(multiply(X_58,X_102)),X_102))
| inverse(multiply(inverse(multiply(X_58,X_102)),X_102)) != multiply(inverse(X_102),multiply(X_58,X_102))
| multiply(commutator(X_102,inverse(X_58)),X_58) = multiply(inverse(X_102),multiply(X_58,X_102)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(commutator(X_102,inverse(X_58)),X_58),multiply(inverse(X_102),multiply(X_58,X_102))) ),[0],$fot(inverse(multiply(inverse(multiply(X_58,X_102)),X_102)))]]) ).
cnf(refute_0_1716,plain,
( multiply(commutator(X_102,inverse(X_58)),X_58) != inverse(multiply(inverse(multiply(X_58,X_102)),X_102))
| multiply(commutator(X_102,inverse(X_58)),X_58) = multiply(inverse(X_102),multiply(X_58,X_102)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(X_58,X_102)),X_102)),multiply(inverse(X_102),multiply(X_58,X_102))) )],[refute_0_1714,refute_0_1715]) ).
cnf(refute_0_1717,plain,
( multiply(inverse(commutator(inverse(X_58),X_102)),X_58) != inverse(multiply(inverse(multiply(X_58,X_102)),X_102))
| multiply(commutator(X_102,inverse(X_58)),X_58) = multiply(inverse(X_102),multiply(X_58,X_102)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_102,inverse(X_58)),X_58),inverse(multiply(inverse(multiply(X_58,X_102)),X_102))) )],[refute_0_1713,refute_0_1716]) ).
cnf(refute_0_1718,plain,
multiply(commutator(X_102,inverse(X_58)),X_58) = multiply(inverse(X_102),multiply(X_58,X_102)),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(inverse(X_58),X_102)),X_58),inverse(multiply(inverse(multiply(X_58,X_102)),X_102))) )],[refute_0_1706,refute_0_1717]) ).
cnf(refute_0_1719,plain,
commutator(X_102,inverse(X_58)) = commutator(X_58,X_102),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(X_58)),bind(X_110,$fot(X_102))]]) ).
cnf(refute_0_1720,plain,
multiply(commutator(X_102,inverse(X_58)),X_58) = multiply(commutator(X_102,inverse(X_58)),X_58),
introduced(tautology,[refl,[$fot(multiply(commutator(X_102,inverse(X_58)),X_58))]]) ).
cnf(refute_0_1721,plain,
( multiply(commutator(X_102,inverse(X_58)),X_58) != multiply(commutator(X_102,inverse(X_58)),X_58)
| commutator(X_102,inverse(X_58)) != commutator(X_58,X_102)
| multiply(commutator(X_102,inverse(X_58)),X_58) = multiply(commutator(X_58,X_102),X_58) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_102,inverse(X_58)),X_58),multiply(commutator(X_102,inverse(X_58)),X_58)) ),[1,0],$fot(commutator(X_58,X_102))]]) ).
cnf(refute_0_1722,plain,
( commutator(X_102,inverse(X_58)) != commutator(X_58,X_102)
| multiply(commutator(X_102,inverse(X_58)),X_58) = multiply(commutator(X_58,X_102),X_58) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_102,inverse(X_58)),X_58),multiply(commutator(X_102,inverse(X_58)),X_58)) )],[refute_0_1720,refute_0_1721]) ).
cnf(refute_0_1723,plain,
multiply(commutator(X_102,inverse(X_58)),X_58) = multiply(commutator(X_58,X_102),X_58),
inference(resolve,[$cnf( $equal(commutator(X_102,inverse(X_58)),commutator(X_58,X_102)) )],[refute_0_1719,refute_0_1722]) ).
cnf(refute_0_1724,plain,
( multiply(commutator(X_102,inverse(X_58)),X_58) != multiply(commutator(X_58,X_102),X_58)
| multiply(commutator(X_102,inverse(X_58)),X_58) != multiply(inverse(X_102),multiply(X_58,X_102))
| multiply(commutator(X_58,X_102),X_58) = multiply(inverse(X_102),multiply(X_58,X_102)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_102,inverse(X_58)),X_58),multiply(inverse(X_102),multiply(X_58,X_102))) ),[0],$fot(multiply(commutator(X_58,X_102),X_58))]]) ).
cnf(refute_0_1725,plain,
( multiply(commutator(X_102,inverse(X_58)),X_58) != multiply(inverse(X_102),multiply(X_58,X_102))
| multiply(commutator(X_58,X_102),X_58) = multiply(inverse(X_102),multiply(X_58,X_102)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_102,inverse(X_58)),X_58),multiply(commutator(X_58,X_102),X_58)) )],[refute_0_1723,refute_0_1724]) ).
cnf(refute_0_1726,plain,
multiply(commutator(X_58,X_102),X_58) = multiply(inverse(X_102),multiply(X_58,X_102)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_102,inverse(X_58)),X_58),multiply(inverse(X_102),multiply(X_58,X_102))) )],[refute_0_1718,refute_0_1725]) ).
cnf(refute_0_1727,plain,
multiply(commutator(X_118,X_117),X_118) = multiply(inverse(X_117),multiply(X_118,X_117)),
inference(subst,[],[refute_0_1726:[bind(X_102,$fot(X_117)),bind(X_58,$fot(X_118))]]) ).
cnf(refute_0_1728,plain,
( multiply(commutator(X_118,X_117),X_118) != multiply(inverse(X_117),multiply(X_118,X_117))
| multiply(inverse(X_117),multiply(X_118,X_117)) = multiply(commutator(X_118,X_117),X_118) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(commutator(X_118,X_117),X_118))),bind(Y0,$fot(multiply(inverse(X_117),multiply(X_118,X_117))))]]) ).
cnf(refute_0_1729,plain,
multiply(inverse(X_117),multiply(X_118,X_117)) = multiply(commutator(X_118,X_117),X_118),
inference(resolve,[$cnf( $equal(multiply(commutator(X_118,X_117),X_118),multiply(inverse(X_117),multiply(X_118,X_117))) )],[refute_0_1727,refute_0_1728]) ).
cnf(refute_0_1730,plain,
( multiply(inverse(X_117),multiply(X_118,X_117)) != multiply(commutator(X_118,X_117),X_118)
| commutator(inverse(X_117),multiply(inverse(X_117),multiply(X_118,X_117))) != commutator(inverse(X_117),multiply(X_118,X_117))
| commutator(inverse(X_117),multiply(commutator(X_118,X_117),X_118)) = commutator(inverse(X_117),multiply(X_118,X_117)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(X_117),multiply(inverse(X_117),multiply(X_118,X_117))),commutator(inverse(X_117),multiply(X_118,X_117))) ),[0,1],$fot(multiply(commutator(X_118,X_117),X_118))]]) ).
cnf(refute_0_1731,plain,
( commutator(inverse(X_117),multiply(inverse(X_117),multiply(X_118,X_117))) != commutator(inverse(X_117),multiply(X_118,X_117))
| commutator(inverse(X_117),multiply(commutator(X_118,X_117),X_118)) = commutator(inverse(X_117),multiply(X_118,X_117)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_117),multiply(X_118,X_117)),multiply(commutator(X_118,X_117),X_118)) )],[refute_0_1729,refute_0_1730]) ).
cnf(refute_0_1732,plain,
commutator(inverse(X_117),multiply(commutator(X_118,X_117),X_118)) = commutator(inverse(X_117),multiply(X_118,X_117)),
inference(resolve,[$cnf( $equal(commutator(inverse(X_117),multiply(inverse(X_117),multiply(X_118,X_117))),commutator(inverse(X_117),multiply(X_118,X_117))) )],[refute_0_1699,refute_0_1731]) ).
cnf(refute_0_1733,plain,
commutator(inverse(X_117),multiply(commutator(X_118,X_117),X_118)) = commutator(multiply(commutator(X_118,X_117),X_118),X_117),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(X_117)),bind(X_110,$fot(multiply(commutator(X_118,X_117),X_118)))]]) ).
cnf(refute_0_1734,plain,
( commutator(inverse(X_117),multiply(commutator(X_118,X_117),X_118)) != commutator(multiply(commutator(X_118,X_117),X_118),X_117)
| commutator(inverse(X_117),multiply(commutator(X_118,X_117),X_118)) != commutator(inverse(X_117),multiply(X_118,X_117))
| commutator(multiply(commutator(X_118,X_117),X_118),X_117) = commutator(inverse(X_117),multiply(X_118,X_117)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(X_117),multiply(commutator(X_118,X_117),X_118)),commutator(inverse(X_117),multiply(X_118,X_117))) ),[0],$fot(commutator(multiply(commutator(X_118,X_117),X_118),X_117))]]) ).
cnf(refute_0_1735,plain,
( commutator(inverse(X_117),multiply(commutator(X_118,X_117),X_118)) != commutator(inverse(X_117),multiply(X_118,X_117))
| commutator(multiply(commutator(X_118,X_117),X_118),X_117) = commutator(inverse(X_117),multiply(X_118,X_117)) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_117),multiply(commutator(X_118,X_117),X_118)),commutator(multiply(commutator(X_118,X_117),X_118),X_117)) )],[refute_0_1733,refute_0_1734]) ).
cnf(refute_0_1736,plain,
commutator(multiply(X_118,X_117),X_117) = commutator(X_118,X_117),
inference(subst,[],[refute_0_1583:[bind(X_10,$fot(X_117)),bind(X_86,$fot(X_118))]]) ).
cnf(refute_0_1737,plain,
commutator(inverse(X_117),multiply(X_118,X_117)) = commutator(multiply(X_118,X_117),X_117),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(X_117)),bind(X_110,$fot(multiply(X_118,X_117)))]]) ).
cnf(refute_0_1738,plain,
( commutator(multiply(X_118,X_117),X_117) != commutator(X_118,X_117)
| commutator(inverse(X_117),multiply(X_118,X_117)) != commutator(multiply(X_118,X_117),X_117)
| commutator(inverse(X_117),multiply(X_118,X_117)) = commutator(X_118,X_117) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(inverse(X_117),multiply(X_118,X_117)))),bind(Y0,$fot(commutator(multiply(X_118,X_117),X_117))),bind(Z0,$fot(commutator(X_118,X_117)))]]) ).
cnf(refute_0_1739,plain,
( commutator(multiply(X_118,X_117),X_117) != commutator(X_118,X_117)
| commutator(inverse(X_117),multiply(X_118,X_117)) = commutator(X_118,X_117) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_117),multiply(X_118,X_117)),commutator(multiply(X_118,X_117),X_117)) )],[refute_0_1737,refute_0_1738]) ).
cnf(refute_0_1740,plain,
commutator(inverse(X_117),multiply(X_118,X_117)) = commutator(X_118,X_117),
inference(resolve,[$cnf( $equal(commutator(multiply(X_118,X_117),X_117),commutator(X_118,X_117)) )],[refute_0_1736,refute_0_1739]) ).
cnf(refute_0_1741,plain,
( commutator(multiply(commutator(X_118,X_117),X_118),X_117) != commutator(inverse(X_117),multiply(X_118,X_117))
| commutator(inverse(X_117),multiply(X_118,X_117)) != commutator(X_118,X_117)
| commutator(multiply(commutator(X_118,X_117),X_118),X_117) = commutator(X_118,X_117) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(multiply(commutator(X_118,X_117),X_118),X_117),commutator(X_118,X_117)) ),[0],$fot(commutator(inverse(X_117),multiply(X_118,X_117)))]]) ).
cnf(refute_0_1742,plain,
( commutator(multiply(commutator(X_118,X_117),X_118),X_117) != commutator(inverse(X_117),multiply(X_118,X_117))
| commutator(multiply(commutator(X_118,X_117),X_118),X_117) = commutator(X_118,X_117) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_117),multiply(X_118,X_117)),commutator(X_118,X_117)) )],[refute_0_1740,refute_0_1741]) ).
cnf(refute_0_1743,plain,
( commutator(inverse(X_117),multiply(commutator(X_118,X_117),X_118)) != commutator(inverse(X_117),multiply(X_118,X_117))
| commutator(multiply(commutator(X_118,X_117),X_118),X_117) = commutator(X_118,X_117) ),
inference(resolve,[$cnf( $equal(commutator(multiply(commutator(X_118,X_117),X_118),X_117),commutator(inverse(X_117),multiply(X_118,X_117))) )],[refute_0_1735,refute_0_1742]) ).
cnf(refute_0_1744,plain,
commutator(multiply(commutator(X_118,X_117),X_118),X_117) = commutator(X_118,X_117),
inference(resolve,[$cnf( $equal(commutator(inverse(X_117),multiply(commutator(X_118,X_117),X_118)),commutator(inverse(X_117),multiply(X_118,X_117))) )],[refute_0_1732,refute_0_1743]) ).
cnf(refute_0_1745,plain,
commutator(multiply(commutator(inverse(X_109),X_121),inverse(X_109)),X_121) = commutator(inverse(X_109),X_121),
inference(subst,[],[refute_0_1744:[bind(X_117,$fot(X_121)),bind(X_118,$fot(inverse(X_109)))]]) ).
cnf(refute_0_1746,plain,
commutator(inverse(X_109),X_121) = commutator(X_121,X_109),
inference(subst,[],[refute_0_999:[bind(X_110,$fot(X_121))]]) ).
cnf(refute_0_1747,plain,
( commutator(multiply(commutator(inverse(X_109),X_121),inverse(X_109)),X_121) != commutator(inverse(X_109),X_121)
| commutator(inverse(X_109),X_121) != commutator(X_121,X_109)
| commutator(multiply(commutator(X_121,X_109),inverse(X_109)),X_121) = commutator(inverse(X_109),X_121) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(commutator(inverse(X_109),X_121),inverse(X_109)),X_121),commutator(inverse(X_109),X_121)) ),[0,0,0],$fot(commutator(X_121,X_109))]]) ).
cnf(refute_0_1748,plain,
( commutator(multiply(commutator(inverse(X_109),X_121),inverse(X_109)),X_121) != commutator(inverse(X_109),X_121)
| commutator(multiply(commutator(X_121,X_109),inverse(X_109)),X_121) = commutator(inverse(X_109),X_121) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_109),X_121),commutator(X_121,X_109)) )],[refute_0_1746,refute_0_1747]) ).
cnf(refute_0_1749,plain,
commutator(multiply(commutator(X_121,X_109),inverse(X_109)),X_121) = commutator(inverse(X_109),X_121),
inference(resolve,[$cnf( $equal(commutator(multiply(commutator(inverse(X_109),X_121),inverse(X_109)),X_121),commutator(inverse(X_109),X_121)) )],[refute_0_1745,refute_0_1748]) ).
cnf(refute_0_1750,plain,
commutator(inverse(multiply(X_109,commutator(X_109,X_121))),X_121) = commutator(X_121,multiply(X_109,commutator(X_109,X_121))),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(multiply(X_109,commutator(X_109,X_121)))),bind(X_110,$fot(X_121))]]) ).
cnf(refute_0_1751,plain,
multiply(commutator(X_121,X_109),inverse(X_109)) = inverse(multiply(X_109,commutator(X_109,X_121))),
inference(subst,[],[refute_0_378:[bind(X_58,$fot(X_109)),bind(X_65,$fot(X_121)),bind(X_66,$fot(X_109))]]) ).
cnf(refute_0_1752,plain,
commutator(multiply(commutator(X_121,X_109),inverse(X_109)),X_121) = commutator(multiply(commutator(X_121,X_109),inverse(X_109)),X_121),
introduced(tautology,[refl,[$fot(commutator(multiply(commutator(X_121,X_109),inverse(X_109)),X_121))]]) ).
cnf(refute_0_1753,plain,
( multiply(commutator(X_121,X_109),inverse(X_109)) != inverse(multiply(X_109,commutator(X_109,X_121)))
| commutator(multiply(commutator(X_121,X_109),inverse(X_109)),X_121) != commutator(multiply(commutator(X_121,X_109),inverse(X_109)),X_121)
| commutator(multiply(commutator(X_121,X_109),inverse(X_109)),X_121) = commutator(inverse(multiply(X_109,commutator(X_109,X_121))),X_121) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(commutator(X_121,X_109),inverse(X_109)),X_121),commutator(multiply(commutator(X_121,X_109),inverse(X_109)),X_121)) ),[1,0],$fot(inverse(multiply(X_109,commutator(X_109,X_121))))]]) ).
cnf(refute_0_1754,plain,
( multiply(commutator(X_121,X_109),inverse(X_109)) != inverse(multiply(X_109,commutator(X_109,X_121)))
| commutator(multiply(commutator(X_121,X_109),inverse(X_109)),X_121) = commutator(inverse(multiply(X_109,commutator(X_109,X_121))),X_121) ),
inference(resolve,[$cnf( $equal(commutator(multiply(commutator(X_121,X_109),inverse(X_109)),X_121),commutator(multiply(commutator(X_121,X_109),inverse(X_109)),X_121)) )],[refute_0_1752,refute_0_1753]) ).
cnf(refute_0_1755,plain,
commutator(multiply(commutator(X_121,X_109),inverse(X_109)),X_121) = commutator(inverse(multiply(X_109,commutator(X_109,X_121))),X_121),
inference(resolve,[$cnf( $equal(multiply(commutator(X_121,X_109),inverse(X_109)),inverse(multiply(X_109,commutator(X_109,X_121)))) )],[refute_0_1751,refute_0_1754]) ).
cnf(refute_0_1756,plain,
( commutator(multiply(commutator(X_121,X_109),inverse(X_109)),X_121) != commutator(inverse(multiply(X_109,commutator(X_109,X_121))),X_121)
| commutator(inverse(multiply(X_109,commutator(X_109,X_121))),X_121) != commutator(X_121,multiply(X_109,commutator(X_109,X_121)))
| commutator(multiply(commutator(X_121,X_109),inverse(X_109)),X_121) = commutator(X_121,multiply(X_109,commutator(X_109,X_121))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(commutator(X_121,X_109),inverse(X_109)),X_121))),bind(Y0,$fot(commutator(inverse(multiply(X_109,commutator(X_109,X_121))),X_121))),bind(Z0,$fot(commutator(X_121,multiply(X_109,commutator(X_109,X_121)))))]]) ).
cnf(refute_0_1757,plain,
( commutator(inverse(multiply(X_109,commutator(X_109,X_121))),X_121) != commutator(X_121,multiply(X_109,commutator(X_109,X_121)))
| commutator(multiply(commutator(X_121,X_109),inverse(X_109)),X_121) = commutator(X_121,multiply(X_109,commutator(X_109,X_121))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(commutator(X_121,X_109),inverse(X_109)),X_121),commutator(inverse(multiply(X_109,commutator(X_109,X_121))),X_121)) )],[refute_0_1755,refute_0_1756]) ).
cnf(refute_0_1758,plain,
commutator(multiply(commutator(X_121,X_109),inverse(X_109)),X_121) = commutator(X_121,multiply(X_109,commutator(X_109,X_121))),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_109,commutator(X_109,X_121))),X_121),commutator(X_121,multiply(X_109,commutator(X_109,X_121)))) )],[refute_0_1750,refute_0_1757]) ).
cnf(refute_0_1759,plain,
( commutator(multiply(commutator(X_121,X_109),inverse(X_109)),X_121) != commutator(X_121,multiply(X_109,commutator(X_109,X_121)))
| commutator(multiply(commutator(X_121,X_109),inverse(X_109)),X_121) != commutator(inverse(X_109),X_121)
| commutator(X_121,multiply(X_109,commutator(X_109,X_121))) = commutator(inverse(X_109),X_121) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(commutator(X_121,X_109),inverse(X_109)),X_121),commutator(inverse(X_109),X_121)) ),[0],$fot(commutator(X_121,multiply(X_109,commutator(X_109,X_121))))]]) ).
cnf(refute_0_1760,plain,
( commutator(multiply(commutator(X_121,X_109),inverse(X_109)),X_121) != commutator(inverse(X_109),X_121)
| commutator(X_121,multiply(X_109,commutator(X_109,X_121))) = commutator(inverse(X_109),X_121) ),
inference(resolve,[$cnf( $equal(commutator(multiply(commutator(X_121,X_109),inverse(X_109)),X_121),commutator(X_121,multiply(X_109,commutator(X_109,X_121)))) )],[refute_0_1758,refute_0_1759]) ).
cnf(refute_0_1761,plain,
( commutator(X_121,multiply(X_109,commutator(X_109,X_121))) != commutator(inverse(X_109),X_121)
| commutator(inverse(X_109),X_121) != commutator(X_121,X_109)
| commutator(X_121,multiply(X_109,commutator(X_109,X_121))) = commutator(X_121,X_109) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(X_121,multiply(X_109,commutator(X_109,X_121))),commutator(X_121,X_109)) ),[0],$fot(commutator(inverse(X_109),X_121))]]) ).
cnf(refute_0_1762,plain,
( commutator(X_121,multiply(X_109,commutator(X_109,X_121))) != commutator(inverse(X_109),X_121)
| commutator(X_121,multiply(X_109,commutator(X_109,X_121))) = commutator(X_121,X_109) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_109),X_121),commutator(X_121,X_109)) )],[refute_0_1746,refute_0_1761]) ).
cnf(refute_0_1763,plain,
( commutator(multiply(commutator(X_121,X_109),inverse(X_109)),X_121) != commutator(inverse(X_109),X_121)
| commutator(X_121,multiply(X_109,commutator(X_109,X_121))) = commutator(X_121,X_109) ),
inference(resolve,[$cnf( $equal(commutator(X_121,multiply(X_109,commutator(X_109,X_121))),commutator(inverse(X_109),X_121)) )],[refute_0_1760,refute_0_1762]) ).
cnf(refute_0_1764,plain,
commutator(X_121,multiply(X_109,commutator(X_109,X_121))) = commutator(X_121,X_109),
inference(resolve,[$cnf( $equal(commutator(multiply(commutator(X_121,X_109),inverse(X_109)),X_121),commutator(inverse(X_109),X_121)) )],[refute_0_1749,refute_0_1763]) ).
cnf(refute_0_1765,plain,
commutator(X_135,multiply(X_167,commutator(X_167,X_135))) = commutator(X_135,X_167),
inference(subst,[],[refute_0_1764:[bind(X_109,$fot(X_167)),bind(X_121,$fot(X_135))]]) ).
cnf(refute_0_1766,plain,
( commutator(X_135,multiply(X_167,commutator(X_167,X_135))) != commutator(X_135,X_167)
| commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))) != commutator(X_135,multiply(X_167,commutator(X_167,X_135)))
| commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))) = commutator(X_135,X_167) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),commutator(X_135,multiply(X_167,commutator(X_167,X_135)))) ),[1],$fot(commutator(X_135,X_167))]]) ).
cnf(refute_0_1767,plain,
( commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))) != commutator(X_135,multiply(X_167,commutator(X_167,X_135)))
| commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))) = commutator(X_135,X_167) ),
inference(resolve,[$cnf( $equal(commutator(X_135,multiply(X_167,commutator(X_167,X_135))),commutator(X_135,X_167)) )],[refute_0_1765,refute_0_1766]) ).
cnf(refute_0_1768,plain,
( commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_167,commutator(X_167,X_135))) != commutator(X_135,multiply(X_167,commutator(X_167,X_135)))
| commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))) = commutator(X_135,X_167) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),commutator(X_135,multiply(X_167,commutator(X_167,X_135)))) )],[refute_0_1698,refute_0_1767]) ).
cnf(refute_0_1769,plain,
commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))) = commutator(X_135,X_167),
inference(resolve,[$cnf( $equal(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_167,commutator(X_167,X_135))),commutator(X_135,multiply(X_167,commutator(X_167,X_135)))) )],[refute_0_1596,refute_0_1768]) ).
cnf(refute_0_1770,plain,
commutator(multiply(inverse(X_109),inverse(X_179)),multiply(inverse(X_109),commutator(X_179,inverse(X_109)))) = commutator(inverse(X_109),X_179),
inference(subst,[],[refute_0_1769:[bind(X_135,$fot(inverse(X_109))),bind(X_167,$fot(X_179))]]) ).
cnf(refute_0_1771,plain,
commutator(X_109,X_179) = commutator(X_179,inverse(X_109)),
inference(subst,[],[refute_0_572:[bind(X_110,$fot(X_179))]]) ).
cnf(refute_0_1772,plain,
( commutator(X_109,X_179) != commutator(X_179,inverse(X_109))
| commutator(X_179,inverse(X_109)) = commutator(X_109,X_179) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_109,X_179))),bind(Y0,$fot(commutator(X_179,inverse(X_109))))]]) ).
cnf(refute_0_1773,plain,
commutator(X_179,inverse(X_109)) = commutator(X_109,X_179),
inference(resolve,[$cnf( $equal(commutator(X_109,X_179),commutator(X_179,inverse(X_109))) )],[refute_0_1771,refute_0_1772]) ).
cnf(refute_0_1774,plain,
( commutator(X_179,inverse(X_109)) != commutator(X_109,X_179)
| commutator(multiply(inverse(X_109),inverse(X_179)),multiply(inverse(X_109),commutator(X_179,inverse(X_109)))) != commutator(inverse(X_109),X_179)
| commutator(multiply(inverse(X_109),inverse(X_179)),multiply(inverse(X_109),commutator(X_109,X_179))) = commutator(inverse(X_109),X_179) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(X_109),inverse(X_179)),multiply(inverse(X_109),commutator(X_179,inverse(X_109)))),commutator(inverse(X_109),X_179)) ),[0,1,1],$fot(commutator(X_109,X_179))]]) ).
cnf(refute_0_1775,plain,
( commutator(multiply(inverse(X_109),inverse(X_179)),multiply(inverse(X_109),commutator(X_179,inverse(X_109)))) != commutator(inverse(X_109),X_179)
| commutator(multiply(inverse(X_109),inverse(X_179)),multiply(inverse(X_109),commutator(X_109,X_179))) = commutator(inverse(X_109),X_179) ),
inference(resolve,[$cnf( $equal(commutator(X_179,inverse(X_109)),commutator(X_109,X_179)) )],[refute_0_1773,refute_0_1774]) ).
cnf(refute_0_1776,plain,
commutator(multiply(inverse(X_109),inverse(X_179)),multiply(inverse(X_109),commutator(X_109,X_179))) = commutator(inverse(X_109),X_179),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_109),inverse(X_179)),multiply(inverse(X_109),commutator(X_179,inverse(X_109)))),commutator(inverse(X_109),X_179)) )],[refute_0_1770,refute_0_1775]) ).
cnf(refute_0_1777,plain,
commutator(multiply(X_109,commutator(X_179,X_109)),inverse(multiply(X_179,X_109))) = commutator(multiply(X_179,X_109),multiply(X_109,commutator(X_179,X_109))),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(multiply(X_179,X_109))),bind(X_110,$fot(multiply(X_109,commutator(X_179,X_109))))]]) ).
cnf(refute_0_1778,plain,
commutator(inverse(multiply(X_179,X_109)),inverse(multiply(X_109,commutator(X_179,X_109)))) = commutator(multiply(X_109,commutator(X_179,X_109)),inverse(multiply(X_179,X_109))),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(multiply(X_109,commutator(X_179,X_109)))),bind(X_110,$fot(inverse(multiply(X_179,X_109))))]]) ).
cnf(refute_0_1779,plain,
( commutator(multiply(X_109,commutator(X_179,X_109)),inverse(multiply(X_179,X_109))) != commutator(multiply(X_179,X_109),multiply(X_109,commutator(X_179,X_109)))
| commutator(inverse(multiply(X_179,X_109)),inverse(multiply(X_109,commutator(X_179,X_109)))) != commutator(multiply(X_109,commutator(X_179,X_109)),inverse(multiply(X_179,X_109)))
| commutator(inverse(multiply(X_179,X_109)),inverse(multiply(X_109,commutator(X_179,X_109)))) = commutator(multiply(X_179,X_109),multiply(X_109,commutator(X_179,X_109))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(inverse(multiply(X_179,X_109)),inverse(multiply(X_109,commutator(X_179,X_109)))))),bind(Y0,$fot(commutator(multiply(X_109,commutator(X_179,X_109)),inverse(multiply(X_179,X_109))))),bind(Z0,$fot(commutator(multiply(X_179,X_109),multiply(X_109,commutator(X_179,X_109)))))]]) ).
cnf(refute_0_1780,plain,
( commutator(multiply(X_109,commutator(X_179,X_109)),inverse(multiply(X_179,X_109))) != commutator(multiply(X_179,X_109),multiply(X_109,commutator(X_179,X_109)))
| commutator(inverse(multiply(X_179,X_109)),inverse(multiply(X_109,commutator(X_179,X_109)))) = commutator(multiply(X_179,X_109),multiply(X_109,commutator(X_179,X_109))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_179,X_109)),inverse(multiply(X_109,commutator(X_179,X_109)))),commutator(multiply(X_109,commutator(X_179,X_109)),inverse(multiply(X_179,X_109)))) )],[refute_0_1778,refute_0_1779]) ).
cnf(refute_0_1781,plain,
commutator(inverse(multiply(X_179,X_109)),inverse(multiply(X_109,commutator(X_179,X_109)))) = commutator(multiply(X_179,X_109),multiply(X_109,commutator(X_179,X_109))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_109,commutator(X_179,X_109)),inverse(multiply(X_179,X_109))),commutator(multiply(X_179,X_109),multiply(X_109,commutator(X_179,X_109)))) )],[refute_0_1777,refute_0_1780]) ).
cnf(refute_0_1782,plain,
multiply(commutator(X_179,X_109),X_109) = multiply(X_109,commutator(X_179,X_109)),
inference(subst,[],[refute_0_1032:[bind(X_135,$fot(X_179)),bind(X_153,$fot(X_109))]]) ).
cnf(refute_0_1783,plain,
inverse(multiply(commutator(X_179,X_109),X_109)) = inverse(multiply(commutator(X_179,X_109),X_109)),
introduced(tautology,[refl,[$fot(inverse(multiply(commutator(X_179,X_109),X_109)))]]) ).
cnf(refute_0_1784,plain,
( multiply(commutator(X_179,X_109),X_109) != multiply(X_109,commutator(X_179,X_109))
| inverse(multiply(commutator(X_179,X_109),X_109)) != inverse(multiply(commutator(X_179,X_109),X_109))
| inverse(multiply(commutator(X_179,X_109),X_109)) = inverse(multiply(X_109,commutator(X_179,X_109))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(commutator(X_179,X_109),X_109)),inverse(multiply(commutator(X_179,X_109),X_109))) ),[1,0],$fot(multiply(X_109,commutator(X_179,X_109)))]]) ).
cnf(refute_0_1785,plain,
( multiply(commutator(X_179,X_109),X_109) != multiply(X_109,commutator(X_179,X_109))
| inverse(multiply(commutator(X_179,X_109),X_109)) = inverse(multiply(X_109,commutator(X_179,X_109))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_179,X_109),X_109)),inverse(multiply(commutator(X_179,X_109),X_109))) )],[refute_0_1783,refute_0_1784]) ).
cnf(refute_0_1786,plain,
inverse(multiply(commutator(X_179,X_109),X_109)) = inverse(multiply(X_109,commutator(X_179,X_109))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_179,X_109),X_109),multiply(X_109,commutator(X_179,X_109))) )],[refute_0_1782,refute_0_1785]) ).
cnf(refute_0_1787,plain,
multiply(inverse(X_109),commutator(X_109,X_179)) = inverse(multiply(commutator(X_179,X_109),X_109)),
inference(subst,[],[refute_0_331:[bind(X_10,$fot(X_109)),bind(X_65,$fot(X_109)),bind(X_66,$fot(X_179))]]) ).
cnf(refute_0_1788,plain,
( multiply(inverse(X_109),commutator(X_109,X_179)) != inverse(multiply(commutator(X_179,X_109),X_109))
| inverse(multiply(commutator(X_179,X_109),X_109)) != inverse(multiply(X_109,commutator(X_179,X_109)))
| multiply(inverse(X_109),commutator(X_109,X_179)) = inverse(multiply(X_109,commutator(X_179,X_109))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(X_109),commutator(X_109,X_179)))),bind(Y0,$fot(inverse(multiply(commutator(X_179,X_109),X_109)))),bind(Z0,$fot(inverse(multiply(X_109,commutator(X_179,X_109)))))]]) ).
cnf(refute_0_1789,plain,
( inverse(multiply(commutator(X_179,X_109),X_109)) != inverse(multiply(X_109,commutator(X_179,X_109)))
| multiply(inverse(X_109),commutator(X_109,X_179)) = inverse(multiply(X_109,commutator(X_179,X_109))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_109),commutator(X_109,X_179)),inverse(multiply(commutator(X_179,X_109),X_109))) )],[refute_0_1787,refute_0_1788]) ).
cnf(refute_0_1790,plain,
multiply(inverse(X_109),commutator(X_109,X_179)) = inverse(multiply(X_109,commutator(X_179,X_109))),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_179,X_109),X_109)),inverse(multiply(X_109,commutator(X_179,X_109)))) )],[refute_0_1786,refute_0_1789]) ).
cnf(refute_0_1791,plain,
commutator(inverse(multiply(X_179,X_109)),multiply(inverse(X_109),commutator(X_109,X_179))) = commutator(inverse(multiply(X_179,X_109)),multiply(inverse(X_109),commutator(X_109,X_179))),
introduced(tautology,[refl,[$fot(commutator(inverse(multiply(X_179,X_109)),multiply(inverse(X_109),commutator(X_109,X_179))))]]) ).
cnf(refute_0_1792,plain,
( multiply(inverse(X_109),commutator(X_109,X_179)) != inverse(multiply(X_109,commutator(X_179,X_109)))
| commutator(inverse(multiply(X_179,X_109)),multiply(inverse(X_109),commutator(X_109,X_179))) != commutator(inverse(multiply(X_179,X_109)),multiply(inverse(X_109),commutator(X_109,X_179)))
| commutator(inverse(multiply(X_179,X_109)),multiply(inverse(X_109),commutator(X_109,X_179))) = commutator(inverse(multiply(X_179,X_109)),inverse(multiply(X_109,commutator(X_179,X_109)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(multiply(X_179,X_109)),multiply(inverse(X_109),commutator(X_109,X_179))),commutator(inverse(multiply(X_179,X_109)),multiply(inverse(X_109),commutator(X_109,X_179)))) ),[1,1],$fot(inverse(multiply(X_109,commutator(X_179,X_109))))]]) ).
cnf(refute_0_1793,plain,
( multiply(inverse(X_109),commutator(X_109,X_179)) != inverse(multiply(X_109,commutator(X_179,X_109)))
| commutator(inverse(multiply(X_179,X_109)),multiply(inverse(X_109),commutator(X_109,X_179))) = commutator(inverse(multiply(X_179,X_109)),inverse(multiply(X_109,commutator(X_179,X_109)))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_179,X_109)),multiply(inverse(X_109),commutator(X_109,X_179))),commutator(inverse(multiply(X_179,X_109)),multiply(inverse(X_109),commutator(X_109,X_179)))) )],[refute_0_1791,refute_0_1792]) ).
cnf(refute_0_1794,plain,
commutator(inverse(multiply(X_179,X_109)),multiply(inverse(X_109),commutator(X_109,X_179))) = commutator(inverse(multiply(X_179,X_109)),inverse(multiply(X_109,commutator(X_179,X_109)))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_109),commutator(X_109,X_179)),inverse(multiply(X_109,commutator(X_179,X_109)))) )],[refute_0_1790,refute_0_1793]) ).
cnf(refute_0_1795,plain,
multiply(inverse(X_109),inverse(X_179)) = inverse(multiply(X_179,X_109)),
inference(subst,[],[refute_0_257:[bind(X_10,$fot(X_109)),bind(X_58,$fot(X_179))]]) ).
cnf(refute_0_1796,plain,
commutator(multiply(inverse(X_109),inverse(X_179)),multiply(inverse(X_109),commutator(X_109,X_179))) = commutator(multiply(inverse(X_109),inverse(X_179)),multiply(inverse(X_109),commutator(X_109,X_179))),
introduced(tautology,[refl,[$fot(commutator(multiply(inverse(X_109),inverse(X_179)),multiply(inverse(X_109),commutator(X_109,X_179))))]]) ).
cnf(refute_0_1797,plain,
( multiply(inverse(X_109),inverse(X_179)) != inverse(multiply(X_179,X_109))
| commutator(multiply(inverse(X_109),inverse(X_179)),multiply(inverse(X_109),commutator(X_109,X_179))) != commutator(multiply(inverse(X_109),inverse(X_179)),multiply(inverse(X_109),commutator(X_109,X_179)))
| commutator(multiply(inverse(X_109),inverse(X_179)),multiply(inverse(X_109),commutator(X_109,X_179))) = commutator(inverse(multiply(X_179,X_109)),multiply(inverse(X_109),commutator(X_109,X_179))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(X_109),inverse(X_179)),multiply(inverse(X_109),commutator(X_109,X_179))),commutator(multiply(inverse(X_109),inverse(X_179)),multiply(inverse(X_109),commutator(X_109,X_179)))) ),[1,0],$fot(inverse(multiply(X_179,X_109)))]]) ).
cnf(refute_0_1798,plain,
( multiply(inverse(X_109),inverse(X_179)) != inverse(multiply(X_179,X_109))
| commutator(multiply(inverse(X_109),inverse(X_179)),multiply(inverse(X_109),commutator(X_109,X_179))) = commutator(inverse(multiply(X_179,X_109)),multiply(inverse(X_109),commutator(X_109,X_179))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_109),inverse(X_179)),multiply(inverse(X_109),commutator(X_109,X_179))),commutator(multiply(inverse(X_109),inverse(X_179)),multiply(inverse(X_109),commutator(X_109,X_179)))) )],[refute_0_1796,refute_0_1797]) ).
cnf(refute_0_1799,plain,
commutator(multiply(inverse(X_109),inverse(X_179)),multiply(inverse(X_109),commutator(X_109,X_179))) = commutator(inverse(multiply(X_179,X_109)),multiply(inverse(X_109),commutator(X_109,X_179))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_109),inverse(X_179)),inverse(multiply(X_179,X_109))) )],[refute_0_1795,refute_0_1798]) ).
cnf(refute_0_1800,plain,
( commutator(multiply(inverse(X_109),inverse(X_179)),multiply(inverse(X_109),commutator(X_109,X_179))) != commutator(inverse(multiply(X_179,X_109)),multiply(inverse(X_109),commutator(X_109,X_179)))
| commutator(inverse(multiply(X_179,X_109)),multiply(inverse(X_109),commutator(X_109,X_179))) != commutator(inverse(multiply(X_179,X_109)),inverse(multiply(X_109,commutator(X_179,X_109))))
| commutator(multiply(inverse(X_109),inverse(X_179)),multiply(inverse(X_109),commutator(X_109,X_179))) = commutator(inverse(multiply(X_179,X_109)),inverse(multiply(X_109,commutator(X_179,X_109)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(inverse(X_109),inverse(X_179)),multiply(inverse(X_109),commutator(X_109,X_179))))),bind(Y0,$fot(commutator(inverse(multiply(X_179,X_109)),multiply(inverse(X_109),commutator(X_109,X_179))))),bind(Z0,$fot(commutator(inverse(multiply(X_179,X_109)),inverse(multiply(X_109,commutator(X_179,X_109))))))]]) ).
cnf(refute_0_1801,plain,
( commutator(inverse(multiply(X_179,X_109)),multiply(inverse(X_109),commutator(X_109,X_179))) != commutator(inverse(multiply(X_179,X_109)),inverse(multiply(X_109,commutator(X_179,X_109))))
| commutator(multiply(inverse(X_109),inverse(X_179)),multiply(inverse(X_109),commutator(X_109,X_179))) = commutator(inverse(multiply(X_179,X_109)),inverse(multiply(X_109,commutator(X_179,X_109)))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_109),inverse(X_179)),multiply(inverse(X_109),commutator(X_109,X_179))),commutator(inverse(multiply(X_179,X_109)),multiply(inverse(X_109),commutator(X_109,X_179)))) )],[refute_0_1799,refute_0_1800]) ).
cnf(refute_0_1802,plain,
commutator(multiply(inverse(X_109),inverse(X_179)),multiply(inverse(X_109),commutator(X_109,X_179))) = commutator(inverse(multiply(X_179,X_109)),inverse(multiply(X_109,commutator(X_179,X_109)))),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_179,X_109)),multiply(inverse(X_109),commutator(X_109,X_179))),commutator(inverse(multiply(X_179,X_109)),inverse(multiply(X_109,commutator(X_179,X_109))))) )],[refute_0_1794,refute_0_1801]) ).
cnf(refute_0_1803,plain,
( commutator(multiply(inverse(X_109),inverse(X_179)),multiply(inverse(X_109),commutator(X_109,X_179))) != commutator(inverse(multiply(X_179,X_109)),inverse(multiply(X_109,commutator(X_179,X_109))))
| commutator(inverse(multiply(X_179,X_109)),inverse(multiply(X_109,commutator(X_179,X_109)))) != commutator(multiply(X_179,X_109),multiply(X_109,commutator(X_179,X_109)))
| commutator(multiply(inverse(X_109),inverse(X_179)),multiply(inverse(X_109),commutator(X_109,X_179))) = commutator(multiply(X_179,X_109),multiply(X_109,commutator(X_179,X_109))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(inverse(X_109),inverse(X_179)),multiply(inverse(X_109),commutator(X_109,X_179))))),bind(Y0,$fot(commutator(inverse(multiply(X_179,X_109)),inverse(multiply(X_109,commutator(X_179,X_109)))))),bind(Z0,$fot(commutator(multiply(X_179,X_109),multiply(X_109,commutator(X_179,X_109)))))]]) ).
cnf(refute_0_1804,plain,
( commutator(inverse(multiply(X_179,X_109)),inverse(multiply(X_109,commutator(X_179,X_109)))) != commutator(multiply(X_179,X_109),multiply(X_109,commutator(X_179,X_109)))
| commutator(multiply(inverse(X_109),inverse(X_179)),multiply(inverse(X_109),commutator(X_109,X_179))) = commutator(multiply(X_179,X_109),multiply(X_109,commutator(X_179,X_109))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_109),inverse(X_179)),multiply(inverse(X_109),commutator(X_109,X_179))),commutator(inverse(multiply(X_179,X_109)),inverse(multiply(X_109,commutator(X_179,X_109))))) )],[refute_0_1802,refute_0_1803]) ).
cnf(refute_0_1805,plain,
commutator(multiply(inverse(X_109),inverse(X_179)),multiply(inverse(X_109),commutator(X_109,X_179))) = commutator(multiply(X_179,X_109),multiply(X_109,commutator(X_179,X_109))),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_179,X_109)),inverse(multiply(X_109,commutator(X_179,X_109)))),commutator(multiply(X_179,X_109),multiply(X_109,commutator(X_179,X_109)))) )],[refute_0_1781,refute_0_1804]) ).
cnf(refute_0_1806,plain,
( commutator(multiply(inverse(X_109),inverse(X_179)),multiply(inverse(X_109),commutator(X_109,X_179))) != commutator(multiply(X_179,X_109),multiply(X_109,commutator(X_179,X_109)))
| commutator(multiply(inverse(X_109),inverse(X_179)),multiply(inverse(X_109),commutator(X_109,X_179))) != commutator(inverse(X_109),X_179)
| commutator(multiply(X_179,X_109),multiply(X_109,commutator(X_179,X_109))) = commutator(inverse(X_109),X_179) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(X_109),inverse(X_179)),multiply(inverse(X_109),commutator(X_109,X_179))),commutator(inverse(X_109),X_179)) ),[0],$fot(commutator(multiply(X_179,X_109),multiply(X_109,commutator(X_179,X_109))))]]) ).
cnf(refute_0_1807,plain,
( commutator(multiply(inverse(X_109),inverse(X_179)),multiply(inverse(X_109),commutator(X_109,X_179))) != commutator(inverse(X_109),X_179)
| commutator(multiply(X_179,X_109),multiply(X_109,commutator(X_179,X_109))) = commutator(inverse(X_109),X_179) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_109),inverse(X_179)),multiply(inverse(X_109),commutator(X_109,X_179))),commutator(multiply(X_179,X_109),multiply(X_109,commutator(X_179,X_109)))) )],[refute_0_1805,refute_0_1806]) ).
cnf(refute_0_1808,plain,
commutator(inverse(X_109),X_179) = commutator(X_179,X_109),
inference(subst,[],[refute_0_999:[bind(X_110,$fot(X_179))]]) ).
cnf(refute_0_1809,plain,
( commutator(multiply(X_179,X_109),multiply(X_109,commutator(X_179,X_109))) != commutator(inverse(X_109),X_179)
| commutator(inverse(X_109),X_179) != commutator(X_179,X_109)
| commutator(multiply(X_179,X_109),multiply(X_109,commutator(X_179,X_109))) = commutator(X_179,X_109) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(multiply(X_179,X_109),multiply(X_109,commutator(X_179,X_109))),commutator(X_179,X_109)) ),[0],$fot(commutator(inverse(X_109),X_179))]]) ).
cnf(refute_0_1810,plain,
( commutator(multiply(X_179,X_109),multiply(X_109,commutator(X_179,X_109))) != commutator(inverse(X_109),X_179)
| commutator(multiply(X_179,X_109),multiply(X_109,commutator(X_179,X_109))) = commutator(X_179,X_109) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_109),X_179),commutator(X_179,X_109)) )],[refute_0_1808,refute_0_1809]) ).
cnf(refute_0_1811,plain,
( commutator(multiply(inverse(X_109),inverse(X_179)),multiply(inverse(X_109),commutator(X_109,X_179))) != commutator(inverse(X_109),X_179)
| commutator(multiply(X_179,X_109),multiply(X_109,commutator(X_179,X_109))) = commutator(X_179,X_109) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_179,X_109),multiply(X_109,commutator(X_179,X_109))),commutator(inverse(X_109),X_179)) )],[refute_0_1807,refute_0_1810]) ).
cnf(refute_0_1812,plain,
commutator(multiply(X_179,X_109),multiply(X_109,commutator(X_179,X_109))) = commutator(X_179,X_109),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_109),inverse(X_179)),multiply(inverse(X_109),commutator(X_109,X_179))),commutator(inverse(X_109),X_179)) )],[refute_0_1776,refute_0_1811]) ).
cnf(refute_0_1813,plain,
commutator(multiply(X_180,X_181),multiply(X_181,commutator(X_180,X_181))) = commutator(X_180,X_181),
inference(subst,[],[refute_0_1812:[bind(X_109,$fot(X_181)),bind(X_179,$fot(X_180))]]) ).
cnf(refute_0_1814,plain,
commutator(X_471,commutator(multiply(X_180,X_181),multiply(X_181,commutator(X_180,X_181)))) = commutator(X_471,commutator(multiply(X_180,X_181),multiply(X_181,commutator(X_180,X_181)))),
introduced(tautology,[refl,[$fot(commutator(X_471,commutator(multiply(X_180,X_181),multiply(X_181,commutator(X_180,X_181)))))]]) ).
cnf(refute_0_1815,plain,
( commutator(X_471,commutator(multiply(X_180,X_181),multiply(X_181,commutator(X_180,X_181)))) != commutator(X_471,commutator(multiply(X_180,X_181),multiply(X_181,commutator(X_180,X_181))))
| commutator(multiply(X_180,X_181),multiply(X_181,commutator(X_180,X_181))) != commutator(X_180,X_181)
| commutator(X_471,commutator(multiply(X_180,X_181),multiply(X_181,commutator(X_180,X_181)))) = commutator(X_471,commutator(X_180,X_181)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_471,commutator(multiply(X_180,X_181),multiply(X_181,commutator(X_180,X_181)))),commutator(X_471,commutator(multiply(X_180,X_181),multiply(X_181,commutator(X_180,X_181))))) ),[1,1],$fot(commutator(X_180,X_181))]]) ).
cnf(refute_0_1816,plain,
( commutator(multiply(X_180,X_181),multiply(X_181,commutator(X_180,X_181))) != commutator(X_180,X_181)
| commutator(X_471,commutator(multiply(X_180,X_181),multiply(X_181,commutator(X_180,X_181)))) = commutator(X_471,commutator(X_180,X_181)) ),
inference(resolve,[$cnf( $equal(commutator(X_471,commutator(multiply(X_180,X_181),multiply(X_181,commutator(X_180,X_181)))),commutator(X_471,commutator(multiply(X_180,X_181),multiply(X_181,commutator(X_180,X_181))))) )],[refute_0_1814,refute_0_1815]) ).
cnf(refute_0_1817,plain,
commutator(X_471,commutator(multiply(X_180,X_181),multiply(X_181,commutator(X_180,X_181)))) = commutator(X_471,commutator(X_180,X_181)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_180,X_181),multiply(X_181,commutator(X_180,X_181))),commutator(X_180,X_181)) )],[refute_0_1813,refute_0_1816]) ).
cnf(refute_0_1818,plain,
multiply(commutator(X_468,commutator(X_469,X_467)),inverse(multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))))) = inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))))),
inference(subst,[],[refute_0_598:[bind(X_10,$fot(commutator(X_468,commutator(X_467,X_469)))),bind(X_58,$fot(commutator(X_468,commutator(X_469,X_467))))]]) ).
cnf(refute_0_1819,plain,
commutator(commutator(X_282,commutator(X_283,X_27)),X_27) = multiply(commutator(X_282,commutator(X_283,X_27)),multiply(X_27,inverse(multiply(X_27,commutator(X_282,commutator(X_283,X_27)))))),
inference(subst,[],[refute_0_1317:[bind(X_41,$fot(commutator(X_282,commutator(X_283,X_27))))]]) ).
cnf(refute_0_1820,plain,
multiply(commutator(X_255,X_256),multiply(X_10,inverse(commutator(X_255,X_256)))) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,multiply(X_10,inverse(commutator(X_255,X_256)))))),
inference(subst,[],[refute_0_246:[bind(X,$fot(X_255)),bind(Y,$fot(X_256)),bind(X_11,$fot(multiply(X_10,inverse(commutator(X_255,X_256)))))]]) ).
cnf(refute_0_1821,plain,
multiply(commutator(X_255,X_256),multiply(X_10,inverse(commutator(X_255,X_256)))) = multiply(X_10,commutator(commutator(X_255,X_256),X_10)),
inference(subst,[],[refute_0_933:[bind(X_90,$fot(commutator(X_255,X_256)))]]) ).
cnf(refute_0_1822,plain,
( multiply(commutator(X_255,X_256),multiply(X_10,inverse(commutator(X_255,X_256)))) != multiply(X_10,commutator(commutator(X_255,X_256),X_10))
| multiply(commutator(X_255,X_256),multiply(X_10,inverse(commutator(X_255,X_256)))) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,multiply(X_10,inverse(commutator(X_255,X_256))))))
| multiply(X_10,commutator(commutator(X_255,X_256),X_10)) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,multiply(X_10,inverse(commutator(X_255,X_256)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_255,X_256),multiply(X_10,inverse(commutator(X_255,X_256)))),multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,multiply(X_10,inverse(commutator(X_255,X_256))))))) ),[0],$fot(multiply(X_10,commutator(commutator(X_255,X_256),X_10)))]]) ).
cnf(refute_0_1823,plain,
( multiply(commutator(X_255,X_256),multiply(X_10,inverse(commutator(X_255,X_256)))) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,multiply(X_10,inverse(commutator(X_255,X_256))))))
| multiply(X_10,commutator(commutator(X_255,X_256),X_10)) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,multiply(X_10,inverse(commutator(X_255,X_256)))))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,X_256),multiply(X_10,inverse(commutator(X_255,X_256)))),multiply(X_10,commutator(commutator(X_255,X_256),X_10))) )],[refute_0_1821,refute_0_1822]) ).
cnf(refute_0_1824,plain,
multiply(X_10,commutator(commutator(X_255,X_256),X_10)) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,multiply(X_10,inverse(commutator(X_255,X_256)))))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,X_256),multiply(X_10,inverse(commutator(X_255,X_256)))),multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,multiply(X_10,inverse(commutator(X_255,X_256))))))) )],[refute_0_1820,refute_0_1823]) ).
cnf(refute_0_1825,plain,
( multiply(X_10,commutator(commutator(X_255,X_256),X_10)) != multiply(X_10,commutator(X_255,commutator(X_256,X_10)))
| multiply(X_10,commutator(commutator(X_255,X_256),X_10)) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,multiply(X_10,inverse(commutator(X_255,X_256))))))
| multiply(X_10,commutator(X_255,commutator(X_256,X_10))) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,multiply(X_10,inverse(commutator(X_255,X_256)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_10,commutator(commutator(X_255,X_256),X_10)),multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,multiply(X_10,inverse(commutator(X_255,X_256))))))) ),[0],$fot(multiply(X_10,commutator(X_255,commutator(X_256,X_10))))]]) ).
cnf(refute_0_1826,plain,
( multiply(X_10,commutator(commutator(X_255,X_256),X_10)) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,multiply(X_10,inverse(commutator(X_255,X_256))))))
| multiply(X_10,commutator(X_255,commutator(X_256,X_10))) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,multiply(X_10,inverse(commutator(X_255,X_256)))))) ),
inference(resolve,[$cnf( $equal(multiply(X_10,commutator(commutator(X_255,X_256),X_10)),multiply(X_10,commutator(X_255,commutator(X_256,X_10)))) )],[refute_0_607,refute_0_1825]) ).
cnf(refute_0_1827,plain,
inverse(commutator(X_255,X_256)) = commutator(X_256,X_255),
inference(subst,[],[refute_0_386:[bind(X,$fot(X_256)),bind(Y,$fot(X_255))]]) ).
cnf(refute_0_1828,plain,
multiply(X_10,inverse(commutator(X_255,X_256))) = multiply(X_10,inverse(commutator(X_255,X_256))),
introduced(tautology,[refl,[$fot(multiply(X_10,inverse(commutator(X_255,X_256))))]]) ).
cnf(refute_0_1829,plain,
( multiply(X_10,inverse(commutator(X_255,X_256))) != multiply(X_10,inverse(commutator(X_255,X_256)))
| inverse(commutator(X_255,X_256)) != commutator(X_256,X_255)
| multiply(X_10,inverse(commutator(X_255,X_256))) = multiply(X_10,commutator(X_256,X_255)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_10,inverse(commutator(X_255,X_256))),multiply(X_10,inverse(commutator(X_255,X_256)))) ),[1,1],$fot(commutator(X_256,X_255))]]) ).
cnf(refute_0_1830,plain,
( inverse(commutator(X_255,X_256)) != commutator(X_256,X_255)
| multiply(X_10,inverse(commutator(X_255,X_256))) = multiply(X_10,commutator(X_256,X_255)) ),
inference(resolve,[$cnf( $equal(multiply(X_10,inverse(commutator(X_255,X_256))),multiply(X_10,inverse(commutator(X_255,X_256)))) )],[refute_0_1828,refute_0_1829]) ).
cnf(refute_0_1831,plain,
multiply(X_10,inverse(commutator(X_255,X_256))) = multiply(X_10,commutator(X_256,X_255)),
inference(resolve,[$cnf( $equal(inverse(commutator(X_255,X_256)),commutator(X_256,X_255)) )],[refute_0_1827,refute_0_1830]) ).
cnf(refute_0_1832,plain,
multiply(commutator(X_255,X_256),multiply(X_10,inverse(commutator(X_255,X_256)))) = multiply(commutator(X_255,X_256),multiply(X_10,inverse(commutator(X_255,X_256)))),
introduced(tautology,[refl,[$fot(multiply(commutator(X_255,X_256),multiply(X_10,inverse(commutator(X_255,X_256)))))]]) ).
cnf(refute_0_1833,plain,
( multiply(X_10,inverse(commutator(X_255,X_256))) != multiply(X_10,commutator(X_256,X_255))
| multiply(commutator(X_255,X_256),multiply(X_10,inverse(commutator(X_255,X_256)))) != multiply(commutator(X_255,X_256),multiply(X_10,inverse(commutator(X_255,X_256))))
| multiply(commutator(X_255,X_256),multiply(X_10,inverse(commutator(X_255,X_256)))) = multiply(commutator(X_255,X_256),multiply(X_10,commutator(X_256,X_255))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_255,X_256),multiply(X_10,inverse(commutator(X_255,X_256)))),multiply(commutator(X_255,X_256),multiply(X_10,inverse(commutator(X_255,X_256))))) ),[1,1],$fot(multiply(X_10,commutator(X_256,X_255)))]]) ).
cnf(refute_0_1834,plain,
( multiply(X_10,inverse(commutator(X_255,X_256))) != multiply(X_10,commutator(X_256,X_255))
| multiply(commutator(X_255,X_256),multiply(X_10,inverse(commutator(X_255,X_256)))) = multiply(commutator(X_255,X_256),multiply(X_10,commutator(X_256,X_255))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,X_256),multiply(X_10,inverse(commutator(X_255,X_256)))),multiply(commutator(X_255,X_256),multiply(X_10,inverse(commutator(X_255,X_256))))) )],[refute_0_1832,refute_0_1833]) ).
cnf(refute_0_1835,plain,
multiply(commutator(X_255,X_256),multiply(X_10,inverse(commutator(X_255,X_256)))) = multiply(commutator(X_255,X_256),multiply(X_10,commutator(X_256,X_255))),
inference(resolve,[$cnf( $equal(multiply(X_10,inverse(commutator(X_255,X_256))),multiply(X_10,commutator(X_256,X_255))) )],[refute_0_1831,refute_0_1834]) ).
cnf(refute_0_1836,plain,
multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,multiply(X_10,inverse(commutator(X_255,X_256)))))) = multiply(commutator(X_255,X_256),multiply(X_10,inverse(commutator(X_255,X_256)))),
inference(subst,[],[refute_0_621:[bind(X,$fot(X_255)),bind(Y,$fot(X_256)),bind(X_11,$fot(multiply(X_10,inverse(commutator(X_255,X_256)))))]]) ).
cnf(refute_0_1837,plain,
( multiply(commutator(X_255,X_256),multiply(X_10,inverse(commutator(X_255,X_256)))) != multiply(commutator(X_255,X_256),multiply(X_10,commutator(X_256,X_255)))
| multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,multiply(X_10,inverse(commutator(X_255,X_256)))))) != multiply(commutator(X_255,X_256),multiply(X_10,inverse(commutator(X_255,X_256))))
| multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,multiply(X_10,inverse(commutator(X_255,X_256)))))) = multiply(commutator(X_255,X_256),multiply(X_10,commutator(X_256,X_255))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,multiply(X_10,inverse(commutator(X_255,X_256)))))))),bind(Y0,$fot(multiply(commutator(X_255,X_256),multiply(X_10,inverse(commutator(X_255,X_256)))))),bind(Z0,$fot(multiply(commutator(X_255,X_256),multiply(X_10,commutator(X_256,X_255)))))]]) ).
cnf(refute_0_1838,plain,
( multiply(commutator(X_255,X_256),multiply(X_10,inverse(commutator(X_255,X_256)))) != multiply(commutator(X_255,X_256),multiply(X_10,commutator(X_256,X_255)))
| multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,multiply(X_10,inverse(commutator(X_255,X_256)))))) = multiply(commutator(X_255,X_256),multiply(X_10,commutator(X_256,X_255))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,multiply(X_10,inverse(commutator(X_255,X_256)))))),multiply(commutator(X_255,X_256),multiply(X_10,inverse(commutator(X_255,X_256))))) )],[refute_0_1836,refute_0_1837]) ).
cnf(refute_0_1839,plain,
multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,multiply(X_10,inverse(commutator(X_255,X_256)))))) = multiply(commutator(X_255,X_256),multiply(X_10,commutator(X_256,X_255))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,X_256),multiply(X_10,inverse(commutator(X_255,X_256)))),multiply(commutator(X_255,X_256),multiply(X_10,commutator(X_256,X_255)))) )],[refute_0_1835,refute_0_1838]) ).
cnf(refute_0_1840,plain,
( multiply(X_10,commutator(X_255,commutator(X_256,X_10))) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,multiply(X_10,inverse(commutator(X_255,X_256))))))
| multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,multiply(X_10,inverse(commutator(X_255,X_256)))))) != multiply(commutator(X_255,X_256),multiply(X_10,commutator(X_256,X_255)))
| multiply(X_10,commutator(X_255,commutator(X_256,X_10))) = multiply(commutator(X_255,X_256),multiply(X_10,commutator(X_256,X_255))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_10,commutator(X_255,commutator(X_256,X_10))),multiply(commutator(X_255,X_256),multiply(X_10,commutator(X_256,X_255)))) ),[0],$fot(multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,multiply(X_10,inverse(commutator(X_255,X_256)))))))]]) ).
cnf(refute_0_1841,plain,
( multiply(X_10,commutator(X_255,commutator(X_256,X_10))) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,multiply(X_10,inverse(commutator(X_255,X_256))))))
| multiply(X_10,commutator(X_255,commutator(X_256,X_10))) = multiply(commutator(X_255,X_256),multiply(X_10,commutator(X_256,X_255))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,multiply(X_10,inverse(commutator(X_255,X_256)))))),multiply(commutator(X_255,X_256),multiply(X_10,commutator(X_256,X_255)))) )],[refute_0_1839,refute_0_1840]) ).
cnf(refute_0_1842,plain,
( multiply(X_10,commutator(commutator(X_255,X_256),X_10)) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,multiply(X_10,inverse(commutator(X_255,X_256))))))
| multiply(X_10,commutator(X_255,commutator(X_256,X_10))) = multiply(commutator(X_255,X_256),multiply(X_10,commutator(X_256,X_255))) ),
inference(resolve,[$cnf( $equal(multiply(X_10,commutator(X_255,commutator(X_256,X_10))),multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,multiply(X_10,inverse(commutator(X_255,X_256))))))) )],[refute_0_1826,refute_0_1841]) ).
cnf(refute_0_1843,plain,
multiply(X_10,commutator(X_255,commutator(X_256,X_10))) = multiply(commutator(X_255,X_256),multiply(X_10,commutator(X_256,X_255))),
inference(resolve,[$cnf( $equal(multiply(X_10,commutator(commutator(X_255,X_256),X_10)),multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,multiply(X_10,inverse(commutator(X_255,X_256))))))) )],[refute_0_1824,refute_0_1842]) ).
cnf(refute_0_1844,plain,
multiply(X_27,commutator(X_282,commutator(X_283,X_27))) = multiply(commutator(X_282,X_283),multiply(X_27,commutator(X_283,X_282))),
inference(subst,[],[refute_0_1843:[bind(X_10,$fot(X_27)),bind(X_255,$fot(X_282)),bind(X_256,$fot(X_283))]]) ).
cnf(refute_0_1845,plain,
( multiply(X_27,commutator(X_282,commutator(X_283,X_27))) != multiply(commutator(X_282,X_283),multiply(X_27,commutator(X_283,X_282)))
| commutator(commutator(X_282,commutator(X_283,X_27)),X_27) != multiply(commutator(X_282,commutator(X_283,X_27)),multiply(X_27,inverse(multiply(X_27,commutator(X_282,commutator(X_283,X_27))))))
| commutator(commutator(X_282,commutator(X_283,X_27)),X_27) = multiply(commutator(X_282,commutator(X_283,X_27)),multiply(X_27,inverse(multiply(commutator(X_282,X_283),multiply(X_27,commutator(X_283,X_282)))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(X_282,commutator(X_283,X_27)),X_27),multiply(commutator(X_282,commutator(X_283,X_27)),multiply(X_27,inverse(multiply(X_27,commutator(X_282,commutator(X_283,X_27))))))) ),[1,1,1,0],$fot(multiply(commutator(X_282,X_283),multiply(X_27,commutator(X_283,X_282))))]]) ).
cnf(refute_0_1846,plain,
( commutator(commutator(X_282,commutator(X_283,X_27)),X_27) != multiply(commutator(X_282,commutator(X_283,X_27)),multiply(X_27,inverse(multiply(X_27,commutator(X_282,commutator(X_283,X_27))))))
| commutator(commutator(X_282,commutator(X_283,X_27)),X_27) = multiply(commutator(X_282,commutator(X_283,X_27)),multiply(X_27,inverse(multiply(commutator(X_282,X_283),multiply(X_27,commutator(X_283,X_282)))))) ),
inference(resolve,[$cnf( $equal(multiply(X_27,commutator(X_282,commutator(X_283,X_27))),multiply(commutator(X_282,X_283),multiply(X_27,commutator(X_283,X_282)))) )],[refute_0_1844,refute_0_1845]) ).
cnf(refute_0_1847,plain,
commutator(commutator(X_282,commutator(X_283,X_27)),X_27) = multiply(commutator(X_282,commutator(X_283,X_27)),multiply(X_27,inverse(multiply(commutator(X_282,X_283),multiply(X_27,commutator(X_283,X_282)))))),
inference(resolve,[$cnf( $equal(commutator(commutator(X_282,commutator(X_283,X_27)),X_27),multiply(commutator(X_282,commutator(X_283,X_27)),multiply(X_27,inverse(multiply(X_27,commutator(X_282,commutator(X_283,X_27))))))) )],[refute_0_1819,refute_0_1846]) ).
cnf(refute_0_1848,plain,
commutator(X,inverse(identity)) = multiply(inverse(X),multiply(inverse(inverse(identity)),multiply(X,inverse(identity)))),
inference(subst,[],[name:[bind(Y,$fot(inverse(identity)))]]) ).
cnf(refute_0_1849,plain,
multiply(X,inverse(identity)) = multiply(inverse(inverse(identity)),multiply(X,inverse(identity))),
inference(subst,[],[refute_0_1149:[bind(X_11,$fot(multiply(X,inverse(identity))))]]) ).
cnf(refute_0_1850,plain,
( multiply(X,inverse(identity)) != multiply(inverse(inverse(identity)),multiply(X,inverse(identity)))
| multiply(inverse(inverse(identity)),multiply(X,inverse(identity))) = multiply(X,inverse(identity)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(X,inverse(identity)))),bind(Y0,$fot(multiply(inverse(inverse(identity)),multiply(X,inverse(identity)))))]]) ).
cnf(refute_0_1851,plain,
multiply(inverse(inverse(identity)),multiply(X,inverse(identity))) = multiply(X,inverse(identity)),
inference(resolve,[$cnf( $equal(multiply(X,inverse(identity)),multiply(inverse(inverse(identity)),multiply(X,inverse(identity)))) )],[refute_0_1849,refute_0_1850]) ).
cnf(refute_0_1852,plain,
( multiply(inverse(inverse(identity)),multiply(X,inverse(identity))) != multiply(X,inverse(identity))
| commutator(X,inverse(identity)) != multiply(inverse(X),multiply(inverse(inverse(identity)),multiply(X,inverse(identity))))
| commutator(X,inverse(identity)) = multiply(inverse(X),multiply(X,inverse(identity))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X,inverse(identity)),multiply(inverse(X),multiply(inverse(inverse(identity)),multiply(X,inverse(identity))))) ),[1,1],$fot(multiply(X,inverse(identity)))]]) ).
cnf(refute_0_1853,plain,
( commutator(X,inverse(identity)) != multiply(inverse(X),multiply(inverse(inverse(identity)),multiply(X,inverse(identity))))
| commutator(X,inverse(identity)) = multiply(inverse(X),multiply(X,inverse(identity))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(identity)),multiply(X,inverse(identity))),multiply(X,inverse(identity))) )],[refute_0_1851,refute_0_1852]) ).
cnf(refute_0_1854,plain,
commutator(X,inverse(identity)) = multiply(inverse(X),multiply(X,inverse(identity))),
inference(resolve,[$cnf( $equal(commutator(X,inverse(identity)),multiply(inverse(X),multiply(inverse(inverse(identity)),multiply(X,inverse(identity))))) )],[refute_0_1848,refute_0_1853]) ).
cnf(refute_0_1855,plain,
multiply(inverse(X),multiply(X,inverse(identity))) = inverse(identity),
inference(subst,[],[refute_0_39:[bind(X_10,$fot(X)),bind(X_11,$fot(inverse(identity)))]]) ).
cnf(refute_0_1856,plain,
( multiply(inverse(X),multiply(X,inverse(identity))) != inverse(identity)
| commutator(X,inverse(identity)) != multiply(inverse(X),multiply(X,inverse(identity)))
| commutator(X,inverse(identity)) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X,inverse(identity)),multiply(inverse(X),multiply(X,inverse(identity)))) ),[1],$fot(inverse(identity))]]) ).
cnf(refute_0_1857,plain,
( commutator(X,inverse(identity)) != multiply(inverse(X),multiply(X,inverse(identity)))
| commutator(X,inverse(identity)) = inverse(identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X),multiply(X,inverse(identity))),inverse(identity)) )],[refute_0_1855,refute_0_1856]) ).
cnf(refute_0_1858,plain,
commutator(X,inverse(identity)) = inverse(identity),
inference(resolve,[$cnf( $equal(commutator(X,inverse(identity)),multiply(inverse(X),multiply(X,inverse(identity)))) )],[refute_0_1854,refute_0_1857]) ).
cnf(refute_0_1859,plain,
commutator(X,inverse(identity)) = commutator(X,inverse(identity)),
introduced(tautology,[refl,[$fot(commutator(X,inverse(identity)))]]) ).
cnf(refute_0_1860,plain,
( commutator(X,inverse(identity)) != commutator(X,inverse(identity))
| inverse(identity) != identity
| commutator(X,inverse(identity)) = commutator(X,identity) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X,inverse(identity)),commutator(X,inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_1861,plain,
( inverse(identity) != identity
| commutator(X,inverse(identity)) = commutator(X,identity) ),
inference(resolve,[$cnf( $equal(commutator(X,inverse(identity)),commutator(X,inverse(identity))) )],[refute_0_1859,refute_0_1860]) ).
cnf(refute_0_1862,plain,
commutator(X,inverse(identity)) = commutator(X,identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_1155,refute_0_1861]) ).
cnf(refute_0_1863,plain,
( commutator(X,inverse(identity)) != commutator(X,identity)
| commutator(X,inverse(identity)) != inverse(identity)
| commutator(X,identity) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X,inverse(identity)),inverse(identity)) ),[0],$fot(commutator(X,identity))]]) ).
cnf(refute_0_1864,plain,
( commutator(X,inverse(identity)) != inverse(identity)
| commutator(X,identity) = inverse(identity) ),
inference(resolve,[$cnf( $equal(commutator(X,inverse(identity)),commutator(X,identity)) )],[refute_0_1862,refute_0_1863]) ).
cnf(refute_0_1865,plain,
( commutator(X,identity) != inverse(identity)
| inverse(identity) != identity
| commutator(X,identity) = identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(X,identity),identity) ),[0],$fot(inverse(identity))]]) ).
cnf(refute_0_1866,plain,
( commutator(X,identity) != inverse(identity)
| commutator(X,identity) = identity ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_1155,refute_0_1865]) ).
cnf(refute_0_1867,plain,
( commutator(X,inverse(identity)) != inverse(identity)
| commutator(X,identity) = identity ),
inference(resolve,[$cnf( $equal(commutator(X,identity),inverse(identity)) )],[refute_0_1864,refute_0_1866]) ).
cnf(refute_0_1868,plain,
commutator(X,identity) = identity,
inference(resolve,[$cnf( $equal(commutator(X,inverse(identity)),inverse(identity)) )],[refute_0_1858,refute_0_1867]) ).
cnf(refute_0_1869,plain,
commutator(X_282,identity) = identity,
inference(subst,[],[refute_0_1868:[bind(X,$fot(X_282))]]) ).
cnf(refute_0_1870,plain,
commutator(X_27,commutator(X_283,X_27)) = identity,
inference(subst,[],[refute_0_1159:[bind(Z,$fot(X_283)),bind(X_66,$fot(X_27))]]) ).
cnf(refute_0_1871,plain,
commutator(X_282,commutator(X_27,commutator(X_283,X_27))) = commutator(X_282,commutator(X_27,commutator(X_283,X_27))),
introduced(tautology,[refl,[$fot(commutator(X_282,commutator(X_27,commutator(X_283,X_27))))]]) ).
cnf(refute_0_1872,plain,
( commutator(X_27,commutator(X_283,X_27)) != identity
| commutator(X_282,commutator(X_27,commutator(X_283,X_27))) != commutator(X_282,commutator(X_27,commutator(X_283,X_27)))
| commutator(X_282,commutator(X_27,commutator(X_283,X_27))) = commutator(X_282,identity) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_282,commutator(X_27,commutator(X_283,X_27))),commutator(X_282,commutator(X_27,commutator(X_283,X_27)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_1873,plain,
( commutator(X_27,commutator(X_283,X_27)) != identity
| commutator(X_282,commutator(X_27,commutator(X_283,X_27))) = commutator(X_282,identity) ),
inference(resolve,[$cnf( $equal(commutator(X_282,commutator(X_27,commutator(X_283,X_27))),commutator(X_282,commutator(X_27,commutator(X_283,X_27)))) )],[refute_0_1871,refute_0_1872]) ).
cnf(refute_0_1874,plain,
commutator(X_282,commutator(X_27,commutator(X_283,X_27))) = commutator(X_282,identity),
inference(resolve,[$cnf( $equal(commutator(X_27,commutator(X_283,X_27)),identity) )],[refute_0_1870,refute_0_1873]) ).
cnf(refute_0_1875,plain,
( commutator(X_282,commutator(X_27,commutator(X_283,X_27))) != commutator(X_282,identity)
| commutator(X_282,identity) != identity
| commutator(X_282,commutator(X_27,commutator(X_283,X_27))) = identity ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(X_282,commutator(X_27,commutator(X_283,X_27))))),bind(Y0,$fot(commutator(X_282,identity))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_1876,plain,
( commutator(X_282,identity) != identity
| commutator(X_282,commutator(X_27,commutator(X_283,X_27))) = identity ),
inference(resolve,[$cnf( $equal(commutator(X_282,commutator(X_27,commutator(X_283,X_27))),commutator(X_282,identity)) )],[refute_0_1874,refute_0_1875]) ).
cnf(refute_0_1877,plain,
commutator(X_282,commutator(X_27,commutator(X_283,X_27))) = identity,
inference(resolve,[$cnf( $equal(commutator(X_282,identity),identity) )],[refute_0_1869,refute_0_1876]) ).
cnf(refute_0_1878,plain,
multiply(commutator(X_136,X_10),inverse(multiply(X_10,commutator(X_136,X_10)))) = inverse(X_10),
inference(subst,[],[refute_0_176:[bind(X_57,$fot(commutator(X_136,X_10)))]]) ).
cnf(refute_0_1879,plain,
multiply(X_136,inverse(multiply(X_136,X_10))) = inverse(multiply(X_10,commutator(X_136,X_10))),
inference(subst,[],[refute_0_598:[bind(X_58,$fot(X_136))]]) ).
cnf(refute_0_1880,plain,
( multiply(X_136,inverse(multiply(X_136,X_10))) != inverse(multiply(X_10,commutator(X_136,X_10)))
| inverse(multiply(X_10,commutator(X_136,X_10))) = multiply(X_136,inverse(multiply(X_136,X_10))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(X_136,inverse(multiply(X_136,X_10))))),bind(Y0,$fot(inverse(multiply(X_10,commutator(X_136,X_10)))))]]) ).
cnf(refute_0_1881,plain,
inverse(multiply(X_10,commutator(X_136,X_10))) = multiply(X_136,inverse(multiply(X_136,X_10))),
inference(resolve,[$cnf( $equal(multiply(X_136,inverse(multiply(X_136,X_10))),inverse(multiply(X_10,commutator(X_136,X_10)))) )],[refute_0_1879,refute_0_1880]) ).
cnf(refute_0_1882,plain,
( multiply(commutator(X_136,X_10),inverse(multiply(X_10,commutator(X_136,X_10)))) != inverse(X_10)
| inverse(multiply(X_10,commutator(X_136,X_10))) != multiply(X_136,inverse(multiply(X_136,X_10)))
| multiply(commutator(X_136,X_10),multiply(X_136,inverse(multiply(X_136,X_10)))) = inverse(X_10) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_136,X_10),inverse(multiply(X_10,commutator(X_136,X_10)))),inverse(X_10)) ),[0,1],$fot(multiply(X_136,inverse(multiply(X_136,X_10))))]]) ).
cnf(refute_0_1883,plain,
( multiply(commutator(X_136,X_10),inverse(multiply(X_10,commutator(X_136,X_10)))) != inverse(X_10)
| multiply(commutator(X_136,X_10),multiply(X_136,inverse(multiply(X_136,X_10)))) = inverse(X_10) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,commutator(X_136,X_10))),multiply(X_136,inverse(multiply(X_136,X_10)))) )],[refute_0_1881,refute_0_1882]) ).
cnf(refute_0_1884,plain,
multiply(commutator(X_136,X_10),multiply(X_136,inverse(multiply(X_136,X_10)))) = inverse(X_10),
inference(resolve,[$cnf( $equal(multiply(commutator(X_136,X_10),inverse(multiply(X_10,commutator(X_136,X_10)))),inverse(X_10)) )],[refute_0_1878,refute_0_1883]) ).
cnf(refute_0_1885,plain,
multiply(commutator(X_136,commutator(X_217,commutator(X_218,X_136))),multiply(X_136,inverse(multiply(X_136,commutator(X_217,commutator(X_218,X_136)))))) = inverse(commutator(X_217,commutator(X_218,X_136))),
inference(subst,[],[refute_0_1884:[bind(X_10,$fot(commutator(X_217,commutator(X_218,X_136))))]]) ).
cnf(refute_0_1886,plain,
commutator(X_70,commutator(commutator(X,Y),X_70)) = identity,
inference(subst,[],[refute_0_1159:[bind(Z,$fot(commutator(X,Y))),bind(X_66,$fot(X_70))]]) ).
cnf(refute_0_1887,plain,
commutator(commutator(X,Y),X_70) = commutator(X,commutator(Y,X_70)),
inference(subst,[],[associativity_of_commutator:[bind(Z,$fot(X_70))]]) ).
cnf(refute_0_1888,plain,
( commutator(X_70,commutator(commutator(X,Y),X_70)) != identity
| commutator(commutator(X,Y),X_70) != commutator(X,commutator(Y,X_70))
| commutator(X_70,commutator(X,commutator(Y,X_70))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_70,commutator(commutator(X,Y),X_70)),identity) ),[0,1],$fot(commutator(X,commutator(Y,X_70)))]]) ).
cnf(refute_0_1889,plain,
( commutator(X_70,commutator(commutator(X,Y),X_70)) != identity
| commutator(X_70,commutator(X,commutator(Y,X_70))) = identity ),
inference(resolve,[$cnf( $equal(commutator(commutator(X,Y),X_70),commutator(X,commutator(Y,X_70))) )],[refute_0_1887,refute_0_1888]) ).
cnf(refute_0_1890,plain,
commutator(X_70,commutator(X,commutator(Y,X_70))) = identity,
inference(resolve,[$cnf( $equal(commutator(X_70,commutator(commutator(X,Y),X_70)),identity) )],[refute_0_1886,refute_0_1889]) ).
cnf(refute_0_1891,plain,
commutator(X_136,commutator(X_217,commutator(X_218,X_136))) = identity,
inference(subst,[],[refute_0_1890:[bind(X,$fot(X_217)),bind(Y,$fot(X_218)),bind(X_70,$fot(X_136))]]) ).
cnf(refute_0_1892,plain,
( multiply(commutator(X_136,commutator(X_217,commutator(X_218,X_136))),multiply(X_136,inverse(multiply(X_136,commutator(X_217,commutator(X_218,X_136)))))) != inverse(commutator(X_217,commutator(X_218,X_136)))
| commutator(X_136,commutator(X_217,commutator(X_218,X_136))) != identity
| multiply(identity,multiply(X_136,inverse(multiply(X_136,commutator(X_217,commutator(X_218,X_136)))))) = inverse(commutator(X_217,commutator(X_218,X_136))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_136,commutator(X_217,commutator(X_218,X_136))),multiply(X_136,inverse(multiply(X_136,commutator(X_217,commutator(X_218,X_136)))))),inverse(commutator(X_217,commutator(X_218,X_136)))) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_1893,plain,
( multiply(commutator(X_136,commutator(X_217,commutator(X_218,X_136))),multiply(X_136,inverse(multiply(X_136,commutator(X_217,commutator(X_218,X_136)))))) != inverse(commutator(X_217,commutator(X_218,X_136)))
| multiply(identity,multiply(X_136,inverse(multiply(X_136,commutator(X_217,commutator(X_218,X_136)))))) = inverse(commutator(X_217,commutator(X_218,X_136))) ),
inference(resolve,[$cnf( $equal(commutator(X_136,commutator(X_217,commutator(X_218,X_136))),identity) )],[refute_0_1891,refute_0_1892]) ).
cnf(refute_0_1894,plain,
multiply(identity,multiply(X_136,inverse(multiply(X_136,commutator(X_217,commutator(X_218,X_136)))))) = inverse(commutator(X_217,commutator(X_218,X_136))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_136,commutator(X_217,commutator(X_218,X_136))),multiply(X_136,inverse(multiply(X_136,commutator(X_217,commutator(X_218,X_136)))))),inverse(commutator(X_217,commutator(X_218,X_136)))) )],[refute_0_1885,refute_0_1893]) ).
cnf(refute_0_1895,plain,
multiply(X_136,inverse(multiply(X_136,commutator(X_136,Y)))) = inverse(multiply(commutator(X_136,Y),commutator(X_136,commutator(X_136,Y)))),
inference(subst,[],[refute_0_598:[bind(X_10,$fot(commutator(X_136,Y))),bind(X_58,$fot(X_136))]]) ).
cnf(refute_0_1896,plain,
multiply(inverse(Y),multiply(X_136,Y)) = multiply(X_136,commutator(X_136,Y)),
inference(subst,[],[refute_0_254:[bind(X_27,$fot(X_136))]]) ).
cnf(refute_0_1897,plain,
( multiply(inverse(Y),multiply(X_136,Y)) != multiply(X_136,commutator(X_136,Y))
| multiply(X_136,commutator(X_136,Y)) = multiply(inverse(Y),multiply(X_136,Y)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(inverse(Y),multiply(X_136,Y)))),bind(Y0,$fot(multiply(X_136,commutator(X_136,Y))))]]) ).
cnf(refute_0_1898,plain,
multiply(X_136,commutator(X_136,Y)) = multiply(inverse(Y),multiply(X_136,Y)),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),multiply(X_136,Y)),multiply(X_136,commutator(X_136,Y))) )],[refute_0_1896,refute_0_1897]) ).
cnf(refute_0_1899,plain,
( multiply(X_136,commutator(X_136,Y)) != multiply(inverse(Y),multiply(X_136,Y))
| multiply(X_136,inverse(multiply(X_136,commutator(X_136,Y)))) != inverse(multiply(commutator(X_136,Y),commutator(X_136,commutator(X_136,Y))))
| multiply(X_136,inverse(multiply(inverse(Y),multiply(X_136,Y)))) = inverse(multiply(commutator(X_136,Y),commutator(X_136,commutator(X_136,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_136,inverse(multiply(X_136,commutator(X_136,Y)))),inverse(multiply(commutator(X_136,Y),commutator(X_136,commutator(X_136,Y))))) ),[0,1,0],$fot(multiply(inverse(Y),multiply(X_136,Y)))]]) ).
cnf(refute_0_1900,plain,
( multiply(X_136,inverse(multiply(X_136,commutator(X_136,Y)))) != inverse(multiply(commutator(X_136,Y),commutator(X_136,commutator(X_136,Y))))
| multiply(X_136,inverse(multiply(inverse(Y),multiply(X_136,Y)))) = inverse(multiply(commutator(X_136,Y),commutator(X_136,commutator(X_136,Y)))) ),
inference(resolve,[$cnf( $equal(multiply(X_136,commutator(X_136,Y)),multiply(inverse(Y),multiply(X_136,Y))) )],[refute_0_1898,refute_0_1899]) ).
cnf(refute_0_1901,plain,
multiply(X_136,inverse(multiply(inverse(Y),multiply(X_136,Y)))) = inverse(multiply(commutator(X_136,Y),commutator(X_136,commutator(X_136,Y)))),
inference(resolve,[$cnf( $equal(multiply(X_136,inverse(multiply(X_136,commutator(X_136,Y)))),inverse(multiply(commutator(X_136,Y),commutator(X_136,commutator(X_136,Y))))) )],[refute_0_1895,refute_0_1900]) ).
cnf(refute_0_1902,plain,
commutator(inverse(X_15),X_16) = commutator(X_16,X_15),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(X_15)),bind(X_110,$fot(X_16))]]) ).
cnf(refute_0_1903,plain,
( commutator(inverse(X_15),X_16) != multiply(X_15,multiply(inverse(multiply(X_15,X_16)),X_16))
| commutator(inverse(X_15),X_16) != commutator(X_16,X_15)
| commutator(X_16,X_15) = multiply(X_15,multiply(inverse(multiply(X_15,X_16)),X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(X_15),X_16),multiply(X_15,multiply(inverse(multiply(X_15,X_16)),X_16))) ),[0],$fot(commutator(X_16,X_15))]]) ).
cnf(refute_0_1904,plain,
( commutator(inverse(X_15),X_16) != multiply(X_15,multiply(inverse(multiply(X_15,X_16)),X_16))
| commutator(X_16,X_15) = multiply(X_15,multiply(inverse(multiply(X_15,X_16)),X_16)) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_15),X_16),commutator(X_16,X_15)) )],[refute_0_1902,refute_0_1903]) ).
cnf(refute_0_1905,plain,
commutator(X_16,X_15) = multiply(X_15,multiply(inverse(multiply(X_15,X_16)),X_16)),
inference(resolve,[$cnf( $equal(commutator(inverse(X_15),X_16),multiply(X_15,multiply(inverse(multiply(X_15,X_16)),X_16))) )],[refute_0_462,refute_0_1904]) ).
cnf(refute_0_1906,plain,
( commutator(X_16,X_15) != multiply(X_15,multiply(inverse(multiply(X_15,X_16)),X_16))
| multiply(X_15,multiply(inverse(multiply(X_15,X_16)),X_16)) = commutator(X_16,X_15) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_16,X_15))),bind(Y0,$fot(multiply(X_15,multiply(inverse(multiply(X_15,X_16)),X_16))))]]) ).
cnf(refute_0_1907,plain,
multiply(X_15,multiply(inverse(multiply(X_15,X_16)),X_16)) = commutator(X_16,X_15),
inference(resolve,[$cnf( $equal(commutator(X_16,X_15),multiply(X_15,multiply(inverse(multiply(X_15,X_16)),X_16))) )],[refute_0_1905,refute_0_1906]) ).
cnf(refute_0_1908,plain,
multiply(X_136,multiply(inverse(multiply(X_136,Y)),Y)) = commutator(Y,X_136),
inference(subst,[],[refute_0_1907:[bind(X_15,$fot(X_136)),bind(X_16,$fot(Y))]]) ).
cnf(refute_0_1909,plain,
inverse(multiply(inverse(Y),multiply(X_136,Y))) = multiply(inverse(multiply(X_136,Y)),Y),
inference(subst,[],[refute_0_294:[bind(Z,$fot(multiply(X_136,Y))),bind(X_61,$fot(Y))]]) ).
cnf(refute_0_1910,plain,
multiply(X_136,inverse(multiply(inverse(Y),multiply(X_136,Y)))) = multiply(X_136,inverse(multiply(inverse(Y),multiply(X_136,Y)))),
introduced(tautology,[refl,[$fot(multiply(X_136,inverse(multiply(inverse(Y),multiply(X_136,Y)))))]]) ).
cnf(refute_0_1911,plain,
( multiply(X_136,inverse(multiply(inverse(Y),multiply(X_136,Y)))) != multiply(X_136,inverse(multiply(inverse(Y),multiply(X_136,Y))))
| inverse(multiply(inverse(Y),multiply(X_136,Y))) != multiply(inverse(multiply(X_136,Y)),Y)
| multiply(X_136,inverse(multiply(inverse(Y),multiply(X_136,Y)))) = multiply(X_136,multiply(inverse(multiply(X_136,Y)),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_136,inverse(multiply(inverse(Y),multiply(X_136,Y)))),multiply(X_136,inverse(multiply(inverse(Y),multiply(X_136,Y))))) ),[1,1],$fot(multiply(inverse(multiply(X_136,Y)),Y))]]) ).
cnf(refute_0_1912,plain,
( inverse(multiply(inverse(Y),multiply(X_136,Y))) != multiply(inverse(multiply(X_136,Y)),Y)
| multiply(X_136,inverse(multiply(inverse(Y),multiply(X_136,Y)))) = multiply(X_136,multiply(inverse(multiply(X_136,Y)),Y)) ),
inference(resolve,[$cnf( $equal(multiply(X_136,inverse(multiply(inverse(Y),multiply(X_136,Y)))),multiply(X_136,inverse(multiply(inverse(Y),multiply(X_136,Y))))) )],[refute_0_1910,refute_0_1911]) ).
cnf(refute_0_1913,plain,
multiply(X_136,inverse(multiply(inverse(Y),multiply(X_136,Y)))) = multiply(X_136,multiply(inverse(multiply(X_136,Y)),Y)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(Y),multiply(X_136,Y))),multiply(inverse(multiply(X_136,Y)),Y)) )],[refute_0_1909,refute_0_1912]) ).
cnf(refute_0_1914,plain,
( multiply(X_136,multiply(inverse(multiply(X_136,Y)),Y)) != commutator(Y,X_136)
| multiply(X_136,inverse(multiply(inverse(Y),multiply(X_136,Y)))) != multiply(X_136,multiply(inverse(multiply(X_136,Y)),Y))
| multiply(X_136,inverse(multiply(inverse(Y),multiply(X_136,Y)))) = commutator(Y,X_136) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_136,inverse(multiply(inverse(Y),multiply(X_136,Y)))))),bind(Y0,$fot(multiply(X_136,multiply(inverse(multiply(X_136,Y)),Y)))),bind(Z0,$fot(commutator(Y,X_136)))]]) ).
cnf(refute_0_1915,plain,
( multiply(X_136,multiply(inverse(multiply(X_136,Y)),Y)) != commutator(Y,X_136)
| multiply(X_136,inverse(multiply(inverse(Y),multiply(X_136,Y)))) = commutator(Y,X_136) ),
inference(resolve,[$cnf( $equal(multiply(X_136,inverse(multiply(inverse(Y),multiply(X_136,Y)))),multiply(X_136,multiply(inverse(multiply(X_136,Y)),Y))) )],[refute_0_1913,refute_0_1914]) ).
cnf(refute_0_1916,plain,
multiply(X_136,inverse(multiply(inverse(Y),multiply(X_136,Y)))) = commutator(Y,X_136),
inference(resolve,[$cnf( $equal(multiply(X_136,multiply(inverse(multiply(X_136,Y)),Y)),commutator(Y,X_136)) )],[refute_0_1908,refute_0_1915]) ).
cnf(refute_0_1917,plain,
( multiply(X_136,inverse(multiply(inverse(Y),multiply(X_136,Y)))) != commutator(Y,X_136)
| multiply(X_136,inverse(multiply(inverse(Y),multiply(X_136,Y)))) != inverse(multiply(commutator(X_136,Y),commutator(X_136,commutator(X_136,Y))))
| commutator(Y,X_136) = inverse(multiply(commutator(X_136,Y),commutator(X_136,commutator(X_136,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_136,inverse(multiply(inverse(Y),multiply(X_136,Y)))),inverse(multiply(commutator(X_136,Y),commutator(X_136,commutator(X_136,Y))))) ),[0],$fot(commutator(Y,X_136))]]) ).
cnf(refute_0_1918,plain,
( multiply(X_136,inverse(multiply(inverse(Y),multiply(X_136,Y)))) != inverse(multiply(commutator(X_136,Y),commutator(X_136,commutator(X_136,Y))))
| commutator(Y,X_136) = inverse(multiply(commutator(X_136,Y),commutator(X_136,commutator(X_136,Y)))) ),
inference(resolve,[$cnf( $equal(multiply(X_136,inverse(multiply(inverse(Y),multiply(X_136,Y)))),commutator(Y,X_136)) )],[refute_0_1916,refute_0_1917]) ).
cnf(refute_0_1919,plain,
inverse(multiply(commutator(X_136,Y),commutator(X_136,commutator(X_136,Y)))) = multiply(X_136,inverse(multiply(X_136,commutator(X_136,Y)))),
inference(subst,[],[refute_0_878:[bind(X_134,$fot(commutator(X_136,Y))),bind(X_58,$fot(X_136))]]) ).
cnf(refute_0_1920,plain,
( commutator(Y,X_136) != inverse(multiply(commutator(X_136,Y),commutator(X_136,commutator(X_136,Y))))
| inverse(multiply(commutator(X_136,Y),commutator(X_136,commutator(X_136,Y)))) != multiply(X_136,inverse(multiply(X_136,commutator(X_136,Y))))
| commutator(Y,X_136) = multiply(X_136,inverse(multiply(X_136,commutator(X_136,Y)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(Y,X_136),multiply(X_136,inverse(multiply(X_136,commutator(X_136,Y))))) ),[0],$fot(inverse(multiply(commutator(X_136,Y),commutator(X_136,commutator(X_136,Y)))))]]) ).
cnf(refute_0_1921,plain,
( commutator(Y,X_136) != inverse(multiply(commutator(X_136,Y),commutator(X_136,commutator(X_136,Y))))
| commutator(Y,X_136) = multiply(X_136,inverse(multiply(X_136,commutator(X_136,Y)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_136,Y),commutator(X_136,commutator(X_136,Y)))),multiply(X_136,inverse(multiply(X_136,commutator(X_136,Y))))) )],[refute_0_1919,refute_0_1920]) ).
cnf(refute_0_1922,plain,
( multiply(X_136,inverse(multiply(inverse(Y),multiply(X_136,Y)))) != inverse(multiply(commutator(X_136,Y),commutator(X_136,commutator(X_136,Y))))
| commutator(Y,X_136) = multiply(X_136,inverse(multiply(X_136,commutator(X_136,Y)))) ),
inference(resolve,[$cnf( $equal(commutator(Y,X_136),inverse(multiply(commutator(X_136,Y),commutator(X_136,commutator(X_136,Y))))) )],[refute_0_1918,refute_0_1921]) ).
cnf(refute_0_1923,plain,
commutator(Y,X_136) = multiply(X_136,inverse(multiply(X_136,commutator(X_136,Y)))),
inference(resolve,[$cnf( $equal(multiply(X_136,inverse(multiply(inverse(Y),multiply(X_136,Y)))),inverse(multiply(commutator(X_136,Y),commutator(X_136,commutator(X_136,Y))))) )],[refute_0_1901,refute_0_1922]) ).
cnf(refute_0_1924,plain,
commutator(commutator(X_188,X_190),X_136) = multiply(X_136,inverse(multiply(X_136,commutator(X_136,commutator(X_188,X_190))))),
inference(subst,[],[refute_0_1923:[bind(Y,$fot(commutator(X_188,X_190)))]]) ).
cnf(refute_0_1925,plain,
commutator(X_136,commutator(X_188,X_190)) = commutator(X_190,commutator(X_188,X_136)),
inference(subst,[],[refute_0_1341:[bind(Z,$fot(X_188)),bind(X_169,$fot(X_136)),bind(X_170,$fot(X_190))]]) ).
cnf(refute_0_1926,plain,
( commutator(X_136,commutator(X_188,X_190)) != commutator(X_190,commutator(X_188,X_136))
| commutator(commutator(X_188,X_190),X_136) != multiply(X_136,inverse(multiply(X_136,commutator(X_136,commutator(X_188,X_190)))))
| commutator(commutator(X_188,X_190),X_136) = multiply(X_136,inverse(multiply(X_136,commutator(X_190,commutator(X_188,X_136))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(X_188,X_190),X_136),multiply(X_136,inverse(multiply(X_136,commutator(X_136,commutator(X_188,X_190)))))) ),[1,1,0,1],$fot(commutator(X_190,commutator(X_188,X_136)))]]) ).
cnf(refute_0_1927,plain,
( commutator(commutator(X_188,X_190),X_136) != multiply(X_136,inverse(multiply(X_136,commutator(X_136,commutator(X_188,X_190)))))
| commutator(commutator(X_188,X_190),X_136) = multiply(X_136,inverse(multiply(X_136,commutator(X_190,commutator(X_188,X_136))))) ),
inference(resolve,[$cnf( $equal(commutator(X_136,commutator(X_188,X_190)),commutator(X_190,commutator(X_188,X_136))) )],[refute_0_1925,refute_0_1926]) ).
cnf(refute_0_1928,plain,
commutator(commutator(X_188,X_190),X_136) = multiply(X_136,inverse(multiply(X_136,commutator(X_190,commutator(X_188,X_136))))),
inference(resolve,[$cnf( $equal(commutator(commutator(X_188,X_190),X_136),multiply(X_136,inverse(multiply(X_136,commutator(X_136,commutator(X_188,X_190)))))) )],[refute_0_1924,refute_0_1927]) ).
cnf(refute_0_1929,plain,
commutator(commutator(X_188,X_190),X_136) = commutator(X_188,commutator(X_190,X_136)),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(X_188)),bind(Y,$fot(X_190)),bind(Z,$fot(X_136))]]) ).
cnf(refute_0_1930,plain,
( commutator(commutator(X_188,X_190),X_136) != multiply(X_136,inverse(multiply(X_136,commutator(X_190,commutator(X_188,X_136)))))
| commutator(commutator(X_188,X_190),X_136) != commutator(X_188,commutator(X_190,X_136))
| commutator(X_188,commutator(X_190,X_136)) = multiply(X_136,inverse(multiply(X_136,commutator(X_190,commutator(X_188,X_136))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(X_188,X_190),X_136),multiply(X_136,inverse(multiply(X_136,commutator(X_190,commutator(X_188,X_136)))))) ),[0],$fot(commutator(X_188,commutator(X_190,X_136)))]]) ).
cnf(refute_0_1931,plain,
( commutator(commutator(X_188,X_190),X_136) != multiply(X_136,inverse(multiply(X_136,commutator(X_190,commutator(X_188,X_136)))))
| commutator(X_188,commutator(X_190,X_136)) = multiply(X_136,inverse(multiply(X_136,commutator(X_190,commutator(X_188,X_136))))) ),
inference(resolve,[$cnf( $equal(commutator(commutator(X_188,X_190),X_136),commutator(X_188,commutator(X_190,X_136))) )],[refute_0_1929,refute_0_1930]) ).
cnf(refute_0_1932,plain,
commutator(X_188,commutator(X_190,X_136)) = multiply(X_136,inverse(multiply(X_136,commutator(X_190,commutator(X_188,X_136))))),
inference(resolve,[$cnf( $equal(commutator(commutator(X_188,X_190),X_136),multiply(X_136,inverse(multiply(X_136,commutator(X_190,commutator(X_188,X_136)))))) )],[refute_0_1928,refute_0_1931]) ).
cnf(refute_0_1933,plain,
( commutator(X_188,commutator(X_190,X_136)) != multiply(X_136,inverse(multiply(X_136,commutator(X_190,commutator(X_188,X_136)))))
| multiply(X_136,inverse(multiply(X_136,commutator(X_190,commutator(X_188,X_136))))) = commutator(X_188,commutator(X_190,X_136)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_188,commutator(X_190,X_136)))),bind(Y0,$fot(multiply(X_136,inverse(multiply(X_136,commutator(X_190,commutator(X_188,X_136)))))))]]) ).
cnf(refute_0_1934,plain,
multiply(X_136,inverse(multiply(X_136,commutator(X_190,commutator(X_188,X_136))))) = commutator(X_188,commutator(X_190,X_136)),
inference(resolve,[$cnf( $equal(commutator(X_188,commutator(X_190,X_136)),multiply(X_136,inverse(multiply(X_136,commutator(X_190,commutator(X_188,X_136)))))) )],[refute_0_1932,refute_0_1933]) ).
cnf(refute_0_1935,plain,
multiply(X_136,inverse(multiply(X_136,commutator(X_217,commutator(X_218,X_136))))) = commutator(X_218,commutator(X_217,X_136)),
inference(subst,[],[refute_0_1934:[bind(X_188,$fot(X_218)),bind(X_190,$fot(X_217))]]) ).
cnf(refute_0_1936,plain,
multiply(identity,multiply(X_136,inverse(multiply(X_136,commutator(X_217,commutator(X_218,X_136)))))) = multiply(X_136,inverse(multiply(X_136,commutator(X_217,commutator(X_218,X_136))))),
inference(subst,[],[left_identity:[bind(X,$fot(multiply(X_136,inverse(multiply(X_136,commutator(X_217,commutator(X_218,X_136)))))))]]) ).
cnf(refute_0_1937,plain,
( multiply(X_136,inverse(multiply(X_136,commutator(X_217,commutator(X_218,X_136))))) != commutator(X_218,commutator(X_217,X_136))
| multiply(identity,multiply(X_136,inverse(multiply(X_136,commutator(X_217,commutator(X_218,X_136)))))) != multiply(X_136,inverse(multiply(X_136,commutator(X_217,commutator(X_218,X_136)))))
| multiply(identity,multiply(X_136,inverse(multiply(X_136,commutator(X_217,commutator(X_218,X_136)))))) = commutator(X_218,commutator(X_217,X_136)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(identity,multiply(X_136,inverse(multiply(X_136,commutator(X_217,commutator(X_218,X_136)))))))),bind(Y0,$fot(multiply(X_136,inverse(multiply(X_136,commutator(X_217,commutator(X_218,X_136))))))),bind(Z0,$fot(commutator(X_218,commutator(X_217,X_136))))]]) ).
cnf(refute_0_1938,plain,
( multiply(X_136,inverse(multiply(X_136,commutator(X_217,commutator(X_218,X_136))))) != commutator(X_218,commutator(X_217,X_136))
| multiply(identity,multiply(X_136,inverse(multiply(X_136,commutator(X_217,commutator(X_218,X_136)))))) = commutator(X_218,commutator(X_217,X_136)) ),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(X_136,inverse(multiply(X_136,commutator(X_217,commutator(X_218,X_136)))))),multiply(X_136,inverse(multiply(X_136,commutator(X_217,commutator(X_218,X_136)))))) )],[refute_0_1936,refute_0_1937]) ).
cnf(refute_0_1939,plain,
multiply(identity,multiply(X_136,inverse(multiply(X_136,commutator(X_217,commutator(X_218,X_136)))))) = commutator(X_218,commutator(X_217,X_136)),
inference(resolve,[$cnf( $equal(multiply(X_136,inverse(multiply(X_136,commutator(X_217,commutator(X_218,X_136))))),commutator(X_218,commutator(X_217,X_136))) )],[refute_0_1935,refute_0_1938]) ).
cnf(refute_0_1940,plain,
( multiply(identity,multiply(X_136,inverse(multiply(X_136,commutator(X_217,commutator(X_218,X_136)))))) != commutator(X_218,commutator(X_217,X_136))
| multiply(identity,multiply(X_136,inverse(multiply(X_136,commutator(X_217,commutator(X_218,X_136)))))) != inverse(commutator(X_217,commutator(X_218,X_136)))
| commutator(X_218,commutator(X_217,X_136)) = inverse(commutator(X_217,commutator(X_218,X_136))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,multiply(X_136,inverse(multiply(X_136,commutator(X_217,commutator(X_218,X_136)))))),inverse(commutator(X_217,commutator(X_218,X_136)))) ),[0],$fot(commutator(X_218,commutator(X_217,X_136)))]]) ).
cnf(refute_0_1941,plain,
( multiply(identity,multiply(X_136,inverse(multiply(X_136,commutator(X_217,commutator(X_218,X_136)))))) != inverse(commutator(X_217,commutator(X_218,X_136)))
| commutator(X_218,commutator(X_217,X_136)) = inverse(commutator(X_217,commutator(X_218,X_136))) ),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(X_136,inverse(multiply(X_136,commutator(X_217,commutator(X_218,X_136)))))),commutator(X_218,commutator(X_217,X_136))) )],[refute_0_1939,refute_0_1940]) ).
cnf(refute_0_1942,plain,
commutator(commutator(X_218,X_136),X_217) = commutator(X_218,commutator(X_136,X_217)),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(X_218)),bind(Y,$fot(X_136)),bind(Z,$fot(X_217))]]) ).
cnf(refute_0_1943,plain,
inverse(commutator(X_217,commutator(X_218,X_136))) = commutator(commutator(X_218,X_136),X_217),
inference(subst,[],[refute_0_386:[bind(X,$fot(commutator(X_218,X_136))),bind(Y,$fot(X_217))]]) ).
cnf(refute_0_1944,plain,
( commutator(commutator(X_218,X_136),X_217) != commutator(X_218,commutator(X_136,X_217))
| inverse(commutator(X_217,commutator(X_218,X_136))) != commutator(commutator(X_218,X_136),X_217)
| inverse(commutator(X_217,commutator(X_218,X_136))) = commutator(X_218,commutator(X_136,X_217)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(commutator(X_217,commutator(X_218,X_136))))),bind(Y0,$fot(commutator(commutator(X_218,X_136),X_217))),bind(Z0,$fot(commutator(X_218,commutator(X_136,X_217))))]]) ).
cnf(refute_0_1945,plain,
( commutator(commutator(X_218,X_136),X_217) != commutator(X_218,commutator(X_136,X_217))
| inverse(commutator(X_217,commutator(X_218,X_136))) = commutator(X_218,commutator(X_136,X_217)) ),
inference(resolve,[$cnf( $equal(inverse(commutator(X_217,commutator(X_218,X_136))),commutator(commutator(X_218,X_136),X_217)) )],[refute_0_1943,refute_0_1944]) ).
cnf(refute_0_1946,plain,
inverse(commutator(X_217,commutator(X_218,X_136))) = commutator(X_218,commutator(X_136,X_217)),
inference(resolve,[$cnf( $equal(commutator(commutator(X_218,X_136),X_217),commutator(X_218,commutator(X_136,X_217))) )],[refute_0_1942,refute_0_1945]) ).
cnf(refute_0_1947,plain,
( commutator(X_218,commutator(X_217,X_136)) != inverse(commutator(X_217,commutator(X_218,X_136)))
| inverse(commutator(X_217,commutator(X_218,X_136))) != commutator(X_218,commutator(X_136,X_217))
| commutator(X_218,commutator(X_217,X_136)) = commutator(X_218,commutator(X_136,X_217)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(X_218,commutator(X_217,X_136)),commutator(X_218,commutator(X_136,X_217))) ),[0],$fot(inverse(commutator(X_217,commutator(X_218,X_136))))]]) ).
cnf(refute_0_1948,plain,
( commutator(X_218,commutator(X_217,X_136)) != inverse(commutator(X_217,commutator(X_218,X_136)))
| commutator(X_218,commutator(X_217,X_136)) = commutator(X_218,commutator(X_136,X_217)) ),
inference(resolve,[$cnf( $equal(inverse(commutator(X_217,commutator(X_218,X_136))),commutator(X_218,commutator(X_136,X_217))) )],[refute_0_1946,refute_0_1947]) ).
cnf(refute_0_1949,plain,
( multiply(identity,multiply(X_136,inverse(multiply(X_136,commutator(X_217,commutator(X_218,X_136)))))) != inverse(commutator(X_217,commutator(X_218,X_136)))
| commutator(X_218,commutator(X_217,X_136)) = commutator(X_218,commutator(X_136,X_217)) ),
inference(resolve,[$cnf( $equal(commutator(X_218,commutator(X_217,X_136)),inverse(commutator(X_217,commutator(X_218,X_136)))) )],[refute_0_1941,refute_0_1948]) ).
cnf(refute_0_1950,plain,
commutator(X_218,commutator(X_217,X_136)) = commutator(X_218,commutator(X_136,X_217)),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(X_136,inverse(multiply(X_136,commutator(X_217,commutator(X_218,X_136)))))),inverse(commutator(X_217,commutator(X_218,X_136)))) )],[refute_0_1894,refute_0_1949]) ).
cnf(refute_0_1951,plain,
( commutator(X_218,commutator(X_217,X_136)) != commutator(X_218,commutator(X_136,X_217))
| commutator(X_218,commutator(X_136,X_217)) = commutator(X_218,commutator(X_217,X_136)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_218,commutator(X_217,X_136)))),bind(Y0,$fot(commutator(X_218,commutator(X_136,X_217))))]]) ).
cnf(refute_0_1952,plain,
commutator(X_218,commutator(X_136,X_217)) = commutator(X_218,commutator(X_217,X_136)),
inference(resolve,[$cnf( $equal(commutator(X_218,commutator(X_217,X_136)),commutator(X_218,commutator(X_136,X_217))) )],[refute_0_1950,refute_0_1951]) ).
cnf(refute_0_1953,plain,
commutator(X_282,commutator(commutator(X_283,X_27),X_27)) = commutator(X_282,commutator(X_27,commutator(X_283,X_27))),
inference(subst,[],[refute_0_1952:[bind(X_136,$fot(commutator(X_283,X_27))),bind(X_217,$fot(X_27)),bind(X_218,$fot(X_282))]]) ).
cnf(refute_0_1954,plain,
commutator(commutator(X_282,commutator(X_283,X_27)),X_27) = commutator(X_282,commutator(commutator(X_283,X_27),X_27)),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(X_282)),bind(Y,$fot(commutator(X_283,X_27))),bind(Z,$fot(X_27))]]) ).
cnf(refute_0_1955,plain,
( commutator(X_282,commutator(commutator(X_283,X_27),X_27)) != commutator(X_282,commutator(X_27,commutator(X_283,X_27)))
| commutator(commutator(X_282,commutator(X_283,X_27)),X_27) != commutator(X_282,commutator(commutator(X_283,X_27),X_27))
| commutator(commutator(X_282,commutator(X_283,X_27)),X_27) = commutator(X_282,commutator(X_27,commutator(X_283,X_27))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(commutator(X_282,commutator(X_283,X_27)),X_27))),bind(Y0,$fot(commutator(X_282,commutator(commutator(X_283,X_27),X_27)))),bind(Z0,$fot(commutator(X_282,commutator(X_27,commutator(X_283,X_27)))))]]) ).
cnf(refute_0_1956,plain,
( commutator(X_282,commutator(commutator(X_283,X_27),X_27)) != commutator(X_282,commutator(X_27,commutator(X_283,X_27)))
| commutator(commutator(X_282,commutator(X_283,X_27)),X_27) = commutator(X_282,commutator(X_27,commutator(X_283,X_27))) ),
inference(resolve,[$cnf( $equal(commutator(commutator(X_282,commutator(X_283,X_27)),X_27),commutator(X_282,commutator(commutator(X_283,X_27),X_27))) )],[refute_0_1954,refute_0_1955]) ).
cnf(refute_0_1957,plain,
commutator(commutator(X_282,commutator(X_283,X_27)),X_27) = commutator(X_282,commutator(X_27,commutator(X_283,X_27))),
inference(resolve,[$cnf( $equal(commutator(X_282,commutator(commutator(X_283,X_27),X_27)),commutator(X_282,commutator(X_27,commutator(X_283,X_27)))) )],[refute_0_1953,refute_0_1956]) ).
cnf(refute_0_1958,plain,
( commutator(X_282,commutator(X_27,commutator(X_283,X_27))) != identity
| commutator(commutator(X_282,commutator(X_283,X_27)),X_27) != commutator(X_282,commutator(X_27,commutator(X_283,X_27)))
| commutator(commutator(X_282,commutator(X_283,X_27)),X_27) = identity ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(commutator(X_282,commutator(X_283,X_27)),X_27))),bind(Y0,$fot(commutator(X_282,commutator(X_27,commutator(X_283,X_27))))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_1959,plain,
( commutator(X_282,commutator(X_27,commutator(X_283,X_27))) != identity
| commutator(commutator(X_282,commutator(X_283,X_27)),X_27) = identity ),
inference(resolve,[$cnf( $equal(commutator(commutator(X_282,commutator(X_283,X_27)),X_27),commutator(X_282,commutator(X_27,commutator(X_283,X_27)))) )],[refute_0_1957,refute_0_1958]) ).
cnf(refute_0_1960,plain,
commutator(commutator(X_282,commutator(X_283,X_27)),X_27) = identity,
inference(resolve,[$cnf( $equal(commutator(X_282,commutator(X_27,commutator(X_283,X_27))),identity) )],[refute_0_1877,refute_0_1959]) ).
cnf(refute_0_1961,plain,
( commutator(commutator(X_282,commutator(X_283,X_27)),X_27) != multiply(commutator(X_282,commutator(X_283,X_27)),multiply(X_27,inverse(multiply(commutator(X_282,X_283),multiply(X_27,commutator(X_283,X_282))))))
| commutator(commutator(X_282,commutator(X_283,X_27)),X_27) != identity
| identity = multiply(commutator(X_282,commutator(X_283,X_27)),multiply(X_27,inverse(multiply(commutator(X_282,X_283),multiply(X_27,commutator(X_283,X_282)))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(X_282,commutator(X_283,X_27)),X_27),multiply(commutator(X_282,commutator(X_283,X_27)),multiply(X_27,inverse(multiply(commutator(X_282,X_283),multiply(X_27,commutator(X_283,X_282))))))) ),[0],$fot(identity)]]) ).
cnf(refute_0_1962,plain,
( commutator(commutator(X_282,commutator(X_283,X_27)),X_27) != multiply(commutator(X_282,commutator(X_283,X_27)),multiply(X_27,inverse(multiply(commutator(X_282,X_283),multiply(X_27,commutator(X_283,X_282))))))
| identity = multiply(commutator(X_282,commutator(X_283,X_27)),multiply(X_27,inverse(multiply(commutator(X_282,X_283),multiply(X_27,commutator(X_283,X_282)))))) ),
inference(resolve,[$cnf( $equal(commutator(commutator(X_282,commutator(X_283,X_27)),X_27),identity) )],[refute_0_1960,refute_0_1961]) ).
cnf(refute_0_1963,plain,
commutator(X_282,commutator(X_283,inverse(X))) = multiply(X,multiply(inverse(X),commutator(X_282,commutator(X_283,inverse(X))))),
inference(subst,[],[refute_0_141:[bind(Z,$fot(commutator(X_282,commutator(X_283,inverse(X)))))]]) ).
cnf(refute_0_1964,plain,
multiply(inverse(X),commutator(X_282,commutator(X_283,inverse(X)))) = multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282))),
inference(subst,[],[refute_0_1843:[bind(X_10,$fot(inverse(X))),bind(X_255,$fot(X_282)),bind(X_256,$fot(X_283))]]) ).
cnf(refute_0_1965,plain,
( multiply(inverse(X),commutator(X_282,commutator(X_283,inverse(X)))) != multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282)))
| commutator(X_282,commutator(X_283,inverse(X))) != multiply(X,multiply(inverse(X),commutator(X_282,commutator(X_283,inverse(X)))))
| commutator(X_282,commutator(X_283,inverse(X))) = multiply(X,multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_282,commutator(X_283,inverse(X))),multiply(X,multiply(inverse(X),commutator(X_282,commutator(X_283,inverse(X)))))) ),[1,1],$fot(multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282))))]]) ).
cnf(refute_0_1966,plain,
( commutator(X_282,commutator(X_283,inverse(X))) != multiply(X,multiply(inverse(X),commutator(X_282,commutator(X_283,inverse(X)))))
| commutator(X_282,commutator(X_283,inverse(X))) = multiply(X,multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X),commutator(X_282,commutator(X_283,inverse(X)))),multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282)))) )],[refute_0_1964,refute_0_1965]) ).
cnf(refute_0_1967,plain,
commutator(X_282,commutator(X_283,inverse(X))) = multiply(X,multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282)))),
inference(resolve,[$cnf( $equal(commutator(X_282,commutator(X_283,inverse(X))),multiply(X,multiply(inverse(X),commutator(X_282,commutator(X_283,inverse(X)))))) )],[refute_0_1963,refute_0_1966]) ).
cnf(refute_0_1968,plain,
commutator(X_283,inverse(X)) = commutator(X,X_283),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(X)),bind(X_110,$fot(X_283))]]) ).
cnf(refute_0_1969,plain,
commutator(X_282,commutator(X_283,inverse(X))) = commutator(X_282,commutator(X_283,inverse(X))),
introduced(tautology,[refl,[$fot(commutator(X_282,commutator(X_283,inverse(X))))]]) ).
cnf(refute_0_1970,plain,
( commutator(X_282,commutator(X_283,inverse(X))) != commutator(X_282,commutator(X_283,inverse(X)))
| commutator(X_283,inverse(X)) != commutator(X,X_283)
| commutator(X_282,commutator(X_283,inverse(X))) = commutator(X_282,commutator(X,X_283)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_282,commutator(X_283,inverse(X))),commutator(X_282,commutator(X_283,inverse(X)))) ),[1,1],$fot(commutator(X,X_283))]]) ).
cnf(refute_0_1971,plain,
( commutator(X_283,inverse(X)) != commutator(X,X_283)
| commutator(X_282,commutator(X_283,inverse(X))) = commutator(X_282,commutator(X,X_283)) ),
inference(resolve,[$cnf( $equal(commutator(X_282,commutator(X_283,inverse(X))),commutator(X_282,commutator(X_283,inverse(X)))) )],[refute_0_1969,refute_0_1970]) ).
cnf(refute_0_1972,plain,
commutator(X_282,commutator(X_283,inverse(X))) = commutator(X_282,commutator(X,X_283)),
inference(resolve,[$cnf( $equal(commutator(X_283,inverse(X)),commutator(X,X_283)) )],[refute_0_1968,refute_0_1971]) ).
cnf(refute_0_1973,plain,
( commutator(X_282,commutator(X_283,inverse(X))) != multiply(X,multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282))))
| commutator(X_282,commutator(X_283,inverse(X))) != commutator(X_282,commutator(X,X_283))
| commutator(X_282,commutator(X,X_283)) = multiply(X,multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_282,commutator(X_283,inverse(X))),multiply(X,multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282))))) ),[0],$fot(commutator(X_282,commutator(X,X_283)))]]) ).
cnf(refute_0_1974,plain,
( commutator(X_282,commutator(X_283,inverse(X))) != multiply(X,multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282))))
| commutator(X_282,commutator(X,X_283)) = multiply(X,multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282)))) ),
inference(resolve,[$cnf( $equal(commutator(X_282,commutator(X_283,inverse(X))),commutator(X_282,commutator(X,X_283))) )],[refute_0_1972,refute_0_1973]) ).
cnf(refute_0_1975,plain,
multiply(multiply(commutator(X_282,X_283),X),commutator(X_283,X_282)) = multiply(commutator(X_282,X_283),multiply(X,commutator(X_283,X_282))),
inference(subst,[],[associativity:[bind(X,$fot(commutator(X_282,X_283))),bind(Y,$fot(X)),bind(Z,$fot(commutator(X_283,X_282)))]]) ).
cnf(refute_0_1976,plain,
inverse(multiply(multiply(commutator(X_282,X_283),X),commutator(X_283,X_282))) = inverse(multiply(multiply(commutator(X_282,X_283),X),commutator(X_283,X_282))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(commutator(X_282,X_283),X),commutator(X_283,X_282))))]]) ).
cnf(refute_0_1977,plain,
( multiply(multiply(commutator(X_282,X_283),X),commutator(X_283,X_282)) != multiply(commutator(X_282,X_283),multiply(X,commutator(X_283,X_282)))
| inverse(multiply(multiply(commutator(X_282,X_283),X),commutator(X_283,X_282))) != inverse(multiply(multiply(commutator(X_282,X_283),X),commutator(X_283,X_282)))
| inverse(multiply(multiply(commutator(X_282,X_283),X),commutator(X_283,X_282))) = inverse(multiply(commutator(X_282,X_283),multiply(X,commutator(X_283,X_282)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(commutator(X_282,X_283),X),commutator(X_283,X_282))),inverse(multiply(multiply(commutator(X_282,X_283),X),commutator(X_283,X_282)))) ),[1,0],$fot(multiply(commutator(X_282,X_283),multiply(X,commutator(X_283,X_282))))]]) ).
cnf(refute_0_1978,plain,
( multiply(multiply(commutator(X_282,X_283),X),commutator(X_283,X_282)) != multiply(commutator(X_282,X_283),multiply(X,commutator(X_283,X_282)))
| inverse(multiply(multiply(commutator(X_282,X_283),X),commutator(X_283,X_282))) = inverse(multiply(commutator(X_282,X_283),multiply(X,commutator(X_283,X_282)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(commutator(X_282,X_283),X),commutator(X_283,X_282))),inverse(multiply(multiply(commutator(X_282,X_283),X),commutator(X_283,X_282)))) )],[refute_0_1976,refute_0_1977]) ).
cnf(refute_0_1979,plain,
inverse(multiply(multiply(commutator(X_282,X_283),X),commutator(X_283,X_282))) = inverse(multiply(commutator(X_282,X_283),multiply(X,commutator(X_283,X_282)))),
inference(resolve,[$cnf( $equal(multiply(multiply(commutator(X_282,X_283),X),commutator(X_283,X_282)),multiply(commutator(X_282,X_283),multiply(X,commutator(X_283,X_282)))) )],[refute_0_1975,refute_0_1978]) ).
cnf(refute_0_1980,plain,
multiply(commutator(X_282,X_283),inverse(multiply(commutator(X_282,X_283),X))) = inverse(multiply(multiply(commutator(X_282,X_283),X),commutator(X_283,X_282))),
inference(subst,[],[refute_0_378:[bind(X_58,$fot(multiply(commutator(X_282,X_283),X))),bind(X_65,$fot(X_282)),bind(X_66,$fot(X_283))]]) ).
cnf(refute_0_1981,plain,
( multiply(commutator(X_282,X_283),inverse(multiply(commutator(X_282,X_283),X))) != inverse(multiply(multiply(commutator(X_282,X_283),X),commutator(X_283,X_282)))
| inverse(multiply(multiply(commutator(X_282,X_283),X),commutator(X_283,X_282))) != inverse(multiply(commutator(X_282,X_283),multiply(X,commutator(X_283,X_282))))
| multiply(commutator(X_282,X_283),inverse(multiply(commutator(X_282,X_283),X))) = inverse(multiply(commutator(X_282,X_283),multiply(X,commutator(X_283,X_282)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_282,X_283),inverse(multiply(commutator(X_282,X_283),X))))),bind(Y0,$fot(inverse(multiply(multiply(commutator(X_282,X_283),X),commutator(X_283,X_282))))),bind(Z0,$fot(inverse(multiply(commutator(X_282,X_283),multiply(X,commutator(X_283,X_282))))))]]) ).
cnf(refute_0_1982,plain,
( inverse(multiply(multiply(commutator(X_282,X_283),X),commutator(X_283,X_282))) != inverse(multiply(commutator(X_282,X_283),multiply(X,commutator(X_283,X_282))))
| multiply(commutator(X_282,X_283),inverse(multiply(commutator(X_282,X_283),X))) = inverse(multiply(commutator(X_282,X_283),multiply(X,commutator(X_283,X_282)))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_282,X_283),inverse(multiply(commutator(X_282,X_283),X))),inverse(multiply(multiply(commutator(X_282,X_283),X),commutator(X_283,X_282)))) )],[refute_0_1980,refute_0_1981]) ).
cnf(refute_0_1983,plain,
multiply(commutator(X_282,X_283),inverse(multiply(commutator(X_282,X_283),X))) = inverse(multiply(commutator(X_282,X_283),multiply(X,commutator(X_283,X_282)))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(commutator(X_282,X_283),X),commutator(X_283,X_282))),inverse(multiply(commutator(X_282,X_283),multiply(X,commutator(X_283,X_282))))) )],[refute_0_1979,refute_0_1982]) ).
cnf(refute_0_1984,plain,
multiply(inverse(X),commutator(X_283,X_282)) = inverse(multiply(commutator(X_282,X_283),X)),
inference(subst,[],[refute_0_331:[bind(X_10,$fot(X)),bind(X_65,$fot(X_283)),bind(X_66,$fot(X_282))]]) ).
cnf(refute_0_1985,plain,
multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282))) = multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282))),
introduced(tautology,[refl,[$fot(multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282))))]]) ).
cnf(refute_0_1986,plain,
( multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282))) != multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282)))
| multiply(inverse(X),commutator(X_283,X_282)) != inverse(multiply(commutator(X_282,X_283),X))
| multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282))) = multiply(commutator(X_282,X_283),inverse(multiply(commutator(X_282,X_283),X))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282))),multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282)))) ),[1,1],$fot(inverse(multiply(commutator(X_282,X_283),X)))]]) ).
cnf(refute_0_1987,plain,
( multiply(inverse(X),commutator(X_283,X_282)) != inverse(multiply(commutator(X_282,X_283),X))
| multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282))) = multiply(commutator(X_282,X_283),inverse(multiply(commutator(X_282,X_283),X))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282))),multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282)))) )],[refute_0_1985,refute_0_1986]) ).
cnf(refute_0_1988,plain,
multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282))) = multiply(commutator(X_282,X_283),inverse(multiply(commutator(X_282,X_283),X))),
inference(resolve,[$cnf( $equal(multiply(inverse(X),commutator(X_283,X_282)),inverse(multiply(commutator(X_282,X_283),X))) )],[refute_0_1984,refute_0_1987]) ).
cnf(refute_0_1989,plain,
( multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282))) != multiply(commutator(X_282,X_283),inverse(multiply(commutator(X_282,X_283),X)))
| multiply(commutator(X_282,X_283),inverse(multiply(commutator(X_282,X_283),X))) != inverse(multiply(commutator(X_282,X_283),multiply(X,commutator(X_283,X_282))))
| multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282))) = inverse(multiply(commutator(X_282,X_283),multiply(X,commutator(X_283,X_282)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282))))),bind(Y0,$fot(multiply(commutator(X_282,X_283),inverse(multiply(commutator(X_282,X_283),X))))),bind(Z0,$fot(inverse(multiply(commutator(X_282,X_283),multiply(X,commutator(X_283,X_282))))))]]) ).
cnf(refute_0_1990,plain,
( multiply(commutator(X_282,X_283),inverse(multiply(commutator(X_282,X_283),X))) != inverse(multiply(commutator(X_282,X_283),multiply(X,commutator(X_283,X_282))))
| multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282))) = inverse(multiply(commutator(X_282,X_283),multiply(X,commutator(X_283,X_282)))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282))),multiply(commutator(X_282,X_283),inverse(multiply(commutator(X_282,X_283),X)))) )],[refute_0_1988,refute_0_1989]) ).
cnf(refute_0_1991,plain,
multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282))) = inverse(multiply(commutator(X_282,X_283),multiply(X,commutator(X_283,X_282)))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_282,X_283),inverse(multiply(commutator(X_282,X_283),X))),inverse(multiply(commutator(X_282,X_283),multiply(X,commutator(X_283,X_282))))) )],[refute_0_1983,refute_0_1990]) ).
cnf(refute_0_1992,plain,
multiply(X,multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282)))) = multiply(X,multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282)))),
introduced(tautology,[refl,[$fot(multiply(X,multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282)))))]]) ).
cnf(refute_0_1993,plain,
( multiply(X,multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282)))) != multiply(X,multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282))))
| multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282))) != inverse(multiply(commutator(X_282,X_283),multiply(X,commutator(X_283,X_282))))
| multiply(X,multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282)))) = multiply(X,inverse(multiply(commutator(X_282,X_283),multiply(X,commutator(X_283,X_282))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282)))),multiply(X,multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282))))) ),[1,1],$fot(inverse(multiply(commutator(X_282,X_283),multiply(X,commutator(X_283,X_282)))))]]) ).
cnf(refute_0_1994,plain,
( multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282))) != inverse(multiply(commutator(X_282,X_283),multiply(X,commutator(X_283,X_282))))
| multiply(X,multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282)))) = multiply(X,inverse(multiply(commutator(X_282,X_283),multiply(X,commutator(X_283,X_282))))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282)))),multiply(X,multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282))))) )],[refute_0_1992,refute_0_1993]) ).
cnf(refute_0_1995,plain,
multiply(X,multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282)))) = multiply(X,inverse(multiply(commutator(X_282,X_283),multiply(X,commutator(X_283,X_282))))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282))),inverse(multiply(commutator(X_282,X_283),multiply(X,commutator(X_283,X_282))))) )],[refute_0_1991,refute_0_1994]) ).
cnf(refute_0_1996,plain,
( multiply(X,multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282)))) != multiply(X,inverse(multiply(commutator(X_282,X_283),multiply(X,commutator(X_283,X_282)))))
| commutator(X_282,commutator(X,X_283)) != multiply(X,multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282))))
| commutator(X_282,commutator(X,X_283)) = multiply(X,inverse(multiply(commutator(X_282,X_283),multiply(X,commutator(X_283,X_282))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_282,commutator(X,X_283)),multiply(X,multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282))))) ),[1],$fot(multiply(X,inverse(multiply(commutator(X_282,X_283),multiply(X,commutator(X_283,X_282))))))]]) ).
cnf(refute_0_1997,plain,
( commutator(X_282,commutator(X,X_283)) != multiply(X,multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282))))
| commutator(X_282,commutator(X,X_283)) = multiply(X,inverse(multiply(commutator(X_282,X_283),multiply(X,commutator(X_283,X_282))))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282)))),multiply(X,inverse(multiply(commutator(X_282,X_283),multiply(X,commutator(X_283,X_282)))))) )],[refute_0_1995,refute_0_1996]) ).
cnf(refute_0_1998,plain,
( commutator(X_282,commutator(X_283,inverse(X))) != multiply(X,multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282))))
| commutator(X_282,commutator(X,X_283)) = multiply(X,inverse(multiply(commutator(X_282,X_283),multiply(X,commutator(X_283,X_282))))) ),
inference(resolve,[$cnf( $equal(commutator(X_282,commutator(X,X_283)),multiply(X,multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282))))) )],[refute_0_1974,refute_0_1997]) ).
cnf(refute_0_1999,plain,
commutator(X_282,commutator(X,X_283)) = multiply(X,inverse(multiply(commutator(X_282,X_283),multiply(X,commutator(X_283,X_282))))),
inference(resolve,[$cnf( $equal(commutator(X_282,commutator(X_283,inverse(X))),multiply(X,multiply(commutator(X_282,X_283),multiply(inverse(X),commutator(X_283,X_282))))) )],[refute_0_1967,refute_0_1998]) ).
cnf(refute_0_2000,plain,
( commutator(X_282,commutator(X,X_283)) != multiply(X,inverse(multiply(commutator(X_282,X_283),multiply(X,commutator(X_283,X_282)))))
| multiply(X,inverse(multiply(commutator(X_282,X_283),multiply(X,commutator(X_283,X_282))))) = commutator(X_282,commutator(X,X_283)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_282,commutator(X,X_283)))),bind(Y0,$fot(multiply(X,inverse(multiply(commutator(X_282,X_283),multiply(X,commutator(X_283,X_282)))))))]]) ).
cnf(refute_0_2001,plain,
multiply(X,inverse(multiply(commutator(X_282,X_283),multiply(X,commutator(X_283,X_282))))) = commutator(X_282,commutator(X,X_283)),
inference(resolve,[$cnf( $equal(commutator(X_282,commutator(X,X_283)),multiply(X,inverse(multiply(commutator(X_282,X_283),multiply(X,commutator(X_283,X_282)))))) )],[refute_0_1999,refute_0_2000]) ).
cnf(refute_0_2002,plain,
multiply(X_27,inverse(multiply(commutator(X_282,X_283),multiply(X_27,commutator(X_283,X_282))))) = commutator(X_282,commutator(X_27,X_283)),
inference(subst,[],[refute_0_2001:[bind(X,$fot(X_27))]]) ).
cnf(refute_0_2003,plain,
multiply(commutator(X_282,commutator(X_283,X_27)),multiply(X_27,inverse(multiply(commutator(X_282,X_283),multiply(X_27,commutator(X_283,X_282)))))) = multiply(commutator(X_282,commutator(X_283,X_27)),multiply(X_27,inverse(multiply(commutator(X_282,X_283),multiply(X_27,commutator(X_283,X_282)))))),
introduced(tautology,[refl,[$fot(multiply(commutator(X_282,commutator(X_283,X_27)),multiply(X_27,inverse(multiply(commutator(X_282,X_283),multiply(X_27,commutator(X_283,X_282)))))))]]) ).
cnf(refute_0_2004,plain,
( multiply(X_27,inverse(multiply(commutator(X_282,X_283),multiply(X_27,commutator(X_283,X_282))))) != commutator(X_282,commutator(X_27,X_283))
| multiply(commutator(X_282,commutator(X_283,X_27)),multiply(X_27,inverse(multiply(commutator(X_282,X_283),multiply(X_27,commutator(X_283,X_282)))))) != multiply(commutator(X_282,commutator(X_283,X_27)),multiply(X_27,inverse(multiply(commutator(X_282,X_283),multiply(X_27,commutator(X_283,X_282))))))
| multiply(commutator(X_282,commutator(X_283,X_27)),multiply(X_27,inverse(multiply(commutator(X_282,X_283),multiply(X_27,commutator(X_283,X_282)))))) = multiply(commutator(X_282,commutator(X_283,X_27)),commutator(X_282,commutator(X_27,X_283))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_282,commutator(X_283,X_27)),multiply(X_27,inverse(multiply(commutator(X_282,X_283),multiply(X_27,commutator(X_283,X_282)))))),multiply(commutator(X_282,commutator(X_283,X_27)),multiply(X_27,inverse(multiply(commutator(X_282,X_283),multiply(X_27,commutator(X_283,X_282))))))) ),[1,1],$fot(commutator(X_282,commutator(X_27,X_283)))]]) ).
cnf(refute_0_2005,plain,
( multiply(X_27,inverse(multiply(commutator(X_282,X_283),multiply(X_27,commutator(X_283,X_282))))) != commutator(X_282,commutator(X_27,X_283))
| multiply(commutator(X_282,commutator(X_283,X_27)),multiply(X_27,inverse(multiply(commutator(X_282,X_283),multiply(X_27,commutator(X_283,X_282)))))) = multiply(commutator(X_282,commutator(X_283,X_27)),commutator(X_282,commutator(X_27,X_283))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_282,commutator(X_283,X_27)),multiply(X_27,inverse(multiply(commutator(X_282,X_283),multiply(X_27,commutator(X_283,X_282)))))),multiply(commutator(X_282,commutator(X_283,X_27)),multiply(X_27,inverse(multiply(commutator(X_282,X_283),multiply(X_27,commutator(X_283,X_282))))))) )],[refute_0_2003,refute_0_2004]) ).
cnf(refute_0_2006,plain,
multiply(commutator(X_282,commutator(X_283,X_27)),multiply(X_27,inverse(multiply(commutator(X_282,X_283),multiply(X_27,commutator(X_283,X_282)))))) = multiply(commutator(X_282,commutator(X_283,X_27)),commutator(X_282,commutator(X_27,X_283))),
inference(resolve,[$cnf( $equal(multiply(X_27,inverse(multiply(commutator(X_282,X_283),multiply(X_27,commutator(X_283,X_282))))),commutator(X_282,commutator(X_27,X_283))) )],[refute_0_2002,refute_0_2005]) ).
cnf(refute_0_2007,plain,
( multiply(commutator(X_282,commutator(X_283,X_27)),multiply(X_27,inverse(multiply(commutator(X_282,X_283),multiply(X_27,commutator(X_283,X_282)))))) != multiply(commutator(X_282,commutator(X_283,X_27)),commutator(X_282,commutator(X_27,X_283)))
| identity != multiply(commutator(X_282,commutator(X_283,X_27)),multiply(X_27,inverse(multiply(commutator(X_282,X_283),multiply(X_27,commutator(X_283,X_282))))))
| identity = multiply(commutator(X_282,commutator(X_283,X_27)),commutator(X_282,commutator(X_27,X_283))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,multiply(commutator(X_282,commutator(X_283,X_27)),multiply(X_27,inverse(multiply(commutator(X_282,X_283),multiply(X_27,commutator(X_283,X_282))))))) ),[1],$fot(multiply(commutator(X_282,commutator(X_283,X_27)),commutator(X_282,commutator(X_27,X_283))))]]) ).
cnf(refute_0_2008,plain,
( identity != multiply(commutator(X_282,commutator(X_283,X_27)),multiply(X_27,inverse(multiply(commutator(X_282,X_283),multiply(X_27,commutator(X_283,X_282))))))
| identity = multiply(commutator(X_282,commutator(X_283,X_27)),commutator(X_282,commutator(X_27,X_283))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_282,commutator(X_283,X_27)),multiply(X_27,inverse(multiply(commutator(X_282,X_283),multiply(X_27,commutator(X_283,X_282)))))),multiply(commutator(X_282,commutator(X_283,X_27)),commutator(X_282,commutator(X_27,X_283)))) )],[refute_0_2006,refute_0_2007]) ).
cnf(refute_0_2009,plain,
( commutator(commutator(X_282,commutator(X_283,X_27)),X_27) != multiply(commutator(X_282,commutator(X_283,X_27)),multiply(X_27,inverse(multiply(commutator(X_282,X_283),multiply(X_27,commutator(X_283,X_282))))))
| identity = multiply(commutator(X_282,commutator(X_283,X_27)),commutator(X_282,commutator(X_27,X_283))) ),
inference(resolve,[$cnf( $equal(identity,multiply(commutator(X_282,commutator(X_283,X_27)),multiply(X_27,inverse(multiply(commutator(X_282,X_283),multiply(X_27,commutator(X_283,X_282))))))) )],[refute_0_1962,refute_0_2008]) ).
cnf(refute_0_2010,plain,
identity = multiply(commutator(X_282,commutator(X_283,X_27)),commutator(X_282,commutator(X_27,X_283))),
inference(resolve,[$cnf( $equal(commutator(commutator(X_282,commutator(X_283,X_27)),X_27),multiply(commutator(X_282,commutator(X_283,X_27)),multiply(X_27,inverse(multiply(commutator(X_282,X_283),multiply(X_27,commutator(X_283,X_282))))))) )],[refute_0_1847,refute_0_2009]) ).
cnf(refute_0_2011,plain,
identity = multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))),
inference(subst,[],[refute_0_2010:[bind(X_27,$fot(X_467)),bind(X_282,$fot(X_468)),bind(X_283,$fot(X_469))]]) ).
cnf(refute_0_2012,plain,
( identity != multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))
| multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))) = identity ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(identity)),bind(Y0,$fot(multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))]]) ).
cnf(refute_0_2013,plain,
multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))) = identity,
inference(resolve,[$cnf( $equal(identity,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))) )],[refute_0_2011,refute_0_2012]) ).
cnf(refute_0_2014,plain,
( multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))) != identity
| multiply(commutator(X_468,commutator(X_469,X_467)),inverse(multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))))) != inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))
| multiply(commutator(X_468,commutator(X_469,X_467)),inverse(identity)) = inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_468,commutator(X_469,X_467)),inverse(multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))))),inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))) ),[0,1,0],$fot(identity)]]) ).
cnf(refute_0_2015,plain,
( multiply(commutator(X_468,commutator(X_469,X_467)),inverse(multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))))) != inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))
| multiply(commutator(X_468,commutator(X_469,X_467)),inverse(identity)) = inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))),identity) )],[refute_0_2013,refute_0_2014]) ).
cnf(refute_0_2016,plain,
multiply(commutator(X_468,commutator(X_469,X_467)),inverse(identity)) = inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_468,commutator(X_469,X_467)),inverse(multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))))),inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))) )],[refute_0_1818,refute_0_2015]) ).
cnf(refute_0_2017,plain,
commutator(commutator(X_467,X_468),X_469) = commutator(X_467,commutator(X_468,X_469)),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(X_467)),bind(Y,$fot(X_468)),bind(Z,$fot(X_469))]]) ).
cnf(refute_0_2018,plain,
inverse(commutator(X_469,commutator(X_467,X_468))) = commutator(commutator(X_467,X_468),X_469),
inference(subst,[],[refute_0_386:[bind(X,$fot(commutator(X_467,X_468))),bind(Y,$fot(X_469))]]) ).
cnf(refute_0_2019,plain,
( commutator(commutator(X_467,X_468),X_469) != commutator(X_467,commutator(X_468,X_469))
| inverse(commutator(X_469,commutator(X_467,X_468))) != commutator(commutator(X_467,X_468),X_469)
| inverse(commutator(X_469,commutator(X_467,X_468))) = commutator(X_467,commutator(X_468,X_469)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(commutator(X_469,commutator(X_467,X_468))))),bind(Y0,$fot(commutator(commutator(X_467,X_468),X_469))),bind(Z0,$fot(commutator(X_467,commutator(X_468,X_469))))]]) ).
cnf(refute_0_2020,plain,
( commutator(commutator(X_467,X_468),X_469) != commutator(X_467,commutator(X_468,X_469))
| inverse(commutator(X_469,commutator(X_467,X_468))) = commutator(X_467,commutator(X_468,X_469)) ),
inference(resolve,[$cnf( $equal(inverse(commutator(X_469,commutator(X_467,X_468))),commutator(commutator(X_467,X_468),X_469)) )],[refute_0_2018,refute_0_2019]) ).
cnf(refute_0_2021,plain,
inverse(commutator(X_469,commutator(X_467,X_468))) = commutator(X_467,commutator(X_468,X_469)),
inference(resolve,[$cnf( $equal(commutator(commutator(X_467,X_468),X_469),commutator(X_467,commutator(X_468,X_469))) )],[refute_0_2017,refute_0_2020]) ).
cnf(refute_0_2022,plain,
commutator(commutator(X_469,X_467),X_468) = commutator(X_469,commutator(X_467,X_468)),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(X_469)),bind(Y,$fot(X_467)),bind(Z,$fot(X_468))]]) ).
cnf(refute_0_2023,plain,
multiply(identity,commutator(commutator(X_469,X_467),X_468)) = commutator(commutator(X_469,X_467),X_468),
inference(subst,[],[left_identity:[bind(X,$fot(commutator(commutator(X_469,X_467),X_468)))]]) ).
cnf(refute_0_2024,plain,
( multiply(identity,commutator(commutator(X_469,X_467),X_468)) != commutator(commutator(X_469,X_467),X_468)
| commutator(commutator(X_469,X_467),X_468) != commutator(X_469,commutator(X_467,X_468))
| multiply(identity,commutator(commutator(X_469,X_467),X_468)) = commutator(X_469,commutator(X_467,X_468)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(identity,commutator(commutator(X_469,X_467),X_468)))),bind(Y0,$fot(commutator(commutator(X_469,X_467),X_468))),bind(Z0,$fot(commutator(X_469,commutator(X_467,X_468))))]]) ).
cnf(refute_0_2025,plain,
( commutator(commutator(X_469,X_467),X_468) != commutator(X_469,commutator(X_467,X_468))
| multiply(identity,commutator(commutator(X_469,X_467),X_468)) = commutator(X_469,commutator(X_467,X_468)) ),
inference(resolve,[$cnf( $equal(multiply(identity,commutator(commutator(X_469,X_467),X_468)),commutator(commutator(X_469,X_467),X_468)) )],[refute_0_2023,refute_0_2024]) ).
cnf(refute_0_2026,plain,
multiply(identity,commutator(commutator(X_469,X_467),X_468)) = commutator(X_469,commutator(X_467,X_468)),
inference(resolve,[$cnf( $equal(commutator(commutator(X_469,X_467),X_468),commutator(X_469,commutator(X_467,X_468))) )],[refute_0_2022,refute_0_2025]) ).
cnf(refute_0_2027,plain,
inverse(multiply(identity,commutator(commutator(X_469,X_467),X_468))) = inverse(multiply(identity,commutator(commutator(X_469,X_467),X_468))),
introduced(tautology,[refl,[$fot(inverse(multiply(identity,commutator(commutator(X_469,X_467),X_468))))]]) ).
cnf(refute_0_2028,plain,
( multiply(identity,commutator(commutator(X_469,X_467),X_468)) != commutator(X_469,commutator(X_467,X_468))
| inverse(multiply(identity,commutator(commutator(X_469,X_467),X_468))) != inverse(multiply(identity,commutator(commutator(X_469,X_467),X_468)))
| inverse(multiply(identity,commutator(commutator(X_469,X_467),X_468))) = inverse(commutator(X_469,commutator(X_467,X_468))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(identity,commutator(commutator(X_469,X_467),X_468))),inverse(multiply(identity,commutator(commutator(X_469,X_467),X_468)))) ),[1,0],$fot(commutator(X_469,commutator(X_467,X_468)))]]) ).
cnf(refute_0_2029,plain,
( multiply(identity,commutator(commutator(X_469,X_467),X_468)) != commutator(X_469,commutator(X_467,X_468))
| inverse(multiply(identity,commutator(commutator(X_469,X_467),X_468))) = inverse(commutator(X_469,commutator(X_467,X_468))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(identity,commutator(commutator(X_469,X_467),X_468))),inverse(multiply(identity,commutator(commutator(X_469,X_467),X_468)))) )],[refute_0_2027,refute_0_2028]) ).
cnf(refute_0_2030,plain,
inverse(multiply(identity,commutator(commutator(X_469,X_467),X_468))) = inverse(commutator(X_469,commutator(X_467,X_468))),
inference(resolve,[$cnf( $equal(multiply(identity,commutator(commutator(X_469,X_467),X_468)),commutator(X_469,commutator(X_467,X_468))) )],[refute_0_2026,refute_0_2029]) ).
cnf(refute_0_2031,plain,
( inverse(multiply(identity,commutator(commutator(X_469,X_467),X_468))) != inverse(commutator(X_469,commutator(X_467,X_468)))
| inverse(commutator(X_469,commutator(X_467,X_468))) != commutator(X_467,commutator(X_468,X_469))
| inverse(multiply(identity,commutator(commutator(X_469,X_467),X_468))) = commutator(X_467,commutator(X_468,X_469)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(identity,commutator(commutator(X_469,X_467),X_468))))),bind(Y0,$fot(inverse(commutator(X_469,commutator(X_467,X_468))))),bind(Z0,$fot(commutator(X_467,commutator(X_468,X_469))))]]) ).
cnf(refute_0_2032,plain,
( inverse(commutator(X_469,commutator(X_467,X_468))) != commutator(X_467,commutator(X_468,X_469))
| inverse(multiply(identity,commutator(commutator(X_469,X_467),X_468))) = commutator(X_467,commutator(X_468,X_469)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(identity,commutator(commutator(X_469,X_467),X_468))),inverse(commutator(X_469,commutator(X_467,X_468)))) )],[refute_0_2030,refute_0_2031]) ).
cnf(refute_0_2033,plain,
inverse(multiply(identity,commutator(commutator(X_469,X_467),X_468))) = commutator(X_467,commutator(X_468,X_469)),
inference(resolve,[$cnf( $equal(inverse(commutator(X_469,commutator(X_467,X_468))),commutator(X_467,commutator(X_468,X_469))) )],[refute_0_2021,refute_0_2032]) ).
cnf(refute_0_2034,plain,
multiply(commutator(X_468,commutator(X_469,X_467)),inverse(identity)) = inverse(multiply(identity,commutator(commutator(X_469,X_467),X_468))),
inference(subst,[],[refute_0_378:[bind(X_58,$fot(identity)),bind(X_65,$fot(X_468)),bind(X_66,$fot(commutator(X_469,X_467)))]]) ).
cnf(refute_0_2035,plain,
( multiply(commutator(X_468,commutator(X_469,X_467)),inverse(identity)) != inverse(multiply(identity,commutator(commutator(X_469,X_467),X_468)))
| inverse(multiply(identity,commutator(commutator(X_469,X_467),X_468))) != commutator(X_467,commutator(X_468,X_469))
| multiply(commutator(X_468,commutator(X_469,X_467)),inverse(identity)) = commutator(X_467,commutator(X_468,X_469)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_468,commutator(X_469,X_467)),inverse(identity)))),bind(Y0,$fot(inverse(multiply(identity,commutator(commutator(X_469,X_467),X_468))))),bind(Z0,$fot(commutator(X_467,commutator(X_468,X_469))))]]) ).
cnf(refute_0_2036,plain,
( inverse(multiply(identity,commutator(commutator(X_469,X_467),X_468))) != commutator(X_467,commutator(X_468,X_469))
| multiply(commutator(X_468,commutator(X_469,X_467)),inverse(identity)) = commutator(X_467,commutator(X_468,X_469)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_468,commutator(X_469,X_467)),inverse(identity)),inverse(multiply(identity,commutator(commutator(X_469,X_467),X_468)))) )],[refute_0_2034,refute_0_2035]) ).
cnf(refute_0_2037,plain,
multiply(commutator(X_468,commutator(X_469,X_467)),inverse(identity)) = commutator(X_467,commutator(X_468,X_469)),
inference(resolve,[$cnf( $equal(inverse(multiply(identity,commutator(commutator(X_469,X_467),X_468))),commutator(X_467,commutator(X_468,X_469))) )],[refute_0_2033,refute_0_2036]) ).
cnf(refute_0_2038,plain,
( multiply(commutator(X_468,commutator(X_469,X_467)),inverse(identity)) != commutator(X_467,commutator(X_468,X_469))
| multiply(commutator(X_468,commutator(X_469,X_467)),inverse(identity)) != inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))
| commutator(X_467,commutator(X_468,X_469)) = inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_468,commutator(X_469,X_467)),inverse(identity)),inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))) ),[0],$fot(commutator(X_467,commutator(X_468,X_469)))]]) ).
cnf(refute_0_2039,plain,
( multiply(commutator(X_468,commutator(X_469,X_467)),inverse(identity)) != inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))
| commutator(X_467,commutator(X_468,X_469)) = inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_468,commutator(X_469,X_467)),inverse(identity)),commutator(X_467,commutator(X_468,X_469))) )],[refute_0_2037,refute_0_2038]) ).
cnf(refute_0_2040,plain,
commutator(commutator(X_467,X_469),X_468) = commutator(X_467,commutator(X_469,X_468)),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(X_467)),bind(Y,$fot(X_469)),bind(Z,$fot(X_468))]]) ).
cnf(refute_0_2041,plain,
inverse(commutator(X_468,commutator(X_467,X_469))) = commutator(commutator(X_467,X_469),X_468),
inference(subst,[],[refute_0_386:[bind(X,$fot(commutator(X_467,X_469))),bind(Y,$fot(X_468))]]) ).
cnf(refute_0_2042,plain,
( commutator(commutator(X_467,X_469),X_468) != commutator(X_467,commutator(X_469,X_468))
| inverse(commutator(X_468,commutator(X_467,X_469))) != commutator(commutator(X_467,X_469),X_468)
| inverse(commutator(X_468,commutator(X_467,X_469))) = commutator(X_467,commutator(X_469,X_468)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(commutator(X_468,commutator(X_467,X_469))))),bind(Y0,$fot(commutator(commutator(X_467,X_469),X_468))),bind(Z0,$fot(commutator(X_467,commutator(X_469,X_468))))]]) ).
cnf(refute_0_2043,plain,
( commutator(commutator(X_467,X_469),X_468) != commutator(X_467,commutator(X_469,X_468))
| inverse(commutator(X_468,commutator(X_467,X_469))) = commutator(X_467,commutator(X_469,X_468)) ),
inference(resolve,[$cnf( $equal(inverse(commutator(X_468,commutator(X_467,X_469))),commutator(commutator(X_467,X_469),X_468)) )],[refute_0_2041,refute_0_2042]) ).
cnf(refute_0_2044,plain,
inverse(commutator(X_468,commutator(X_467,X_469))) = commutator(X_467,commutator(X_469,X_468)),
inference(resolve,[$cnf( $equal(commutator(commutator(X_467,X_469),X_468),commutator(X_467,commutator(X_469,X_468))) )],[refute_0_2040,refute_0_2043]) ).
cnf(refute_0_2045,plain,
multiply(commutator(X_468,commutator(X_467,X_469)),identity) = commutator(X_468,commutator(X_467,X_469)),
inference(subst,[],[refute_0_100:[bind(X_16,$fot(commutator(X_468,commutator(X_467,X_469))))]]) ).
cnf(refute_0_2046,plain,
commutator(X_467,identity) = identity,
inference(subst,[],[refute_0_1868:[bind(X,$fot(X_467))]]) ).
cnf(refute_0_2047,plain,
commutator(commutator(X,Y),commutator(X_69,Y)) = commutator(X,commutator(Y,commutator(X_69,Y))),
inference(subst,[],[associativity_of_commutator:[bind(Z,$fot(commutator(X_69,Y)))]]) ).
cnf(refute_0_2048,plain,
commutator(Y,commutator(X_69,Y)) = identity,
inference(subst,[],[refute_0_1159:[bind(Z,$fot(X_69)),bind(X_66,$fot(Y))]]) ).
cnf(refute_0_2049,plain,
( commutator(Y,commutator(X_69,Y)) != identity
| commutator(commutator(X,Y),commutator(X_69,Y)) != commutator(X,commutator(Y,commutator(X_69,Y)))
| commutator(commutator(X,Y),commutator(X_69,Y)) = commutator(X,identity) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(X,Y),commutator(X_69,Y)),commutator(X,commutator(Y,commutator(X_69,Y)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_2050,plain,
( commutator(commutator(X,Y),commutator(X_69,Y)) != commutator(X,commutator(Y,commutator(X_69,Y)))
| commutator(commutator(X,Y),commutator(X_69,Y)) = commutator(X,identity) ),
inference(resolve,[$cnf( $equal(commutator(Y,commutator(X_69,Y)),identity) )],[refute_0_2048,refute_0_2049]) ).
cnf(refute_0_2051,plain,
commutator(commutator(X,Y),commutator(X_69,Y)) = commutator(X,identity),
inference(resolve,[$cnf( $equal(commutator(commutator(X,Y),commutator(X_69,Y)),commutator(X,commutator(Y,commutator(X_69,Y)))) )],[refute_0_2047,refute_0_2050]) ).
cnf(refute_0_2052,plain,
commutator(commutator(X,Y),X_69) = commutator(X,commutator(Y,X_69)),
inference(subst,[],[associativity_of_commutator:[bind(Z,$fot(X_69))]]) ).
cnf(refute_0_2053,plain,
commutator(Y,commutator(commutator(X,Y),X_69)) = commutator(Y,commutator(commutator(X,Y),X_69)),
introduced(tautology,[refl,[$fot(commutator(Y,commutator(commutator(X,Y),X_69)))]]) ).
cnf(refute_0_2054,plain,
( commutator(Y,commutator(commutator(X,Y),X_69)) != commutator(Y,commutator(commutator(X,Y),X_69))
| commutator(commutator(X,Y),X_69) != commutator(X,commutator(Y,X_69))
| commutator(Y,commutator(commutator(X,Y),X_69)) = commutator(Y,commutator(X,commutator(Y,X_69))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(Y,commutator(commutator(X,Y),X_69)),commutator(Y,commutator(commutator(X,Y),X_69))) ),[1,1],$fot(commutator(X,commutator(Y,X_69)))]]) ).
cnf(refute_0_2055,plain,
( commutator(commutator(X,Y),X_69) != commutator(X,commutator(Y,X_69))
| commutator(Y,commutator(commutator(X,Y),X_69)) = commutator(Y,commutator(X,commutator(Y,X_69))) ),
inference(resolve,[$cnf( $equal(commutator(Y,commutator(commutator(X,Y),X_69)),commutator(Y,commutator(commutator(X,Y),X_69))) )],[refute_0_2053,refute_0_2054]) ).
cnf(refute_0_2056,plain,
commutator(Y,commutator(commutator(X,Y),X_69)) = commutator(Y,commutator(X,commutator(Y,X_69))),
inference(resolve,[$cnf( $equal(commutator(commutator(X,Y),X_69),commutator(X,commutator(Y,X_69))) )],[refute_0_2052,refute_0_2055]) ).
cnf(refute_0_2057,plain,
commutator(X_65,commutator(X,Y)) = inverse(commutator(commutator(X,Y),X_65)),
inference(subst,[],[refute_0_323:[bind(X,$fot(X_65)),bind(Y,$fot(commutator(X,Y)))]]) ).
cnf(refute_0_2058,plain,
commutator(commutator(X,Y),X_65) = commutator(X,commutator(Y,X_65)),
inference(subst,[],[associativity_of_commutator:[bind(Z,$fot(X_65))]]) ).
cnf(refute_0_2059,plain,
( commutator(X_65,commutator(X,Y)) != inverse(commutator(commutator(X,Y),X_65))
| commutator(commutator(X,Y),X_65) != commutator(X,commutator(Y,X_65))
| commutator(X_65,commutator(X,Y)) = inverse(commutator(X,commutator(Y,X_65))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_65,commutator(X,Y)),inverse(commutator(commutator(X,Y),X_65))) ),[1,0],$fot(commutator(X,commutator(Y,X_65)))]]) ).
cnf(refute_0_2060,plain,
( commutator(X_65,commutator(X,Y)) != inverse(commutator(commutator(X,Y),X_65))
| commutator(X_65,commutator(X,Y)) = inverse(commutator(X,commutator(Y,X_65))) ),
inference(resolve,[$cnf( $equal(commutator(commutator(X,Y),X_65),commutator(X,commutator(Y,X_65))) )],[refute_0_2058,refute_0_2059]) ).
cnf(refute_0_2061,plain,
commutator(X_65,commutator(X,Y)) = inverse(commutator(X,commutator(Y,X_65))),
inference(resolve,[$cnf( $equal(commutator(X_65,commutator(X,Y)),inverse(commutator(commutator(X,Y),X_65))) )],[refute_0_2057,refute_0_2060]) ).
cnf(refute_0_2062,plain,
commutator(commutator(Y,X_65),X) = commutator(Y,commutator(X_65,X)),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(Y)),bind(Y,$fot(X_65)),bind(Z,$fot(X))]]) ).
cnf(refute_0_2063,plain,
inverse(commutator(X,commutator(Y,X_65))) = commutator(commutator(Y,X_65),X),
inference(subst,[],[refute_0_386:[bind(X,$fot(commutator(Y,X_65))),bind(Y,$fot(X))]]) ).
cnf(refute_0_2064,plain,
( commutator(commutator(Y,X_65),X) != commutator(Y,commutator(X_65,X))
| inverse(commutator(X,commutator(Y,X_65))) != commutator(commutator(Y,X_65),X)
| inverse(commutator(X,commutator(Y,X_65))) = commutator(Y,commutator(X_65,X)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(commutator(X,commutator(Y,X_65))))),bind(Y0,$fot(commutator(commutator(Y,X_65),X))),bind(Z0,$fot(commutator(Y,commutator(X_65,X))))]]) ).
cnf(refute_0_2065,plain,
( commutator(commutator(Y,X_65),X) != commutator(Y,commutator(X_65,X))
| inverse(commutator(X,commutator(Y,X_65))) = commutator(Y,commutator(X_65,X)) ),
inference(resolve,[$cnf( $equal(inverse(commutator(X,commutator(Y,X_65))),commutator(commutator(Y,X_65),X)) )],[refute_0_2063,refute_0_2064]) ).
cnf(refute_0_2066,plain,
inverse(commutator(X,commutator(Y,X_65))) = commutator(Y,commutator(X_65,X)),
inference(resolve,[$cnf( $equal(commutator(commutator(Y,X_65),X),commutator(Y,commutator(X_65,X))) )],[refute_0_2062,refute_0_2065]) ).
cnf(refute_0_2067,plain,
( commutator(X_65,commutator(X,Y)) != inverse(commutator(X,commutator(Y,X_65)))
| inverse(commutator(X,commutator(Y,X_65))) != commutator(Y,commutator(X_65,X))
| commutator(X_65,commutator(X,Y)) = commutator(Y,commutator(X_65,X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(X_65,commutator(X,Y)),commutator(Y,commutator(X_65,X))) ),[0],$fot(inverse(commutator(X,commutator(Y,X_65))))]]) ).
cnf(refute_0_2068,plain,
( commutator(X_65,commutator(X,Y)) != inverse(commutator(X,commutator(Y,X_65)))
| commutator(X_65,commutator(X,Y)) = commutator(Y,commutator(X_65,X)) ),
inference(resolve,[$cnf( $equal(inverse(commutator(X,commutator(Y,X_65))),commutator(Y,commutator(X_65,X))) )],[refute_0_2066,refute_0_2067]) ).
cnf(refute_0_2069,plain,
commutator(X_65,commutator(X,Y)) = commutator(Y,commutator(X_65,X)),
inference(resolve,[$cnf( $equal(commutator(X_65,commutator(X,Y)),inverse(commutator(X,commutator(Y,X_65)))) )],[refute_0_2061,refute_0_2068]) ).
cnf(refute_0_2070,plain,
commutator(commutator(X,Y),commutator(X_69,Y)) = commutator(Y,commutator(commutator(X,Y),X_69)),
inference(subst,[],[refute_0_2069:[bind(X,$fot(X_69)),bind(X_65,$fot(commutator(X,Y)))]]) ).
cnf(refute_0_2071,plain,
( commutator(Y,commutator(commutator(X,Y),X_69)) != commutator(Y,commutator(X,commutator(Y,X_69)))
| commutator(commutator(X,Y),commutator(X_69,Y)) != commutator(Y,commutator(commutator(X,Y),X_69))
| commutator(commutator(X,Y),commutator(X_69,Y)) = commutator(Y,commutator(X,commutator(Y,X_69))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(commutator(X,Y),commutator(X_69,Y)))),bind(Y0,$fot(commutator(Y,commutator(commutator(X,Y),X_69)))),bind(Z0,$fot(commutator(Y,commutator(X,commutator(Y,X_69)))))]]) ).
cnf(refute_0_2072,plain,
( commutator(Y,commutator(commutator(X,Y),X_69)) != commutator(Y,commutator(X,commutator(Y,X_69)))
| commutator(commutator(X,Y),commutator(X_69,Y)) = commutator(Y,commutator(X,commutator(Y,X_69))) ),
inference(resolve,[$cnf( $equal(commutator(commutator(X,Y),commutator(X_69,Y)),commutator(Y,commutator(commutator(X,Y),X_69))) )],[refute_0_2070,refute_0_2071]) ).
cnf(refute_0_2073,plain,
commutator(commutator(X,Y),commutator(X_69,Y)) = commutator(Y,commutator(X,commutator(Y,X_69))),
inference(resolve,[$cnf( $equal(commutator(Y,commutator(commutator(X,Y),X_69)),commutator(Y,commutator(X,commutator(Y,X_69)))) )],[refute_0_2056,refute_0_2072]) ).
cnf(refute_0_2074,plain,
( commutator(commutator(X,Y),commutator(X_69,Y)) != commutator(X,identity)
| commutator(commutator(X,Y),commutator(X_69,Y)) != commutator(Y,commutator(X,commutator(Y,X_69)))
| commutator(Y,commutator(X,commutator(Y,X_69))) = commutator(X,identity) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(X,Y),commutator(X_69,Y)),commutator(X,identity)) ),[0],$fot(commutator(Y,commutator(X,commutator(Y,X_69))))]]) ).
cnf(refute_0_2075,plain,
( commutator(commutator(X,Y),commutator(X_69,Y)) != commutator(X,identity)
| commutator(Y,commutator(X,commutator(Y,X_69))) = commutator(X,identity) ),
inference(resolve,[$cnf( $equal(commutator(commutator(X,Y),commutator(X_69,Y)),commutator(Y,commutator(X,commutator(Y,X_69)))) )],[refute_0_2073,refute_0_2074]) ).
cnf(refute_0_2076,plain,
( commutator(X,identity) != identity
| commutator(Y,commutator(X,commutator(Y,X_69))) != commutator(X,identity)
| commutator(Y,commutator(X,commutator(Y,X_69))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(commutator(Y,commutator(X,commutator(Y,X_69))),commutator(X,identity)) ),[1],$fot(identity)]]) ).
cnf(refute_0_2077,plain,
( commutator(Y,commutator(X,commutator(Y,X_69))) != commutator(X,identity)
| commutator(Y,commutator(X,commutator(Y,X_69))) = identity ),
inference(resolve,[$cnf( $equal(commutator(X,identity),identity) )],[refute_0_1868,refute_0_2076]) ).
cnf(refute_0_2078,plain,
( commutator(commutator(X,Y),commutator(X_69,Y)) != commutator(X,identity)
| commutator(Y,commutator(X,commutator(Y,X_69))) = identity ),
inference(resolve,[$cnf( $equal(commutator(Y,commutator(X,commutator(Y,X_69))),commutator(X,identity)) )],[refute_0_2075,refute_0_2077]) ).
cnf(refute_0_2079,plain,
commutator(Y,commutator(X,commutator(Y,X_69))) = identity,
inference(resolve,[$cnf( $equal(commutator(commutator(X,Y),commutator(X_69,Y)),commutator(X,identity)) )],[refute_0_2051,refute_0_2078]) ).
cnf(refute_0_2080,plain,
commutator(X_215,commutator(commutator(X,Y),commutator(X_215,X_216))) = identity,
inference(subst,[],[refute_0_2079:[bind(X,$fot(commutator(X,Y))),bind(Y,$fot(X_215)),bind(X_69,$fot(X_216))]]) ).
cnf(refute_0_2081,plain,
commutator(commutator(X,Y),commutator(X_215,X_216)) = commutator(X,commutator(Y,commutator(X_215,X_216))),
inference(subst,[],[associativity_of_commutator:[bind(Z,$fot(commutator(X_215,X_216)))]]) ).
cnf(refute_0_2082,plain,
( commutator(X_215,commutator(commutator(X,Y),commutator(X_215,X_216))) != identity
| commutator(commutator(X,Y),commutator(X_215,X_216)) != commutator(X,commutator(Y,commutator(X_215,X_216)))
| commutator(X_215,commutator(X,commutator(Y,commutator(X_215,X_216)))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_215,commutator(commutator(X,Y),commutator(X_215,X_216))),identity) ),[0,1],$fot(commutator(X,commutator(Y,commutator(X_215,X_216))))]]) ).
cnf(refute_0_2083,plain,
( commutator(X_215,commutator(commutator(X,Y),commutator(X_215,X_216))) != identity
| commutator(X_215,commutator(X,commutator(Y,commutator(X_215,X_216)))) = identity ),
inference(resolve,[$cnf( $equal(commutator(commutator(X,Y),commutator(X_215,X_216)),commutator(X,commutator(Y,commutator(X_215,X_216)))) )],[refute_0_2081,refute_0_2082]) ).
cnf(refute_0_2084,plain,
commutator(X_215,commutator(X,commutator(Y,commutator(X_215,X_216)))) = identity,
inference(resolve,[$cnf( $equal(commutator(X_215,commutator(commutator(X,Y),commutator(X_215,X_216))),identity) )],[refute_0_2080,refute_0_2083]) ).
cnf(refute_0_2085,plain,
commutator(X_469,commutator(X_468,commutator(X_468,commutator(X_469,X_467)))) = identity,
inference(subst,[],[refute_0_2084:[bind(X,$fot(X_468)),bind(Y,$fot(X_468)),bind(X_215,$fot(X_469)),bind(X_216,$fot(X_467))]]) ).
cnf(refute_0_2086,plain,
commutator(X_467,commutator(X_469,commutator(X_468,commutator(X_468,commutator(X_469,X_467))))) = commutator(X_467,commutator(X_469,commutator(X_468,commutator(X_468,commutator(X_469,X_467))))),
introduced(tautology,[refl,[$fot(commutator(X_467,commutator(X_469,commutator(X_468,commutator(X_468,commutator(X_469,X_467))))))]]) ).
cnf(refute_0_2087,plain,
( commutator(X_467,commutator(X_469,commutator(X_468,commutator(X_468,commutator(X_469,X_467))))) != commutator(X_467,commutator(X_469,commutator(X_468,commutator(X_468,commutator(X_469,X_467)))))
| commutator(X_469,commutator(X_468,commutator(X_468,commutator(X_469,X_467)))) != identity
| commutator(X_467,commutator(X_469,commutator(X_468,commutator(X_468,commutator(X_469,X_467))))) = commutator(X_467,identity) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_467,commutator(X_469,commutator(X_468,commutator(X_468,commutator(X_469,X_467))))),commutator(X_467,commutator(X_469,commutator(X_468,commutator(X_468,commutator(X_469,X_467)))))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_2088,plain,
( commutator(X_469,commutator(X_468,commutator(X_468,commutator(X_469,X_467)))) != identity
| commutator(X_467,commutator(X_469,commutator(X_468,commutator(X_468,commutator(X_469,X_467))))) = commutator(X_467,identity) ),
inference(resolve,[$cnf( $equal(commutator(X_467,commutator(X_469,commutator(X_468,commutator(X_468,commutator(X_469,X_467))))),commutator(X_467,commutator(X_469,commutator(X_468,commutator(X_468,commutator(X_469,X_467)))))) )],[refute_0_2086,refute_0_2087]) ).
cnf(refute_0_2089,plain,
commutator(X_467,commutator(X_469,commutator(X_468,commutator(X_468,commutator(X_469,X_467))))) = commutator(X_467,identity),
inference(resolve,[$cnf( $equal(commutator(X_469,commutator(X_468,commutator(X_468,commutator(X_469,X_467)))),identity) )],[refute_0_2085,refute_0_2088]) ).
cnf(refute_0_2090,plain,
( commutator(X_467,commutator(X_469,commutator(X_468,commutator(X_468,commutator(X_469,X_467))))) != commutator(X_467,identity)
| commutator(X_467,identity) != identity
| commutator(X_467,commutator(X_469,commutator(X_468,commutator(X_468,commutator(X_469,X_467))))) = identity ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(X_467,commutator(X_469,commutator(X_468,commutator(X_468,commutator(X_469,X_467))))))),bind(Y0,$fot(commutator(X_467,identity))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_2091,plain,
( commutator(X_467,identity) != identity
| commutator(X_467,commutator(X_469,commutator(X_468,commutator(X_468,commutator(X_469,X_467))))) = identity ),
inference(resolve,[$cnf( $equal(commutator(X_467,commutator(X_469,commutator(X_468,commutator(X_468,commutator(X_469,X_467))))),commutator(X_467,identity)) )],[refute_0_2089,refute_0_2090]) ).
cnf(refute_0_2092,plain,
commutator(X_467,commutator(X_469,commutator(X_468,commutator(X_468,commutator(X_469,X_467))))) = identity,
inference(resolve,[$cnf( $equal(commutator(X_467,identity),identity) )],[refute_0_2046,refute_0_2091]) ).
cnf(refute_0_2093,plain,
commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467)))) = commutator(X_467,commutator(X_469,commutator(X_468,commutator(X_468,commutator(X_469,X_467))))),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(X_467)),bind(Y,$fot(X_469)),bind(Z,$fot(commutator(X_468,commutator(X_468,commutator(X_469,X_467)))))]]) ).
cnf(refute_0_2094,plain,
( commutator(X_467,commutator(X_469,commutator(X_468,commutator(X_468,commutator(X_469,X_467))))) != identity
| commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467)))) != commutator(X_467,commutator(X_469,commutator(X_468,commutator(X_468,commutator(X_469,X_467)))))
| commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467)))) = identity ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467)))))),bind(Y0,$fot(commutator(X_467,commutator(X_469,commutator(X_468,commutator(X_468,commutator(X_469,X_467))))))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_2095,plain,
( commutator(X_467,commutator(X_469,commutator(X_468,commutator(X_468,commutator(X_469,X_467))))) != identity
| commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467)))) = identity ),
inference(resolve,[$cnf( $equal(commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467)))),commutator(X_467,commutator(X_469,commutator(X_468,commutator(X_468,commutator(X_469,X_467)))))) )],[refute_0_2093,refute_0_2094]) ).
cnf(refute_0_2096,plain,
commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467)))) = identity,
inference(resolve,[$cnf( $equal(commutator(X_467,commutator(X_469,commutator(X_468,commutator(X_468,commutator(X_469,X_467))))),identity) )],[refute_0_2092,refute_0_2095]) ).
cnf(refute_0_2097,plain,
multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467))))) = multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467))))),
introduced(tautology,[refl,[$fot(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467))))))]]) ).
cnf(refute_0_2098,plain,
( multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467))))) != multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467)))))
| commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467)))) != identity
| multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467))))) = multiply(commutator(X_468,commutator(X_467,X_469)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467))))),multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467)))))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_2099,plain,
( commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467)))) != identity
| multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467))))) = multiply(commutator(X_468,commutator(X_467,X_469)),identity) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467))))),multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467)))))) )],[refute_0_2097,refute_0_2098]) ).
cnf(refute_0_2100,plain,
multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467))))) = multiply(commutator(X_468,commutator(X_467,X_469)),identity),
inference(resolve,[$cnf( $equal(commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467)))),identity) )],[refute_0_2096,refute_0_2099]) ).
cnf(refute_0_2101,plain,
( multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467))))) != multiply(commutator(X_468,commutator(X_467,X_469)),identity)
| multiply(commutator(X_468,commutator(X_467,X_469)),identity) != commutator(X_468,commutator(X_467,X_469))
| multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467))))) = commutator(X_468,commutator(X_467,X_469)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467))))))),bind(Y0,$fot(multiply(commutator(X_468,commutator(X_467,X_469)),identity))),bind(Z0,$fot(commutator(X_468,commutator(X_467,X_469))))]]) ).
cnf(refute_0_2102,plain,
( multiply(commutator(X_468,commutator(X_467,X_469)),identity) != commutator(X_468,commutator(X_467,X_469))
| multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467))))) = commutator(X_468,commutator(X_467,X_469)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467))))),multiply(commutator(X_468,commutator(X_467,X_469)),identity)) )],[refute_0_2100,refute_0_2101]) ).
cnf(refute_0_2103,plain,
multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467))))) = commutator(X_468,commutator(X_467,X_469)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_468,commutator(X_467,X_469)),identity),commutator(X_468,commutator(X_467,X_469))) )],[refute_0_2045,refute_0_2102]) ).
cnf(refute_0_2104,plain,
inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467)))))) = inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467)))))),
introduced(tautology,[refl,[$fot(inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467)))))))]]) ).
cnf(refute_0_2105,plain,
( multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467))))) != commutator(X_468,commutator(X_467,X_469))
| inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467)))))) != inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467))))))
| inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467)))))) = inverse(commutator(X_468,commutator(X_467,X_469))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467)))))),inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467))))))) ),[1,0],$fot(commutator(X_468,commutator(X_467,X_469)))]]) ).
cnf(refute_0_2106,plain,
( multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467))))) != commutator(X_468,commutator(X_467,X_469))
| inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467)))))) = inverse(commutator(X_468,commutator(X_467,X_469))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467)))))),inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467))))))) )],[refute_0_2104,refute_0_2105]) ).
cnf(refute_0_2107,plain,
inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467)))))) = inverse(commutator(X_468,commutator(X_467,X_469))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467))))),commutator(X_468,commutator(X_467,X_469))) )],[refute_0_2103,refute_0_2106]) ).
cnf(refute_0_2108,plain,
( inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467)))))) != inverse(commutator(X_468,commutator(X_467,X_469)))
| inverse(commutator(X_468,commutator(X_467,X_469))) != commutator(X_467,commutator(X_469,X_468))
| inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467)))))) = commutator(X_467,commutator(X_469,X_468)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467)))))))),bind(Y0,$fot(inverse(commutator(X_468,commutator(X_467,X_469))))),bind(Z0,$fot(commutator(X_467,commutator(X_469,X_468))))]]) ).
cnf(refute_0_2109,plain,
( inverse(commutator(X_468,commutator(X_467,X_469))) != commutator(X_467,commutator(X_469,X_468))
| inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467)))))) = commutator(X_467,commutator(X_469,X_468)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467)))))),inverse(commutator(X_468,commutator(X_467,X_469)))) )],[refute_0_2107,refute_0_2108]) ).
cnf(refute_0_2110,plain,
inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467)))))) = commutator(X_467,commutator(X_469,X_468)),
inference(resolve,[$cnf( $equal(inverse(commutator(X_468,commutator(X_467,X_469))),commutator(X_467,commutator(X_469,X_468))) )],[refute_0_2044,refute_0_2109]) ).
cnf(refute_0_2111,plain,
multiply(commutator(X_255,X_256),inverse(multiply(X_10,X_256))) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(X_10,X_256))))),
inference(subst,[],[refute_0_246:[bind(X,$fot(X_255)),bind(Y,$fot(X_256)),bind(X_11,$fot(inverse(multiply(X_10,X_256))))]]) ).
cnf(refute_0_2112,plain,
multiply(X_256,inverse(multiply(X_10,X_256))) = inverse(X_10),
inference(subst,[],[refute_0_176:[bind(X_57,$fot(X_256))]]) ).
cnf(refute_0_2113,plain,
( multiply(X_256,inverse(multiply(X_10,X_256))) != inverse(X_10)
| multiply(commutator(X_255,X_256),inverse(multiply(X_10,X_256))) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(X_10,X_256)))))
| multiply(commutator(X_255,X_256),inverse(multiply(X_10,X_256))) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,inverse(X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_255,X_256),inverse(multiply(X_10,X_256))),multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(X_10,X_256)))))) ),[1,1,1],$fot(inverse(X_10))]]) ).
cnf(refute_0_2114,plain,
( multiply(commutator(X_255,X_256),inverse(multiply(X_10,X_256))) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(X_10,X_256)))))
| multiply(commutator(X_255,X_256),inverse(multiply(X_10,X_256))) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,inverse(X_10))) ),
inference(resolve,[$cnf( $equal(multiply(X_256,inverse(multiply(X_10,X_256))),inverse(X_10)) )],[refute_0_2112,refute_0_2113]) ).
cnf(refute_0_2115,plain,
multiply(commutator(X_255,X_256),inverse(multiply(X_10,X_256))) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,inverse(X_10))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,X_256),inverse(multiply(X_10,X_256))),multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(X_10,X_256)))))) )],[refute_0_2111,refute_0_2114]) ).
cnf(refute_0_2116,plain,
multiply(multiply(X_10,X_256),commutator(X_256,X_255)) = multiply(X_10,multiply(X_256,commutator(X_256,X_255))),
inference(subst,[],[associativity:[bind(X,$fot(X_10)),bind(Y,$fot(X_256)),bind(Z,$fot(commutator(X_256,X_255)))]]) ).
cnf(refute_0_2117,plain,
inverse(multiply(multiply(X_10,X_256),commutator(X_256,X_255))) = inverse(multiply(multiply(X_10,X_256),commutator(X_256,X_255))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_10,X_256),commutator(X_256,X_255))))]]) ).
cnf(refute_0_2118,plain,
( multiply(multiply(X_10,X_256),commutator(X_256,X_255)) != multiply(X_10,multiply(X_256,commutator(X_256,X_255)))
| inverse(multiply(multiply(X_10,X_256),commutator(X_256,X_255))) != inverse(multiply(multiply(X_10,X_256),commutator(X_256,X_255)))
| inverse(multiply(multiply(X_10,X_256),commutator(X_256,X_255))) = inverse(multiply(X_10,multiply(X_256,commutator(X_256,X_255)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_10,X_256),commutator(X_256,X_255))),inverse(multiply(multiply(X_10,X_256),commutator(X_256,X_255)))) ),[1,0],$fot(multiply(X_10,multiply(X_256,commutator(X_256,X_255))))]]) ).
cnf(refute_0_2119,plain,
( multiply(multiply(X_10,X_256),commutator(X_256,X_255)) != multiply(X_10,multiply(X_256,commutator(X_256,X_255)))
| inverse(multiply(multiply(X_10,X_256),commutator(X_256,X_255))) = inverse(multiply(X_10,multiply(X_256,commutator(X_256,X_255)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_10,X_256),commutator(X_256,X_255))),inverse(multiply(multiply(X_10,X_256),commutator(X_256,X_255)))) )],[refute_0_2117,refute_0_2118]) ).
cnf(refute_0_2120,plain,
inverse(multiply(multiply(X_10,X_256),commutator(X_256,X_255))) = inverse(multiply(X_10,multiply(X_256,commutator(X_256,X_255)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_10,X_256),commutator(X_256,X_255)),multiply(X_10,multiply(X_256,commutator(X_256,X_255)))) )],[refute_0_2116,refute_0_2119]) ).
cnf(refute_0_2121,plain,
multiply(commutator(X_255,X_256),inverse(multiply(X_10,X_256))) = inverse(multiply(multiply(X_10,X_256),commutator(X_256,X_255))),
inference(subst,[],[refute_0_378:[bind(X_58,$fot(multiply(X_10,X_256))),bind(X_65,$fot(X_255)),bind(X_66,$fot(X_256))]]) ).
cnf(refute_0_2122,plain,
( multiply(commutator(X_255,X_256),inverse(multiply(X_10,X_256))) != inverse(multiply(multiply(X_10,X_256),commutator(X_256,X_255)))
| inverse(multiply(multiply(X_10,X_256),commutator(X_256,X_255))) != inverse(multiply(X_10,multiply(X_256,commutator(X_256,X_255))))
| multiply(commutator(X_255,X_256),inverse(multiply(X_10,X_256))) = inverse(multiply(X_10,multiply(X_256,commutator(X_256,X_255)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_255,X_256),inverse(multiply(X_10,X_256))))),bind(Y0,$fot(inverse(multiply(multiply(X_10,X_256),commutator(X_256,X_255))))),bind(Z0,$fot(inverse(multiply(X_10,multiply(X_256,commutator(X_256,X_255))))))]]) ).
cnf(refute_0_2123,plain,
( inverse(multiply(multiply(X_10,X_256),commutator(X_256,X_255))) != inverse(multiply(X_10,multiply(X_256,commutator(X_256,X_255))))
| multiply(commutator(X_255,X_256),inverse(multiply(X_10,X_256))) = inverse(multiply(X_10,multiply(X_256,commutator(X_256,X_255)))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,X_256),inverse(multiply(X_10,X_256))),inverse(multiply(multiply(X_10,X_256),commutator(X_256,X_255)))) )],[refute_0_2121,refute_0_2122]) ).
cnf(refute_0_2124,plain,
multiply(commutator(X_255,X_256),inverse(multiply(X_10,X_256))) = inverse(multiply(X_10,multiply(X_256,commutator(X_256,X_255)))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_10,X_256),commutator(X_256,X_255))),inverse(multiply(X_10,multiply(X_256,commutator(X_256,X_255))))) )],[refute_0_2120,refute_0_2123]) ).
cnf(refute_0_2125,plain,
( multiply(commutator(X_255,X_256),inverse(multiply(X_10,X_256))) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,inverse(X_10)))
| multiply(commutator(X_255,X_256),inverse(multiply(X_10,X_256))) != inverse(multiply(X_10,multiply(X_256,commutator(X_256,X_255))))
| inverse(multiply(X_10,multiply(X_256,commutator(X_256,X_255)))) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,inverse(X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_255,X_256),inverse(multiply(X_10,X_256))),multiply(inverse(multiply(X_256,X_255)),multiply(X_255,inverse(X_10)))) ),[0],$fot(inverse(multiply(X_10,multiply(X_256,commutator(X_256,X_255)))))]]) ).
cnf(refute_0_2126,plain,
( multiply(commutator(X_255,X_256),inverse(multiply(X_10,X_256))) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,inverse(X_10)))
| inverse(multiply(X_10,multiply(X_256,commutator(X_256,X_255)))) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,inverse(X_10))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,X_256),inverse(multiply(X_10,X_256))),inverse(multiply(X_10,multiply(X_256,commutator(X_256,X_255))))) )],[refute_0_2124,refute_0_2125]) ).
cnf(refute_0_2127,plain,
multiply(inverse(multiply(X_256,X_255)),multiply(X_255,inverse(X_10))) = inverse(multiply(X_10,multiply(inverse(X_255),multiply(X_256,X_255)))),
inference(subst,[],[refute_0_1684:[bind(X_58,$fot(X_10)),bind(X_73,$fot(multiply(X_256,X_255))),bind(X_74,$fot(X_255))]]) ).
cnf(refute_0_2128,plain,
( multiply(inverse(multiply(X_256,X_255)),multiply(X_255,inverse(X_10))) != inverse(multiply(X_10,multiply(inverse(X_255),multiply(X_256,X_255))))
| inverse(multiply(X_10,multiply(X_256,commutator(X_256,X_255)))) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,inverse(X_10)))
| inverse(multiply(X_10,multiply(X_256,commutator(X_256,X_255)))) = inverse(multiply(X_10,multiply(inverse(X_255),multiply(X_256,X_255)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_10,multiply(X_256,commutator(X_256,X_255)))),multiply(inverse(multiply(X_256,X_255)),multiply(X_255,inverse(X_10)))) ),[1],$fot(inverse(multiply(X_10,multiply(inverse(X_255),multiply(X_256,X_255)))))]]) ).
cnf(refute_0_2129,plain,
( inverse(multiply(X_10,multiply(X_256,commutator(X_256,X_255)))) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,inverse(X_10)))
| inverse(multiply(X_10,multiply(X_256,commutator(X_256,X_255)))) = inverse(multiply(X_10,multiply(inverse(X_255),multiply(X_256,X_255)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_256,X_255)),multiply(X_255,inverse(X_10))),inverse(multiply(X_10,multiply(inverse(X_255),multiply(X_256,X_255))))) )],[refute_0_2127,refute_0_2128]) ).
cnf(refute_0_2130,plain,
( multiply(commutator(X_255,X_256),inverse(multiply(X_10,X_256))) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,inverse(X_10)))
| inverse(multiply(X_10,multiply(X_256,commutator(X_256,X_255)))) = inverse(multiply(X_10,multiply(inverse(X_255),multiply(X_256,X_255)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,multiply(X_256,commutator(X_256,X_255)))),multiply(inverse(multiply(X_256,X_255)),multiply(X_255,inverse(X_10)))) )],[refute_0_2126,refute_0_2129]) ).
cnf(refute_0_2131,plain,
inverse(multiply(X_10,multiply(X_256,commutator(X_256,X_255)))) = inverse(multiply(X_10,multiply(inverse(X_255),multiply(X_256,X_255)))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,X_256),inverse(multiply(X_10,X_256))),multiply(inverse(multiply(X_256,X_255)),multiply(X_255,inverse(X_10)))) )],[refute_0_2115,refute_0_2130]) ).
cnf(refute_0_2132,plain,
inverse(multiply(X_10,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))) = inverse(multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))),
inference(subst,[],[refute_0_2131:[bind(X_255,$fot(commutator(X_468,commutator(X_467,X_469)))),bind(X_256,$fot(commutator(X_468,commutator(X_469,X_467))))]]) ).
cnf(refute_0_2133,plain,
( multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))) != identity
| inverse(multiply(X_10,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))) != inverse(multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))))))
| inverse(multiply(X_10,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))) = inverse(multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_10,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))),inverse(multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))))))) ),[1,0,1,1],$fot(identity)]]) ).
cnf(refute_0_2134,plain,
( inverse(multiply(X_10,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))) != inverse(multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))))))
| inverse(multiply(X_10,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))) = inverse(multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))),identity) )],[refute_0_2013,refute_0_2133]) ).
cnf(refute_0_2135,plain,
inverse(multiply(X_10,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))) = inverse(multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))),inverse(multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))))))) )],[refute_0_2132,refute_0_2134]) ).
cnf(refute_0_2136,plain,
multiply(commutator(X_468,commutator(X_469,X_467)),identity) = commutator(X_468,commutator(X_469,X_467)),
inference(subst,[],[refute_0_100:[bind(X_16,$fot(commutator(X_468,commutator(X_469,X_467))))]]) ).
cnf(refute_0_2137,plain,
commutator(X_468,commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_469,X_467)))) = identity,
inference(subst,[],[refute_0_2079:[bind(X,$fot(commutator(X_467,X_469))),bind(Y,$fot(X_468)),bind(X_69,$fot(commutator(X_469,X_467)))]]) ).
cnf(refute_0_2138,plain,
multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_469,X_467))))) = multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_469,X_467))))),
introduced(tautology,[refl,[$fot(multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_469,X_467))))))]]) ).
cnf(refute_0_2139,plain,
( multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_469,X_467))))) != multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_469,X_467)))))
| commutator(X_468,commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_469,X_467)))) != identity
| multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_469,X_467))))) = multiply(commutator(X_468,commutator(X_469,X_467)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_469,X_467))))),multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_469,X_467)))))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_2140,plain,
( commutator(X_468,commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_469,X_467)))) != identity
| multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_469,X_467))))) = multiply(commutator(X_468,commutator(X_469,X_467)),identity) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_469,X_467))))),multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_469,X_467)))))) )],[refute_0_2138,refute_0_2139]) ).
cnf(refute_0_2141,plain,
multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_469,X_467))))) = multiply(commutator(X_468,commutator(X_469,X_467)),identity),
inference(resolve,[$cnf( $equal(commutator(X_468,commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_469,X_467)))),identity) )],[refute_0_2137,refute_0_2140]) ).
cnf(refute_0_2142,plain,
( multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_469,X_467))))) != multiply(commutator(X_468,commutator(X_469,X_467)),identity)
| multiply(commutator(X_468,commutator(X_469,X_467)),identity) != commutator(X_468,commutator(X_469,X_467))
| multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_469,X_467))))) = commutator(X_468,commutator(X_469,X_467)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_469,X_467))))))),bind(Y0,$fot(multiply(commutator(X_468,commutator(X_469,X_467)),identity))),bind(Z0,$fot(commutator(X_468,commutator(X_469,X_467))))]]) ).
cnf(refute_0_2143,plain,
( multiply(commutator(X_468,commutator(X_469,X_467)),identity) != commutator(X_468,commutator(X_469,X_467))
| multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_469,X_467))))) = commutator(X_468,commutator(X_469,X_467)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_469,X_467))))),multiply(commutator(X_468,commutator(X_469,X_467)),identity)) )],[refute_0_2141,refute_0_2142]) ).
cnf(refute_0_2144,plain,
multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_469,X_467))))) = commutator(X_468,commutator(X_469,X_467)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_468,commutator(X_469,X_467)),identity),commutator(X_468,commutator(X_469,X_467))) )],[refute_0_2136,refute_0_2143]) ).
cnf(refute_0_2145,plain,
inverse(multiply(commutator(X_375,commutator(X_374,X_376)),inverse(X))) = multiply(X,inverse(commutator(X_375,commutator(X_374,X_376)))),
inference(subst,[],[refute_0_180:[bind(X_58,$fot(commutator(X_375,commutator(X_374,X_376))))]]) ).
cnf(refute_0_2146,plain,
multiply(commutator(X_255,commutator(Z,X_169)),X_257) = multiply(inverse(multiply(commutator(Z,X_169),X_255)),multiply(X_255,multiply(commutator(Z,X_169),X_257))),
inference(subst,[],[refute_0_246:[bind(X,$fot(X_255)),bind(Y,$fot(commutator(Z,X_169))),bind(X_11,$fot(X_257))]]) ).
cnf(refute_0_2147,plain,
commutator(X_169,commutator(Z,X_255)) = commutator(X_255,commutator(Z,X_169)),
inference(subst,[],[refute_0_1341:[bind(X_170,$fot(X_255))]]) ).
cnf(refute_0_2148,plain,
( commutator(X_169,commutator(Z,X_255)) != commutator(X_255,commutator(Z,X_169))
| commutator(X_255,commutator(Z,X_169)) = commutator(X_169,commutator(Z,X_255)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_169,commutator(Z,X_255)))),bind(Y0,$fot(commutator(X_255,commutator(Z,X_169))))]]) ).
cnf(refute_0_2149,plain,
commutator(X_255,commutator(Z,X_169)) = commutator(X_169,commutator(Z,X_255)),
inference(resolve,[$cnf( $equal(commutator(X_169,commutator(Z,X_255)),commutator(X_255,commutator(Z,X_169))) )],[refute_0_2147,refute_0_2148]) ).
cnf(refute_0_2150,plain,
( multiply(commutator(X_255,commutator(Z,X_169)),X_257) != multiply(inverse(multiply(commutator(Z,X_169),X_255)),multiply(X_255,multiply(commutator(Z,X_169),X_257)))
| commutator(X_255,commutator(Z,X_169)) != commutator(X_169,commutator(Z,X_255))
| multiply(commutator(X_169,commutator(Z,X_255)),X_257) = multiply(inverse(multiply(commutator(Z,X_169),X_255)),multiply(X_255,multiply(commutator(Z,X_169),X_257))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_255,commutator(Z,X_169)),X_257),multiply(inverse(multiply(commutator(Z,X_169),X_255)),multiply(X_255,multiply(commutator(Z,X_169),X_257)))) ),[0,0],$fot(commutator(X_169,commutator(Z,X_255)))]]) ).
cnf(refute_0_2151,plain,
( multiply(commutator(X_255,commutator(Z,X_169)),X_257) != multiply(inverse(multiply(commutator(Z,X_169),X_255)),multiply(X_255,multiply(commutator(Z,X_169),X_257)))
| multiply(commutator(X_169,commutator(Z,X_255)),X_257) = multiply(inverse(multiply(commutator(Z,X_169),X_255)),multiply(X_255,multiply(commutator(Z,X_169),X_257))) ),
inference(resolve,[$cnf( $equal(commutator(X_255,commutator(Z,X_169)),commutator(X_169,commutator(Z,X_255))) )],[refute_0_2149,refute_0_2150]) ).
cnf(refute_0_2152,plain,
multiply(commutator(X_169,commutator(Z,X_255)),X_257) = multiply(inverse(multiply(commutator(Z,X_169),X_255)),multiply(X_255,multiply(commutator(Z,X_169),X_257))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,commutator(Z,X_169)),X_257),multiply(inverse(multiply(commutator(Z,X_169),X_255)),multiply(X_255,multiply(commutator(Z,X_169),X_257)))) )],[refute_0_2146,refute_0_2151]) ).
cnf(refute_0_2153,plain,
multiply(inverse(multiply(commutator(Z,X_169),X_255)),multiply(X_255,multiply(commutator(Z,X_169),X_257))) = multiply(commutator(X_255,commutator(Z,X_169)),X_257),
inference(subst,[],[refute_0_621:[bind(X,$fot(X_255)),bind(Y,$fot(commutator(Z,X_169))),bind(X_11,$fot(X_257))]]) ).
cnf(refute_0_2154,plain,
( multiply(commutator(X_169,commutator(Z,X_255)),X_257) != multiply(inverse(multiply(commutator(Z,X_169),X_255)),multiply(X_255,multiply(commutator(Z,X_169),X_257)))
| multiply(inverse(multiply(commutator(Z,X_169),X_255)),multiply(X_255,multiply(commutator(Z,X_169),X_257))) != multiply(commutator(X_255,commutator(Z,X_169)),X_257)
| multiply(commutator(X_169,commutator(Z,X_255)),X_257) = multiply(commutator(X_255,commutator(Z,X_169)),X_257) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(commutator(X_169,commutator(Z,X_255)),X_257),multiply(commutator(X_255,commutator(Z,X_169)),X_257)) ),[0],$fot(multiply(inverse(multiply(commutator(Z,X_169),X_255)),multiply(X_255,multiply(commutator(Z,X_169),X_257))))]]) ).
cnf(refute_0_2155,plain,
( multiply(commutator(X_169,commutator(Z,X_255)),X_257) != multiply(inverse(multiply(commutator(Z,X_169),X_255)),multiply(X_255,multiply(commutator(Z,X_169),X_257)))
| multiply(commutator(X_169,commutator(Z,X_255)),X_257) = multiply(commutator(X_255,commutator(Z,X_169)),X_257) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(commutator(Z,X_169),X_255)),multiply(X_255,multiply(commutator(Z,X_169),X_257))),multiply(commutator(X_255,commutator(Z,X_169)),X_257)) )],[refute_0_2153,refute_0_2154]) ).
cnf(refute_0_2156,plain,
multiply(commutator(X_169,commutator(Z,X_255)),X_257) = multiply(commutator(X_255,commutator(Z,X_169)),X_257),
inference(resolve,[$cnf( $equal(multiply(commutator(X_169,commutator(Z,X_255)),X_257),multiply(inverse(multiply(commutator(Z,X_169),X_255)),multiply(X_255,multiply(commutator(Z,X_169),X_257)))) )],[refute_0_2152,refute_0_2155]) ).
cnf(refute_0_2157,plain,
multiply(commutator(X_375,commutator(X_374,X_376)),inverse(X)) = multiply(commutator(X_376,commutator(X_374,X_375)),inverse(X)),
inference(subst,[],[refute_0_2156:[bind(Z,$fot(X_374)),bind(X_169,$fot(X_375)),bind(X_255,$fot(X_376)),bind(X_257,$fot(inverse(X)))]]) ).
cnf(refute_0_2158,plain,
( multiply(commutator(X_375,commutator(X_374,X_376)),inverse(X)) != multiply(commutator(X_376,commutator(X_374,X_375)),inverse(X))
| inverse(multiply(commutator(X_375,commutator(X_374,X_376)),inverse(X))) != multiply(X,inverse(commutator(X_375,commutator(X_374,X_376))))
| inverse(multiply(commutator(X_376,commutator(X_374,X_375)),inverse(X))) = multiply(X,inverse(commutator(X_375,commutator(X_374,X_376)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(commutator(X_375,commutator(X_374,X_376)),inverse(X))),multiply(X,inverse(commutator(X_375,commutator(X_374,X_376))))) ),[0,0],$fot(multiply(commutator(X_376,commutator(X_374,X_375)),inverse(X)))]]) ).
cnf(refute_0_2159,plain,
( inverse(multiply(commutator(X_375,commutator(X_374,X_376)),inverse(X))) != multiply(X,inverse(commutator(X_375,commutator(X_374,X_376))))
| inverse(multiply(commutator(X_376,commutator(X_374,X_375)),inverse(X))) = multiply(X,inverse(commutator(X_375,commutator(X_374,X_376)))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_375,commutator(X_374,X_376)),inverse(X)),multiply(commutator(X_376,commutator(X_374,X_375)),inverse(X))) )],[refute_0_2157,refute_0_2158]) ).
cnf(refute_0_2160,plain,
inverse(multiply(commutator(X_376,commutator(X_374,X_375)),inverse(X))) = multiply(X,inverse(commutator(X_375,commutator(X_374,X_376)))),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_375,commutator(X_374,X_376)),inverse(X))),multiply(X,inverse(commutator(X_375,commutator(X_374,X_376))))) )],[refute_0_2145,refute_0_2159]) ).
cnf(refute_0_2161,plain,
commutator(commutator(X_374,X_375),X_376) = commutator(X_374,commutator(X_375,X_376)),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(X_374)),bind(Y,$fot(X_375)),bind(Z,$fot(X_376))]]) ).
cnf(refute_0_2162,plain,
inverse(commutator(X_376,commutator(X_374,X_375))) = commutator(commutator(X_374,X_375),X_376),
inference(subst,[],[refute_0_386:[bind(X,$fot(commutator(X_374,X_375))),bind(Y,$fot(X_376))]]) ).
cnf(refute_0_2163,plain,
( commutator(commutator(X_374,X_375),X_376) != commutator(X_374,commutator(X_375,X_376))
| inverse(commutator(X_376,commutator(X_374,X_375))) != commutator(commutator(X_374,X_375),X_376)
| inverse(commutator(X_376,commutator(X_374,X_375))) = commutator(X_374,commutator(X_375,X_376)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(commutator(X_376,commutator(X_374,X_375))))),bind(Y0,$fot(commutator(commutator(X_374,X_375),X_376))),bind(Z0,$fot(commutator(X_374,commutator(X_375,X_376))))]]) ).
cnf(refute_0_2164,plain,
( commutator(commutator(X_374,X_375),X_376) != commutator(X_374,commutator(X_375,X_376))
| inverse(commutator(X_376,commutator(X_374,X_375))) = commutator(X_374,commutator(X_375,X_376)) ),
inference(resolve,[$cnf( $equal(inverse(commutator(X_376,commutator(X_374,X_375))),commutator(commutator(X_374,X_375),X_376)) )],[refute_0_2162,refute_0_2163]) ).
cnf(refute_0_2165,plain,
inverse(commutator(X_376,commutator(X_374,X_375))) = commutator(X_374,commutator(X_375,X_376)),
inference(resolve,[$cnf( $equal(commutator(commutator(X_374,X_375),X_376),commutator(X_374,commutator(X_375,X_376))) )],[refute_0_2161,refute_0_2164]) ).
cnf(refute_0_2166,plain,
multiply(X,inverse(commutator(X_376,commutator(X_374,X_375)))) = multiply(X,inverse(commutator(X_376,commutator(X_374,X_375)))),
introduced(tautology,[refl,[$fot(multiply(X,inverse(commutator(X_376,commutator(X_374,X_375)))))]]) ).
cnf(refute_0_2167,plain,
( multiply(X,inverse(commutator(X_376,commutator(X_374,X_375)))) != multiply(X,inverse(commutator(X_376,commutator(X_374,X_375))))
| inverse(commutator(X_376,commutator(X_374,X_375))) != commutator(X_374,commutator(X_375,X_376))
| multiply(X,inverse(commutator(X_376,commutator(X_374,X_375)))) = multiply(X,commutator(X_374,commutator(X_375,X_376))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,inverse(commutator(X_376,commutator(X_374,X_375)))),multiply(X,inverse(commutator(X_376,commutator(X_374,X_375))))) ),[1,1],$fot(commutator(X_374,commutator(X_375,X_376)))]]) ).
cnf(refute_0_2168,plain,
( inverse(commutator(X_376,commutator(X_374,X_375))) != commutator(X_374,commutator(X_375,X_376))
| multiply(X,inverse(commutator(X_376,commutator(X_374,X_375)))) = multiply(X,commutator(X_374,commutator(X_375,X_376))) ),
inference(resolve,[$cnf( $equal(multiply(X,inverse(commutator(X_376,commutator(X_374,X_375)))),multiply(X,inverse(commutator(X_376,commutator(X_374,X_375))))) )],[refute_0_2166,refute_0_2167]) ).
cnf(refute_0_2169,plain,
multiply(X,inverse(commutator(X_376,commutator(X_374,X_375)))) = multiply(X,commutator(X_374,commutator(X_375,X_376))),
inference(resolve,[$cnf( $equal(inverse(commutator(X_376,commutator(X_374,X_375))),commutator(X_374,commutator(X_375,X_376))) )],[refute_0_2165,refute_0_2168]) ).
cnf(refute_0_2170,plain,
inverse(multiply(commutator(X_376,commutator(X_374,X_375)),inverse(X))) = multiply(X,inverse(commutator(X_376,commutator(X_374,X_375)))),
inference(subst,[],[refute_0_180:[bind(X_58,$fot(commutator(X_376,commutator(X_374,X_375))))]]) ).
cnf(refute_0_2171,plain,
( multiply(X,inverse(commutator(X_376,commutator(X_374,X_375)))) != multiply(X,commutator(X_374,commutator(X_375,X_376)))
| inverse(multiply(commutator(X_376,commutator(X_374,X_375)),inverse(X))) != multiply(X,inverse(commutator(X_376,commutator(X_374,X_375))))
| inverse(multiply(commutator(X_376,commutator(X_374,X_375)),inverse(X))) = multiply(X,commutator(X_374,commutator(X_375,X_376))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(commutator(X_376,commutator(X_374,X_375)),inverse(X))))),bind(Y0,$fot(multiply(X,inverse(commutator(X_376,commutator(X_374,X_375)))))),bind(Z0,$fot(multiply(X,commutator(X_374,commutator(X_375,X_376)))))]]) ).
cnf(refute_0_2172,plain,
( multiply(X,inverse(commutator(X_376,commutator(X_374,X_375)))) != multiply(X,commutator(X_374,commutator(X_375,X_376)))
| inverse(multiply(commutator(X_376,commutator(X_374,X_375)),inverse(X))) = multiply(X,commutator(X_374,commutator(X_375,X_376))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_376,commutator(X_374,X_375)),inverse(X))),multiply(X,inverse(commutator(X_376,commutator(X_374,X_375))))) )],[refute_0_2170,refute_0_2171]) ).
cnf(refute_0_2173,plain,
inverse(multiply(commutator(X_376,commutator(X_374,X_375)),inverse(X))) = multiply(X,commutator(X_374,commutator(X_375,X_376))),
inference(resolve,[$cnf( $equal(multiply(X,inverse(commutator(X_376,commutator(X_374,X_375)))),multiply(X,commutator(X_374,commutator(X_375,X_376)))) )],[refute_0_2169,refute_0_2172]) ).
cnf(refute_0_2174,plain,
( inverse(multiply(commutator(X_376,commutator(X_374,X_375)),inverse(X))) != multiply(X,commutator(X_374,commutator(X_375,X_376)))
| inverse(multiply(commutator(X_376,commutator(X_374,X_375)),inverse(X))) != multiply(X,inverse(commutator(X_375,commutator(X_374,X_376))))
| multiply(X,commutator(X_374,commutator(X_375,X_376))) = multiply(X,inverse(commutator(X_375,commutator(X_374,X_376)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(commutator(X_376,commutator(X_374,X_375)),inverse(X))),multiply(X,inverse(commutator(X_375,commutator(X_374,X_376))))) ),[0],$fot(multiply(X,commutator(X_374,commutator(X_375,X_376))))]]) ).
cnf(refute_0_2175,plain,
( inverse(multiply(commutator(X_376,commutator(X_374,X_375)),inverse(X))) != multiply(X,inverse(commutator(X_375,commutator(X_374,X_376))))
| multiply(X,commutator(X_374,commutator(X_375,X_376))) = multiply(X,inverse(commutator(X_375,commutator(X_374,X_376)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_376,commutator(X_374,X_375)),inverse(X))),multiply(X,commutator(X_374,commutator(X_375,X_376)))) )],[refute_0_2173,refute_0_2174]) ).
cnf(refute_0_2176,plain,
commutator(commutator(X_374,X_376),X_375) = commutator(X_374,commutator(X_376,X_375)),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(X_374)),bind(Y,$fot(X_376)),bind(Z,$fot(X_375))]]) ).
cnf(refute_0_2177,plain,
inverse(commutator(X_375,commutator(X_374,X_376))) = commutator(commutator(X_374,X_376),X_375),
inference(subst,[],[refute_0_386:[bind(X,$fot(commutator(X_374,X_376))),bind(Y,$fot(X_375))]]) ).
cnf(refute_0_2178,plain,
( commutator(commutator(X_374,X_376),X_375) != commutator(X_374,commutator(X_376,X_375))
| inverse(commutator(X_375,commutator(X_374,X_376))) != commutator(commutator(X_374,X_376),X_375)
| inverse(commutator(X_375,commutator(X_374,X_376))) = commutator(X_374,commutator(X_376,X_375)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(commutator(X_375,commutator(X_374,X_376))))),bind(Y0,$fot(commutator(commutator(X_374,X_376),X_375))),bind(Z0,$fot(commutator(X_374,commutator(X_376,X_375))))]]) ).
cnf(refute_0_2179,plain,
( commutator(commutator(X_374,X_376),X_375) != commutator(X_374,commutator(X_376,X_375))
| inverse(commutator(X_375,commutator(X_374,X_376))) = commutator(X_374,commutator(X_376,X_375)) ),
inference(resolve,[$cnf( $equal(inverse(commutator(X_375,commutator(X_374,X_376))),commutator(commutator(X_374,X_376),X_375)) )],[refute_0_2177,refute_0_2178]) ).
cnf(refute_0_2180,plain,
inverse(commutator(X_375,commutator(X_374,X_376))) = commutator(X_374,commutator(X_376,X_375)),
inference(resolve,[$cnf( $equal(commutator(commutator(X_374,X_376),X_375),commutator(X_374,commutator(X_376,X_375))) )],[refute_0_2176,refute_0_2179]) ).
cnf(refute_0_2181,plain,
multiply(X,inverse(commutator(X_375,commutator(X_374,X_376)))) = multiply(X,inverse(commutator(X_375,commutator(X_374,X_376)))),
introduced(tautology,[refl,[$fot(multiply(X,inverse(commutator(X_375,commutator(X_374,X_376)))))]]) ).
cnf(refute_0_2182,plain,
( multiply(X,inverse(commutator(X_375,commutator(X_374,X_376)))) != multiply(X,inverse(commutator(X_375,commutator(X_374,X_376))))
| inverse(commutator(X_375,commutator(X_374,X_376))) != commutator(X_374,commutator(X_376,X_375))
| multiply(X,inverse(commutator(X_375,commutator(X_374,X_376)))) = multiply(X,commutator(X_374,commutator(X_376,X_375))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,inverse(commutator(X_375,commutator(X_374,X_376)))),multiply(X,inverse(commutator(X_375,commutator(X_374,X_376))))) ),[1,1],$fot(commutator(X_374,commutator(X_376,X_375)))]]) ).
cnf(refute_0_2183,plain,
( inverse(commutator(X_375,commutator(X_374,X_376))) != commutator(X_374,commutator(X_376,X_375))
| multiply(X,inverse(commutator(X_375,commutator(X_374,X_376)))) = multiply(X,commutator(X_374,commutator(X_376,X_375))) ),
inference(resolve,[$cnf( $equal(multiply(X,inverse(commutator(X_375,commutator(X_374,X_376)))),multiply(X,inverse(commutator(X_375,commutator(X_374,X_376))))) )],[refute_0_2181,refute_0_2182]) ).
cnf(refute_0_2184,plain,
multiply(X,inverse(commutator(X_375,commutator(X_374,X_376)))) = multiply(X,commutator(X_374,commutator(X_376,X_375))),
inference(resolve,[$cnf( $equal(inverse(commutator(X_375,commutator(X_374,X_376))),commutator(X_374,commutator(X_376,X_375))) )],[refute_0_2180,refute_0_2183]) ).
cnf(refute_0_2185,plain,
( multiply(X,commutator(X_374,commutator(X_375,X_376))) != multiply(X,inverse(commutator(X_375,commutator(X_374,X_376))))
| multiply(X,inverse(commutator(X_375,commutator(X_374,X_376)))) != multiply(X,commutator(X_374,commutator(X_376,X_375)))
| multiply(X,commutator(X_374,commutator(X_375,X_376))) = multiply(X,commutator(X_374,commutator(X_376,X_375))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,commutator(X_374,commutator(X_375,X_376))),multiply(X,commutator(X_374,commutator(X_376,X_375)))) ),[0],$fot(multiply(X,inverse(commutator(X_375,commutator(X_374,X_376)))))]]) ).
cnf(refute_0_2186,plain,
( multiply(X,commutator(X_374,commutator(X_375,X_376))) != multiply(X,inverse(commutator(X_375,commutator(X_374,X_376))))
| multiply(X,commutator(X_374,commutator(X_375,X_376))) = multiply(X,commutator(X_374,commutator(X_376,X_375))) ),
inference(resolve,[$cnf( $equal(multiply(X,inverse(commutator(X_375,commutator(X_374,X_376)))),multiply(X,commutator(X_374,commutator(X_376,X_375)))) )],[refute_0_2184,refute_0_2185]) ).
cnf(refute_0_2187,plain,
( inverse(multiply(commutator(X_376,commutator(X_374,X_375)),inverse(X))) != multiply(X,inverse(commutator(X_375,commutator(X_374,X_376))))
| multiply(X,commutator(X_374,commutator(X_375,X_376))) = multiply(X,commutator(X_374,commutator(X_376,X_375))) ),
inference(resolve,[$cnf( $equal(multiply(X,commutator(X_374,commutator(X_375,X_376))),multiply(X,inverse(commutator(X_375,commutator(X_374,X_376))))) )],[refute_0_2175,refute_0_2186]) ).
cnf(refute_0_2188,plain,
multiply(X,commutator(X_374,commutator(X_375,X_376))) = multiply(X,commutator(X_374,commutator(X_376,X_375))),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_376,commutator(X_374,X_375)),inverse(X))),multiply(X,inverse(commutator(X_375,commutator(X_374,X_376))))) )],[refute_0_2160,refute_0_2187]) ).
cnf(refute_0_2189,plain,
( multiply(X,commutator(X_374,commutator(X_375,X_376))) != multiply(X,commutator(X_374,commutator(X_376,X_375)))
| multiply(X,commutator(X_374,commutator(X_376,X_375))) = multiply(X,commutator(X_374,commutator(X_375,X_376))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(X,commutator(X_374,commutator(X_375,X_376))))),bind(Y0,$fot(multiply(X,commutator(X_374,commutator(X_376,X_375)))))]]) ).
cnf(refute_0_2190,plain,
multiply(X,commutator(X_374,commutator(X_376,X_375))) = multiply(X,commutator(X_374,commutator(X_375,X_376))),
inference(resolve,[$cnf( $equal(multiply(X,commutator(X_374,commutator(X_375,X_376))),multiply(X,commutator(X_374,commutator(X_376,X_375)))) )],[refute_0_2188,refute_0_2189]) ).
cnf(refute_0_2191,plain,
multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_467,X_469)))) = multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_469,X_467))))),
inference(subst,[],[refute_0_2190:[bind(X,$fot(commutator(X_468,commutator(X_469,X_467)))),bind(X_374,$fot(X_468)),bind(X_375,$fot(commutator(X_467,X_469))),bind(X_376,$fot(commutator(X_468,commutator(X_469,X_467))))]]) ).
cnf(refute_0_2192,plain,
multiply(inverse(X_102),multiply(X_58,X_102)) = multiply(X_58,commutator(X_58,X_102)),
inference(subst,[],[refute_0_254:[bind(Y,$fot(X_102)),bind(X_27,$fot(X_58))]]) ).
cnf(refute_0_2193,plain,
( multiply(commutator(X_58,X_102),X_58) != multiply(inverse(X_102),multiply(X_58,X_102))
| multiply(inverse(X_102),multiply(X_58,X_102)) != multiply(X_58,commutator(X_58,X_102))
| multiply(commutator(X_58,X_102),X_58) = multiply(X_58,commutator(X_58,X_102)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(commutator(X_58,X_102),X_58),multiply(X_58,commutator(X_58,X_102))) ),[0],$fot(multiply(inverse(X_102),multiply(X_58,X_102)))]]) ).
cnf(refute_0_2194,plain,
( multiply(commutator(X_58,X_102),X_58) != multiply(inverse(X_102),multiply(X_58,X_102))
| multiply(commutator(X_58,X_102),X_58) = multiply(X_58,commutator(X_58,X_102)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_102),multiply(X_58,X_102)),multiply(X_58,commutator(X_58,X_102))) )],[refute_0_2192,refute_0_2193]) ).
cnf(refute_0_2195,plain,
multiply(commutator(X_58,X_102),X_58) = multiply(X_58,commutator(X_58,X_102)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_58,X_102),X_58),multiply(inverse(X_102),multiply(X_58,X_102))) )],[refute_0_1726,refute_0_2194]) ).
cnf(refute_0_2196,plain,
multiply(commutator(X_437,commutator(X_113,Y)),X_437) = multiply(X_437,commutator(X_437,commutator(X_113,Y))),
inference(subst,[],[refute_0_2195:[bind(X_102,$fot(commutator(X_113,Y))),bind(X_58,$fot(X_437))]]) ).
cnf(refute_0_2197,plain,
commutator(commutator(X,Y),inverse(X_113)) = commutator(X,commutator(Y,inverse(X_113))),
inference(subst,[],[associativity_of_commutator:[bind(Z,$fot(inverse(X_113)))]]) ).
cnf(refute_0_2198,plain,
commutator(X_113,commutator(X,Y)) = commutator(commutator(X,Y),inverse(X_113)),
inference(subst,[],[refute_0_572:[bind(X_109,$fot(X_113)),bind(X_110,$fot(commutator(X,Y)))]]) ).
cnf(refute_0_2199,plain,
( commutator(X_113,commutator(X,Y)) != commutator(commutator(X,Y),inverse(X_113))
| commutator(commutator(X,Y),inverse(X_113)) = commutator(X_113,commutator(X,Y)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_113,commutator(X,Y)))),bind(Y0,$fot(commutator(commutator(X,Y),inverse(X_113))))]]) ).
cnf(refute_0_2200,plain,
commutator(commutator(X,Y),inverse(X_113)) = commutator(X_113,commutator(X,Y)),
inference(resolve,[$cnf( $equal(commutator(X_113,commutator(X,Y)),commutator(commutator(X,Y),inverse(X_113))) )],[refute_0_2198,refute_0_2199]) ).
cnf(refute_0_2201,plain,
( commutator(commutator(X,Y),inverse(X_113)) != commutator(X,commutator(Y,inverse(X_113)))
| commutator(commutator(X,Y),inverse(X_113)) != commutator(X_113,commutator(X,Y))
| commutator(X_113,commutator(X,Y)) = commutator(X,commutator(Y,inverse(X_113))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(X,Y),inverse(X_113)),commutator(X,commutator(Y,inverse(X_113)))) ),[0],$fot(commutator(X_113,commutator(X,Y)))]]) ).
cnf(refute_0_2202,plain,
( commutator(commutator(X,Y),inverse(X_113)) != commutator(X,commutator(Y,inverse(X_113)))
| commutator(X_113,commutator(X,Y)) = commutator(X,commutator(Y,inverse(X_113))) ),
inference(resolve,[$cnf( $equal(commutator(commutator(X,Y),inverse(X_113)),commutator(X_113,commutator(X,Y))) )],[refute_0_2200,refute_0_2201]) ).
cnf(refute_0_2203,plain,
commutator(X_113,commutator(X,Y)) = commutator(X,commutator(Y,inverse(X_113))),
inference(resolve,[$cnf( $equal(commutator(commutator(X,Y),inverse(X_113)),commutator(X,commutator(Y,inverse(X_113)))) )],[refute_0_2197,refute_0_2202]) ).
cnf(refute_0_2204,plain,
commutator(Y,inverse(X_113)) = commutator(X_113,Y),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(X_113)),bind(X_110,$fot(Y))]]) ).
cnf(refute_0_2205,plain,
commutator(X,commutator(Y,inverse(X_113))) = commutator(X,commutator(Y,inverse(X_113))),
introduced(tautology,[refl,[$fot(commutator(X,commutator(Y,inverse(X_113))))]]) ).
cnf(refute_0_2206,plain,
( commutator(X,commutator(Y,inverse(X_113))) != commutator(X,commutator(Y,inverse(X_113)))
| commutator(Y,inverse(X_113)) != commutator(X_113,Y)
| commutator(X,commutator(Y,inverse(X_113))) = commutator(X,commutator(X_113,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X,commutator(Y,inverse(X_113))),commutator(X,commutator(Y,inverse(X_113)))) ),[1,1],$fot(commutator(X_113,Y))]]) ).
cnf(refute_0_2207,plain,
( commutator(Y,inverse(X_113)) != commutator(X_113,Y)
| commutator(X,commutator(Y,inverse(X_113))) = commutator(X,commutator(X_113,Y)) ),
inference(resolve,[$cnf( $equal(commutator(X,commutator(Y,inverse(X_113))),commutator(X,commutator(Y,inverse(X_113)))) )],[refute_0_2205,refute_0_2206]) ).
cnf(refute_0_2208,plain,
commutator(X,commutator(Y,inverse(X_113))) = commutator(X,commutator(X_113,Y)),
inference(resolve,[$cnf( $equal(commutator(Y,inverse(X_113)),commutator(X_113,Y)) )],[refute_0_2204,refute_0_2207]) ).
cnf(refute_0_2209,plain,
( commutator(X,commutator(Y,inverse(X_113))) != commutator(X,commutator(X_113,Y))
| commutator(X_113,commutator(X,Y)) != commutator(X,commutator(Y,inverse(X_113)))
| commutator(X_113,commutator(X,Y)) = commutator(X,commutator(X_113,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_113,commutator(X,Y)),commutator(X,commutator(Y,inverse(X_113)))) ),[1],$fot(commutator(X,commutator(X_113,Y)))]]) ).
cnf(refute_0_2210,plain,
( commutator(X_113,commutator(X,Y)) != commutator(X,commutator(Y,inverse(X_113)))
| commutator(X_113,commutator(X,Y)) = commutator(X,commutator(X_113,Y)) ),
inference(resolve,[$cnf( $equal(commutator(X,commutator(Y,inverse(X_113))),commutator(X,commutator(X_113,Y))) )],[refute_0_2208,refute_0_2209]) ).
cnf(refute_0_2211,plain,
commutator(X_113,commutator(X,Y)) = commutator(X,commutator(X_113,Y)),
inference(resolve,[$cnf( $equal(commutator(X_113,commutator(X,Y)),commutator(X,commutator(Y,inverse(X_113)))) )],[refute_0_2203,refute_0_2210]) ).
cnf(refute_0_2212,plain,
commutator(X_113,commutator(X_437,Y)) = commutator(X_437,commutator(X_113,Y)),
inference(subst,[],[refute_0_2211:[bind(X,$fot(X_437))]]) ).
cnf(refute_0_2213,plain,
( commutator(X_113,commutator(X_437,Y)) != commutator(X_437,commutator(X_113,Y))
| commutator(X_437,commutator(X_113,Y)) = commutator(X_113,commutator(X_437,Y)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_113,commutator(X_437,Y)))),bind(Y0,$fot(commutator(X_437,commutator(X_113,Y))))]]) ).
cnf(refute_0_2214,plain,
commutator(X_437,commutator(X_113,Y)) = commutator(X_113,commutator(X_437,Y)),
inference(resolve,[$cnf( $equal(commutator(X_113,commutator(X_437,Y)),commutator(X_437,commutator(X_113,Y))) )],[refute_0_2212,refute_0_2213]) ).
cnf(refute_0_2215,plain,
( multiply(commutator(X_437,commutator(X_113,Y)),X_437) != multiply(X_437,commutator(X_437,commutator(X_113,Y)))
| commutator(X_437,commutator(X_113,Y)) != commutator(X_113,commutator(X_437,Y))
| multiply(commutator(X_437,commutator(X_113,Y)),X_437) = multiply(X_437,commutator(X_113,commutator(X_437,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_437,commutator(X_113,Y)),X_437),multiply(X_437,commutator(X_437,commutator(X_113,Y)))) ),[1,1],$fot(commutator(X_113,commutator(X_437,Y)))]]) ).
cnf(refute_0_2216,plain,
( multiply(commutator(X_437,commutator(X_113,Y)),X_437) != multiply(X_437,commutator(X_437,commutator(X_113,Y)))
| multiply(commutator(X_437,commutator(X_113,Y)),X_437) = multiply(X_437,commutator(X_113,commutator(X_437,Y))) ),
inference(resolve,[$cnf( $equal(commutator(X_437,commutator(X_113,Y)),commutator(X_113,commutator(X_437,Y))) )],[refute_0_2214,refute_0_2215]) ).
cnf(refute_0_2217,plain,
multiply(commutator(X_437,commutator(X_113,Y)),X_437) = multiply(X_437,commutator(X_113,commutator(X_437,Y))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_437,commutator(X_113,Y)),X_437),multiply(X_437,commutator(X_437,commutator(X_113,Y)))) )],[refute_0_2196,refute_0_2216]) ).
cnf(refute_0_2218,plain,
( multiply(commutator(X_437,commutator(X_113,Y)),X_437) != multiply(X_437,commutator(X_113,commutator(X_437,Y)))
| multiply(commutator(X_437,commutator(X_113,Y)),X_437) != multiply(X_437,commutator(X_437,commutator(X_113,Y)))
| multiply(X_437,commutator(X_437,commutator(X_113,Y))) = multiply(X_437,commutator(X_113,commutator(X_437,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_437,commutator(X_113,Y)),X_437),multiply(X_437,commutator(X_113,commutator(X_437,Y)))) ),[0],$fot(multiply(X_437,commutator(X_437,commutator(X_113,Y))))]]) ).
cnf(refute_0_2219,plain,
( multiply(commutator(X_437,commutator(X_113,Y)),X_437) != multiply(X_437,commutator(X_113,commutator(X_437,Y)))
| multiply(X_437,commutator(X_437,commutator(X_113,Y))) = multiply(X_437,commutator(X_113,commutator(X_437,Y))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_437,commutator(X_113,Y)),X_437),multiply(X_437,commutator(X_437,commutator(X_113,Y)))) )],[refute_0_2196,refute_0_2218]) ).
cnf(refute_0_2220,plain,
multiply(X_437,commutator(X_437,commutator(X_113,Y))) = multiply(X_437,commutator(X_113,commutator(X_437,Y))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_437,commutator(X_113,Y)),X_437),multiply(X_437,commutator(X_113,commutator(X_437,Y)))) )],[refute_0_2217,refute_0_2219]) ).
cnf(refute_0_2221,plain,
multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))) = multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_467,X_469)))),
inference(subst,[],[refute_0_2220:[bind(Y,$fot(commutator(X_467,X_469))),bind(X_113,$fot(X_468)),bind(X_437,$fot(commutator(X_468,commutator(X_469,X_467))))]]) ).
cnf(refute_0_2222,plain,
( multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_467,X_469)))) != multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_469,X_467)))))
| multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))) != multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_467,X_469))))
| multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))) = multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_469,X_467))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))),bind(Y0,$fot(multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_467,X_469)))))),bind(Z0,$fot(multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_469,X_467)))))))]]) ).
cnf(refute_0_2223,plain,
( multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_467,X_469)))) != multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_469,X_467)))))
| multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))) = multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_469,X_467))))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))),multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_467,X_469))))) )],[refute_0_2221,refute_0_2222]) ).
cnf(refute_0_2224,plain,
multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))) = multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_469,X_467))))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_467,X_469)))),multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_469,X_467)))))) )],[refute_0_2191,refute_0_2223]) ).
cnf(refute_0_2225,plain,
( multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_469,X_467))))) != commutator(X_468,commutator(X_469,X_467))
| multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))) != multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_469,X_467)))))
| multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))) = commutator(X_468,commutator(X_469,X_467)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))),bind(Y0,$fot(multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_469,X_467))))))),bind(Z0,$fot(commutator(X_468,commutator(X_469,X_467))))]]) ).
cnf(refute_0_2226,plain,
( multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_469,X_467))))) != commutator(X_468,commutator(X_469,X_467))
| multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))) = commutator(X_468,commutator(X_469,X_467)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))),multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_469,X_467)))))) )],[refute_0_2224,refute_0_2225]) ).
cnf(refute_0_2227,plain,
multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))) = commutator(X_468,commutator(X_469,X_467)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_469,X_467))))),commutator(X_468,commutator(X_469,X_467))) )],[refute_0_2144,refute_0_2226]) ).
cnf(refute_0_2228,plain,
multiply(X_10,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))))) = multiply(X_10,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))))),
introduced(tautology,[refl,[$fot(multiply(X_10,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))))))]]) ).
cnf(refute_0_2229,plain,
( multiply(X_10,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))))) != multiply(X_10,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))
| multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))) != commutator(X_468,commutator(X_469,X_467))
| multiply(X_10,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))))) = multiply(X_10,commutator(X_468,commutator(X_469,X_467))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_10,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))))),multiply(X_10,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))) ),[1,1],$fot(commutator(X_468,commutator(X_469,X_467)))]]) ).
cnf(refute_0_2230,plain,
( multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))) != commutator(X_468,commutator(X_469,X_467))
| multiply(X_10,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))))) = multiply(X_10,commutator(X_468,commutator(X_469,X_467))) ),
inference(resolve,[$cnf( $equal(multiply(X_10,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))))),multiply(X_10,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))) )],[refute_0_2228,refute_0_2229]) ).
cnf(refute_0_2231,plain,
multiply(X_10,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))))) = multiply(X_10,commutator(X_468,commutator(X_469,X_467))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))),commutator(X_468,commutator(X_469,X_467))) )],[refute_0_2227,refute_0_2230]) ).
cnf(refute_0_2232,plain,
inverse(multiply(X_10,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))) = inverse(multiply(X_10,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_10,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))))]]) ).
cnf(refute_0_2233,plain,
( multiply(X_10,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))))) != multiply(X_10,commutator(X_468,commutator(X_469,X_467)))
| inverse(multiply(X_10,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))) != inverse(multiply(X_10,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))))))
| inverse(multiply(X_10,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))) = inverse(multiply(X_10,commutator(X_468,commutator(X_469,X_467)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_10,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))),inverse(multiply(X_10,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))))))) ),[1,0],$fot(multiply(X_10,commutator(X_468,commutator(X_469,X_467))))]]) ).
cnf(refute_0_2234,plain,
( multiply(X_10,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))))) != multiply(X_10,commutator(X_468,commutator(X_469,X_467)))
| inverse(multiply(X_10,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))) = inverse(multiply(X_10,commutator(X_468,commutator(X_469,X_467)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))),inverse(multiply(X_10,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))))))) )],[refute_0_2232,refute_0_2233]) ).
cnf(refute_0_2235,plain,
inverse(multiply(X_10,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))) = inverse(multiply(X_10,commutator(X_468,commutator(X_469,X_467)))),
inference(resolve,[$cnf( $equal(multiply(X_10,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))))),multiply(X_10,commutator(X_468,commutator(X_469,X_467)))) )],[refute_0_2231,refute_0_2234]) ).
cnf(refute_0_2236,plain,
( inverse(multiply(X_10,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))) != inverse(multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity)))
| inverse(multiply(X_10,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))) != inverse(multiply(X_10,commutator(X_468,commutator(X_469,X_467))))
| inverse(multiply(X_10,commutator(X_468,commutator(X_469,X_467)))) = inverse(multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_10,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))),inverse(multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity)))) ),[0],$fot(inverse(multiply(X_10,commutator(X_468,commutator(X_469,X_467)))))]]) ).
cnf(refute_0_2237,plain,
( inverse(multiply(X_10,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))) != inverse(multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity)))
| inverse(multiply(X_10,commutator(X_468,commutator(X_469,X_467)))) = inverse(multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))),inverse(multiply(X_10,commutator(X_468,commutator(X_469,X_467))))) )],[refute_0_2235,refute_0_2236]) ).
cnf(refute_0_2238,plain,
multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity) = inverse(commutator(X_468,commutator(X_467,X_469))),
inference(subst,[],[refute_0_100:[bind(X_16,$fot(inverse(commutator(X_468,commutator(X_467,X_469)))))]]) ).
cnf(refute_0_2239,plain,
( multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity) != inverse(commutator(X_468,commutator(X_467,X_469)))
| inverse(commutator(X_468,commutator(X_467,X_469))) != commutator(X_467,commutator(X_469,X_468))
| multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity) = commutator(X_467,commutator(X_469,X_468)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity))),bind(Y0,$fot(inverse(commutator(X_468,commutator(X_467,X_469))))),bind(Z0,$fot(commutator(X_467,commutator(X_469,X_468))))]]) ).
cnf(refute_0_2240,plain,
( inverse(commutator(X_468,commutator(X_467,X_469))) != commutator(X_467,commutator(X_469,X_468))
| multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity) = commutator(X_467,commutator(X_469,X_468)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity),inverse(commutator(X_468,commutator(X_467,X_469)))) )],[refute_0_2238,refute_0_2239]) ).
cnf(refute_0_2241,plain,
multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity) = commutator(X_467,commutator(X_469,X_468)),
inference(resolve,[$cnf( $equal(inverse(commutator(X_468,commutator(X_467,X_469))),commutator(X_467,commutator(X_469,X_468))) )],[refute_0_2044,refute_0_2240]) ).
cnf(refute_0_2242,plain,
multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity)) = multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity)),
introduced(tautology,[refl,[$fot(multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity)))]]) ).
cnf(refute_0_2243,plain,
( multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity)) != multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity))
| multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity) != commutator(X_467,commutator(X_469,X_468))
| multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity)) = multiply(X_10,commutator(X_467,commutator(X_469,X_468))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity)),multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity))) ),[1,1],$fot(commutator(X_467,commutator(X_469,X_468)))]]) ).
cnf(refute_0_2244,plain,
( multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity) != commutator(X_467,commutator(X_469,X_468))
| multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity)) = multiply(X_10,commutator(X_467,commutator(X_469,X_468))) ),
inference(resolve,[$cnf( $equal(multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity)),multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity))) )],[refute_0_2242,refute_0_2243]) ).
cnf(refute_0_2245,plain,
multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity)) = multiply(X_10,commutator(X_467,commutator(X_469,X_468))),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity),commutator(X_467,commutator(X_469,X_468))) )],[refute_0_2241,refute_0_2244]) ).
cnf(refute_0_2246,plain,
inverse(multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity))) = inverse(multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity))))]]) ).
cnf(refute_0_2247,plain,
( multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity)) != multiply(X_10,commutator(X_467,commutator(X_469,X_468)))
| inverse(multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity))) != inverse(multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity)))
| inverse(multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity))) = inverse(multiply(X_10,commutator(X_467,commutator(X_469,X_468)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity))),inverse(multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity)))) ),[1,0],$fot(multiply(X_10,commutator(X_467,commutator(X_469,X_468))))]]) ).
cnf(refute_0_2248,plain,
( multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity)) != multiply(X_10,commutator(X_467,commutator(X_469,X_468)))
| inverse(multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity))) = inverse(multiply(X_10,commutator(X_467,commutator(X_469,X_468)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity))),inverse(multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity)))) )],[refute_0_2246,refute_0_2247]) ).
cnf(refute_0_2249,plain,
inverse(multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity))) = inverse(multiply(X_10,commutator(X_467,commutator(X_469,X_468)))),
inference(resolve,[$cnf( $equal(multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity)),multiply(X_10,commutator(X_467,commutator(X_469,X_468)))) )],[refute_0_2245,refute_0_2248]) ).
cnf(refute_0_2250,plain,
( inverse(multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity))) != inverse(multiply(X_10,commutator(X_467,commutator(X_469,X_468))))
| inverse(multiply(X_10,commutator(X_468,commutator(X_469,X_467)))) != inverse(multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity)))
| inverse(multiply(X_10,commutator(X_468,commutator(X_469,X_467)))) = inverse(multiply(X_10,commutator(X_467,commutator(X_469,X_468)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_10,commutator(X_468,commutator(X_469,X_467)))),inverse(multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity)))) ),[1],$fot(inverse(multiply(X_10,commutator(X_467,commutator(X_469,X_468)))))]]) ).
cnf(refute_0_2251,plain,
( inverse(multiply(X_10,commutator(X_468,commutator(X_469,X_467)))) != inverse(multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity)))
| inverse(multiply(X_10,commutator(X_468,commutator(X_469,X_467)))) = inverse(multiply(X_10,commutator(X_467,commutator(X_469,X_468)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity))),inverse(multiply(X_10,commutator(X_467,commutator(X_469,X_468))))) )],[refute_0_2249,refute_0_2250]) ).
cnf(refute_0_2252,plain,
( inverse(multiply(X_10,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))) != inverse(multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity)))
| inverse(multiply(X_10,commutator(X_468,commutator(X_469,X_467)))) = inverse(multiply(X_10,commutator(X_467,commutator(X_469,X_468)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,commutator(X_468,commutator(X_469,X_467)))),inverse(multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity)))) )],[refute_0_2237,refute_0_2251]) ).
cnf(refute_0_2253,plain,
inverse(multiply(X_10,commutator(X_468,commutator(X_469,X_467)))) = inverse(multiply(X_10,commutator(X_467,commutator(X_469,X_468)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,multiply(commutator(X_468,commutator(X_469,X_467)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))),inverse(multiply(X_10,multiply(inverse(commutator(X_468,commutator(X_467,X_469))),identity)))) )],[refute_0_2135,refute_0_2252]) ).
cnf(refute_0_2254,plain,
( inverse(multiply(X_10,commutator(X_468,commutator(X_469,X_467)))) != inverse(multiply(X_10,commutator(X_467,commutator(X_469,X_468))))
| inverse(multiply(X_10,commutator(X_467,commutator(X_469,X_468)))) = inverse(multiply(X_10,commutator(X_468,commutator(X_469,X_467)))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(inverse(multiply(X_10,commutator(X_468,commutator(X_469,X_467)))))),bind(Y0,$fot(inverse(multiply(X_10,commutator(X_467,commutator(X_469,X_468))))))]]) ).
cnf(refute_0_2255,plain,
inverse(multiply(X_10,commutator(X_467,commutator(X_469,X_468)))) = inverse(multiply(X_10,commutator(X_468,commutator(X_469,X_467)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,commutator(X_468,commutator(X_469,X_467)))),inverse(multiply(X_10,commutator(X_467,commutator(X_469,X_468))))) )],[refute_0_2253,refute_0_2254]) ).
cnf(refute_0_2256,plain,
inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))))) = inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467)))))),
inference(subst,[],[refute_0_2255:[bind(X_10,$fot(commutator(X_468,commutator(X_467,X_469)))),bind(X_467,$fot(commutator(X_468,commutator(X_469,X_467)))),bind(X_468,$fot(commutator(X_467,X_469))),bind(X_469,$fot(X_468))]]) ).
cnf(refute_0_2257,plain,
( inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467)))))) != commutator(X_467,commutator(X_469,X_468))
| inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))))) != inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467))))))
| inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))))) = commutator(X_467,commutator(X_469,X_468)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))))))),bind(Y0,$fot(inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467)))))))),bind(Z0,$fot(commutator(X_467,commutator(X_469,X_468))))]]) ).
cnf(refute_0_2258,plain,
( inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467)))))) != commutator(X_467,commutator(X_469,X_468))
| inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))))) = commutator(X_467,commutator(X_469,X_468)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))))),inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467))))))) )],[refute_0_2256,refute_0_2257]) ).
cnf(refute_0_2259,plain,
inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))))) = commutator(X_467,commutator(X_469,X_468)),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_467,X_469),commutator(X_468,commutator(X_468,commutator(X_469,X_467)))))),commutator(X_467,commutator(X_469,X_468))) )],[refute_0_2110,refute_0_2258]) ).
cnf(refute_0_2260,plain,
( commutator(X_467,commutator(X_468,X_469)) != inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))
| inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))))) != commutator(X_467,commutator(X_469,X_468))
| commutator(X_467,commutator(X_468,X_469)) = commutator(X_467,commutator(X_469,X_468)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(X_467,commutator(X_468,X_469)),commutator(X_467,commutator(X_469,X_468))) ),[0],$fot(inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))))))]]) ).
cnf(refute_0_2261,plain,
( commutator(X_467,commutator(X_468,X_469)) != inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))
| commutator(X_467,commutator(X_468,X_469)) = commutator(X_467,commutator(X_469,X_468)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469))))),commutator(X_467,commutator(X_469,X_468))) )],[refute_0_2259,refute_0_2260]) ).
cnf(refute_0_2262,plain,
( multiply(commutator(X_468,commutator(X_469,X_467)),inverse(identity)) != inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))
| commutator(X_467,commutator(X_468,X_469)) = commutator(X_467,commutator(X_469,X_468)) ),
inference(resolve,[$cnf( $equal(commutator(X_467,commutator(X_468,X_469)),inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))) )],[refute_0_2039,refute_0_2261]) ).
cnf(refute_0_2263,plain,
commutator(X_467,commutator(X_468,X_469)) = commutator(X_467,commutator(X_469,X_468)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_468,commutator(X_469,X_467)),inverse(identity)),inverse(multiply(commutator(X_468,commutator(X_467,X_469)),commutator(commutator(X_468,commutator(X_469,X_467)),commutator(X_468,commutator(X_467,X_469)))))) )],[refute_0_2016,refute_0_2262]) ).
cnf(refute_0_2264,plain,
( commutator(X_467,commutator(X_468,X_469)) != commutator(X_467,commutator(X_469,X_468))
| commutator(X_467,commutator(X_469,X_468)) = commutator(X_467,commutator(X_468,X_469)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_467,commutator(X_468,X_469)))),bind(Y0,$fot(commutator(X_467,commutator(X_469,X_468))))]]) ).
cnf(refute_0_2265,plain,
commutator(X_467,commutator(X_469,X_468)) = commutator(X_467,commutator(X_468,X_469)),
inference(resolve,[$cnf( $equal(commutator(X_467,commutator(X_468,X_469)),commutator(X_467,commutator(X_469,X_468))) )],[refute_0_2263,refute_0_2264]) ).
cnf(refute_0_2266,plain,
commutator(X_471,commutator(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181))) = commutator(X_471,commutator(multiply(X_180,X_181),multiply(X_181,commutator(X_180,X_181)))),
inference(subst,[],[refute_0_2265:[bind(X_467,$fot(X_471)),bind(X_468,$fot(multiply(X_180,X_181))),bind(X_469,$fot(multiply(X_181,commutator(X_180,X_181))))]]) ).
cnf(refute_0_2267,plain,
( commutator(Y,commutator(X,X_160)) != multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(Y,multiply(X,X_160)))
| multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(Y,multiply(X,X_160))) = commutator(Y,commutator(X,X_160)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(Y,commutator(X,X_160)))),bind(Y0,$fot(multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(Y,multiply(X,X_160)))))]]) ).
cnf(refute_0_2268,plain,
multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(Y,multiply(X,X_160))) = commutator(Y,commutator(X,X_160)),
inference(resolve,[$cnf( $equal(commutator(Y,commutator(X,X_160)),multiply(inverse(multiply(X,multiply(Y,multiply(X_160,commutator(Y,X))))),multiply(Y,multiply(X,X_160)))) )],[refute_0_766,refute_0_2267]) ).
cnf(refute_0_2269,plain,
multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_471,multiply(multiply(X_180,X_181),commutator(X_471,multiply(X_181,commutator(X_180,X_181))))))),multiply(X_471,multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181)))) = commutator(X_471,commutator(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181))),
inference(subst,[],[refute_0_2268:[bind(X,$fot(multiply(X_181,commutator(X_180,X_181)))),bind(Y,$fot(X_471)),bind(X_160,$fot(multiply(X_180,X_181)))]]) ).
cnf(refute_0_2270,plain,
( multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_471,multiply(multiply(X_180,X_181),commutator(X_471,multiply(X_181,commutator(X_180,X_181))))))),multiply(X_471,multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181)))) != commutator(X_471,commutator(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181)))
| commutator(X_471,commutator(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181))) != commutator(X_471,commutator(multiply(X_180,X_181),multiply(X_181,commutator(X_180,X_181))))
| multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_471,multiply(multiply(X_180,X_181),commutator(X_471,multiply(X_181,commutator(X_180,X_181))))))),multiply(X_471,multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181)))) = commutator(X_471,commutator(multiply(X_180,X_181),multiply(X_181,commutator(X_180,X_181)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_471,multiply(multiply(X_180,X_181),commutator(X_471,multiply(X_181,commutator(X_180,X_181))))))),multiply(X_471,multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181)))))),bind(Y0,$fot(commutator(X_471,commutator(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181))))),bind(Z0,$fot(commutator(X_471,commutator(multiply(X_180,X_181),multiply(X_181,commutator(X_180,X_181))))))]]) ).
cnf(refute_0_2271,plain,
( commutator(X_471,commutator(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181))) != commutator(X_471,commutator(multiply(X_180,X_181),multiply(X_181,commutator(X_180,X_181))))
| multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_471,multiply(multiply(X_180,X_181),commutator(X_471,multiply(X_181,commutator(X_180,X_181))))))),multiply(X_471,multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181)))) = commutator(X_471,commutator(multiply(X_180,X_181),multiply(X_181,commutator(X_180,X_181)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_471,multiply(multiply(X_180,X_181),commutator(X_471,multiply(X_181,commutator(X_180,X_181))))))),multiply(X_471,multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181)))),commutator(X_471,commutator(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181)))) )],[refute_0_2269,refute_0_2270]) ).
cnf(refute_0_2272,plain,
multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_471,multiply(multiply(X_180,X_181),commutator(X_471,multiply(X_181,commutator(X_180,X_181))))))),multiply(X_471,multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181)))) = commutator(X_471,commutator(multiply(X_180,X_181),multiply(X_181,commutator(X_180,X_181)))),
inference(resolve,[$cnf( $equal(commutator(X_471,commutator(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181))),commutator(X_471,commutator(multiply(X_180,X_181),multiply(X_181,commutator(X_180,X_181))))) )],[refute_0_2266,refute_0_2271]) ).
cnf(refute_0_2273,plain,
( multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_471,multiply(multiply(X_180,X_181),commutator(X_471,multiply(X_181,commutator(X_180,X_181))))))),multiply(X_471,multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181)))) != commutator(X_471,commutator(multiply(X_180,X_181),multiply(X_181,commutator(X_180,X_181))))
| commutator(X_471,commutator(multiply(X_180,X_181),multiply(X_181,commutator(X_180,X_181)))) != commutator(X_471,commutator(X_180,X_181))
| multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_471,multiply(multiply(X_180,X_181),commutator(X_471,multiply(X_181,commutator(X_180,X_181))))))),multiply(X_471,multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181)))) = commutator(X_471,commutator(X_180,X_181)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_471,multiply(multiply(X_180,X_181),commutator(X_471,multiply(X_181,commutator(X_180,X_181))))))),multiply(X_471,multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181)))))),bind(Y0,$fot(commutator(X_471,commutator(multiply(X_180,X_181),multiply(X_181,commutator(X_180,X_181)))))),bind(Z0,$fot(commutator(X_471,commutator(X_180,X_181))))]]) ).
cnf(refute_0_2274,plain,
( commutator(X_471,commutator(multiply(X_180,X_181),multiply(X_181,commutator(X_180,X_181)))) != commutator(X_471,commutator(X_180,X_181))
| multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_471,multiply(multiply(X_180,X_181),commutator(X_471,multiply(X_181,commutator(X_180,X_181))))))),multiply(X_471,multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181)))) = commutator(X_471,commutator(X_180,X_181)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_471,multiply(multiply(X_180,X_181),commutator(X_471,multiply(X_181,commutator(X_180,X_181))))))),multiply(X_471,multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181)))),commutator(X_471,commutator(multiply(X_180,X_181),multiply(X_181,commutator(X_180,X_181))))) )],[refute_0_2272,refute_0_2273]) ).
cnf(refute_0_2275,plain,
multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_471,multiply(multiply(X_180,X_181),commutator(X_471,multiply(X_181,commutator(X_180,X_181))))))),multiply(X_471,multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181)))) = commutator(X_471,commutator(X_180,X_181)),
inference(resolve,[$cnf( $equal(commutator(X_471,commutator(multiply(X_180,X_181),multiply(X_181,commutator(X_180,X_181)))),commutator(X_471,commutator(X_180,X_181))) )],[refute_0_1817,refute_0_2274]) ).
cnf(refute_0_2276,plain,
( multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_471,multiply(multiply(X_180,X_181),commutator(X_471,multiply(X_181,commutator(X_180,X_181))))))),multiply(X_471,multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181)))) != commutator(X_471,commutator(X_180,X_181))
| commutator(X_471,commutator(X_181,X_180)) != multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_471,multiply(multiply(X_180,X_181),commutator(X_471,multiply(X_181,commutator(X_180,X_181))))))),multiply(X_471,multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181))))
| commutator(X_471,commutator(X_181,X_180)) = commutator(X_471,commutator(X_180,X_181)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_471,commutator(X_181,X_180)),multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_471,multiply(multiply(X_180,X_181),commutator(X_471,multiply(X_181,commutator(X_180,X_181))))))),multiply(X_471,multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181))))) ),[1],$fot(commutator(X_471,commutator(X_180,X_181)))]]) ).
cnf(refute_0_2277,plain,
( commutator(X_471,commutator(X_181,X_180)) != multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_471,multiply(multiply(X_180,X_181),commutator(X_471,multiply(X_181,commutator(X_180,X_181))))))),multiply(X_471,multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181))))
| commutator(X_471,commutator(X_181,X_180)) = commutator(X_471,commutator(X_180,X_181)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_471,multiply(multiply(X_180,X_181),commutator(X_471,multiply(X_181,commutator(X_180,X_181))))))),multiply(X_471,multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181)))),commutator(X_471,commutator(X_180,X_181))) )],[refute_0_2275,refute_0_2276]) ).
cnf(refute_0_2278,plain,
commutator(X_471,commutator(X_181,X_180)) = commutator(X_471,commutator(X_180,X_181)),
inference(resolve,[$cnf( $equal(commutator(X_471,commutator(X_181,X_180)),multiply(inverse(multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_471,multiply(multiply(X_180,X_181),commutator(X_471,multiply(X_181,commutator(X_180,X_181))))))),multiply(X_471,multiply(multiply(X_181,commutator(X_180,X_181)),multiply(X_180,X_181))))) )],[refute_0_1521,refute_0_2277]) ).
cnf(refute_0_2279,plain,
( commutator(X_471,commutator(X_181,X_180)) != commutator(X_471,commutator(X_180,X_181))
| commutator(X_471,commutator(X_180,X_181)) = commutator(X_471,commutator(X_181,X_180)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_471,commutator(X_181,X_180)))),bind(Y0,$fot(commutator(X_471,commutator(X_180,X_181))))]]) ).
cnf(refute_0_2280,plain,
commutator(X_471,commutator(X_180,X_181)) = commutator(X_471,commutator(X_181,X_180)),
inference(resolve,[$cnf( $equal(commutator(X_471,commutator(X_181,X_180)),commutator(X_471,commutator(X_180,X_181))) )],[refute_0_2278,refute_0_2279]) ).
cnf(refute_0_2281,plain,
commutator(X_471,commutator(multiply(X_27,commutator(multiply(X_471,X_471),X_470)),X_470)) = commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),
inference(subst,[],[refute_0_2280:[bind(X_180,$fot(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),bind(X_181,$fot(X_470))]]) ).
cnf(refute_0_2282,plain,
multiply(X_90,multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90))) = multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),commutator(X_90,multiply(commutator(X_90,X_325),commutator(X_90,X_325)))),
inference(subst,[],[refute_0_933:[bind(X_10,$fot(multiply(commutator(X_90,X_325),commutator(X_90,X_325))))]]) ).
cnf(refute_0_2283,plain,
identity = multiply(commutator(inverse(inverse(multiply(X_104,X_10))),multiply(X_10,X_104)),commutator(inverse(multiply(X_104,X_10)),multiply(X_10,X_104))),
inference(subst,[],[refute_0_546:[bind(X_10,$fot(inverse(multiply(X_104,X_10)))),bind(X_11,$fot(multiply(X_10,X_104)))]]) ).
cnf(refute_0_2284,plain,
identity = commutator(inverse(multiply(X_104,X_10)),multiply(inverse(multiply(inverse(multiply(X_104,X_10)),X_104)),X_104)),
inference(subst,[],[refute_0_474:[bind(X_10,$fot(inverse(multiply(X_104,X_10)))),bind(X_102,$fot(X_104))]]) ).
cnf(refute_0_2285,plain,
multiply(inverse(multiply(X_104,X_10)),X_104) = inverse(X_10),
inference(subst,[],[refute_0_208:[bind(X_58,$fot(X_104))]]) ).
cnf(refute_0_2286,plain,
( multiply(inverse(multiply(X_104,X_10)),X_104) != inverse(X_10)
| identity != commutator(inverse(multiply(X_104,X_10)),multiply(inverse(multiply(inverse(multiply(X_104,X_10)),X_104)),X_104))
| identity = commutator(inverse(multiply(X_104,X_10)),multiply(inverse(inverse(X_10)),X_104)) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(inverse(multiply(X_104,X_10)),multiply(inverse(multiply(inverse(multiply(X_104,X_10)),X_104)),X_104))) ),[1,1,0,0],$fot(inverse(X_10))]]) ).
cnf(refute_0_2287,plain,
( identity != commutator(inverse(multiply(X_104,X_10)),multiply(inverse(multiply(inverse(multiply(X_104,X_10)),X_104)),X_104))
| identity = commutator(inverse(multiply(X_104,X_10)),multiply(inverse(inverse(X_10)),X_104)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_104,X_10)),X_104),inverse(X_10)) )],[refute_0_2285,refute_0_2286]) ).
cnf(refute_0_2288,plain,
identity = commutator(inverse(multiply(X_104,X_10)),multiply(inverse(inverse(X_10)),X_104)),
inference(resolve,[$cnf( $equal(identity,commutator(inverse(multiply(X_104,X_10)),multiply(inverse(multiply(inverse(multiply(X_104,X_10)),X_104)),X_104))) )],[refute_0_2284,refute_0_2287]) ).
cnf(refute_0_2289,plain,
multiply(inverse(inverse(X_10)),X_104) = multiply(inverse(inverse(X_10)),X_104),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_10)),X_104))]]) ).
cnf(refute_0_2290,plain,
( multiply(inverse(inverse(X_10)),X_104) != multiply(inverse(inverse(X_10)),X_104)
| inverse(inverse(X_10)) != X_10
| multiply(inverse(inverse(X_10)),X_104) = multiply(X_10,X_104) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_10)),X_104),multiply(inverse(inverse(X_10)),X_104)) ),[1,0],$fot(X_10)]]) ).
cnf(refute_0_2291,plain,
( inverse(inverse(X_10)) != X_10
| multiply(inverse(inverse(X_10)),X_104) = multiply(X_10,X_104) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_10)),X_104),multiply(inverse(inverse(X_10)),X_104)) )],[refute_0_2289,refute_0_2290]) ).
cnf(refute_0_2292,plain,
multiply(inverse(inverse(X_10)),X_104) = multiply(X_10,X_104),
inference(resolve,[$cnf( $equal(inverse(inverse(X_10)),X_10) )],[refute_0_441,refute_0_2291]) ).
cnf(refute_0_2293,plain,
commutator(inverse(multiply(X_104,X_10)),multiply(inverse(inverse(X_10)),X_104)) = commutator(inverse(multiply(X_104,X_10)),multiply(inverse(inverse(X_10)),X_104)),
introduced(tautology,[refl,[$fot(commutator(inverse(multiply(X_104,X_10)),multiply(inverse(inverse(X_10)),X_104)))]]) ).
cnf(refute_0_2294,plain,
( multiply(inverse(inverse(X_10)),X_104) != multiply(X_10,X_104)
| commutator(inverse(multiply(X_104,X_10)),multiply(inverse(inverse(X_10)),X_104)) != commutator(inverse(multiply(X_104,X_10)),multiply(inverse(inverse(X_10)),X_104))
| commutator(inverse(multiply(X_104,X_10)),multiply(inverse(inverse(X_10)),X_104)) = commutator(inverse(multiply(X_104,X_10)),multiply(X_10,X_104)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(multiply(X_104,X_10)),multiply(inverse(inverse(X_10)),X_104)),commutator(inverse(multiply(X_104,X_10)),multiply(inverse(inverse(X_10)),X_104))) ),[1,1],$fot(multiply(X_10,X_104))]]) ).
cnf(refute_0_2295,plain,
( multiply(inverse(inverse(X_10)),X_104) != multiply(X_10,X_104)
| commutator(inverse(multiply(X_104,X_10)),multiply(inverse(inverse(X_10)),X_104)) = commutator(inverse(multiply(X_104,X_10)),multiply(X_10,X_104)) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_104,X_10)),multiply(inverse(inverse(X_10)),X_104)),commutator(inverse(multiply(X_104,X_10)),multiply(inverse(inverse(X_10)),X_104))) )],[refute_0_2293,refute_0_2294]) ).
cnf(refute_0_2296,plain,
commutator(inverse(multiply(X_104,X_10)),multiply(inverse(inverse(X_10)),X_104)) = commutator(inverse(multiply(X_104,X_10)),multiply(X_10,X_104)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_10)),X_104),multiply(X_10,X_104)) )],[refute_0_2292,refute_0_2295]) ).
cnf(refute_0_2297,plain,
( commutator(inverse(multiply(X_104,X_10)),multiply(inverse(inverse(X_10)),X_104)) != commutator(inverse(multiply(X_104,X_10)),multiply(X_10,X_104))
| identity != commutator(inverse(multiply(X_104,X_10)),multiply(inverse(inverse(X_10)),X_104))
| identity = commutator(inverse(multiply(X_104,X_10)),multiply(X_10,X_104)) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(inverse(multiply(X_104,X_10)),multiply(inverse(inverse(X_10)),X_104))) ),[1],$fot(commutator(inverse(multiply(X_104,X_10)),multiply(X_10,X_104)))]]) ).
cnf(refute_0_2298,plain,
( identity != commutator(inverse(multiply(X_104,X_10)),multiply(inverse(inverse(X_10)),X_104))
| identity = commutator(inverse(multiply(X_104,X_10)),multiply(X_10,X_104)) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_104,X_10)),multiply(inverse(inverse(X_10)),X_104)),commutator(inverse(multiply(X_104,X_10)),multiply(X_10,X_104))) )],[refute_0_2296,refute_0_2297]) ).
cnf(refute_0_2299,plain,
identity = commutator(inverse(multiply(X_104,X_10)),multiply(X_10,X_104)),
inference(resolve,[$cnf( $equal(identity,commutator(inverse(multiply(X_104,X_10)),multiply(inverse(inverse(X_10)),X_104))) )],[refute_0_2288,refute_0_2298]) ).
cnf(refute_0_2300,plain,
( identity != commutator(inverse(multiply(X_104,X_10)),multiply(X_10,X_104))
| commutator(inverse(multiply(X_104,X_10)),multiply(X_10,X_104)) = identity ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(identity)),bind(Y0,$fot(commutator(inverse(multiply(X_104,X_10)),multiply(X_10,X_104))))]]) ).
cnf(refute_0_2301,plain,
commutator(inverse(multiply(X_104,X_10)),multiply(X_10,X_104)) = identity,
inference(resolve,[$cnf( $equal(identity,commutator(inverse(multiply(X_104,X_10)),multiply(X_10,X_104))) )],[refute_0_2299,refute_0_2300]) ).
cnf(refute_0_2302,plain,
( commutator(inverse(multiply(X_104,X_10)),multiply(X_10,X_104)) != identity
| identity != multiply(commutator(inverse(inverse(multiply(X_104,X_10))),multiply(X_10,X_104)),commutator(inverse(multiply(X_104,X_10)),multiply(X_10,X_104)))
| identity = multiply(commutator(inverse(inverse(multiply(X_104,X_10))),multiply(X_10,X_104)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(identity,multiply(commutator(inverse(inverse(multiply(X_104,X_10))),multiply(X_10,X_104)),commutator(inverse(multiply(X_104,X_10)),multiply(X_10,X_104)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_2303,plain,
( identity != multiply(commutator(inverse(inverse(multiply(X_104,X_10))),multiply(X_10,X_104)),commutator(inverse(multiply(X_104,X_10)),multiply(X_10,X_104)))
| identity = multiply(commutator(inverse(inverse(multiply(X_104,X_10))),multiply(X_10,X_104)),identity) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_104,X_10)),multiply(X_10,X_104)),identity) )],[refute_0_2301,refute_0_2302]) ).
cnf(refute_0_2304,plain,
identity = multiply(commutator(inverse(inverse(multiply(X_104,X_10))),multiply(X_10,X_104)),identity),
inference(resolve,[$cnf( $equal(identity,multiply(commutator(inverse(inverse(multiply(X_104,X_10))),multiply(X_10,X_104)),commutator(inverse(multiply(X_104,X_10)),multiply(X_10,X_104)))) )],[refute_0_2283,refute_0_2303]) ).
cnf(refute_0_2305,plain,
commutator(multiply(X_10,X_104),inverse(multiply(X_104,X_10))) = commutator(multiply(X_104,X_10),multiply(X_10,X_104)),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(multiply(X_104,X_10))),bind(X_110,$fot(multiply(X_10,X_104)))]]) ).
cnf(refute_0_2306,plain,
commutator(inverse(inverse(multiply(X_104,X_10))),multiply(X_10,X_104)) = commutator(multiply(X_10,X_104),inverse(multiply(X_104,X_10))),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(inverse(multiply(X_104,X_10)))),bind(X_110,$fot(multiply(X_10,X_104)))]]) ).
cnf(refute_0_2307,plain,
( commutator(multiply(X_10,X_104),inverse(multiply(X_104,X_10))) != commutator(multiply(X_104,X_10),multiply(X_10,X_104))
| commutator(inverse(inverse(multiply(X_104,X_10))),multiply(X_10,X_104)) != commutator(multiply(X_10,X_104),inverse(multiply(X_104,X_10)))
| commutator(inverse(inverse(multiply(X_104,X_10))),multiply(X_10,X_104)) = commutator(multiply(X_104,X_10),multiply(X_10,X_104)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(inverse(inverse(multiply(X_104,X_10))),multiply(X_10,X_104)))),bind(Y0,$fot(commutator(multiply(X_10,X_104),inverse(multiply(X_104,X_10))))),bind(Z0,$fot(commutator(multiply(X_104,X_10),multiply(X_10,X_104))))]]) ).
cnf(refute_0_2308,plain,
( commutator(multiply(X_10,X_104),inverse(multiply(X_104,X_10))) != commutator(multiply(X_104,X_10),multiply(X_10,X_104))
| commutator(inverse(inverse(multiply(X_104,X_10))),multiply(X_10,X_104)) = commutator(multiply(X_104,X_10),multiply(X_10,X_104)) ),
inference(resolve,[$cnf( $equal(commutator(inverse(inverse(multiply(X_104,X_10))),multiply(X_10,X_104)),commutator(multiply(X_10,X_104),inverse(multiply(X_104,X_10)))) )],[refute_0_2306,refute_0_2307]) ).
cnf(refute_0_2309,plain,
commutator(inverse(inverse(multiply(X_104,X_10))),multiply(X_10,X_104)) = commutator(multiply(X_104,X_10),multiply(X_10,X_104)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_10,X_104),inverse(multiply(X_104,X_10))),commutator(multiply(X_104,X_10),multiply(X_10,X_104))) )],[refute_0_2305,refute_0_2308]) ).
cnf(refute_0_2310,plain,
multiply(commutator(inverse(inverse(multiply(X_104,X_10))),multiply(X_10,X_104)),identity) = commutator(inverse(inverse(multiply(X_104,X_10))),multiply(X_10,X_104)),
inference(subst,[],[refute_0_100:[bind(X_16,$fot(commutator(inverse(inverse(multiply(X_104,X_10))),multiply(X_10,X_104))))]]) ).
cnf(refute_0_2311,plain,
( multiply(commutator(inverse(inverse(multiply(X_104,X_10))),multiply(X_10,X_104)),identity) != commutator(inverse(inverse(multiply(X_104,X_10))),multiply(X_10,X_104))
| commutator(inverse(inverse(multiply(X_104,X_10))),multiply(X_10,X_104)) != commutator(multiply(X_104,X_10),multiply(X_10,X_104))
| multiply(commutator(inverse(inverse(multiply(X_104,X_10))),multiply(X_10,X_104)),identity) = commutator(multiply(X_104,X_10),multiply(X_10,X_104)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(inverse(inverse(multiply(X_104,X_10))),multiply(X_10,X_104)),identity))),bind(Y0,$fot(commutator(inverse(inverse(multiply(X_104,X_10))),multiply(X_10,X_104)))),bind(Z0,$fot(commutator(multiply(X_104,X_10),multiply(X_10,X_104))))]]) ).
cnf(refute_0_2312,plain,
( commutator(inverse(inverse(multiply(X_104,X_10))),multiply(X_10,X_104)) != commutator(multiply(X_104,X_10),multiply(X_10,X_104))
| multiply(commutator(inverse(inverse(multiply(X_104,X_10))),multiply(X_10,X_104)),identity) = commutator(multiply(X_104,X_10),multiply(X_10,X_104)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(inverse(multiply(X_104,X_10))),multiply(X_10,X_104)),identity),commutator(inverse(inverse(multiply(X_104,X_10))),multiply(X_10,X_104))) )],[refute_0_2310,refute_0_2311]) ).
cnf(refute_0_2313,plain,
multiply(commutator(inverse(inverse(multiply(X_104,X_10))),multiply(X_10,X_104)),identity) = commutator(multiply(X_104,X_10),multiply(X_10,X_104)),
inference(resolve,[$cnf( $equal(commutator(inverse(inverse(multiply(X_104,X_10))),multiply(X_10,X_104)),commutator(multiply(X_104,X_10),multiply(X_10,X_104))) )],[refute_0_2309,refute_0_2312]) ).
cnf(refute_0_2314,plain,
( multiply(commutator(inverse(inverse(multiply(X_104,X_10))),multiply(X_10,X_104)),identity) != commutator(multiply(X_104,X_10),multiply(X_10,X_104))
| identity != multiply(commutator(inverse(inverse(multiply(X_104,X_10))),multiply(X_10,X_104)),identity)
| identity = commutator(multiply(X_104,X_10),multiply(X_10,X_104)) ),
introduced(tautology,[equality,[$cnf( $equal(identity,multiply(commutator(inverse(inverse(multiply(X_104,X_10))),multiply(X_10,X_104)),identity)) ),[1],$fot(commutator(multiply(X_104,X_10),multiply(X_10,X_104)))]]) ).
cnf(refute_0_2315,plain,
( identity != multiply(commutator(inverse(inverse(multiply(X_104,X_10))),multiply(X_10,X_104)),identity)
| identity = commutator(multiply(X_104,X_10),multiply(X_10,X_104)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(inverse(multiply(X_104,X_10))),multiply(X_10,X_104)),identity),commutator(multiply(X_104,X_10),multiply(X_10,X_104))) )],[refute_0_2313,refute_0_2314]) ).
cnf(refute_0_2316,plain,
identity = commutator(multiply(X_104,X_10),multiply(X_10,X_104)),
inference(resolve,[$cnf( $equal(identity,multiply(commutator(inverse(inverse(multiply(X_104,X_10))),multiply(X_10,X_104)),identity)) )],[refute_0_2304,refute_0_2315]) ).
cnf(refute_0_2317,plain,
identity = commutator(multiply(multiply(X_255,multiply(X_256,X_257)),inverse(multiply(X_256,X_255))),multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,X_257)))),
inference(subst,[],[refute_0_2316:[bind(X_10,$fot(inverse(multiply(X_256,X_255)))),bind(X_104,$fot(multiply(X_255,multiply(X_256,X_257))))]]) ).
cnf(refute_0_2318,plain,
multiply(commutator(X_255,X_256),X_257) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,X_257))),
inference(subst,[],[refute_0_246:[bind(X,$fot(X_255)),bind(Y,$fot(X_256)),bind(X_11,$fot(X_257))]]) ).
cnf(refute_0_2319,plain,
( multiply(commutator(X_255,X_256),X_257) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,X_257)))
| multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,X_257))) = multiply(commutator(X_255,X_256),X_257) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(commutator(X_255,X_256),X_257))),bind(Y0,$fot(multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,X_257)))))]]) ).
cnf(refute_0_2320,plain,
multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,X_257))) = multiply(commutator(X_255,X_256),X_257),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,X_256),X_257),multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,X_257)))) )],[refute_0_2318,refute_0_2319]) ).
cnf(refute_0_2321,plain,
( multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,X_257))) != multiply(commutator(X_255,X_256),X_257)
| identity != commutator(multiply(multiply(X_255,multiply(X_256,X_257)),inverse(multiply(X_256,X_255))),multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,X_257))))
| identity = commutator(multiply(multiply(X_255,multiply(X_256,X_257)),inverse(multiply(X_256,X_255))),multiply(commutator(X_255,X_256),X_257)) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(multiply(multiply(X_255,multiply(X_256,X_257)),inverse(multiply(X_256,X_255))),multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,X_257))))) ),[1,1],$fot(multiply(commutator(X_255,X_256),X_257))]]) ).
cnf(refute_0_2322,plain,
( identity != commutator(multiply(multiply(X_255,multiply(X_256,X_257)),inverse(multiply(X_256,X_255))),multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,X_257))))
| identity = commutator(multiply(multiply(X_255,multiply(X_256,X_257)),inverse(multiply(X_256,X_255))),multiply(commutator(X_255,X_256),X_257)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,X_257))),multiply(commutator(X_255,X_256),X_257)) )],[refute_0_2320,refute_0_2321]) ).
cnf(refute_0_2323,plain,
identity = commutator(multiply(multiply(X_255,multiply(X_256,X_257)),inverse(multiply(X_256,X_255))),multiply(commutator(X_255,X_256),X_257)),
inference(resolve,[$cnf( $equal(identity,commutator(multiply(multiply(X_255,multiply(X_256,X_257)),inverse(multiply(X_256,X_255))),multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,X_257))))) )],[refute_0_2317,refute_0_2322]) ).
cnf(refute_0_2324,plain,
multiply(multiply(X_256,X_255),inverse(multiply(X_255,multiply(X_256,X_257)))) = multiply(X_256,multiply(X_255,inverse(multiply(X_255,multiply(X_256,X_257))))),
inference(subst,[],[associativity:[bind(X,$fot(X_256)),bind(Y,$fot(X_255)),bind(Z,$fot(inverse(multiply(X_255,multiply(X_256,X_257)))))]]) ).
cnf(refute_0_2325,plain,
commutator(multiply(commutator(X_255,X_256),X_257),multiply(multiply(X_256,X_255),inverse(multiply(X_255,multiply(X_256,X_257))))) = commutator(multiply(commutator(X_255,X_256),X_257),multiply(multiply(X_256,X_255),inverse(multiply(X_255,multiply(X_256,X_257))))),
introduced(tautology,[refl,[$fot(commutator(multiply(commutator(X_255,X_256),X_257),multiply(multiply(X_256,X_255),inverse(multiply(X_255,multiply(X_256,X_257))))))]]) ).
cnf(refute_0_2326,plain,
( multiply(multiply(X_256,X_255),inverse(multiply(X_255,multiply(X_256,X_257)))) != multiply(X_256,multiply(X_255,inverse(multiply(X_255,multiply(X_256,X_257)))))
| commutator(multiply(commutator(X_255,X_256),X_257),multiply(multiply(X_256,X_255),inverse(multiply(X_255,multiply(X_256,X_257))))) != commutator(multiply(commutator(X_255,X_256),X_257),multiply(multiply(X_256,X_255),inverse(multiply(X_255,multiply(X_256,X_257)))))
| commutator(multiply(commutator(X_255,X_256),X_257),multiply(multiply(X_256,X_255),inverse(multiply(X_255,multiply(X_256,X_257))))) = commutator(multiply(commutator(X_255,X_256),X_257),multiply(X_256,multiply(X_255,inverse(multiply(X_255,multiply(X_256,X_257)))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(commutator(X_255,X_256),X_257),multiply(multiply(X_256,X_255),inverse(multiply(X_255,multiply(X_256,X_257))))),commutator(multiply(commutator(X_255,X_256),X_257),multiply(multiply(X_256,X_255),inverse(multiply(X_255,multiply(X_256,X_257)))))) ),[1,1],$fot(multiply(X_256,multiply(X_255,inverse(multiply(X_255,multiply(X_256,X_257))))))]]) ).
cnf(refute_0_2327,plain,
( multiply(multiply(X_256,X_255),inverse(multiply(X_255,multiply(X_256,X_257)))) != multiply(X_256,multiply(X_255,inverse(multiply(X_255,multiply(X_256,X_257)))))
| commutator(multiply(commutator(X_255,X_256),X_257),multiply(multiply(X_256,X_255),inverse(multiply(X_255,multiply(X_256,X_257))))) = commutator(multiply(commutator(X_255,X_256),X_257),multiply(X_256,multiply(X_255,inverse(multiply(X_255,multiply(X_256,X_257)))))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(commutator(X_255,X_256),X_257),multiply(multiply(X_256,X_255),inverse(multiply(X_255,multiply(X_256,X_257))))),commutator(multiply(commutator(X_255,X_256),X_257),multiply(multiply(X_256,X_255),inverse(multiply(X_255,multiply(X_256,X_257)))))) )],[refute_0_2325,refute_0_2326]) ).
cnf(refute_0_2328,plain,
commutator(multiply(commutator(X_255,X_256),X_257),multiply(multiply(X_256,X_255),inverse(multiply(X_255,multiply(X_256,X_257))))) = commutator(multiply(commutator(X_255,X_256),X_257),multiply(X_256,multiply(X_255,inverse(multiply(X_255,multiply(X_256,X_257)))))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_256,X_255),inverse(multiply(X_255,multiply(X_256,X_257)))),multiply(X_256,multiply(X_255,inverse(multiply(X_255,multiply(X_256,X_257)))))) )],[refute_0_2324,refute_0_2327]) ).
cnf(refute_0_2329,plain,
commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(multiply(X_10,X_171)))) = commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(X_171))),
inference(subst,[],[refute_0_1692:[bind(X_10,$fot(X_171)),bind(X_161,$fot(inverse(multiply(X_10,X_171)))),bind(X_162,$fot(X_173))]]) ).
cnf(refute_0_2330,plain,
multiply(X_171,inverse(multiply(X_10,X_171))) = inverse(X_10),
inference(subst,[],[refute_0_176:[bind(X_57,$fot(X_171))]]) ).
cnf(refute_0_2331,plain,
( multiply(X_171,inverse(multiply(X_10,X_171))) != inverse(X_10)
| commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(multiply(X_10,X_171)))) != commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(X_171)))
| commutator(inverse(X_10),multiply(X_173,inverse(multiply(X_10,X_171)))) = commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(X_171))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(multiply(X_10,X_171)))),commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(X_171)))) ),[0,0],$fot(inverse(X_10))]]) ).
cnf(refute_0_2332,plain,
( commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(multiply(X_10,X_171)))) != commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(X_171)))
| commutator(inverse(X_10),multiply(X_173,inverse(multiply(X_10,X_171)))) = commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(X_171))) ),
inference(resolve,[$cnf( $equal(multiply(X_171,inverse(multiply(X_10,X_171))),inverse(X_10)) )],[refute_0_2330,refute_0_2331]) ).
cnf(refute_0_2333,plain,
commutator(inverse(X_10),multiply(X_173,inverse(multiply(X_10,X_171)))) = commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(X_171))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(multiply(X_10,X_171)))),commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(X_171)))) )],[refute_0_2329,refute_0_2332]) ).
cnf(refute_0_2334,plain,
commutator(X_10,multiply(X_10,multiply(X_171,inverse(X_173)))) = commutator(X_10,multiply(X_171,inverse(X_173))),
inference(subst,[],[refute_0_455:[bind(X_11,$fot(multiply(X_171,inverse(X_173))))]]) ).
cnf(refute_0_2335,plain,
multiply(multiply(X_10,X_171),inverse(X_173)) = multiply(X_10,multiply(X_171,inverse(X_173))),
inference(subst,[],[associativity:[bind(X,$fot(X_10)),bind(Y,$fot(X_171)),bind(Z,$fot(inverse(X_173)))]]) ).
cnf(refute_0_2336,plain,
commutator(X_10,multiply(multiply(X_10,X_171),inverse(X_173))) = commutator(X_10,multiply(multiply(X_10,X_171),inverse(X_173))),
introduced(tautology,[refl,[$fot(commutator(X_10,multiply(multiply(X_10,X_171),inverse(X_173))))]]) ).
cnf(refute_0_2337,plain,
( multiply(multiply(X_10,X_171),inverse(X_173)) != multiply(X_10,multiply(X_171,inverse(X_173)))
| commutator(X_10,multiply(multiply(X_10,X_171),inverse(X_173))) != commutator(X_10,multiply(multiply(X_10,X_171),inverse(X_173)))
| commutator(X_10,multiply(multiply(X_10,X_171),inverse(X_173))) = commutator(X_10,multiply(X_10,multiply(X_171,inverse(X_173)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_10,multiply(multiply(X_10,X_171),inverse(X_173))),commutator(X_10,multiply(multiply(X_10,X_171),inverse(X_173)))) ),[1,1],$fot(multiply(X_10,multiply(X_171,inverse(X_173))))]]) ).
cnf(refute_0_2338,plain,
( multiply(multiply(X_10,X_171),inverse(X_173)) != multiply(X_10,multiply(X_171,inverse(X_173)))
| commutator(X_10,multiply(multiply(X_10,X_171),inverse(X_173))) = commutator(X_10,multiply(X_10,multiply(X_171,inverse(X_173)))) ),
inference(resolve,[$cnf( $equal(commutator(X_10,multiply(multiply(X_10,X_171),inverse(X_173))),commutator(X_10,multiply(multiply(X_10,X_171),inverse(X_173)))) )],[refute_0_2336,refute_0_2337]) ).
cnf(refute_0_2339,plain,
commutator(X_10,multiply(multiply(X_10,X_171),inverse(X_173))) = commutator(X_10,multiply(X_10,multiply(X_171,inverse(X_173)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_10,X_171),inverse(X_173)),multiply(X_10,multiply(X_171,inverse(X_173)))) )],[refute_0_2335,refute_0_2338]) ).
cnf(refute_0_2340,plain,
( commutator(X_10,multiply(X_10,multiply(X_171,inverse(X_173)))) != commutator(X_10,multiply(X_171,inverse(X_173)))
| commutator(X_10,multiply(multiply(X_10,X_171),inverse(X_173))) != commutator(X_10,multiply(X_10,multiply(X_171,inverse(X_173))))
| commutator(X_10,multiply(multiply(X_10,X_171),inverse(X_173))) = commutator(X_10,multiply(X_171,inverse(X_173))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(X_10,multiply(multiply(X_10,X_171),inverse(X_173))))),bind(Y0,$fot(commutator(X_10,multiply(X_10,multiply(X_171,inverse(X_173)))))),bind(Z0,$fot(commutator(X_10,multiply(X_171,inverse(X_173)))))]]) ).
cnf(refute_0_2341,plain,
( commutator(X_10,multiply(X_10,multiply(X_171,inverse(X_173)))) != commutator(X_10,multiply(X_171,inverse(X_173)))
| commutator(X_10,multiply(multiply(X_10,X_171),inverse(X_173))) = commutator(X_10,multiply(X_171,inverse(X_173))) ),
inference(resolve,[$cnf( $equal(commutator(X_10,multiply(multiply(X_10,X_171),inverse(X_173))),commutator(X_10,multiply(X_10,multiply(X_171,inverse(X_173))))) )],[refute_0_2339,refute_0_2340]) ).
cnf(refute_0_2342,plain,
commutator(X_10,multiply(multiply(X_10,X_171),inverse(X_173))) = commutator(X_10,multiply(X_171,inverse(X_173))),
inference(resolve,[$cnf( $equal(commutator(X_10,multiply(X_10,multiply(X_171,inverse(X_173)))),commutator(X_10,multiply(X_171,inverse(X_173)))) )],[refute_0_2334,refute_0_2341]) ).
cnf(refute_0_2343,plain,
commutator(multiply(X_173,inverse(multiply(X_10,X_171))),X_10) = commutator(X_10,multiply(multiply(X_10,X_171),inverse(X_173))),
inference(subst,[],[refute_0_1601:[bind(X_110,$fot(X_10)),bind(X_141,$fot(multiply(X_10,X_171))),bind(X_142,$fot(X_173))]]) ).
cnf(refute_0_2344,plain,
commutator(inverse(X_10),multiply(X_173,inverse(multiply(X_10,X_171)))) = commutator(multiply(X_173,inverse(multiply(X_10,X_171))),X_10),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(X_10)),bind(X_110,$fot(multiply(X_173,inverse(multiply(X_10,X_171)))))]]) ).
cnf(refute_0_2345,plain,
( commutator(multiply(X_173,inverse(multiply(X_10,X_171))),X_10) != commutator(X_10,multiply(multiply(X_10,X_171),inverse(X_173)))
| commutator(inverse(X_10),multiply(X_173,inverse(multiply(X_10,X_171)))) != commutator(multiply(X_173,inverse(multiply(X_10,X_171))),X_10)
| commutator(inverse(X_10),multiply(X_173,inverse(multiply(X_10,X_171)))) = commutator(X_10,multiply(multiply(X_10,X_171),inverse(X_173))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(inverse(X_10),multiply(X_173,inverse(multiply(X_10,X_171)))))),bind(Y0,$fot(commutator(multiply(X_173,inverse(multiply(X_10,X_171))),X_10))),bind(Z0,$fot(commutator(X_10,multiply(multiply(X_10,X_171),inverse(X_173)))))]]) ).
cnf(refute_0_2346,plain,
( commutator(multiply(X_173,inverse(multiply(X_10,X_171))),X_10) != commutator(X_10,multiply(multiply(X_10,X_171),inverse(X_173)))
| commutator(inverse(X_10),multiply(X_173,inverse(multiply(X_10,X_171)))) = commutator(X_10,multiply(multiply(X_10,X_171),inverse(X_173))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_10),multiply(X_173,inverse(multiply(X_10,X_171)))),commutator(multiply(X_173,inverse(multiply(X_10,X_171))),X_10)) )],[refute_0_2344,refute_0_2345]) ).
cnf(refute_0_2347,plain,
commutator(inverse(X_10),multiply(X_173,inverse(multiply(X_10,X_171)))) = commutator(X_10,multiply(multiply(X_10,X_171),inverse(X_173))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_173,inverse(multiply(X_10,X_171))),X_10),commutator(X_10,multiply(multiply(X_10,X_171),inverse(X_173)))) )],[refute_0_2343,refute_0_2346]) ).
cnf(refute_0_2348,plain,
( commutator(X_10,multiply(multiply(X_10,X_171),inverse(X_173))) != commutator(X_10,multiply(X_171,inverse(X_173)))
| commutator(inverse(X_10),multiply(X_173,inverse(multiply(X_10,X_171)))) != commutator(X_10,multiply(multiply(X_10,X_171),inverse(X_173)))
| commutator(inverse(X_10),multiply(X_173,inverse(multiply(X_10,X_171)))) = commutator(X_10,multiply(X_171,inverse(X_173))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(inverse(X_10),multiply(X_173,inverse(multiply(X_10,X_171)))))),bind(Y0,$fot(commutator(X_10,multiply(multiply(X_10,X_171),inverse(X_173))))),bind(Z0,$fot(commutator(X_10,multiply(X_171,inverse(X_173)))))]]) ).
cnf(refute_0_2349,plain,
( commutator(X_10,multiply(multiply(X_10,X_171),inverse(X_173))) != commutator(X_10,multiply(X_171,inverse(X_173)))
| commutator(inverse(X_10),multiply(X_173,inverse(multiply(X_10,X_171)))) = commutator(X_10,multiply(X_171,inverse(X_173))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_10),multiply(X_173,inverse(multiply(X_10,X_171)))),commutator(X_10,multiply(multiply(X_10,X_171),inverse(X_173)))) )],[refute_0_2347,refute_0_2348]) ).
cnf(refute_0_2350,plain,
commutator(inverse(X_10),multiply(X_173,inverse(multiply(X_10,X_171)))) = commutator(X_10,multiply(X_171,inverse(X_173))),
inference(resolve,[$cnf( $equal(commutator(X_10,multiply(multiply(X_10,X_171),inverse(X_173))),commutator(X_10,multiply(X_171,inverse(X_173)))) )],[refute_0_2342,refute_0_2349]) ).
cnf(refute_0_2351,plain,
( commutator(inverse(X_10),multiply(X_173,inverse(multiply(X_10,X_171)))) != commutator(X_10,multiply(X_171,inverse(X_173)))
| commutator(inverse(X_10),multiply(X_173,inverse(multiply(X_10,X_171)))) != commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(X_171)))
| commutator(X_10,multiply(X_171,inverse(X_173))) = commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(X_171))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(X_10),multiply(X_173,inverse(multiply(X_10,X_171)))),commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(X_171)))) ),[0],$fot(commutator(X_10,multiply(X_171,inverse(X_173))))]]) ).
cnf(refute_0_2352,plain,
( commutator(inverse(X_10),multiply(X_173,inverse(multiply(X_10,X_171)))) != commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(X_171)))
| commutator(X_10,multiply(X_171,inverse(X_173))) = commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(X_171))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_10),multiply(X_173,inverse(multiply(X_10,X_171)))),commutator(X_10,multiply(X_171,inverse(X_173)))) )],[refute_0_2350,refute_0_2351]) ).
cnf(refute_0_2353,plain,
commutator(inverse(X_10),multiply(X_173,inverse(X_171))) = commutator(multiply(X_173,inverse(X_171)),X_10),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(X_10)),bind(X_110,$fot(multiply(X_173,inverse(X_171))))]]) ).
cnf(refute_0_2354,plain,
commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(X_171))) = commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(X_171))),
introduced(tautology,[refl,[$fot(commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(X_171))))]]) ).
cnf(refute_0_2355,plain,
( multiply(X_171,inverse(multiply(X_10,X_171))) != inverse(X_10)
| commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(X_171))) != commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(X_171)))
| commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(X_171))) = commutator(inverse(X_10),multiply(X_173,inverse(X_171))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(X_171))),commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(X_171)))) ),[1,0],$fot(inverse(X_10))]]) ).
cnf(refute_0_2356,plain,
( multiply(X_171,inverse(multiply(X_10,X_171))) != inverse(X_10)
| commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(X_171))) = commutator(inverse(X_10),multiply(X_173,inverse(X_171))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(X_171))),commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(X_171)))) )],[refute_0_2354,refute_0_2355]) ).
cnf(refute_0_2357,plain,
commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(X_171))) = commutator(inverse(X_10),multiply(X_173,inverse(X_171))),
inference(resolve,[$cnf( $equal(multiply(X_171,inverse(multiply(X_10,X_171))),inverse(X_10)) )],[refute_0_2330,refute_0_2356]) ).
cnf(refute_0_2358,plain,
( commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(X_171))) != commutator(inverse(X_10),multiply(X_173,inverse(X_171)))
| commutator(inverse(X_10),multiply(X_173,inverse(X_171))) != commutator(multiply(X_173,inverse(X_171)),X_10)
| commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(X_171))) = commutator(multiply(X_173,inverse(X_171)),X_10) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(X_171))))),bind(Y0,$fot(commutator(inverse(X_10),multiply(X_173,inverse(X_171))))),bind(Z0,$fot(commutator(multiply(X_173,inverse(X_171)),X_10)))]]) ).
cnf(refute_0_2359,plain,
( commutator(inverse(X_10),multiply(X_173,inverse(X_171))) != commutator(multiply(X_173,inverse(X_171)),X_10)
| commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(X_171))) = commutator(multiply(X_173,inverse(X_171)),X_10) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(X_171))),commutator(inverse(X_10),multiply(X_173,inverse(X_171)))) )],[refute_0_2357,refute_0_2358]) ).
cnf(refute_0_2360,plain,
commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(X_171))) = commutator(multiply(X_173,inverse(X_171)),X_10),
inference(resolve,[$cnf( $equal(commutator(inverse(X_10),multiply(X_173,inverse(X_171))),commutator(multiply(X_173,inverse(X_171)),X_10)) )],[refute_0_2353,refute_0_2359]) ).
cnf(refute_0_2361,plain,
( commutator(X_10,multiply(X_171,inverse(X_173))) != commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(X_171)))
| commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(X_171))) != commutator(multiply(X_173,inverse(X_171)),X_10)
| commutator(X_10,multiply(X_171,inverse(X_173))) = commutator(multiply(X_173,inverse(X_171)),X_10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(X_10,multiply(X_171,inverse(X_173))),commutator(multiply(X_173,inverse(X_171)),X_10)) ),[0],$fot(commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(X_171))))]]) ).
cnf(refute_0_2362,plain,
( commutator(X_10,multiply(X_171,inverse(X_173))) != commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(X_171)))
| commutator(X_10,multiply(X_171,inverse(X_173))) = commutator(multiply(X_173,inverse(X_171)),X_10) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(X_171))),commutator(multiply(X_173,inverse(X_171)),X_10)) )],[refute_0_2360,refute_0_2361]) ).
cnf(refute_0_2363,plain,
( commutator(inverse(X_10),multiply(X_173,inverse(multiply(X_10,X_171)))) != commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(X_171)))
| commutator(X_10,multiply(X_171,inverse(X_173))) = commutator(multiply(X_173,inverse(X_171)),X_10) ),
inference(resolve,[$cnf( $equal(commutator(X_10,multiply(X_171,inverse(X_173))),commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(X_171)))) )],[refute_0_2352,refute_0_2362]) ).
cnf(refute_0_2364,plain,
commutator(X_10,multiply(X_171,inverse(X_173))) = commutator(multiply(X_173,inverse(X_171)),X_10),
inference(resolve,[$cnf( $equal(commutator(inverse(X_10),multiply(X_173,inverse(multiply(X_10,X_171)))),commutator(multiply(X_171,inverse(multiply(X_10,X_171))),multiply(X_173,inverse(X_171)))) )],[refute_0_2333,refute_0_2363]) ).
cnf(refute_0_2365,plain,
( commutator(X_10,multiply(X_171,inverse(X_173))) != commutator(multiply(X_173,inverse(X_171)),X_10)
| commutator(multiply(X_173,inverse(X_171)),X_10) = commutator(X_10,multiply(X_171,inverse(X_173))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_10,multiply(X_171,inverse(X_173))))),bind(Y0,$fot(commutator(multiply(X_173,inverse(X_171)),X_10)))]]) ).
cnf(refute_0_2366,plain,
commutator(multiply(X_173,inverse(X_171)),X_10) = commutator(X_10,multiply(X_171,inverse(X_173))),
inference(resolve,[$cnf( $equal(commutator(X_10,multiply(X_171,inverse(X_173))),commutator(multiply(X_173,inverse(X_171)),X_10)) )],[refute_0_2364,refute_0_2365]) ).
cnf(refute_0_2367,plain,
commutator(multiply(multiply(X_255,multiply(X_256,X_257)),inverse(multiply(X_256,X_255))),multiply(commutator(X_255,X_256),X_257)) = commutator(multiply(commutator(X_255,X_256),X_257),multiply(multiply(X_256,X_255),inverse(multiply(X_255,multiply(X_256,X_257))))),
inference(subst,[],[refute_0_2366:[bind(X_10,$fot(multiply(commutator(X_255,X_256),X_257))),bind(X_171,$fot(multiply(X_256,X_255))),bind(X_173,$fot(multiply(X_255,multiply(X_256,X_257))))]]) ).
cnf(refute_0_2368,plain,
( commutator(multiply(multiply(X_255,multiply(X_256,X_257)),inverse(multiply(X_256,X_255))),multiply(commutator(X_255,X_256),X_257)) != commutator(multiply(commutator(X_255,X_256),X_257),multiply(multiply(X_256,X_255),inverse(multiply(X_255,multiply(X_256,X_257)))))
| commutator(multiply(commutator(X_255,X_256),X_257),multiply(multiply(X_256,X_255),inverse(multiply(X_255,multiply(X_256,X_257))))) != commutator(multiply(commutator(X_255,X_256),X_257),multiply(X_256,multiply(X_255,inverse(multiply(X_255,multiply(X_256,X_257))))))
| commutator(multiply(multiply(X_255,multiply(X_256,X_257)),inverse(multiply(X_256,X_255))),multiply(commutator(X_255,X_256),X_257)) = commutator(multiply(commutator(X_255,X_256),X_257),multiply(X_256,multiply(X_255,inverse(multiply(X_255,multiply(X_256,X_257)))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(multiply(X_255,multiply(X_256,X_257)),inverse(multiply(X_256,X_255))),multiply(commutator(X_255,X_256),X_257)))),bind(Y0,$fot(commutator(multiply(commutator(X_255,X_256),X_257),multiply(multiply(X_256,X_255),inverse(multiply(X_255,multiply(X_256,X_257))))))),bind(Z0,$fot(commutator(multiply(commutator(X_255,X_256),X_257),multiply(X_256,multiply(X_255,inverse(multiply(X_255,multiply(X_256,X_257))))))))]]) ).
cnf(refute_0_2369,plain,
( commutator(multiply(commutator(X_255,X_256),X_257),multiply(multiply(X_256,X_255),inverse(multiply(X_255,multiply(X_256,X_257))))) != commutator(multiply(commutator(X_255,X_256),X_257),multiply(X_256,multiply(X_255,inverse(multiply(X_255,multiply(X_256,X_257))))))
| commutator(multiply(multiply(X_255,multiply(X_256,X_257)),inverse(multiply(X_256,X_255))),multiply(commutator(X_255,X_256),X_257)) = commutator(multiply(commutator(X_255,X_256),X_257),multiply(X_256,multiply(X_255,inverse(multiply(X_255,multiply(X_256,X_257)))))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(multiply(X_255,multiply(X_256,X_257)),inverse(multiply(X_256,X_255))),multiply(commutator(X_255,X_256),X_257)),commutator(multiply(commutator(X_255,X_256),X_257),multiply(multiply(X_256,X_255),inverse(multiply(X_255,multiply(X_256,X_257)))))) )],[refute_0_2367,refute_0_2368]) ).
cnf(refute_0_2370,plain,
commutator(multiply(multiply(X_255,multiply(X_256,X_257)),inverse(multiply(X_256,X_255))),multiply(commutator(X_255,X_256),X_257)) = commutator(multiply(commutator(X_255,X_256),X_257),multiply(X_256,multiply(X_255,inverse(multiply(X_255,multiply(X_256,X_257)))))),
inference(resolve,[$cnf( $equal(commutator(multiply(commutator(X_255,X_256),X_257),multiply(multiply(X_256,X_255),inverse(multiply(X_255,multiply(X_256,X_257))))),commutator(multiply(commutator(X_255,X_256),X_257),multiply(X_256,multiply(X_255,inverse(multiply(X_255,multiply(X_256,X_257))))))) )],[refute_0_2328,refute_0_2369]) ).
cnf(refute_0_2371,plain,
( commutator(multiply(multiply(X_255,multiply(X_256,X_257)),inverse(multiply(X_256,X_255))),multiply(commutator(X_255,X_256),X_257)) != commutator(multiply(commutator(X_255,X_256),X_257),multiply(X_256,multiply(X_255,inverse(multiply(X_255,multiply(X_256,X_257))))))
| identity != commutator(multiply(multiply(X_255,multiply(X_256,X_257)),inverse(multiply(X_256,X_255))),multiply(commutator(X_255,X_256),X_257))
| identity = commutator(multiply(commutator(X_255,X_256),X_257),multiply(X_256,multiply(X_255,inverse(multiply(X_255,multiply(X_256,X_257)))))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(multiply(multiply(X_255,multiply(X_256,X_257)),inverse(multiply(X_256,X_255))),multiply(commutator(X_255,X_256),X_257))) ),[1],$fot(commutator(multiply(commutator(X_255,X_256),X_257),multiply(X_256,multiply(X_255,inverse(multiply(X_255,multiply(X_256,X_257)))))))]]) ).
cnf(refute_0_2372,plain,
( identity != commutator(multiply(multiply(X_255,multiply(X_256,X_257)),inverse(multiply(X_256,X_255))),multiply(commutator(X_255,X_256),X_257))
| identity = commutator(multiply(commutator(X_255,X_256),X_257),multiply(X_256,multiply(X_255,inverse(multiply(X_255,multiply(X_256,X_257)))))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(multiply(X_255,multiply(X_256,X_257)),inverse(multiply(X_256,X_255))),multiply(commutator(X_255,X_256),X_257)),commutator(multiply(commutator(X_255,X_256),X_257),multiply(X_256,multiply(X_255,inverse(multiply(X_255,multiply(X_256,X_257))))))) )],[refute_0_2370,refute_0_2371]) ).
cnf(refute_0_2373,plain,
identity = commutator(multiply(commutator(X_255,X_256),X_257),multiply(X_256,multiply(X_255,inverse(multiply(X_255,multiply(X_256,X_257)))))),
inference(resolve,[$cnf( $equal(identity,commutator(multiply(multiply(X_255,multiply(X_256,X_257)),inverse(multiply(X_256,X_255))),multiply(commutator(X_255,X_256),X_257))) )],[refute_0_2323,refute_0_2372]) ).
cnf(refute_0_2374,plain,
identity = commutator(multiply(commutator(multiply(X_318,X_319),X_318),X_319),multiply(X_318,multiply(multiply(X_318,X_319),inverse(multiply(multiply(X_318,X_319),multiply(X_318,X_319)))))),
inference(subst,[],[refute_0_2373:[bind(X_255,$fot(multiply(X_318,X_319))),bind(X_256,$fot(X_318)),bind(X_257,$fot(X_319))]]) ).
cnf(refute_0_2375,plain,
multiply(multiply(X_318,X_319),inverse(multiply(multiply(X_318,X_319),multiply(X_318,X_319)))) = inverse(multiply(X_318,X_319)),
inference(subst,[],[refute_0_176:[bind(X_10,$fot(multiply(X_318,X_319))),bind(X_57,$fot(multiply(X_318,X_319)))]]) ).
cnf(refute_0_2376,plain,
( multiply(multiply(X_318,X_319),inverse(multiply(multiply(X_318,X_319),multiply(X_318,X_319)))) != inverse(multiply(X_318,X_319))
| identity != commutator(multiply(commutator(multiply(X_318,X_319),X_318),X_319),multiply(X_318,multiply(multiply(X_318,X_319),inverse(multiply(multiply(X_318,X_319),multiply(X_318,X_319))))))
| identity = commutator(multiply(commutator(multiply(X_318,X_319),X_318),X_319),multiply(X_318,inverse(multiply(X_318,X_319)))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(multiply(commutator(multiply(X_318,X_319),X_318),X_319),multiply(X_318,multiply(multiply(X_318,X_319),inverse(multiply(multiply(X_318,X_319),multiply(X_318,X_319))))))) ),[1,1,1],$fot(inverse(multiply(X_318,X_319)))]]) ).
cnf(refute_0_2377,plain,
( identity != commutator(multiply(commutator(multiply(X_318,X_319),X_318),X_319),multiply(X_318,multiply(multiply(X_318,X_319),inverse(multiply(multiply(X_318,X_319),multiply(X_318,X_319))))))
| identity = commutator(multiply(commutator(multiply(X_318,X_319),X_318),X_319),multiply(X_318,inverse(multiply(X_318,X_319)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_318,X_319),inverse(multiply(multiply(X_318,X_319),multiply(X_318,X_319)))),inverse(multiply(X_318,X_319))) )],[refute_0_2375,refute_0_2376]) ).
cnf(refute_0_2378,plain,
identity = commutator(multiply(commutator(multiply(X_318,X_319),X_318),X_319),multiply(X_318,inverse(multiply(X_318,X_319)))),
inference(resolve,[$cnf( $equal(identity,commutator(multiply(commutator(multiply(X_318,X_319),X_318),X_319),multiply(X_318,multiply(multiply(X_318,X_319),inverse(multiply(multiply(X_318,X_319),multiply(X_318,X_319))))))) )],[refute_0_2374,refute_0_2377]) ).
cnf(refute_0_2379,plain,
multiply(commutator(X_319,X_318),X_319) = multiply(X_319,commutator(X_319,X_318)),
inference(subst,[],[refute_0_2195:[bind(X_102,$fot(X_318)),bind(X_58,$fot(X_319))]]) ).
cnf(refute_0_2380,plain,
commutator(multiply(X_318,X_319),X_318) = commutator(X_319,X_318),
inference(subst,[],[refute_0_951:[bind(Y,$fot(X_318)),bind(X_86,$fot(X_319))]]) ).
cnf(refute_0_2381,plain,
multiply(commutator(multiply(X_318,X_319),X_318),X_319) = multiply(commutator(multiply(X_318,X_319),X_318),X_319),
introduced(tautology,[refl,[$fot(multiply(commutator(multiply(X_318,X_319),X_318),X_319))]]) ).
cnf(refute_0_2382,plain,
( multiply(commutator(multiply(X_318,X_319),X_318),X_319) != multiply(commutator(multiply(X_318,X_319),X_318),X_319)
| commutator(multiply(X_318,X_319),X_318) != commutator(X_319,X_318)
| multiply(commutator(multiply(X_318,X_319),X_318),X_319) = multiply(commutator(X_319,X_318),X_319) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(multiply(X_318,X_319),X_318),X_319),multiply(commutator(multiply(X_318,X_319),X_318),X_319)) ),[1,0],$fot(commutator(X_319,X_318))]]) ).
cnf(refute_0_2383,plain,
( commutator(multiply(X_318,X_319),X_318) != commutator(X_319,X_318)
| multiply(commutator(multiply(X_318,X_319),X_318),X_319) = multiply(commutator(X_319,X_318),X_319) ),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_318,X_319),X_318),X_319),multiply(commutator(multiply(X_318,X_319),X_318),X_319)) )],[refute_0_2381,refute_0_2382]) ).
cnf(refute_0_2384,plain,
multiply(commutator(multiply(X_318,X_319),X_318),X_319) = multiply(commutator(X_319,X_318),X_319),
inference(resolve,[$cnf( $equal(commutator(multiply(X_318,X_319),X_318),commutator(X_319,X_318)) )],[refute_0_2380,refute_0_2383]) ).
cnf(refute_0_2385,plain,
( multiply(commutator(X_319,X_318),X_319) != multiply(X_319,commutator(X_319,X_318))
| multiply(commutator(multiply(X_318,X_319),X_318),X_319) != multiply(commutator(X_319,X_318),X_319)
| multiply(commutator(multiply(X_318,X_319),X_318),X_319) = multiply(X_319,commutator(X_319,X_318)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(multiply(X_318,X_319),X_318),X_319))),bind(Y0,$fot(multiply(commutator(X_319,X_318),X_319))),bind(Z0,$fot(multiply(X_319,commutator(X_319,X_318))))]]) ).
cnf(refute_0_2386,plain,
( multiply(commutator(X_319,X_318),X_319) != multiply(X_319,commutator(X_319,X_318))
| multiply(commutator(multiply(X_318,X_319),X_318),X_319) = multiply(X_319,commutator(X_319,X_318)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_318,X_319),X_318),X_319),multiply(commutator(X_319,X_318),X_319)) )],[refute_0_2384,refute_0_2385]) ).
cnf(refute_0_2387,plain,
multiply(commutator(multiply(X_318,X_319),X_318),X_319) = multiply(X_319,commutator(X_319,X_318)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_319,X_318),X_319),multiply(X_319,commutator(X_319,X_318))) )],[refute_0_2379,refute_0_2386]) ).
cnf(refute_0_2388,plain,
commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(commutator(multiply(X_318,X_319),X_318),X_319)) = commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(commutator(multiply(X_318,X_319),X_318),X_319)),
introduced(tautology,[refl,[$fot(commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(commutator(multiply(X_318,X_319),X_318),X_319)))]]) ).
cnf(refute_0_2389,plain,
( multiply(commutator(multiply(X_318,X_319),X_318),X_319) != multiply(X_319,commutator(X_319,X_318))
| commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(commutator(multiply(X_318,X_319),X_318),X_319)) != commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(commutator(multiply(X_318,X_319),X_318),X_319))
| commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(commutator(multiply(X_318,X_319),X_318),X_319)) = commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(X_319,commutator(X_319,X_318))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(commutator(multiply(X_318,X_319),X_318),X_319)),commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(commutator(multiply(X_318,X_319),X_318),X_319))) ),[1,1],$fot(multiply(X_319,commutator(X_319,X_318)))]]) ).
cnf(refute_0_2390,plain,
( multiply(commutator(multiply(X_318,X_319),X_318),X_319) != multiply(X_319,commutator(X_319,X_318))
| commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(commutator(multiply(X_318,X_319),X_318),X_319)) = commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(X_319,commutator(X_319,X_318))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(commutator(multiply(X_318,X_319),X_318),X_319)),commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(commutator(multiply(X_318,X_319),X_318),X_319))) )],[refute_0_2388,refute_0_2389]) ).
cnf(refute_0_2391,plain,
commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(commutator(multiply(X_318,X_319),X_318),X_319)) = commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(X_319,commutator(X_319,X_318))),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_318,X_319),X_318),X_319),multiply(X_319,commutator(X_319,X_318))) )],[refute_0_2387,refute_0_2390]) ).
cnf(refute_0_2392,plain,
multiply(multiply(X_318,X_319),inverse(X_318)) = multiply(X_318,multiply(X_319,inverse(X_318))),
inference(subst,[],[associativity:[bind(X,$fot(X_318)),bind(Y,$fot(X_319)),bind(Z,$fot(inverse(X_318)))]]) ).
cnf(refute_0_2393,plain,
commutator(multiply(multiply(X_318,X_319),inverse(X_318)),multiply(commutator(multiply(X_318,X_319),X_318),X_319)) = commutator(multiply(multiply(X_318,X_319),inverse(X_318)),multiply(commutator(multiply(X_318,X_319),X_318),X_319)),
introduced(tautology,[refl,[$fot(commutator(multiply(multiply(X_318,X_319),inverse(X_318)),multiply(commutator(multiply(X_318,X_319),X_318),X_319)))]]) ).
cnf(refute_0_2394,plain,
( multiply(multiply(X_318,X_319),inverse(X_318)) != multiply(X_318,multiply(X_319,inverse(X_318)))
| commutator(multiply(multiply(X_318,X_319),inverse(X_318)),multiply(commutator(multiply(X_318,X_319),X_318),X_319)) != commutator(multiply(multiply(X_318,X_319),inverse(X_318)),multiply(commutator(multiply(X_318,X_319),X_318),X_319))
| commutator(multiply(multiply(X_318,X_319),inverse(X_318)),multiply(commutator(multiply(X_318,X_319),X_318),X_319)) = commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(commutator(multiply(X_318,X_319),X_318),X_319)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(multiply(X_318,X_319),inverse(X_318)),multiply(commutator(multiply(X_318,X_319),X_318),X_319)),commutator(multiply(multiply(X_318,X_319),inverse(X_318)),multiply(commutator(multiply(X_318,X_319),X_318),X_319))) ),[1,0],$fot(multiply(X_318,multiply(X_319,inverse(X_318))))]]) ).
cnf(refute_0_2395,plain,
( multiply(multiply(X_318,X_319),inverse(X_318)) != multiply(X_318,multiply(X_319,inverse(X_318)))
| commutator(multiply(multiply(X_318,X_319),inverse(X_318)),multiply(commutator(multiply(X_318,X_319),X_318),X_319)) = commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(commutator(multiply(X_318,X_319),X_318),X_319)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(multiply(X_318,X_319),inverse(X_318)),multiply(commutator(multiply(X_318,X_319),X_318),X_319)),commutator(multiply(multiply(X_318,X_319),inverse(X_318)),multiply(commutator(multiply(X_318,X_319),X_318),X_319))) )],[refute_0_2393,refute_0_2394]) ).
cnf(refute_0_2396,plain,
commutator(multiply(multiply(X_318,X_319),inverse(X_318)),multiply(commutator(multiply(X_318,X_319),X_318),X_319)) = commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(commutator(multiply(X_318,X_319),X_318),X_319)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_318,X_319),inverse(X_318)),multiply(X_318,multiply(X_319,inverse(X_318)))) )],[refute_0_2392,refute_0_2395]) ).
cnf(refute_0_2397,plain,
( commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(commutator(multiply(X_318,X_319),X_318),X_319)) != commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(X_319,commutator(X_319,X_318)))
| commutator(multiply(multiply(X_318,X_319),inverse(X_318)),multiply(commutator(multiply(X_318,X_319),X_318),X_319)) != commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(commutator(multiply(X_318,X_319),X_318),X_319))
| commutator(multiply(multiply(X_318,X_319),inverse(X_318)),multiply(commutator(multiply(X_318,X_319),X_318),X_319)) = commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(X_319,commutator(X_319,X_318))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(multiply(X_318,X_319),inverse(X_318)),multiply(commutator(multiply(X_318,X_319),X_318),X_319)))),bind(Y0,$fot(commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(commutator(multiply(X_318,X_319),X_318),X_319)))),bind(Z0,$fot(commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(X_319,commutator(X_319,X_318)))))]]) ).
cnf(refute_0_2398,plain,
( commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(commutator(multiply(X_318,X_319),X_318),X_319)) != commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(X_319,commutator(X_319,X_318)))
| commutator(multiply(multiply(X_318,X_319),inverse(X_318)),multiply(commutator(multiply(X_318,X_319),X_318),X_319)) = commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(X_319,commutator(X_319,X_318))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(multiply(X_318,X_319),inverse(X_318)),multiply(commutator(multiply(X_318,X_319),X_318),X_319)),commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(commutator(multiply(X_318,X_319),X_318),X_319))) )],[refute_0_2396,refute_0_2397]) ).
cnf(refute_0_2399,plain,
commutator(multiply(multiply(X_318,X_319),inverse(X_318)),multiply(commutator(multiply(X_318,X_319),X_318),X_319)) = commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(X_319,commutator(X_319,X_318))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(commutator(multiply(X_318,X_319),X_318),X_319)),commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(X_319,commutator(X_319,X_318)))) )],[refute_0_2391,refute_0_2398]) ).
cnf(refute_0_2400,plain,
commutator(multiply(commutator(multiply(X_318,X_319),X_318),X_319),multiply(X_318,inverse(multiply(X_318,X_319)))) = commutator(multiply(multiply(X_318,X_319),inverse(X_318)),multiply(commutator(multiply(X_318,X_319),X_318),X_319)),
inference(subst,[],[refute_0_2364:[bind(X_10,$fot(multiply(commutator(multiply(X_318,X_319),X_318),X_319))),bind(X_171,$fot(X_318)),bind(X_173,$fot(multiply(X_318,X_319)))]]) ).
cnf(refute_0_2401,plain,
( commutator(multiply(multiply(X_318,X_319),inverse(X_318)),multiply(commutator(multiply(X_318,X_319),X_318),X_319)) != commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(X_319,commutator(X_319,X_318)))
| commutator(multiply(commutator(multiply(X_318,X_319),X_318),X_319),multiply(X_318,inverse(multiply(X_318,X_319)))) != commutator(multiply(multiply(X_318,X_319),inverse(X_318)),multiply(commutator(multiply(X_318,X_319),X_318),X_319))
| commutator(multiply(commutator(multiply(X_318,X_319),X_318),X_319),multiply(X_318,inverse(multiply(X_318,X_319)))) = commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(X_319,commutator(X_319,X_318))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(commutator(multiply(X_318,X_319),X_318),X_319),multiply(X_318,inverse(multiply(X_318,X_319)))))),bind(Y0,$fot(commutator(multiply(multiply(X_318,X_319),inverse(X_318)),multiply(commutator(multiply(X_318,X_319),X_318),X_319)))),bind(Z0,$fot(commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(X_319,commutator(X_319,X_318)))))]]) ).
cnf(refute_0_2402,plain,
( commutator(multiply(multiply(X_318,X_319),inverse(X_318)),multiply(commutator(multiply(X_318,X_319),X_318),X_319)) != commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(X_319,commutator(X_319,X_318)))
| commutator(multiply(commutator(multiply(X_318,X_319),X_318),X_319),multiply(X_318,inverse(multiply(X_318,X_319)))) = commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(X_319,commutator(X_319,X_318))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(commutator(multiply(X_318,X_319),X_318),X_319),multiply(X_318,inverse(multiply(X_318,X_319)))),commutator(multiply(multiply(X_318,X_319),inverse(X_318)),multiply(commutator(multiply(X_318,X_319),X_318),X_319))) )],[refute_0_2400,refute_0_2401]) ).
cnf(refute_0_2403,plain,
commutator(multiply(commutator(multiply(X_318,X_319),X_318),X_319),multiply(X_318,inverse(multiply(X_318,X_319)))) = commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(X_319,commutator(X_319,X_318))),
inference(resolve,[$cnf( $equal(commutator(multiply(multiply(X_318,X_319),inverse(X_318)),multiply(commutator(multiply(X_318,X_319),X_318),X_319)),commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(X_319,commutator(X_319,X_318)))) )],[refute_0_2399,refute_0_2402]) ).
cnf(refute_0_2404,plain,
( commutator(multiply(commutator(multiply(X_318,X_319),X_318),X_319),multiply(X_318,inverse(multiply(X_318,X_319)))) != commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(X_319,commutator(X_319,X_318)))
| identity != commutator(multiply(commutator(multiply(X_318,X_319),X_318),X_319),multiply(X_318,inverse(multiply(X_318,X_319))))
| identity = commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(X_319,commutator(X_319,X_318))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(multiply(commutator(multiply(X_318,X_319),X_318),X_319),multiply(X_318,inverse(multiply(X_318,X_319))))) ),[1],$fot(commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(X_319,commutator(X_319,X_318))))]]) ).
cnf(refute_0_2405,plain,
( identity != commutator(multiply(commutator(multiply(X_318,X_319),X_318),X_319),multiply(X_318,inverse(multiply(X_318,X_319))))
| identity = commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(X_319,commutator(X_319,X_318))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(commutator(multiply(X_318,X_319),X_318),X_319),multiply(X_318,inverse(multiply(X_318,X_319)))),commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(X_319,commutator(X_319,X_318)))) )],[refute_0_2403,refute_0_2404]) ).
cnf(refute_0_2406,plain,
identity = commutator(multiply(X_318,multiply(X_319,inverse(X_318))),multiply(X_319,commutator(X_319,X_318))),
inference(resolve,[$cnf( $equal(identity,commutator(multiply(commutator(multiply(X_318,X_319),X_318),X_319),multiply(X_318,inverse(multiply(X_318,X_319))))) )],[refute_0_2378,refute_0_2405]) ).
cnf(refute_0_2407,plain,
identity = commutator(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),multiply(multiply(X_128,commutator(X_128,X_320)),commutator(multiply(X_128,commutator(X_128,X_320)),X_320))),
inference(subst,[],[refute_0_2406:[bind(X_318,$fot(X_320)),bind(X_319,$fot(multiply(X_128,commutator(X_128,X_320))))]]) ).
cnf(refute_0_2408,plain,
commutator(multiply(X_128,commutator(X_128,X_320)),X_320) = commutator(X_128,X_320),
inference(subst,[],[refute_0_1592:[bind(X_127,$fot(X_320))]]) ).
cnf(refute_0_2409,plain,
( commutator(multiply(X_128,commutator(X_128,X_320)),X_320) != commutator(X_128,X_320)
| identity != commutator(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),multiply(multiply(X_128,commutator(X_128,X_320)),commutator(multiply(X_128,commutator(X_128,X_320)),X_320)))
| identity = commutator(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),multiply(multiply(X_128,commutator(X_128,X_320)),commutator(multiply(X_128,commutator(X_128,X_320)),X_320)))) ),[1,1,1],$fot(commutator(X_128,X_320))]]) ).
cnf(refute_0_2410,plain,
( identity != commutator(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),multiply(multiply(X_128,commutator(X_128,X_320)),commutator(multiply(X_128,commutator(X_128,X_320)),X_320)))
| identity = commutator(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_128,commutator(X_128,X_320)),X_320),commutator(X_128,X_320)) )],[refute_0_2408,refute_0_2409]) ).
cnf(refute_0_2411,plain,
identity = commutator(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320))),
inference(resolve,[$cnf( $equal(identity,commutator(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),multiply(multiply(X_128,commutator(X_128,X_320)),commutator(multiply(X_128,commutator(X_128,X_320)),X_320)))) )],[refute_0_2407,refute_0_2410]) ).
cnf(refute_0_2412,plain,
commutator(X_128,multiply(X_128,multiply(commutator(X_128,X_320),commutator(X_128,X_320)))) = commutator(X_128,multiply(commutator(X_128,X_320),commutator(X_128,X_320))),
inference(subst,[],[refute_0_455:[bind(X_10,$fot(X_128)),bind(X_11,$fot(multiply(commutator(X_128,X_320),commutator(X_128,X_320))))]]) ).
cnf(refute_0_2413,plain,
multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320)) = multiply(X_128,multiply(commutator(X_128,X_320),commutator(X_128,X_320))),
inference(subst,[],[associativity:[bind(X,$fot(X_128)),bind(Y,$fot(commutator(X_128,X_320))),bind(Z,$fot(commutator(X_128,X_320)))]]) ).
cnf(refute_0_2414,plain,
commutator(X_128,multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320))) = commutator(X_128,multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320))),
introduced(tautology,[refl,[$fot(commutator(X_128,multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320))))]]) ).
cnf(refute_0_2415,plain,
( multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320)) != multiply(X_128,multiply(commutator(X_128,X_320),commutator(X_128,X_320)))
| commutator(X_128,multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320))) != commutator(X_128,multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320)))
| commutator(X_128,multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320))) = commutator(X_128,multiply(X_128,multiply(commutator(X_128,X_320),commutator(X_128,X_320)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_128,multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320))),commutator(X_128,multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320)))) ),[1,1],$fot(multiply(X_128,multiply(commutator(X_128,X_320),commutator(X_128,X_320))))]]) ).
cnf(refute_0_2416,plain,
( multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320)) != multiply(X_128,multiply(commutator(X_128,X_320),commutator(X_128,X_320)))
| commutator(X_128,multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320))) = commutator(X_128,multiply(X_128,multiply(commutator(X_128,X_320),commutator(X_128,X_320)))) ),
inference(resolve,[$cnf( $equal(commutator(X_128,multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320))),commutator(X_128,multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320)))) )],[refute_0_2414,refute_0_2415]) ).
cnf(refute_0_2417,plain,
commutator(X_128,multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320))) = commutator(X_128,multiply(X_128,multiply(commutator(X_128,X_320),commutator(X_128,X_320)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320)),multiply(X_128,multiply(commutator(X_128,X_320),commutator(X_128,X_320)))) )],[refute_0_2413,refute_0_2416]) ).
cnf(refute_0_2418,plain,
multiply(X_320,multiply(inverse(X_320),X_128)) = X_128,
inference(subst,[],[refute_0_343:[bind(X,$fot(X_320)),bind(Z,$fot(X_128))]]) ).
cnf(refute_0_2419,plain,
multiply(X_75,inverse(multiply(commutator(X_75,inverse(X_10)),X_10))) = multiply(inverse(X_10),multiply(X_10,multiply(X_75,inverse(multiply(commutator(X_75,inverse(X_10)),X_10))))),
inference(subst,[],[refute_0_8:[bind(X_11,$fot(multiply(X_75,inverse(multiply(commutator(X_75,inverse(X_10)),X_10)))))]]) ).
cnf(refute_0_2420,plain,
multiply(multiply(X_29,multiply(X,inverse(X_29))),inverse(multiply(inverse(X),multiply(X_29,multiply(X,inverse(X_29)))))) = inverse(inverse(X)),
inference(subst,[],[refute_0_176:[bind(X_10,$fot(inverse(X))),bind(X_57,$fot(multiply(X_29,multiply(X,inverse(X_29)))))]]) ).
cnf(refute_0_2421,plain,
( commutator(X,inverse(X_29)) != multiply(inverse(X),multiply(X_29,multiply(X,inverse(X_29))))
| multiply(inverse(X),multiply(X_29,multiply(X,inverse(X_29)))) = commutator(X,inverse(X_29)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X,inverse(X_29)))),bind(Y0,$fot(multiply(inverse(X),multiply(X_29,multiply(X,inverse(X_29))))))]]) ).
cnf(refute_0_2422,plain,
multiply(inverse(X),multiply(X_29,multiply(X,inverse(X_29)))) = commutator(X,inverse(X_29)),
inference(resolve,[$cnf( $equal(commutator(X,inverse(X_29)),multiply(inverse(X),multiply(X_29,multiply(X,inverse(X_29))))) )],[refute_0_273,refute_0_2421]) ).
cnf(refute_0_2423,plain,
( multiply(multiply(X_29,multiply(X,inverse(X_29))),inverse(multiply(inverse(X),multiply(X_29,multiply(X,inverse(X_29)))))) != inverse(inverse(X))
| multiply(inverse(X),multiply(X_29,multiply(X,inverse(X_29)))) != commutator(X,inverse(X_29))
| multiply(multiply(X_29,multiply(X,inverse(X_29))),inverse(commutator(X,inverse(X_29)))) = inverse(inverse(X)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_29,multiply(X,inverse(X_29))),inverse(multiply(inverse(X),multiply(X_29,multiply(X,inverse(X_29)))))),inverse(inverse(X))) ),[0,1,0],$fot(commutator(X,inverse(X_29)))]]) ).
cnf(refute_0_2424,plain,
( multiply(multiply(X_29,multiply(X,inverse(X_29))),inverse(multiply(inverse(X),multiply(X_29,multiply(X,inverse(X_29)))))) != inverse(inverse(X))
| multiply(multiply(X_29,multiply(X,inverse(X_29))),inverse(commutator(X,inverse(X_29)))) = inverse(inverse(X)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X),multiply(X_29,multiply(X,inverse(X_29)))),commutator(X,inverse(X_29))) )],[refute_0_2422,refute_0_2423]) ).
cnf(refute_0_2425,plain,
multiply(multiply(X_29,multiply(X,inverse(X_29))),inverse(commutator(X,inverse(X_29)))) = inverse(inverse(X)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_29,multiply(X,inverse(X_29))),inverse(multiply(inverse(X),multiply(X_29,multiply(X,inverse(X_29)))))),inverse(inverse(X))) )],[refute_0_2420,refute_0_2424]) ).
cnf(refute_0_2426,plain,
multiply(inverse(X_29),inverse(commutator(X,inverse(X_29)))) = inverse(multiply(commutator(X,inverse(X_29)),X_29)),
inference(subst,[],[refute_0_257:[bind(X_10,$fot(X_29)),bind(X_58,$fot(commutator(X,inverse(X_29))))]]) ).
cnf(refute_0_2427,plain,
multiply(X,multiply(inverse(X_29),inverse(commutator(X,inverse(X_29))))) = multiply(X,multiply(inverse(X_29),inverse(commutator(X,inverse(X_29))))),
introduced(tautology,[refl,[$fot(multiply(X,multiply(inverse(X_29),inverse(commutator(X,inverse(X_29))))))]]) ).
cnf(refute_0_2428,plain,
( multiply(X,multiply(inverse(X_29),inverse(commutator(X,inverse(X_29))))) != multiply(X,multiply(inverse(X_29),inverse(commutator(X,inverse(X_29)))))
| multiply(inverse(X_29),inverse(commutator(X,inverse(X_29)))) != inverse(multiply(commutator(X,inverse(X_29)),X_29))
| multiply(X,multiply(inverse(X_29),inverse(commutator(X,inverse(X_29))))) = multiply(X,inverse(multiply(commutator(X,inverse(X_29)),X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(inverse(X_29),inverse(commutator(X,inverse(X_29))))),multiply(X,multiply(inverse(X_29),inverse(commutator(X,inverse(X_29)))))) ),[1,1],$fot(inverse(multiply(commutator(X,inverse(X_29)),X_29)))]]) ).
cnf(refute_0_2429,plain,
( multiply(inverse(X_29),inverse(commutator(X,inverse(X_29)))) != inverse(multiply(commutator(X,inverse(X_29)),X_29))
| multiply(X,multiply(inverse(X_29),inverse(commutator(X,inverse(X_29))))) = multiply(X,inverse(multiply(commutator(X,inverse(X_29)),X_29))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(inverse(X_29),inverse(commutator(X,inverse(X_29))))),multiply(X,multiply(inverse(X_29),inverse(commutator(X,inverse(X_29)))))) )],[refute_0_2427,refute_0_2428]) ).
cnf(refute_0_2430,plain,
multiply(X,multiply(inverse(X_29),inverse(commutator(X,inverse(X_29))))) = multiply(X,inverse(multiply(commutator(X,inverse(X_29)),X_29))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_29),inverse(commutator(X,inverse(X_29)))),inverse(multiply(commutator(X,inverse(X_29)),X_29))) )],[refute_0_2426,refute_0_2429]) ).
cnf(refute_0_2431,plain,
multiply(multiply(X,inverse(X_29)),inverse(commutator(X,inverse(X_29)))) = multiply(X,multiply(inverse(X_29),inverse(commutator(X,inverse(X_29))))),
inference(subst,[],[associativity:[bind(Y,$fot(inverse(X_29))),bind(Z,$fot(inverse(commutator(X,inverse(X_29)))))]]) ).
cnf(refute_0_2432,plain,
( multiply(X,multiply(inverse(X_29),inverse(commutator(X,inverse(X_29))))) != multiply(X,inverse(multiply(commutator(X,inverse(X_29)),X_29)))
| multiply(multiply(X,inverse(X_29)),inverse(commutator(X,inverse(X_29)))) != multiply(X,multiply(inverse(X_29),inverse(commutator(X,inverse(X_29)))))
| multiply(multiply(X,inverse(X_29)),inverse(commutator(X,inverse(X_29)))) = multiply(X,inverse(multiply(commutator(X,inverse(X_29)),X_29))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X,inverse(X_29)),inverse(commutator(X,inverse(X_29)))))),bind(Y0,$fot(multiply(X,multiply(inverse(X_29),inverse(commutator(X,inverse(X_29))))))),bind(Z0,$fot(multiply(X,inverse(multiply(commutator(X,inverse(X_29)),X_29)))))]]) ).
cnf(refute_0_2433,plain,
( multiply(X,multiply(inverse(X_29),inverse(commutator(X,inverse(X_29))))) != multiply(X,inverse(multiply(commutator(X,inverse(X_29)),X_29)))
| multiply(multiply(X,inverse(X_29)),inverse(commutator(X,inverse(X_29)))) = multiply(X,inverse(multiply(commutator(X,inverse(X_29)),X_29))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,inverse(X_29)),inverse(commutator(X,inverse(X_29)))),multiply(X,multiply(inverse(X_29),inverse(commutator(X,inverse(X_29)))))) )],[refute_0_2431,refute_0_2432]) ).
cnf(refute_0_2434,plain,
multiply(multiply(X,inverse(X_29)),inverse(commutator(X,inverse(X_29)))) = multiply(X,inverse(multiply(commutator(X,inverse(X_29)),X_29))),
inference(resolve,[$cnf( $equal(multiply(X,multiply(inverse(X_29),inverse(commutator(X,inverse(X_29))))),multiply(X,inverse(multiply(commutator(X,inverse(X_29)),X_29)))) )],[refute_0_2430,refute_0_2433]) ).
cnf(refute_0_2435,plain,
multiply(X_29,multiply(multiply(X,inverse(X_29)),inverse(commutator(X,inverse(X_29))))) = multiply(X_29,multiply(multiply(X,inverse(X_29)),inverse(commutator(X,inverse(X_29))))),
introduced(tautology,[refl,[$fot(multiply(X_29,multiply(multiply(X,inverse(X_29)),inverse(commutator(X,inverse(X_29))))))]]) ).
cnf(refute_0_2436,plain,
( multiply(X_29,multiply(multiply(X,inverse(X_29)),inverse(commutator(X,inverse(X_29))))) != multiply(X_29,multiply(multiply(X,inverse(X_29)),inverse(commutator(X,inverse(X_29)))))
| multiply(multiply(X,inverse(X_29)),inverse(commutator(X,inverse(X_29)))) != multiply(X,inverse(multiply(commutator(X,inverse(X_29)),X_29)))
| multiply(X_29,multiply(multiply(X,inverse(X_29)),inverse(commutator(X,inverse(X_29))))) = multiply(X_29,multiply(X,inverse(multiply(commutator(X,inverse(X_29)),X_29)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_29,multiply(multiply(X,inverse(X_29)),inverse(commutator(X,inverse(X_29))))),multiply(X_29,multiply(multiply(X,inverse(X_29)),inverse(commutator(X,inverse(X_29)))))) ),[1,1],$fot(multiply(X,inverse(multiply(commutator(X,inverse(X_29)),X_29))))]]) ).
cnf(refute_0_2437,plain,
( multiply(multiply(X,inverse(X_29)),inverse(commutator(X,inverse(X_29)))) != multiply(X,inverse(multiply(commutator(X,inverse(X_29)),X_29)))
| multiply(X_29,multiply(multiply(X,inverse(X_29)),inverse(commutator(X,inverse(X_29))))) = multiply(X_29,multiply(X,inverse(multiply(commutator(X,inverse(X_29)),X_29)))) ),
inference(resolve,[$cnf( $equal(multiply(X_29,multiply(multiply(X,inverse(X_29)),inverse(commutator(X,inverse(X_29))))),multiply(X_29,multiply(multiply(X,inverse(X_29)),inverse(commutator(X,inverse(X_29)))))) )],[refute_0_2435,refute_0_2436]) ).
cnf(refute_0_2438,plain,
multiply(X_29,multiply(multiply(X,inverse(X_29)),inverse(commutator(X,inverse(X_29))))) = multiply(X_29,multiply(X,inverse(multiply(commutator(X,inverse(X_29)),X_29)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X,inverse(X_29)),inverse(commutator(X,inverse(X_29)))),multiply(X,inverse(multiply(commutator(X,inverse(X_29)),X_29)))) )],[refute_0_2434,refute_0_2437]) ).
cnf(refute_0_2439,plain,
multiply(multiply(X_29,multiply(X,inverse(X_29))),inverse(commutator(X,inverse(X_29)))) = multiply(X_29,multiply(multiply(X,inverse(X_29)),inverse(commutator(X,inverse(X_29))))),
inference(subst,[],[associativity:[bind(X,$fot(X_29)),bind(Y,$fot(multiply(X,inverse(X_29)))),bind(Z,$fot(inverse(commutator(X,inverse(X_29)))))]]) ).
cnf(refute_0_2440,plain,
( multiply(X_29,multiply(multiply(X,inverse(X_29)),inverse(commutator(X,inverse(X_29))))) != multiply(X_29,multiply(X,inverse(multiply(commutator(X,inverse(X_29)),X_29))))
| multiply(multiply(X_29,multiply(X,inverse(X_29))),inverse(commutator(X,inverse(X_29)))) != multiply(X_29,multiply(multiply(X,inverse(X_29)),inverse(commutator(X,inverse(X_29)))))
| multiply(multiply(X_29,multiply(X,inverse(X_29))),inverse(commutator(X,inverse(X_29)))) = multiply(X_29,multiply(X,inverse(multiply(commutator(X,inverse(X_29)),X_29)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_29,multiply(X,inverse(X_29))),inverse(commutator(X,inverse(X_29)))))),bind(Y0,$fot(multiply(X_29,multiply(multiply(X,inverse(X_29)),inverse(commutator(X,inverse(X_29))))))),bind(Z0,$fot(multiply(X_29,multiply(X,inverse(multiply(commutator(X,inverse(X_29)),X_29))))))]]) ).
cnf(refute_0_2441,plain,
( multiply(X_29,multiply(multiply(X,inverse(X_29)),inverse(commutator(X,inverse(X_29))))) != multiply(X_29,multiply(X,inverse(multiply(commutator(X,inverse(X_29)),X_29))))
| multiply(multiply(X_29,multiply(X,inverse(X_29))),inverse(commutator(X,inverse(X_29)))) = multiply(X_29,multiply(X,inverse(multiply(commutator(X,inverse(X_29)),X_29)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_29,multiply(X,inverse(X_29))),inverse(commutator(X,inverse(X_29)))),multiply(X_29,multiply(multiply(X,inverse(X_29)),inverse(commutator(X,inverse(X_29)))))) )],[refute_0_2439,refute_0_2440]) ).
cnf(refute_0_2442,plain,
multiply(multiply(X_29,multiply(X,inverse(X_29))),inverse(commutator(X,inverse(X_29)))) = multiply(X_29,multiply(X,inverse(multiply(commutator(X,inverse(X_29)),X_29)))),
inference(resolve,[$cnf( $equal(multiply(X_29,multiply(multiply(X,inverse(X_29)),inverse(commutator(X,inverse(X_29))))),multiply(X_29,multiply(X,inverse(multiply(commutator(X,inverse(X_29)),X_29))))) )],[refute_0_2438,refute_0_2441]) ).
cnf(refute_0_2443,plain,
( multiply(multiply(X_29,multiply(X,inverse(X_29))),inverse(commutator(X,inverse(X_29)))) != multiply(X_29,multiply(X,inverse(multiply(commutator(X,inverse(X_29)),X_29))))
| multiply(multiply(X_29,multiply(X,inverse(X_29))),inverse(commutator(X,inverse(X_29)))) != inverse(inverse(X))
| multiply(X_29,multiply(X,inverse(multiply(commutator(X,inverse(X_29)),X_29)))) = inverse(inverse(X)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_29,multiply(X,inverse(X_29))),inverse(commutator(X,inverse(X_29)))),inverse(inverse(X))) ),[0],$fot(multiply(X_29,multiply(X,inverse(multiply(commutator(X,inverse(X_29)),X_29)))))]]) ).
cnf(refute_0_2444,plain,
( multiply(multiply(X_29,multiply(X,inverse(X_29))),inverse(commutator(X,inverse(X_29)))) != inverse(inverse(X))
| multiply(X_29,multiply(X,inverse(multiply(commutator(X,inverse(X_29)),X_29)))) = inverse(inverse(X)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_29,multiply(X,inverse(X_29))),inverse(commutator(X,inverse(X_29)))),multiply(X_29,multiply(X,inverse(multiply(commutator(X,inverse(X_29)),X_29))))) )],[refute_0_2442,refute_0_2443]) ).
cnf(refute_0_2445,plain,
( multiply(X_29,multiply(X,inverse(multiply(commutator(X,inverse(X_29)),X_29)))) != inverse(inverse(X))
| inverse(inverse(X)) != X
| multiply(X_29,multiply(X,inverse(multiply(commutator(X,inverse(X_29)),X_29)))) = X ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_29,multiply(X,inverse(multiply(commutator(X,inverse(X_29)),X_29)))),X) ),[0],$fot(inverse(inverse(X)))]]) ).
cnf(refute_0_2446,plain,
( multiply(X_29,multiply(X,inverse(multiply(commutator(X,inverse(X_29)),X_29)))) != inverse(inverse(X))
| multiply(X_29,multiply(X,inverse(multiply(commutator(X,inverse(X_29)),X_29)))) = X ),
inference(resolve,[$cnf( $equal(inverse(inverse(X)),X) )],[refute_0_153,refute_0_2445]) ).
cnf(refute_0_2447,plain,
( multiply(multiply(X_29,multiply(X,inverse(X_29))),inverse(commutator(X,inverse(X_29)))) != inverse(inverse(X))
| multiply(X_29,multiply(X,inverse(multiply(commutator(X,inverse(X_29)),X_29)))) = X ),
inference(resolve,[$cnf( $equal(multiply(X_29,multiply(X,inverse(multiply(commutator(X,inverse(X_29)),X_29)))),inverse(inverse(X))) )],[refute_0_2444,refute_0_2446]) ).
cnf(refute_0_2448,plain,
multiply(X_29,multiply(X,inverse(multiply(commutator(X,inverse(X_29)),X_29)))) = X,
inference(resolve,[$cnf( $equal(multiply(multiply(X_29,multiply(X,inverse(X_29))),inverse(commutator(X,inverse(X_29)))),inverse(inverse(X))) )],[refute_0_2425,refute_0_2447]) ).
cnf(refute_0_2449,plain,
multiply(X_10,multiply(X_75,inverse(multiply(commutator(X_75,inverse(X_10)),X_10)))) = X_75,
inference(subst,[],[refute_0_2448:[bind(X,$fot(X_75)),bind(X_29,$fot(X_10))]]) ).
cnf(refute_0_2450,plain,
( multiply(X_10,multiply(X_75,inverse(multiply(commutator(X_75,inverse(X_10)),X_10)))) != X_75
| multiply(X_75,inverse(multiply(commutator(X_75,inverse(X_10)),X_10))) != multiply(inverse(X_10),multiply(X_10,multiply(X_75,inverse(multiply(commutator(X_75,inverse(X_10)),X_10)))))
| multiply(X_75,inverse(multiply(commutator(X_75,inverse(X_10)),X_10))) = multiply(inverse(X_10),X_75) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_75,inverse(multiply(commutator(X_75,inverse(X_10)),X_10))),multiply(inverse(X_10),multiply(X_10,multiply(X_75,inverse(multiply(commutator(X_75,inverse(X_10)),X_10)))))) ),[1,1],$fot(X_75)]]) ).
cnf(refute_0_2451,plain,
( multiply(X_75,inverse(multiply(commutator(X_75,inverse(X_10)),X_10))) != multiply(inverse(X_10),multiply(X_10,multiply(X_75,inverse(multiply(commutator(X_75,inverse(X_10)),X_10)))))
| multiply(X_75,inverse(multiply(commutator(X_75,inverse(X_10)),X_10))) = multiply(inverse(X_10),X_75) ),
inference(resolve,[$cnf( $equal(multiply(X_10,multiply(X_75,inverse(multiply(commutator(X_75,inverse(X_10)),X_10)))),X_75) )],[refute_0_2449,refute_0_2450]) ).
cnf(refute_0_2452,plain,
multiply(X_75,inverse(multiply(commutator(X_75,inverse(X_10)),X_10))) = multiply(inverse(X_10),X_75),
inference(resolve,[$cnf( $equal(multiply(X_75,inverse(multiply(commutator(X_75,inverse(X_10)),X_10))),multiply(inverse(X_10),multiply(X_10,multiply(X_75,inverse(multiply(commutator(X_75,inverse(X_10)),X_10)))))) )],[refute_0_2419,refute_0_2451]) ).
cnf(refute_0_2453,plain,
multiply(commutator(inverse(X_90),Z),inverse(X_90)) = inverse(multiply(commutator(inverse(X_90),commutator(inverse(X_90),Z)),multiply(inverse(commutator(inverse(X_90),Z)),X_90))),
inference(subst,[],[refute_0_335:[bind(X,$fot(commutator(inverse(X_90),Z))),bind(X_51,$fot(X_90))]]) ).
cnf(refute_0_2454,plain,
identity = commutator(inverse(X_90),commutator(inverse(X_90),Z)),
inference(subst,[],[refute_0_1076:[bind(Y,$fot(inverse(X_90)))]]) ).
cnf(refute_0_2455,plain,
( identity != commutator(inverse(X_90),commutator(inverse(X_90),Z))
| commutator(inverse(X_90),commutator(inverse(X_90),Z)) = identity ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(identity)),bind(Y0,$fot(commutator(inverse(X_90),commutator(inverse(X_90),Z))))]]) ).
cnf(refute_0_2456,plain,
commutator(inverse(X_90),commutator(inverse(X_90),Z)) = identity,
inference(resolve,[$cnf( $equal(identity,commutator(inverse(X_90),commutator(inverse(X_90),Z))) )],[refute_0_2454,refute_0_2455]) ).
cnf(refute_0_2457,plain,
( multiply(commutator(inverse(X_90),Z),inverse(X_90)) != inverse(multiply(commutator(inverse(X_90),commutator(inverse(X_90),Z)),multiply(inverse(commutator(inverse(X_90),Z)),X_90)))
| commutator(inverse(X_90),commutator(inverse(X_90),Z)) != identity
| multiply(commutator(inverse(X_90),Z),inverse(X_90)) = inverse(multiply(identity,multiply(inverse(commutator(inverse(X_90),Z)),X_90))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(inverse(X_90),Z),inverse(X_90)),inverse(multiply(commutator(inverse(X_90),commutator(inverse(X_90),Z)),multiply(inverse(commutator(inverse(X_90),Z)),X_90)))) ),[1,0,0],$fot(identity)]]) ).
cnf(refute_0_2458,plain,
( multiply(commutator(inverse(X_90),Z),inverse(X_90)) != inverse(multiply(commutator(inverse(X_90),commutator(inverse(X_90),Z)),multiply(inverse(commutator(inverse(X_90),Z)),X_90)))
| multiply(commutator(inverse(X_90),Z),inverse(X_90)) = inverse(multiply(identity,multiply(inverse(commutator(inverse(X_90),Z)),X_90))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_90),commutator(inverse(X_90),Z)),identity) )],[refute_0_2456,refute_0_2457]) ).
cnf(refute_0_2459,plain,
multiply(commutator(inverse(X_90),Z),inverse(X_90)) = inverse(multiply(identity,multiply(inverse(commutator(inverse(X_90),Z)),X_90))),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(X_90),Z),inverse(X_90)),inverse(multiply(commutator(inverse(X_90),commutator(inverse(X_90),Z)),multiply(inverse(commutator(inverse(X_90),Z)),X_90)))) )],[refute_0_2453,refute_0_2458]) ).
cnf(refute_0_2460,plain,
multiply(commutator(inverse(X_90),Z),inverse(X_90)) = inverse(multiply(X_90,commutator(Z,inverse(X_90)))),
inference(subst,[],[refute_0_378:[bind(X_58,$fot(X_90)),bind(X_65,$fot(inverse(X_90))),bind(X_66,$fot(Z))]]) ).
cnf(refute_0_2461,plain,
( multiply(commutator(inverse(X_90),Z),inverse(X_90)) != inverse(multiply(X_90,commutator(Z,inverse(X_90))))
| multiply(commutator(inverse(X_90),Z),inverse(X_90)) != inverse(multiply(identity,multiply(inverse(commutator(inverse(X_90),Z)),X_90)))
| inverse(multiply(X_90,commutator(Z,inverse(X_90)))) = inverse(multiply(identity,multiply(inverse(commutator(inverse(X_90),Z)),X_90))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(inverse(X_90),Z),inverse(X_90)),inverse(multiply(identity,multiply(inverse(commutator(inverse(X_90),Z)),X_90)))) ),[0],$fot(inverse(multiply(X_90,commutator(Z,inverse(X_90)))))]]) ).
cnf(refute_0_2462,plain,
( multiply(commutator(inverse(X_90),Z),inverse(X_90)) != inverse(multiply(identity,multiply(inverse(commutator(inverse(X_90),Z)),X_90)))
| inverse(multiply(X_90,commutator(Z,inverse(X_90)))) = inverse(multiply(identity,multiply(inverse(commutator(inverse(X_90),Z)),X_90))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(X_90),Z),inverse(X_90)),inverse(multiply(X_90,commutator(Z,inverse(X_90))))) )],[refute_0_2460,refute_0_2461]) ).
cnf(refute_0_2463,plain,
inverse(commutator(inverse(X_90),Z)) = commutator(Z,inverse(X_90)),
inference(subst,[],[refute_0_386:[bind(X,$fot(Z)),bind(Y,$fot(inverse(X_90)))]]) ).
cnf(refute_0_2464,plain,
multiply(inverse(commutator(inverse(X_90),Z)),X_90) = multiply(inverse(commutator(inverse(X_90),Z)),X_90),
introduced(tautology,[refl,[$fot(multiply(inverse(commutator(inverse(X_90),Z)),X_90))]]) ).
cnf(refute_0_2465,plain,
( multiply(inverse(commutator(inverse(X_90),Z)),X_90) != multiply(inverse(commutator(inverse(X_90),Z)),X_90)
| inverse(commutator(inverse(X_90),Z)) != commutator(Z,inverse(X_90))
| multiply(inverse(commutator(inverse(X_90),Z)),X_90) = multiply(commutator(Z,inverse(X_90)),X_90) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(commutator(inverse(X_90),Z)),X_90),multiply(inverse(commutator(inverse(X_90),Z)),X_90)) ),[1,0],$fot(commutator(Z,inverse(X_90)))]]) ).
cnf(refute_0_2466,plain,
( inverse(commutator(inverse(X_90),Z)) != commutator(Z,inverse(X_90))
| multiply(inverse(commutator(inverse(X_90),Z)),X_90) = multiply(commutator(Z,inverse(X_90)),X_90) ),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(inverse(X_90),Z)),X_90),multiply(inverse(commutator(inverse(X_90),Z)),X_90)) )],[refute_0_2464,refute_0_2465]) ).
cnf(refute_0_2467,plain,
multiply(inverse(commutator(inverse(X_90),Z)),X_90) = multiply(commutator(Z,inverse(X_90)),X_90),
inference(resolve,[$cnf( $equal(inverse(commutator(inverse(X_90),Z)),commutator(Z,inverse(X_90))) )],[refute_0_2463,refute_0_2466]) ).
cnf(refute_0_2468,plain,
multiply(identity,multiply(inverse(commutator(inverse(X_90),Z)),X_90)) = multiply(inverse(commutator(inverse(X_90),Z)),X_90),
inference(subst,[],[left_identity:[bind(X,$fot(multiply(inverse(commutator(inverse(X_90),Z)),X_90)))]]) ).
cnf(refute_0_2469,plain,
( multiply(identity,multiply(inverse(commutator(inverse(X_90),Z)),X_90)) != multiply(inverse(commutator(inverse(X_90),Z)),X_90)
| multiply(inverse(commutator(inverse(X_90),Z)),X_90) != multiply(commutator(Z,inverse(X_90)),X_90)
| multiply(identity,multiply(inverse(commutator(inverse(X_90),Z)),X_90)) = multiply(commutator(Z,inverse(X_90)),X_90) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(identity,multiply(inverse(commutator(inverse(X_90),Z)),X_90)))),bind(Y0,$fot(multiply(inverse(commutator(inverse(X_90),Z)),X_90))),bind(Z0,$fot(multiply(commutator(Z,inverse(X_90)),X_90)))]]) ).
cnf(refute_0_2470,plain,
( multiply(inverse(commutator(inverse(X_90),Z)),X_90) != multiply(commutator(Z,inverse(X_90)),X_90)
| multiply(identity,multiply(inverse(commutator(inverse(X_90),Z)),X_90)) = multiply(commutator(Z,inverse(X_90)),X_90) ),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(inverse(commutator(inverse(X_90),Z)),X_90)),multiply(inverse(commutator(inverse(X_90),Z)),X_90)) )],[refute_0_2468,refute_0_2469]) ).
cnf(refute_0_2471,plain,
multiply(identity,multiply(inverse(commutator(inverse(X_90),Z)),X_90)) = multiply(commutator(Z,inverse(X_90)),X_90),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(inverse(X_90),Z)),X_90),multiply(commutator(Z,inverse(X_90)),X_90)) )],[refute_0_2467,refute_0_2470]) ).
cnf(refute_0_2472,plain,
inverse(multiply(identity,multiply(inverse(commutator(inverse(X_90),Z)),X_90))) = inverse(multiply(identity,multiply(inverse(commutator(inverse(X_90),Z)),X_90))),
introduced(tautology,[refl,[$fot(inverse(multiply(identity,multiply(inverse(commutator(inverse(X_90),Z)),X_90))))]]) ).
cnf(refute_0_2473,plain,
( multiply(identity,multiply(inverse(commutator(inverse(X_90),Z)),X_90)) != multiply(commutator(Z,inverse(X_90)),X_90)
| inverse(multiply(identity,multiply(inverse(commutator(inverse(X_90),Z)),X_90))) != inverse(multiply(identity,multiply(inverse(commutator(inverse(X_90),Z)),X_90)))
| inverse(multiply(identity,multiply(inverse(commutator(inverse(X_90),Z)),X_90))) = inverse(multiply(commutator(Z,inverse(X_90)),X_90)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(identity,multiply(inverse(commutator(inverse(X_90),Z)),X_90))),inverse(multiply(identity,multiply(inverse(commutator(inverse(X_90),Z)),X_90)))) ),[1,0],$fot(multiply(commutator(Z,inverse(X_90)),X_90))]]) ).
cnf(refute_0_2474,plain,
( multiply(identity,multiply(inverse(commutator(inverse(X_90),Z)),X_90)) != multiply(commutator(Z,inverse(X_90)),X_90)
| inverse(multiply(identity,multiply(inverse(commutator(inverse(X_90),Z)),X_90))) = inverse(multiply(commutator(Z,inverse(X_90)),X_90)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(identity,multiply(inverse(commutator(inverse(X_90),Z)),X_90))),inverse(multiply(identity,multiply(inverse(commutator(inverse(X_90),Z)),X_90)))) )],[refute_0_2472,refute_0_2473]) ).
cnf(refute_0_2475,plain,
inverse(multiply(identity,multiply(inverse(commutator(inverse(X_90),Z)),X_90))) = inverse(multiply(commutator(Z,inverse(X_90)),X_90)),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(inverse(commutator(inverse(X_90),Z)),X_90)),multiply(commutator(Z,inverse(X_90)),X_90)) )],[refute_0_2471,refute_0_2474]) ).
cnf(refute_0_2476,plain,
( inverse(multiply(X_90,commutator(Z,inverse(X_90)))) != inverse(multiply(identity,multiply(inverse(commutator(inverse(X_90),Z)),X_90)))
| inverse(multiply(identity,multiply(inverse(commutator(inverse(X_90),Z)),X_90))) != inverse(multiply(commutator(Z,inverse(X_90)),X_90))
| inverse(multiply(X_90,commutator(Z,inverse(X_90)))) = inverse(multiply(commutator(Z,inverse(X_90)),X_90)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(inverse(multiply(X_90,commutator(Z,inverse(X_90)))),inverse(multiply(commutator(Z,inverse(X_90)),X_90))) ),[0],$fot(inverse(multiply(identity,multiply(inverse(commutator(inverse(X_90),Z)),X_90))))]]) ).
cnf(refute_0_2477,plain,
( inverse(multiply(X_90,commutator(Z,inverse(X_90)))) != inverse(multiply(identity,multiply(inverse(commutator(inverse(X_90),Z)),X_90)))
| inverse(multiply(X_90,commutator(Z,inverse(X_90)))) = inverse(multiply(commutator(Z,inverse(X_90)),X_90)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(identity,multiply(inverse(commutator(inverse(X_90),Z)),X_90))),inverse(multiply(commutator(Z,inverse(X_90)),X_90))) )],[refute_0_2475,refute_0_2476]) ).
cnf(refute_0_2478,plain,
( multiply(commutator(inverse(X_90),Z),inverse(X_90)) != inverse(multiply(identity,multiply(inverse(commutator(inverse(X_90),Z)),X_90)))
| inverse(multiply(X_90,commutator(Z,inverse(X_90)))) = inverse(multiply(commutator(Z,inverse(X_90)),X_90)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_90,commutator(Z,inverse(X_90)))),inverse(multiply(identity,multiply(inverse(commutator(inverse(X_90),Z)),X_90)))) )],[refute_0_2462,refute_0_2477]) ).
cnf(refute_0_2479,plain,
inverse(multiply(X_90,commutator(Z,inverse(X_90)))) = inverse(multiply(commutator(Z,inverse(X_90)),X_90)),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(X_90),Z),inverse(X_90)),inverse(multiply(identity,multiply(inverse(commutator(inverse(X_90),Z)),X_90)))) )],[refute_0_2459,refute_0_2478]) ).
cnf(refute_0_2480,plain,
( inverse(multiply(X_90,commutator(Z,inverse(X_90)))) != inverse(multiply(commutator(Z,inverse(X_90)),X_90))
| inverse(multiply(commutator(Z,inverse(X_90)),X_90)) = inverse(multiply(X_90,commutator(Z,inverse(X_90)))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(inverse(multiply(X_90,commutator(Z,inverse(X_90)))))),bind(Y0,$fot(inverse(multiply(commutator(Z,inverse(X_90)),X_90))))]]) ).
cnf(refute_0_2481,plain,
inverse(multiply(commutator(Z,inverse(X_90)),X_90)) = inverse(multiply(X_90,commutator(Z,inverse(X_90)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_90,commutator(Z,inverse(X_90)))),inverse(multiply(commutator(Z,inverse(X_90)),X_90))) )],[refute_0_2479,refute_0_2480]) ).
cnf(refute_0_2482,plain,
inverse(multiply(commutator(X_75,inverse(X_10)),X_10)) = inverse(multiply(X_10,commutator(X_75,inverse(X_10)))),
inference(subst,[],[refute_0_2481:[bind(Z,$fot(X_75)),bind(X_90,$fot(X_10))]]) ).
cnf(refute_0_2483,plain,
multiply(X_75,inverse(multiply(commutator(X_75,inverse(X_10)),X_10))) = multiply(X_75,inverse(multiply(commutator(X_75,inverse(X_10)),X_10))),
introduced(tautology,[refl,[$fot(multiply(X_75,inverse(multiply(commutator(X_75,inverse(X_10)),X_10))))]]) ).
cnf(refute_0_2484,plain,
( multiply(X_75,inverse(multiply(commutator(X_75,inverse(X_10)),X_10))) != multiply(X_75,inverse(multiply(commutator(X_75,inverse(X_10)),X_10)))
| inverse(multiply(commutator(X_75,inverse(X_10)),X_10)) != inverse(multiply(X_10,commutator(X_75,inverse(X_10))))
| multiply(X_75,inverse(multiply(commutator(X_75,inverse(X_10)),X_10))) = multiply(X_75,inverse(multiply(X_10,commutator(X_75,inverse(X_10))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_75,inverse(multiply(commutator(X_75,inverse(X_10)),X_10))),multiply(X_75,inverse(multiply(commutator(X_75,inverse(X_10)),X_10)))) ),[1,1],$fot(inverse(multiply(X_10,commutator(X_75,inverse(X_10)))))]]) ).
cnf(refute_0_2485,plain,
( inverse(multiply(commutator(X_75,inverse(X_10)),X_10)) != inverse(multiply(X_10,commutator(X_75,inverse(X_10))))
| multiply(X_75,inverse(multiply(commutator(X_75,inverse(X_10)),X_10))) = multiply(X_75,inverse(multiply(X_10,commutator(X_75,inverse(X_10))))) ),
inference(resolve,[$cnf( $equal(multiply(X_75,inverse(multiply(commutator(X_75,inverse(X_10)),X_10))),multiply(X_75,inverse(multiply(commutator(X_75,inverse(X_10)),X_10)))) )],[refute_0_2483,refute_0_2484]) ).
cnf(refute_0_2486,plain,
multiply(X_75,inverse(multiply(commutator(X_75,inverse(X_10)),X_10))) = multiply(X_75,inverse(multiply(X_10,commutator(X_75,inverse(X_10))))),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_75,inverse(X_10)),X_10)),inverse(multiply(X_10,commutator(X_75,inverse(X_10))))) )],[refute_0_2482,refute_0_2485]) ).
cnf(refute_0_2487,plain,
( multiply(X_75,inverse(multiply(commutator(X_75,inverse(X_10)),X_10))) != multiply(X_75,inverse(multiply(X_10,commutator(X_75,inverse(X_10)))))
| multiply(X_75,inverse(multiply(commutator(X_75,inverse(X_10)),X_10))) != multiply(inverse(X_10),X_75)
| multiply(X_75,inverse(multiply(X_10,commutator(X_75,inverse(X_10))))) = multiply(inverse(X_10),X_75) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_75,inverse(multiply(commutator(X_75,inverse(X_10)),X_10))),multiply(inverse(X_10),X_75)) ),[0],$fot(multiply(X_75,inverse(multiply(X_10,commutator(X_75,inverse(X_10))))))]]) ).
cnf(refute_0_2488,plain,
( multiply(X_75,inverse(multiply(commutator(X_75,inverse(X_10)),X_10))) != multiply(inverse(X_10),X_75)
| multiply(X_75,inverse(multiply(X_10,commutator(X_75,inverse(X_10))))) = multiply(inverse(X_10),X_75) ),
inference(resolve,[$cnf( $equal(multiply(X_75,inverse(multiply(commutator(X_75,inverse(X_10)),X_10))),multiply(X_75,inverse(multiply(X_10,commutator(X_75,inverse(X_10)))))) )],[refute_0_2486,refute_0_2487]) ).
cnf(refute_0_2489,plain,
multiply(X_75,inverse(multiply(X_10,commutator(X_75,inverse(X_10))))) = multiply(inverse(X_10),X_75),
inference(resolve,[$cnf( $equal(multiply(X_75,inverse(multiply(commutator(X_75,inverse(X_10)),X_10))),multiply(inverse(X_10),X_75)) )],[refute_0_2452,refute_0_2488]) ).
cnf(refute_0_2490,plain,
commutator(X_75,inverse(X_10)) = commutator(X_10,X_75),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(X_10)),bind(X_110,$fot(X_75))]]) ).
cnf(refute_0_2491,plain,
multiply(X_10,commutator(X_75,inverse(X_10))) = multiply(X_10,commutator(X_75,inverse(X_10))),
introduced(tautology,[refl,[$fot(multiply(X_10,commutator(X_75,inverse(X_10))))]]) ).
cnf(refute_0_2492,plain,
( multiply(X_10,commutator(X_75,inverse(X_10))) != multiply(X_10,commutator(X_75,inverse(X_10)))
| commutator(X_75,inverse(X_10)) != commutator(X_10,X_75)
| multiply(X_10,commutator(X_75,inverse(X_10))) = multiply(X_10,commutator(X_10,X_75)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_10,commutator(X_75,inverse(X_10))),multiply(X_10,commutator(X_75,inverse(X_10)))) ),[1,1],$fot(commutator(X_10,X_75))]]) ).
cnf(refute_0_2493,plain,
( commutator(X_75,inverse(X_10)) != commutator(X_10,X_75)
| multiply(X_10,commutator(X_75,inverse(X_10))) = multiply(X_10,commutator(X_10,X_75)) ),
inference(resolve,[$cnf( $equal(multiply(X_10,commutator(X_75,inverse(X_10))),multiply(X_10,commutator(X_75,inverse(X_10)))) )],[refute_0_2491,refute_0_2492]) ).
cnf(refute_0_2494,plain,
multiply(X_10,commutator(X_75,inverse(X_10))) = multiply(X_10,commutator(X_10,X_75)),
inference(resolve,[$cnf( $equal(commutator(X_75,inverse(X_10)),commutator(X_10,X_75)) )],[refute_0_2490,refute_0_2493]) ).
cnf(refute_0_2495,plain,
inverse(multiply(X_10,commutator(X_75,inverse(X_10)))) = inverse(multiply(X_10,commutator(X_75,inverse(X_10)))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_10,commutator(X_75,inverse(X_10)))))]]) ).
cnf(refute_0_2496,plain,
( multiply(X_10,commutator(X_75,inverse(X_10))) != multiply(X_10,commutator(X_10,X_75))
| inverse(multiply(X_10,commutator(X_75,inverse(X_10)))) != inverse(multiply(X_10,commutator(X_75,inverse(X_10))))
| inverse(multiply(X_10,commutator(X_75,inverse(X_10)))) = inverse(multiply(X_10,commutator(X_10,X_75))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_10,commutator(X_75,inverse(X_10)))),inverse(multiply(X_10,commutator(X_75,inverse(X_10))))) ),[1,0],$fot(multiply(X_10,commutator(X_10,X_75)))]]) ).
cnf(refute_0_2497,plain,
( multiply(X_10,commutator(X_75,inverse(X_10))) != multiply(X_10,commutator(X_10,X_75))
| inverse(multiply(X_10,commutator(X_75,inverse(X_10)))) = inverse(multiply(X_10,commutator(X_10,X_75))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,commutator(X_75,inverse(X_10)))),inverse(multiply(X_10,commutator(X_75,inverse(X_10))))) )],[refute_0_2495,refute_0_2496]) ).
cnf(refute_0_2498,plain,
inverse(multiply(X_10,commutator(X_75,inverse(X_10)))) = inverse(multiply(X_10,commutator(X_10,X_75))),
inference(resolve,[$cnf( $equal(multiply(X_10,commutator(X_75,inverse(X_10))),multiply(X_10,commutator(X_10,X_75))) )],[refute_0_2494,refute_0_2497]) ).
cnf(refute_0_2499,plain,
multiply(X_75,inverse(multiply(X_10,commutator(X_75,inverse(X_10))))) = multiply(X_75,inverse(multiply(X_10,commutator(X_75,inverse(X_10))))),
introduced(tautology,[refl,[$fot(multiply(X_75,inverse(multiply(X_10,commutator(X_75,inverse(X_10))))))]]) ).
cnf(refute_0_2500,plain,
( multiply(X_75,inverse(multiply(X_10,commutator(X_75,inverse(X_10))))) != multiply(X_75,inverse(multiply(X_10,commutator(X_75,inverse(X_10)))))
| inverse(multiply(X_10,commutator(X_75,inverse(X_10)))) != inverse(multiply(X_10,commutator(X_10,X_75)))
| multiply(X_75,inverse(multiply(X_10,commutator(X_75,inverse(X_10))))) = multiply(X_75,inverse(multiply(X_10,commutator(X_10,X_75)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_75,inverse(multiply(X_10,commutator(X_75,inverse(X_10))))),multiply(X_75,inverse(multiply(X_10,commutator(X_75,inverse(X_10)))))) ),[1,1],$fot(inverse(multiply(X_10,commutator(X_10,X_75))))]]) ).
cnf(refute_0_2501,plain,
( inverse(multiply(X_10,commutator(X_75,inverse(X_10)))) != inverse(multiply(X_10,commutator(X_10,X_75)))
| multiply(X_75,inverse(multiply(X_10,commutator(X_75,inverse(X_10))))) = multiply(X_75,inverse(multiply(X_10,commutator(X_10,X_75)))) ),
inference(resolve,[$cnf( $equal(multiply(X_75,inverse(multiply(X_10,commutator(X_75,inverse(X_10))))),multiply(X_75,inverse(multiply(X_10,commutator(X_75,inverse(X_10)))))) )],[refute_0_2499,refute_0_2500]) ).
cnf(refute_0_2502,plain,
multiply(X_75,inverse(multiply(X_10,commutator(X_75,inverse(X_10))))) = multiply(X_75,inverse(multiply(X_10,commutator(X_10,X_75)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,commutator(X_75,inverse(X_10)))),inverse(multiply(X_10,commutator(X_10,X_75)))) )],[refute_0_2498,refute_0_2501]) ).
cnf(refute_0_2503,plain,
( multiply(X_75,inverse(multiply(X_10,commutator(X_75,inverse(X_10))))) != multiply(X_75,inverse(multiply(X_10,commutator(X_10,X_75))))
| multiply(X_75,inverse(multiply(X_10,commutator(X_75,inverse(X_10))))) != multiply(inverse(X_10),X_75)
| multiply(X_75,inverse(multiply(X_10,commutator(X_10,X_75)))) = multiply(inverse(X_10),X_75) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_75,inverse(multiply(X_10,commutator(X_75,inverse(X_10))))),multiply(inverse(X_10),X_75)) ),[0],$fot(multiply(X_75,inverse(multiply(X_10,commutator(X_10,X_75)))))]]) ).
cnf(refute_0_2504,plain,
( multiply(X_75,inverse(multiply(X_10,commutator(X_75,inverse(X_10))))) != multiply(inverse(X_10),X_75)
| multiply(X_75,inverse(multiply(X_10,commutator(X_10,X_75)))) = multiply(inverse(X_10),X_75) ),
inference(resolve,[$cnf( $equal(multiply(X_75,inverse(multiply(X_10,commutator(X_75,inverse(X_10))))),multiply(X_75,inverse(multiply(X_10,commutator(X_10,X_75))))) )],[refute_0_2502,refute_0_2503]) ).
cnf(refute_0_2505,plain,
multiply(X_75,inverse(multiply(X_10,commutator(X_10,X_75)))) = multiply(inverse(X_10),X_75),
inference(resolve,[$cnf( $equal(multiply(X_75,inverse(multiply(X_10,commutator(X_75,inverse(X_10))))),multiply(inverse(X_10),X_75)) )],[refute_0_2489,refute_0_2504]) ).
cnf(refute_0_2506,plain,
multiply(X_128,inverse(multiply(X_320,commutator(X_320,X_128)))) = multiply(inverse(X_320),X_128),
inference(subst,[],[refute_0_2505:[bind(X_10,$fot(X_320)),bind(X_75,$fot(X_128))]]) ).
cnf(refute_0_2507,plain,
multiply(commutator(X_128,X_320),inverse(X_320)) = inverse(multiply(X_320,commutator(X_320,X_128))),
inference(subst,[],[refute_0_378:[bind(X_58,$fot(X_320)),bind(X_65,$fot(X_128)),bind(X_66,$fot(X_320))]]) ).
cnf(refute_0_2508,plain,
multiply(X_128,multiply(commutator(X_128,X_320),inverse(X_320))) = multiply(X_128,multiply(commutator(X_128,X_320),inverse(X_320))),
introduced(tautology,[refl,[$fot(multiply(X_128,multiply(commutator(X_128,X_320),inverse(X_320))))]]) ).
cnf(refute_0_2509,plain,
( multiply(X_128,multiply(commutator(X_128,X_320),inverse(X_320))) != multiply(X_128,multiply(commutator(X_128,X_320),inverse(X_320)))
| multiply(commutator(X_128,X_320),inverse(X_320)) != inverse(multiply(X_320,commutator(X_320,X_128)))
| multiply(X_128,multiply(commutator(X_128,X_320),inverse(X_320))) = multiply(X_128,inverse(multiply(X_320,commutator(X_320,X_128)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_128,multiply(commutator(X_128,X_320),inverse(X_320))),multiply(X_128,multiply(commutator(X_128,X_320),inverse(X_320)))) ),[1,1],$fot(inverse(multiply(X_320,commutator(X_320,X_128))))]]) ).
cnf(refute_0_2510,plain,
( multiply(commutator(X_128,X_320),inverse(X_320)) != inverse(multiply(X_320,commutator(X_320,X_128)))
| multiply(X_128,multiply(commutator(X_128,X_320),inverse(X_320))) = multiply(X_128,inverse(multiply(X_320,commutator(X_320,X_128)))) ),
inference(resolve,[$cnf( $equal(multiply(X_128,multiply(commutator(X_128,X_320),inverse(X_320))),multiply(X_128,multiply(commutator(X_128,X_320),inverse(X_320)))) )],[refute_0_2508,refute_0_2509]) ).
cnf(refute_0_2511,plain,
multiply(X_128,multiply(commutator(X_128,X_320),inverse(X_320))) = multiply(X_128,inverse(multiply(X_320,commutator(X_320,X_128)))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_128,X_320),inverse(X_320)),inverse(multiply(X_320,commutator(X_320,X_128)))) )],[refute_0_2507,refute_0_2510]) ).
cnf(refute_0_2512,plain,
( multiply(X_128,multiply(commutator(X_128,X_320),inverse(X_320))) != multiply(X_128,inverse(multiply(X_320,commutator(X_320,X_128))))
| multiply(X_128,inverse(multiply(X_320,commutator(X_320,X_128)))) != multiply(inverse(X_320),X_128)
| multiply(X_128,multiply(commutator(X_128,X_320),inverse(X_320))) = multiply(inverse(X_320),X_128) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_128,multiply(commutator(X_128,X_320),inverse(X_320))))),bind(Y0,$fot(multiply(X_128,inverse(multiply(X_320,commutator(X_320,X_128)))))),bind(Z0,$fot(multiply(inverse(X_320),X_128)))]]) ).
cnf(refute_0_2513,plain,
( multiply(X_128,inverse(multiply(X_320,commutator(X_320,X_128)))) != multiply(inverse(X_320),X_128)
| multiply(X_128,multiply(commutator(X_128,X_320),inverse(X_320))) = multiply(inverse(X_320),X_128) ),
inference(resolve,[$cnf( $equal(multiply(X_128,multiply(commutator(X_128,X_320),inverse(X_320))),multiply(X_128,inverse(multiply(X_320,commutator(X_320,X_128))))) )],[refute_0_2511,refute_0_2512]) ).
cnf(refute_0_2514,plain,
multiply(X_128,multiply(commutator(X_128,X_320),inverse(X_320))) = multiply(inverse(X_320),X_128),
inference(resolve,[$cnf( $equal(multiply(X_128,inverse(multiply(X_320,commutator(X_320,X_128)))),multiply(inverse(X_320),X_128)) )],[refute_0_2506,refute_0_2513]) ).
cnf(refute_0_2515,plain,
multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320)) = multiply(X_128,multiply(commutator(X_128,X_320),inverse(X_320))),
inference(subst,[],[associativity:[bind(X,$fot(X_128)),bind(Y,$fot(commutator(X_128,X_320))),bind(Z,$fot(inverse(X_320)))]]) ).
cnf(refute_0_2516,plain,
( multiply(X_128,multiply(commutator(X_128,X_320),inverse(X_320))) != multiply(inverse(X_320),X_128)
| multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320)) != multiply(X_128,multiply(commutator(X_128,X_320),inverse(X_320)))
| multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320)) = multiply(inverse(X_320),X_128) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320)))),bind(Y0,$fot(multiply(X_128,multiply(commutator(X_128,X_320),inverse(X_320))))),bind(Z0,$fot(multiply(inverse(X_320),X_128)))]]) ).
cnf(refute_0_2517,plain,
( multiply(X_128,multiply(commutator(X_128,X_320),inverse(X_320))) != multiply(inverse(X_320),X_128)
| multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320)) = multiply(inverse(X_320),X_128) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320)),multiply(X_128,multiply(commutator(X_128,X_320),inverse(X_320)))) )],[refute_0_2515,refute_0_2516]) ).
cnf(refute_0_2518,plain,
multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320)) = multiply(inverse(X_320),X_128),
inference(resolve,[$cnf( $equal(multiply(X_128,multiply(commutator(X_128,X_320),inverse(X_320))),multiply(inverse(X_320),X_128)) )],[refute_0_2514,refute_0_2517]) ).
cnf(refute_0_2519,plain,
multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))) = multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),
introduced(tautology,[refl,[$fot(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))))]]) ).
cnf(refute_0_2520,plain,
( multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))) != multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320)))
| multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320)) != multiply(inverse(X_320),X_128)
| multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))) = multiply(X_320,multiply(inverse(X_320),X_128)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320)))) ),[1,1],$fot(multiply(inverse(X_320),X_128))]]) ).
cnf(refute_0_2521,plain,
( multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320)) != multiply(inverse(X_320),X_128)
| multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))) = multiply(X_320,multiply(inverse(X_320),X_128)) ),
inference(resolve,[$cnf( $equal(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320)))) )],[refute_0_2519,refute_0_2520]) ).
cnf(refute_0_2522,plain,
multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))) = multiply(X_320,multiply(inverse(X_320),X_128)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320)),multiply(inverse(X_320),X_128)) )],[refute_0_2518,refute_0_2521]) ).
cnf(refute_0_2523,plain,
( multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))) != multiply(X_320,multiply(inverse(X_320),X_128))
| multiply(X_320,multiply(inverse(X_320),X_128)) != X_128
| multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))) = X_128 ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))))),bind(Y0,$fot(multiply(X_320,multiply(inverse(X_320),X_128)))),bind(Z0,$fot(X_128))]]) ).
cnf(refute_0_2524,plain,
( multiply(X_320,multiply(inverse(X_320),X_128)) != X_128
| multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))) = X_128 ),
inference(resolve,[$cnf( $equal(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),multiply(X_320,multiply(inverse(X_320),X_128))) )],[refute_0_2522,refute_0_2523]) ).
cnf(refute_0_2525,plain,
multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))) = X_128,
inference(resolve,[$cnf( $equal(multiply(X_320,multiply(inverse(X_320),X_128)),X_128) )],[refute_0_2418,refute_0_2524]) ).
cnf(refute_0_2526,plain,
commutator(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320))) = commutator(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320))),
introduced(tautology,[refl,[$fot(commutator(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320))))]]) ).
cnf(refute_0_2527,plain,
( multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))) != X_128
| commutator(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320))) != commutator(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320)))
| commutator(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320))) = commutator(X_128,multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320))),commutator(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320)))) ),[1,0],$fot(X_128)]]) ).
cnf(refute_0_2528,plain,
( multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))) != X_128
| commutator(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320))) = commutator(X_128,multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320))),commutator(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320)))) )],[refute_0_2526,refute_0_2527]) ).
cnf(refute_0_2529,plain,
commutator(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320))) = commutator(X_128,multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320))),
inference(resolve,[$cnf( $equal(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),X_128) )],[refute_0_2525,refute_0_2528]) ).
cnf(refute_0_2530,plain,
( commutator(X_128,multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320))) != commutator(X_128,multiply(X_128,multiply(commutator(X_128,X_320),commutator(X_128,X_320))))
| commutator(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320))) != commutator(X_128,multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320)))
| commutator(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320))) = commutator(X_128,multiply(X_128,multiply(commutator(X_128,X_320),commutator(X_128,X_320)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320))))),bind(Y0,$fot(commutator(X_128,multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320))))),bind(Z0,$fot(commutator(X_128,multiply(X_128,multiply(commutator(X_128,X_320),commutator(X_128,X_320))))))]]) ).
cnf(refute_0_2531,plain,
( commutator(X_128,multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320))) != commutator(X_128,multiply(X_128,multiply(commutator(X_128,X_320),commutator(X_128,X_320))))
| commutator(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320))) = commutator(X_128,multiply(X_128,multiply(commutator(X_128,X_320),commutator(X_128,X_320)))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320))),commutator(X_128,multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320)))) )],[refute_0_2529,refute_0_2530]) ).
cnf(refute_0_2532,plain,
commutator(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320))) = commutator(X_128,multiply(X_128,multiply(commutator(X_128,X_320),commutator(X_128,X_320)))),
inference(resolve,[$cnf( $equal(commutator(X_128,multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320))),commutator(X_128,multiply(X_128,multiply(commutator(X_128,X_320),commutator(X_128,X_320))))) )],[refute_0_2417,refute_0_2531]) ).
cnf(refute_0_2533,plain,
( commutator(X_128,multiply(X_128,multiply(commutator(X_128,X_320),commutator(X_128,X_320)))) != commutator(X_128,multiply(commutator(X_128,X_320),commutator(X_128,X_320)))
| commutator(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320))) != commutator(X_128,multiply(X_128,multiply(commutator(X_128,X_320),commutator(X_128,X_320))))
| commutator(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320))) = commutator(X_128,multiply(commutator(X_128,X_320),commutator(X_128,X_320))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320))))),bind(Y0,$fot(commutator(X_128,multiply(X_128,multiply(commutator(X_128,X_320),commutator(X_128,X_320)))))),bind(Z0,$fot(commutator(X_128,multiply(commutator(X_128,X_320),commutator(X_128,X_320)))))]]) ).
cnf(refute_0_2534,plain,
( commutator(X_128,multiply(X_128,multiply(commutator(X_128,X_320),commutator(X_128,X_320)))) != commutator(X_128,multiply(commutator(X_128,X_320),commutator(X_128,X_320)))
| commutator(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320))) = commutator(X_128,multiply(commutator(X_128,X_320),commutator(X_128,X_320))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320))),commutator(X_128,multiply(X_128,multiply(commutator(X_128,X_320),commutator(X_128,X_320))))) )],[refute_0_2532,refute_0_2533]) ).
cnf(refute_0_2535,plain,
commutator(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320))) = commutator(X_128,multiply(commutator(X_128,X_320),commutator(X_128,X_320))),
inference(resolve,[$cnf( $equal(commutator(X_128,multiply(X_128,multiply(commutator(X_128,X_320),commutator(X_128,X_320)))),commutator(X_128,multiply(commutator(X_128,X_320),commutator(X_128,X_320)))) )],[refute_0_2412,refute_0_2534]) ).
cnf(refute_0_2536,plain,
( commutator(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320))) != commutator(X_128,multiply(commutator(X_128,X_320),commutator(X_128,X_320)))
| identity != commutator(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320)))
| identity = commutator(X_128,multiply(commutator(X_128,X_320),commutator(X_128,X_320))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320)))) ),[1],$fot(commutator(X_128,multiply(commutator(X_128,X_320),commutator(X_128,X_320))))]]) ).
cnf(refute_0_2537,plain,
( identity != commutator(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320)))
| identity = commutator(X_128,multiply(commutator(X_128,X_320),commutator(X_128,X_320))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320))),commutator(X_128,multiply(commutator(X_128,X_320),commutator(X_128,X_320)))) )],[refute_0_2535,refute_0_2536]) ).
cnf(refute_0_2538,plain,
identity = commutator(X_128,multiply(commutator(X_128,X_320),commutator(X_128,X_320))),
inference(resolve,[$cnf( $equal(identity,commutator(multiply(X_320,multiply(multiply(X_128,commutator(X_128,X_320)),inverse(X_320))),multiply(multiply(X_128,commutator(X_128,X_320)),commutator(X_128,X_320)))) )],[refute_0_2411,refute_0_2537]) ).
cnf(refute_0_2539,plain,
identity = commutator(X_90,multiply(commutator(X_90,X_325),commutator(X_90,X_325))),
inference(subst,[],[refute_0_2538:[bind(X_128,$fot(X_90)),bind(X_320,$fot(X_325))]]) ).
cnf(refute_0_2540,plain,
( identity != commutator(X_90,multiply(commutator(X_90,X_325),commutator(X_90,X_325)))
| commutator(X_90,multiply(commutator(X_90,X_325),commutator(X_90,X_325))) = identity ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(identity)),bind(Y0,$fot(commutator(X_90,multiply(commutator(X_90,X_325),commutator(X_90,X_325)))))]]) ).
cnf(refute_0_2541,plain,
commutator(X_90,multiply(commutator(X_90,X_325),commutator(X_90,X_325))) = identity,
inference(resolve,[$cnf( $equal(identity,commutator(X_90,multiply(commutator(X_90,X_325),commutator(X_90,X_325)))) )],[refute_0_2539,refute_0_2540]) ).
cnf(refute_0_2542,plain,
( multiply(X_90,multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90))) != multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),commutator(X_90,multiply(commutator(X_90,X_325),commutator(X_90,X_325))))
| commutator(X_90,multiply(commutator(X_90,X_325),commutator(X_90,X_325))) != identity
| multiply(X_90,multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90))) = multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_90,multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90))),multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),commutator(X_90,multiply(commutator(X_90,X_325),commutator(X_90,X_325))))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_2543,plain,
( multiply(X_90,multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90))) != multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),commutator(X_90,multiply(commutator(X_90,X_325),commutator(X_90,X_325))))
| multiply(X_90,multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90))) = multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),identity) ),
inference(resolve,[$cnf( $equal(commutator(X_90,multiply(commutator(X_90,X_325),commutator(X_90,X_325))),identity) )],[refute_0_2541,refute_0_2542]) ).
cnf(refute_0_2544,plain,
multiply(X_90,multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90))) = multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),identity),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90))),multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),commutator(X_90,multiply(commutator(X_90,X_325),commutator(X_90,X_325))))) )],[refute_0_2282,refute_0_2543]) ).
cnf(refute_0_2545,plain,
inverse(commutator(X_325,multiply(X_90,X_90))) = commutator(multiply(X_90,X_90),X_325),
inference(subst,[],[refute_0_386:[bind(X,$fot(multiply(X_90,X_90))),bind(Y,$fot(X_325))]]) ).
cnf(refute_0_2546,plain,
multiply(X_90,inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90))) = inverse(commutator(X_325,multiply(X_90,X_90))),
inference(subst,[],[refute_0_176:[bind(X_10,$fot(commutator(X_325,multiply(X_90,X_90)))),bind(X_57,$fot(X_90))]]) ).
cnf(refute_0_2547,plain,
( multiply(X_90,inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90))) != inverse(commutator(X_325,multiply(X_90,X_90)))
| inverse(commutator(X_325,multiply(X_90,X_90))) != commutator(multiply(X_90,X_90),X_325)
| multiply(X_90,inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90))) = commutator(multiply(X_90,X_90),X_325) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_90,inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90))))),bind(Y0,$fot(inverse(commutator(X_325,multiply(X_90,X_90))))),bind(Z0,$fot(commutator(multiply(X_90,X_90),X_325)))]]) ).
cnf(refute_0_2548,plain,
( inverse(commutator(X_325,multiply(X_90,X_90))) != commutator(multiply(X_90,X_90),X_325)
| multiply(X_90,inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90))) = commutator(multiply(X_90,X_90),X_325) ),
inference(resolve,[$cnf( $equal(multiply(X_90,inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90))),inverse(commutator(X_325,multiply(X_90,X_90)))) )],[refute_0_2546,refute_0_2547]) ).
cnf(refute_0_2549,plain,
multiply(X_90,inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90))) = commutator(multiply(X_90,X_90),X_325),
inference(resolve,[$cnf( $equal(inverse(commutator(X_325,multiply(X_90,X_90))),commutator(multiply(X_90,X_90),X_325)) )],[refute_0_2545,refute_0_2548]) ).
cnf(refute_0_2550,plain,
multiply(multiply(X_299,X_298),multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298)))) = multiply(multiply(X_298,commutator(X_299,X_298)),commutator(multiply(X_299,X_298),multiply(X_298,commutator(X_299,X_298)))),
inference(subst,[],[refute_0_933:[bind(X_10,$fot(multiply(X_298,commutator(X_299,X_298)))),bind(X_90,$fot(multiply(X_299,X_298)))]]) ).
cnf(refute_0_2551,plain,
commutator(multiply(X_299,X_298),multiply(X_298,commutator(X_299,X_298))) = commutator(X_299,X_298),
inference(subst,[],[refute_0_1812:[bind(X_109,$fot(X_298)),bind(X_179,$fot(X_299))]]) ).
cnf(refute_0_2552,plain,
( multiply(multiply(X_299,X_298),multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298)))) != multiply(multiply(X_298,commutator(X_299,X_298)),commutator(multiply(X_299,X_298),multiply(X_298,commutator(X_299,X_298))))
| commutator(multiply(X_299,X_298),multiply(X_298,commutator(X_299,X_298))) != commutator(X_299,X_298)
| multiply(multiply(X_299,X_298),multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298)))) = multiply(multiply(X_298,commutator(X_299,X_298)),commutator(X_299,X_298)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_299,X_298),multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298)))),multiply(multiply(X_298,commutator(X_299,X_298)),commutator(multiply(X_299,X_298),multiply(X_298,commutator(X_299,X_298))))) ),[1,1],$fot(commutator(X_299,X_298))]]) ).
cnf(refute_0_2553,plain,
( multiply(multiply(X_299,X_298),multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298)))) != multiply(multiply(X_298,commutator(X_299,X_298)),commutator(multiply(X_299,X_298),multiply(X_298,commutator(X_299,X_298))))
| multiply(multiply(X_299,X_298),multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298)))) = multiply(multiply(X_298,commutator(X_299,X_298)),commutator(X_299,X_298)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_299,X_298),multiply(X_298,commutator(X_299,X_298))),commutator(X_299,X_298)) )],[refute_0_2551,refute_0_2552]) ).
cnf(refute_0_2554,plain,
multiply(multiply(X_299,X_298),multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298)))) = multiply(multiply(X_298,commutator(X_299,X_298)),commutator(X_299,X_298)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_299,X_298),multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298)))),multiply(multiply(X_298,commutator(X_299,X_298)),commutator(multiply(X_299,X_298),multiply(X_298,commutator(X_299,X_298))))) )],[refute_0_2550,refute_0_2553]) ).
cnf(refute_0_2555,plain,
multiply(commutator(inverse(multiply(multiply(X_256,X_257),X_10)),X_256),X_257) = multiply(inverse(multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10)))),multiply(inverse(multiply(multiply(X_256,X_257),X_10)),multiply(X_256,X_257))),
inference(subst,[],[refute_0_246:[bind(X,$fot(inverse(multiply(multiply(X_256,X_257),X_10)))),bind(Y,$fot(X_256)),bind(X_11,$fot(X_257))]]) ).
cnf(refute_0_2556,plain,
multiply(inverse(multiply(multiply(X_256,X_257),X_10)),multiply(X_256,X_257)) = inverse(X_10),
inference(subst,[],[refute_0_208:[bind(X_58,$fot(multiply(X_256,X_257)))]]) ).
cnf(refute_0_2557,plain,
( multiply(commutator(inverse(multiply(multiply(X_256,X_257),X_10)),X_256),X_257) != multiply(inverse(multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10)))),multiply(inverse(multiply(multiply(X_256,X_257),X_10)),multiply(X_256,X_257)))
| multiply(inverse(multiply(multiply(X_256,X_257),X_10)),multiply(X_256,X_257)) != inverse(X_10)
| multiply(commutator(inverse(multiply(multiply(X_256,X_257),X_10)),X_256),X_257) = multiply(inverse(multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10)))),inverse(X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(inverse(multiply(multiply(X_256,X_257),X_10)),X_256),X_257),multiply(inverse(multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10)))),multiply(inverse(multiply(multiply(X_256,X_257),X_10)),multiply(X_256,X_257)))) ),[1,1],$fot(inverse(X_10))]]) ).
cnf(refute_0_2558,plain,
( multiply(commutator(inverse(multiply(multiply(X_256,X_257),X_10)),X_256),X_257) != multiply(inverse(multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10)))),multiply(inverse(multiply(multiply(X_256,X_257),X_10)),multiply(X_256,X_257)))
| multiply(commutator(inverse(multiply(multiply(X_256,X_257),X_10)),X_256),X_257) = multiply(inverse(multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10)))),inverse(X_10)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_256,X_257),X_10)),multiply(X_256,X_257)),inverse(X_10)) )],[refute_0_2556,refute_0_2557]) ).
cnf(refute_0_2559,plain,
multiply(commutator(inverse(multiply(multiply(X_256,X_257),X_10)),X_256),X_257) = multiply(inverse(multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10)))),inverse(X_10)),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(multiply(multiply(X_256,X_257),X_10)),X_256),X_257),multiply(inverse(multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10)))),multiply(inverse(multiply(multiply(X_256,X_257),X_10)),multiply(X_256,X_257)))) )],[refute_0_2555,refute_0_2558]) ).
cnf(refute_0_2560,plain,
commutator(X_256,multiply(X_256,multiply(X_257,X_10))) = commutator(X_256,multiply(X_257,X_10)),
inference(subst,[],[refute_0_455:[bind(X_10,$fot(X_256)),bind(X_11,$fot(multiply(X_257,X_10)))]]) ).
cnf(refute_0_2561,plain,
multiply(multiply(X_256,X_257),X_10) = multiply(X_256,multiply(X_257,X_10)),
inference(subst,[],[associativity:[bind(X,$fot(X_256)),bind(Y,$fot(X_257)),bind(Z,$fot(X_10))]]) ).
cnf(refute_0_2562,plain,
commutator(X_256,multiply(multiply(X_256,X_257),X_10)) = commutator(X_256,multiply(multiply(X_256,X_257),X_10)),
introduced(tautology,[refl,[$fot(commutator(X_256,multiply(multiply(X_256,X_257),X_10)))]]) ).
cnf(refute_0_2563,plain,
( multiply(multiply(X_256,X_257),X_10) != multiply(X_256,multiply(X_257,X_10))
| commutator(X_256,multiply(multiply(X_256,X_257),X_10)) != commutator(X_256,multiply(multiply(X_256,X_257),X_10))
| commutator(X_256,multiply(multiply(X_256,X_257),X_10)) = commutator(X_256,multiply(X_256,multiply(X_257,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_256,multiply(multiply(X_256,X_257),X_10)),commutator(X_256,multiply(multiply(X_256,X_257),X_10))) ),[1,1],$fot(multiply(X_256,multiply(X_257,X_10)))]]) ).
cnf(refute_0_2564,plain,
( multiply(multiply(X_256,X_257),X_10) != multiply(X_256,multiply(X_257,X_10))
| commutator(X_256,multiply(multiply(X_256,X_257),X_10)) = commutator(X_256,multiply(X_256,multiply(X_257,X_10))) ),
inference(resolve,[$cnf( $equal(commutator(X_256,multiply(multiply(X_256,X_257),X_10)),commutator(X_256,multiply(multiply(X_256,X_257),X_10))) )],[refute_0_2562,refute_0_2563]) ).
cnf(refute_0_2565,plain,
commutator(X_256,multiply(multiply(X_256,X_257),X_10)) = commutator(X_256,multiply(X_256,multiply(X_257,X_10))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_256,X_257),X_10),multiply(X_256,multiply(X_257,X_10))) )],[refute_0_2561,refute_0_2564]) ).
cnf(refute_0_2566,plain,
( commutator(X_256,multiply(X_256,multiply(X_257,X_10))) != commutator(X_256,multiply(X_257,X_10))
| commutator(X_256,multiply(multiply(X_256,X_257),X_10)) != commutator(X_256,multiply(X_256,multiply(X_257,X_10)))
| commutator(X_256,multiply(multiply(X_256,X_257),X_10)) = commutator(X_256,multiply(X_257,X_10)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(X_256,multiply(multiply(X_256,X_257),X_10)))),bind(Y0,$fot(commutator(X_256,multiply(X_256,multiply(X_257,X_10))))),bind(Z0,$fot(commutator(X_256,multiply(X_257,X_10))))]]) ).
cnf(refute_0_2567,plain,
( commutator(X_256,multiply(X_256,multiply(X_257,X_10))) != commutator(X_256,multiply(X_257,X_10))
| commutator(X_256,multiply(multiply(X_256,X_257),X_10)) = commutator(X_256,multiply(X_257,X_10)) ),
inference(resolve,[$cnf( $equal(commutator(X_256,multiply(multiply(X_256,X_257),X_10)),commutator(X_256,multiply(X_256,multiply(X_257,X_10)))) )],[refute_0_2565,refute_0_2566]) ).
cnf(refute_0_2568,plain,
commutator(X_256,multiply(multiply(X_256,X_257),X_10)) = commutator(X_256,multiply(X_257,X_10)),
inference(resolve,[$cnf( $equal(commutator(X_256,multiply(X_256,multiply(X_257,X_10))),commutator(X_256,multiply(X_257,X_10))) )],[refute_0_2560,refute_0_2567]) ).
cnf(refute_0_2569,plain,
commutator(inverse(multiply(multiply(X_256,X_257),X_10)),X_256) = commutator(X_256,multiply(multiply(X_256,X_257),X_10)),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(multiply(multiply(X_256,X_257),X_10))),bind(X_110,$fot(X_256))]]) ).
cnf(refute_0_2570,plain,
( commutator(X_256,multiply(multiply(X_256,X_257),X_10)) != commutator(X_256,multiply(X_257,X_10))
| commutator(inverse(multiply(multiply(X_256,X_257),X_10)),X_256) != commutator(X_256,multiply(multiply(X_256,X_257),X_10))
| commutator(inverse(multiply(multiply(X_256,X_257),X_10)),X_256) = commutator(X_256,multiply(X_257,X_10)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(inverse(multiply(multiply(X_256,X_257),X_10)),X_256))),bind(Y0,$fot(commutator(X_256,multiply(multiply(X_256,X_257),X_10)))),bind(Z0,$fot(commutator(X_256,multiply(X_257,X_10))))]]) ).
cnf(refute_0_2571,plain,
( commutator(X_256,multiply(multiply(X_256,X_257),X_10)) != commutator(X_256,multiply(X_257,X_10))
| commutator(inverse(multiply(multiply(X_256,X_257),X_10)),X_256) = commutator(X_256,multiply(X_257,X_10)) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(multiply(X_256,X_257),X_10)),X_256),commutator(X_256,multiply(multiply(X_256,X_257),X_10))) )],[refute_0_2569,refute_0_2570]) ).
cnf(refute_0_2572,plain,
commutator(inverse(multiply(multiply(X_256,X_257),X_10)),X_256) = commutator(X_256,multiply(X_257,X_10)),
inference(resolve,[$cnf( $equal(commutator(X_256,multiply(multiply(X_256,X_257),X_10)),commutator(X_256,multiply(X_257,X_10))) )],[refute_0_2568,refute_0_2571]) ).
cnf(refute_0_2573,plain,
multiply(commutator(inverse(multiply(multiply(X_256,X_257),X_10)),X_256),X_257) = multiply(commutator(inverse(multiply(multiply(X_256,X_257),X_10)),X_256),X_257),
introduced(tautology,[refl,[$fot(multiply(commutator(inverse(multiply(multiply(X_256,X_257),X_10)),X_256),X_257))]]) ).
cnf(refute_0_2574,plain,
( multiply(commutator(inverse(multiply(multiply(X_256,X_257),X_10)),X_256),X_257) != multiply(commutator(inverse(multiply(multiply(X_256,X_257),X_10)),X_256),X_257)
| commutator(inverse(multiply(multiply(X_256,X_257),X_10)),X_256) != commutator(X_256,multiply(X_257,X_10))
| multiply(commutator(inverse(multiply(multiply(X_256,X_257),X_10)),X_256),X_257) = multiply(commutator(X_256,multiply(X_257,X_10)),X_257) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(inverse(multiply(multiply(X_256,X_257),X_10)),X_256),X_257),multiply(commutator(inverse(multiply(multiply(X_256,X_257),X_10)),X_256),X_257)) ),[1,0],$fot(commutator(X_256,multiply(X_257,X_10)))]]) ).
cnf(refute_0_2575,plain,
( commutator(inverse(multiply(multiply(X_256,X_257),X_10)),X_256) != commutator(X_256,multiply(X_257,X_10))
| multiply(commutator(inverse(multiply(multiply(X_256,X_257),X_10)),X_256),X_257) = multiply(commutator(X_256,multiply(X_257,X_10)),X_257) ),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(multiply(multiply(X_256,X_257),X_10)),X_256),X_257),multiply(commutator(inverse(multiply(multiply(X_256,X_257),X_10)),X_256),X_257)) )],[refute_0_2573,refute_0_2574]) ).
cnf(refute_0_2576,plain,
multiply(commutator(inverse(multiply(multiply(X_256,X_257),X_10)),X_256),X_257) = multiply(commutator(X_256,multiply(X_257,X_10)),X_257),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(multiply(X_256,X_257),X_10)),X_256),commutator(X_256,multiply(X_257,X_10))) )],[refute_0_2572,refute_0_2575]) ).
cnf(refute_0_2577,plain,
( multiply(commutator(inverse(multiply(multiply(X_256,X_257),X_10)),X_256),X_257) != multiply(commutator(X_256,multiply(X_257,X_10)),X_257)
| multiply(commutator(inverse(multiply(multiply(X_256,X_257),X_10)),X_256),X_257) != multiply(inverse(multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10)))),inverse(X_10))
| multiply(commutator(X_256,multiply(X_257,X_10)),X_257) = multiply(inverse(multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10)))),inverse(X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(inverse(multiply(multiply(X_256,X_257),X_10)),X_256),X_257),multiply(inverse(multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10)))),inverse(X_10))) ),[0],$fot(multiply(commutator(X_256,multiply(X_257,X_10)),X_257))]]) ).
cnf(refute_0_2578,plain,
( multiply(commutator(inverse(multiply(multiply(X_256,X_257),X_10)),X_256),X_257) != multiply(inverse(multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10)))),inverse(X_10))
| multiply(commutator(X_256,multiply(X_257,X_10)),X_257) = multiply(inverse(multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10)))),inverse(X_10)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(multiply(multiply(X_256,X_257),X_10)),X_256),X_257),multiply(commutator(X_256,multiply(X_257,X_10)),X_257)) )],[refute_0_2576,refute_0_2577]) ).
cnf(refute_0_2579,plain,
multiply(multiply(X_256,X_257),multiply(X_10,inverse(multiply(X_10,X_256)))) = multiply(X_256,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_256))))),
inference(subst,[],[associativity:[bind(X,$fot(X_256)),bind(Y,$fot(X_257)),bind(Z,$fot(multiply(X_10,inverse(multiply(X_10,X_256)))))]]) ).
cnf(refute_0_2580,plain,
multiply(multiply(multiply(X_256,X_257),X_10),inverse(multiply(X_10,X_256))) = multiply(multiply(X_256,X_257),multiply(X_10,inverse(multiply(X_10,X_256)))),
inference(subst,[],[associativity:[bind(X,$fot(multiply(X_256,X_257))),bind(Y,$fot(X_10)),bind(Z,$fot(inverse(multiply(X_10,X_256))))]]) ).
cnf(refute_0_2581,plain,
( multiply(multiply(X_256,X_257),multiply(X_10,inverse(multiply(X_10,X_256)))) != multiply(X_256,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_256)))))
| multiply(multiply(multiply(X_256,X_257),X_10),inverse(multiply(X_10,X_256))) != multiply(multiply(X_256,X_257),multiply(X_10,inverse(multiply(X_10,X_256))))
| multiply(multiply(multiply(X_256,X_257),X_10),inverse(multiply(X_10,X_256))) = multiply(X_256,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_256))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(multiply(X_256,X_257),X_10),inverse(multiply(X_10,X_256))))),bind(Y0,$fot(multiply(multiply(X_256,X_257),multiply(X_10,inverse(multiply(X_10,X_256)))))),bind(Z0,$fot(multiply(X_256,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_256)))))))]]) ).
cnf(refute_0_2582,plain,
( multiply(multiply(X_256,X_257),multiply(X_10,inverse(multiply(X_10,X_256)))) != multiply(X_256,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_256)))))
| multiply(multiply(multiply(X_256,X_257),X_10),inverse(multiply(X_10,X_256))) = multiply(X_256,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_256))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_256,X_257),X_10),inverse(multiply(X_10,X_256))),multiply(multiply(X_256,X_257),multiply(X_10,inverse(multiply(X_10,X_256))))) )],[refute_0_2580,refute_0_2581]) ).
cnf(refute_0_2583,plain,
multiply(multiply(multiply(X_256,X_257),X_10),inverse(multiply(X_10,X_256))) = multiply(X_256,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_256))))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_256,X_257),multiply(X_10,inverse(multiply(X_10,X_256)))),multiply(X_256,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_256)))))) )],[refute_0_2579,refute_0_2582]) ).
cnf(refute_0_2584,plain,
inverse(multiply(X_10,multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10))))) = multiply(multiply(multiply(X_256,X_257),X_10),inverse(multiply(X_10,X_256))),
inference(subst,[],[refute_0_860:[bind(X_58,$fot(X_10)),bind(X_89,$fot(multiply(multiply(X_256,X_257),X_10))),bind(X_90,$fot(X_256))]]) ).
cnf(refute_0_2585,plain,
( multiply(multiply(multiply(X_256,X_257),X_10),inverse(multiply(X_10,X_256))) != multiply(X_256,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_256)))))
| inverse(multiply(X_10,multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10))))) != multiply(multiply(multiply(X_256,X_257),X_10),inverse(multiply(X_10,X_256)))
| inverse(multiply(X_10,multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10))))) = multiply(X_256,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_256))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(X_10,multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10))))))),bind(Y0,$fot(multiply(multiply(multiply(X_256,X_257),X_10),inverse(multiply(X_10,X_256))))),bind(Z0,$fot(multiply(X_256,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_256)))))))]]) ).
cnf(refute_0_2586,plain,
( multiply(multiply(multiply(X_256,X_257),X_10),inverse(multiply(X_10,X_256))) != multiply(X_256,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_256)))))
| inverse(multiply(X_10,multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10))))) = multiply(X_256,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_256))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10))))),multiply(multiply(multiply(X_256,X_257),X_10),inverse(multiply(X_10,X_256)))) )],[refute_0_2584,refute_0_2585]) ).
cnf(refute_0_2587,plain,
inverse(multiply(X_10,multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10))))) = multiply(X_256,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_256))))),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_256,X_257),X_10),inverse(multiply(X_10,X_256))),multiply(X_256,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_256)))))) )],[refute_0_2583,refute_0_2586]) ).
cnf(refute_0_2588,plain,
multiply(inverse(multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10)))),inverse(X_10)) = inverse(multiply(X_10,multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10))))),
inference(subst,[],[refute_0_257:[bind(X_10,$fot(multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10))))),bind(X_58,$fot(X_10))]]) ).
cnf(refute_0_2589,plain,
( multiply(inverse(multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10)))),inverse(X_10)) != inverse(multiply(X_10,multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10)))))
| inverse(multiply(X_10,multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10))))) != multiply(X_256,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_256)))))
| multiply(inverse(multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10)))),inverse(X_10)) = multiply(X_256,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_256))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10)))),inverse(X_10)))),bind(Y0,$fot(inverse(multiply(X_10,multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10))))))),bind(Z0,$fot(multiply(X_256,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_256)))))))]]) ).
cnf(refute_0_2590,plain,
( inverse(multiply(X_10,multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10))))) != multiply(X_256,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_256)))))
| multiply(inverse(multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10)))),inverse(X_10)) = multiply(X_256,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_256))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10)))),inverse(X_10)),inverse(multiply(X_10,multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10)))))) )],[refute_0_2588,refute_0_2589]) ).
cnf(refute_0_2591,plain,
multiply(inverse(multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10)))),inverse(X_10)) = multiply(X_256,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_256))))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10))))),multiply(X_256,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_256)))))) )],[refute_0_2587,refute_0_2590]) ).
cnf(refute_0_2592,plain,
( multiply(commutator(X_256,multiply(X_257,X_10)),X_257) != multiply(inverse(multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10)))),inverse(X_10))
| multiply(inverse(multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10)))),inverse(X_10)) != multiply(X_256,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_256)))))
| multiply(commutator(X_256,multiply(X_257,X_10)),X_257) = multiply(X_256,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_256))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(commutator(X_256,multiply(X_257,X_10)),X_257),multiply(X_256,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_256)))))) ),[0],$fot(multiply(inverse(multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10)))),inverse(X_10)))]]) ).
cnf(refute_0_2593,plain,
( multiply(commutator(X_256,multiply(X_257,X_10)),X_257) != multiply(inverse(multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10)))),inverse(X_10))
| multiply(commutator(X_256,multiply(X_257,X_10)),X_257) = multiply(X_256,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_256))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10)))),inverse(X_10)),multiply(X_256,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_256)))))) )],[refute_0_2591,refute_0_2592]) ).
cnf(refute_0_2594,plain,
( multiply(commutator(inverse(multiply(multiply(X_256,X_257),X_10)),X_256),X_257) != multiply(inverse(multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10)))),inverse(X_10))
| multiply(commutator(X_256,multiply(X_257,X_10)),X_257) = multiply(X_256,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_256))))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_256,multiply(X_257,X_10)),X_257),multiply(inverse(multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10)))),inverse(X_10))) )],[refute_0_2578,refute_0_2593]) ).
cnf(refute_0_2595,plain,
multiply(commutator(X_256,multiply(X_257,X_10)),X_257) = multiply(X_256,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_256))))),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(multiply(multiply(X_256,X_257),X_10)),X_256),X_257),multiply(inverse(multiply(X_256,inverse(multiply(multiply(X_256,X_257),X_10)))),inverse(X_10))) )],[refute_0_2559,refute_0_2594]) ).
cnf(refute_0_2596,plain,
( multiply(commutator(X_256,multiply(X_257,X_10)),X_257) != multiply(X_256,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_256)))))
| multiply(X_256,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_256))))) = multiply(commutator(X_256,multiply(X_257,X_10)),X_257) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(commutator(X_256,multiply(X_257,X_10)),X_257))),bind(Y0,$fot(multiply(X_256,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_256)))))))]]) ).
cnf(refute_0_2597,plain,
multiply(X_256,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_256))))) = multiply(commutator(X_256,multiply(X_257,X_10)),X_257),
inference(resolve,[$cnf( $equal(multiply(commutator(X_256,multiply(X_257,X_10)),X_257),multiply(X_256,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_256)))))) )],[refute_0_2595,refute_0_2596]) ).
cnf(refute_0_2598,plain,
multiply(X_299,multiply(X_298,multiply(X_298,inverse(multiply(X_298,X_299))))) = multiply(commutator(X_299,multiply(X_298,X_298)),X_298),
inference(subst,[],[refute_0_2597:[bind(X_10,$fot(X_298)),bind(X_256,$fot(X_299)),bind(X_257,$fot(X_298))]]) ).
cnf(refute_0_2599,plain,
( multiply(X,Y) != multiply(Y,multiply(X,commutator(X,Y)))
| multiply(Y,multiply(X,commutator(X,Y))) = multiply(X,Y) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(X,Y))),bind(Y0,$fot(multiply(Y,multiply(X,commutator(X,Y)))))]]) ).
cnf(refute_0_2600,plain,
multiply(Y,multiply(X,commutator(X,Y))) = multiply(X,Y),
inference(resolve,[$cnf( $equal(multiply(X,Y),multiply(Y,multiply(X,commutator(X,Y)))) )],[refute_0_194,refute_0_2599]) ).
cnf(refute_0_2601,plain,
multiply(X_299,multiply(X_298,commutator(X_298,X_299))) = multiply(X_298,X_299),
inference(subst,[],[refute_0_2600:[bind(X,$fot(X_298)),bind(Y,$fot(X_299))]]) ).
cnf(refute_0_2602,plain,
multiply(multiply(X_299,X_298),commutator(X_298,X_299)) = multiply(X_299,multiply(X_298,commutator(X_298,X_299))),
inference(subst,[],[associativity:[bind(X,$fot(X_299)),bind(Y,$fot(X_298)),bind(Z,$fot(commutator(X_298,X_299)))]]) ).
cnf(refute_0_2603,plain,
( multiply(X_299,multiply(X_298,commutator(X_298,X_299))) != multiply(X_298,X_299)
| multiply(multiply(X_299,X_298),commutator(X_298,X_299)) != multiply(X_299,multiply(X_298,commutator(X_298,X_299)))
| multiply(multiply(X_299,X_298),commutator(X_298,X_299)) = multiply(X_298,X_299) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_299,X_298),commutator(X_298,X_299)))),bind(Y0,$fot(multiply(X_299,multiply(X_298,commutator(X_298,X_299))))),bind(Z0,$fot(multiply(X_298,X_299)))]]) ).
cnf(refute_0_2604,plain,
( multiply(X_299,multiply(X_298,commutator(X_298,X_299))) != multiply(X_298,X_299)
| multiply(multiply(X_299,X_298),commutator(X_298,X_299)) = multiply(X_298,X_299) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_299,X_298),commutator(X_298,X_299)),multiply(X_299,multiply(X_298,commutator(X_298,X_299)))) )],[refute_0_2602,refute_0_2603]) ).
cnf(refute_0_2605,plain,
multiply(multiply(X_299,X_298),commutator(X_298,X_299)) = multiply(X_298,X_299),
inference(resolve,[$cnf( $equal(multiply(X_299,multiply(X_298,commutator(X_298,X_299))),multiply(X_298,X_299)) )],[refute_0_2601,refute_0_2604]) ).
cnf(refute_0_2606,plain,
inverse(multiply(multiply(X_299,X_298),commutator(X_298,X_299))) = inverse(multiply(multiply(X_299,X_298),commutator(X_298,X_299))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_299,X_298),commutator(X_298,X_299))))]]) ).
cnf(refute_0_2607,plain,
( multiply(multiply(X_299,X_298),commutator(X_298,X_299)) != multiply(X_298,X_299)
| inverse(multiply(multiply(X_299,X_298),commutator(X_298,X_299))) != inverse(multiply(multiply(X_299,X_298),commutator(X_298,X_299)))
| inverse(multiply(multiply(X_299,X_298),commutator(X_298,X_299))) = inverse(multiply(X_298,X_299)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_299,X_298),commutator(X_298,X_299))),inverse(multiply(multiply(X_299,X_298),commutator(X_298,X_299)))) ),[1,0],$fot(multiply(X_298,X_299))]]) ).
cnf(refute_0_2608,plain,
( multiply(multiply(X_299,X_298),commutator(X_298,X_299)) != multiply(X_298,X_299)
| inverse(multiply(multiply(X_299,X_298),commutator(X_298,X_299))) = inverse(multiply(X_298,X_299)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_299,X_298),commutator(X_298,X_299))),inverse(multiply(multiply(X_299,X_298),commutator(X_298,X_299)))) )],[refute_0_2606,refute_0_2607]) ).
cnf(refute_0_2609,plain,
inverse(multiply(multiply(X_299,X_298),commutator(X_298,X_299))) = inverse(multiply(X_298,X_299)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_299,X_298),commutator(X_298,X_299)),multiply(X_298,X_299)) )],[refute_0_2605,refute_0_2608]) ).
cnf(refute_0_2610,plain,
multiply(commutator(X_299,X_298),inverse(multiply(X_299,X_298))) = inverse(multiply(multiply(X_299,X_298),commutator(X_298,X_299))),
inference(subst,[],[refute_0_378:[bind(X_58,$fot(multiply(X_299,X_298))),bind(X_65,$fot(X_299)),bind(X_66,$fot(X_298))]]) ).
cnf(refute_0_2611,plain,
( multiply(commutator(X_299,X_298),inverse(multiply(X_299,X_298))) != inverse(multiply(multiply(X_299,X_298),commutator(X_298,X_299)))
| inverse(multiply(multiply(X_299,X_298),commutator(X_298,X_299))) != inverse(multiply(X_298,X_299))
| multiply(commutator(X_299,X_298),inverse(multiply(X_299,X_298))) = inverse(multiply(X_298,X_299)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_299,X_298),inverse(multiply(X_299,X_298))))),bind(Y0,$fot(inverse(multiply(multiply(X_299,X_298),commutator(X_298,X_299))))),bind(Z0,$fot(inverse(multiply(X_298,X_299))))]]) ).
cnf(refute_0_2612,plain,
( inverse(multiply(multiply(X_299,X_298),commutator(X_298,X_299))) != inverse(multiply(X_298,X_299))
| multiply(commutator(X_299,X_298),inverse(multiply(X_299,X_298))) = inverse(multiply(X_298,X_299)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_299,X_298),inverse(multiply(X_299,X_298))),inverse(multiply(multiply(X_299,X_298),commutator(X_298,X_299)))) )],[refute_0_2610,refute_0_2611]) ).
cnf(refute_0_2613,plain,
multiply(commutator(X_299,X_298),inverse(multiply(X_299,X_298))) = inverse(multiply(X_298,X_299)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_299,X_298),commutator(X_298,X_299))),inverse(multiply(X_298,X_299))) )],[refute_0_2609,refute_0_2612]) ).
cnf(refute_0_2614,plain,
multiply(X_298,multiply(commutator(X_299,X_298),inverse(multiply(X_299,X_298)))) = multiply(X_298,multiply(commutator(X_299,X_298),inverse(multiply(X_299,X_298)))),
introduced(tautology,[refl,[$fot(multiply(X_298,multiply(commutator(X_299,X_298),inverse(multiply(X_299,X_298)))))]]) ).
cnf(refute_0_2615,plain,
( multiply(X_298,multiply(commutator(X_299,X_298),inverse(multiply(X_299,X_298)))) != multiply(X_298,multiply(commutator(X_299,X_298),inverse(multiply(X_299,X_298))))
| multiply(commutator(X_299,X_298),inverse(multiply(X_299,X_298))) != inverse(multiply(X_298,X_299))
| multiply(X_298,multiply(commutator(X_299,X_298),inverse(multiply(X_299,X_298)))) = multiply(X_298,inverse(multiply(X_298,X_299))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_298,multiply(commutator(X_299,X_298),inverse(multiply(X_299,X_298)))),multiply(X_298,multiply(commutator(X_299,X_298),inverse(multiply(X_299,X_298))))) ),[1,1],$fot(inverse(multiply(X_298,X_299)))]]) ).
cnf(refute_0_2616,plain,
( multiply(commutator(X_299,X_298),inverse(multiply(X_299,X_298))) != inverse(multiply(X_298,X_299))
| multiply(X_298,multiply(commutator(X_299,X_298),inverse(multiply(X_299,X_298)))) = multiply(X_298,inverse(multiply(X_298,X_299))) ),
inference(resolve,[$cnf( $equal(multiply(X_298,multiply(commutator(X_299,X_298),inverse(multiply(X_299,X_298)))),multiply(X_298,multiply(commutator(X_299,X_298),inverse(multiply(X_299,X_298))))) )],[refute_0_2614,refute_0_2615]) ).
cnf(refute_0_2617,plain,
multiply(X_298,multiply(commutator(X_299,X_298),inverse(multiply(X_299,X_298)))) = multiply(X_298,inverse(multiply(X_298,X_299))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_299,X_298),inverse(multiply(X_299,X_298))),inverse(multiply(X_298,X_299))) )],[refute_0_2613,refute_0_2616]) ).
cnf(refute_0_2618,plain,
multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298))) = multiply(X_298,multiply(commutator(X_299,X_298),inverse(multiply(X_299,X_298)))),
inference(subst,[],[associativity:[bind(X,$fot(X_298)),bind(Y,$fot(commutator(X_299,X_298))),bind(Z,$fot(inverse(multiply(X_299,X_298))))]]) ).
cnf(refute_0_2619,plain,
( multiply(X_298,multiply(commutator(X_299,X_298),inverse(multiply(X_299,X_298)))) != multiply(X_298,inverse(multiply(X_298,X_299)))
| multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298))) != multiply(X_298,multiply(commutator(X_299,X_298),inverse(multiply(X_299,X_298))))
| multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298))) = multiply(X_298,inverse(multiply(X_298,X_299))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298))))),bind(Y0,$fot(multiply(X_298,multiply(commutator(X_299,X_298),inverse(multiply(X_299,X_298)))))),bind(Z0,$fot(multiply(X_298,inverse(multiply(X_298,X_299)))))]]) ).
cnf(refute_0_2620,plain,
( multiply(X_298,multiply(commutator(X_299,X_298),inverse(multiply(X_299,X_298)))) != multiply(X_298,inverse(multiply(X_298,X_299)))
| multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298))) = multiply(X_298,inverse(multiply(X_298,X_299))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298))),multiply(X_298,multiply(commutator(X_299,X_298),inverse(multiply(X_299,X_298))))) )],[refute_0_2618,refute_0_2619]) ).
cnf(refute_0_2621,plain,
multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298))) = multiply(X_298,inverse(multiply(X_298,X_299))),
inference(resolve,[$cnf( $equal(multiply(X_298,multiply(commutator(X_299,X_298),inverse(multiply(X_299,X_298)))),multiply(X_298,inverse(multiply(X_298,X_299)))) )],[refute_0_2617,refute_0_2620]) ).
cnf(refute_0_2622,plain,
multiply(X_298,multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298)))) = multiply(X_298,multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298)))),
introduced(tautology,[refl,[$fot(multiply(X_298,multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298)))))]]) ).
cnf(refute_0_2623,plain,
( multiply(X_298,multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298)))) != multiply(X_298,multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298))))
| multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298))) != multiply(X_298,inverse(multiply(X_298,X_299)))
| multiply(X_298,multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298)))) = multiply(X_298,multiply(X_298,inverse(multiply(X_298,X_299)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_298,multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298)))),multiply(X_298,multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298))))) ),[1,1],$fot(multiply(X_298,inverse(multiply(X_298,X_299))))]]) ).
cnf(refute_0_2624,plain,
( multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298))) != multiply(X_298,inverse(multiply(X_298,X_299)))
| multiply(X_298,multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298)))) = multiply(X_298,multiply(X_298,inverse(multiply(X_298,X_299)))) ),
inference(resolve,[$cnf( $equal(multiply(X_298,multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298)))),multiply(X_298,multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298))))) )],[refute_0_2622,refute_0_2623]) ).
cnf(refute_0_2625,plain,
multiply(X_298,multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298)))) = multiply(X_298,multiply(X_298,inverse(multiply(X_298,X_299)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298))),multiply(X_298,inverse(multiply(X_298,X_299)))) )],[refute_0_2621,refute_0_2624]) ).
cnf(refute_0_2626,plain,
multiply(X_299,multiply(X_298,multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298))))) = multiply(X_299,multiply(X_298,multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298))))),
introduced(tautology,[refl,[$fot(multiply(X_299,multiply(X_298,multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298))))))]]) ).
cnf(refute_0_2627,plain,
( multiply(X_298,multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298)))) != multiply(X_298,multiply(X_298,inverse(multiply(X_298,X_299))))
| multiply(X_299,multiply(X_298,multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298))))) != multiply(X_299,multiply(X_298,multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298)))))
| multiply(X_299,multiply(X_298,multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298))))) = multiply(X_299,multiply(X_298,multiply(X_298,inverse(multiply(X_298,X_299))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_299,multiply(X_298,multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298))))),multiply(X_299,multiply(X_298,multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298)))))) ),[1,1],$fot(multiply(X_298,multiply(X_298,inverse(multiply(X_298,X_299)))))]]) ).
cnf(refute_0_2628,plain,
( multiply(X_298,multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298)))) != multiply(X_298,multiply(X_298,inverse(multiply(X_298,X_299))))
| multiply(X_299,multiply(X_298,multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298))))) = multiply(X_299,multiply(X_298,multiply(X_298,inverse(multiply(X_298,X_299))))) ),
inference(resolve,[$cnf( $equal(multiply(X_299,multiply(X_298,multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298))))),multiply(X_299,multiply(X_298,multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298)))))) )],[refute_0_2626,refute_0_2627]) ).
cnf(refute_0_2629,plain,
multiply(X_299,multiply(X_298,multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298))))) = multiply(X_299,multiply(X_298,multiply(X_298,inverse(multiply(X_298,X_299))))),
inference(resolve,[$cnf( $equal(multiply(X_298,multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298)))),multiply(X_298,multiply(X_298,inverse(multiply(X_298,X_299))))) )],[refute_0_2625,refute_0_2628]) ).
cnf(refute_0_2630,plain,
( multiply(X_299,multiply(X_298,multiply(X_298,inverse(multiply(X_298,X_299))))) != multiply(commutator(X_299,multiply(X_298,X_298)),X_298)
| multiply(X_299,multiply(X_298,multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298))))) != multiply(X_299,multiply(X_298,multiply(X_298,inverse(multiply(X_298,X_299)))))
| multiply(X_299,multiply(X_298,multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298))))) = multiply(commutator(X_299,multiply(X_298,X_298)),X_298) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_299,multiply(X_298,multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298))))))),bind(Y0,$fot(multiply(X_299,multiply(X_298,multiply(X_298,inverse(multiply(X_298,X_299))))))),bind(Z0,$fot(multiply(commutator(X_299,multiply(X_298,X_298)),X_298)))]]) ).
cnf(refute_0_2631,plain,
( multiply(X_299,multiply(X_298,multiply(X_298,inverse(multiply(X_298,X_299))))) != multiply(commutator(X_299,multiply(X_298,X_298)),X_298)
| multiply(X_299,multiply(X_298,multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298))))) = multiply(commutator(X_299,multiply(X_298,X_298)),X_298) ),
inference(resolve,[$cnf( $equal(multiply(X_299,multiply(X_298,multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298))))),multiply(X_299,multiply(X_298,multiply(X_298,inverse(multiply(X_298,X_299)))))) )],[refute_0_2629,refute_0_2630]) ).
cnf(refute_0_2632,plain,
multiply(X_299,multiply(X_298,multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298))))) = multiply(commutator(X_299,multiply(X_298,X_298)),X_298),
inference(resolve,[$cnf( $equal(multiply(X_299,multiply(X_298,multiply(X_298,inverse(multiply(X_298,X_299))))),multiply(commutator(X_299,multiply(X_298,X_298)),X_298)) )],[refute_0_2598,refute_0_2631]) ).
cnf(refute_0_2633,plain,
multiply(multiply(X_299,X_298),multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298)))) = multiply(X_299,multiply(X_298,multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298))))),
inference(subst,[],[associativity:[bind(X,$fot(X_299)),bind(Y,$fot(X_298)),bind(Z,$fot(multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298)))))]]) ).
cnf(refute_0_2634,plain,
( multiply(X_299,multiply(X_298,multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298))))) != multiply(commutator(X_299,multiply(X_298,X_298)),X_298)
| multiply(multiply(X_299,X_298),multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298)))) != multiply(X_299,multiply(X_298,multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298)))))
| multiply(multiply(X_299,X_298),multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298)))) = multiply(commutator(X_299,multiply(X_298,X_298)),X_298) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_299,X_298),multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298)))))),bind(Y0,$fot(multiply(X_299,multiply(X_298,multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298))))))),bind(Z0,$fot(multiply(commutator(X_299,multiply(X_298,X_298)),X_298)))]]) ).
cnf(refute_0_2635,plain,
( multiply(X_299,multiply(X_298,multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298))))) != multiply(commutator(X_299,multiply(X_298,X_298)),X_298)
| multiply(multiply(X_299,X_298),multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298)))) = multiply(commutator(X_299,multiply(X_298,X_298)),X_298) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_299,X_298),multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298)))),multiply(X_299,multiply(X_298,multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298)))))) )],[refute_0_2633,refute_0_2634]) ).
cnf(refute_0_2636,plain,
multiply(multiply(X_299,X_298),multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298)))) = multiply(commutator(X_299,multiply(X_298,X_298)),X_298),
inference(resolve,[$cnf( $equal(multiply(X_299,multiply(X_298,multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298))))),multiply(commutator(X_299,multiply(X_298,X_298)),X_298)) )],[refute_0_2632,refute_0_2635]) ).
cnf(refute_0_2637,plain,
( multiply(multiply(X_299,X_298),multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298)))) != multiply(multiply(X_298,commutator(X_299,X_298)),commutator(X_299,X_298))
| multiply(multiply(X_299,X_298),multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298)))) != multiply(commutator(X_299,multiply(X_298,X_298)),X_298)
| multiply(commutator(X_299,multiply(X_298,X_298)),X_298) = multiply(multiply(X_298,commutator(X_299,X_298)),commutator(X_299,X_298)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_299,X_298),multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298)))),multiply(multiply(X_298,commutator(X_299,X_298)),commutator(X_299,X_298))) ),[0],$fot(multiply(commutator(X_299,multiply(X_298,X_298)),X_298))]]) ).
cnf(refute_0_2638,plain,
( multiply(multiply(X_299,X_298),multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298)))) != multiply(multiply(X_298,commutator(X_299,X_298)),commutator(X_299,X_298))
| multiply(commutator(X_299,multiply(X_298,X_298)),X_298) = multiply(multiply(X_298,commutator(X_299,X_298)),commutator(X_299,X_298)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_299,X_298),multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298)))),multiply(commutator(X_299,multiply(X_298,X_298)),X_298)) )],[refute_0_2636,refute_0_2637]) ).
cnf(refute_0_2639,plain,
multiply(multiply(X_298,commutator(X_299,X_298)),commutator(X_299,X_298)) = multiply(X_298,multiply(commutator(X_299,X_298),commutator(X_299,X_298))),
inference(subst,[],[associativity:[bind(X,$fot(X_298)),bind(Y,$fot(commutator(X_299,X_298))),bind(Z,$fot(commutator(X_299,X_298)))]]) ).
cnf(refute_0_2640,plain,
( multiply(multiply(X_298,commutator(X_299,X_298)),commutator(X_299,X_298)) != multiply(X_298,multiply(commutator(X_299,X_298),commutator(X_299,X_298)))
| multiply(commutator(X_299,multiply(X_298,X_298)),X_298) != multiply(multiply(X_298,commutator(X_299,X_298)),commutator(X_299,X_298))
| multiply(commutator(X_299,multiply(X_298,X_298)),X_298) = multiply(X_298,multiply(commutator(X_299,X_298),commutator(X_299,X_298))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_299,multiply(X_298,X_298)),X_298),multiply(multiply(X_298,commutator(X_299,X_298)),commutator(X_299,X_298))) ),[1],$fot(multiply(X_298,multiply(commutator(X_299,X_298),commutator(X_299,X_298))))]]) ).
cnf(refute_0_2641,plain,
( multiply(commutator(X_299,multiply(X_298,X_298)),X_298) != multiply(multiply(X_298,commutator(X_299,X_298)),commutator(X_299,X_298))
| multiply(commutator(X_299,multiply(X_298,X_298)),X_298) = multiply(X_298,multiply(commutator(X_299,X_298),commutator(X_299,X_298))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_298,commutator(X_299,X_298)),commutator(X_299,X_298)),multiply(X_298,multiply(commutator(X_299,X_298),commutator(X_299,X_298)))) )],[refute_0_2639,refute_0_2640]) ).
cnf(refute_0_2642,plain,
( multiply(multiply(X_299,X_298),multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298)))) != multiply(multiply(X_298,commutator(X_299,X_298)),commutator(X_299,X_298))
| multiply(commutator(X_299,multiply(X_298,X_298)),X_298) = multiply(X_298,multiply(commutator(X_299,X_298),commutator(X_299,X_298))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_299,multiply(X_298,X_298)),X_298),multiply(multiply(X_298,commutator(X_299,X_298)),commutator(X_299,X_298))) )],[refute_0_2638,refute_0_2641]) ).
cnf(refute_0_2643,plain,
multiply(commutator(X_299,multiply(X_298,X_298)),X_298) = multiply(X_298,multiply(commutator(X_299,X_298),commutator(X_299,X_298))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_299,X_298),multiply(multiply(X_298,commutator(X_299,X_298)),inverse(multiply(X_299,X_298)))),multiply(multiply(X_298,commutator(X_299,X_298)),commutator(X_299,X_298))) )],[refute_0_2554,refute_0_2642]) ).
cnf(refute_0_2644,plain,
( multiply(commutator(X_299,multiply(X_298,X_298)),X_298) != multiply(X_298,multiply(commutator(X_299,X_298),commutator(X_299,X_298)))
| multiply(X_298,multiply(commutator(X_299,X_298),commutator(X_299,X_298))) = multiply(commutator(X_299,multiply(X_298,X_298)),X_298) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(commutator(X_299,multiply(X_298,X_298)),X_298))),bind(Y0,$fot(multiply(X_298,multiply(commutator(X_299,X_298),commutator(X_299,X_298)))))]]) ).
cnf(refute_0_2645,plain,
multiply(X_298,multiply(commutator(X_299,X_298),commutator(X_299,X_298))) = multiply(commutator(X_299,multiply(X_298,X_298)),X_298),
inference(resolve,[$cnf( $equal(multiply(commutator(X_299,multiply(X_298,X_298)),X_298),multiply(X_298,multiply(commutator(X_299,X_298),commutator(X_299,X_298)))) )],[refute_0_2643,refute_0_2644]) ).
cnf(refute_0_2646,plain,
multiply(X_90,multiply(commutator(X_325,X_90),commutator(X_325,X_90))) = multiply(commutator(X_325,multiply(X_90,X_90)),X_90),
inference(subst,[],[refute_0_2645:[bind(X_298,$fot(X_90)),bind(X_299,$fot(X_325))]]) ).
cnf(refute_0_2647,plain,
multiply(multiply(X_90,commutator(X_325,X_90)),commutator(X_325,X_90)) = multiply(X_90,multiply(commutator(X_325,X_90),commutator(X_325,X_90))),
inference(subst,[],[associativity:[bind(X,$fot(X_90)),bind(Y,$fot(commutator(X_325,X_90))),bind(Z,$fot(commutator(X_325,X_90)))]]) ).
cnf(refute_0_2648,plain,
( multiply(X_90,multiply(commutator(X_325,X_90),commutator(X_325,X_90))) != multiply(commutator(X_325,multiply(X_90,X_90)),X_90)
| multiply(multiply(X_90,commutator(X_325,X_90)),commutator(X_325,X_90)) != multiply(X_90,multiply(commutator(X_325,X_90),commutator(X_325,X_90)))
| multiply(multiply(X_90,commutator(X_325,X_90)),commutator(X_325,X_90)) = multiply(commutator(X_325,multiply(X_90,X_90)),X_90) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_90,commutator(X_325,X_90)),commutator(X_325,X_90)))),bind(Y0,$fot(multiply(X_90,multiply(commutator(X_325,X_90),commutator(X_325,X_90))))),bind(Z0,$fot(multiply(commutator(X_325,multiply(X_90,X_90)),X_90)))]]) ).
cnf(refute_0_2649,plain,
( multiply(X_90,multiply(commutator(X_325,X_90),commutator(X_325,X_90))) != multiply(commutator(X_325,multiply(X_90,X_90)),X_90)
| multiply(multiply(X_90,commutator(X_325,X_90)),commutator(X_325,X_90)) = multiply(commutator(X_325,multiply(X_90,X_90)),X_90) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_90,commutator(X_325,X_90)),commutator(X_325,X_90)),multiply(X_90,multiply(commutator(X_325,X_90),commutator(X_325,X_90)))) )],[refute_0_2647,refute_0_2648]) ).
cnf(refute_0_2650,plain,
multiply(multiply(X_90,commutator(X_325,X_90)),commutator(X_325,X_90)) = multiply(commutator(X_325,multiply(X_90,X_90)),X_90),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(commutator(X_325,X_90),commutator(X_325,X_90))),multiply(commutator(X_325,multiply(X_90,X_90)),X_90)) )],[refute_0_2646,refute_0_2649]) ).
cnf(refute_0_2651,plain,
inverse(multiply(multiply(X_90,commutator(X_325,X_90)),commutator(X_325,X_90))) = inverse(multiply(multiply(X_90,commutator(X_325,X_90)),commutator(X_325,X_90))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_90,commutator(X_325,X_90)),commutator(X_325,X_90))))]]) ).
cnf(refute_0_2652,plain,
( multiply(multiply(X_90,commutator(X_325,X_90)),commutator(X_325,X_90)) != multiply(commutator(X_325,multiply(X_90,X_90)),X_90)
| inverse(multiply(multiply(X_90,commutator(X_325,X_90)),commutator(X_325,X_90))) != inverse(multiply(multiply(X_90,commutator(X_325,X_90)),commutator(X_325,X_90)))
| inverse(multiply(multiply(X_90,commutator(X_325,X_90)),commutator(X_325,X_90))) = inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_90,commutator(X_325,X_90)),commutator(X_325,X_90))),inverse(multiply(multiply(X_90,commutator(X_325,X_90)),commutator(X_325,X_90)))) ),[1,0],$fot(multiply(commutator(X_325,multiply(X_90,X_90)),X_90))]]) ).
cnf(refute_0_2653,plain,
( multiply(multiply(X_90,commutator(X_325,X_90)),commutator(X_325,X_90)) != multiply(commutator(X_325,multiply(X_90,X_90)),X_90)
| inverse(multiply(multiply(X_90,commutator(X_325,X_90)),commutator(X_325,X_90))) = inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_90,commutator(X_325,X_90)),commutator(X_325,X_90))),inverse(multiply(multiply(X_90,commutator(X_325,X_90)),commutator(X_325,X_90)))) )],[refute_0_2651,refute_0_2652]) ).
cnf(refute_0_2654,plain,
inverse(multiply(multiply(X_90,commutator(X_325,X_90)),commutator(X_325,X_90))) = inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_90,commutator(X_325,X_90)),commutator(X_325,X_90)),multiply(commutator(X_325,multiply(X_90,X_90)),X_90)) )],[refute_0_2650,refute_0_2653]) ).
cnf(refute_0_2655,plain,
multiply(commutator(X_90,X_325),inverse(multiply(X_90,commutator(X_325,X_90)))) = inverse(multiply(multiply(X_90,commutator(X_325,X_90)),commutator(X_325,X_90))),
inference(subst,[],[refute_0_378:[bind(X_58,$fot(multiply(X_90,commutator(X_325,X_90)))),bind(X_65,$fot(X_90)),bind(X_66,$fot(X_325))]]) ).
cnf(refute_0_2656,plain,
( multiply(commutator(X_90,X_325),inverse(multiply(X_90,commutator(X_325,X_90)))) != inverse(multiply(multiply(X_90,commutator(X_325,X_90)),commutator(X_325,X_90)))
| inverse(multiply(multiply(X_90,commutator(X_325,X_90)),commutator(X_325,X_90))) != inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90))
| multiply(commutator(X_90,X_325),inverse(multiply(X_90,commutator(X_325,X_90)))) = inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_90,X_325),inverse(multiply(X_90,commutator(X_325,X_90)))))),bind(Y0,$fot(inverse(multiply(multiply(X_90,commutator(X_325,X_90)),commutator(X_325,X_90))))),bind(Z0,$fot(inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90))))]]) ).
cnf(refute_0_2657,plain,
( inverse(multiply(multiply(X_90,commutator(X_325,X_90)),commutator(X_325,X_90))) != inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90))
| multiply(commutator(X_90,X_325),inverse(multiply(X_90,commutator(X_325,X_90)))) = inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_90,X_325),inverse(multiply(X_90,commutator(X_325,X_90)))),inverse(multiply(multiply(X_90,commutator(X_325,X_90)),commutator(X_325,X_90)))) )],[refute_0_2655,refute_0_2656]) ).
cnf(refute_0_2658,plain,
multiply(commutator(X_90,X_325),inverse(multiply(X_90,commutator(X_325,X_90)))) = inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_90,commutator(X_325,X_90)),commutator(X_325,X_90))),inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90))) )],[refute_0_2654,refute_0_2657]) ).
cnf(refute_0_2659,plain,
multiply(commutator(X_90,X_325),inverse(X_90)) = inverse(multiply(X_90,commutator(X_325,X_90))),
inference(subst,[],[refute_0_378:[bind(X_58,$fot(X_90)),bind(X_65,$fot(X_90)),bind(X_66,$fot(X_325))]]) ).
cnf(refute_0_2660,plain,
multiply(commutator(X_90,X_325),multiply(commutator(X_90,X_325),inverse(X_90))) = multiply(commutator(X_90,X_325),multiply(commutator(X_90,X_325),inverse(X_90))),
introduced(tautology,[refl,[$fot(multiply(commutator(X_90,X_325),multiply(commutator(X_90,X_325),inverse(X_90))))]]) ).
cnf(refute_0_2661,plain,
( multiply(commutator(X_90,X_325),multiply(commutator(X_90,X_325),inverse(X_90))) != multiply(commutator(X_90,X_325),multiply(commutator(X_90,X_325),inverse(X_90)))
| multiply(commutator(X_90,X_325),inverse(X_90)) != inverse(multiply(X_90,commutator(X_325,X_90)))
| multiply(commutator(X_90,X_325),multiply(commutator(X_90,X_325),inverse(X_90))) = multiply(commutator(X_90,X_325),inverse(multiply(X_90,commutator(X_325,X_90)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_90,X_325),multiply(commutator(X_90,X_325),inverse(X_90))),multiply(commutator(X_90,X_325),multiply(commutator(X_90,X_325),inverse(X_90)))) ),[1,1],$fot(inverse(multiply(X_90,commutator(X_325,X_90))))]]) ).
cnf(refute_0_2662,plain,
( multiply(commutator(X_90,X_325),inverse(X_90)) != inverse(multiply(X_90,commutator(X_325,X_90)))
| multiply(commutator(X_90,X_325),multiply(commutator(X_90,X_325),inverse(X_90))) = multiply(commutator(X_90,X_325),inverse(multiply(X_90,commutator(X_325,X_90)))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_90,X_325),multiply(commutator(X_90,X_325),inverse(X_90))),multiply(commutator(X_90,X_325),multiply(commutator(X_90,X_325),inverse(X_90)))) )],[refute_0_2660,refute_0_2661]) ).
cnf(refute_0_2663,plain,
multiply(commutator(X_90,X_325),multiply(commutator(X_90,X_325),inverse(X_90))) = multiply(commutator(X_90,X_325),inverse(multiply(X_90,commutator(X_325,X_90)))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_90,X_325),inverse(X_90)),inverse(multiply(X_90,commutator(X_325,X_90)))) )],[refute_0_2659,refute_0_2662]) ).
cnf(refute_0_2664,plain,
( multiply(commutator(X_90,X_325),multiply(commutator(X_90,X_325),inverse(X_90))) != multiply(commutator(X_90,X_325),inverse(multiply(X_90,commutator(X_325,X_90))))
| multiply(commutator(X_90,X_325),inverse(multiply(X_90,commutator(X_325,X_90)))) != inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90))
| multiply(commutator(X_90,X_325),multiply(commutator(X_90,X_325),inverse(X_90))) = inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_90,X_325),multiply(commutator(X_90,X_325),inverse(X_90))))),bind(Y0,$fot(multiply(commutator(X_90,X_325),inverse(multiply(X_90,commutator(X_325,X_90)))))),bind(Z0,$fot(inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90))))]]) ).
cnf(refute_0_2665,plain,
( multiply(commutator(X_90,X_325),inverse(multiply(X_90,commutator(X_325,X_90)))) != inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90))
| multiply(commutator(X_90,X_325),multiply(commutator(X_90,X_325),inverse(X_90))) = inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_90,X_325),multiply(commutator(X_90,X_325),inverse(X_90))),multiply(commutator(X_90,X_325),inverse(multiply(X_90,commutator(X_325,X_90))))) )],[refute_0_2663,refute_0_2664]) ).
cnf(refute_0_2666,plain,
multiply(commutator(X_90,X_325),multiply(commutator(X_90,X_325),inverse(X_90))) = inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_90,X_325),inverse(multiply(X_90,commutator(X_325,X_90)))),inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90))) )],[refute_0_2658,refute_0_2665]) ).
cnf(refute_0_2667,plain,
multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90)) = multiply(commutator(X_90,X_325),multiply(commutator(X_90,X_325),inverse(X_90))),
inference(subst,[],[associativity:[bind(X,$fot(commutator(X_90,X_325))),bind(Y,$fot(commutator(X_90,X_325))),bind(Z,$fot(inverse(X_90)))]]) ).
cnf(refute_0_2668,plain,
( multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90)) != multiply(commutator(X_90,X_325),multiply(commutator(X_90,X_325),inverse(X_90)))
| multiply(commutator(X_90,X_325),multiply(commutator(X_90,X_325),inverse(X_90))) != inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90))
| multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90)) = inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90)))),bind(Y0,$fot(multiply(commutator(X_90,X_325),multiply(commutator(X_90,X_325),inverse(X_90))))),bind(Z0,$fot(inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90))))]]) ).
cnf(refute_0_2669,plain,
( multiply(commutator(X_90,X_325),multiply(commutator(X_90,X_325),inverse(X_90))) != inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90))
| multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90)) = inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90)),multiply(commutator(X_90,X_325),multiply(commutator(X_90,X_325),inverse(X_90)))) )],[refute_0_2667,refute_0_2668]) ).
cnf(refute_0_2670,plain,
multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90)) = inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_90,X_325),multiply(commutator(X_90,X_325),inverse(X_90))),inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90))) )],[refute_0_2666,refute_0_2669]) ).
cnf(refute_0_2671,plain,
multiply(X_90,multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90))) = multiply(X_90,multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90))),
introduced(tautology,[refl,[$fot(multiply(X_90,multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90))))]]) ).
cnf(refute_0_2672,plain,
( multiply(X_90,multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90))) != multiply(X_90,multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90)))
| multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90)) != inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90))
| multiply(X_90,multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90))) = multiply(X_90,inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_90,multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90))),multiply(X_90,multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90)))) ),[1,1],$fot(inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90)))]]) ).
cnf(refute_0_2673,plain,
( multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90)) != inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90))
| multiply(X_90,multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90))) = multiply(X_90,inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90))) ),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90))),multiply(X_90,multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90)))) )],[refute_0_2671,refute_0_2672]) ).
cnf(refute_0_2674,plain,
multiply(X_90,multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90))) = multiply(X_90,inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90))),
inference(resolve,[$cnf( $equal(multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90)),inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90))) )],[refute_0_2670,refute_0_2673]) ).
cnf(refute_0_2675,plain,
( multiply(X_90,multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90))) != multiply(X_90,inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90)))
| multiply(X_90,inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90))) != commutator(multiply(X_90,X_90),X_325)
| multiply(X_90,multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90))) = commutator(multiply(X_90,X_90),X_325) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_90,multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90))))),bind(Y0,$fot(multiply(X_90,inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90))))),bind(Z0,$fot(commutator(multiply(X_90,X_90),X_325)))]]) ).
cnf(refute_0_2676,plain,
( multiply(X_90,inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90))) != commutator(multiply(X_90,X_90),X_325)
| multiply(X_90,multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90))) = commutator(multiply(X_90,X_90),X_325) ),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90))),multiply(X_90,inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90)))) )],[refute_0_2674,refute_0_2675]) ).
cnf(refute_0_2677,plain,
multiply(X_90,multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90))) = commutator(multiply(X_90,X_90),X_325),
inference(resolve,[$cnf( $equal(multiply(X_90,inverse(multiply(commutator(X_325,multiply(X_90,X_90)),X_90))),commutator(multiply(X_90,X_90),X_325)) )],[refute_0_2549,refute_0_2676]) ).
cnf(refute_0_2678,plain,
( multiply(X_90,multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90))) != multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),identity)
| multiply(X_90,multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90))) != commutator(multiply(X_90,X_90),X_325)
| commutator(multiply(X_90,X_90),X_325) = multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_90,multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90))),multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),identity)) ),[0],$fot(commutator(multiply(X_90,X_90),X_325))]]) ).
cnf(refute_0_2679,plain,
( multiply(X_90,multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90))) != multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),identity)
| commutator(multiply(X_90,X_90),X_325) = multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),identity) ),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90))),commutator(multiply(X_90,X_90),X_325)) )],[refute_0_2677,refute_0_2678]) ).
cnf(refute_0_2680,plain,
multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),identity) = multiply(commutator(X_90,X_325),commutator(X_90,X_325)),
inference(subst,[],[refute_0_100:[bind(X_16,$fot(multiply(commutator(X_90,X_325),commutator(X_90,X_325))))]]) ).
cnf(refute_0_2681,plain,
( multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),identity) != multiply(commutator(X_90,X_325),commutator(X_90,X_325))
| commutator(multiply(X_90,X_90),X_325) != multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),identity)
| commutator(multiply(X_90,X_90),X_325) = multiply(commutator(X_90,X_325),commutator(X_90,X_325)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_90,X_90),X_325),multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),identity)) ),[1],$fot(multiply(commutator(X_90,X_325),commutator(X_90,X_325)))]]) ).
cnf(refute_0_2682,plain,
( commutator(multiply(X_90,X_90),X_325) != multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),identity)
| commutator(multiply(X_90,X_90),X_325) = multiply(commutator(X_90,X_325),commutator(X_90,X_325)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),identity),multiply(commutator(X_90,X_325),commutator(X_90,X_325))) )],[refute_0_2680,refute_0_2681]) ).
cnf(refute_0_2683,plain,
( multiply(X_90,multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90))) != multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),identity)
| commutator(multiply(X_90,X_90),X_325) = multiply(commutator(X_90,X_325),commutator(X_90,X_325)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_90,X_90),X_325),multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),identity)) )],[refute_0_2679,refute_0_2682]) ).
cnf(refute_0_2684,plain,
commutator(multiply(X_90,X_90),X_325) = multiply(commutator(X_90,X_325),commutator(X_90,X_325)),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),inverse(X_90))),multiply(multiply(commutator(X_90,X_325),commutator(X_90,X_325)),identity)) )],[refute_0_2544,refute_0_2683]) ).
cnf(refute_0_2685,plain,
( commutator(multiply(X_90,X_90),X_325) != multiply(commutator(X_90,X_325),commutator(X_90,X_325))
| multiply(commutator(X_90,X_325),commutator(X_90,X_325)) = commutator(multiply(X_90,X_90),X_325) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(multiply(X_90,X_90),X_325))),bind(Y0,$fot(multiply(commutator(X_90,X_325),commutator(X_90,X_325))))]]) ).
cnf(refute_0_2686,plain,
multiply(commutator(X_90,X_325),commutator(X_90,X_325)) = commutator(multiply(X_90,X_90),X_325),
inference(resolve,[$cnf( $equal(commutator(multiply(X_90,X_90),X_325),multiply(commutator(X_90,X_325),commutator(X_90,X_325))) )],[refute_0_2684,refute_0_2685]) ).
cnf(refute_0_2687,plain,
multiply(commutator(X_471,X_470),commutator(X_471,X_470)) = commutator(multiply(X_471,X_471),X_470),
inference(subst,[],[refute_0_2686:[bind(X_325,$fot(X_470)),bind(X_90,$fot(X_471))]]) ).
cnf(refute_0_2688,plain,
multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))) = multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))),
introduced(tautology,[refl,[$fot(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))]]) ).
cnf(refute_0_2689,plain,
( multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))) != multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))
| multiply(commutator(X_471,X_470),commutator(X_471,X_470)) != commutator(multiply(X_471,X_471),X_470)
| multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))) = multiply(X_27,commutator(multiply(X_471,X_471),X_470)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))),multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))) ),[1,1],$fot(commutator(multiply(X_471,X_471),X_470))]]) ).
cnf(refute_0_2690,plain,
( multiply(commutator(X_471,X_470),commutator(X_471,X_470)) != commutator(multiply(X_471,X_471),X_470)
| multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))) = multiply(X_27,commutator(multiply(X_471,X_471),X_470)) ),
inference(resolve,[$cnf( $equal(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))),multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))) )],[refute_0_2688,refute_0_2689]) ).
cnf(refute_0_2691,plain,
multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))) = multiply(X_27,commutator(multiply(X_471,X_471),X_470)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_471,X_470),commutator(X_471,X_470)),commutator(multiply(X_471,X_471),X_470)) )],[refute_0_2687,refute_0_2690]) ).
cnf(refute_0_2692,plain,
commutator(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))),X_470) = commutator(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))),X_470),
introduced(tautology,[refl,[$fot(commutator(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))),X_470))]]) ).
cnf(refute_0_2693,plain,
( multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))) != multiply(X_27,commutator(multiply(X_471,X_471),X_470))
| commutator(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))),X_470) != commutator(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))),X_470)
| commutator(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))),X_470) = commutator(multiply(X_27,commutator(multiply(X_471,X_471),X_470)),X_470) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))),X_470),commutator(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))),X_470)) ),[1,0],$fot(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))]]) ).
cnf(refute_0_2694,plain,
( multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))) != multiply(X_27,commutator(multiply(X_471,X_471),X_470))
| commutator(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))),X_470) = commutator(multiply(X_27,commutator(multiply(X_471,X_471),X_470)),X_470) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))),X_470),commutator(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))),X_470)) )],[refute_0_2692,refute_0_2693]) ).
cnf(refute_0_2695,plain,
commutator(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))),X_470) = commutator(multiply(X_27,commutator(multiply(X_471,X_471),X_470)),X_470),
inference(resolve,[$cnf( $equal(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))),multiply(X_27,commutator(multiply(X_471,X_471),X_470))) )],[refute_0_2691,refute_0_2694]) ).
cnf(refute_0_2696,plain,
commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))) = commutator(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))),X_470),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))),bind(X_110,$fot(X_470))]]) ).
cnf(refute_0_2697,plain,
( commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))) != commutator(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))),X_470)
| commutator(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))),X_470) != commutator(multiply(X_27,commutator(multiply(X_471,X_471),X_470)),X_470)
| commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))) = commutator(multiply(X_27,commutator(multiply(X_471,X_471),X_470)),X_470) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))),bind(Y0,$fot(commutator(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))),X_470))),bind(Z0,$fot(commutator(multiply(X_27,commutator(multiply(X_471,X_471),X_470)),X_470)))]]) ).
cnf(refute_0_2698,plain,
( commutator(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))),X_470) != commutator(multiply(X_27,commutator(multiply(X_471,X_471),X_470)),X_470)
| commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))) = commutator(multiply(X_27,commutator(multiply(X_471,X_471),X_470)),X_470) ),
inference(resolve,[$cnf( $equal(commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))),commutator(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))),X_470)) )],[refute_0_2696,refute_0_2697]) ).
cnf(refute_0_2699,plain,
commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))) = commutator(multiply(X_27,commutator(multiply(X_471,X_471),X_470)),X_470),
inference(resolve,[$cnf( $equal(commutator(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))),X_470),commutator(multiply(X_27,commutator(multiply(X_471,X_471),X_470)),X_470)) )],[refute_0_2695,refute_0_2698]) ).
cnf(refute_0_2700,plain,
commutator(X_471,commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))) = commutator(X_471,commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))),
introduced(tautology,[refl,[$fot(commutator(X_471,commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))))]]) ).
cnf(refute_0_2701,plain,
( commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))) != commutator(multiply(X_27,commutator(multiply(X_471,X_471),X_470)),X_470)
| commutator(X_471,commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))) != commutator(X_471,commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))
| commutator(X_471,commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))) = commutator(X_471,commutator(multiply(X_27,commutator(multiply(X_471,X_471),X_470)),X_470)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_471,commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))),commutator(X_471,commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))) ),[1,1],$fot(commutator(multiply(X_27,commutator(multiply(X_471,X_471),X_470)),X_470))]]) ).
cnf(refute_0_2702,plain,
( commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))) != commutator(multiply(X_27,commutator(multiply(X_471,X_471),X_470)),X_470)
| commutator(X_471,commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))) = commutator(X_471,commutator(multiply(X_27,commutator(multiply(X_471,X_471),X_470)),X_470)) ),
inference(resolve,[$cnf( $equal(commutator(X_471,commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))),commutator(X_471,commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))) )],[refute_0_2700,refute_0_2701]) ).
cnf(refute_0_2703,plain,
commutator(X_471,commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))) = commutator(X_471,commutator(multiply(X_27,commutator(multiply(X_471,X_471),X_470)),X_470)),
inference(resolve,[$cnf( $equal(commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))),commutator(multiply(X_27,commutator(multiply(X_471,X_471),X_470)),X_470)) )],[refute_0_2699,refute_0_2702]) ).
cnf(refute_0_2704,plain,
( commutator(X_471,commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))) != commutator(X_471,commutator(multiply(X_27,commutator(multiply(X_471,X_471),X_470)),X_470))
| commutator(X_471,commutator(multiply(X_27,commutator(multiply(X_471,X_471),X_470)),X_470)) != commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470))))
| commutator(X_471,commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))) = commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(X_471,commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))))),bind(Y0,$fot(commutator(X_471,commutator(multiply(X_27,commutator(multiply(X_471,X_471),X_470)),X_470)))),bind(Z0,$fot(commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))]]) ).
cnf(refute_0_2705,plain,
( commutator(X_471,commutator(multiply(X_27,commutator(multiply(X_471,X_471),X_470)),X_470)) != commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470))))
| commutator(X_471,commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))) = commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470)))) ),
inference(resolve,[$cnf( $equal(commutator(X_471,commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))),commutator(X_471,commutator(multiply(X_27,commutator(multiply(X_471,X_471),X_470)),X_470))) )],[refute_0_2703,refute_0_2704]) ).
cnf(refute_0_2706,plain,
commutator(X_471,commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))) = commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),
inference(resolve,[$cnf( $equal(commutator(X_471,commutator(multiply(X_27,commutator(multiply(X_471,X_471),X_470)),X_470)),commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470))))) )],[refute_0_2281,refute_0_2705]) ).
cnf(refute_0_2707,plain,
( commutator(X_471,commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))) != multiply(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))))
| commutator(X_471,commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))) != commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470))))
| commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470)))) = multiply(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_471,commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))),multiply(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))))) ),[0],$fot(commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))]]) ).
cnf(refute_0_2708,plain,
( commutator(X_471,commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))) != multiply(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))))
| commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470)))) = multiply(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))) ),
inference(resolve,[$cnf( $equal(commutator(X_471,commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))),commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470))))) )],[refute_0_2706,refute_0_2707]) ).
cnf(refute_0_2709,plain,
multiply(multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) = multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))),
inference(subst,[],[associativity:[bind(X,$fot(X_27)),bind(Y,$fot(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))))),bind(Z,$fot(multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))]]) ).
cnf(refute_0_2710,plain,
inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))) = inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))]]) ).
cnf(refute_0_2711,plain,
( multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))) != multiply(X_27,commutator(multiply(X_471,X_471),X_470))
| inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))) != inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))
| inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))) = inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))),inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))) ),[1,0],$fot(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))]]) ).
cnf(refute_0_2712,plain,
( multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))) != multiply(X_27,commutator(multiply(X_471,X_471),X_470))
| inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))) = inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))),inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))) )],[refute_0_2710,refute_0_2711]) ).
cnf(refute_0_2713,plain,
inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))) = inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))),
inference(resolve,[$cnf( $equal(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))),multiply(X_27,commutator(multiply(X_471,X_471),X_470))) )],[refute_0_2691,refute_0_2712]) ).
cnf(refute_0_2714,plain,
multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))) = multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))),
introduced(tautology,[refl,[$fot(multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))]]) ).
cnf(refute_0_2715,plain,
( multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))) != multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))
| inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))) != inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))
| multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))) = multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))),multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))) ),[1,1],$fot(inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))]]) ).
cnf(refute_0_2716,plain,
( inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))) != inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))
| multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))) = multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))) ),
inference(resolve,[$cnf( $equal(multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))),multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))) )],[refute_0_2714,refute_0_2715]) ).
cnf(refute_0_2717,plain,
multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))) = multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))),inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))) )],[refute_0_2713,refute_0_2716]) ).
cnf(refute_0_2718,plain,
multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))) = multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))),
introduced(tautology,[refl,[$fot(multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))))]]) ).
cnf(refute_0_2719,plain,
( multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))) != multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))
| multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))) != multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))
| multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))) = multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))) ),[1,1],$fot(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))]]) ).
cnf(refute_0_2720,plain,
( multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))) != multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))
| multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))) = multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))) ),
inference(resolve,[$cnf( $equal(multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))) )],[refute_0_2718,refute_0_2719]) ).
cnf(refute_0_2721,plain,
multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))) = multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))),
inference(resolve,[$cnf( $equal(multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))),multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))) )],[refute_0_2717,refute_0_2720]) ).
cnf(refute_0_2722,plain,
multiply(multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))) = multiply(multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))),
introduced(tautology,[refl,[$fot(multiply(multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))))]]) ).
cnf(refute_0_2723,plain,
( multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))) != multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))
| multiply(multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))) != multiply(multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))))
| multiply(multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))) = multiply(multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))),multiply(multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))))) ),[1,1],$fot(multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))]]) ).
cnf(refute_0_2724,plain,
( multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))) != multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))
| multiply(multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))) = multiply(multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))),multiply(multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))))) )],[refute_0_2722,refute_0_2723]) ).
cnf(refute_0_2725,plain,
multiply(multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))) = multiply(multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))),
inference(resolve,[$cnf( $equal(multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) )],[refute_0_2721,refute_0_2724]) ).
cnf(refute_0_2726,plain,
multiply(multiply(X_471,commutator(X_471,commutator(X_470,X_27))),commutator(X_470,X_471)) = multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))),
inference(subst,[],[associativity:[bind(X,$fot(X_471)),bind(Y,$fot(commutator(X_471,commutator(X_470,X_27)))),bind(Z,$fot(commutator(X_470,X_471)))]]) ).
cnf(refute_0_2727,plain,
multiply(X_470,multiply(multiply(X_471,commutator(X_471,commutator(X_470,X_27))),commutator(X_470,X_471))) = multiply(X_470,multiply(multiply(X_471,commutator(X_471,commutator(X_470,X_27))),commutator(X_470,X_471))),
introduced(tautology,[refl,[$fot(multiply(X_470,multiply(multiply(X_471,commutator(X_471,commutator(X_470,X_27))),commutator(X_470,X_471))))]]) ).
cnf(refute_0_2728,plain,
( multiply(X_470,multiply(multiply(X_471,commutator(X_471,commutator(X_470,X_27))),commutator(X_470,X_471))) != multiply(X_470,multiply(multiply(X_471,commutator(X_471,commutator(X_470,X_27))),commutator(X_470,X_471)))
| multiply(multiply(X_471,commutator(X_471,commutator(X_470,X_27))),commutator(X_470,X_471)) != multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))
| multiply(X_470,multiply(multiply(X_471,commutator(X_471,commutator(X_470,X_27))),commutator(X_470,X_471))) = multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_470,multiply(multiply(X_471,commutator(X_471,commutator(X_470,X_27))),commutator(X_470,X_471))),multiply(X_470,multiply(multiply(X_471,commutator(X_471,commutator(X_470,X_27))),commutator(X_470,X_471)))) ),[1,1],$fot(multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))]]) ).
cnf(refute_0_2729,plain,
( multiply(multiply(X_471,commutator(X_471,commutator(X_470,X_27))),commutator(X_470,X_471)) != multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))
| multiply(X_470,multiply(multiply(X_471,commutator(X_471,commutator(X_470,X_27))),commutator(X_470,X_471))) = multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))) ),
inference(resolve,[$cnf( $equal(multiply(X_470,multiply(multiply(X_471,commutator(X_471,commutator(X_470,X_27))),commutator(X_470,X_471))),multiply(X_470,multiply(multiply(X_471,commutator(X_471,commutator(X_470,X_27))),commutator(X_470,X_471)))) )],[refute_0_2727,refute_0_2728]) ).
cnf(refute_0_2730,plain,
multiply(X_470,multiply(multiply(X_471,commutator(X_471,commutator(X_470,X_27))),commutator(X_470,X_471))) = multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_471,commutator(X_471,commutator(X_470,X_27))),commutator(X_470,X_471)),multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))) )],[refute_0_2726,refute_0_2729]) ).
cnf(refute_0_2731,plain,
multiply(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))),commutator(X_470,X_471)) = multiply(X_470,multiply(multiply(X_471,commutator(X_471,commutator(X_470,X_27))),commutator(X_470,X_471))),
inference(subst,[],[associativity:[bind(X,$fot(X_470)),bind(Y,$fot(multiply(X_471,commutator(X_471,commutator(X_470,X_27))))),bind(Z,$fot(commutator(X_470,X_471)))]]) ).
cnf(refute_0_2732,plain,
( multiply(X_470,multiply(multiply(X_471,commutator(X_471,commutator(X_470,X_27))),commutator(X_470,X_471))) != multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))
| multiply(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))),commutator(X_470,X_471)) != multiply(X_470,multiply(multiply(X_471,commutator(X_471,commutator(X_470,X_27))),commutator(X_470,X_471)))
| multiply(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))),commutator(X_470,X_471)) = multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))),commutator(X_470,X_471)))),bind(Y0,$fot(multiply(X_470,multiply(multiply(X_471,commutator(X_471,commutator(X_470,X_27))),commutator(X_470,X_471))))),bind(Z0,$fot(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))))]]) ).
cnf(refute_0_2733,plain,
( multiply(X_470,multiply(multiply(X_471,commutator(X_471,commutator(X_470,X_27))),commutator(X_470,X_471))) != multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))
| multiply(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))),commutator(X_470,X_471)) = multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))),commutator(X_470,X_471)),multiply(X_470,multiply(multiply(X_471,commutator(X_471,commutator(X_470,X_27))),commutator(X_470,X_471)))) )],[refute_0_2731,refute_0_2732]) ).
cnf(refute_0_2734,plain,
multiply(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))),commutator(X_470,X_471)) = multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))),
inference(resolve,[$cnf( $equal(multiply(X_470,multiply(multiply(X_471,commutator(X_471,commutator(X_470,X_27))),commutator(X_470,X_471))),multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))) )],[refute_0_2730,refute_0_2733]) ).
cnf(refute_0_2735,plain,
inverse(multiply(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))),commutator(X_470,X_471))) = inverse(multiply(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))),commutator(X_470,X_471))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))),commutator(X_470,X_471))))]]) ).
cnf(refute_0_2736,plain,
( multiply(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))),commutator(X_470,X_471)) != multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))
| inverse(multiply(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))),commutator(X_470,X_471))) != inverse(multiply(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))),commutator(X_470,X_471)))
| inverse(multiply(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))),commutator(X_470,X_471))) = inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))),commutator(X_470,X_471))),inverse(multiply(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))),commutator(X_470,X_471)))) ),[1,0],$fot(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))]]) ).
cnf(refute_0_2737,plain,
( multiply(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))),commutator(X_470,X_471)) != multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))
| inverse(multiply(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))),commutator(X_470,X_471))) = inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))),commutator(X_470,X_471))),inverse(multiply(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))),commutator(X_470,X_471)))) )],[refute_0_2735,refute_0_2736]) ).
cnf(refute_0_2738,plain,
inverse(multiply(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))),commutator(X_470,X_471))) = inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))),commutator(X_470,X_471)),multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))) )],[refute_0_2734,refute_0_2737]) ).
cnf(refute_0_2739,plain,
multiply(commutator(X_471,X_470),inverse(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))))) = inverse(multiply(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))),commutator(X_470,X_471))),
inference(subst,[],[refute_0_378:[bind(X_58,$fot(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))))),bind(X_65,$fot(X_471)),bind(X_66,$fot(X_470))]]) ).
cnf(refute_0_2740,plain,
( multiply(commutator(X_471,X_470),inverse(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))))) != inverse(multiply(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))),commutator(X_470,X_471)))
| inverse(multiply(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))),commutator(X_470,X_471))) != inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))
| multiply(commutator(X_471,X_470),inverse(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))))) = inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_471,X_470),inverse(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))))))),bind(Y0,$fot(inverse(multiply(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))),commutator(X_470,X_471))))),bind(Z0,$fot(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))))]]) ).
cnf(refute_0_2741,plain,
( inverse(multiply(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))),commutator(X_470,X_471))) != inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))
| multiply(commutator(X_471,X_470),inverse(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))))) = inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_471,X_470),inverse(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))))),inverse(multiply(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))),commutator(X_470,X_471)))) )],[refute_0_2739,refute_0_2740]) ).
cnf(refute_0_2742,plain,
multiply(commutator(X_471,X_470),inverse(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))))) = inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))),commutator(X_470,X_471))),inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))) )],[refute_0_2738,refute_0_2741]) ).
cnf(refute_0_2743,plain,
commutator(commutator(X_471,X_470),X_27) = commutator(X_471,commutator(X_470,X_27)),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(X_471)),bind(Y,$fot(X_470)),bind(Z,$fot(X_27))]]) ).
cnf(refute_0_2744,plain,
multiply(X_471,commutator(commutator(X_471,X_470),X_27)) = multiply(X_471,commutator(commutator(X_471,X_470),X_27)),
introduced(tautology,[refl,[$fot(multiply(X_471,commutator(commutator(X_471,X_470),X_27)))]]) ).
cnf(refute_0_2745,plain,
( multiply(X_471,commutator(commutator(X_471,X_470),X_27)) != multiply(X_471,commutator(commutator(X_471,X_470),X_27))
| commutator(commutator(X_471,X_470),X_27) != commutator(X_471,commutator(X_470,X_27))
| multiply(X_471,commutator(commutator(X_471,X_470),X_27)) = multiply(X_471,commutator(X_471,commutator(X_470,X_27))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_471,commutator(commutator(X_471,X_470),X_27)),multiply(X_471,commutator(commutator(X_471,X_470),X_27))) ),[1,1],$fot(commutator(X_471,commutator(X_470,X_27)))]]) ).
cnf(refute_0_2746,plain,
( commutator(commutator(X_471,X_470),X_27) != commutator(X_471,commutator(X_470,X_27))
| multiply(X_471,commutator(commutator(X_471,X_470),X_27)) = multiply(X_471,commutator(X_471,commutator(X_470,X_27))) ),
inference(resolve,[$cnf( $equal(multiply(X_471,commutator(commutator(X_471,X_470),X_27)),multiply(X_471,commutator(commutator(X_471,X_470),X_27))) )],[refute_0_2744,refute_0_2745]) ).
cnf(refute_0_2747,plain,
multiply(X_471,commutator(commutator(X_471,X_470),X_27)) = multiply(X_471,commutator(X_471,commutator(X_470,X_27))),
inference(resolve,[$cnf( $equal(commutator(commutator(X_471,X_470),X_27),commutator(X_471,commutator(X_470,X_27))) )],[refute_0_2743,refute_0_2746]) ).
cnf(refute_0_2748,plain,
multiply(X_470,multiply(X_471,commutator(commutator(X_471,X_470),X_27))) = multiply(X_470,multiply(X_471,commutator(commutator(X_471,X_470),X_27))),
introduced(tautology,[refl,[$fot(multiply(X_470,multiply(X_471,commutator(commutator(X_471,X_470),X_27))))]]) ).
cnf(refute_0_2749,plain,
( multiply(X_470,multiply(X_471,commutator(commutator(X_471,X_470),X_27))) != multiply(X_470,multiply(X_471,commutator(commutator(X_471,X_470),X_27)))
| multiply(X_471,commutator(commutator(X_471,X_470),X_27)) != multiply(X_471,commutator(X_471,commutator(X_470,X_27)))
| multiply(X_470,multiply(X_471,commutator(commutator(X_471,X_470),X_27))) = multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_470,multiply(X_471,commutator(commutator(X_471,X_470),X_27))),multiply(X_470,multiply(X_471,commutator(commutator(X_471,X_470),X_27)))) ),[1,1],$fot(multiply(X_471,commutator(X_471,commutator(X_470,X_27))))]]) ).
cnf(refute_0_2750,plain,
( multiply(X_471,commutator(commutator(X_471,X_470),X_27)) != multiply(X_471,commutator(X_471,commutator(X_470,X_27)))
| multiply(X_470,multiply(X_471,commutator(commutator(X_471,X_470),X_27))) = multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))) ),
inference(resolve,[$cnf( $equal(multiply(X_470,multiply(X_471,commutator(commutator(X_471,X_470),X_27))),multiply(X_470,multiply(X_471,commutator(commutator(X_471,X_470),X_27)))) )],[refute_0_2748,refute_0_2749]) ).
cnf(refute_0_2751,plain,
multiply(X_470,multiply(X_471,commutator(commutator(X_471,X_470),X_27))) = multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))),
inference(resolve,[$cnf( $equal(multiply(X_471,commutator(commutator(X_471,X_470),X_27)),multiply(X_471,commutator(X_471,commutator(X_470,X_27)))) )],[refute_0_2747,refute_0_2750]) ).
cnf(refute_0_2752,plain,
multiply(multiply(X_470,X_471),commutator(commutator(X_471,X_470),X_27)) = multiply(X_470,multiply(X_471,commutator(commutator(X_471,X_470),X_27))),
inference(subst,[],[associativity:[bind(X,$fot(X_470)),bind(Y,$fot(X_471)),bind(Z,$fot(commutator(commutator(X_471,X_470),X_27)))]]) ).
cnf(refute_0_2753,plain,
( multiply(X_470,multiply(X_471,commutator(commutator(X_471,X_470),X_27))) != multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27))))
| multiply(multiply(X_470,X_471),commutator(commutator(X_471,X_470),X_27)) != multiply(X_470,multiply(X_471,commutator(commutator(X_471,X_470),X_27)))
| multiply(multiply(X_470,X_471),commutator(commutator(X_471,X_470),X_27)) = multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_470,X_471),commutator(commutator(X_471,X_470),X_27)))),bind(Y0,$fot(multiply(X_470,multiply(X_471,commutator(commutator(X_471,X_470),X_27))))),bind(Z0,$fot(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27))))))]]) ).
cnf(refute_0_2754,plain,
( multiply(X_470,multiply(X_471,commutator(commutator(X_471,X_470),X_27))) != multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27))))
| multiply(multiply(X_470,X_471),commutator(commutator(X_471,X_470),X_27)) = multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_470,X_471),commutator(commutator(X_471,X_470),X_27)),multiply(X_470,multiply(X_471,commutator(commutator(X_471,X_470),X_27)))) )],[refute_0_2752,refute_0_2753]) ).
cnf(refute_0_2755,plain,
multiply(multiply(X_470,X_471),commutator(commutator(X_471,X_470),X_27)) = multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))),
inference(resolve,[$cnf( $equal(multiply(X_470,multiply(X_471,commutator(commutator(X_471,X_470),X_27))),multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27))))) )],[refute_0_2751,refute_0_2754]) ).
cnf(refute_0_2756,plain,
inverse(multiply(multiply(X_470,X_471),commutator(commutator(X_471,X_470),X_27))) = inverse(multiply(multiply(X_470,X_471),commutator(commutator(X_471,X_470),X_27))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_470,X_471),commutator(commutator(X_471,X_470),X_27))))]]) ).
cnf(refute_0_2757,plain,
( multiply(multiply(X_470,X_471),commutator(commutator(X_471,X_470),X_27)) != multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27))))
| inverse(multiply(multiply(X_470,X_471),commutator(commutator(X_471,X_470),X_27))) != inverse(multiply(multiply(X_470,X_471),commutator(commutator(X_471,X_470),X_27)))
| inverse(multiply(multiply(X_470,X_471),commutator(commutator(X_471,X_470),X_27))) = inverse(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_470,X_471),commutator(commutator(X_471,X_470),X_27))),inverse(multiply(multiply(X_470,X_471),commutator(commutator(X_471,X_470),X_27)))) ),[1,0],$fot(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))))]]) ).
cnf(refute_0_2758,plain,
( multiply(multiply(X_470,X_471),commutator(commutator(X_471,X_470),X_27)) != multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27))))
| inverse(multiply(multiply(X_470,X_471),commutator(commutator(X_471,X_470),X_27))) = inverse(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_470,X_471),commutator(commutator(X_471,X_470),X_27))),inverse(multiply(multiply(X_470,X_471),commutator(commutator(X_471,X_470),X_27)))) )],[refute_0_2756,refute_0_2757]) ).
cnf(refute_0_2759,plain,
inverse(multiply(multiply(X_470,X_471),commutator(commutator(X_471,X_470),X_27))) = inverse(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27))))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_470,X_471),commutator(commutator(X_471,X_470),X_27)),multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27))))) )],[refute_0_2755,refute_0_2758]) ).
cnf(refute_0_2760,plain,
multiply(commutator(X_27,commutator(X_471,X_470)),inverse(multiply(X_470,X_471))) = inverse(multiply(multiply(X_470,X_471),commutator(commutator(X_471,X_470),X_27))),
inference(subst,[],[refute_0_378:[bind(X_58,$fot(multiply(X_470,X_471))),bind(X_65,$fot(X_27)),bind(X_66,$fot(commutator(X_471,X_470)))]]) ).
cnf(refute_0_2761,plain,
( multiply(commutator(X_27,commutator(X_471,X_470)),inverse(multiply(X_470,X_471))) != inverse(multiply(multiply(X_470,X_471),commutator(commutator(X_471,X_470),X_27)))
| inverse(multiply(multiply(X_470,X_471),commutator(commutator(X_471,X_470),X_27))) != inverse(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))))
| multiply(commutator(X_27,commutator(X_471,X_470)),inverse(multiply(X_470,X_471))) = inverse(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_27,commutator(X_471,X_470)),inverse(multiply(X_470,X_471))))),bind(Y0,$fot(inverse(multiply(multiply(X_470,X_471),commutator(commutator(X_471,X_470),X_27))))),bind(Z0,$fot(inverse(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))))))]]) ).
cnf(refute_0_2762,plain,
( inverse(multiply(multiply(X_470,X_471),commutator(commutator(X_471,X_470),X_27))) != inverse(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))))
| multiply(commutator(X_27,commutator(X_471,X_470)),inverse(multiply(X_470,X_471))) = inverse(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27))))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_27,commutator(X_471,X_470)),inverse(multiply(X_470,X_471))),inverse(multiply(multiply(X_470,X_471),commutator(commutator(X_471,X_470),X_27)))) )],[refute_0_2760,refute_0_2761]) ).
cnf(refute_0_2763,plain,
multiply(commutator(X_27,commutator(X_471,X_470)),inverse(multiply(X_470,X_471))) = inverse(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27))))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_470,X_471),commutator(commutator(X_471,X_470),X_27))),inverse(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))))) )],[refute_0_2759,refute_0_2762]) ).
cnf(refute_0_2764,plain,
multiply(commutator(X_471,X_470),multiply(commutator(X_27,commutator(X_471,X_470)),inverse(multiply(X_470,X_471)))) = multiply(commutator(X_471,X_470),multiply(commutator(X_27,commutator(X_471,X_470)),inverse(multiply(X_470,X_471)))),
introduced(tautology,[refl,[$fot(multiply(commutator(X_471,X_470),multiply(commutator(X_27,commutator(X_471,X_470)),inverse(multiply(X_470,X_471)))))]]) ).
cnf(refute_0_2765,plain,
( multiply(commutator(X_27,commutator(X_471,X_470)),inverse(multiply(X_470,X_471))) != inverse(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))))
| multiply(commutator(X_471,X_470),multiply(commutator(X_27,commutator(X_471,X_470)),inverse(multiply(X_470,X_471)))) != multiply(commutator(X_471,X_470),multiply(commutator(X_27,commutator(X_471,X_470)),inverse(multiply(X_470,X_471))))
| multiply(commutator(X_471,X_470),multiply(commutator(X_27,commutator(X_471,X_470)),inverse(multiply(X_470,X_471)))) = multiply(commutator(X_471,X_470),inverse(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_471,X_470),multiply(commutator(X_27,commutator(X_471,X_470)),inverse(multiply(X_470,X_471)))),multiply(commutator(X_471,X_470),multiply(commutator(X_27,commutator(X_471,X_470)),inverse(multiply(X_470,X_471))))) ),[1,1],$fot(inverse(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27))))))]]) ).
cnf(refute_0_2766,plain,
( multiply(commutator(X_27,commutator(X_471,X_470)),inverse(multiply(X_470,X_471))) != inverse(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))))
| multiply(commutator(X_471,X_470),multiply(commutator(X_27,commutator(X_471,X_470)),inverse(multiply(X_470,X_471)))) = multiply(commutator(X_471,X_470),inverse(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_471,X_470),multiply(commutator(X_27,commutator(X_471,X_470)),inverse(multiply(X_470,X_471)))),multiply(commutator(X_471,X_470),multiply(commutator(X_27,commutator(X_471,X_470)),inverse(multiply(X_470,X_471))))) )],[refute_0_2764,refute_0_2765]) ).
cnf(refute_0_2767,plain,
multiply(commutator(X_471,X_470),multiply(commutator(X_27,commutator(X_471,X_470)),inverse(multiply(X_470,X_471)))) = multiply(commutator(X_471,X_470),inverse(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_27,commutator(X_471,X_470)),inverse(multiply(X_470,X_471))),inverse(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))))) )],[refute_0_2763,refute_0_2766]) ).
cnf(refute_0_2768,plain,
( multiply(commutator(X_471,X_470),multiply(commutator(X_27,commutator(X_471,X_470)),inverse(multiply(X_470,X_471)))) != multiply(commutator(X_471,X_470),inverse(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27))))))
| multiply(commutator(X_471,X_470),inverse(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))))) != inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))
| multiply(commutator(X_471,X_470),multiply(commutator(X_27,commutator(X_471,X_470)),inverse(multiply(X_470,X_471)))) = inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_471,X_470),multiply(commutator(X_27,commutator(X_471,X_470)),inverse(multiply(X_470,X_471)))))),bind(Y0,$fot(multiply(commutator(X_471,X_470),inverse(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))))))),bind(Z0,$fot(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))))]]) ).
cnf(refute_0_2769,plain,
( multiply(commutator(X_471,X_470),inverse(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))))) != inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))
| multiply(commutator(X_471,X_470),multiply(commutator(X_27,commutator(X_471,X_470)),inverse(multiply(X_470,X_471)))) = inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_471,X_470),multiply(commutator(X_27,commutator(X_471,X_470)),inverse(multiply(X_470,X_471)))),multiply(commutator(X_471,X_470),inverse(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27))))))) )],[refute_0_2767,refute_0_2768]) ).
cnf(refute_0_2770,plain,
multiply(commutator(X_471,X_470),multiply(commutator(X_27,commutator(X_471,X_470)),inverse(multiply(X_470,X_471)))) = inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_471,X_470),inverse(multiply(X_470,multiply(X_471,commutator(X_471,commutator(X_470,X_27)))))),inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))) )],[refute_0_2742,refute_0_2769]) ).
cnf(refute_0_2771,plain,
multiply(multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))),inverse(multiply(X_470,X_471))) = multiply(commutator(X_471,X_470),multiply(commutator(X_27,commutator(X_471,X_470)),inverse(multiply(X_470,X_471)))),
inference(subst,[],[associativity:[bind(X,$fot(commutator(X_471,X_470))),bind(Y,$fot(commutator(X_27,commutator(X_471,X_470)))),bind(Z,$fot(inverse(multiply(X_470,X_471))))]]) ).
cnf(refute_0_2772,plain,
( multiply(multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))),inverse(multiply(X_470,X_471))) != multiply(commutator(X_471,X_470),multiply(commutator(X_27,commutator(X_471,X_470)),inverse(multiply(X_470,X_471))))
| multiply(commutator(X_471,X_470),multiply(commutator(X_27,commutator(X_471,X_470)),inverse(multiply(X_470,X_471)))) != inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))
| multiply(multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))),inverse(multiply(X_470,X_471))) = inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))),inverse(multiply(X_470,X_471))))),bind(Y0,$fot(multiply(commutator(X_471,X_470),multiply(commutator(X_27,commutator(X_471,X_470)),inverse(multiply(X_470,X_471)))))),bind(Z0,$fot(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))))]]) ).
cnf(refute_0_2773,plain,
( multiply(commutator(X_471,X_470),multiply(commutator(X_27,commutator(X_471,X_470)),inverse(multiply(X_470,X_471)))) != inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))
| multiply(multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))),inverse(multiply(X_470,X_471))) = inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))),inverse(multiply(X_470,X_471))),multiply(commutator(X_471,X_470),multiply(commutator(X_27,commutator(X_471,X_470)),inverse(multiply(X_470,X_471))))) )],[refute_0_2771,refute_0_2772]) ).
cnf(refute_0_2774,plain,
multiply(multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))),inverse(multiply(X_470,X_471))) = inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_471,X_470),multiply(commutator(X_27,commutator(X_471,X_470)),inverse(multiply(X_470,X_471)))),inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))) )],[refute_0_2770,refute_0_2773]) ).
cnf(refute_0_2775,plain,
multiply(X_27,multiply(multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))),inverse(multiply(X_470,X_471)))) = multiply(X_27,multiply(multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))),inverse(multiply(X_470,X_471)))),
introduced(tautology,[refl,[$fot(multiply(X_27,multiply(multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))),inverse(multiply(X_470,X_471)))))]]) ).
cnf(refute_0_2776,plain,
( multiply(X_27,multiply(multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))),inverse(multiply(X_470,X_471)))) != multiply(X_27,multiply(multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))),inverse(multiply(X_470,X_471))))
| multiply(multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))),inverse(multiply(X_470,X_471))) != inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))
| multiply(X_27,multiply(multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))),inverse(multiply(X_470,X_471)))) = multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_27,multiply(multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))),inverse(multiply(X_470,X_471)))),multiply(X_27,multiply(multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))),inverse(multiply(X_470,X_471))))) ),[1,1],$fot(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))))]]) ).
cnf(refute_0_2777,plain,
( multiply(multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))),inverse(multiply(X_470,X_471))) != inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))
| multiply(X_27,multiply(multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))),inverse(multiply(X_470,X_471)))) = multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))) ),
inference(resolve,[$cnf( $equal(multiply(X_27,multiply(multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))),inverse(multiply(X_470,X_471)))),multiply(X_27,multiply(multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))),inverse(multiply(X_470,X_471))))) )],[refute_0_2775,refute_0_2776]) ).
cnf(refute_0_2778,plain,
multiply(X_27,multiply(multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))),inverse(multiply(X_470,X_471)))) = multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))),
inference(resolve,[$cnf( $equal(multiply(multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))),inverse(multiply(X_470,X_471))),inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))) )],[refute_0_2774,refute_0_2777]) ).
cnf(refute_0_2779,plain,
multiply(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))),inverse(multiply(X_470,X_471))) = multiply(X_27,multiply(multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))),inverse(multiply(X_470,X_471)))),
inference(subst,[],[associativity:[bind(X,$fot(X_27)),bind(Y,$fot(multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))))),bind(Z,$fot(inverse(multiply(X_470,X_471))))]]) ).
cnf(refute_0_2780,plain,
inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))) = multiply(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))),inverse(multiply(X_470,X_471))),
inference(subst,[],[refute_0_860:[bind(X_58,$fot(X_470)),bind(X_89,$fot(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))),bind(X_90,$fot(X_471))]]) ).
cnf(refute_0_2781,plain,
( multiply(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))),inverse(multiply(X_470,X_471))) != multiply(X_27,multiply(multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))),inverse(multiply(X_470,X_471))))
| inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))) != multiply(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))),inverse(multiply(X_470,X_471)))
| inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))) = multiply(X_27,multiply(multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))),inverse(multiply(X_470,X_471)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))))),bind(Y0,$fot(multiply(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))),inverse(multiply(X_470,X_471))))),bind(Z0,$fot(multiply(X_27,multiply(multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))),inverse(multiply(X_470,X_471))))))]]) ).
cnf(refute_0_2782,plain,
( multiply(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))),inverse(multiply(X_470,X_471))) != multiply(X_27,multiply(multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))),inverse(multiply(X_470,X_471))))
| inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))) = multiply(X_27,multiply(multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))),inverse(multiply(X_470,X_471)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))),inverse(multiply(X_470,X_471)))) )],[refute_0_2780,refute_0_2781]) ).
cnf(refute_0_2783,plain,
inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))) = multiply(X_27,multiply(multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))),inverse(multiply(X_470,X_471)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))),inverse(multiply(X_470,X_471))),multiply(X_27,multiply(multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))),inverse(multiply(X_470,X_471))))) )],[refute_0_2779,refute_0_2782]) ).
cnf(refute_0_2784,plain,
( multiply(X_27,multiply(multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))),inverse(multiply(X_470,X_471)))) != multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))))
| inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))) != multiply(X_27,multiply(multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))),inverse(multiply(X_470,X_471))))
| inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))) = multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))))),bind(Y0,$fot(multiply(X_27,multiply(multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))),inverse(multiply(X_470,X_471)))))),bind(Z0,$fot(multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))))))]]) ).
cnf(refute_0_2785,plain,
( multiply(X_27,multiply(multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))),inverse(multiply(X_470,X_471)))) != multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))))
| inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))) = multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(X_27,multiply(multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))),inverse(multiply(X_470,X_471))))) )],[refute_0_2783,refute_0_2784]) ).
cnf(refute_0_2786,plain,
inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))) = multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))),
inference(resolve,[$cnf( $equal(multiply(X_27,multiply(multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470))),inverse(multiply(X_470,X_471)))),multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))))) )],[refute_0_2778,refute_0_2785]) ).
cnf(refute_0_2787,plain,
multiply(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))) = multiply(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))))]]) ).
cnf(refute_0_2788,plain,
( multiply(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))) != multiply(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))))
| inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))) != multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))))
| multiply(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))) = multiply(multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))),multiply(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))))) ),[1,0],$fot(multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))))]]) ).
cnf(refute_0_2789,plain,
( inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))) != multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))))
| multiply(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))) = multiply(multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))),multiply(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))))) )],[refute_0_2787,refute_0_2788]) ).
cnf(refute_0_2790,plain,
multiply(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))) = multiply(multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))))) )],[refute_0_2786,refute_0_2789]) ).
cnf(refute_0_2791,plain,
( multiply(multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))) != multiply(multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))
| multiply(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))) != multiply(multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))))
| multiply(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))) = multiply(multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))))),bind(Y0,$fot(multiply(multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))))),bind(Z0,$fot(multiply(multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))))]]) ).
cnf(refute_0_2792,plain,
( multiply(multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))) != multiply(multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))
| multiply(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))) = multiply(multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))),multiply(multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))))) )],[refute_0_2790,refute_0_2791]) ).
cnf(refute_0_2793,plain,
multiply(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))) = multiply(multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))),multiply(multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) )],[refute_0_2725,refute_0_2792]) ).
cnf(refute_0_2794,plain,
( multiply(multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) != multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))
| multiply(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))) != multiply(multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))
| multiply(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))) = multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))))),bind(Y0,$fot(multiply(multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))),bind(Z0,$fot(multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))))]]) ).
cnf(refute_0_2795,plain,
( multiply(multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) != multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))
| multiply(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))) = multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))),multiply(multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) )],[refute_0_2793,refute_0_2794]) ).
cnf(refute_0_2796,plain,
multiply(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))) = multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_27,inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))),multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))) )],[refute_0_2709,refute_0_2795]) ).
cnf(refute_0_2797,plain,
( multiply(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))) != multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))
| commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470)))) != multiply(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))))
| commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470)))) = multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),multiply(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))))) ),[1],$fot(multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))))]]) ).
cnf(refute_0_2798,plain,
( commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470)))) != multiply(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))))
| commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470)))) = multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470))))))),multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))) )],[refute_0_2796,refute_0_2797]) ).
cnf(refute_0_2799,plain,
( commutator(X_471,commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))) != multiply(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))))
| commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470)))) = multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) ),
inference(resolve,[$cnf( $equal(commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),multiply(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))))) )],[refute_0_2708,refute_0_2798]) ).
cnf(refute_0_2800,plain,
commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470)))) = multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))),
inference(resolve,[$cnf( $equal(commutator(X_471,commutator(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))),multiply(inverse(multiply(X_470,multiply(X_471,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_27,commutator(X_471,X_470)))))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,multiply(commutator(X_471,X_470),commutator(X_471,X_470)))))))) )],[refute_0_1050,refute_0_2799]) ).
cnf(refute_0_2801,plain,
multiply(commutator(commutator(X_282,X_283),Y),commutator(X_283,X_282)) = multiply(inverse(multiply(Y,commutator(X_282,X_283))),multiply(commutator(X_282,X_283),multiply(Y,commutator(X_283,X_282)))),
inference(subst,[],[refute_0_246:[bind(X,$fot(commutator(X_282,X_283))),bind(X_11,$fot(commutator(X_283,X_282)))]]) ).
cnf(refute_0_2802,plain,
multiply(Y,commutator(X_282,commutator(X_283,Y))) = multiply(commutator(X_282,X_283),multiply(Y,commutator(X_283,X_282))),
inference(subst,[],[refute_0_1843:[bind(X_10,$fot(Y)),bind(X_255,$fot(X_282)),bind(X_256,$fot(X_283))]]) ).
cnf(refute_0_2803,plain,
( multiply(Y,commutator(X_282,commutator(X_283,Y))) != multiply(commutator(X_282,X_283),multiply(Y,commutator(X_283,X_282)))
| multiply(commutator(X_282,X_283),multiply(Y,commutator(X_283,X_282))) = multiply(Y,commutator(X_282,commutator(X_283,Y))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(Y,commutator(X_282,commutator(X_283,Y))))),bind(Y0,$fot(multiply(commutator(X_282,X_283),multiply(Y,commutator(X_283,X_282)))))]]) ).
cnf(refute_0_2804,plain,
multiply(commutator(X_282,X_283),multiply(Y,commutator(X_283,X_282))) = multiply(Y,commutator(X_282,commutator(X_283,Y))),
inference(resolve,[$cnf( $equal(multiply(Y,commutator(X_282,commutator(X_283,Y))),multiply(commutator(X_282,X_283),multiply(Y,commutator(X_283,X_282)))) )],[refute_0_2802,refute_0_2803]) ).
cnf(refute_0_2805,plain,
( multiply(commutator(X_282,X_283),multiply(Y,commutator(X_283,X_282))) != multiply(Y,commutator(X_282,commutator(X_283,Y)))
| multiply(commutator(commutator(X_282,X_283),Y),commutator(X_283,X_282)) != multiply(inverse(multiply(Y,commutator(X_282,X_283))),multiply(commutator(X_282,X_283),multiply(Y,commutator(X_283,X_282))))
| multiply(commutator(commutator(X_282,X_283),Y),commutator(X_283,X_282)) = multiply(inverse(multiply(Y,commutator(X_282,X_283))),multiply(Y,commutator(X_282,commutator(X_283,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(commutator(X_282,X_283),Y),commutator(X_283,X_282)),multiply(inverse(multiply(Y,commutator(X_282,X_283))),multiply(commutator(X_282,X_283),multiply(Y,commutator(X_283,X_282))))) ),[1,1],$fot(multiply(Y,commutator(X_282,commutator(X_283,Y))))]]) ).
cnf(refute_0_2806,plain,
( multiply(commutator(commutator(X_282,X_283),Y),commutator(X_283,X_282)) != multiply(inverse(multiply(Y,commutator(X_282,X_283))),multiply(commutator(X_282,X_283),multiply(Y,commutator(X_283,X_282))))
| multiply(commutator(commutator(X_282,X_283),Y),commutator(X_283,X_282)) = multiply(inverse(multiply(Y,commutator(X_282,X_283))),multiply(Y,commutator(X_282,commutator(X_283,Y)))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_282,X_283),multiply(Y,commutator(X_283,X_282))),multiply(Y,commutator(X_282,commutator(X_283,Y)))) )],[refute_0_2804,refute_0_2805]) ).
cnf(refute_0_2807,plain,
multiply(commutator(commutator(X_282,X_283),Y),commutator(X_283,X_282)) = multiply(inverse(multiply(Y,commutator(X_282,X_283))),multiply(Y,commutator(X_282,commutator(X_283,Y)))),
inference(resolve,[$cnf( $equal(multiply(commutator(commutator(X_282,X_283),Y),commutator(X_283,X_282)),multiply(inverse(multiply(Y,commutator(X_282,X_283))),multiply(commutator(X_282,X_283),multiply(Y,commutator(X_283,X_282))))) )],[refute_0_2801,refute_0_2806]) ).
cnf(refute_0_2808,plain,
commutator(commutator(X_282,X_283),Y) = commutator(X_282,commutator(X_283,Y)),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(X_282)),bind(Y,$fot(X_283)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_2809,plain,
multiply(commutator(commutator(X_282,X_283),Y),commutator(X_283,X_282)) = multiply(commutator(commutator(X_282,X_283),Y),commutator(X_283,X_282)),
introduced(tautology,[refl,[$fot(multiply(commutator(commutator(X_282,X_283),Y),commutator(X_283,X_282)))]]) ).
cnf(refute_0_2810,plain,
( multiply(commutator(commutator(X_282,X_283),Y),commutator(X_283,X_282)) != multiply(commutator(commutator(X_282,X_283),Y),commutator(X_283,X_282))
| commutator(commutator(X_282,X_283),Y) != commutator(X_282,commutator(X_283,Y))
| multiply(commutator(commutator(X_282,X_283),Y),commutator(X_283,X_282)) = multiply(commutator(X_282,commutator(X_283,Y)),commutator(X_283,X_282)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(commutator(X_282,X_283),Y),commutator(X_283,X_282)),multiply(commutator(commutator(X_282,X_283),Y),commutator(X_283,X_282))) ),[1,0],$fot(commutator(X_282,commutator(X_283,Y)))]]) ).
cnf(refute_0_2811,plain,
( commutator(commutator(X_282,X_283),Y) != commutator(X_282,commutator(X_283,Y))
| multiply(commutator(commutator(X_282,X_283),Y),commutator(X_283,X_282)) = multiply(commutator(X_282,commutator(X_283,Y)),commutator(X_283,X_282)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(commutator(X_282,X_283),Y),commutator(X_283,X_282)),multiply(commutator(commutator(X_282,X_283),Y),commutator(X_283,X_282))) )],[refute_0_2809,refute_0_2810]) ).
cnf(refute_0_2812,plain,
multiply(commutator(commutator(X_282,X_283),Y),commutator(X_283,X_282)) = multiply(commutator(X_282,commutator(X_283,Y)),commutator(X_283,X_282)),
inference(resolve,[$cnf( $equal(commutator(commutator(X_282,X_283),Y),commutator(X_282,commutator(X_283,Y))) )],[refute_0_2808,refute_0_2811]) ).
cnf(refute_0_2813,plain,
( multiply(commutator(commutator(X_282,X_283),Y),commutator(X_283,X_282)) != multiply(commutator(X_282,commutator(X_283,Y)),commutator(X_283,X_282))
| multiply(commutator(commutator(X_282,X_283),Y),commutator(X_283,X_282)) != multiply(inverse(multiply(Y,commutator(X_282,X_283))),multiply(Y,commutator(X_282,commutator(X_283,Y))))
| multiply(commutator(X_282,commutator(X_283,Y)),commutator(X_283,X_282)) = multiply(inverse(multiply(Y,commutator(X_282,X_283))),multiply(Y,commutator(X_282,commutator(X_283,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(commutator(X_282,X_283),Y),commutator(X_283,X_282)),multiply(inverse(multiply(Y,commutator(X_282,X_283))),multiply(Y,commutator(X_282,commutator(X_283,Y))))) ),[0],$fot(multiply(commutator(X_282,commutator(X_283,Y)),commutator(X_283,X_282)))]]) ).
cnf(refute_0_2814,plain,
( multiply(commutator(commutator(X_282,X_283),Y),commutator(X_283,X_282)) != multiply(inverse(multiply(Y,commutator(X_282,X_283))),multiply(Y,commutator(X_282,commutator(X_283,Y))))
| multiply(commutator(X_282,commutator(X_283,Y)),commutator(X_283,X_282)) = multiply(inverse(multiply(Y,commutator(X_282,X_283))),multiply(Y,commutator(X_282,commutator(X_283,Y)))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(commutator(X_282,X_283),Y),commutator(X_283,X_282)),multiply(commutator(X_282,commutator(X_283,Y)),commutator(X_283,X_282))) )],[refute_0_2812,refute_0_2813]) ).
cnf(refute_0_2815,plain,
commutator(commutator(X_283,Y),X_282) = commutator(X_283,commutator(Y,X_282)),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(X_283)),bind(Z,$fot(X_282))]]) ).
cnf(refute_0_2816,plain,
multiply(commutator(commutator(X_283,Y),X_282),commutator(X_282,X_283)) = multiply(commutator(commutator(X_283,Y),X_282),commutator(X_282,X_283)),
introduced(tautology,[refl,[$fot(multiply(commutator(commutator(X_283,Y),X_282),commutator(X_282,X_283)))]]) ).
cnf(refute_0_2817,plain,
( multiply(commutator(commutator(X_283,Y),X_282),commutator(X_282,X_283)) != multiply(commutator(commutator(X_283,Y),X_282),commutator(X_282,X_283))
| commutator(commutator(X_283,Y),X_282) != commutator(X_283,commutator(Y,X_282))
| multiply(commutator(commutator(X_283,Y),X_282),commutator(X_282,X_283)) = multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(commutator(X_283,Y),X_282),commutator(X_282,X_283)),multiply(commutator(commutator(X_283,Y),X_282),commutator(X_282,X_283))) ),[1,0],$fot(commutator(X_283,commutator(Y,X_282)))]]) ).
cnf(refute_0_2818,plain,
( commutator(commutator(X_283,Y),X_282) != commutator(X_283,commutator(Y,X_282))
| multiply(commutator(commutator(X_283,Y),X_282),commutator(X_282,X_283)) = multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(commutator(X_283,Y),X_282),commutator(X_282,X_283)),multiply(commutator(commutator(X_283,Y),X_282),commutator(X_282,X_283))) )],[refute_0_2816,refute_0_2817]) ).
cnf(refute_0_2819,plain,
multiply(commutator(commutator(X_283,Y),X_282),commutator(X_282,X_283)) = multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283)),
inference(resolve,[$cnf( $equal(commutator(commutator(X_283,Y),X_282),commutator(X_283,commutator(Y,X_282))) )],[refute_0_2815,refute_0_2818]) ).
cnf(refute_0_2820,plain,
inverse(multiply(commutator(commutator(X_283,Y),X_282),commutator(X_282,X_283))) = inverse(multiply(commutator(commutator(X_283,Y),X_282),commutator(X_282,X_283))),
introduced(tautology,[refl,[$fot(inverse(multiply(commutator(commutator(X_283,Y),X_282),commutator(X_282,X_283))))]]) ).
cnf(refute_0_2821,plain,
( multiply(commutator(commutator(X_283,Y),X_282),commutator(X_282,X_283)) != multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283))
| inverse(multiply(commutator(commutator(X_283,Y),X_282),commutator(X_282,X_283))) != inverse(multiply(commutator(commutator(X_283,Y),X_282),commutator(X_282,X_283)))
| inverse(multiply(commutator(commutator(X_283,Y),X_282),commutator(X_282,X_283))) = inverse(multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(commutator(commutator(X_283,Y),X_282),commutator(X_282,X_283))),inverse(multiply(commutator(commutator(X_283,Y),X_282),commutator(X_282,X_283)))) ),[1,0],$fot(multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283)))]]) ).
cnf(refute_0_2822,plain,
( multiply(commutator(commutator(X_283,Y),X_282),commutator(X_282,X_283)) != multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283))
| inverse(multiply(commutator(commutator(X_283,Y),X_282),commutator(X_282,X_283))) = inverse(multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(commutator(X_283,Y),X_282),commutator(X_282,X_283))),inverse(multiply(commutator(commutator(X_283,Y),X_282),commutator(X_282,X_283)))) )],[refute_0_2820,refute_0_2821]) ).
cnf(refute_0_2823,plain,
inverse(multiply(commutator(commutator(X_283,Y),X_282),commutator(X_282,X_283))) = inverse(multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283))),
inference(resolve,[$cnf( $equal(multiply(commutator(commutator(X_283,Y),X_282),commutator(X_282,X_283)),multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283))) )],[refute_0_2819,refute_0_2822]) ).
cnf(refute_0_2824,plain,
multiply(inverse(commutator(X_282,X_283)),commutator(X_282,commutator(X_283,Y))) = inverse(multiply(commutator(commutator(X_283,Y),X_282),commutator(X_282,X_283))),
inference(subst,[],[refute_0_331:[bind(X_10,$fot(commutator(X_282,X_283))),bind(X_65,$fot(X_282)),bind(X_66,$fot(commutator(X_283,Y)))]]) ).
cnf(refute_0_2825,plain,
( multiply(inverse(X_51),Z) != multiply(inverse(multiply(X_50,X_51)),multiply(X_50,Z))
| multiply(inverse(multiply(X_50,X_51)),multiply(X_50,Z)) = multiply(inverse(X_51),Z) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(inverse(X_51),Z))),bind(Y0,$fot(multiply(inverse(multiply(X_50,X_51)),multiply(X_50,Z))))]]) ).
cnf(refute_0_2826,plain,
multiply(inverse(multiply(X_50,X_51)),multiply(X_50,Z)) = multiply(inverse(X_51),Z),
inference(resolve,[$cnf( $equal(multiply(inverse(X_51),Z),multiply(inverse(multiply(X_50,X_51)),multiply(X_50,Z))) )],[refute_0_677,refute_0_2825]) ).
cnf(refute_0_2827,plain,
multiply(inverse(multiply(Y,commutator(X_282,X_283))),multiply(Y,commutator(X_282,commutator(X_283,Y)))) = multiply(inverse(commutator(X_282,X_283)),commutator(X_282,commutator(X_283,Y))),
inference(subst,[],[refute_0_2826:[bind(Z,$fot(commutator(X_282,commutator(X_283,Y)))),bind(X_50,$fot(Y)),bind(X_51,$fot(commutator(X_282,X_283)))]]) ).
cnf(refute_0_2828,plain,
( multiply(inverse(multiply(Y,commutator(X_282,X_283))),multiply(Y,commutator(X_282,commutator(X_283,Y)))) != multiply(inverse(commutator(X_282,X_283)),commutator(X_282,commutator(X_283,Y)))
| multiply(inverse(commutator(X_282,X_283)),commutator(X_282,commutator(X_283,Y))) != inverse(multiply(commutator(commutator(X_283,Y),X_282),commutator(X_282,X_283)))
| multiply(inverse(multiply(Y,commutator(X_282,X_283))),multiply(Y,commutator(X_282,commutator(X_283,Y)))) = inverse(multiply(commutator(commutator(X_283,Y),X_282),commutator(X_282,X_283))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(Y,commutator(X_282,X_283))),multiply(Y,commutator(X_282,commutator(X_283,Y)))))),bind(Y0,$fot(multiply(inverse(commutator(X_282,X_283)),commutator(X_282,commutator(X_283,Y))))),bind(Z0,$fot(inverse(multiply(commutator(commutator(X_283,Y),X_282),commutator(X_282,X_283)))))]]) ).
cnf(refute_0_2829,plain,
( multiply(inverse(commutator(X_282,X_283)),commutator(X_282,commutator(X_283,Y))) != inverse(multiply(commutator(commutator(X_283,Y),X_282),commutator(X_282,X_283)))
| multiply(inverse(multiply(Y,commutator(X_282,X_283))),multiply(Y,commutator(X_282,commutator(X_283,Y)))) = inverse(multiply(commutator(commutator(X_283,Y),X_282),commutator(X_282,X_283))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(Y,commutator(X_282,X_283))),multiply(Y,commutator(X_282,commutator(X_283,Y)))),multiply(inverse(commutator(X_282,X_283)),commutator(X_282,commutator(X_283,Y)))) )],[refute_0_2827,refute_0_2828]) ).
cnf(refute_0_2830,plain,
multiply(inverse(multiply(Y,commutator(X_282,X_283))),multiply(Y,commutator(X_282,commutator(X_283,Y)))) = inverse(multiply(commutator(commutator(X_283,Y),X_282),commutator(X_282,X_283))),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X_282,X_283)),commutator(X_282,commutator(X_283,Y))),inverse(multiply(commutator(commutator(X_283,Y),X_282),commutator(X_282,X_283)))) )],[refute_0_2824,refute_0_2829]) ).
cnf(refute_0_2831,plain,
( multiply(inverse(multiply(Y,commutator(X_282,X_283))),multiply(Y,commutator(X_282,commutator(X_283,Y)))) != inverse(multiply(commutator(commutator(X_283,Y),X_282),commutator(X_282,X_283)))
| inverse(multiply(commutator(commutator(X_283,Y),X_282),commutator(X_282,X_283))) != inverse(multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283)))
| multiply(inverse(multiply(Y,commutator(X_282,X_283))),multiply(Y,commutator(X_282,commutator(X_283,Y)))) = inverse(multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(Y,commutator(X_282,X_283))),multiply(Y,commutator(X_282,commutator(X_283,Y)))))),bind(Y0,$fot(inverse(multiply(commutator(commutator(X_283,Y),X_282),commutator(X_282,X_283))))),bind(Z0,$fot(inverse(multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283)))))]]) ).
cnf(refute_0_2832,plain,
( inverse(multiply(commutator(commutator(X_283,Y),X_282),commutator(X_282,X_283))) != inverse(multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283)))
| multiply(inverse(multiply(Y,commutator(X_282,X_283))),multiply(Y,commutator(X_282,commutator(X_283,Y)))) = inverse(multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(Y,commutator(X_282,X_283))),multiply(Y,commutator(X_282,commutator(X_283,Y)))),inverse(multiply(commutator(commutator(X_283,Y),X_282),commutator(X_282,X_283)))) )],[refute_0_2830,refute_0_2831]) ).
cnf(refute_0_2833,plain,
multiply(inverse(multiply(Y,commutator(X_282,X_283))),multiply(Y,commutator(X_282,commutator(X_283,Y)))) = inverse(multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283))),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(commutator(X_283,Y),X_282),commutator(X_282,X_283))),inverse(multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283)))) )],[refute_0_2823,refute_0_2832]) ).
cnf(refute_0_2834,plain,
( multiply(commutator(X_282,commutator(X_283,Y)),commutator(X_283,X_282)) != multiply(inverse(multiply(Y,commutator(X_282,X_283))),multiply(Y,commutator(X_282,commutator(X_283,Y))))
| multiply(inverse(multiply(Y,commutator(X_282,X_283))),multiply(Y,commutator(X_282,commutator(X_283,Y)))) != inverse(multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283)))
| multiply(commutator(X_282,commutator(X_283,Y)),commutator(X_283,X_282)) = inverse(multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(commutator(X_282,commutator(X_283,Y)),commutator(X_283,X_282)),inverse(multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283)))) ),[0],$fot(multiply(inverse(multiply(Y,commutator(X_282,X_283))),multiply(Y,commutator(X_282,commutator(X_283,Y)))))]]) ).
cnf(refute_0_2835,plain,
( multiply(commutator(X_282,commutator(X_283,Y)),commutator(X_283,X_282)) != multiply(inverse(multiply(Y,commutator(X_282,X_283))),multiply(Y,commutator(X_282,commutator(X_283,Y))))
| multiply(commutator(X_282,commutator(X_283,Y)),commutator(X_283,X_282)) = inverse(multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(Y,commutator(X_282,X_283))),multiply(Y,commutator(X_282,commutator(X_283,Y)))),inverse(multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283)))) )],[refute_0_2833,refute_0_2834]) ).
cnf(refute_0_2836,plain,
( multiply(commutator(commutator(X_282,X_283),Y),commutator(X_283,X_282)) != multiply(inverse(multiply(Y,commutator(X_282,X_283))),multiply(Y,commutator(X_282,commutator(X_283,Y))))
| multiply(commutator(X_282,commutator(X_283,Y)),commutator(X_283,X_282)) = inverse(multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_282,commutator(X_283,Y)),commutator(X_283,X_282)),multiply(inverse(multiply(Y,commutator(X_282,X_283))),multiply(Y,commutator(X_282,commutator(X_283,Y))))) )],[refute_0_2814,refute_0_2835]) ).
cnf(refute_0_2837,plain,
multiply(commutator(X_282,commutator(X_283,Y)),commutator(X_283,X_282)) = inverse(multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283))),
inference(resolve,[$cnf( $equal(multiply(commutator(commutator(X_282,X_283),Y),commutator(X_283,X_282)),multiply(inverse(multiply(Y,commutator(X_282,X_283))),multiply(Y,commutator(X_282,commutator(X_283,Y))))) )],[refute_0_2807,refute_0_2836]) ).
cnf(refute_0_2838,plain,
multiply(commutator(X_255,X_256),multiply(inverse(X_256),Z)) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,multiply(inverse(X_256),Z)))),
inference(subst,[],[refute_0_246:[bind(X,$fot(X_255)),bind(Y,$fot(X_256)),bind(X_11,$fot(multiply(inverse(X_256),Z)))]]) ).
cnf(refute_0_2839,plain,
Z = multiply(X_256,multiply(inverse(X_256),Z)),
inference(subst,[],[refute_0_141:[bind(X,$fot(X_256))]]) ).
cnf(refute_0_2840,plain,
( Z != multiply(X_256,multiply(inverse(X_256),Z))
| multiply(X_256,multiply(inverse(X_256),Z)) = Z ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(Z)),bind(Y0,$fot(multiply(X_256,multiply(inverse(X_256),Z))))]]) ).
cnf(refute_0_2841,plain,
multiply(X_256,multiply(inverse(X_256),Z)) = Z,
inference(resolve,[$cnf( $equal(Z,multiply(X_256,multiply(inverse(X_256),Z))) )],[refute_0_2839,refute_0_2840]) ).
cnf(refute_0_2842,plain,
( multiply(X_256,multiply(inverse(X_256),Z)) != Z
| multiply(commutator(X_255,X_256),multiply(inverse(X_256),Z)) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,multiply(inverse(X_256),Z))))
| multiply(commutator(X_255,X_256),multiply(inverse(X_256),Z)) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_255,X_256),multiply(inverse(X_256),Z)),multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,multiply(inverse(X_256),Z))))) ),[1,1,1],$fot(Z)]]) ).
cnf(refute_0_2843,plain,
( multiply(commutator(X_255,X_256),multiply(inverse(X_256),Z)) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,multiply(inverse(X_256),Z))))
| multiply(commutator(X_255,X_256),multiply(inverse(X_256),Z)) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,Z)) ),
inference(resolve,[$cnf( $equal(multiply(X_256,multiply(inverse(X_256),Z)),Z) )],[refute_0_2841,refute_0_2842]) ).
cnf(refute_0_2844,plain,
multiply(commutator(X_255,X_256),multiply(inverse(X_256),Z)) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,Z)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,X_256),multiply(inverse(X_256),Z)),multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,multiply(inverse(X_256),Z))))) )],[refute_0_2838,refute_0_2843]) ).
cnf(refute_0_2845,plain,
multiply(commutator(multiply(inverse(X_507),X_505),X_507),multiply(inverse(X_507),X_505)) = multiply(inverse(multiply(X_507,multiply(inverse(X_507),X_505))),multiply(multiply(inverse(X_507),X_505),X_505)),
inference(subst,[],[refute_0_2844:[bind(Z,$fot(X_505)),bind(X_255,$fot(multiply(inverse(X_507),X_505))),bind(X_256,$fot(X_507))]]) ).
cnf(refute_0_2846,plain,
multiply(commutator(multiply(inverse(X_507),X_505),X_507),multiply(inverse(X_507),X_505)) = multiply(multiply(inverse(X_507),X_505),commutator(multiply(inverse(X_507),X_505),X_507)),
inference(subst,[],[refute_0_2195:[bind(X_102,$fot(X_507)),bind(X_58,$fot(multiply(inverse(X_507),X_505)))]]) ).
cnf(refute_0_2847,plain,
( multiply(commutator(multiply(inverse(X_507),X_505),X_507),multiply(inverse(X_507),X_505)) != multiply(multiply(inverse(X_507),X_505),commutator(multiply(inverse(X_507),X_505),X_507))
| multiply(commutator(multiply(inverse(X_507),X_505),X_507),multiply(inverse(X_507),X_505)) != multiply(inverse(multiply(X_507,multiply(inverse(X_507),X_505))),multiply(multiply(inverse(X_507),X_505),X_505))
| multiply(multiply(inverse(X_507),X_505),commutator(multiply(inverse(X_507),X_505),X_507)) = multiply(inverse(multiply(X_507,multiply(inverse(X_507),X_505))),multiply(multiply(inverse(X_507),X_505),X_505)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(multiply(inverse(X_507),X_505),X_507),multiply(inverse(X_507),X_505)),multiply(inverse(multiply(X_507,multiply(inverse(X_507),X_505))),multiply(multiply(inverse(X_507),X_505),X_505))) ),[0],$fot(multiply(multiply(inverse(X_507),X_505),commutator(multiply(inverse(X_507),X_505),X_507)))]]) ).
cnf(refute_0_2848,plain,
( multiply(commutator(multiply(inverse(X_507),X_505),X_507),multiply(inverse(X_507),X_505)) != multiply(inverse(multiply(X_507,multiply(inverse(X_507),X_505))),multiply(multiply(inverse(X_507),X_505),X_505))
| multiply(multiply(inverse(X_507),X_505),commutator(multiply(inverse(X_507),X_505),X_507)) = multiply(inverse(multiply(X_507,multiply(inverse(X_507),X_505))),multiply(multiply(inverse(X_507),X_505),X_505)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(inverse(X_507),X_505),X_507),multiply(inverse(X_507),X_505)),multiply(multiply(inverse(X_507),X_505),commutator(multiply(inverse(X_507),X_505),X_507))) )],[refute_0_2846,refute_0_2847]) ).
cnf(refute_0_2849,plain,
multiply(multiply(inverse(X_507),X_505),commutator(multiply(inverse(X_507),X_505),X_507)) = multiply(inverse(multiply(X_507,multiply(inverse(X_507),X_505))),multiply(multiply(inverse(X_507),X_505),X_505)),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(inverse(X_507),X_505),X_507),multiply(inverse(X_507),X_505)),multiply(inverse(multiply(X_507,multiply(inverse(X_507),X_505))),multiply(multiply(inverse(X_507),X_505),X_505))) )],[refute_0_2845,refute_0_2848]) ).
cnf(refute_0_2850,plain,
multiply(inverse(X_507),multiply(inverse(X_507),multiply(X_505,X_507))) = multiply(inverse(multiply(X_507,X_507)),multiply(X_505,X_507)),
inference(subst,[],[refute_0_242:[bind(Z,$fot(multiply(X_505,X_507))),bind(X_62,$fot(X_507)),bind(X_63,$fot(X_507))]]) ).
cnf(refute_0_2851,plain,
multiply(multiply(inverse(X_507),X_505),X_507) = multiply(inverse(X_507),multiply(X_505,X_507)),
inference(subst,[],[associativity:[bind(X,$fot(inverse(X_507))),bind(Y,$fot(X_505)),bind(Z,$fot(X_507))]]) ).
cnf(refute_0_2852,plain,
multiply(inverse(X_507),multiply(multiply(inverse(X_507),X_505),X_507)) = multiply(inverse(X_507),multiply(multiply(inverse(X_507),X_505),X_507)),
introduced(tautology,[refl,[$fot(multiply(inverse(X_507),multiply(multiply(inverse(X_507),X_505),X_507)))]]) ).
cnf(refute_0_2853,plain,
( multiply(multiply(inverse(X_507),X_505),X_507) != multiply(inverse(X_507),multiply(X_505,X_507))
| multiply(inverse(X_507),multiply(multiply(inverse(X_507),X_505),X_507)) != multiply(inverse(X_507),multiply(multiply(inverse(X_507),X_505),X_507))
| multiply(inverse(X_507),multiply(multiply(inverse(X_507),X_505),X_507)) = multiply(inverse(X_507),multiply(inverse(X_507),multiply(X_505,X_507))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_507),multiply(multiply(inverse(X_507),X_505),X_507)),multiply(inverse(X_507),multiply(multiply(inverse(X_507),X_505),X_507))) ),[1,1],$fot(multiply(inverse(X_507),multiply(X_505,X_507)))]]) ).
cnf(refute_0_2854,plain,
( multiply(multiply(inverse(X_507),X_505),X_507) != multiply(inverse(X_507),multiply(X_505,X_507))
| multiply(inverse(X_507),multiply(multiply(inverse(X_507),X_505),X_507)) = multiply(inverse(X_507),multiply(inverse(X_507),multiply(X_505,X_507))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_507),multiply(multiply(inverse(X_507),X_505),X_507)),multiply(inverse(X_507),multiply(multiply(inverse(X_507),X_505),X_507))) )],[refute_0_2852,refute_0_2853]) ).
cnf(refute_0_2855,plain,
multiply(inverse(X_507),multiply(multiply(inverse(X_507),X_505),X_507)) = multiply(inverse(X_507),multiply(inverse(X_507),multiply(X_505,X_507))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_507),X_505),X_507),multiply(inverse(X_507),multiply(X_505,X_507))) )],[refute_0_2851,refute_0_2854]) ).
cnf(refute_0_2856,plain,
( multiply(inverse(X_507),multiply(multiply(inverse(X_507),X_505),X_507)) != multiply(inverse(X_507),multiply(inverse(X_507),multiply(X_505,X_507)))
| multiply(inverse(X_507),multiply(inverse(X_507),multiply(X_505,X_507))) != multiply(inverse(multiply(X_507,X_507)),multiply(X_505,X_507))
| multiply(inverse(X_507),multiply(multiply(inverse(X_507),X_505),X_507)) = multiply(inverse(multiply(X_507,X_507)),multiply(X_505,X_507)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(X_507),multiply(multiply(inverse(X_507),X_505),X_507)))),bind(Y0,$fot(multiply(inverse(X_507),multiply(inverse(X_507),multiply(X_505,X_507))))),bind(Z0,$fot(multiply(inverse(multiply(X_507,X_507)),multiply(X_505,X_507))))]]) ).
cnf(refute_0_2857,plain,
( multiply(inverse(X_507),multiply(inverse(X_507),multiply(X_505,X_507))) != multiply(inverse(multiply(X_507,X_507)),multiply(X_505,X_507))
| multiply(inverse(X_507),multiply(multiply(inverse(X_507),X_505),X_507)) = multiply(inverse(multiply(X_507,X_507)),multiply(X_505,X_507)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_507),multiply(multiply(inverse(X_507),X_505),X_507)),multiply(inverse(X_507),multiply(inverse(X_507),multiply(X_505,X_507)))) )],[refute_0_2855,refute_0_2856]) ).
cnf(refute_0_2858,plain,
multiply(inverse(X_507),multiply(multiply(inverse(X_507),X_505),X_507)) = multiply(inverse(multiply(X_507,X_507)),multiply(X_505,X_507)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_507),multiply(inverse(X_507),multiply(X_505,X_507))),multiply(inverse(multiply(X_507,X_507)),multiply(X_505,X_507))) )],[refute_0_2850,refute_0_2857]) ).
cnf(refute_0_2859,plain,
( multiply(commutator(X_58,X_102),X_58) != multiply(X_58,commutator(X_58,X_102))
| multiply(commutator(X_58,X_102),X_58) != multiply(inverse(X_102),multiply(X_58,X_102))
| multiply(X_58,commutator(X_58,X_102)) = multiply(inverse(X_102),multiply(X_58,X_102)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_58,X_102),X_58),multiply(inverse(X_102),multiply(X_58,X_102))) ),[0],$fot(multiply(X_58,commutator(X_58,X_102)))]]) ).
cnf(refute_0_2860,plain,
( multiply(commutator(X_58,X_102),X_58) != multiply(inverse(X_102),multiply(X_58,X_102))
| multiply(X_58,commutator(X_58,X_102)) = multiply(inverse(X_102),multiply(X_58,X_102)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_58,X_102),X_58),multiply(X_58,commutator(X_58,X_102))) )],[refute_0_2195,refute_0_2859]) ).
cnf(refute_0_2861,plain,
multiply(X_58,commutator(X_58,X_102)) = multiply(inverse(X_102),multiply(X_58,X_102)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_58,X_102),X_58),multiply(inverse(X_102),multiply(X_58,X_102))) )],[refute_0_1726,refute_0_2860]) ).
cnf(refute_0_2862,plain,
multiply(multiply(inverse(X_507),X_505),commutator(multiply(inverse(X_507),X_505),X_507)) = multiply(inverse(X_507),multiply(multiply(inverse(X_507),X_505),X_507)),
inference(subst,[],[refute_0_2861:[bind(X_102,$fot(X_507)),bind(X_58,$fot(multiply(inverse(X_507),X_505)))]]) ).
cnf(refute_0_2863,plain,
( multiply(multiply(inverse(X_507),X_505),commutator(multiply(inverse(X_507),X_505),X_507)) != multiply(inverse(X_507),multiply(multiply(inverse(X_507),X_505),X_507))
| multiply(inverse(X_507),multiply(multiply(inverse(X_507),X_505),X_507)) != multiply(inverse(multiply(X_507,X_507)),multiply(X_505,X_507))
| multiply(multiply(inverse(X_507),X_505),commutator(multiply(inverse(X_507),X_505),X_507)) = multiply(inverse(multiply(X_507,X_507)),multiply(X_505,X_507)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(inverse(X_507),X_505),commutator(multiply(inverse(X_507),X_505),X_507)))),bind(Y0,$fot(multiply(inverse(X_507),multiply(multiply(inverse(X_507),X_505),X_507)))),bind(Z0,$fot(multiply(inverse(multiply(X_507,X_507)),multiply(X_505,X_507))))]]) ).
cnf(refute_0_2864,plain,
( multiply(inverse(X_507),multiply(multiply(inverse(X_507),X_505),X_507)) != multiply(inverse(multiply(X_507,X_507)),multiply(X_505,X_507))
| multiply(multiply(inverse(X_507),X_505),commutator(multiply(inverse(X_507),X_505),X_507)) = multiply(inverse(multiply(X_507,X_507)),multiply(X_505,X_507)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_507),X_505),commutator(multiply(inverse(X_507),X_505),X_507)),multiply(inverse(X_507),multiply(multiply(inverse(X_507),X_505),X_507))) )],[refute_0_2862,refute_0_2863]) ).
cnf(refute_0_2865,plain,
multiply(multiply(inverse(X_507),X_505),commutator(multiply(inverse(X_507),X_505),X_507)) = multiply(inverse(multiply(X_507,X_507)),multiply(X_505,X_507)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_507),multiply(multiply(inverse(X_507),X_505),X_507)),multiply(inverse(multiply(X_507,X_507)),multiply(X_505,X_507))) )],[refute_0_2858,refute_0_2864]) ).
cnf(refute_0_2866,plain,
( multiply(multiply(inverse(X_507),X_505),commutator(multiply(inverse(X_507),X_505),X_507)) != multiply(inverse(multiply(X_507,X_507)),multiply(X_505,X_507))
| multiply(multiply(inverse(X_507),X_505),commutator(multiply(inverse(X_507),X_505),X_507)) != multiply(inverse(multiply(X_507,multiply(inverse(X_507),X_505))),multiply(multiply(inverse(X_507),X_505),X_505))
| multiply(inverse(multiply(X_507,X_507)),multiply(X_505,X_507)) = multiply(inverse(multiply(X_507,multiply(inverse(X_507),X_505))),multiply(multiply(inverse(X_507),X_505),X_505)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_507),X_505),commutator(multiply(inverse(X_507),X_505),X_507)),multiply(inverse(multiply(X_507,multiply(inverse(X_507),X_505))),multiply(multiply(inverse(X_507),X_505),X_505))) ),[0],$fot(multiply(inverse(multiply(X_507,X_507)),multiply(X_505,X_507)))]]) ).
cnf(refute_0_2867,plain,
( multiply(multiply(inverse(X_507),X_505),commutator(multiply(inverse(X_507),X_505),X_507)) != multiply(inverse(multiply(X_507,multiply(inverse(X_507),X_505))),multiply(multiply(inverse(X_507),X_505),X_505))
| multiply(inverse(multiply(X_507,X_507)),multiply(X_505,X_507)) = multiply(inverse(multiply(X_507,multiply(inverse(X_507),X_505))),multiply(multiply(inverse(X_507),X_505),X_505)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_507),X_505),commutator(multiply(inverse(X_507),X_505),X_507)),multiply(inverse(multiply(X_507,X_507)),multiply(X_505,X_507))) )],[refute_0_2865,refute_0_2866]) ).
cnf(refute_0_2868,plain,
multiply(inverse(X_367),inverse(multiply(inverse(multiply(X_367,X_365)),X_10))) = multiply(X_365,multiply(inverse(multiply(X_367,X_365)),inverse(multiply(inverse(multiply(X_367,X_365)),X_10)))),
inference(subst,[],[refute_0_660:[bind(X,$fot(X_365)),bind(Z,$fot(inverse(multiply(inverse(multiply(X_367,X_365)),X_10)))),bind(X_58,$fot(X_367))]]) ).
cnf(refute_0_2869,plain,
multiply(inverse(multiply(X_367,X_365)),inverse(multiply(inverse(multiply(X_367,X_365)),X_10))) = inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10))),
inference(subst,[],[refute_0_598:[bind(X_58,$fot(inverse(multiply(X_367,X_365))))]]) ).
cnf(refute_0_2870,plain,
( multiply(inverse(X_367),inverse(multiply(inverse(multiply(X_367,X_365)),X_10))) != multiply(X_365,multiply(inverse(multiply(X_367,X_365)),inverse(multiply(inverse(multiply(X_367,X_365)),X_10))))
| multiply(inverse(multiply(X_367,X_365)),inverse(multiply(inverse(multiply(X_367,X_365)),X_10))) != inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10)))
| multiply(inverse(X_367),inverse(multiply(inverse(multiply(X_367,X_365)),X_10))) = multiply(X_365,inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_367),inverse(multiply(inverse(multiply(X_367,X_365)),X_10))),multiply(X_365,multiply(inverse(multiply(X_367,X_365)),inverse(multiply(inverse(multiply(X_367,X_365)),X_10))))) ),[1,1],$fot(inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10))))]]) ).
cnf(refute_0_2871,plain,
( multiply(inverse(X_367),inverse(multiply(inverse(multiply(X_367,X_365)),X_10))) != multiply(X_365,multiply(inverse(multiply(X_367,X_365)),inverse(multiply(inverse(multiply(X_367,X_365)),X_10))))
| multiply(inverse(X_367),inverse(multiply(inverse(multiply(X_367,X_365)),X_10))) = multiply(X_365,inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_367,X_365)),inverse(multiply(inverse(multiply(X_367,X_365)),X_10))),inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10)))) )],[refute_0_2869,refute_0_2870]) ).
cnf(refute_0_2872,plain,
multiply(inverse(X_367),inverse(multiply(inverse(multiply(X_367,X_365)),X_10))) = multiply(X_365,inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10)))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_367),inverse(multiply(inverse(multiply(X_367,X_365)),X_10))),multiply(X_365,multiply(inverse(multiply(X_367,X_365)),inverse(multiply(inverse(multiply(X_367,X_365)),X_10))))) )],[refute_0_2868,refute_0_2871]) ).
cnf(refute_0_2873,plain,
inverse(multiply(inverse(multiply(X_367,X_365)),multiply(X_10,X_367))) = multiply(inverse(multiply(X_10,X_367)),multiply(X_367,X_365)),
inference(subst,[],[refute_0_294:[bind(Z,$fot(multiply(X_10,X_367))),bind(X_61,$fot(multiply(X_367,X_365)))]]) ).
cnf(refute_0_2874,plain,
multiply(multiply(inverse(multiply(X_367,X_365)),X_10),X_367) = multiply(inverse(multiply(X_367,X_365)),multiply(X_10,X_367)),
inference(subst,[],[associativity:[bind(X,$fot(inverse(multiply(X_367,X_365)))),bind(Y,$fot(X_10)),bind(Z,$fot(X_367))]]) ).
cnf(refute_0_2875,plain,
inverse(multiply(multiply(inverse(multiply(X_367,X_365)),X_10),X_367)) = inverse(multiply(multiply(inverse(multiply(X_367,X_365)),X_10),X_367)),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(inverse(multiply(X_367,X_365)),X_10),X_367)))]]) ).
cnf(refute_0_2876,plain,
( multiply(multiply(inverse(multiply(X_367,X_365)),X_10),X_367) != multiply(inverse(multiply(X_367,X_365)),multiply(X_10,X_367))
| inverse(multiply(multiply(inverse(multiply(X_367,X_365)),X_10),X_367)) != inverse(multiply(multiply(inverse(multiply(X_367,X_365)),X_10),X_367))
| inverse(multiply(multiply(inverse(multiply(X_367,X_365)),X_10),X_367)) = inverse(multiply(inverse(multiply(X_367,X_365)),multiply(X_10,X_367))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(inverse(multiply(X_367,X_365)),X_10),X_367)),inverse(multiply(multiply(inverse(multiply(X_367,X_365)),X_10),X_367))) ),[1,0],$fot(multiply(inverse(multiply(X_367,X_365)),multiply(X_10,X_367)))]]) ).
cnf(refute_0_2877,plain,
( multiply(multiply(inverse(multiply(X_367,X_365)),X_10),X_367) != multiply(inverse(multiply(X_367,X_365)),multiply(X_10,X_367))
| inverse(multiply(multiply(inverse(multiply(X_367,X_365)),X_10),X_367)) = inverse(multiply(inverse(multiply(X_367,X_365)),multiply(X_10,X_367))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(multiply(X_367,X_365)),X_10),X_367)),inverse(multiply(multiply(inverse(multiply(X_367,X_365)),X_10),X_367))) )],[refute_0_2875,refute_0_2876]) ).
cnf(refute_0_2878,plain,
inverse(multiply(multiply(inverse(multiply(X_367,X_365)),X_10),X_367)) = inverse(multiply(inverse(multiply(X_367,X_365)),multiply(X_10,X_367))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(X_367,X_365)),X_10),X_367),multiply(inverse(multiply(X_367,X_365)),multiply(X_10,X_367))) )],[refute_0_2874,refute_0_2877]) ).
cnf(refute_0_2879,plain,
( inverse(multiply(multiply(inverse(multiply(X_367,X_365)),X_10),X_367)) != inverse(multiply(inverse(multiply(X_367,X_365)),multiply(X_10,X_367)))
| inverse(multiply(inverse(multiply(X_367,X_365)),multiply(X_10,X_367))) != multiply(inverse(multiply(X_10,X_367)),multiply(X_367,X_365))
| inverse(multiply(multiply(inverse(multiply(X_367,X_365)),X_10),X_367)) = multiply(inverse(multiply(X_10,X_367)),multiply(X_367,X_365)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(multiply(inverse(multiply(X_367,X_365)),X_10),X_367)))),bind(Y0,$fot(inverse(multiply(inverse(multiply(X_367,X_365)),multiply(X_10,X_367))))),bind(Z0,$fot(multiply(inverse(multiply(X_10,X_367)),multiply(X_367,X_365))))]]) ).
cnf(refute_0_2880,plain,
( inverse(multiply(inverse(multiply(X_367,X_365)),multiply(X_10,X_367))) != multiply(inverse(multiply(X_10,X_367)),multiply(X_367,X_365))
| inverse(multiply(multiply(inverse(multiply(X_367,X_365)),X_10),X_367)) = multiply(inverse(multiply(X_10,X_367)),multiply(X_367,X_365)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(multiply(X_367,X_365)),X_10),X_367)),inverse(multiply(inverse(multiply(X_367,X_365)),multiply(X_10,X_367)))) )],[refute_0_2878,refute_0_2879]) ).
cnf(refute_0_2881,plain,
inverse(multiply(multiply(inverse(multiply(X_367,X_365)),X_10),X_367)) = multiply(inverse(multiply(X_10,X_367)),multiply(X_367,X_365)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(X_367,X_365)),multiply(X_10,X_367))),multiply(inverse(multiply(X_10,X_367)),multiply(X_367,X_365))) )],[refute_0_2873,refute_0_2880]) ).
cnf(refute_0_2882,plain,
multiply(inverse(X_367),inverse(multiply(inverse(multiply(X_367,X_365)),X_10))) = inverse(multiply(multiply(inverse(multiply(X_367,X_365)),X_10),X_367)),
inference(subst,[],[refute_0_257:[bind(X_10,$fot(X_367)),bind(X_58,$fot(multiply(inverse(multiply(X_367,X_365)),X_10)))]]) ).
cnf(refute_0_2883,plain,
( multiply(inverse(X_367),inverse(multiply(inverse(multiply(X_367,X_365)),X_10))) != inverse(multiply(multiply(inverse(multiply(X_367,X_365)),X_10),X_367))
| inverse(multiply(multiply(inverse(multiply(X_367,X_365)),X_10),X_367)) != multiply(inverse(multiply(X_10,X_367)),multiply(X_367,X_365))
| multiply(inverse(X_367),inverse(multiply(inverse(multiply(X_367,X_365)),X_10))) = multiply(inverse(multiply(X_10,X_367)),multiply(X_367,X_365)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(X_367),inverse(multiply(inverse(multiply(X_367,X_365)),X_10))))),bind(Y0,$fot(inverse(multiply(multiply(inverse(multiply(X_367,X_365)),X_10),X_367)))),bind(Z0,$fot(multiply(inverse(multiply(X_10,X_367)),multiply(X_367,X_365))))]]) ).
cnf(refute_0_2884,plain,
( inverse(multiply(multiply(inverse(multiply(X_367,X_365)),X_10),X_367)) != multiply(inverse(multiply(X_10,X_367)),multiply(X_367,X_365))
| multiply(inverse(X_367),inverse(multiply(inverse(multiply(X_367,X_365)),X_10))) = multiply(inverse(multiply(X_10,X_367)),multiply(X_367,X_365)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_367),inverse(multiply(inverse(multiply(X_367,X_365)),X_10))),inverse(multiply(multiply(inverse(multiply(X_367,X_365)),X_10),X_367))) )],[refute_0_2882,refute_0_2883]) ).
cnf(refute_0_2885,plain,
multiply(inverse(X_367),inverse(multiply(inverse(multiply(X_367,X_365)),X_10))) = multiply(inverse(multiply(X_10,X_367)),multiply(X_367,X_365)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(multiply(X_367,X_365)),X_10),X_367)),multiply(inverse(multiply(X_10,X_367)),multiply(X_367,X_365))) )],[refute_0_2881,refute_0_2884]) ).
cnf(refute_0_2886,plain,
( multiply(inverse(X_367),inverse(multiply(inverse(multiply(X_367,X_365)),X_10))) != multiply(X_365,inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10))))
| multiply(inverse(X_367),inverse(multiply(inverse(multiply(X_367,X_365)),X_10))) != multiply(inverse(multiply(X_10,X_367)),multiply(X_367,X_365))
| multiply(inverse(multiply(X_10,X_367)),multiply(X_367,X_365)) = multiply(X_365,inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_367),inverse(multiply(inverse(multiply(X_367,X_365)),X_10))),multiply(X_365,inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10))))) ),[0],$fot(multiply(inverse(multiply(X_10,X_367)),multiply(X_367,X_365)))]]) ).
cnf(refute_0_2887,plain,
( multiply(inverse(X_367),inverse(multiply(inverse(multiply(X_367,X_365)),X_10))) != multiply(X_365,inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10))))
| multiply(inverse(multiply(X_10,X_367)),multiply(X_367,X_365)) = multiply(X_365,inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_367),inverse(multiply(inverse(multiply(X_367,X_365)),X_10))),multiply(inverse(multiply(X_10,X_367)),multiply(X_367,X_365))) )],[refute_0_2885,refute_0_2886]) ).
cnf(refute_0_2888,plain,
commutator(inverse(multiply(X_367,X_365)),X_10) = commutator(X_10,multiply(X_367,X_365)),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(multiply(X_367,X_365))),bind(X_110,$fot(X_10))]]) ).
cnf(refute_0_2889,plain,
multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10)) = multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10)),
introduced(tautology,[refl,[$fot(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10)))]]) ).
cnf(refute_0_2890,plain,
( multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10)) != multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10))
| commutator(inverse(multiply(X_367,X_365)),X_10) != commutator(X_10,multiply(X_367,X_365))
| multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10)) = multiply(X_10,commutator(X_10,multiply(X_367,X_365))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10)),multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10))) ),[1,1],$fot(commutator(X_10,multiply(X_367,X_365)))]]) ).
cnf(refute_0_2891,plain,
( commutator(inverse(multiply(X_367,X_365)),X_10) != commutator(X_10,multiply(X_367,X_365))
| multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10)) = multiply(X_10,commutator(X_10,multiply(X_367,X_365))) ),
inference(resolve,[$cnf( $equal(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10)),multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10))) )],[refute_0_2889,refute_0_2890]) ).
cnf(refute_0_2892,plain,
multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10)) = multiply(X_10,commutator(X_10,multiply(X_367,X_365))),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_367,X_365)),X_10),commutator(X_10,multiply(X_367,X_365))) )],[refute_0_2888,refute_0_2891]) ).
cnf(refute_0_2893,plain,
inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10))) = inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10))))]]) ).
cnf(refute_0_2894,plain,
( multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10)) != multiply(X_10,commutator(X_10,multiply(X_367,X_365)))
| inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10))) != inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10)))
| inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10))) = inverse(multiply(X_10,commutator(X_10,multiply(X_367,X_365)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10))),inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10)))) ),[1,0],$fot(multiply(X_10,commutator(X_10,multiply(X_367,X_365))))]]) ).
cnf(refute_0_2895,plain,
( multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10)) != multiply(X_10,commutator(X_10,multiply(X_367,X_365)))
| inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10))) = inverse(multiply(X_10,commutator(X_10,multiply(X_367,X_365)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10))),inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10)))) )],[refute_0_2893,refute_0_2894]) ).
cnf(refute_0_2896,plain,
inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10))) = inverse(multiply(X_10,commutator(X_10,multiply(X_367,X_365)))),
inference(resolve,[$cnf( $equal(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10)),multiply(X_10,commutator(X_10,multiply(X_367,X_365)))) )],[refute_0_2892,refute_0_2895]) ).
cnf(refute_0_2897,plain,
multiply(X_365,inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10)))) = multiply(X_365,inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10)))),
introduced(tautology,[refl,[$fot(multiply(X_365,inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10)))))]]) ).
cnf(refute_0_2898,plain,
( multiply(X_365,inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10)))) != multiply(X_365,inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10))))
| inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10))) != inverse(multiply(X_10,commutator(X_10,multiply(X_367,X_365))))
| multiply(X_365,inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10)))) = multiply(X_365,inverse(multiply(X_10,commutator(X_10,multiply(X_367,X_365))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_365,inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10)))),multiply(X_365,inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10))))) ),[1,1],$fot(inverse(multiply(X_10,commutator(X_10,multiply(X_367,X_365)))))]]) ).
cnf(refute_0_2899,plain,
( inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10))) != inverse(multiply(X_10,commutator(X_10,multiply(X_367,X_365))))
| multiply(X_365,inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10)))) = multiply(X_365,inverse(multiply(X_10,commutator(X_10,multiply(X_367,X_365))))) ),
inference(resolve,[$cnf( $equal(multiply(X_365,inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10)))),multiply(X_365,inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10))))) )],[refute_0_2897,refute_0_2898]) ).
cnf(refute_0_2900,plain,
multiply(X_365,inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10)))) = multiply(X_365,inverse(multiply(X_10,commutator(X_10,multiply(X_367,X_365))))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10))),inverse(multiply(X_10,commutator(X_10,multiply(X_367,X_365))))) )],[refute_0_2896,refute_0_2899]) ).
cnf(refute_0_2901,plain,
( multiply(X_365,inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10)))) != multiply(X_365,inverse(multiply(X_10,commutator(X_10,multiply(X_367,X_365)))))
| multiply(inverse(multiply(X_10,X_367)),multiply(X_367,X_365)) != multiply(X_365,inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10))))
| multiply(inverse(multiply(X_10,X_367)),multiply(X_367,X_365)) = multiply(X_365,inverse(multiply(X_10,commutator(X_10,multiply(X_367,X_365))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_10,X_367)),multiply(X_367,X_365)),multiply(X_365,inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10))))) ),[1],$fot(multiply(X_365,inverse(multiply(X_10,commutator(X_10,multiply(X_367,X_365))))))]]) ).
cnf(refute_0_2902,plain,
( multiply(inverse(multiply(X_10,X_367)),multiply(X_367,X_365)) != multiply(X_365,inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10))))
| multiply(inverse(multiply(X_10,X_367)),multiply(X_367,X_365)) = multiply(X_365,inverse(multiply(X_10,commutator(X_10,multiply(X_367,X_365))))) ),
inference(resolve,[$cnf( $equal(multiply(X_365,inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10)))),multiply(X_365,inverse(multiply(X_10,commutator(X_10,multiply(X_367,X_365)))))) )],[refute_0_2900,refute_0_2901]) ).
cnf(refute_0_2903,plain,
( multiply(inverse(X_367),inverse(multiply(inverse(multiply(X_367,X_365)),X_10))) != multiply(X_365,inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10))))
| multiply(inverse(multiply(X_10,X_367)),multiply(X_367,X_365)) = multiply(X_365,inverse(multiply(X_10,commutator(X_10,multiply(X_367,X_365))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_10,X_367)),multiply(X_367,X_365)),multiply(X_365,inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10))))) )],[refute_0_2887,refute_0_2902]) ).
cnf(refute_0_2904,plain,
multiply(inverse(multiply(X_10,X_367)),multiply(X_367,X_365)) = multiply(X_365,inverse(multiply(X_10,commutator(X_10,multiply(X_367,X_365))))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_367),inverse(multiply(inverse(multiply(X_367,X_365)),X_10))),multiply(X_365,inverse(multiply(X_10,commutator(inverse(multiply(X_367,X_365)),X_10))))) )],[refute_0_2872,refute_0_2903]) ).
cnf(refute_0_2905,plain,
( multiply(inverse(multiply(X_10,X_367)),multiply(X_367,X_365)) != multiply(X_365,inverse(multiply(X_10,commutator(X_10,multiply(X_367,X_365)))))
| multiply(X_365,inverse(multiply(X_10,commutator(X_10,multiply(X_367,X_365))))) = multiply(inverse(multiply(X_10,X_367)),multiply(X_367,X_365)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(inverse(multiply(X_10,X_367)),multiply(X_367,X_365)))),bind(Y0,$fot(multiply(X_365,inverse(multiply(X_10,commutator(X_10,multiply(X_367,X_365)))))))]]) ).
cnf(refute_0_2906,plain,
multiply(X_365,inverse(multiply(X_10,commutator(X_10,multiply(X_367,X_365))))) = multiply(inverse(multiply(X_10,X_367)),multiply(X_367,X_365)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_10,X_367)),multiply(X_367,X_365)),multiply(X_365,inverse(multiply(X_10,commutator(X_10,multiply(X_367,X_365)))))) )],[refute_0_2904,refute_0_2905]) ).
cnf(refute_0_2907,plain,
multiply(X_505,inverse(multiply(X_507,commutator(X_507,multiply(X_505,X_505))))) = multiply(inverse(multiply(X_507,X_505)),multiply(X_505,X_505)),
inference(subst,[],[refute_0_2906:[bind(X_10,$fot(X_507)),bind(X_365,$fot(X_505)),bind(X_367,$fot(X_505))]]) ).
cnf(refute_0_2908,plain,
commutator(inverse(inverse(X_27)),X_83) = commutator(inverse(inverse(X_27)),multiply(inverse(X_27),X_83)),
inference(subst,[],[refute_0_436:[bind(Y,$fot(X_83)),bind(X_29,$fot(inverse(X_27)))]]) ).
cnf(refute_0_2909,plain,
( commutator(inverse(inverse(X_27)),X_83) != commutator(inverse(inverse(X_27)),multiply(inverse(X_27),X_83))
| inverse(inverse(X_27)) != X_27
| commutator(inverse(inverse(X_27)),X_83) = commutator(X_27,multiply(inverse(X_27),X_83)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(inverse(X_27)),X_83),commutator(inverse(inverse(X_27)),multiply(inverse(X_27),X_83))) ),[1,0],$fot(X_27)]]) ).
cnf(refute_0_2910,plain,
( commutator(inverse(inverse(X_27)),X_83) != commutator(inverse(inverse(X_27)),multiply(inverse(X_27),X_83))
| commutator(inverse(inverse(X_27)),X_83) = commutator(X_27,multiply(inverse(X_27),X_83)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_27)),X_27) )],[refute_0_152,refute_0_2909]) ).
cnf(refute_0_2911,plain,
commutator(inverse(inverse(X_27)),X_83) = commutator(X_27,multiply(inverse(X_27),X_83)),
inference(resolve,[$cnf( $equal(commutator(inverse(inverse(X_27)),X_83),commutator(inverse(inverse(X_27)),multiply(inverse(X_27),X_83))) )],[refute_0_2908,refute_0_2910]) ).
cnf(refute_0_2912,plain,
commutator(inverse(inverse(X_27)),X_83) = commutator(inverse(inverse(X_27)),X_83),
introduced(tautology,[refl,[$fot(commutator(inverse(inverse(X_27)),X_83))]]) ).
cnf(refute_0_2913,plain,
( commutator(inverse(inverse(X_27)),X_83) != commutator(inverse(inverse(X_27)),X_83)
| inverse(inverse(X_27)) != X_27
| commutator(inverse(inverse(X_27)),X_83) = commutator(X_27,X_83) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(inverse(X_27)),X_83),commutator(inverse(inverse(X_27)),X_83)) ),[1,0],$fot(X_27)]]) ).
cnf(refute_0_2914,plain,
( inverse(inverse(X_27)) != X_27
| commutator(inverse(inverse(X_27)),X_83) = commutator(X_27,X_83) ),
inference(resolve,[$cnf( $equal(commutator(inverse(inverse(X_27)),X_83),commutator(inverse(inverse(X_27)),X_83)) )],[refute_0_2912,refute_0_2913]) ).
cnf(refute_0_2915,plain,
commutator(inverse(inverse(X_27)),X_83) = commutator(X_27,X_83),
inference(resolve,[$cnf( $equal(inverse(inverse(X_27)),X_27) )],[refute_0_152,refute_0_2914]) ).
cnf(refute_0_2916,plain,
( commutator(inverse(inverse(X_27)),X_83) != commutator(X_27,X_83)
| commutator(inverse(inverse(X_27)),X_83) != commutator(X_27,multiply(inverse(X_27),X_83))
| commutator(X_27,X_83) = commutator(X_27,multiply(inverse(X_27),X_83)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(inverse(X_27)),X_83),commutator(X_27,multiply(inverse(X_27),X_83))) ),[0],$fot(commutator(X_27,X_83))]]) ).
cnf(refute_0_2917,plain,
( commutator(inverse(inverse(X_27)),X_83) != commutator(X_27,multiply(inverse(X_27),X_83))
| commutator(X_27,X_83) = commutator(X_27,multiply(inverse(X_27),X_83)) ),
inference(resolve,[$cnf( $equal(commutator(inverse(inverse(X_27)),X_83),commutator(X_27,X_83)) )],[refute_0_2915,refute_0_2916]) ).
cnf(refute_0_2918,plain,
commutator(X_27,X_83) = commutator(X_27,multiply(inverse(X_27),X_83)),
inference(resolve,[$cnf( $equal(commutator(inverse(inverse(X_27)),X_83),commutator(X_27,multiply(inverse(X_27),X_83))) )],[refute_0_2911,refute_0_2917]) ).
cnf(refute_0_2919,plain,
( commutator(X_27,X_83) != commutator(X_27,multiply(inverse(X_27),X_83))
| commutator(X_27,multiply(inverse(X_27),X_83)) = commutator(X_27,X_83) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_27,X_83))),bind(Y0,$fot(commutator(X_27,multiply(inverse(X_27),X_83))))]]) ).
cnf(refute_0_2920,plain,
commutator(X_27,multiply(inverse(X_27),X_83)) = commutator(X_27,X_83),
inference(resolve,[$cnf( $equal(commutator(X_27,X_83),commutator(X_27,multiply(inverse(X_27),X_83))) )],[refute_0_2918,refute_0_2919]) ).
cnf(refute_0_2921,plain,
commutator(X_507,multiply(inverse(X_507),multiply(X_505,X_505))) = commutator(X_507,multiply(X_505,X_505)),
inference(subst,[],[refute_0_2920:[bind(X_27,$fot(X_507)),bind(X_83,$fot(multiply(X_505,X_505)))]]) ).
cnf(refute_0_2922,plain,
multiply(multiply(inverse(X_507),X_505),X_505) = multiply(inverse(X_507),multiply(X_505,X_505)),
inference(subst,[],[associativity:[bind(X,$fot(inverse(X_507))),bind(Y,$fot(X_505)),bind(Z,$fot(X_505))]]) ).
cnf(refute_0_2923,plain,
commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505)) = commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505)),
introduced(tautology,[refl,[$fot(commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505)))]]) ).
cnf(refute_0_2924,plain,
( multiply(multiply(inverse(X_507),X_505),X_505) != multiply(inverse(X_507),multiply(X_505,X_505))
| commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505)) != commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505))
| commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505)) = commutator(X_507,multiply(inverse(X_507),multiply(X_505,X_505))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505)),commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505))) ),[1,1],$fot(multiply(inverse(X_507),multiply(X_505,X_505)))]]) ).
cnf(refute_0_2925,plain,
( multiply(multiply(inverse(X_507),X_505),X_505) != multiply(inverse(X_507),multiply(X_505,X_505))
| commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505)) = commutator(X_507,multiply(inverse(X_507),multiply(X_505,X_505))) ),
inference(resolve,[$cnf( $equal(commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505)),commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505))) )],[refute_0_2923,refute_0_2924]) ).
cnf(refute_0_2926,plain,
commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505)) = commutator(X_507,multiply(inverse(X_507),multiply(X_505,X_505))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_507),X_505),X_505),multiply(inverse(X_507),multiply(X_505,X_505))) )],[refute_0_2922,refute_0_2925]) ).
cnf(refute_0_2927,plain,
( commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505)) != commutator(X_507,multiply(inverse(X_507),multiply(X_505,X_505)))
| commutator(X_507,multiply(inverse(X_507),multiply(X_505,X_505))) != commutator(X_507,multiply(X_505,X_505))
| commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505)) = commutator(X_507,multiply(X_505,X_505)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505)))),bind(Y0,$fot(commutator(X_507,multiply(inverse(X_507),multiply(X_505,X_505))))),bind(Z0,$fot(commutator(X_507,multiply(X_505,X_505))))]]) ).
cnf(refute_0_2928,plain,
( commutator(X_507,multiply(inverse(X_507),multiply(X_505,X_505))) != commutator(X_507,multiply(X_505,X_505))
| commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505)) = commutator(X_507,multiply(X_505,X_505)) ),
inference(resolve,[$cnf( $equal(commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505)),commutator(X_507,multiply(inverse(X_507),multiply(X_505,X_505)))) )],[refute_0_2926,refute_0_2927]) ).
cnf(refute_0_2929,plain,
commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505)) = commutator(X_507,multiply(X_505,X_505)),
inference(resolve,[$cnf( $equal(commutator(X_507,multiply(inverse(X_507),multiply(X_505,X_505))),commutator(X_507,multiply(X_505,X_505))) )],[refute_0_2921,refute_0_2928]) ).
cnf(refute_0_2930,plain,
multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505))) = multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505))),
introduced(tautology,[refl,[$fot(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505))))]]) ).
cnf(refute_0_2931,plain,
( multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505))) != multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505)))
| commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505)) != commutator(X_507,multiply(X_505,X_505))
| multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505))) = multiply(X_507,commutator(X_507,multiply(X_505,X_505))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505))),multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505)))) ),[1,1],$fot(commutator(X_507,multiply(X_505,X_505)))]]) ).
cnf(refute_0_2932,plain,
( commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505)) != commutator(X_507,multiply(X_505,X_505))
| multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505))) = multiply(X_507,commutator(X_507,multiply(X_505,X_505))) ),
inference(resolve,[$cnf( $equal(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505))),multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505)))) )],[refute_0_2930,refute_0_2931]) ).
cnf(refute_0_2933,plain,
multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505))) = multiply(X_507,commutator(X_507,multiply(X_505,X_505))),
inference(resolve,[$cnf( $equal(commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505)),commutator(X_507,multiply(X_505,X_505))) )],[refute_0_2929,refute_0_2932]) ).
cnf(refute_0_2934,plain,
inverse(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505)))) = inverse(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505)))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505)))))]]) ).
cnf(refute_0_2935,plain,
( multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505))) != multiply(X_507,commutator(X_507,multiply(X_505,X_505)))
| inverse(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505)))) != inverse(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505))))
| inverse(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505)))) = inverse(multiply(X_507,commutator(X_507,multiply(X_505,X_505)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505)))),inverse(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505))))) ),[1,0],$fot(multiply(X_507,commutator(X_507,multiply(X_505,X_505))))]]) ).
cnf(refute_0_2936,plain,
( multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505))) != multiply(X_507,commutator(X_507,multiply(X_505,X_505)))
| inverse(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505)))) = inverse(multiply(X_507,commutator(X_507,multiply(X_505,X_505)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505)))),inverse(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505))))) )],[refute_0_2934,refute_0_2935]) ).
cnf(refute_0_2937,plain,
inverse(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505)))) = inverse(multiply(X_507,commutator(X_507,multiply(X_505,X_505)))),
inference(resolve,[$cnf( $equal(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505))),multiply(X_507,commutator(X_507,multiply(X_505,X_505)))) )],[refute_0_2933,refute_0_2936]) ).
cnf(refute_0_2938,plain,
multiply(X_505,inverse(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505))))) = multiply(X_505,inverse(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505))))),
introduced(tautology,[refl,[$fot(multiply(X_505,inverse(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505))))))]]) ).
cnf(refute_0_2939,plain,
( multiply(X_505,inverse(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505))))) != multiply(X_505,inverse(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505)))))
| inverse(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505)))) != inverse(multiply(X_507,commutator(X_507,multiply(X_505,X_505))))
| multiply(X_505,inverse(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505))))) = multiply(X_505,inverse(multiply(X_507,commutator(X_507,multiply(X_505,X_505))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_505,inverse(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505))))),multiply(X_505,inverse(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505)))))) ),[1,1],$fot(inverse(multiply(X_507,commutator(X_507,multiply(X_505,X_505)))))]]) ).
cnf(refute_0_2940,plain,
( inverse(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505)))) != inverse(multiply(X_507,commutator(X_507,multiply(X_505,X_505))))
| multiply(X_505,inverse(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505))))) = multiply(X_505,inverse(multiply(X_507,commutator(X_507,multiply(X_505,X_505))))) ),
inference(resolve,[$cnf( $equal(multiply(X_505,inverse(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505))))),multiply(X_505,inverse(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505)))))) )],[refute_0_2938,refute_0_2939]) ).
cnf(refute_0_2941,plain,
multiply(X_505,inverse(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505))))) = multiply(X_505,inverse(multiply(X_507,commutator(X_507,multiply(X_505,X_505))))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505)))),inverse(multiply(X_507,commutator(X_507,multiply(X_505,X_505))))) )],[refute_0_2937,refute_0_2940]) ).
cnf(refute_0_2942,plain,
( multiply(X_505,inverse(multiply(X_507,commutator(X_507,multiply(X_505,X_505))))) != multiply(inverse(multiply(X_507,X_505)),multiply(X_505,X_505))
| multiply(X_505,inverse(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505))))) != multiply(X_505,inverse(multiply(X_507,commutator(X_507,multiply(X_505,X_505)))))
| multiply(X_505,inverse(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505))))) = multiply(inverse(multiply(X_507,X_505)),multiply(X_505,X_505)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_505,inverse(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505))))))),bind(Y0,$fot(multiply(X_505,inverse(multiply(X_507,commutator(X_507,multiply(X_505,X_505))))))),bind(Z0,$fot(multiply(inverse(multiply(X_507,X_505)),multiply(X_505,X_505))))]]) ).
cnf(refute_0_2943,plain,
( multiply(X_505,inverse(multiply(X_507,commutator(X_507,multiply(X_505,X_505))))) != multiply(inverse(multiply(X_507,X_505)),multiply(X_505,X_505))
| multiply(X_505,inverse(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505))))) = multiply(inverse(multiply(X_507,X_505)),multiply(X_505,X_505)) ),
inference(resolve,[$cnf( $equal(multiply(X_505,inverse(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505))))),multiply(X_505,inverse(multiply(X_507,commutator(X_507,multiply(X_505,X_505)))))) )],[refute_0_2941,refute_0_2942]) ).
cnf(refute_0_2944,plain,
multiply(X_505,inverse(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505))))) = multiply(inverse(multiply(X_507,X_505)),multiply(X_505,X_505)),
inference(resolve,[$cnf( $equal(multiply(X_505,inverse(multiply(X_507,commutator(X_507,multiply(X_505,X_505))))),multiply(inverse(multiply(X_507,X_505)),multiply(X_505,X_505))) )],[refute_0_2907,refute_0_2943]) ).
cnf(refute_0_2945,plain,
multiply(inverse(multiply(X_507,multiply(inverse(X_507),X_505))),multiply(multiply(inverse(X_507),X_505),X_505)) = multiply(X_505,inverse(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505))))),
inference(subst,[],[refute_0_2904:[bind(X_10,$fot(X_507)),bind(X_365,$fot(X_505)),bind(X_367,$fot(multiply(inverse(X_507),X_505)))]]) ).
cnf(refute_0_2946,plain,
( multiply(X_505,inverse(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505))))) != multiply(inverse(multiply(X_507,X_505)),multiply(X_505,X_505))
| multiply(inverse(multiply(X_507,multiply(inverse(X_507),X_505))),multiply(multiply(inverse(X_507),X_505),X_505)) != multiply(X_505,inverse(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505)))))
| multiply(inverse(multiply(X_507,multiply(inverse(X_507),X_505))),multiply(multiply(inverse(X_507),X_505),X_505)) = multiply(inverse(multiply(X_507,X_505)),multiply(X_505,X_505)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_507,multiply(inverse(X_507),X_505))),multiply(multiply(inverse(X_507),X_505),X_505)))),bind(Y0,$fot(multiply(X_505,inverse(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505))))))),bind(Z0,$fot(multiply(inverse(multiply(X_507,X_505)),multiply(X_505,X_505))))]]) ).
cnf(refute_0_2947,plain,
( multiply(X_505,inverse(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505))))) != multiply(inverse(multiply(X_507,X_505)),multiply(X_505,X_505))
| multiply(inverse(multiply(X_507,multiply(inverse(X_507),X_505))),multiply(multiply(inverse(X_507),X_505),X_505)) = multiply(inverse(multiply(X_507,X_505)),multiply(X_505,X_505)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_507,multiply(inverse(X_507),X_505))),multiply(multiply(inverse(X_507),X_505),X_505)),multiply(X_505,inverse(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505)))))) )],[refute_0_2945,refute_0_2946]) ).
cnf(refute_0_2948,plain,
multiply(inverse(multiply(X_507,multiply(inverse(X_507),X_505))),multiply(multiply(inverse(X_507),X_505),X_505)) = multiply(inverse(multiply(X_507,X_505)),multiply(X_505,X_505)),
inference(resolve,[$cnf( $equal(multiply(X_505,inverse(multiply(X_507,commutator(X_507,multiply(multiply(inverse(X_507),X_505),X_505))))),multiply(inverse(multiply(X_507,X_505)),multiply(X_505,X_505))) )],[refute_0_2944,refute_0_2947]) ).
cnf(refute_0_2949,plain,
( multiply(inverse(multiply(X_507,X_507)),multiply(X_505,X_507)) != multiply(inverse(multiply(X_507,multiply(inverse(X_507),X_505))),multiply(multiply(inverse(X_507),X_505),X_505))
| multiply(inverse(multiply(X_507,multiply(inverse(X_507),X_505))),multiply(multiply(inverse(X_507),X_505),X_505)) != multiply(inverse(multiply(X_507,X_505)),multiply(X_505,X_505))
| multiply(inverse(multiply(X_507,X_507)),multiply(X_505,X_507)) = multiply(inverse(multiply(X_507,X_505)),multiply(X_505,X_505)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(multiply(X_507,X_507)),multiply(X_505,X_507)),multiply(inverse(multiply(X_507,X_505)),multiply(X_505,X_505))) ),[0],$fot(multiply(inverse(multiply(X_507,multiply(inverse(X_507),X_505))),multiply(multiply(inverse(X_507),X_505),X_505)))]]) ).
cnf(refute_0_2950,plain,
( multiply(inverse(multiply(X_507,X_507)),multiply(X_505,X_507)) != multiply(inverse(multiply(X_507,multiply(inverse(X_507),X_505))),multiply(multiply(inverse(X_507),X_505),X_505))
| multiply(inverse(multiply(X_507,X_507)),multiply(X_505,X_507)) = multiply(inverse(multiply(X_507,X_505)),multiply(X_505,X_505)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_507,multiply(inverse(X_507),X_505))),multiply(multiply(inverse(X_507),X_505),X_505)),multiply(inverse(multiply(X_507,X_505)),multiply(X_505,X_505))) )],[refute_0_2948,refute_0_2949]) ).
cnf(refute_0_2951,plain,
( multiply(multiply(inverse(X_507),X_505),commutator(multiply(inverse(X_507),X_505),X_507)) != multiply(inverse(multiply(X_507,multiply(inverse(X_507),X_505))),multiply(multiply(inverse(X_507),X_505),X_505))
| multiply(inverse(multiply(X_507,X_507)),multiply(X_505,X_507)) = multiply(inverse(multiply(X_507,X_505)),multiply(X_505,X_505)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_507,X_507)),multiply(X_505,X_507)),multiply(inverse(multiply(X_507,multiply(inverse(X_507),X_505))),multiply(multiply(inverse(X_507),X_505),X_505))) )],[refute_0_2867,refute_0_2950]) ).
cnf(refute_0_2952,plain,
multiply(inverse(multiply(X_507,X_507)),multiply(X_505,X_507)) = multiply(inverse(multiply(X_507,X_505)),multiply(X_505,X_505)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_507),X_505),commutator(multiply(inverse(X_507),X_505),X_507)),multiply(inverse(multiply(X_507,multiply(inverse(X_507),X_505))),multiply(multiply(inverse(X_507),X_505),X_505))) )],[refute_0_2849,refute_0_2951]) ).
cnf(refute_0_2953,plain,
multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,commutator(X_256,Y)))),multiply(commutator(X_255,X_256),commutator(X_255,commutator(X_256,Y)))) = multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,X_256))),multiply(commutator(X_255,X_256),commutator(X_255,X_256))),
inference(subst,[],[refute_0_2952:[bind(X_505,$fot(commutator(X_255,X_256))),bind(X_507,$fot(commutator(X_255,commutator(X_256,Y))))]]) ).
cnf(refute_0_2954,plain,
multiply(commutator(X_255,X_256),commutator(commutator(X_255,X_256),Y)) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(commutator(X_255,X_256),Y)))),
inference(subst,[],[refute_0_246:[bind(X,$fot(X_255)),bind(Y,$fot(X_256)),bind(X_11,$fot(commutator(commutator(X_255,X_256),Y)))]]) ).
cnf(refute_0_2955,plain,
multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)) = multiply(commutator(X_255,X_256),commutator(commutator(X_255,X_256),Y)),
inference(subst,[],[refute_0_254:[bind(X_27,$fot(commutator(X_255,X_256)))]]) ).
cnf(refute_0_2956,plain,
( multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)) != multiply(commutator(X_255,X_256),commutator(commutator(X_255,X_256),Y))
| multiply(commutator(X_255,X_256),commutator(commutator(X_255,X_256),Y)) = multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))),bind(Y0,$fot(multiply(commutator(X_255,X_256),commutator(commutator(X_255,X_256),Y))))]]) ).
cnf(refute_0_2957,plain,
multiply(commutator(X_255,X_256),commutator(commutator(X_255,X_256),Y)) = multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)),multiply(commutator(X_255,X_256),commutator(commutator(X_255,X_256),Y))) )],[refute_0_2955,refute_0_2956]) ).
cnf(refute_0_2958,plain,
( multiply(commutator(X_255,X_256),commutator(commutator(X_255,X_256),Y)) != multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))
| multiply(commutator(X_255,X_256),commutator(commutator(X_255,X_256),Y)) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(commutator(X_255,X_256),Y))))
| multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(commutator(X_255,X_256),Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_255,X_256),commutator(commutator(X_255,X_256),Y)),multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(commutator(X_255,X_256),Y))))) ),[0],$fot(multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))]]) ).
cnf(refute_0_2959,plain,
( multiply(commutator(X_255,X_256),commutator(commutator(X_255,X_256),Y)) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(commutator(X_255,X_256),Y))))
| multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(commutator(X_255,X_256),Y)))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,X_256),commutator(commutator(X_255,X_256),Y)),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) )],[refute_0_2957,refute_0_2958]) ).
cnf(refute_0_2960,plain,
multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(commutator(X_255,X_256),Y)))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,X_256),commutator(commutator(X_255,X_256),Y)),multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(commutator(X_255,X_256),Y))))) )],[refute_0_2954,refute_0_2959]) ).
cnf(refute_0_2961,plain,
commutator(commutator(X_255,X_256),Y) = commutator(X_255,commutator(X_256,Y)),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(X_255)),bind(Y,$fot(X_256)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_2962,plain,
multiply(commutator(X_255,X_256),commutator(commutator(X_255,X_256),Y)) = multiply(commutator(X_255,X_256),commutator(commutator(X_255,X_256),Y)),
introduced(tautology,[refl,[$fot(multiply(commutator(X_255,X_256),commutator(commutator(X_255,X_256),Y)))]]) ).
cnf(refute_0_2963,plain,
( multiply(commutator(X_255,X_256),commutator(commutator(X_255,X_256),Y)) != multiply(commutator(X_255,X_256),commutator(commutator(X_255,X_256),Y))
| commutator(commutator(X_255,X_256),Y) != commutator(X_255,commutator(X_256,Y))
| multiply(commutator(X_255,X_256),commutator(commutator(X_255,X_256),Y)) = multiply(commutator(X_255,X_256),commutator(X_255,commutator(X_256,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_255,X_256),commutator(commutator(X_255,X_256),Y)),multiply(commutator(X_255,X_256),commutator(commutator(X_255,X_256),Y))) ),[1,1],$fot(commutator(X_255,commutator(X_256,Y)))]]) ).
cnf(refute_0_2964,plain,
( commutator(commutator(X_255,X_256),Y) != commutator(X_255,commutator(X_256,Y))
| multiply(commutator(X_255,X_256),commutator(commutator(X_255,X_256),Y)) = multiply(commutator(X_255,X_256),commutator(X_255,commutator(X_256,Y))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,X_256),commutator(commutator(X_255,X_256),Y)),multiply(commutator(X_255,X_256),commutator(commutator(X_255,X_256),Y))) )],[refute_0_2962,refute_0_2963]) ).
cnf(refute_0_2965,plain,
multiply(commutator(X_255,X_256),commutator(commutator(X_255,X_256),Y)) = multiply(commutator(X_255,X_256),commutator(X_255,commutator(X_256,Y))),
inference(resolve,[$cnf( $equal(commutator(commutator(X_255,X_256),Y),commutator(X_255,commutator(X_256,Y))) )],[refute_0_2961,refute_0_2964]) ).
cnf(refute_0_2966,plain,
multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(commutator(X_255,X_256),Y)))) = multiply(commutator(X_255,X_256),commutator(commutator(X_255,X_256),Y)),
inference(subst,[],[refute_0_621:[bind(X,$fot(X_255)),bind(Y,$fot(X_256)),bind(X_11,$fot(commutator(commutator(X_255,X_256),Y)))]]) ).
cnf(refute_0_2967,plain,
( multiply(commutator(X_255,X_256),commutator(commutator(X_255,X_256),Y)) != multiply(commutator(X_255,X_256),commutator(X_255,commutator(X_256,Y)))
| multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(commutator(X_255,X_256),Y)))) != multiply(commutator(X_255,X_256),commutator(commutator(X_255,X_256),Y))
| multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(commutator(X_255,X_256),Y)))) = multiply(commutator(X_255,X_256),commutator(X_255,commutator(X_256,Y))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(commutator(X_255,X_256),Y)))))),bind(Y0,$fot(multiply(commutator(X_255,X_256),commutator(commutator(X_255,X_256),Y)))),bind(Z0,$fot(multiply(commutator(X_255,X_256),commutator(X_255,commutator(X_256,Y)))))]]) ).
cnf(refute_0_2968,plain,
( multiply(commutator(X_255,X_256),commutator(commutator(X_255,X_256),Y)) != multiply(commutator(X_255,X_256),commutator(X_255,commutator(X_256,Y)))
| multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(commutator(X_255,X_256),Y)))) = multiply(commutator(X_255,X_256),commutator(X_255,commutator(X_256,Y))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(commutator(X_255,X_256),Y)))),multiply(commutator(X_255,X_256),commutator(commutator(X_255,X_256),Y))) )],[refute_0_2966,refute_0_2967]) ).
cnf(refute_0_2969,plain,
multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(commutator(X_255,X_256),Y)))) = multiply(commutator(X_255,X_256),commutator(X_255,commutator(X_256,Y))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,X_256),commutator(commutator(X_255,X_256),Y)),multiply(commutator(X_255,X_256),commutator(X_255,commutator(X_256,Y)))) )],[refute_0_2965,refute_0_2968]) ).
cnf(refute_0_2970,plain,
( multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(commutator(X_255,X_256),Y))))
| multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(commutator(X_255,X_256),Y)))) != multiply(commutator(X_255,X_256),commutator(X_255,commutator(X_256,Y)))
| multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)) = multiply(commutator(X_255,X_256),commutator(X_255,commutator(X_256,Y))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)),multiply(commutator(X_255,X_256),commutator(X_255,commutator(X_256,Y)))) ),[0],$fot(multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(commutator(X_255,X_256),Y)))))]]) ).
cnf(refute_0_2971,plain,
( multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(commutator(X_255,X_256),Y))))
| multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)) = multiply(commutator(X_255,X_256),commutator(X_255,commutator(X_256,Y))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(commutator(X_255,X_256),Y)))),multiply(commutator(X_255,X_256),commutator(X_255,commutator(X_256,Y)))) )],[refute_0_2969,refute_0_2970]) ).
cnf(refute_0_2972,plain,
multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)) = multiply(commutator(X_255,X_256),commutator(X_255,commutator(X_256,Y))),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)),multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(commutator(X_255,X_256),Y))))) )],[refute_0_2960,refute_0_2971]) ).
cnf(refute_0_2973,plain,
( multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)) != multiply(commutator(X_255,X_256),commutator(X_255,commutator(X_256,Y)))
| multiply(commutator(X_255,X_256),commutator(X_255,commutator(X_256,Y))) = multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))),bind(Y0,$fot(multiply(commutator(X_255,X_256),commutator(X_255,commutator(X_256,Y)))))]]) ).
cnf(refute_0_2974,plain,
multiply(commutator(X_255,X_256),commutator(X_255,commutator(X_256,Y))) = multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)),multiply(commutator(X_255,X_256),commutator(X_255,commutator(X_256,Y)))) )],[refute_0_2972,refute_0_2973]) ).
cnf(refute_0_2975,plain,
( multiply(commutator(X_255,X_256),commutator(X_255,commutator(X_256,Y))) != multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))
| multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,commutator(X_256,Y)))),multiply(commutator(X_255,X_256),commutator(X_255,commutator(X_256,Y)))) != multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,X_256))),multiply(commutator(X_255,X_256),commutator(X_255,X_256)))
| multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,commutator(X_256,Y)))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) = multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,X_256))),multiply(commutator(X_255,X_256),commutator(X_255,X_256))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,commutator(X_256,Y)))),multiply(commutator(X_255,X_256),commutator(X_255,commutator(X_256,Y)))),multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,X_256))),multiply(commutator(X_255,X_256),commutator(X_255,X_256)))) ),[0,1],$fot(multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))]]) ).
cnf(refute_0_2976,plain,
( multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,commutator(X_256,Y)))),multiply(commutator(X_255,X_256),commutator(X_255,commutator(X_256,Y)))) != multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,X_256))),multiply(commutator(X_255,X_256),commutator(X_255,X_256)))
| multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,commutator(X_256,Y)))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) = multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,X_256))),multiply(commutator(X_255,X_256),commutator(X_255,X_256))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,X_256),commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) )],[refute_0_2974,refute_0_2975]) ).
cnf(refute_0_2977,plain,
multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,commutator(X_256,Y)))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) = multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,X_256))),multiply(commutator(X_255,X_256),commutator(X_255,X_256))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,commutator(X_256,Y)))),multiply(commutator(X_255,X_256),commutator(X_255,commutator(X_256,Y)))),multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,X_256))),multiply(commutator(X_255,X_256),commutator(X_255,X_256)))) )],[refute_0_2953,refute_0_2976]) ).
cnf(refute_0_2978,plain,
multiply(commutator(X_255,X_256),identity) = commutator(X_255,X_256),
inference(subst,[],[refute_0_100:[bind(X_16,$fot(commutator(X_255,X_256)))]]) ).
cnf(refute_0_2979,plain,
multiply(inverse(Y),Y) = identity,
inference(subst,[],[left_inverse:[bind(X,$fot(Y))]]) ).
cnf(refute_0_2980,plain,
multiply(commutator(X_255,X_256),multiply(inverse(Y),Y)) = multiply(commutator(X_255,X_256),multiply(inverse(Y),Y)),
introduced(tautology,[refl,[$fot(multiply(commutator(X_255,X_256),multiply(inverse(Y),Y)))]]) ).
cnf(refute_0_2981,plain,
( multiply(commutator(X_255,X_256),multiply(inverse(Y),Y)) != multiply(commutator(X_255,X_256),multiply(inverse(Y),Y))
| multiply(inverse(Y),Y) != identity
| multiply(commutator(X_255,X_256),multiply(inverse(Y),Y)) = multiply(commutator(X_255,X_256),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_255,X_256),multiply(inverse(Y),Y)),multiply(commutator(X_255,X_256),multiply(inverse(Y),Y))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_2982,plain,
( multiply(inverse(Y),Y) != identity
| multiply(commutator(X_255,X_256),multiply(inverse(Y),Y)) = multiply(commutator(X_255,X_256),identity) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,X_256),multiply(inverse(Y),Y)),multiply(commutator(X_255,X_256),multiply(inverse(Y),Y))) )],[refute_0_2980,refute_0_2981]) ).
cnf(refute_0_2983,plain,
multiply(commutator(X_255,X_256),multiply(inverse(Y),Y)) = multiply(commutator(X_255,X_256),identity),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),Y),identity) )],[refute_0_2979,refute_0_2982]) ).
cnf(refute_0_2984,plain,
( multiply(commutator(X_255,X_256),multiply(inverse(Y),Y)) != multiply(commutator(X_255,X_256),identity)
| multiply(commutator(X_255,X_256),identity) != commutator(X_255,X_256)
| multiply(commutator(X_255,X_256),multiply(inverse(Y),Y)) = commutator(X_255,X_256) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_255,X_256),multiply(inverse(Y),Y)))),bind(Y0,$fot(multiply(commutator(X_255,X_256),identity))),bind(Z0,$fot(commutator(X_255,X_256)))]]) ).
cnf(refute_0_2985,plain,
( multiply(commutator(X_255,X_256),identity) != commutator(X_255,X_256)
| multiply(commutator(X_255,X_256),multiply(inverse(Y),Y)) = commutator(X_255,X_256) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,X_256),multiply(inverse(Y),Y)),multiply(commutator(X_255,X_256),identity)) )],[refute_0_2983,refute_0_2984]) ).
cnf(refute_0_2986,plain,
multiply(commutator(X_255,X_256),multiply(inverse(Y),Y)) = commutator(X_255,X_256),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,X_256),identity),commutator(X_255,X_256)) )],[refute_0_2978,refute_0_2985]) ).
cnf(refute_0_2987,plain,
multiply(inverse(multiply(X_281,commutator(X_283,X_282))),Z) = multiply(inverse(multiply(commutator(X_282,X_283),multiply(X_281,commutator(X_283,X_282)))),multiply(commutator(X_282,X_283),Z)),
inference(subst,[],[refute_0_677:[bind(X_50,$fot(commutator(X_282,X_283))),bind(X_51,$fot(multiply(X_281,commutator(X_283,X_282))))]]) ).
cnf(refute_0_2988,plain,
multiply(X_281,commutator(X_282,commutator(X_283,X_281))) = multiply(commutator(X_282,X_283),multiply(X_281,commutator(X_283,X_282))),
inference(subst,[],[refute_0_1843:[bind(X_10,$fot(X_281)),bind(X_255,$fot(X_282)),bind(X_256,$fot(X_283))]]) ).
cnf(refute_0_2989,plain,
( multiply(X_281,commutator(X_282,commutator(X_283,X_281))) != multiply(commutator(X_282,X_283),multiply(X_281,commutator(X_283,X_282)))
| multiply(commutator(X_282,X_283),multiply(X_281,commutator(X_283,X_282))) = multiply(X_281,commutator(X_282,commutator(X_283,X_281))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(X_281,commutator(X_282,commutator(X_283,X_281))))),bind(Y0,$fot(multiply(commutator(X_282,X_283),multiply(X_281,commutator(X_283,X_282)))))]]) ).
cnf(refute_0_2990,plain,
multiply(commutator(X_282,X_283),multiply(X_281,commutator(X_283,X_282))) = multiply(X_281,commutator(X_282,commutator(X_283,X_281))),
inference(resolve,[$cnf( $equal(multiply(X_281,commutator(X_282,commutator(X_283,X_281))),multiply(commutator(X_282,X_283),multiply(X_281,commutator(X_283,X_282)))) )],[refute_0_2988,refute_0_2989]) ).
cnf(refute_0_2991,plain,
( multiply(commutator(X_282,X_283),multiply(X_281,commutator(X_283,X_282))) != multiply(X_281,commutator(X_282,commutator(X_283,X_281)))
| multiply(inverse(multiply(X_281,commutator(X_283,X_282))),Z) != multiply(inverse(multiply(commutator(X_282,X_283),multiply(X_281,commutator(X_283,X_282)))),multiply(commutator(X_282,X_283),Z))
| multiply(inverse(multiply(X_281,commutator(X_283,X_282))),Z) = multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(commutator(X_282,X_283),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_281,commutator(X_283,X_282))),Z),multiply(inverse(multiply(commutator(X_282,X_283),multiply(X_281,commutator(X_283,X_282)))),multiply(commutator(X_282,X_283),Z))) ),[1,0,0],$fot(multiply(X_281,commutator(X_282,commutator(X_283,X_281))))]]) ).
cnf(refute_0_2992,plain,
( multiply(inverse(multiply(X_281,commutator(X_283,X_282))),Z) != multiply(inverse(multiply(commutator(X_282,X_283),multiply(X_281,commutator(X_283,X_282)))),multiply(commutator(X_282,X_283),Z))
| multiply(inverse(multiply(X_281,commutator(X_283,X_282))),Z) = multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(commutator(X_282,X_283),Z)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_282,X_283),multiply(X_281,commutator(X_283,X_282))),multiply(X_281,commutator(X_282,commutator(X_283,X_281)))) )],[refute_0_2990,refute_0_2991]) ).
cnf(refute_0_2993,plain,
multiply(inverse(multiply(X_281,commutator(X_283,X_282))),Z) = multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(commutator(X_282,X_283),Z)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_281,commutator(X_283,X_282))),Z),multiply(inverse(multiply(commutator(X_282,X_283),multiply(X_281,commutator(X_283,X_282)))),multiply(commutator(X_282,X_283),Z))) )],[refute_0_2987,refute_0_2992]) ).
cnf(refute_0_2994,plain,
multiply(inverse(multiply(X_281,commutator(X_283,X_282))),Z) = multiply(commutator(X_282,X_283),multiply(inverse(X_281),Z)),
inference(subst,[],[refute_0_666:[bind(X_366,$fot(Z)),bind(X_367,$fot(X_281)),bind(X_65,$fot(X_283)),bind(X_66,$fot(X_282))]]) ).
cnf(refute_0_2995,plain,
( multiply(inverse(multiply(X_281,commutator(X_283,X_282))),Z) != multiply(commutator(X_282,X_283),multiply(inverse(X_281),Z))
| multiply(inverse(multiply(X_281,commutator(X_283,X_282))),Z) != multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(commutator(X_282,X_283),Z))
| multiply(commutator(X_282,X_283),multiply(inverse(X_281),Z)) = multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(commutator(X_282,X_283),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_281,commutator(X_283,X_282))),Z),multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(commutator(X_282,X_283),Z))) ),[0],$fot(multiply(commutator(X_282,X_283),multiply(inverse(X_281),Z)))]]) ).
cnf(refute_0_2996,plain,
( multiply(inverse(multiply(X_281,commutator(X_283,X_282))),Z) != multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(commutator(X_282,X_283),Z))
| multiply(commutator(X_282,X_283),multiply(inverse(X_281),Z)) = multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(commutator(X_282,X_283),Z)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_281,commutator(X_283,X_282))),Z),multiply(commutator(X_282,X_283),multiply(inverse(X_281),Z))) )],[refute_0_2994,refute_0_2995]) ).
cnf(refute_0_2997,plain,
commutator(commutator(X_283,X_281),X_282) = commutator(X_283,commutator(X_281,X_282)),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(X_283)),bind(Y,$fot(X_281)),bind(Z,$fot(X_282))]]) ).
cnf(refute_0_2998,plain,
multiply(commutator(commutator(X_283,X_281),X_282),multiply(inverse(X_281),multiply(commutator(X_282,X_283),Z))) = multiply(commutator(commutator(X_283,X_281),X_282),multiply(inverse(X_281),multiply(commutator(X_282,X_283),Z))),
introduced(tautology,[refl,[$fot(multiply(commutator(commutator(X_283,X_281),X_282),multiply(inverse(X_281),multiply(commutator(X_282,X_283),Z))))]]) ).
cnf(refute_0_2999,plain,
( multiply(commutator(commutator(X_283,X_281),X_282),multiply(inverse(X_281),multiply(commutator(X_282,X_283),Z))) != multiply(commutator(commutator(X_283,X_281),X_282),multiply(inverse(X_281),multiply(commutator(X_282,X_283),Z)))
| commutator(commutator(X_283,X_281),X_282) != commutator(X_283,commutator(X_281,X_282))
| multiply(commutator(commutator(X_283,X_281),X_282),multiply(inverse(X_281),multiply(commutator(X_282,X_283),Z))) = multiply(commutator(X_283,commutator(X_281,X_282)),multiply(inverse(X_281),multiply(commutator(X_282,X_283),Z))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(commutator(X_283,X_281),X_282),multiply(inverse(X_281),multiply(commutator(X_282,X_283),Z))),multiply(commutator(commutator(X_283,X_281),X_282),multiply(inverse(X_281),multiply(commutator(X_282,X_283),Z)))) ),[1,0],$fot(commutator(X_283,commutator(X_281,X_282)))]]) ).
cnf(refute_0_3000,plain,
( commutator(commutator(X_283,X_281),X_282) != commutator(X_283,commutator(X_281,X_282))
| multiply(commutator(commutator(X_283,X_281),X_282),multiply(inverse(X_281),multiply(commutator(X_282,X_283),Z))) = multiply(commutator(X_283,commutator(X_281,X_282)),multiply(inverse(X_281),multiply(commutator(X_282,X_283),Z))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(commutator(X_283,X_281),X_282),multiply(inverse(X_281),multiply(commutator(X_282,X_283),Z))),multiply(commutator(commutator(X_283,X_281),X_282),multiply(inverse(X_281),multiply(commutator(X_282,X_283),Z)))) )],[refute_0_2998,refute_0_2999]) ).
cnf(refute_0_3001,plain,
multiply(commutator(commutator(X_283,X_281),X_282),multiply(inverse(X_281),multiply(commutator(X_282,X_283),Z))) = multiply(commutator(X_283,commutator(X_281,X_282)),multiply(inverse(X_281),multiply(commutator(X_282,X_283),Z))),
inference(resolve,[$cnf( $equal(commutator(commutator(X_283,X_281),X_282),commutator(X_283,commutator(X_281,X_282))) )],[refute_0_2997,refute_0_3000]) ).
cnf(refute_0_3002,plain,
multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(commutator(X_282,X_283),Z)) = multiply(commutator(commutator(X_283,X_281),X_282),multiply(inverse(X_281),multiply(commutator(X_282,X_283),Z))),
inference(subst,[],[refute_0_666:[bind(X_366,$fot(multiply(commutator(X_282,X_283),Z))),bind(X_367,$fot(X_281)),bind(X_65,$fot(X_282)),bind(X_66,$fot(commutator(X_283,X_281)))]]) ).
cnf(refute_0_3003,plain,
( multiply(commutator(commutator(X_283,X_281),X_282),multiply(inverse(X_281),multiply(commutator(X_282,X_283),Z))) != multiply(commutator(X_283,commutator(X_281,X_282)),multiply(inverse(X_281),multiply(commutator(X_282,X_283),Z)))
| multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(commutator(X_282,X_283),Z)) != multiply(commutator(commutator(X_283,X_281),X_282),multiply(inverse(X_281),multiply(commutator(X_282,X_283),Z)))
| multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(commutator(X_282,X_283),Z)) = multiply(commutator(X_283,commutator(X_281,X_282)),multiply(inverse(X_281),multiply(commutator(X_282,X_283),Z))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(commutator(X_282,X_283),Z)))),bind(Y0,$fot(multiply(commutator(commutator(X_283,X_281),X_282),multiply(inverse(X_281),multiply(commutator(X_282,X_283),Z))))),bind(Z0,$fot(multiply(commutator(X_283,commutator(X_281,X_282)),multiply(inverse(X_281),multiply(commutator(X_282,X_283),Z)))))]]) ).
cnf(refute_0_3004,plain,
( multiply(commutator(commutator(X_283,X_281),X_282),multiply(inverse(X_281),multiply(commutator(X_282,X_283),Z))) != multiply(commutator(X_283,commutator(X_281,X_282)),multiply(inverse(X_281),multiply(commutator(X_282,X_283),Z)))
| multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(commutator(X_282,X_283),Z)) = multiply(commutator(X_283,commutator(X_281,X_282)),multiply(inverse(X_281),multiply(commutator(X_282,X_283),Z))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(commutator(X_282,X_283),Z)),multiply(commutator(commutator(X_283,X_281),X_282),multiply(inverse(X_281),multiply(commutator(X_282,X_283),Z)))) )],[refute_0_3002,refute_0_3003]) ).
cnf(refute_0_3005,plain,
multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(commutator(X_282,X_283),Z)) = multiply(commutator(X_283,commutator(X_281,X_282)),multiply(inverse(X_281),multiply(commutator(X_282,X_283),Z))),
inference(resolve,[$cnf( $equal(multiply(commutator(commutator(X_283,X_281),X_282),multiply(inverse(X_281),multiply(commutator(X_282,X_283),Z))),multiply(commutator(X_283,commutator(X_281,X_282)),multiply(inverse(X_281),multiply(commutator(X_282,X_283),Z)))) )],[refute_0_3001,refute_0_3004]) ).
cnf(refute_0_3006,plain,
( multiply(commutator(X_282,X_283),multiply(inverse(X_281),Z)) != multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(commutator(X_282,X_283),Z))
| multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(commutator(X_282,X_283),Z)) != multiply(commutator(X_283,commutator(X_281,X_282)),multiply(inverse(X_281),multiply(commutator(X_282,X_283),Z)))
| multiply(commutator(X_282,X_283),multiply(inverse(X_281),Z)) = multiply(commutator(X_283,commutator(X_281,X_282)),multiply(inverse(X_281),multiply(commutator(X_282,X_283),Z))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(commutator(X_282,X_283),multiply(inverse(X_281),Z)),multiply(commutator(X_283,commutator(X_281,X_282)),multiply(inverse(X_281),multiply(commutator(X_282,X_283),Z)))) ),[0],$fot(multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(commutator(X_282,X_283),Z)))]]) ).
cnf(refute_0_3007,plain,
( multiply(commutator(X_282,X_283),multiply(inverse(X_281),Z)) != multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(commutator(X_282,X_283),Z))
| multiply(commutator(X_282,X_283),multiply(inverse(X_281),Z)) = multiply(commutator(X_283,commutator(X_281,X_282)),multiply(inverse(X_281),multiply(commutator(X_282,X_283),Z))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(commutator(X_282,X_283),Z)),multiply(commutator(X_283,commutator(X_281,X_282)),multiply(inverse(X_281),multiply(commutator(X_282,X_283),Z)))) )],[refute_0_3005,refute_0_3006]) ).
cnf(refute_0_3008,plain,
( multiply(inverse(multiply(X_281,commutator(X_283,X_282))),Z) != multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(commutator(X_282,X_283),Z))
| multiply(commutator(X_282,X_283),multiply(inverse(X_281),Z)) = multiply(commutator(X_283,commutator(X_281,X_282)),multiply(inverse(X_281),multiply(commutator(X_282,X_283),Z))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_282,X_283),multiply(inverse(X_281),Z)),multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(commutator(X_282,X_283),Z))) )],[refute_0_2996,refute_0_3007]) ).
cnf(refute_0_3009,plain,
multiply(commutator(X_282,X_283),multiply(inverse(X_281),Z)) = multiply(commutator(X_283,commutator(X_281,X_282)),multiply(inverse(X_281),multiply(commutator(X_282,X_283),Z))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_281,commutator(X_283,X_282))),Z),multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(commutator(X_282,X_283),Z))) )],[refute_0_2993,refute_0_3008]) ).
cnf(refute_0_3010,plain,
( multiply(commutator(X_282,X_283),multiply(inverse(X_281),Z)) != multiply(commutator(X_283,commutator(X_281,X_282)),multiply(inverse(X_281),multiply(commutator(X_282,X_283),Z)))
| multiply(commutator(X_283,commutator(X_281,X_282)),multiply(inverse(X_281),multiply(commutator(X_282,X_283),Z))) = multiply(commutator(X_282,X_283),multiply(inverse(X_281),Z)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(commutator(X_282,X_283),multiply(inverse(X_281),Z)))),bind(Y0,$fot(multiply(commutator(X_283,commutator(X_281,X_282)),multiply(inverse(X_281),multiply(commutator(X_282,X_283),Z)))))]]) ).
cnf(refute_0_3011,plain,
multiply(commutator(X_283,commutator(X_281,X_282)),multiply(inverse(X_281),multiply(commutator(X_282,X_283),Z))) = multiply(commutator(X_282,X_283),multiply(inverse(X_281),Z)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_282,X_283),multiply(inverse(X_281),Z)),multiply(commutator(X_283,commutator(X_281,X_282)),multiply(inverse(X_281),multiply(commutator(X_282,X_283),Z)))) )],[refute_0_3009,refute_0_3010]) ).
cnf(refute_0_3012,plain,
multiply(commutator(X_256,commutator(Y,X_255)),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) = multiply(commutator(X_255,X_256),multiply(inverse(Y),Y)),
inference(subst,[],[refute_0_3011:[bind(Z,$fot(Y)),bind(X_281,$fot(Y)),bind(X_282,$fot(X_255)),bind(X_283,$fot(X_256))]]) ).
cnf(refute_0_3013,plain,
( multiply(commutator(X_255,X_256),multiply(inverse(Y),Y)) != commutator(X_255,X_256)
| multiply(commutator(X_256,commutator(Y,X_255)),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) != multiply(commutator(X_255,X_256),multiply(inverse(Y),Y))
| multiply(commutator(X_256,commutator(Y,X_255)),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) = commutator(X_255,X_256) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_256,commutator(Y,X_255)),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))))),bind(Y0,$fot(multiply(commutator(X_255,X_256),multiply(inverse(Y),Y)))),bind(Z0,$fot(commutator(X_255,X_256)))]]) ).
cnf(refute_0_3014,plain,
( multiply(commutator(X_255,X_256),multiply(inverse(Y),Y)) != commutator(X_255,X_256)
| multiply(commutator(X_256,commutator(Y,X_255)),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) = commutator(X_255,X_256) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_256,commutator(Y,X_255)),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))),multiply(commutator(X_255,X_256),multiply(inverse(Y),Y))) )],[refute_0_3012,refute_0_3013]) ).
cnf(refute_0_3015,plain,
multiply(commutator(X_256,commutator(Y,X_255)),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) = commutator(X_255,X_256),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,X_256),multiply(inverse(Y),Y)),commutator(X_255,X_256)) )],[refute_0_2986,refute_0_3014]) ).
cnf(refute_0_3016,plain,
commutator(commutator(X_256,Y),X_255) = commutator(X_256,commutator(Y,X_255)),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(X_256)),bind(Z,$fot(X_255))]]) ).
cnf(refute_0_3017,plain,
multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) = multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))),
introduced(tautology,[refl,[$fot(multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))))]]) ).
cnf(refute_0_3018,plain,
( multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) != multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))
| commutator(commutator(X_256,Y),X_255) != commutator(X_256,commutator(Y,X_255))
| multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) = multiply(commutator(X_256,commutator(Y,X_255)),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))),multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))) ),[1,0],$fot(commutator(X_256,commutator(Y,X_255)))]]) ).
cnf(refute_0_3019,plain,
( commutator(commutator(X_256,Y),X_255) != commutator(X_256,commutator(Y,X_255))
| multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) = multiply(commutator(X_256,commutator(Y,X_255)),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))),multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))) )],[refute_0_3017,refute_0_3018]) ).
cnf(refute_0_3020,plain,
multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) = multiply(commutator(X_256,commutator(Y,X_255)),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))),
inference(resolve,[$cnf( $equal(commutator(commutator(X_256,Y),X_255),commutator(X_256,commutator(Y,X_255))) )],[refute_0_3016,refute_0_3019]) ).
cnf(refute_0_3021,plain,
( multiply(commutator(X_256,commutator(Y,X_255)),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) != commutator(X_255,X_256)
| multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) != multiply(commutator(X_256,commutator(Y,X_255)),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))
| multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) = commutator(X_255,X_256) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))))),bind(Y0,$fot(multiply(commutator(X_256,commutator(Y,X_255)),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))))),bind(Z0,$fot(commutator(X_255,X_256)))]]) ).
cnf(refute_0_3022,plain,
( multiply(commutator(X_256,commutator(Y,X_255)),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) != commutator(X_255,X_256)
| multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) = commutator(X_255,X_256) ),
inference(resolve,[$cnf( $equal(multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))),multiply(commutator(X_256,commutator(Y,X_255)),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))) )],[refute_0_3020,refute_0_3021]) ).
cnf(refute_0_3023,plain,
multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) = commutator(X_255,X_256),
inference(resolve,[$cnf( $equal(multiply(commutator(X_256,commutator(Y,X_255)),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))),commutator(X_255,X_256)) )],[refute_0_3015,refute_0_3022]) ).
cnf(refute_0_3024,plain,
multiply(inverse(multiply(Y,commutator(X_255,commutator(X_256,Y)))),multiply(commutator(X_255,X_256),Y)) = multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))),
inference(subst,[],[refute_0_666:[bind(X_366,$fot(multiply(commutator(X_255,X_256),Y))),bind(X_367,$fot(Y)),bind(X_65,$fot(X_255)),bind(X_66,$fot(commutator(X_256,Y)))]]) ).
cnf(refute_0_3025,plain,
multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) = multiply(inverse(multiply(Y,commutator(X_255,commutator(X_256,Y)))),multiply(commutator(X_255,X_256),Y)),
inference(subst,[],[refute_0_242:[bind(Z,$fot(multiply(commutator(X_255,X_256),Y))),bind(X_62,$fot(commutator(X_255,commutator(X_256,Y)))),bind(X_63,$fot(Y))]]) ).
cnf(refute_0_3026,plain,
( multiply(inverse(multiply(Y,commutator(X_255,commutator(X_256,Y)))),multiply(commutator(X_255,X_256),Y)) != multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))
| multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) != multiply(inverse(multiply(Y,commutator(X_255,commutator(X_256,Y)))),multiply(commutator(X_255,X_256),Y))
| multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) = multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))))),bind(Y0,$fot(multiply(inverse(multiply(Y,commutator(X_255,commutator(X_256,Y)))),multiply(commutator(X_255,X_256),Y)))),bind(Z0,$fot(multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))))]]) ).
cnf(refute_0_3027,plain,
( multiply(inverse(multiply(Y,commutator(X_255,commutator(X_256,Y)))),multiply(commutator(X_255,X_256),Y)) != multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))
| multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) = multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))),multiply(inverse(multiply(Y,commutator(X_255,commutator(X_256,Y)))),multiply(commutator(X_255,X_256),Y))) )],[refute_0_3025,refute_0_3026]) ).
cnf(refute_0_3028,plain,
multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) = multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(Y,commutator(X_255,commutator(X_256,Y)))),multiply(commutator(X_255,X_256),Y)),multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))) )],[refute_0_3024,refute_0_3027]) ).
cnf(refute_0_3029,plain,
( multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) != commutator(X_255,X_256)
| multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) != multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))
| multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) = commutator(X_255,X_256) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))))),bind(Y0,$fot(multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))))),bind(Z0,$fot(commutator(X_255,X_256)))]]) ).
cnf(refute_0_3030,plain,
( multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) != commutator(X_255,X_256)
| multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) = commutator(X_255,X_256) ),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))),multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))) )],[refute_0_3028,refute_0_3029]) ).
cnf(refute_0_3031,plain,
multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) = commutator(X_255,X_256),
inference(resolve,[$cnf( $equal(multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))),commutator(X_255,X_256)) )],[refute_0_3023,refute_0_3030]) ).
cnf(refute_0_3032,plain,
multiply(commutator(X_256,commutator(Y,X_255)),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))) = multiply(commutator(X_256,commutator(Y,X_255)),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))),
introduced(tautology,[refl,[$fot(multiply(commutator(X_256,commutator(Y,X_255)),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))))]]) ).
cnf(refute_0_3033,plain,
( multiply(commutator(X_256,commutator(Y,X_255)),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))) != multiply(commutator(X_256,commutator(Y,X_255)),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))))
| multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) != commutator(X_255,X_256)
| multiply(commutator(X_256,commutator(Y,X_255)),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))) = multiply(commutator(X_256,commutator(Y,X_255)),commutator(X_255,X_256)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_256,commutator(Y,X_255)),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))),multiply(commutator(X_256,commutator(Y,X_255)),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))))) ),[1,1],$fot(commutator(X_255,X_256))]]) ).
cnf(refute_0_3034,plain,
( multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) != commutator(X_255,X_256)
| multiply(commutator(X_256,commutator(Y,X_255)),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))) = multiply(commutator(X_256,commutator(Y,X_255)),commutator(X_255,X_256)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_256,commutator(Y,X_255)),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))),multiply(commutator(X_256,commutator(Y,X_255)),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))))) )],[refute_0_3032,refute_0_3033]) ).
cnf(refute_0_3035,plain,
multiply(commutator(X_256,commutator(Y,X_255)),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))) = multiply(commutator(X_256,commutator(Y,X_255)),commutator(X_255,X_256)),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))),commutator(X_255,X_256)) )],[refute_0_3031,refute_0_3034]) ).
cnf(refute_0_3036,plain,
multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))) = multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))),
introduced(tautology,[refl,[$fot(multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))))]]) ).
cnf(refute_0_3037,plain,
( multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))) != multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))))
| commutator(commutator(X_256,Y),X_255) != commutator(X_256,commutator(Y,X_255))
| multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))) = multiply(commutator(X_256,commutator(Y,X_255)),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))),multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))))) ),[1,0],$fot(commutator(X_256,commutator(Y,X_255)))]]) ).
cnf(refute_0_3038,plain,
( commutator(commutator(X_256,Y),X_255) != commutator(X_256,commutator(Y,X_255))
| multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))) = multiply(commutator(X_256,commutator(Y,X_255)),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))),multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))))) )],[refute_0_3036,refute_0_3037]) ).
cnf(refute_0_3039,plain,
multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))) = multiply(commutator(X_256,commutator(Y,X_255)),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))),
inference(resolve,[$cnf( $equal(commutator(commutator(X_256,Y),X_255),commutator(X_256,commutator(Y,X_255))) )],[refute_0_3016,refute_0_3038]) ).
cnf(refute_0_3040,plain,
( multiply(commutator(X_256,commutator(Y,X_255)),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))) != multiply(commutator(X_256,commutator(Y,X_255)),commutator(X_255,X_256))
| multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))) != multiply(commutator(X_256,commutator(Y,X_255)),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))))
| multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))) = multiply(commutator(X_256,commutator(Y,X_255)),commutator(X_255,X_256)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))))),bind(Y0,$fot(multiply(commutator(X_256,commutator(Y,X_255)),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))))),bind(Z0,$fot(multiply(commutator(X_256,commutator(Y,X_255)),commutator(X_255,X_256))))]]) ).
cnf(refute_0_3041,plain,
( multiply(commutator(X_256,commutator(Y,X_255)),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))) != multiply(commutator(X_256,commutator(Y,X_255)),commutator(X_255,X_256))
| multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))) = multiply(commutator(X_256,commutator(Y,X_255)),commutator(X_255,X_256)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))),multiply(commutator(X_256,commutator(Y,X_255)),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))))) )],[refute_0_3039,refute_0_3040]) ).
cnf(refute_0_3042,plain,
multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))) = multiply(commutator(X_256,commutator(Y,X_255)),commutator(X_255,X_256)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_256,commutator(Y,X_255)),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))),multiply(commutator(X_256,commutator(Y,X_255)),commutator(X_255,X_256))) )],[refute_0_3035,refute_0_3041]) ).
cnf(refute_0_3043,plain,
multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,commutator(X_256,Y)))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) = multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))),
inference(subst,[],[refute_0_666:[bind(X_366,$fot(multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))),bind(X_367,$fot(commutator(X_255,commutator(X_256,Y)))),bind(X_65,$fot(X_255)),bind(X_66,$fot(commutator(X_256,Y)))]]) ).
cnf(refute_0_3044,plain,
( multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))) != multiply(commutator(X_256,commutator(Y,X_255)),commutator(X_255,X_256))
| multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,commutator(X_256,Y)))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) != multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))))
| multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,commutator(X_256,Y)))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) = multiply(commutator(X_256,commutator(Y,X_255)),commutator(X_255,X_256)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,commutator(X_256,Y)))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))))),bind(Y0,$fot(multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))))),bind(Z0,$fot(multiply(commutator(X_256,commutator(Y,X_255)),commutator(X_255,X_256))))]]) ).
cnf(refute_0_3045,plain,
( multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))) != multiply(commutator(X_256,commutator(Y,X_255)),commutator(X_255,X_256))
| multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,commutator(X_256,Y)))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) = multiply(commutator(X_256,commutator(Y,X_255)),commutator(X_255,X_256)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,commutator(X_256,Y)))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))),multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))))) )],[refute_0_3043,refute_0_3044]) ).
cnf(refute_0_3046,plain,
multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,commutator(X_256,Y)))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) = multiply(commutator(X_256,commutator(Y,X_255)),commutator(X_255,X_256)),
inference(resolve,[$cnf( $equal(multiply(commutator(commutator(X_256,Y),X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y)))),multiply(commutator(X_256,commutator(Y,X_255)),commutator(X_255,X_256))) )],[refute_0_3042,refute_0_3045]) ).
cnf(refute_0_3047,plain,
( multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,commutator(X_256,Y)))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) != multiply(commutator(X_256,commutator(Y,X_255)),commutator(X_255,X_256))
| multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,commutator(X_256,Y)))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) != multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,X_256))),multiply(commutator(X_255,X_256),commutator(X_255,X_256)))
| multiply(commutator(X_256,commutator(Y,X_255)),commutator(X_255,X_256)) = multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,X_256))),multiply(commutator(X_255,X_256),commutator(X_255,X_256))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,commutator(X_256,Y)))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))),multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,X_256))),multiply(commutator(X_255,X_256),commutator(X_255,X_256)))) ),[0],$fot(multiply(commutator(X_256,commutator(Y,X_255)),commutator(X_255,X_256)))]]) ).
cnf(refute_0_3048,plain,
( multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,commutator(X_256,Y)))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) != multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,X_256))),multiply(commutator(X_255,X_256),commutator(X_255,X_256)))
| multiply(commutator(X_256,commutator(Y,X_255)),commutator(X_255,X_256)) = multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,X_256))),multiply(commutator(X_255,X_256),commutator(X_255,X_256))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,commutator(X_256,Y)))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))),multiply(commutator(X_256,commutator(Y,X_255)),commutator(X_255,X_256))) )],[refute_0_3046,refute_0_3047]) ).
cnf(refute_0_3049,plain,
inverse(multiply(inverse(multiply(X_134,X_127)),commutator(inverse(multiply(X_134,X_127)),X_127))) = multiply(inverse(multiply(inverse(multiply(X_134,X_127)),X_127)),X_127),
inference(subst,[],[refute_0_814:[bind(X_128,$fot(inverse(multiply(X_134,X_127))))]]) ).
cnf(refute_0_3050,plain,
inverse(multiply(X_134,commutator(X_134,X_127))) = multiply(inverse(multiply(X_134,X_127)),X_127),
inference(subst,[],[refute_0_814:[bind(X_128,$fot(X_134))]]) ).
cnf(refute_0_3051,plain,
( inverse(multiply(X_134,commutator(X_134,X_127))) != multiply(inverse(multiply(X_134,X_127)),X_127)
| multiply(inverse(multiply(X_134,X_127)),X_127) = inverse(multiply(X_134,commutator(X_134,X_127))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(inverse(multiply(X_134,commutator(X_134,X_127))))),bind(Y0,$fot(multiply(inverse(multiply(X_134,X_127)),X_127)))]]) ).
cnf(refute_0_3052,plain,
multiply(inverse(multiply(X_134,X_127)),X_127) = inverse(multiply(X_134,commutator(X_134,X_127))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_134,commutator(X_134,X_127))),multiply(inverse(multiply(X_134,X_127)),X_127)) )],[refute_0_3050,refute_0_3051]) ).
cnf(refute_0_3053,plain,
( multiply(inverse(multiply(X_134,X_127)),X_127) != inverse(multiply(X_134,commutator(X_134,X_127)))
| inverse(multiply(inverse(multiply(X_134,X_127)),commutator(inverse(multiply(X_134,X_127)),X_127))) != multiply(inverse(multiply(inverse(multiply(X_134,X_127)),X_127)),X_127)
| inverse(multiply(inverse(multiply(X_134,X_127)),commutator(inverse(multiply(X_134,X_127)),X_127))) = multiply(inverse(inverse(multiply(X_134,commutator(X_134,X_127)))),X_127) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(multiply(X_134,X_127)),commutator(inverse(multiply(X_134,X_127)),X_127))),multiply(inverse(multiply(inverse(multiply(X_134,X_127)),X_127)),X_127)) ),[1,0,0],$fot(inverse(multiply(X_134,commutator(X_134,X_127))))]]) ).
cnf(refute_0_3054,plain,
( inverse(multiply(inverse(multiply(X_134,X_127)),commutator(inverse(multiply(X_134,X_127)),X_127))) != multiply(inverse(multiply(inverse(multiply(X_134,X_127)),X_127)),X_127)
| inverse(multiply(inverse(multiply(X_134,X_127)),commutator(inverse(multiply(X_134,X_127)),X_127))) = multiply(inverse(inverse(multiply(X_134,commutator(X_134,X_127)))),X_127) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_134,X_127)),X_127),inverse(multiply(X_134,commutator(X_134,X_127)))) )],[refute_0_3052,refute_0_3053]) ).
cnf(refute_0_3055,plain,
inverse(multiply(inverse(multiply(X_134,X_127)),commutator(inverse(multiply(X_134,X_127)),X_127))) = multiply(inverse(inverse(multiply(X_134,commutator(X_134,X_127)))),X_127),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(X_134,X_127)),commutator(inverse(multiply(X_134,X_127)),X_127))),multiply(inverse(multiply(inverse(multiply(X_134,X_127)),X_127)),X_127)) )],[refute_0_3049,refute_0_3054]) ).
cnf(refute_0_3056,plain,
multiply(multiply(X_134,X_127),X_127) = multiply(X_134,multiply(X_127,X_127)),
inference(subst,[],[associativity:[bind(X,$fot(X_134)),bind(Y,$fot(X_127)),bind(Z,$fot(X_127))]]) ).
cnf(refute_0_3057,plain,
multiply(inverse(X_127),multiply(multiply(X_134,X_127),X_127)) = multiply(inverse(X_127),multiply(multiply(X_134,X_127),X_127)),
introduced(tautology,[refl,[$fot(multiply(inverse(X_127),multiply(multiply(X_134,X_127),X_127)))]]) ).
cnf(refute_0_3058,plain,
( multiply(multiply(X_134,X_127),X_127) != multiply(X_134,multiply(X_127,X_127))
| multiply(inverse(X_127),multiply(multiply(X_134,X_127),X_127)) != multiply(inverse(X_127),multiply(multiply(X_134,X_127),X_127))
| multiply(inverse(X_127),multiply(multiply(X_134,X_127),X_127)) = multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_127),multiply(multiply(X_134,X_127),X_127)),multiply(inverse(X_127),multiply(multiply(X_134,X_127),X_127))) ),[1,1],$fot(multiply(X_134,multiply(X_127,X_127)))]]) ).
cnf(refute_0_3059,plain,
( multiply(multiply(X_134,X_127),X_127) != multiply(X_134,multiply(X_127,X_127))
| multiply(inverse(X_127),multiply(multiply(X_134,X_127),X_127)) = multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_127),multiply(multiply(X_134,X_127),X_127)),multiply(inverse(X_127),multiply(multiply(X_134,X_127),X_127))) )],[refute_0_3057,refute_0_3058]) ).
cnf(refute_0_3060,plain,
multiply(inverse(X_127),multiply(multiply(X_134,X_127),X_127)) = multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_134,X_127),X_127),multiply(X_134,multiply(X_127,X_127))) )],[refute_0_3056,refute_0_3059]) ).
cnf(refute_0_3061,plain,
multiply(multiply(inverse(X_127),multiply(X_134,X_127)),X_127) = multiply(inverse(X_127),multiply(multiply(X_134,X_127),X_127)),
inference(subst,[],[associativity:[bind(X,$fot(inverse(X_127))),bind(Y,$fot(multiply(X_134,X_127))),bind(Z,$fot(X_127))]]) ).
cnf(refute_0_3062,plain,
( multiply(multiply(inverse(X_127),multiply(X_134,X_127)),X_127) != multiply(inverse(X_127),multiply(multiply(X_134,X_127),X_127))
| multiply(inverse(X_127),multiply(multiply(X_134,X_127),X_127)) != multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127)))
| multiply(multiply(inverse(X_127),multiply(X_134,X_127)),X_127) = multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(inverse(X_127),multiply(X_134,X_127)),X_127))),bind(Y0,$fot(multiply(inverse(X_127),multiply(multiply(X_134,X_127),X_127)))),bind(Z0,$fot(multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127)))))]]) ).
cnf(refute_0_3063,plain,
( multiply(inverse(X_127),multiply(multiply(X_134,X_127),X_127)) != multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127)))
| multiply(multiply(inverse(X_127),multiply(X_134,X_127)),X_127) = multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_127),multiply(X_134,X_127)),X_127),multiply(inverse(X_127),multiply(multiply(X_134,X_127),X_127))) )],[refute_0_3061,refute_0_3062]) ).
cnf(refute_0_3064,plain,
multiply(multiply(inverse(X_127),multiply(X_134,X_127)),X_127) = multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_127),multiply(multiply(X_134,X_127),X_127)),multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127)))) )],[refute_0_3060,refute_0_3063]) ).
cnf(refute_0_3065,plain,
inverse(multiply(inverse(multiply(X_134,X_127)),X_127)) = multiply(inverse(X_127),multiply(X_134,X_127)),
inference(subst,[],[refute_0_294:[bind(Z,$fot(X_127)),bind(X_61,$fot(multiply(X_134,X_127)))]]) ).
cnf(refute_0_3066,plain,
multiply(inverse(multiply(inverse(multiply(X_134,X_127)),X_127)),X_127) = multiply(inverse(multiply(inverse(multiply(X_134,X_127)),X_127)),X_127),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(inverse(multiply(X_134,X_127)),X_127)),X_127))]]) ).
cnf(refute_0_3067,plain,
( multiply(inverse(multiply(inverse(multiply(X_134,X_127)),X_127)),X_127) != multiply(inverse(multiply(inverse(multiply(X_134,X_127)),X_127)),X_127)
| inverse(multiply(inverse(multiply(X_134,X_127)),X_127)) != multiply(inverse(X_127),multiply(X_134,X_127))
| multiply(inverse(multiply(inverse(multiply(X_134,X_127)),X_127)),X_127) = multiply(multiply(inverse(X_127),multiply(X_134,X_127)),X_127) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(multiply(X_134,X_127)),X_127)),X_127),multiply(inverse(multiply(inverse(multiply(X_134,X_127)),X_127)),X_127)) ),[1,0],$fot(multiply(inverse(X_127),multiply(X_134,X_127)))]]) ).
cnf(refute_0_3068,plain,
( inverse(multiply(inverse(multiply(X_134,X_127)),X_127)) != multiply(inverse(X_127),multiply(X_134,X_127))
| multiply(inverse(multiply(inverse(multiply(X_134,X_127)),X_127)),X_127) = multiply(multiply(inverse(X_127),multiply(X_134,X_127)),X_127) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(multiply(X_134,X_127)),X_127)),X_127),multiply(inverse(multiply(inverse(multiply(X_134,X_127)),X_127)),X_127)) )],[refute_0_3066,refute_0_3067]) ).
cnf(refute_0_3069,plain,
multiply(inverse(multiply(inverse(multiply(X_134,X_127)),X_127)),X_127) = multiply(multiply(inverse(X_127),multiply(X_134,X_127)),X_127),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(X_134,X_127)),X_127)),multiply(inverse(X_127),multiply(X_134,X_127))) )],[refute_0_3065,refute_0_3068]) ).
cnf(refute_0_3070,plain,
( multiply(multiply(inverse(X_127),multiply(X_134,X_127)),X_127) != multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127)))
| multiply(inverse(multiply(inverse(multiply(X_134,X_127)),X_127)),X_127) != multiply(multiply(inverse(X_127),multiply(X_134,X_127)),X_127)
| multiply(inverse(multiply(inverse(multiply(X_134,X_127)),X_127)),X_127) = multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(inverse(multiply(X_134,X_127)),X_127)),X_127))),bind(Y0,$fot(multiply(multiply(inverse(X_127),multiply(X_134,X_127)),X_127))),bind(Z0,$fot(multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127)))))]]) ).
cnf(refute_0_3071,plain,
( multiply(multiply(inverse(X_127),multiply(X_134,X_127)),X_127) != multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127)))
| multiply(inverse(multiply(inverse(multiply(X_134,X_127)),X_127)),X_127) = multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(multiply(X_134,X_127)),X_127)),X_127),multiply(multiply(inverse(X_127),multiply(X_134,X_127)),X_127)) )],[refute_0_3069,refute_0_3070]) ).
cnf(refute_0_3072,plain,
multiply(inverse(multiply(inverse(multiply(X_134,X_127)),X_127)),X_127) = multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_127),multiply(X_134,X_127)),X_127),multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127)))) )],[refute_0_3064,refute_0_3071]) ).
cnf(refute_0_3073,plain,
( multiply(inverse(multiply(inverse(multiply(X_134,X_127)),X_127)),X_127) != multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127)))
| inverse(multiply(inverse(multiply(X_134,X_127)),commutator(inverse(multiply(X_134,X_127)),X_127))) != multiply(inverse(multiply(inverse(multiply(X_134,X_127)),X_127)),X_127)
| inverse(multiply(inverse(multiply(X_134,X_127)),commutator(inverse(multiply(X_134,X_127)),X_127))) = multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(inverse(multiply(X_134,X_127)),commutator(inverse(multiply(X_134,X_127)),X_127))))),bind(Y0,$fot(multiply(inverse(multiply(inverse(multiply(X_134,X_127)),X_127)),X_127))),bind(Z0,$fot(multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127)))))]]) ).
cnf(refute_0_3074,plain,
( multiply(inverse(multiply(inverse(multiply(X_134,X_127)),X_127)),X_127) != multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127)))
| inverse(multiply(inverse(multiply(X_134,X_127)),commutator(inverse(multiply(X_134,X_127)),X_127))) = multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(X_134,X_127)),commutator(inverse(multiply(X_134,X_127)),X_127))),multiply(inverse(multiply(inverse(multiply(X_134,X_127)),X_127)),X_127)) )],[refute_0_3049,refute_0_3073]) ).
cnf(refute_0_3075,plain,
inverse(multiply(inverse(multiply(X_134,X_127)),commutator(inverse(multiply(X_134,X_127)),X_127))) = multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(multiply(X_134,X_127)),X_127)),X_127),multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127)))) )],[refute_0_3072,refute_0_3074]) ).
cnf(refute_0_3076,plain,
( inverse(multiply(inverse(multiply(X_134,X_127)),commutator(inverse(multiply(X_134,X_127)),X_127))) != multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127)))
| inverse(multiply(inverse(multiply(X_134,X_127)),commutator(inverse(multiply(X_134,X_127)),X_127))) != multiply(inverse(inverse(multiply(X_134,commutator(X_134,X_127)))),X_127)
| multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127))) = multiply(inverse(inverse(multiply(X_134,commutator(X_134,X_127)))),X_127) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(multiply(X_134,X_127)),commutator(inverse(multiply(X_134,X_127)),X_127))),multiply(inverse(inverse(multiply(X_134,commutator(X_134,X_127)))),X_127)) ),[0],$fot(multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127))))]]) ).
cnf(refute_0_3077,plain,
( inverse(multiply(inverse(multiply(X_134,X_127)),commutator(inverse(multiply(X_134,X_127)),X_127))) != multiply(inverse(inverse(multiply(X_134,commutator(X_134,X_127)))),X_127)
| multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127))) = multiply(inverse(inverse(multiply(X_134,commutator(X_134,X_127)))),X_127) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(X_134,X_127)),commutator(inverse(multiply(X_134,X_127)),X_127))),multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127)))) )],[refute_0_3075,refute_0_3076]) ).
cnf(refute_0_3078,plain,
multiply(multiply(X_134,commutator(X_134,X_127)),X_127) = multiply(X_134,multiply(commutator(X_134,X_127),X_127)),
inference(subst,[],[associativity:[bind(X,$fot(X_134)),bind(Y,$fot(commutator(X_134,X_127))),bind(Z,$fot(X_127))]]) ).
cnf(refute_0_3079,plain,
inverse(inverse(multiply(X_134,commutator(X_134,X_127)))) = multiply(X_134,commutator(X_134,X_127)),
inference(subst,[],[refute_0_152:[bind(X_27,$fot(multiply(X_134,commutator(X_134,X_127))))]]) ).
cnf(refute_0_3080,plain,
multiply(inverse(inverse(multiply(X_134,commutator(X_134,X_127)))),X_127) = multiply(inverse(inverse(multiply(X_134,commutator(X_134,X_127)))),X_127),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(multiply(X_134,commutator(X_134,X_127)))),X_127))]]) ).
cnf(refute_0_3081,plain,
( multiply(inverse(inverse(multiply(X_134,commutator(X_134,X_127)))),X_127) != multiply(inverse(inverse(multiply(X_134,commutator(X_134,X_127)))),X_127)
| inverse(inverse(multiply(X_134,commutator(X_134,X_127)))) != multiply(X_134,commutator(X_134,X_127))
| multiply(inverse(inverse(multiply(X_134,commutator(X_134,X_127)))),X_127) = multiply(multiply(X_134,commutator(X_134,X_127)),X_127) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(multiply(X_134,commutator(X_134,X_127)))),X_127),multiply(inverse(inverse(multiply(X_134,commutator(X_134,X_127)))),X_127)) ),[1,0],$fot(multiply(X_134,commutator(X_134,X_127)))]]) ).
cnf(refute_0_3082,plain,
( inverse(inverse(multiply(X_134,commutator(X_134,X_127)))) != multiply(X_134,commutator(X_134,X_127))
| multiply(inverse(inverse(multiply(X_134,commutator(X_134,X_127)))),X_127) = multiply(multiply(X_134,commutator(X_134,X_127)),X_127) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_134,commutator(X_134,X_127)))),X_127),multiply(inverse(inverse(multiply(X_134,commutator(X_134,X_127)))),X_127)) )],[refute_0_3080,refute_0_3081]) ).
cnf(refute_0_3083,plain,
multiply(inverse(inverse(multiply(X_134,commutator(X_134,X_127)))),X_127) = multiply(multiply(X_134,commutator(X_134,X_127)),X_127),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_134,commutator(X_134,X_127)))),multiply(X_134,commutator(X_134,X_127))) )],[refute_0_3079,refute_0_3082]) ).
cnf(refute_0_3084,plain,
( multiply(multiply(X_134,commutator(X_134,X_127)),X_127) != multiply(X_134,multiply(commutator(X_134,X_127),X_127))
| multiply(inverse(inverse(multiply(X_134,commutator(X_134,X_127)))),X_127) != multiply(multiply(X_134,commutator(X_134,X_127)),X_127)
| multiply(inverse(inverse(multiply(X_134,commutator(X_134,X_127)))),X_127) = multiply(X_134,multiply(commutator(X_134,X_127),X_127)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(inverse(multiply(X_134,commutator(X_134,X_127)))),X_127))),bind(Y0,$fot(multiply(multiply(X_134,commutator(X_134,X_127)),X_127))),bind(Z0,$fot(multiply(X_134,multiply(commutator(X_134,X_127),X_127))))]]) ).
cnf(refute_0_3085,plain,
( multiply(multiply(X_134,commutator(X_134,X_127)),X_127) != multiply(X_134,multiply(commutator(X_134,X_127),X_127))
| multiply(inverse(inverse(multiply(X_134,commutator(X_134,X_127)))),X_127) = multiply(X_134,multiply(commutator(X_134,X_127),X_127)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_134,commutator(X_134,X_127)))),X_127),multiply(multiply(X_134,commutator(X_134,X_127)),X_127)) )],[refute_0_3083,refute_0_3084]) ).
cnf(refute_0_3086,plain,
multiply(inverse(inverse(multiply(X_134,commutator(X_134,X_127)))),X_127) = multiply(X_134,multiply(commutator(X_134,X_127),X_127)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_134,commutator(X_134,X_127)),X_127),multiply(X_134,multiply(commutator(X_134,X_127),X_127))) )],[refute_0_3078,refute_0_3085]) ).
cnf(refute_0_3087,plain,
( multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127))) != multiply(inverse(inverse(multiply(X_134,commutator(X_134,X_127)))),X_127)
| multiply(inverse(inverse(multiply(X_134,commutator(X_134,X_127)))),X_127) != multiply(X_134,multiply(commutator(X_134,X_127),X_127))
| multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127))) = multiply(X_134,multiply(commutator(X_134,X_127),X_127)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127))),multiply(X_134,multiply(commutator(X_134,X_127),X_127))) ),[0],$fot(multiply(inverse(inverse(multiply(X_134,commutator(X_134,X_127)))),X_127))]]) ).
cnf(refute_0_3088,plain,
( multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127))) != multiply(inverse(inverse(multiply(X_134,commutator(X_134,X_127)))),X_127)
| multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127))) = multiply(X_134,multiply(commutator(X_134,X_127),X_127)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_134,commutator(X_134,X_127)))),X_127),multiply(X_134,multiply(commutator(X_134,X_127),X_127))) )],[refute_0_3086,refute_0_3087]) ).
cnf(refute_0_3089,plain,
( inverse(multiply(inverse(multiply(X_134,X_127)),commutator(inverse(multiply(X_134,X_127)),X_127))) != multiply(inverse(inverse(multiply(X_134,commutator(X_134,X_127)))),X_127)
| multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127))) = multiply(X_134,multiply(commutator(X_134,X_127),X_127)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127))),multiply(inverse(inverse(multiply(X_134,commutator(X_134,X_127)))),X_127)) )],[refute_0_3077,refute_0_3088]) ).
cnf(refute_0_3090,plain,
multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127))) = multiply(X_134,multiply(commutator(X_134,X_127),X_127)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(X_134,X_127)),commutator(inverse(multiply(X_134,X_127)),X_127))),multiply(inverse(inverse(multiply(X_134,commutator(X_134,X_127)))),X_127)) )],[refute_0_3055,refute_0_3089]) ).
cnf(refute_0_3091,plain,
multiply(commutator(X_134,X_127),X_127) = multiply(X_127,commutator(X_134,X_127)),
inference(subst,[],[refute_0_1032:[bind(X_135,$fot(X_134)),bind(X_153,$fot(X_127))]]) ).
cnf(refute_0_3092,plain,
multiply(X_134,multiply(commutator(X_134,X_127),X_127)) = multiply(X_134,multiply(commutator(X_134,X_127),X_127)),
introduced(tautology,[refl,[$fot(multiply(X_134,multiply(commutator(X_134,X_127),X_127)))]]) ).
cnf(refute_0_3093,plain,
( multiply(X_134,multiply(commutator(X_134,X_127),X_127)) != multiply(X_134,multiply(commutator(X_134,X_127),X_127))
| multiply(commutator(X_134,X_127),X_127) != multiply(X_127,commutator(X_134,X_127))
| multiply(X_134,multiply(commutator(X_134,X_127),X_127)) = multiply(X_134,multiply(X_127,commutator(X_134,X_127))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_134,multiply(commutator(X_134,X_127),X_127)),multiply(X_134,multiply(commutator(X_134,X_127),X_127))) ),[1,1],$fot(multiply(X_127,commutator(X_134,X_127)))]]) ).
cnf(refute_0_3094,plain,
( multiply(commutator(X_134,X_127),X_127) != multiply(X_127,commutator(X_134,X_127))
| multiply(X_134,multiply(commutator(X_134,X_127),X_127)) = multiply(X_134,multiply(X_127,commutator(X_134,X_127))) ),
inference(resolve,[$cnf( $equal(multiply(X_134,multiply(commutator(X_134,X_127),X_127)),multiply(X_134,multiply(commutator(X_134,X_127),X_127))) )],[refute_0_3092,refute_0_3093]) ).
cnf(refute_0_3095,plain,
multiply(X_134,multiply(commutator(X_134,X_127),X_127)) = multiply(X_134,multiply(X_127,commutator(X_134,X_127))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_134,X_127),X_127),multiply(X_127,commutator(X_134,X_127))) )],[refute_0_3091,refute_0_3094]) ).
cnf(refute_0_3096,plain,
( multiply(X_134,multiply(commutator(X_134,X_127),X_127)) != multiply(X_134,multiply(X_127,commutator(X_134,X_127)))
| multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127))) != multiply(X_134,multiply(commutator(X_134,X_127),X_127))
| multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127))) = multiply(X_134,multiply(X_127,commutator(X_134,X_127))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127))),multiply(X_134,multiply(commutator(X_134,X_127),X_127))) ),[1],$fot(multiply(X_134,multiply(X_127,commutator(X_134,X_127))))]]) ).
cnf(refute_0_3097,plain,
( multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127))) != multiply(X_134,multiply(commutator(X_134,X_127),X_127))
| multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127))) = multiply(X_134,multiply(X_127,commutator(X_134,X_127))) ),
inference(resolve,[$cnf( $equal(multiply(X_134,multiply(commutator(X_134,X_127),X_127)),multiply(X_134,multiply(X_127,commutator(X_134,X_127)))) )],[refute_0_3095,refute_0_3096]) ).
cnf(refute_0_3098,plain,
multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127))) = multiply(X_134,multiply(X_127,commutator(X_134,X_127))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_127),multiply(X_134,multiply(X_127,X_127))),multiply(X_134,multiply(commutator(X_134,X_127),X_127))) )],[refute_0_3090,refute_0_3097]) ).
cnf(refute_0_3099,plain,
multiply(inverse(commutator(X,Z)),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))) = multiply(X_384,multiply(commutator(X,Z),commutator(X_384,commutator(X,Z)))),
inference(subst,[],[refute_0_3098:[bind(X_127,$fot(commutator(X,Z))),bind(X_134,$fot(X_384))]]) ).
cnf(refute_0_3100,plain,
commutator(commutator(X,inverse(X_113)),Z) = commutator(X,commutator(inverse(X_113),Z)),
inference(subst,[],[associativity_of_commutator:[bind(Y,$fot(inverse(X_113)))]]) ).
cnf(refute_0_3101,plain,
commutator(X_113,X) = commutator(X,inverse(X_113)),
inference(subst,[],[refute_0_572:[bind(X_109,$fot(X_113)),bind(X_110,$fot(X))]]) ).
cnf(refute_0_3102,plain,
( commutator(X_113,X) != commutator(X,inverse(X_113))
| commutator(X,inverse(X_113)) = commutator(X_113,X) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_113,X))),bind(Y0,$fot(commutator(X,inverse(X_113))))]]) ).
cnf(refute_0_3103,plain,
commutator(X,inverse(X_113)) = commutator(X_113,X),
inference(resolve,[$cnf( $equal(commutator(X_113,X),commutator(X,inverse(X_113))) )],[refute_0_3101,refute_0_3102]) ).
cnf(refute_0_3104,plain,
( commutator(X,inverse(X_113)) != commutator(X_113,X)
| commutator(commutator(X,inverse(X_113)),Z) != commutator(X,commutator(inverse(X_113),Z))
| commutator(commutator(X_113,X),Z) = commutator(X,commutator(inverse(X_113),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(X,inverse(X_113)),Z),commutator(X,commutator(inverse(X_113),Z))) ),[0,0],$fot(commutator(X_113,X))]]) ).
cnf(refute_0_3105,plain,
( commutator(commutator(X,inverse(X_113)),Z) != commutator(X,commutator(inverse(X_113),Z))
| commutator(commutator(X_113,X),Z) = commutator(X,commutator(inverse(X_113),Z)) ),
inference(resolve,[$cnf( $equal(commutator(X,inverse(X_113)),commutator(X_113,X)) )],[refute_0_3103,refute_0_3104]) ).
cnf(refute_0_3106,plain,
commutator(commutator(X_113,X),Z) = commutator(X,commutator(inverse(X_113),Z)),
inference(resolve,[$cnf( $equal(commutator(commutator(X,inverse(X_113)),Z),commutator(X,commutator(inverse(X_113),Z))) )],[refute_0_3100,refute_0_3105]) ).
cnf(refute_0_3107,plain,
commutator(commutator(X_113,X),Z) = commutator(X_113,commutator(X,Z)),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(X_113)),bind(Y,$fot(X))]]) ).
cnf(refute_0_3108,plain,
( commutator(commutator(X_113,X),Z) != commutator(X,commutator(inverse(X_113),Z))
| commutator(commutator(X_113,X),Z) != commutator(X_113,commutator(X,Z))
| commutator(X_113,commutator(X,Z)) = commutator(X,commutator(inverse(X_113),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(X_113,X),Z),commutator(X,commutator(inverse(X_113),Z))) ),[0],$fot(commutator(X_113,commutator(X,Z)))]]) ).
cnf(refute_0_3109,plain,
( commutator(commutator(X_113,X),Z) != commutator(X,commutator(inverse(X_113),Z))
| commutator(X_113,commutator(X,Z)) = commutator(X,commutator(inverse(X_113),Z)) ),
inference(resolve,[$cnf( $equal(commutator(commutator(X_113,X),Z),commutator(X_113,commutator(X,Z))) )],[refute_0_3107,refute_0_3108]) ).
cnf(refute_0_3110,plain,
commutator(inverse(X_113),Z) = commutator(Z,X_113),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(X_113)),bind(X_110,$fot(Z))]]) ).
cnf(refute_0_3111,plain,
commutator(X,commutator(inverse(X_113),Z)) = commutator(X,commutator(inverse(X_113),Z)),
introduced(tautology,[refl,[$fot(commutator(X,commutator(inverse(X_113),Z)))]]) ).
cnf(refute_0_3112,plain,
( commutator(X,commutator(inverse(X_113),Z)) != commutator(X,commutator(inverse(X_113),Z))
| commutator(inverse(X_113),Z) != commutator(Z,X_113)
| commutator(X,commutator(inverse(X_113),Z)) = commutator(X,commutator(Z,X_113)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X,commutator(inverse(X_113),Z)),commutator(X,commutator(inverse(X_113),Z))) ),[1,1],$fot(commutator(Z,X_113))]]) ).
cnf(refute_0_3113,plain,
( commutator(inverse(X_113),Z) != commutator(Z,X_113)
| commutator(X,commutator(inverse(X_113),Z)) = commutator(X,commutator(Z,X_113)) ),
inference(resolve,[$cnf( $equal(commutator(X,commutator(inverse(X_113),Z)),commutator(X,commutator(inverse(X_113),Z))) )],[refute_0_3111,refute_0_3112]) ).
cnf(refute_0_3114,plain,
commutator(X,commutator(inverse(X_113),Z)) = commutator(X,commutator(Z,X_113)),
inference(resolve,[$cnf( $equal(commutator(inverse(X_113),Z),commutator(Z,X_113)) )],[refute_0_3110,refute_0_3113]) ).
cnf(refute_0_3115,plain,
( commutator(X,commutator(inverse(X_113),Z)) != commutator(X,commutator(Z,X_113))
| commutator(X_113,commutator(X,Z)) != commutator(X,commutator(inverse(X_113),Z))
| commutator(X_113,commutator(X,Z)) = commutator(X,commutator(Z,X_113)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_113,commutator(X,Z)),commutator(X,commutator(inverse(X_113),Z))) ),[1],$fot(commutator(X,commutator(Z,X_113)))]]) ).
cnf(refute_0_3116,plain,
( commutator(X_113,commutator(X,Z)) != commutator(X,commutator(inverse(X_113),Z))
| commutator(X_113,commutator(X,Z)) = commutator(X,commutator(Z,X_113)) ),
inference(resolve,[$cnf( $equal(commutator(X,commutator(inverse(X_113),Z)),commutator(X,commutator(Z,X_113))) )],[refute_0_3114,refute_0_3115]) ).
cnf(refute_0_3117,plain,
( commutator(commutator(X_113,X),Z) != commutator(X,commutator(inverse(X_113),Z))
| commutator(X_113,commutator(X,Z)) = commutator(X,commutator(Z,X_113)) ),
inference(resolve,[$cnf( $equal(commutator(X_113,commutator(X,Z)),commutator(X,commutator(inverse(X_113),Z))) )],[refute_0_3109,refute_0_3116]) ).
cnf(refute_0_3118,plain,
commutator(X_113,commutator(X,Z)) = commutator(X,commutator(Z,X_113)),
inference(resolve,[$cnf( $equal(commutator(commutator(X_113,X),Z),commutator(X,commutator(inverse(X_113),Z))) )],[refute_0_3106,refute_0_3117]) ).
cnf(refute_0_3119,plain,
commutator(X_384,commutator(X,Z)) = commutator(X,commutator(Z,X_384)),
inference(subst,[],[refute_0_3118:[bind(X_113,$fot(X_384))]]) ).
cnf(refute_0_3120,plain,
( multiply(inverse(commutator(X,Z)),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))) != multiply(X_384,multiply(commutator(X,Z),commutator(X_384,commutator(X,Z))))
| commutator(X_384,commutator(X,Z)) != commutator(X,commutator(Z,X_384))
| multiply(inverse(commutator(X,Z)),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))) = multiply(X_384,multiply(commutator(X,Z),commutator(X,commutator(Z,X_384)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(commutator(X,Z)),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))),multiply(X_384,multiply(commutator(X,Z),commutator(X_384,commutator(X,Z))))) ),[1,1,1],$fot(commutator(X,commutator(Z,X_384)))]]) ).
cnf(refute_0_3121,plain,
( multiply(inverse(commutator(X,Z)),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))) != multiply(X_384,multiply(commutator(X,Z),commutator(X_384,commutator(X,Z))))
| multiply(inverse(commutator(X,Z)),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))) = multiply(X_384,multiply(commutator(X,Z),commutator(X,commutator(Z,X_384)))) ),
inference(resolve,[$cnf( $equal(commutator(X_384,commutator(X,Z)),commutator(X,commutator(Z,X_384))) )],[refute_0_3119,refute_0_3120]) ).
cnf(refute_0_3122,plain,
multiply(inverse(commutator(X,Z)),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))) = multiply(X_384,multiply(commutator(X,Z),commutator(X,commutator(Z,X_384)))),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X,Z)),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))),multiply(X_384,multiply(commutator(X,Z),commutator(X_384,commutator(X,Z))))) )],[refute_0_3099,refute_0_3121]) ).
cnf(refute_0_3123,plain,
multiply(commutator(X,Z),commutator(X,Z)) = commutator(multiply(X,X),Z),
inference(subst,[],[refute_0_2686:[bind(X_325,$fot(Z)),bind(X_90,$fot(X))]]) ).
cnf(refute_0_3124,plain,
multiply(X_384,multiply(commutator(X,Z),commutator(X,Z))) = multiply(X_384,multiply(commutator(X,Z),commutator(X,Z))),
introduced(tautology,[refl,[$fot(multiply(X_384,multiply(commutator(X,Z),commutator(X,Z))))]]) ).
cnf(refute_0_3125,plain,
( multiply(X_384,multiply(commutator(X,Z),commutator(X,Z))) != multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))
| multiply(commutator(X,Z),commutator(X,Z)) != commutator(multiply(X,X),Z)
| multiply(X_384,multiply(commutator(X,Z),commutator(X,Z))) = multiply(X_384,commutator(multiply(X,X),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_384,multiply(commutator(X,Z),commutator(X,Z))),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))) ),[1,1],$fot(commutator(multiply(X,X),Z))]]) ).
cnf(refute_0_3126,plain,
( multiply(commutator(X,Z),commutator(X,Z)) != commutator(multiply(X,X),Z)
| multiply(X_384,multiply(commutator(X,Z),commutator(X,Z))) = multiply(X_384,commutator(multiply(X,X),Z)) ),
inference(resolve,[$cnf( $equal(multiply(X_384,multiply(commutator(X,Z),commutator(X,Z))),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))) )],[refute_0_3124,refute_0_3125]) ).
cnf(refute_0_3127,plain,
multiply(X_384,multiply(commutator(X,Z),commutator(X,Z))) = multiply(X_384,commutator(multiply(X,X),Z)),
inference(resolve,[$cnf( $equal(multiply(commutator(X,Z),commutator(X,Z)),commutator(multiply(X,X),Z)) )],[refute_0_3123,refute_0_3126]) ).
cnf(refute_0_3128,plain,
multiply(commutator(Z,X),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))) = multiply(commutator(Z,X),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))),
introduced(tautology,[refl,[$fot(multiply(commutator(Z,X),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))))]]) ).
cnf(refute_0_3129,plain,
( multiply(X_384,multiply(commutator(X,Z),commutator(X,Z))) != multiply(X_384,commutator(multiply(X,X),Z))
| multiply(commutator(Z,X),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))) != multiply(commutator(Z,X),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z))))
| multiply(commutator(Z,X),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))) = multiply(commutator(Z,X),multiply(X_384,commutator(multiply(X,X),Z))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(Z,X),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))),multiply(commutator(Z,X),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z))))) ),[1,1],$fot(multiply(X_384,commutator(multiply(X,X),Z)))]]) ).
cnf(refute_0_3130,plain,
( multiply(X_384,multiply(commutator(X,Z),commutator(X,Z))) != multiply(X_384,commutator(multiply(X,X),Z))
| multiply(commutator(Z,X),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))) = multiply(commutator(Z,X),multiply(X_384,commutator(multiply(X,X),Z))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(Z,X),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))),multiply(commutator(Z,X),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z))))) )],[refute_0_3128,refute_0_3129]) ).
cnf(refute_0_3131,plain,
multiply(commutator(Z,X),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))) = multiply(commutator(Z,X),multiply(X_384,commutator(multiply(X,X),Z))),
inference(resolve,[$cnf( $equal(multiply(X_384,multiply(commutator(X,Z),commutator(X,Z))),multiply(X_384,commutator(multiply(X,X),Z))) )],[refute_0_3127,refute_0_3130]) ).
cnf(refute_0_3132,plain,
inverse(commutator(X,Z)) = commutator(Z,X),
inference(subst,[],[refute_0_386:[bind(X,$fot(Z)),bind(Y,$fot(X))]]) ).
cnf(refute_0_3133,plain,
multiply(inverse(commutator(X,Z)),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))) = multiply(inverse(commutator(X,Z)),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))),
introduced(tautology,[refl,[$fot(multiply(inverse(commutator(X,Z)),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))))]]) ).
cnf(refute_0_3134,plain,
( multiply(inverse(commutator(X,Z)),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))) != multiply(inverse(commutator(X,Z)),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z))))
| inverse(commutator(X,Z)) != commutator(Z,X)
| multiply(inverse(commutator(X,Z)),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))) = multiply(commutator(Z,X),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(commutator(X,Z)),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))),multiply(inverse(commutator(X,Z)),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z))))) ),[1,0],$fot(commutator(Z,X))]]) ).
cnf(refute_0_3135,plain,
( inverse(commutator(X,Z)) != commutator(Z,X)
| multiply(inverse(commutator(X,Z)),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))) = multiply(commutator(Z,X),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X,Z)),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))),multiply(inverse(commutator(X,Z)),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z))))) )],[refute_0_3133,refute_0_3134]) ).
cnf(refute_0_3136,plain,
multiply(inverse(commutator(X,Z)),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))) = multiply(commutator(Z,X),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))),
inference(resolve,[$cnf( $equal(inverse(commutator(X,Z)),commutator(Z,X)) )],[refute_0_3132,refute_0_3135]) ).
cnf(refute_0_3137,plain,
( multiply(commutator(Z,X),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))) != multiply(commutator(Z,X),multiply(X_384,commutator(multiply(X,X),Z)))
| multiply(inverse(commutator(X,Z)),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))) != multiply(commutator(Z,X),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z))))
| multiply(inverse(commutator(X,Z)),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))) = multiply(commutator(Z,X),multiply(X_384,commutator(multiply(X,X),Z))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(commutator(X,Z)),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))))),bind(Y0,$fot(multiply(commutator(Z,X),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))))),bind(Z0,$fot(multiply(commutator(Z,X),multiply(X_384,commutator(multiply(X,X),Z)))))]]) ).
cnf(refute_0_3138,plain,
( multiply(commutator(Z,X),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))) != multiply(commutator(Z,X),multiply(X_384,commutator(multiply(X,X),Z)))
| multiply(inverse(commutator(X,Z)),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))) = multiply(commutator(Z,X),multiply(X_384,commutator(multiply(X,X),Z))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X,Z)),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))),multiply(commutator(Z,X),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z))))) )],[refute_0_3136,refute_0_3137]) ).
cnf(refute_0_3139,plain,
multiply(inverse(commutator(X,Z)),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))) = multiply(commutator(Z,X),multiply(X_384,commutator(multiply(X,X),Z))),
inference(resolve,[$cnf( $equal(multiply(commutator(Z,X),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))),multiply(commutator(Z,X),multiply(X_384,commutator(multiply(X,X),Z)))) )],[refute_0_3131,refute_0_3138]) ).
cnf(refute_0_3140,plain,
( multiply(inverse(commutator(X,Z)),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))) != multiply(X_384,multiply(commutator(X,Z),commutator(X,commutator(Z,X_384))))
| multiply(inverse(commutator(X,Z)),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))) != multiply(commutator(Z,X),multiply(X_384,commutator(multiply(X,X),Z)))
| multiply(commutator(Z,X),multiply(X_384,commutator(multiply(X,X),Z))) = multiply(X_384,multiply(commutator(X,Z),commutator(X,commutator(Z,X_384)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(commutator(X,Z)),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))),multiply(X_384,multiply(commutator(X,Z),commutator(X,commutator(Z,X_384))))) ),[0],$fot(multiply(commutator(Z,X),multiply(X_384,commutator(multiply(X,X),Z))))]]) ).
cnf(refute_0_3141,plain,
( multiply(inverse(commutator(X,Z)),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))) != multiply(X_384,multiply(commutator(X,Z),commutator(X,commutator(Z,X_384))))
| multiply(commutator(Z,X),multiply(X_384,commutator(multiply(X,X),Z))) = multiply(X_384,multiply(commutator(X,Z),commutator(X,commutator(Z,X_384)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X,Z)),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))),multiply(commutator(Z,X),multiply(X_384,commutator(multiply(X,X),Z)))) )],[refute_0_3139,refute_0_3140]) ).
cnf(refute_0_3142,plain,
multiply(commutator(X_330,X_331),X_329) = multiply(inverse(inverse(X_329)),multiply(inverse(X_329),multiply(commutator(X_330,X_331),X_329))),
inference(subst,[],[refute_0_8:[bind(X_10,$fot(inverse(X_329))),bind(X_11,$fot(multiply(commutator(X_330,X_331),X_329)))]]) ).
cnf(refute_0_3143,plain,
multiply(inverse(X_329),multiply(commutator(X_330,X_331),X_329)) = multiply(commutator(X_330,X_331),commutator(X_330,commutator(X_331,X_329))),
inference(subst,[],[refute_0_2972:[bind(Y,$fot(X_329)),bind(X_255,$fot(X_330)),bind(X_256,$fot(X_331))]]) ).
cnf(refute_0_3144,plain,
( multiply(commutator(X_330,X_331),X_329) != multiply(inverse(inverse(X_329)),multiply(inverse(X_329),multiply(commutator(X_330,X_331),X_329)))
| multiply(inverse(X_329),multiply(commutator(X_330,X_331),X_329)) != multiply(commutator(X_330,X_331),commutator(X_330,commutator(X_331,X_329)))
| multiply(commutator(X_330,X_331),X_329) = multiply(inverse(inverse(X_329)),multiply(commutator(X_330,X_331),commutator(X_330,commutator(X_331,X_329)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_330,X_331),X_329),multiply(inverse(inverse(X_329)),multiply(inverse(X_329),multiply(commutator(X_330,X_331),X_329)))) ),[1,1],$fot(multiply(commutator(X_330,X_331),commutator(X_330,commutator(X_331,X_329))))]]) ).
cnf(refute_0_3145,plain,
( multiply(commutator(X_330,X_331),X_329) != multiply(inverse(inverse(X_329)),multiply(inverse(X_329),multiply(commutator(X_330,X_331),X_329)))
| multiply(commutator(X_330,X_331),X_329) = multiply(inverse(inverse(X_329)),multiply(commutator(X_330,X_331),commutator(X_330,commutator(X_331,X_329)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_329),multiply(commutator(X_330,X_331),X_329)),multiply(commutator(X_330,X_331),commutator(X_330,commutator(X_331,X_329)))) )],[refute_0_3143,refute_0_3144]) ).
cnf(refute_0_3146,plain,
multiply(commutator(X_330,X_331),X_329) = multiply(inverse(inverse(X_329)),multiply(commutator(X_330,X_331),commutator(X_330,commutator(X_331,X_329)))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_330,X_331),X_329),multiply(inverse(inverse(X_329)),multiply(inverse(X_329),multiply(commutator(X_330,X_331),X_329)))) )],[refute_0_3142,refute_0_3145]) ).
cnf(refute_0_3147,plain,
inverse(inverse(X_329)) = X_329,
inference(subst,[],[refute_0_152:[bind(X_27,$fot(X_329))]]) ).
cnf(refute_0_3148,plain,
multiply(inverse(inverse(X_329)),multiply(commutator(X_330,X_331),commutator(X_330,commutator(X_331,X_329)))) = multiply(inverse(inverse(X_329)),multiply(commutator(X_330,X_331),commutator(X_330,commutator(X_331,X_329)))),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_329)),multiply(commutator(X_330,X_331),commutator(X_330,commutator(X_331,X_329)))))]]) ).
cnf(refute_0_3149,plain,
( multiply(inverse(inverse(X_329)),multiply(commutator(X_330,X_331),commutator(X_330,commutator(X_331,X_329)))) != multiply(inverse(inverse(X_329)),multiply(commutator(X_330,X_331),commutator(X_330,commutator(X_331,X_329))))
| inverse(inverse(X_329)) != X_329
| multiply(inverse(inverse(X_329)),multiply(commutator(X_330,X_331),commutator(X_330,commutator(X_331,X_329)))) = multiply(X_329,multiply(commutator(X_330,X_331),commutator(X_330,commutator(X_331,X_329)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_329)),multiply(commutator(X_330,X_331),commutator(X_330,commutator(X_331,X_329)))),multiply(inverse(inverse(X_329)),multiply(commutator(X_330,X_331),commutator(X_330,commutator(X_331,X_329))))) ),[1,0],$fot(X_329)]]) ).
cnf(refute_0_3150,plain,
( inverse(inverse(X_329)) != X_329
| multiply(inverse(inverse(X_329)),multiply(commutator(X_330,X_331),commutator(X_330,commutator(X_331,X_329)))) = multiply(X_329,multiply(commutator(X_330,X_331),commutator(X_330,commutator(X_331,X_329)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_329)),multiply(commutator(X_330,X_331),commutator(X_330,commutator(X_331,X_329)))),multiply(inverse(inverse(X_329)),multiply(commutator(X_330,X_331),commutator(X_330,commutator(X_331,X_329))))) )],[refute_0_3148,refute_0_3149]) ).
cnf(refute_0_3151,plain,
multiply(inverse(inverse(X_329)),multiply(commutator(X_330,X_331),commutator(X_330,commutator(X_331,X_329)))) = multiply(X_329,multiply(commutator(X_330,X_331),commutator(X_330,commutator(X_331,X_329)))),
inference(resolve,[$cnf( $equal(inverse(inverse(X_329)),X_329) )],[refute_0_3147,refute_0_3150]) ).
cnf(refute_0_3152,plain,
( multiply(commutator(X_330,X_331),X_329) != multiply(inverse(inverse(X_329)),multiply(commutator(X_330,X_331),commutator(X_330,commutator(X_331,X_329))))
| multiply(inverse(inverse(X_329)),multiply(commutator(X_330,X_331),commutator(X_330,commutator(X_331,X_329)))) != multiply(X_329,multiply(commutator(X_330,X_331),commutator(X_330,commutator(X_331,X_329))))
| multiply(commutator(X_330,X_331),X_329) = multiply(X_329,multiply(commutator(X_330,X_331),commutator(X_330,commutator(X_331,X_329)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(commutator(X_330,X_331),X_329),multiply(X_329,multiply(commutator(X_330,X_331),commutator(X_330,commutator(X_331,X_329))))) ),[0],$fot(multiply(inverse(inverse(X_329)),multiply(commutator(X_330,X_331),commutator(X_330,commutator(X_331,X_329)))))]]) ).
cnf(refute_0_3153,plain,
( multiply(commutator(X_330,X_331),X_329) != multiply(inverse(inverse(X_329)),multiply(commutator(X_330,X_331),commutator(X_330,commutator(X_331,X_329))))
| multiply(commutator(X_330,X_331),X_329) = multiply(X_329,multiply(commutator(X_330,X_331),commutator(X_330,commutator(X_331,X_329)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_329)),multiply(commutator(X_330,X_331),commutator(X_330,commutator(X_331,X_329)))),multiply(X_329,multiply(commutator(X_330,X_331),commutator(X_330,commutator(X_331,X_329))))) )],[refute_0_3151,refute_0_3152]) ).
cnf(refute_0_3154,plain,
multiply(commutator(X_330,X_331),X_329) = multiply(X_329,multiply(commutator(X_330,X_331),commutator(X_330,commutator(X_331,X_329)))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_330,X_331),X_329),multiply(inverse(inverse(X_329)),multiply(commutator(X_330,X_331),commutator(X_330,commutator(X_331,X_329))))) )],[refute_0_3146,refute_0_3153]) ).
cnf(refute_0_3155,plain,
( multiply(commutator(X_330,X_331),X_329) != multiply(X_329,multiply(commutator(X_330,X_331),commutator(X_330,commutator(X_331,X_329))))
| multiply(X_329,multiply(commutator(X_330,X_331),commutator(X_330,commutator(X_331,X_329)))) = multiply(commutator(X_330,X_331),X_329) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(commutator(X_330,X_331),X_329))),bind(Y0,$fot(multiply(X_329,multiply(commutator(X_330,X_331),commutator(X_330,commutator(X_331,X_329))))))]]) ).
cnf(refute_0_3156,plain,
multiply(X_329,multiply(commutator(X_330,X_331),commutator(X_330,commutator(X_331,X_329)))) = multiply(commutator(X_330,X_331),X_329),
inference(resolve,[$cnf( $equal(multiply(commutator(X_330,X_331),X_329),multiply(X_329,multiply(commutator(X_330,X_331),commutator(X_330,commutator(X_331,X_329))))) )],[refute_0_3154,refute_0_3155]) ).
cnf(refute_0_3157,plain,
multiply(X_384,multiply(commutator(X,Z),commutator(X,commutator(Z,X_384)))) = multiply(commutator(X,Z),X_384),
inference(subst,[],[refute_0_3156:[bind(X_329,$fot(X_384)),bind(X_330,$fot(X)),bind(X_331,$fot(Z))]]) ).
cnf(refute_0_3158,plain,
( multiply(X_384,multiply(commutator(X,Z),commutator(X,commutator(Z,X_384)))) != multiply(commutator(X,Z),X_384)
| multiply(commutator(Z,X),multiply(X_384,commutator(multiply(X,X),Z))) != multiply(X_384,multiply(commutator(X,Z),commutator(X,commutator(Z,X_384))))
| multiply(commutator(Z,X),multiply(X_384,commutator(multiply(X,X),Z))) = multiply(commutator(X,Z),X_384) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(Z,X),multiply(X_384,commutator(multiply(X,X),Z))),multiply(X_384,multiply(commutator(X,Z),commutator(X,commutator(Z,X_384))))) ),[1],$fot(multiply(commutator(X,Z),X_384))]]) ).
cnf(refute_0_3159,plain,
( multiply(commutator(Z,X),multiply(X_384,commutator(multiply(X,X),Z))) != multiply(X_384,multiply(commutator(X,Z),commutator(X,commutator(Z,X_384))))
| multiply(commutator(Z,X),multiply(X_384,commutator(multiply(X,X),Z))) = multiply(commutator(X,Z),X_384) ),
inference(resolve,[$cnf( $equal(multiply(X_384,multiply(commutator(X,Z),commutator(X,commutator(Z,X_384)))),multiply(commutator(X,Z),X_384)) )],[refute_0_3157,refute_0_3158]) ).
cnf(refute_0_3160,plain,
( multiply(inverse(commutator(X,Z)),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))) != multiply(X_384,multiply(commutator(X,Z),commutator(X,commutator(Z,X_384))))
| multiply(commutator(Z,X),multiply(X_384,commutator(multiply(X,X),Z))) = multiply(commutator(X,Z),X_384) ),
inference(resolve,[$cnf( $equal(multiply(commutator(Z,X),multiply(X_384,commutator(multiply(X,X),Z))),multiply(X_384,multiply(commutator(X,Z),commutator(X,commutator(Z,X_384))))) )],[refute_0_3141,refute_0_3159]) ).
cnf(refute_0_3161,plain,
multiply(commutator(Z,X),multiply(X_384,commutator(multiply(X,X),Z))) = multiply(commutator(X,Z),X_384),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X,Z)),multiply(X_384,multiply(commutator(X,Z),commutator(X,Z)))),multiply(X_384,multiply(commutator(X,Z),commutator(X,commutator(Z,X_384))))) )],[refute_0_3122,refute_0_3160]) ).
cnf(refute_0_3162,plain,
multiply(commutator(X_256,X_255),multiply(commutator(X_256,commutator(Y,X_255)),commutator(multiply(X_255,X_255),X_256))) = multiply(commutator(X_255,X_256),commutator(X_256,commutator(Y,X_255))),
inference(subst,[],[refute_0_3161:[bind(X,$fot(X_255)),bind(Z,$fot(X_256)),bind(X_384,$fot(commutator(X_256,commutator(Y,X_255))))]]) ).
cnf(refute_0_3163,plain,
multiply(commutator(X_255,X_256),commutator(X_255,X_256)) = commutator(multiply(X_255,X_255),X_256),
inference(subst,[],[refute_0_2686:[bind(X_325,$fot(X_256)),bind(X_90,$fot(X_255))]]) ).
cnf(refute_0_3164,plain,
multiply(commutator(X_256,commutator(Y,X_255)),multiply(commutator(X_255,X_256),commutator(X_255,X_256))) = multiply(commutator(X_256,commutator(Y,X_255)),multiply(commutator(X_255,X_256),commutator(X_255,X_256))),
introduced(tautology,[refl,[$fot(multiply(commutator(X_256,commutator(Y,X_255)),multiply(commutator(X_255,X_256),commutator(X_255,X_256))))]]) ).
cnf(refute_0_3165,plain,
( multiply(commutator(X_255,X_256),commutator(X_255,X_256)) != commutator(multiply(X_255,X_255),X_256)
| multiply(commutator(X_256,commutator(Y,X_255)),multiply(commutator(X_255,X_256),commutator(X_255,X_256))) != multiply(commutator(X_256,commutator(Y,X_255)),multiply(commutator(X_255,X_256),commutator(X_255,X_256)))
| multiply(commutator(X_256,commutator(Y,X_255)),multiply(commutator(X_255,X_256),commutator(X_255,X_256))) = multiply(commutator(X_256,commutator(Y,X_255)),commutator(multiply(X_255,X_255),X_256)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_256,commutator(Y,X_255)),multiply(commutator(X_255,X_256),commutator(X_255,X_256))),multiply(commutator(X_256,commutator(Y,X_255)),multiply(commutator(X_255,X_256),commutator(X_255,X_256)))) ),[1,1],$fot(commutator(multiply(X_255,X_255),X_256))]]) ).
cnf(refute_0_3166,plain,
( multiply(commutator(X_255,X_256),commutator(X_255,X_256)) != commutator(multiply(X_255,X_255),X_256)
| multiply(commutator(X_256,commutator(Y,X_255)),multiply(commutator(X_255,X_256),commutator(X_255,X_256))) = multiply(commutator(X_256,commutator(Y,X_255)),commutator(multiply(X_255,X_255),X_256)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_256,commutator(Y,X_255)),multiply(commutator(X_255,X_256),commutator(X_255,X_256))),multiply(commutator(X_256,commutator(Y,X_255)),multiply(commutator(X_255,X_256),commutator(X_255,X_256)))) )],[refute_0_3164,refute_0_3165]) ).
cnf(refute_0_3167,plain,
multiply(commutator(X_256,commutator(Y,X_255)),multiply(commutator(X_255,X_256),commutator(X_255,X_256))) = multiply(commutator(X_256,commutator(Y,X_255)),commutator(multiply(X_255,X_255),X_256)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,X_256),commutator(X_255,X_256)),commutator(multiply(X_255,X_255),X_256)) )],[refute_0_3163,refute_0_3166]) ).
cnf(refute_0_3168,plain,
inverse(commutator(X_255,commutator(X_256,Y))) = commutator(commutator(X_256,Y),X_255),
inference(subst,[],[refute_0_386:[bind(X,$fot(commutator(X_256,Y))),bind(Y,$fot(X_255))]]) ).
cnf(refute_0_3169,plain,
( commutator(commutator(X_256,Y),X_255) != commutator(X_256,commutator(Y,X_255))
| inverse(commutator(X_255,commutator(X_256,Y))) != commutator(commutator(X_256,Y),X_255)
| inverse(commutator(X_255,commutator(X_256,Y))) = commutator(X_256,commutator(Y,X_255)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(commutator(X_255,commutator(X_256,Y))))),bind(Y0,$fot(commutator(commutator(X_256,Y),X_255))),bind(Z0,$fot(commutator(X_256,commutator(Y,X_255))))]]) ).
cnf(refute_0_3170,plain,
( commutator(commutator(X_256,Y),X_255) != commutator(X_256,commutator(Y,X_255))
| inverse(commutator(X_255,commutator(X_256,Y))) = commutator(X_256,commutator(Y,X_255)) ),
inference(resolve,[$cnf( $equal(inverse(commutator(X_255,commutator(X_256,Y))),commutator(commutator(X_256,Y),X_255)) )],[refute_0_3168,refute_0_3169]) ).
cnf(refute_0_3171,plain,
inverse(commutator(X_255,commutator(X_256,Y))) = commutator(X_256,commutator(Y,X_255)),
inference(resolve,[$cnf( $equal(commutator(commutator(X_256,Y),X_255),commutator(X_256,commutator(Y,X_255))) )],[refute_0_3016,refute_0_3170]) ).
cnf(refute_0_3172,plain,
multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256))) = multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256))),
introduced(tautology,[refl,[$fot(multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256))))]]) ).
cnf(refute_0_3173,plain,
( multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256))) != multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256)))
| inverse(commutator(X_255,commutator(X_256,Y))) != commutator(X_256,commutator(Y,X_255))
| multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256))) = multiply(commutator(X_256,commutator(Y,X_255)),multiply(commutator(X_255,X_256),commutator(X_255,X_256))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256))),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256)))) ),[1,0],$fot(commutator(X_256,commutator(Y,X_255)))]]) ).
cnf(refute_0_3174,plain,
( inverse(commutator(X_255,commutator(X_256,Y))) != commutator(X_256,commutator(Y,X_255))
| multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256))) = multiply(commutator(X_256,commutator(Y,X_255)),multiply(commutator(X_255,X_256),commutator(X_255,X_256))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256))),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256)))) )],[refute_0_3172,refute_0_3173]) ).
cnf(refute_0_3175,plain,
multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256))) = multiply(commutator(X_256,commutator(Y,X_255)),multiply(commutator(X_255,X_256),commutator(X_255,X_256))),
inference(resolve,[$cnf( $equal(inverse(commutator(X_255,commutator(X_256,Y))),commutator(X_256,commutator(Y,X_255))) )],[refute_0_3171,refute_0_3174]) ).
cnf(refute_0_3176,plain,
( multiply(commutator(X_256,commutator(Y,X_255)),multiply(commutator(X_255,X_256),commutator(X_255,X_256))) != multiply(commutator(X_256,commutator(Y,X_255)),commutator(multiply(X_255,X_255),X_256))
| multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256))) != multiply(commutator(X_256,commutator(Y,X_255)),multiply(commutator(X_255,X_256),commutator(X_255,X_256)))
| multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256))) = multiply(commutator(X_256,commutator(Y,X_255)),commutator(multiply(X_255,X_255),X_256)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256))))),bind(Y0,$fot(multiply(commutator(X_256,commutator(Y,X_255)),multiply(commutator(X_255,X_256),commutator(X_255,X_256))))),bind(Z0,$fot(multiply(commutator(X_256,commutator(Y,X_255)),commutator(multiply(X_255,X_255),X_256))))]]) ).
cnf(refute_0_3177,plain,
( multiply(commutator(X_256,commutator(Y,X_255)),multiply(commutator(X_255,X_256),commutator(X_255,X_256))) != multiply(commutator(X_256,commutator(Y,X_255)),commutator(multiply(X_255,X_255),X_256))
| multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256))) = multiply(commutator(X_256,commutator(Y,X_255)),commutator(multiply(X_255,X_255),X_256)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256))),multiply(commutator(X_256,commutator(Y,X_255)),multiply(commutator(X_255,X_256),commutator(X_255,X_256)))) )],[refute_0_3175,refute_0_3176]) ).
cnf(refute_0_3178,plain,
multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256))) = multiply(commutator(X_256,commutator(Y,X_255)),commutator(multiply(X_255,X_255),X_256)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_256,commutator(Y,X_255)),multiply(commutator(X_255,X_256),commutator(X_255,X_256))),multiply(commutator(X_256,commutator(Y,X_255)),commutator(multiply(X_255,X_255),X_256))) )],[refute_0_3167,refute_0_3177]) ).
cnf(refute_0_3179,plain,
multiply(commutator(X_256,X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256)))) = multiply(commutator(X_256,X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256)))),
introduced(tautology,[refl,[$fot(multiply(commutator(X_256,X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256)))))]]) ).
cnf(refute_0_3180,plain,
( multiply(commutator(X_256,X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256)))) != multiply(commutator(X_256,X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256))))
| multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256))) != multiply(commutator(X_256,commutator(Y,X_255)),commutator(multiply(X_255,X_255),X_256))
| multiply(commutator(X_256,X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256)))) = multiply(commutator(X_256,X_255),multiply(commutator(X_256,commutator(Y,X_255)),commutator(multiply(X_255,X_255),X_256))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_256,X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256)))),multiply(commutator(X_256,X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256))))) ),[1,1],$fot(multiply(commutator(X_256,commutator(Y,X_255)),commutator(multiply(X_255,X_255),X_256)))]]) ).
cnf(refute_0_3181,plain,
( multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256))) != multiply(commutator(X_256,commutator(Y,X_255)),commutator(multiply(X_255,X_255),X_256))
| multiply(commutator(X_256,X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256)))) = multiply(commutator(X_256,X_255),multiply(commutator(X_256,commutator(Y,X_255)),commutator(multiply(X_255,X_255),X_256))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_256,X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256)))),multiply(commutator(X_256,X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256))))) )],[refute_0_3179,refute_0_3180]) ).
cnf(refute_0_3182,plain,
multiply(commutator(X_256,X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256)))) = multiply(commutator(X_256,X_255),multiply(commutator(X_256,commutator(Y,X_255)),commutator(multiply(X_255,X_255),X_256))),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256))),multiply(commutator(X_256,commutator(Y,X_255)),commutator(multiply(X_255,X_255),X_256))) )],[refute_0_3178,refute_0_3181]) ).
cnf(refute_0_3183,plain,
( multiply(commutator(X_256,X_255),multiply(commutator(X_256,commutator(Y,X_255)),commutator(multiply(X_255,X_255),X_256))) != multiply(commutator(X_255,X_256),commutator(X_256,commutator(Y,X_255)))
| multiply(commutator(X_256,X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256)))) != multiply(commutator(X_256,X_255),multiply(commutator(X_256,commutator(Y,X_255)),commutator(multiply(X_255,X_255),X_256)))
| multiply(commutator(X_256,X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256)))) = multiply(commutator(X_255,X_256),commutator(X_256,commutator(Y,X_255))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_256,X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256)))))),bind(Y0,$fot(multiply(commutator(X_256,X_255),multiply(commutator(X_256,commutator(Y,X_255)),commutator(multiply(X_255,X_255),X_256))))),bind(Z0,$fot(multiply(commutator(X_255,X_256),commutator(X_256,commutator(Y,X_255)))))]]) ).
cnf(refute_0_3184,plain,
( multiply(commutator(X_256,X_255),multiply(commutator(X_256,commutator(Y,X_255)),commutator(multiply(X_255,X_255),X_256))) != multiply(commutator(X_255,X_256),commutator(X_256,commutator(Y,X_255)))
| multiply(commutator(X_256,X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256)))) = multiply(commutator(X_255,X_256),commutator(X_256,commutator(Y,X_255))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_256,X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256)))),multiply(commutator(X_256,X_255),multiply(commutator(X_256,commutator(Y,X_255)),commutator(multiply(X_255,X_255),X_256)))) )],[refute_0_3182,refute_0_3183]) ).
cnf(refute_0_3185,plain,
multiply(commutator(X_256,X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256)))) = multiply(commutator(X_255,X_256),commutator(X_256,commutator(Y,X_255))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_256,X_255),multiply(commutator(X_256,commutator(Y,X_255)),commutator(multiply(X_255,X_255),X_256))),multiply(commutator(X_255,X_256),commutator(X_256,commutator(Y,X_255)))) )],[refute_0_3162,refute_0_3184]) ).
cnf(refute_0_3186,plain,
multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,X_256))),multiply(commutator(X_255,X_256),commutator(X_255,X_256))) = multiply(commutator(X_256,X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256)))),
inference(subst,[],[refute_0_666:[bind(X_366,$fot(multiply(commutator(X_255,X_256),commutator(X_255,X_256)))),bind(X_367,$fot(commutator(X_255,commutator(X_256,Y)))),bind(X_65,$fot(X_255)),bind(X_66,$fot(X_256))]]) ).
cnf(refute_0_3187,plain,
( multiply(commutator(X_256,X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256)))) != multiply(commutator(X_255,X_256),commutator(X_256,commutator(Y,X_255)))
| multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,X_256))),multiply(commutator(X_255,X_256),commutator(X_255,X_256))) != multiply(commutator(X_256,X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256))))
| multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,X_256))),multiply(commutator(X_255,X_256),commutator(X_255,X_256))) = multiply(commutator(X_255,X_256),commutator(X_256,commutator(Y,X_255))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,X_256))),multiply(commutator(X_255,X_256),commutator(X_255,X_256))))),bind(Y0,$fot(multiply(commutator(X_256,X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256)))))),bind(Z0,$fot(multiply(commutator(X_255,X_256),commutator(X_256,commutator(Y,X_255)))))]]) ).
cnf(refute_0_3188,plain,
( multiply(commutator(X_256,X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256)))) != multiply(commutator(X_255,X_256),commutator(X_256,commutator(Y,X_255)))
| multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,X_256))),multiply(commutator(X_255,X_256),commutator(X_255,X_256))) = multiply(commutator(X_255,X_256),commutator(X_256,commutator(Y,X_255))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,X_256))),multiply(commutator(X_255,X_256),commutator(X_255,X_256))),multiply(commutator(X_256,X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256))))) )],[refute_0_3186,refute_0_3187]) ).
cnf(refute_0_3189,plain,
multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,X_256))),multiply(commutator(X_255,X_256),commutator(X_255,X_256))) = multiply(commutator(X_255,X_256),commutator(X_256,commutator(Y,X_255))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_256,X_255),multiply(inverse(commutator(X_255,commutator(X_256,Y))),multiply(commutator(X_255,X_256),commutator(X_255,X_256)))),multiply(commutator(X_255,X_256),commutator(X_256,commutator(Y,X_255)))) )],[refute_0_3185,refute_0_3188]) ).
cnf(refute_0_3190,plain,
( multiply(commutator(X_256,commutator(Y,X_255)),commutator(X_255,X_256)) != multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,X_256))),multiply(commutator(X_255,X_256),commutator(X_255,X_256)))
| multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,X_256))),multiply(commutator(X_255,X_256),commutator(X_255,X_256))) != multiply(commutator(X_255,X_256),commutator(X_256,commutator(Y,X_255)))
| multiply(commutator(X_256,commutator(Y,X_255)),commutator(X_255,X_256)) = multiply(commutator(X_255,X_256),commutator(X_256,commutator(Y,X_255))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(commutator(X_256,commutator(Y,X_255)),commutator(X_255,X_256)),multiply(commutator(X_255,X_256),commutator(X_256,commutator(Y,X_255)))) ),[0],$fot(multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,X_256))),multiply(commutator(X_255,X_256),commutator(X_255,X_256))))]]) ).
cnf(refute_0_3191,plain,
( multiply(commutator(X_256,commutator(Y,X_255)),commutator(X_255,X_256)) != multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,X_256))),multiply(commutator(X_255,X_256),commutator(X_255,X_256)))
| multiply(commutator(X_256,commutator(Y,X_255)),commutator(X_255,X_256)) = multiply(commutator(X_255,X_256),commutator(X_256,commutator(Y,X_255))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,X_256))),multiply(commutator(X_255,X_256),commutator(X_255,X_256))),multiply(commutator(X_255,X_256),commutator(X_256,commutator(Y,X_255)))) )],[refute_0_3189,refute_0_3190]) ).
cnf(refute_0_3192,plain,
( multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,commutator(X_256,Y)))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))) != multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,X_256))),multiply(commutator(X_255,X_256),commutator(X_255,X_256)))
| multiply(commutator(X_256,commutator(Y,X_255)),commutator(X_255,X_256)) = multiply(commutator(X_255,X_256),commutator(X_256,commutator(Y,X_255))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_256,commutator(Y,X_255)),commutator(X_255,X_256)),multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,X_256))),multiply(commutator(X_255,X_256),commutator(X_255,X_256)))) )],[refute_0_3048,refute_0_3191]) ).
cnf(refute_0_3193,plain,
multiply(commutator(X_256,commutator(Y,X_255)),commutator(X_255,X_256)) = multiply(commutator(X_255,X_256),commutator(X_256,commutator(Y,X_255))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,commutator(X_256,Y)))),multiply(inverse(Y),multiply(commutator(X_255,X_256),Y))),multiply(inverse(multiply(commutator(X_255,commutator(X_256,Y)),commutator(X_255,X_256))),multiply(commutator(X_255,X_256),commutator(X_255,X_256)))) )],[refute_0_2977,refute_0_3192]) ).
cnf(refute_0_3194,plain,
multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283)) = multiply(commutator(X_282,X_283),commutator(X_283,commutator(Y,X_282))),
inference(subst,[],[refute_0_3193:[bind(X_255,$fot(X_282)),bind(X_256,$fot(X_283))]]) ).
cnf(refute_0_3195,plain,
inverse(multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283))) = inverse(multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283))),
introduced(tautology,[refl,[$fot(inverse(multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283))))]]) ).
cnf(refute_0_3196,plain,
( multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283)) != multiply(commutator(X_282,X_283),commutator(X_283,commutator(Y,X_282)))
| inverse(multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283))) != inverse(multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283)))
| inverse(multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283))) = inverse(multiply(commutator(X_282,X_283),commutator(X_283,commutator(Y,X_282)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283))),inverse(multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283)))) ),[1,0],$fot(multiply(commutator(X_282,X_283),commutator(X_283,commutator(Y,X_282))))]]) ).
cnf(refute_0_3197,plain,
( multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283)) != multiply(commutator(X_282,X_283),commutator(X_283,commutator(Y,X_282)))
| inverse(multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283))) = inverse(multiply(commutator(X_282,X_283),commutator(X_283,commutator(Y,X_282)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283))),inverse(multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283)))) )],[refute_0_3195,refute_0_3196]) ).
cnf(refute_0_3198,plain,
inverse(multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283))) = inverse(multiply(commutator(X_282,X_283),commutator(X_283,commutator(Y,X_282)))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283)),multiply(commutator(X_282,X_283),commutator(X_283,commutator(Y,X_282)))) )],[refute_0_3194,refute_0_3197]) ).
cnf(refute_0_3199,plain,
( multiply(commutator(X_282,commutator(X_283,Y)),commutator(X_283,X_282)) != inverse(multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283)))
| inverse(multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283))) != inverse(multiply(commutator(X_282,X_283),commutator(X_283,commutator(Y,X_282))))
| multiply(commutator(X_282,commutator(X_283,Y)),commutator(X_283,X_282)) = inverse(multiply(commutator(X_282,X_283),commutator(X_283,commutator(Y,X_282)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(commutator(X_282,commutator(X_283,Y)),commutator(X_283,X_282)),inverse(multiply(commutator(X_282,X_283),commutator(X_283,commutator(Y,X_282))))) ),[0],$fot(inverse(multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283))))]]) ).
cnf(refute_0_3200,plain,
( multiply(commutator(X_282,commutator(X_283,Y)),commutator(X_283,X_282)) != inverse(multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283)))
| multiply(commutator(X_282,commutator(X_283,Y)),commutator(X_283,X_282)) = inverse(multiply(commutator(X_282,X_283),commutator(X_283,commutator(Y,X_282)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283))),inverse(multiply(commutator(X_282,X_283),commutator(X_283,commutator(Y,X_282))))) )],[refute_0_3198,refute_0_3199]) ).
cnf(refute_0_3201,plain,
multiply(commutator(X_282,commutator(X_283,Y)),commutator(X_283,X_282)) = inverse(multiply(commutator(X_282,X_283),commutator(X_283,commutator(Y,X_282)))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_282,commutator(X_283,Y)),commutator(X_283,X_282)),inverse(multiply(commutator(X_283,commutator(Y,X_282)),commutator(X_282,X_283)))) )],[refute_0_2837,refute_0_3200]) ).
cnf(refute_0_3202,plain,
multiply(commutator(X_255,commutator(X_66,X_65)),commutator(X_65,X_66)) = multiply(inverse(multiply(commutator(X_66,X_65),X_255)),multiply(X_255,multiply(commutator(X_66,X_65),commutator(X_65,X_66)))),
inference(subst,[],[refute_0_246:[bind(X,$fot(X_255)),bind(Y,$fot(commutator(X_66,X_65))),bind(X_11,$fot(commutator(X_65,X_66)))]]) ).
cnf(refute_0_3203,plain,
( identity != multiply(commutator(X_66,X_65),commutator(X_65,X_66))
| multiply(commutator(X_66,X_65),commutator(X_65,X_66)) = identity ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(identity)),bind(Y0,$fot(multiply(commutator(X_66,X_65),commutator(X_65,X_66))))]]) ).
cnf(refute_0_3204,plain,
multiply(commutator(X_66,X_65),commutator(X_65,X_66)) = identity,
inference(resolve,[$cnf( $equal(identity,multiply(commutator(X_66,X_65),commutator(X_65,X_66))) )],[refute_0_1261,refute_0_3203]) ).
cnf(refute_0_3205,plain,
( multiply(commutator(X_255,commutator(X_66,X_65)),commutator(X_65,X_66)) != multiply(inverse(multiply(commutator(X_66,X_65),X_255)),multiply(X_255,multiply(commutator(X_66,X_65),commutator(X_65,X_66))))
| multiply(commutator(X_66,X_65),commutator(X_65,X_66)) != identity
| multiply(commutator(X_255,commutator(X_66,X_65)),commutator(X_65,X_66)) = multiply(inverse(multiply(commutator(X_66,X_65),X_255)),multiply(X_255,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_255,commutator(X_66,X_65)),commutator(X_65,X_66)),multiply(inverse(multiply(commutator(X_66,X_65),X_255)),multiply(X_255,multiply(commutator(X_66,X_65),commutator(X_65,X_66))))) ),[1,1,1],$fot(identity)]]) ).
cnf(refute_0_3206,plain,
( multiply(commutator(X_255,commutator(X_66,X_65)),commutator(X_65,X_66)) != multiply(inverse(multiply(commutator(X_66,X_65),X_255)),multiply(X_255,multiply(commutator(X_66,X_65),commutator(X_65,X_66))))
| multiply(commutator(X_255,commutator(X_66,X_65)),commutator(X_65,X_66)) = multiply(inverse(multiply(commutator(X_66,X_65),X_255)),multiply(X_255,identity)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_66,X_65),commutator(X_65,X_66)),identity) )],[refute_0_3204,refute_0_3205]) ).
cnf(refute_0_3207,plain,
multiply(commutator(X_255,commutator(X_66,X_65)),commutator(X_65,X_66)) = multiply(inverse(multiply(commutator(X_66,X_65),X_255)),multiply(X_255,identity)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,commutator(X_66,X_65)),commutator(X_65,X_66)),multiply(inverse(multiply(commutator(X_66,X_65),X_255)),multiply(X_255,multiply(commutator(X_66,X_65),commutator(X_65,X_66))))) )],[refute_0_3202,refute_0_3206]) ).
cnf(refute_0_3208,plain,
multiply(X_255,identity) = X_255,
inference(subst,[],[refute_0_100:[bind(X_16,$fot(X_255))]]) ).
cnf(refute_0_3209,plain,
multiply(inverse(multiply(commutator(X_66,X_65),X_255)),multiply(X_255,identity)) = multiply(inverse(multiply(commutator(X_66,X_65),X_255)),multiply(X_255,identity)),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(commutator(X_66,X_65),X_255)),multiply(X_255,identity)))]]) ).
cnf(refute_0_3210,plain,
( multiply(X_255,identity) != X_255
| multiply(inverse(multiply(commutator(X_66,X_65),X_255)),multiply(X_255,identity)) != multiply(inverse(multiply(commutator(X_66,X_65),X_255)),multiply(X_255,identity))
| multiply(inverse(multiply(commutator(X_66,X_65),X_255)),multiply(X_255,identity)) = multiply(inverse(multiply(commutator(X_66,X_65),X_255)),X_255) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(commutator(X_66,X_65),X_255)),multiply(X_255,identity)),multiply(inverse(multiply(commutator(X_66,X_65),X_255)),multiply(X_255,identity))) ),[1,1],$fot(X_255)]]) ).
cnf(refute_0_3211,plain,
( multiply(X_255,identity) != X_255
| multiply(inverse(multiply(commutator(X_66,X_65),X_255)),multiply(X_255,identity)) = multiply(inverse(multiply(commutator(X_66,X_65),X_255)),X_255) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(commutator(X_66,X_65),X_255)),multiply(X_255,identity)),multiply(inverse(multiply(commutator(X_66,X_65),X_255)),multiply(X_255,identity))) )],[refute_0_3209,refute_0_3210]) ).
cnf(refute_0_3212,plain,
multiply(inverse(multiply(commutator(X_66,X_65),X_255)),multiply(X_255,identity)) = multiply(inverse(multiply(commutator(X_66,X_65),X_255)),X_255),
inference(resolve,[$cnf( $equal(multiply(X_255,identity),X_255) )],[refute_0_3208,refute_0_3211]) ).
cnf(refute_0_3213,plain,
( multiply(commutator(X_255,commutator(X_66,X_65)),commutator(X_65,X_66)) != multiply(inverse(multiply(commutator(X_66,X_65),X_255)),multiply(X_255,identity))
| multiply(inverse(multiply(commutator(X_66,X_65),X_255)),multiply(X_255,identity)) != multiply(inverse(multiply(commutator(X_66,X_65),X_255)),X_255)
| multiply(commutator(X_255,commutator(X_66,X_65)),commutator(X_65,X_66)) = multiply(inverse(multiply(commutator(X_66,X_65),X_255)),X_255) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(commutator(X_255,commutator(X_66,X_65)),commutator(X_65,X_66)),multiply(inverse(multiply(commutator(X_66,X_65),X_255)),X_255)) ),[0],$fot(multiply(inverse(multiply(commutator(X_66,X_65),X_255)),multiply(X_255,identity)))]]) ).
cnf(refute_0_3214,plain,
( multiply(commutator(X_255,commutator(X_66,X_65)),commutator(X_65,X_66)) != multiply(inverse(multiply(commutator(X_66,X_65),X_255)),multiply(X_255,identity))
| multiply(commutator(X_255,commutator(X_66,X_65)),commutator(X_65,X_66)) = multiply(inverse(multiply(commutator(X_66,X_65),X_255)),X_255) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(commutator(X_66,X_65),X_255)),multiply(X_255,identity)),multiply(inverse(multiply(commutator(X_66,X_65),X_255)),X_255)) )],[refute_0_3212,refute_0_3213]) ).
cnf(refute_0_3215,plain,
multiply(commutator(X_255,commutator(X_66,X_65)),commutator(X_65,X_66)) = multiply(inverse(multiply(commutator(X_66,X_65),X_255)),X_255),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,commutator(X_66,X_65)),commutator(X_65,X_66)),multiply(inverse(multiply(commutator(X_66,X_65),X_255)),multiply(X_255,identity))) )],[refute_0_3207,refute_0_3214]) ).
cnf(refute_0_3216,plain,
multiply(commutator(multiply(X_128,commutator(X_128,commutator(X_334,X_333))),commutator(X_334,X_333)),commutator(X_333,X_334)) = multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_128,commutator(X_128,commutator(X_334,X_333))))),multiply(X_128,commutator(X_128,commutator(X_334,X_333)))),
inference(subst,[],[refute_0_3215:[bind(X_255,$fot(multiply(X_128,commutator(X_128,commutator(X_334,X_333))))),bind(X_65,$fot(X_333)),bind(X_66,$fot(X_334))]]) ).
cnf(refute_0_3217,plain,
commutator(multiply(X_128,commutator(X_128,commutator(X_334,X_333))),commutator(X_334,X_333)) = commutator(X_128,commutator(X_334,X_333)),
inference(subst,[],[refute_0_1592:[bind(X_127,$fot(commutator(X_334,X_333)))]]) ).
cnf(refute_0_3218,plain,
( multiply(commutator(multiply(X_128,commutator(X_128,commutator(X_334,X_333))),commutator(X_334,X_333)),commutator(X_333,X_334)) != multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_128,commutator(X_128,commutator(X_334,X_333))))),multiply(X_128,commutator(X_128,commutator(X_334,X_333))))
| commutator(multiply(X_128,commutator(X_128,commutator(X_334,X_333))),commutator(X_334,X_333)) != commutator(X_128,commutator(X_334,X_333))
| multiply(commutator(X_128,commutator(X_334,X_333)),commutator(X_333,X_334)) = multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_128,commutator(X_128,commutator(X_334,X_333))))),multiply(X_128,commutator(X_128,commutator(X_334,X_333)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(multiply(X_128,commutator(X_128,commutator(X_334,X_333))),commutator(X_334,X_333)),commutator(X_333,X_334)),multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_128,commutator(X_128,commutator(X_334,X_333))))),multiply(X_128,commutator(X_128,commutator(X_334,X_333))))) ),[0,0],$fot(commutator(X_128,commutator(X_334,X_333)))]]) ).
cnf(refute_0_3219,plain,
( multiply(commutator(multiply(X_128,commutator(X_128,commutator(X_334,X_333))),commutator(X_334,X_333)),commutator(X_333,X_334)) != multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_128,commutator(X_128,commutator(X_334,X_333))))),multiply(X_128,commutator(X_128,commutator(X_334,X_333))))
| multiply(commutator(X_128,commutator(X_334,X_333)),commutator(X_333,X_334)) = multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_128,commutator(X_128,commutator(X_334,X_333))))),multiply(X_128,commutator(X_128,commutator(X_334,X_333)))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_128,commutator(X_128,commutator(X_334,X_333))),commutator(X_334,X_333)),commutator(X_128,commutator(X_334,X_333))) )],[refute_0_3217,refute_0_3218]) ).
cnf(refute_0_3220,plain,
multiply(commutator(X_128,commutator(X_334,X_333)),commutator(X_333,X_334)) = multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_128,commutator(X_128,commutator(X_334,X_333))))),multiply(X_128,commutator(X_128,commutator(X_334,X_333)))),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_128,commutator(X_128,commutator(X_334,X_333))),commutator(X_334,X_333)),commutator(X_333,X_334)),multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_128,commutator(X_128,commutator(X_334,X_333))))),multiply(X_128,commutator(X_128,commutator(X_334,X_333))))) )],[refute_0_3216,refute_0_3219]) ).
cnf(refute_0_3221,plain,
commutator(multiply(X_162,X_161),inverse(multiply(multiply(X_162,X_161),X_10))) = multiply(inverse(multiply(inverse(multiply(multiply(X_162,X_161),X_10)),multiply(X_162,X_161))),multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))),
inference(subst,[],[refute_0_713:[bind(Y,$fot(inverse(multiply(multiply(X_162,X_161),X_10)))),bind(X_10,$fot(X_161)),bind(X_9,$fot(X_162))]]) ).
cnf(refute_0_3222,plain,
multiply(inverse(multiply(multiply(X_162,X_161),X_10)),multiply(X_162,X_161)) = inverse(X_10),
inference(subst,[],[refute_0_208:[bind(X_58,$fot(multiply(X_162,X_161)))]]) ).
cnf(refute_0_3223,plain,
( multiply(inverse(multiply(multiply(X_162,X_161),X_10)),multiply(X_162,X_161)) != inverse(X_10)
| commutator(multiply(X_162,X_161),inverse(multiply(multiply(X_162,X_161),X_10))) != multiply(inverse(multiply(inverse(multiply(multiply(X_162,X_161),X_10)),multiply(X_162,X_161))),multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10)))))
| commutator(multiply(X_162,X_161),inverse(multiply(multiply(X_162,X_161),X_10))) = multiply(inverse(inverse(X_10)),multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_162,X_161),inverse(multiply(multiply(X_162,X_161),X_10))),multiply(inverse(multiply(inverse(multiply(multiply(X_162,X_161),X_10)),multiply(X_162,X_161))),multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10)))))) ),[1,0,0],$fot(inverse(X_10))]]) ).
cnf(refute_0_3224,plain,
( commutator(multiply(X_162,X_161),inverse(multiply(multiply(X_162,X_161),X_10))) != multiply(inverse(multiply(inverse(multiply(multiply(X_162,X_161),X_10)),multiply(X_162,X_161))),multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10)))))
| commutator(multiply(X_162,X_161),inverse(multiply(multiply(X_162,X_161),X_10))) = multiply(inverse(inverse(X_10)),multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_162,X_161),X_10)),multiply(X_162,X_161)),inverse(X_10)) )],[refute_0_3222,refute_0_3223]) ).
cnf(refute_0_3225,plain,
commutator(multiply(X_162,X_161),inverse(multiply(multiply(X_162,X_161),X_10))) = multiply(inverse(inverse(X_10)),multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_162,X_161),inverse(multiply(multiply(X_162,X_161),X_10))),multiply(inverse(multiply(inverse(multiply(multiply(X_162,X_161),X_10)),multiply(X_162,X_161))),multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10)))))) )],[refute_0_3221,refute_0_3224]) ).
cnf(refute_0_3226,plain,
commutator(multiply(multiply(X_162,X_161),X_10),multiply(X_162,X_161)) = commutator(X_10,multiply(X_162,X_161)),
inference(subst,[],[refute_0_951:[bind(Y,$fot(multiply(X_162,X_161))),bind(X_86,$fot(X_10))]]) ).
cnf(refute_0_3227,plain,
commutator(multiply(X_162,X_161),inverse(multiply(multiply(X_162,X_161),X_10))) = commutator(multiply(multiply(X_162,X_161),X_10),multiply(X_162,X_161)),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(multiply(multiply(X_162,X_161),X_10))),bind(X_110,$fot(multiply(X_162,X_161)))]]) ).
cnf(refute_0_3228,plain,
( commutator(multiply(X_162,X_161),inverse(multiply(multiply(X_162,X_161),X_10))) != commutator(multiply(multiply(X_162,X_161),X_10),multiply(X_162,X_161))
| commutator(multiply(multiply(X_162,X_161),X_10),multiply(X_162,X_161)) != commutator(X_10,multiply(X_162,X_161))
| commutator(multiply(X_162,X_161),inverse(multiply(multiply(X_162,X_161),X_10))) = commutator(X_10,multiply(X_162,X_161)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_162,X_161),inverse(multiply(multiply(X_162,X_161),X_10))))),bind(Y0,$fot(commutator(multiply(multiply(X_162,X_161),X_10),multiply(X_162,X_161)))),bind(Z0,$fot(commutator(X_10,multiply(X_162,X_161))))]]) ).
cnf(refute_0_3229,plain,
( commutator(multiply(multiply(X_162,X_161),X_10),multiply(X_162,X_161)) != commutator(X_10,multiply(X_162,X_161))
| commutator(multiply(X_162,X_161),inverse(multiply(multiply(X_162,X_161),X_10))) = commutator(X_10,multiply(X_162,X_161)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_162,X_161),inverse(multiply(multiply(X_162,X_161),X_10))),commutator(multiply(multiply(X_162,X_161),X_10),multiply(X_162,X_161))) )],[refute_0_3227,refute_0_3228]) ).
cnf(refute_0_3230,plain,
commutator(multiply(X_162,X_161),inverse(multiply(multiply(X_162,X_161),X_10))) = commutator(X_10,multiply(X_162,X_161)),
inference(resolve,[$cnf( $equal(commutator(multiply(multiply(X_162,X_161),X_10),multiply(X_162,X_161)),commutator(X_10,multiply(X_162,X_161))) )],[refute_0_3226,refute_0_3229]) ).
cnf(refute_0_3231,plain,
( commutator(multiply(X_162,X_161),inverse(multiply(multiply(X_162,X_161),X_10))) != multiply(inverse(inverse(X_10)),multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10)))))
| commutator(multiply(X_162,X_161),inverse(multiply(multiply(X_162,X_161),X_10))) != commutator(X_10,multiply(X_162,X_161))
| commutator(X_10,multiply(X_162,X_161)) = multiply(inverse(inverse(X_10)),multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_162,X_161),inverse(multiply(multiply(X_162,X_161),X_10))),multiply(inverse(inverse(X_10)),multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10)))))) ),[0],$fot(commutator(X_10,multiply(X_162,X_161)))]]) ).
cnf(refute_0_3232,plain,
( commutator(multiply(X_162,X_161),inverse(multiply(multiply(X_162,X_161),X_10))) != multiply(inverse(inverse(X_10)),multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10)))))
| commutator(X_10,multiply(X_162,X_161)) = multiply(inverse(inverse(X_10)),multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_162,X_161),inverse(multiply(multiply(X_162,X_161),X_10))),commutator(X_10,multiply(X_162,X_161))) )],[refute_0_3230,refute_0_3231]) ).
cnf(refute_0_3233,plain,
multiply(multiply(X_162,X_161),X_10) = multiply(X_162,multiply(X_161,X_10)),
inference(subst,[],[associativity:[bind(X,$fot(X_162)),bind(Y,$fot(X_161)),bind(Z,$fot(X_10))]]) ).
cnf(refute_0_3234,plain,
inverse(multiply(multiply(X_162,X_161),X_10)) = inverse(multiply(multiply(X_162,X_161),X_10)),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_162,X_161),X_10)))]]) ).
cnf(refute_0_3235,plain,
( multiply(multiply(X_162,X_161),X_10) != multiply(X_162,multiply(X_161,X_10))
| inverse(multiply(multiply(X_162,X_161),X_10)) != inverse(multiply(multiply(X_162,X_161),X_10))
| inverse(multiply(multiply(X_162,X_161),X_10)) = inverse(multiply(X_162,multiply(X_161,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_162,X_161),X_10)),inverse(multiply(multiply(X_162,X_161),X_10))) ),[1,0],$fot(multiply(X_162,multiply(X_161,X_10)))]]) ).
cnf(refute_0_3236,plain,
( multiply(multiply(X_162,X_161),X_10) != multiply(X_162,multiply(X_161,X_10))
| inverse(multiply(multiply(X_162,X_161),X_10)) = inverse(multiply(X_162,multiply(X_161,X_10))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_162,X_161),X_10)),inverse(multiply(multiply(X_162,X_161),X_10))) )],[refute_0_3234,refute_0_3235]) ).
cnf(refute_0_3237,plain,
inverse(multiply(multiply(X_162,X_161),X_10)) = inverse(multiply(X_162,multiply(X_161,X_10))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_162,X_161),X_10),multiply(X_162,multiply(X_161,X_10))) )],[refute_0_3233,refute_0_3236]) ).
cnf(refute_0_3238,plain,
multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))) = multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))),
introduced(tautology,[refl,[$fot(multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))]]) ).
cnf(refute_0_3239,plain,
( multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))) != multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10)))
| inverse(multiply(multiply(X_162,X_161),X_10)) != inverse(multiply(X_162,multiply(X_161,X_10)))
| multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))) = multiply(X_161,inverse(multiply(X_162,multiply(X_161,X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))),multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10)))) ),[1,1],$fot(inverse(multiply(X_162,multiply(X_161,X_10))))]]) ).
cnf(refute_0_3240,plain,
( inverse(multiply(multiply(X_162,X_161),X_10)) != inverse(multiply(X_162,multiply(X_161,X_10)))
| multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))) = multiply(X_161,inverse(multiply(X_162,multiply(X_161,X_10)))) ),
inference(resolve,[$cnf( $equal(multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))),multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10)))) )],[refute_0_3238,refute_0_3239]) ).
cnf(refute_0_3241,plain,
multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))) = multiply(X_161,inverse(multiply(X_162,multiply(X_161,X_10)))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_162,X_161),X_10)),inverse(multiply(X_162,multiply(X_161,X_10)))) )],[refute_0_3237,refute_0_3240]) ).
cnf(refute_0_3242,plain,
multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10)))) = multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10)))),
introduced(tautology,[refl,[$fot(multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10)))))]]) ).
cnf(refute_0_3243,plain,
( multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))) != multiply(X_161,inverse(multiply(X_162,multiply(X_161,X_10))))
| multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10)))) != multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))
| multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10)))) = multiply(X_162,multiply(X_161,inverse(multiply(X_162,multiply(X_161,X_10))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10)))),multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))) ),[1,1],$fot(multiply(X_161,inverse(multiply(X_162,multiply(X_161,X_10)))))]]) ).
cnf(refute_0_3244,plain,
( multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))) != multiply(X_161,inverse(multiply(X_162,multiply(X_161,X_10))))
| multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10)))) = multiply(X_162,multiply(X_161,inverse(multiply(X_162,multiply(X_161,X_10))))) ),
inference(resolve,[$cnf( $equal(multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10)))),multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))) )],[refute_0_3242,refute_0_3243]) ).
cnf(refute_0_3245,plain,
multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10)))) = multiply(X_162,multiply(X_161,inverse(multiply(X_162,multiply(X_161,X_10))))),
inference(resolve,[$cnf( $equal(multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))),multiply(X_161,inverse(multiply(X_162,multiply(X_161,X_10))))) )],[refute_0_3241,refute_0_3244]) ).
cnf(refute_0_3246,plain,
multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))) = multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))),
introduced(tautology,[refl,[$fot(multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))))]]) ).
cnf(refute_0_3247,plain,
( multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))) != multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10)))))
| multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10)))) != multiply(X_162,multiply(X_161,inverse(multiply(X_162,multiply(X_161,X_10)))))
| multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))) = multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(X_162,multiply(X_161,X_10)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))),multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10)))))) ),[1,1],$fot(multiply(X_162,multiply(X_161,inverse(multiply(X_162,multiply(X_161,X_10))))))]]) ).
cnf(refute_0_3248,plain,
( multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10)))) != multiply(X_162,multiply(X_161,inverse(multiply(X_162,multiply(X_161,X_10)))))
| multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))) = multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(X_162,multiply(X_161,X_10)))))) ),
inference(resolve,[$cnf( $equal(multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))),multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10)))))) )],[refute_0_3246,refute_0_3247]) ).
cnf(refute_0_3249,plain,
multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))) = multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(X_162,multiply(X_161,X_10)))))),
inference(resolve,[$cnf( $equal(multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10)))),multiply(X_162,multiply(X_161,inverse(multiply(X_162,multiply(X_161,X_10)))))) )],[refute_0_3245,refute_0_3248]) ).
cnf(refute_0_3250,plain,
multiply(inverse(inverse(X_10)),multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))) = multiply(inverse(inverse(X_10)),multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_10)),multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))))]]) ).
cnf(refute_0_3251,plain,
( multiply(inverse(inverse(X_10)),multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))) != multiply(inverse(inverse(X_10)),multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10)))))
| inverse(inverse(X_10)) != X_10
| multiply(inverse(inverse(X_10)),multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))) = multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_10)),multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))),multiply(inverse(inverse(X_10)),multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10)))))) ),[1,0],$fot(X_10)]]) ).
cnf(refute_0_3252,plain,
( inverse(inverse(X_10)) != X_10
| multiply(inverse(inverse(X_10)),multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))) = multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_10)),multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))),multiply(inverse(inverse(X_10)),multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10)))))) )],[refute_0_3250,refute_0_3251]) ).
cnf(refute_0_3253,plain,
multiply(inverse(inverse(X_10)),multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))) = multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))),
inference(resolve,[$cnf( $equal(inverse(inverse(X_10)),X_10) )],[refute_0_441,refute_0_3252]) ).
cnf(refute_0_3254,plain,
( multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))) != multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(X_162,multiply(X_161,X_10))))))
| multiply(inverse(inverse(X_10)),multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))) != multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10)))))
| multiply(inverse(inverse(X_10)),multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))) = multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(X_162,multiply(X_161,X_10)))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(inverse(X_10)),multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))))),bind(Y0,$fot(multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))))),bind(Z0,$fot(multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(X_162,multiply(X_161,X_10))))))))]]) ).
cnf(refute_0_3255,plain,
( multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))) != multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(X_162,multiply(X_161,X_10))))))
| multiply(inverse(inverse(X_10)),multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))) = multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(X_162,multiply(X_161,X_10)))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_10)),multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))),multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10)))))) )],[refute_0_3253,refute_0_3254]) ).
cnf(refute_0_3256,plain,
multiply(inverse(inverse(X_10)),multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))) = multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(X_162,multiply(X_161,X_10)))))),
inference(resolve,[$cnf( $equal(multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))),multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(X_162,multiply(X_161,X_10))))))) )],[refute_0_3249,refute_0_3255]) ).
cnf(refute_0_3257,plain,
( multiply(inverse(inverse(X_10)),multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))) != multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(X_162,multiply(X_161,X_10))))))
| commutator(X_10,multiply(X_162,X_161)) != multiply(inverse(inverse(X_10)),multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10)))))
| commutator(X_10,multiply(X_162,X_161)) = multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(X_162,multiply(X_161,X_10)))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_10,multiply(X_162,X_161)),multiply(inverse(inverse(X_10)),multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10)))))) ),[1],$fot(multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(X_162,multiply(X_161,X_10)))))))]]) ).
cnf(refute_0_3258,plain,
( commutator(X_10,multiply(X_162,X_161)) != multiply(inverse(inverse(X_10)),multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10)))))
| commutator(X_10,multiply(X_162,X_161)) = multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(X_162,multiply(X_161,X_10)))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_10)),multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10))))),multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(X_162,multiply(X_161,X_10))))))) )],[refute_0_3256,refute_0_3257]) ).
cnf(refute_0_3259,plain,
( commutator(multiply(X_162,X_161),inverse(multiply(multiply(X_162,X_161),X_10))) != multiply(inverse(inverse(X_10)),multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10)))))
| commutator(X_10,multiply(X_162,X_161)) = multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(X_162,multiply(X_161,X_10)))))) ),
inference(resolve,[$cnf( $equal(commutator(X_10,multiply(X_162,X_161)),multiply(inverse(inverse(X_10)),multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10)))))) )],[refute_0_3232,refute_0_3258]) ).
cnf(refute_0_3260,plain,
commutator(X_10,multiply(X_162,X_161)) = multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(X_162,multiply(X_161,X_10)))))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_162,X_161),inverse(multiply(multiply(X_162,X_161),X_10))),multiply(inverse(inverse(X_10)),multiply(X_162,multiply(X_161,inverse(multiply(multiply(X_162,X_161),X_10)))))) )],[refute_0_3225,refute_0_3259]) ).
cnf(refute_0_3261,plain,
commutator(commutator(X_333,X_334),multiply(X_162,commutator(X_332,commutator(X_334,X_333)))) = multiply(commutator(X_333,X_334),multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),commutator(X_333,X_334))))))),
inference(subst,[],[refute_0_3260:[bind(X_10,$fot(commutator(X_333,X_334))),bind(X_161,$fot(commutator(X_332,commutator(X_334,X_333))))]]) ).
cnf(refute_0_3262,plain,
multiply(commutator(X_332,commutator(X_334,X_333)),commutator(X_333,X_334)) = multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332),
inference(subst,[],[refute_0_3215:[bind(X_255,$fot(X_332)),bind(X_65,$fot(X_333)),bind(X_66,$fot(X_334))]]) ).
cnf(refute_0_3263,plain,
( multiply(commutator(X_332,commutator(X_334,X_333)),commutator(X_333,X_334)) != multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)
| commutator(commutator(X_333,X_334),multiply(X_162,commutator(X_332,commutator(X_334,X_333)))) != multiply(commutator(X_333,X_334),multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),commutator(X_333,X_334)))))))
| commutator(commutator(X_333,X_334),multiply(X_162,commutator(X_332,commutator(X_334,X_333)))) = multiply(commutator(X_333,X_334),multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(X_333,X_334),multiply(X_162,commutator(X_332,commutator(X_334,X_333)))),multiply(commutator(X_333,X_334),multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),commutator(X_333,X_334)))))))) ),[1,1,1,1,0,1],$fot(multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332))]]) ).
cnf(refute_0_3264,plain,
( commutator(commutator(X_333,X_334),multiply(X_162,commutator(X_332,commutator(X_334,X_333)))) != multiply(commutator(X_333,X_334),multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),commutator(X_333,X_334)))))))
| commutator(commutator(X_333,X_334),multiply(X_162,commutator(X_332,commutator(X_334,X_333)))) = multiply(commutator(X_333,X_334),multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)))))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_332,commutator(X_334,X_333)),commutator(X_333,X_334)),multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)) )],[refute_0_3262,refute_0_3263]) ).
cnf(refute_0_3265,plain,
commutator(commutator(X_333,X_334),multiply(X_162,commutator(X_332,commutator(X_334,X_333)))) = multiply(commutator(X_333,X_334),multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)))))),
inference(resolve,[$cnf( $equal(commutator(commutator(X_333,X_334),multiply(X_162,commutator(X_332,commutator(X_334,X_333)))),multiply(commutator(X_333,X_334),multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),commutator(X_333,X_334)))))))) )],[refute_0_3261,refute_0_3264]) ).
cnf(refute_0_3266,plain,
commutator(commutator(X_333,X_334),multiply(X_162,commutator(X_332,commutator(X_334,X_333)))) = commutator(X_333,commutator(X_334,multiply(X_162,commutator(X_332,commutator(X_334,X_333))))),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(X_333)),bind(Y,$fot(X_334)),bind(Z,$fot(multiply(X_162,commutator(X_332,commutator(X_334,X_333)))))]]) ).
cnf(refute_0_3267,plain,
( commutator(commutator(X_333,X_334),multiply(X_162,commutator(X_332,commutator(X_334,X_333)))) != multiply(commutator(X_333,X_334),multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332))))))
| commutator(commutator(X_333,X_334),multiply(X_162,commutator(X_332,commutator(X_334,X_333)))) != commutator(X_333,commutator(X_334,multiply(X_162,commutator(X_332,commutator(X_334,X_333)))))
| commutator(X_333,commutator(X_334,multiply(X_162,commutator(X_332,commutator(X_334,X_333))))) = multiply(commutator(X_333,X_334),multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(X_333,X_334),multiply(X_162,commutator(X_332,commutator(X_334,X_333)))),multiply(commutator(X_333,X_334),multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332))))))) ),[0],$fot(commutator(X_333,commutator(X_334,multiply(X_162,commutator(X_332,commutator(X_334,X_333))))))]]) ).
cnf(refute_0_3268,plain,
( commutator(commutator(X_333,X_334),multiply(X_162,commutator(X_332,commutator(X_334,X_333)))) != multiply(commutator(X_333,X_334),multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332))))))
| commutator(X_333,commutator(X_334,multiply(X_162,commutator(X_332,commutator(X_334,X_333))))) = multiply(commutator(X_333,X_334),multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)))))) ),
inference(resolve,[$cnf( $equal(commutator(commutator(X_333,X_334),multiply(X_162,commutator(X_332,commutator(X_334,X_333)))),commutator(X_333,commutator(X_334,multiply(X_162,commutator(X_332,commutator(X_334,X_333)))))) )],[refute_0_3266,refute_0_3267]) ).
cnf(refute_0_3269,plain,
commutator(commutator(X_333,X_334),X_162) = commutator(X_333,commutator(X_334,X_162)),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(X_333)),bind(Y,$fot(X_334)),bind(Z,$fot(X_162))]]) ).
cnf(refute_0_3270,plain,
multiply(commutator(X_333,X_334),multiply(X_162,inverse(multiply(X_162,commutator(X_333,X_334))))) = commutator(commutator(X_333,X_334),X_162),
inference(subst,[],[refute_0_1319:[bind(X_27,$fot(X_162)),bind(X_41,$fot(commutator(X_333,X_334)))]]) ).
cnf(refute_0_3271,plain,
( multiply(commutator(X_333,X_334),multiply(X_162,inverse(multiply(X_162,commutator(X_333,X_334))))) != commutator(commutator(X_333,X_334),X_162)
| commutator(commutator(X_333,X_334),X_162) != commutator(X_333,commutator(X_334,X_162))
| multiply(commutator(X_333,X_334),multiply(X_162,inverse(multiply(X_162,commutator(X_333,X_334))))) = commutator(X_333,commutator(X_334,X_162)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_333,X_334),multiply(X_162,inverse(multiply(X_162,commutator(X_333,X_334))))))),bind(Y0,$fot(commutator(commutator(X_333,X_334),X_162))),bind(Z0,$fot(commutator(X_333,commutator(X_334,X_162))))]]) ).
cnf(refute_0_3272,plain,
( commutator(commutator(X_333,X_334),X_162) != commutator(X_333,commutator(X_334,X_162))
| multiply(commutator(X_333,X_334),multiply(X_162,inverse(multiply(X_162,commutator(X_333,X_334))))) = commutator(X_333,commutator(X_334,X_162)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_333,X_334),multiply(X_162,inverse(multiply(X_162,commutator(X_333,X_334))))),commutator(commutator(X_333,X_334),X_162)) )],[refute_0_3270,refute_0_3271]) ).
cnf(refute_0_3273,plain,
multiply(commutator(X_333,X_334),multiply(X_162,inverse(multiply(X_162,commutator(X_333,X_334))))) = commutator(X_333,commutator(X_334,X_162)),
inference(resolve,[$cnf( $equal(commutator(commutator(X_333,X_334),X_162),commutator(X_333,commutator(X_334,X_162))) )],[refute_0_3269,refute_0_3272]) ).
cnf(refute_0_3274,plain,
inverse(commutator(X_334,X_333)) = commutator(X_333,X_334),
inference(subst,[],[refute_0_386:[bind(X,$fot(X_333)),bind(Y,$fot(X_334))]]) ).
cnf(refute_0_3275,plain,
multiply(X_332,inverse(multiply(commutator(X_334,X_333),X_332))) = inverse(commutator(X_334,X_333)),
inference(subst,[],[refute_0_176:[bind(X_10,$fot(commutator(X_334,X_333))),bind(X_57,$fot(X_332))]]) ).
cnf(refute_0_3276,plain,
( multiply(X_332,inverse(multiply(commutator(X_334,X_333),X_332))) != inverse(commutator(X_334,X_333))
| inverse(commutator(X_334,X_333)) != commutator(X_333,X_334)
| multiply(X_332,inverse(multiply(commutator(X_334,X_333),X_332))) = commutator(X_333,X_334) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_332,inverse(multiply(commutator(X_334,X_333),X_332))))),bind(Y0,$fot(inverse(commutator(X_334,X_333)))),bind(Z0,$fot(commutator(X_333,X_334)))]]) ).
cnf(refute_0_3277,plain,
( inverse(commutator(X_334,X_333)) != commutator(X_333,X_334)
| multiply(X_332,inverse(multiply(commutator(X_334,X_333),X_332))) = commutator(X_333,X_334) ),
inference(resolve,[$cnf( $equal(multiply(X_332,inverse(multiply(commutator(X_334,X_333),X_332))),inverse(commutator(X_334,X_333))) )],[refute_0_3275,refute_0_3276]) ).
cnf(refute_0_3278,plain,
multiply(X_332,inverse(multiply(commutator(X_334,X_333),X_332))) = commutator(X_333,X_334),
inference(resolve,[$cnf( $equal(inverse(commutator(X_334,X_333)),commutator(X_333,X_334)) )],[refute_0_3274,refute_0_3277]) ).
cnf(refute_0_3279,plain,
multiply(X_332,multiply(commutator(X_334,X_333),commutator(commutator(X_334,X_333),X_332))) = multiply(commutator(X_334,X_333),X_332),
inference(subst,[],[refute_0_2600:[bind(X,$fot(commutator(X_334,X_333))),bind(Y,$fot(X_332))]]) ).
cnf(refute_0_3280,plain,
multiply(multiply(X_332,commutator(X_334,X_333)),commutator(commutator(X_334,X_333),X_332)) = multiply(X_332,multiply(commutator(X_334,X_333),commutator(commutator(X_334,X_333),X_332))),
inference(subst,[],[associativity:[bind(X,$fot(X_332)),bind(Y,$fot(commutator(X_334,X_333))),bind(Z,$fot(commutator(commutator(X_334,X_333),X_332)))]]) ).
cnf(refute_0_3281,plain,
( multiply(X_332,multiply(commutator(X_334,X_333),commutator(commutator(X_334,X_333),X_332))) != multiply(commutator(X_334,X_333),X_332)
| multiply(multiply(X_332,commutator(X_334,X_333)),commutator(commutator(X_334,X_333),X_332)) != multiply(X_332,multiply(commutator(X_334,X_333),commutator(commutator(X_334,X_333),X_332)))
| multiply(multiply(X_332,commutator(X_334,X_333)),commutator(commutator(X_334,X_333),X_332)) = multiply(commutator(X_334,X_333),X_332) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_332,commutator(X_334,X_333)),commutator(commutator(X_334,X_333),X_332)))),bind(Y0,$fot(multiply(X_332,multiply(commutator(X_334,X_333),commutator(commutator(X_334,X_333),X_332))))),bind(Z0,$fot(multiply(commutator(X_334,X_333),X_332)))]]) ).
cnf(refute_0_3282,plain,
( multiply(X_332,multiply(commutator(X_334,X_333),commutator(commutator(X_334,X_333),X_332))) != multiply(commutator(X_334,X_333),X_332)
| multiply(multiply(X_332,commutator(X_334,X_333)),commutator(commutator(X_334,X_333),X_332)) = multiply(commutator(X_334,X_333),X_332) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_332,commutator(X_334,X_333)),commutator(commutator(X_334,X_333),X_332)),multiply(X_332,multiply(commutator(X_334,X_333),commutator(commutator(X_334,X_333),X_332)))) )],[refute_0_3280,refute_0_3281]) ).
cnf(refute_0_3283,plain,
multiply(multiply(X_332,commutator(X_334,X_333)),commutator(commutator(X_334,X_333),X_332)) = multiply(commutator(X_334,X_333),X_332),
inference(resolve,[$cnf( $equal(multiply(X_332,multiply(commutator(X_334,X_333),commutator(commutator(X_334,X_333),X_332))),multiply(commutator(X_334,X_333),X_332)) )],[refute_0_3279,refute_0_3282]) ).
cnf(refute_0_3284,plain,
inverse(multiply(multiply(X_332,commutator(X_334,X_333)),commutator(commutator(X_334,X_333),X_332))) = inverse(multiply(multiply(X_332,commutator(X_334,X_333)),commutator(commutator(X_334,X_333),X_332))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_332,commutator(X_334,X_333)),commutator(commutator(X_334,X_333),X_332))))]]) ).
cnf(refute_0_3285,plain,
( multiply(multiply(X_332,commutator(X_334,X_333)),commutator(commutator(X_334,X_333),X_332)) != multiply(commutator(X_334,X_333),X_332)
| inverse(multiply(multiply(X_332,commutator(X_334,X_333)),commutator(commutator(X_334,X_333),X_332))) != inverse(multiply(multiply(X_332,commutator(X_334,X_333)),commutator(commutator(X_334,X_333),X_332)))
| inverse(multiply(multiply(X_332,commutator(X_334,X_333)),commutator(commutator(X_334,X_333),X_332))) = inverse(multiply(commutator(X_334,X_333),X_332)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_332,commutator(X_334,X_333)),commutator(commutator(X_334,X_333),X_332))),inverse(multiply(multiply(X_332,commutator(X_334,X_333)),commutator(commutator(X_334,X_333),X_332)))) ),[1,0],$fot(multiply(commutator(X_334,X_333),X_332))]]) ).
cnf(refute_0_3286,plain,
( multiply(multiply(X_332,commutator(X_334,X_333)),commutator(commutator(X_334,X_333),X_332)) != multiply(commutator(X_334,X_333),X_332)
| inverse(multiply(multiply(X_332,commutator(X_334,X_333)),commutator(commutator(X_334,X_333),X_332))) = inverse(multiply(commutator(X_334,X_333),X_332)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_332,commutator(X_334,X_333)),commutator(commutator(X_334,X_333),X_332))),inverse(multiply(multiply(X_332,commutator(X_334,X_333)),commutator(commutator(X_334,X_333),X_332)))) )],[refute_0_3284,refute_0_3285]) ).
cnf(refute_0_3287,plain,
inverse(multiply(multiply(X_332,commutator(X_334,X_333)),commutator(commutator(X_334,X_333),X_332))) = inverse(multiply(commutator(X_334,X_333),X_332)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_332,commutator(X_334,X_333)),commutator(commutator(X_334,X_333),X_332)),multiply(commutator(X_334,X_333),X_332)) )],[refute_0_3283,refute_0_3286]) ).
cnf(refute_0_3288,plain,
multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333)))) = inverse(multiply(multiply(X_332,commutator(X_334,X_333)),commutator(commutator(X_334,X_333),X_332))),
inference(subst,[],[refute_0_378:[bind(X_58,$fot(multiply(X_332,commutator(X_334,X_333)))),bind(X_65,$fot(X_332)),bind(X_66,$fot(commutator(X_334,X_333)))]]) ).
cnf(refute_0_3289,plain,
( multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333)))) != inverse(multiply(multiply(X_332,commutator(X_334,X_333)),commutator(commutator(X_334,X_333),X_332)))
| inverse(multiply(multiply(X_332,commutator(X_334,X_333)),commutator(commutator(X_334,X_333),X_332))) != inverse(multiply(commutator(X_334,X_333),X_332))
| multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333)))) = inverse(multiply(commutator(X_334,X_333),X_332)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333)))))),bind(Y0,$fot(inverse(multiply(multiply(X_332,commutator(X_334,X_333)),commutator(commutator(X_334,X_333),X_332))))),bind(Z0,$fot(inverse(multiply(commutator(X_334,X_333),X_332))))]]) ).
cnf(refute_0_3290,plain,
( inverse(multiply(multiply(X_332,commutator(X_334,X_333)),commutator(commutator(X_334,X_333),X_332))) != inverse(multiply(commutator(X_334,X_333),X_332))
| multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333)))) = inverse(multiply(commutator(X_334,X_333),X_332)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333)))),inverse(multiply(multiply(X_332,commutator(X_334,X_333)),commutator(commutator(X_334,X_333),X_332)))) )],[refute_0_3288,refute_0_3289]) ).
cnf(refute_0_3291,plain,
multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333)))) = inverse(multiply(commutator(X_334,X_333),X_332)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_332,commutator(X_334,X_333)),commutator(commutator(X_334,X_333),X_332))),inverse(multiply(commutator(X_334,X_333),X_332))) )],[refute_0_3287,refute_0_3290]) ).
cnf(refute_0_3292,plain,
multiply(X_332,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333))))) = multiply(X_332,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333))))),
introduced(tautology,[refl,[$fot(multiply(X_332,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333))))))]]) ).
cnf(refute_0_3293,plain,
( multiply(X_332,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333))))) != multiply(X_332,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333)))))
| multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333)))) != inverse(multiply(commutator(X_334,X_333),X_332))
| multiply(X_332,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333))))) = multiply(X_332,inverse(multiply(commutator(X_334,X_333),X_332))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_332,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333))))),multiply(X_332,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333)))))) ),[1,1],$fot(inverse(multiply(commutator(X_334,X_333),X_332)))]]) ).
cnf(refute_0_3294,plain,
( multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333)))) != inverse(multiply(commutator(X_334,X_333),X_332))
| multiply(X_332,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333))))) = multiply(X_332,inverse(multiply(commutator(X_334,X_333),X_332))) ),
inference(resolve,[$cnf( $equal(multiply(X_332,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333))))),multiply(X_332,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333)))))) )],[refute_0_3292,refute_0_3293]) ).
cnf(refute_0_3295,plain,
multiply(X_332,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333))))) = multiply(X_332,inverse(multiply(commutator(X_334,X_333),X_332))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333)))),inverse(multiply(commutator(X_334,X_333),X_332))) )],[refute_0_3291,refute_0_3294]) ).
cnf(refute_0_3296,plain,
( multiply(X_332,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333))))) != multiply(X_332,inverse(multiply(commutator(X_334,X_333),X_332)))
| multiply(X_332,inverse(multiply(commutator(X_334,X_333),X_332))) != commutator(X_333,X_334)
| multiply(X_332,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333))))) = commutator(X_333,X_334) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_332,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333))))))),bind(Y0,$fot(multiply(X_332,inverse(multiply(commutator(X_334,X_333),X_332))))),bind(Z0,$fot(commutator(X_333,X_334)))]]) ).
cnf(refute_0_3297,plain,
( multiply(X_332,inverse(multiply(commutator(X_334,X_333),X_332))) != commutator(X_333,X_334)
| multiply(X_332,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333))))) = commutator(X_333,X_334) ),
inference(resolve,[$cnf( $equal(multiply(X_332,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333))))),multiply(X_332,inverse(multiply(commutator(X_334,X_333),X_332)))) )],[refute_0_3295,refute_0_3296]) ).
cnf(refute_0_3298,plain,
multiply(X_332,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333))))) = commutator(X_333,X_334),
inference(resolve,[$cnf( $equal(multiply(X_332,inverse(multiply(commutator(X_334,X_333),X_332))),commutator(X_333,X_334)) )],[refute_0_3278,refute_0_3297]) ).
cnf(refute_0_3299,plain,
multiply(inverse(inverse(multiply(X_236,commutator(X_236,Y)))),X_235) = multiply(inverse(multiply(X_236,inverse(multiply(X_236,commutator(X_236,Y))))),multiply(X_236,X_235)),
inference(subst,[],[refute_0_677:[bind(Z,$fot(X_235)),bind(X_50,$fot(X_236)),bind(X_51,$fot(inverse(multiply(X_236,commutator(X_236,Y)))))]]) ).
cnf(refute_0_3300,plain,
commutator(Y,X_236) = multiply(X_236,inverse(multiply(X_236,commutator(X_236,Y)))),
inference(subst,[],[refute_0_1923:[bind(X_136,$fot(X_236))]]) ).
cnf(refute_0_3301,plain,
( commutator(Y,X_236) != multiply(X_236,inverse(multiply(X_236,commutator(X_236,Y))))
| multiply(X_236,inverse(multiply(X_236,commutator(X_236,Y)))) = commutator(Y,X_236) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(Y,X_236))),bind(Y0,$fot(multiply(X_236,inverse(multiply(X_236,commutator(X_236,Y))))))]]) ).
cnf(refute_0_3302,plain,
multiply(X_236,inverse(multiply(X_236,commutator(X_236,Y)))) = commutator(Y,X_236),
inference(resolve,[$cnf( $equal(commutator(Y,X_236),multiply(X_236,inverse(multiply(X_236,commutator(X_236,Y))))) )],[refute_0_3300,refute_0_3301]) ).
cnf(refute_0_3303,plain,
( multiply(X_236,inverse(multiply(X_236,commutator(X_236,Y)))) != commutator(Y,X_236)
| multiply(inverse(inverse(multiply(X_236,commutator(X_236,Y)))),X_235) != multiply(inverse(multiply(X_236,inverse(multiply(X_236,commutator(X_236,Y))))),multiply(X_236,X_235))
| multiply(inverse(inverse(multiply(X_236,commutator(X_236,Y)))),X_235) = multiply(inverse(commutator(Y,X_236)),multiply(X_236,X_235)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(multiply(X_236,commutator(X_236,Y)))),X_235),multiply(inverse(multiply(X_236,inverse(multiply(X_236,commutator(X_236,Y))))),multiply(X_236,X_235))) ),[1,0,0],$fot(commutator(Y,X_236))]]) ).
cnf(refute_0_3304,plain,
( multiply(inverse(inverse(multiply(X_236,commutator(X_236,Y)))),X_235) != multiply(inverse(multiply(X_236,inverse(multiply(X_236,commutator(X_236,Y))))),multiply(X_236,X_235))
| multiply(inverse(inverse(multiply(X_236,commutator(X_236,Y)))),X_235) = multiply(inverse(commutator(Y,X_236)),multiply(X_236,X_235)) ),
inference(resolve,[$cnf( $equal(multiply(X_236,inverse(multiply(X_236,commutator(X_236,Y)))),commutator(Y,X_236)) )],[refute_0_3302,refute_0_3303]) ).
cnf(refute_0_3305,plain,
multiply(inverse(inverse(multiply(X_236,commutator(X_236,Y)))),X_235) = multiply(inverse(commutator(Y,X_236)),multiply(X_236,X_235)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_236,commutator(X_236,Y)))),X_235),multiply(inverse(multiply(X_236,inverse(multiply(X_236,commutator(X_236,Y))))),multiply(X_236,X_235))) )],[refute_0_3299,refute_0_3304]) ).
cnf(refute_0_3306,plain,
multiply(multiply(X_236,commutator(X_236,Y)),X_235) = multiply(X_236,multiply(commutator(X_236,Y),X_235)),
inference(subst,[],[associativity:[bind(X,$fot(X_236)),bind(Y,$fot(commutator(X_236,Y))),bind(Z,$fot(X_235))]]) ).
cnf(refute_0_3307,plain,
inverse(inverse(multiply(X_236,commutator(X_236,Y)))) = multiply(X_236,commutator(X_236,Y)),
inference(subst,[],[refute_0_152:[bind(X_27,$fot(multiply(X_236,commutator(X_236,Y))))]]) ).
cnf(refute_0_3308,plain,
multiply(inverse(inverse(multiply(X_236,commutator(X_236,Y)))),X_235) = multiply(inverse(inverse(multiply(X_236,commutator(X_236,Y)))),X_235),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(multiply(X_236,commutator(X_236,Y)))),X_235))]]) ).
cnf(refute_0_3309,plain,
( multiply(inverse(inverse(multiply(X_236,commutator(X_236,Y)))),X_235) != multiply(inverse(inverse(multiply(X_236,commutator(X_236,Y)))),X_235)
| inverse(inverse(multiply(X_236,commutator(X_236,Y)))) != multiply(X_236,commutator(X_236,Y))
| multiply(inverse(inverse(multiply(X_236,commutator(X_236,Y)))),X_235) = multiply(multiply(X_236,commutator(X_236,Y)),X_235) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(multiply(X_236,commutator(X_236,Y)))),X_235),multiply(inverse(inverse(multiply(X_236,commutator(X_236,Y)))),X_235)) ),[1,0],$fot(multiply(X_236,commutator(X_236,Y)))]]) ).
cnf(refute_0_3310,plain,
( inverse(inverse(multiply(X_236,commutator(X_236,Y)))) != multiply(X_236,commutator(X_236,Y))
| multiply(inverse(inverse(multiply(X_236,commutator(X_236,Y)))),X_235) = multiply(multiply(X_236,commutator(X_236,Y)),X_235) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_236,commutator(X_236,Y)))),X_235),multiply(inverse(inverse(multiply(X_236,commutator(X_236,Y)))),X_235)) )],[refute_0_3308,refute_0_3309]) ).
cnf(refute_0_3311,plain,
multiply(inverse(inverse(multiply(X_236,commutator(X_236,Y)))),X_235) = multiply(multiply(X_236,commutator(X_236,Y)),X_235),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_236,commutator(X_236,Y)))),multiply(X_236,commutator(X_236,Y))) )],[refute_0_3307,refute_0_3310]) ).
cnf(refute_0_3312,plain,
( multiply(multiply(X_236,commutator(X_236,Y)),X_235) != multiply(X_236,multiply(commutator(X_236,Y),X_235))
| multiply(inverse(inverse(multiply(X_236,commutator(X_236,Y)))),X_235) != multiply(multiply(X_236,commutator(X_236,Y)),X_235)
| multiply(inverse(inverse(multiply(X_236,commutator(X_236,Y)))),X_235) = multiply(X_236,multiply(commutator(X_236,Y),X_235)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(inverse(multiply(X_236,commutator(X_236,Y)))),X_235))),bind(Y0,$fot(multiply(multiply(X_236,commutator(X_236,Y)),X_235))),bind(Z0,$fot(multiply(X_236,multiply(commutator(X_236,Y),X_235))))]]) ).
cnf(refute_0_3313,plain,
( multiply(multiply(X_236,commutator(X_236,Y)),X_235) != multiply(X_236,multiply(commutator(X_236,Y),X_235))
| multiply(inverse(inverse(multiply(X_236,commutator(X_236,Y)))),X_235) = multiply(X_236,multiply(commutator(X_236,Y),X_235)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_236,commutator(X_236,Y)))),X_235),multiply(multiply(X_236,commutator(X_236,Y)),X_235)) )],[refute_0_3311,refute_0_3312]) ).
cnf(refute_0_3314,plain,
multiply(inverse(inverse(multiply(X_236,commutator(X_236,Y)))),X_235) = multiply(X_236,multiply(commutator(X_236,Y),X_235)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_236,commutator(X_236,Y)),X_235),multiply(X_236,multiply(commutator(X_236,Y),X_235))) )],[refute_0_3306,refute_0_3313]) ).
cnf(refute_0_3315,plain,
( multiply(inverse(inverse(multiply(X_236,commutator(X_236,Y)))),X_235) != multiply(X_236,multiply(commutator(X_236,Y),X_235))
| multiply(inverse(inverse(multiply(X_236,commutator(X_236,Y)))),X_235) != multiply(inverse(commutator(Y,X_236)),multiply(X_236,X_235))
| multiply(X_236,multiply(commutator(X_236,Y),X_235)) = multiply(inverse(commutator(Y,X_236)),multiply(X_236,X_235)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(multiply(X_236,commutator(X_236,Y)))),X_235),multiply(inverse(commutator(Y,X_236)),multiply(X_236,X_235))) ),[0],$fot(multiply(X_236,multiply(commutator(X_236,Y),X_235)))]]) ).
cnf(refute_0_3316,plain,
( multiply(inverse(inverse(multiply(X_236,commutator(X_236,Y)))),X_235) != multiply(inverse(commutator(Y,X_236)),multiply(X_236,X_235))
| multiply(X_236,multiply(commutator(X_236,Y),X_235)) = multiply(inverse(commutator(Y,X_236)),multiply(X_236,X_235)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_236,commutator(X_236,Y)))),X_235),multiply(X_236,multiply(commutator(X_236,Y),X_235))) )],[refute_0_3314,refute_0_3315]) ).
cnf(refute_0_3317,plain,
inverse(commutator(Y,X_236)) = commutator(X_236,Y),
inference(subst,[],[refute_0_386:[bind(X,$fot(X_236))]]) ).
cnf(refute_0_3318,plain,
multiply(inverse(commutator(Y,X_236)),multiply(X_236,X_235)) = multiply(inverse(commutator(Y,X_236)),multiply(X_236,X_235)),
introduced(tautology,[refl,[$fot(multiply(inverse(commutator(Y,X_236)),multiply(X_236,X_235)))]]) ).
cnf(refute_0_3319,plain,
( multiply(inverse(commutator(Y,X_236)),multiply(X_236,X_235)) != multiply(inverse(commutator(Y,X_236)),multiply(X_236,X_235))
| inverse(commutator(Y,X_236)) != commutator(X_236,Y)
| multiply(inverse(commutator(Y,X_236)),multiply(X_236,X_235)) = multiply(commutator(X_236,Y),multiply(X_236,X_235)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(commutator(Y,X_236)),multiply(X_236,X_235)),multiply(inverse(commutator(Y,X_236)),multiply(X_236,X_235))) ),[1,0],$fot(commutator(X_236,Y))]]) ).
cnf(refute_0_3320,plain,
( inverse(commutator(Y,X_236)) != commutator(X_236,Y)
| multiply(inverse(commutator(Y,X_236)),multiply(X_236,X_235)) = multiply(commutator(X_236,Y),multiply(X_236,X_235)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(Y,X_236)),multiply(X_236,X_235)),multiply(inverse(commutator(Y,X_236)),multiply(X_236,X_235))) )],[refute_0_3318,refute_0_3319]) ).
cnf(refute_0_3321,plain,
multiply(inverse(commutator(Y,X_236)),multiply(X_236,X_235)) = multiply(commutator(X_236,Y),multiply(X_236,X_235)),
inference(resolve,[$cnf( $equal(inverse(commutator(Y,X_236)),commutator(X_236,Y)) )],[refute_0_3317,refute_0_3320]) ).
cnf(refute_0_3322,plain,
( multiply(X_236,multiply(commutator(X_236,Y),X_235)) != multiply(inverse(commutator(Y,X_236)),multiply(X_236,X_235))
| multiply(inverse(commutator(Y,X_236)),multiply(X_236,X_235)) != multiply(commutator(X_236,Y),multiply(X_236,X_235))
| multiply(X_236,multiply(commutator(X_236,Y),X_235)) = multiply(commutator(X_236,Y),multiply(X_236,X_235)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_236,multiply(commutator(X_236,Y),X_235)),multiply(commutator(X_236,Y),multiply(X_236,X_235))) ),[0],$fot(multiply(inverse(commutator(Y,X_236)),multiply(X_236,X_235)))]]) ).
cnf(refute_0_3323,plain,
( multiply(X_236,multiply(commutator(X_236,Y),X_235)) != multiply(inverse(commutator(Y,X_236)),multiply(X_236,X_235))
| multiply(X_236,multiply(commutator(X_236,Y),X_235)) = multiply(commutator(X_236,Y),multiply(X_236,X_235)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(Y,X_236)),multiply(X_236,X_235)),multiply(commutator(X_236,Y),multiply(X_236,X_235))) )],[refute_0_3321,refute_0_3322]) ).
cnf(refute_0_3324,plain,
( multiply(inverse(inverse(multiply(X_236,commutator(X_236,Y)))),X_235) != multiply(inverse(commutator(Y,X_236)),multiply(X_236,X_235))
| multiply(X_236,multiply(commutator(X_236,Y),X_235)) = multiply(commutator(X_236,Y),multiply(X_236,X_235)) ),
inference(resolve,[$cnf( $equal(multiply(X_236,multiply(commutator(X_236,Y),X_235)),multiply(inverse(commutator(Y,X_236)),multiply(X_236,X_235))) )],[refute_0_3316,refute_0_3323]) ).
cnf(refute_0_3325,plain,
multiply(X_236,multiply(commutator(X_236,Y),X_235)) = multiply(commutator(X_236,Y),multiply(X_236,X_235)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_236,commutator(X_236,Y)))),X_235),multiply(inverse(commutator(Y,X_236)),multiply(X_236,X_235))) )],[refute_0_3305,refute_0_3324]) ).
cnf(refute_0_3326,plain,
( multiply(X_236,multiply(commutator(X_236,Y),X_235)) != multiply(commutator(X_236,Y),multiply(X_236,X_235))
| multiply(commutator(X_236,Y),multiply(X_236,X_235)) = multiply(X_236,multiply(commutator(X_236,Y),X_235)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(X_236,multiply(commutator(X_236,Y),X_235)))),bind(Y0,$fot(multiply(commutator(X_236,Y),multiply(X_236,X_235))))]]) ).
cnf(refute_0_3327,plain,
multiply(commutator(X_236,Y),multiply(X_236,X_235)) = multiply(X_236,multiply(commutator(X_236,Y),X_235)),
inference(resolve,[$cnf( $equal(multiply(X_236,multiply(commutator(X_236,Y),X_235)),multiply(commutator(X_236,Y),multiply(X_236,X_235))) )],[refute_0_3325,refute_0_3326]) ).
cnf(refute_0_3328,plain,
multiply(commutator(X_332,commutator(X_334,X_333)),multiply(X_332,inverse(multiply(X_332,commutator(X_334,X_333))))) = multiply(X_332,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333))))),
inference(subst,[],[refute_0_3327:[bind(Y,$fot(commutator(X_334,X_333))),bind(X_235,$fot(inverse(multiply(X_332,commutator(X_334,X_333))))),bind(X_236,$fot(X_332))]]) ).
cnf(refute_0_3329,plain,
multiply(commutator(X_255,X_256),multiply(X_27,inverse(multiply(X_27,X_256)))) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,multiply(X_27,inverse(multiply(X_27,X_256)))))),
inference(subst,[],[refute_0_246:[bind(X,$fot(X_255)),bind(Y,$fot(X_256)),bind(X_11,$fot(multiply(X_27,inverse(multiply(X_27,X_256)))))]]) ).
cnf(refute_0_3330,plain,
commutator(X_256,X_27) = multiply(X_256,multiply(X_27,inverse(multiply(X_27,X_256)))),
inference(subst,[],[refute_0_1317:[bind(X_41,$fot(X_256))]]) ).
cnf(refute_0_3331,plain,
( commutator(X_256,X_27) != multiply(X_256,multiply(X_27,inverse(multiply(X_27,X_256))))
| multiply(X_256,multiply(X_27,inverse(multiply(X_27,X_256)))) = commutator(X_256,X_27) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_256,X_27))),bind(Y0,$fot(multiply(X_256,multiply(X_27,inverse(multiply(X_27,X_256))))))]]) ).
cnf(refute_0_3332,plain,
multiply(X_256,multiply(X_27,inverse(multiply(X_27,X_256)))) = commutator(X_256,X_27),
inference(resolve,[$cnf( $equal(commutator(X_256,X_27),multiply(X_256,multiply(X_27,inverse(multiply(X_27,X_256))))) )],[refute_0_3330,refute_0_3331]) ).
cnf(refute_0_3333,plain,
( multiply(X_256,multiply(X_27,inverse(multiply(X_27,X_256)))) != commutator(X_256,X_27)
| multiply(commutator(X_255,X_256),multiply(X_27,inverse(multiply(X_27,X_256)))) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,multiply(X_27,inverse(multiply(X_27,X_256))))))
| multiply(commutator(X_255,X_256),multiply(X_27,inverse(multiply(X_27,X_256)))) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,commutator(X_256,X_27))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_255,X_256),multiply(X_27,inverse(multiply(X_27,X_256)))),multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,multiply(X_27,inverse(multiply(X_27,X_256))))))) ),[1,1,1],$fot(commutator(X_256,X_27))]]) ).
cnf(refute_0_3334,plain,
( multiply(commutator(X_255,X_256),multiply(X_27,inverse(multiply(X_27,X_256)))) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,multiply(X_27,inverse(multiply(X_27,X_256))))))
| multiply(commutator(X_255,X_256),multiply(X_27,inverse(multiply(X_27,X_256)))) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,commutator(X_256,X_27))) ),
inference(resolve,[$cnf( $equal(multiply(X_256,multiply(X_27,inverse(multiply(X_27,X_256)))),commutator(X_256,X_27)) )],[refute_0_3332,refute_0_3333]) ).
cnf(refute_0_3335,plain,
multiply(commutator(X_255,X_256),multiply(X_27,inverse(multiply(X_27,X_256)))) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,commutator(X_256,X_27))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,X_256),multiply(X_27,inverse(multiply(X_27,X_256)))),multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,multiply(X_27,inverse(multiply(X_27,X_256))))))) )],[refute_0_3329,refute_0_3334]) ).
cnf(refute_0_3336,plain,
( multiply(commutator(X_255,X_256),multiply(X_27,inverse(multiply(X_27,X_256)))) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,commutator(X_256,X_27)))
| multiply(inverse(multiply(X_256,X_255)),multiply(X_255,commutator(X_256,X_27))) = multiply(commutator(X_255,X_256),multiply(X_27,inverse(multiply(X_27,X_256)))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(commutator(X_255,X_256),multiply(X_27,inverse(multiply(X_27,X_256)))))),bind(Y0,$fot(multiply(inverse(multiply(X_256,X_255)),multiply(X_255,commutator(X_256,X_27)))))]]) ).
cnf(refute_0_3337,plain,
multiply(inverse(multiply(X_256,X_255)),multiply(X_255,commutator(X_256,X_27))) = multiply(commutator(X_255,X_256),multiply(X_27,inverse(multiply(X_27,X_256)))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,X_256),multiply(X_27,inverse(multiply(X_27,X_256)))),multiply(inverse(multiply(X_256,X_255)),multiply(X_255,commutator(X_256,X_27)))) )],[refute_0_3335,refute_0_3336]) ).
cnf(refute_0_3338,plain,
multiply(inverse(multiply(commutator(X_334,X_333),X_332)),multiply(X_332,commutator(commutator(X_334,X_333),X_332))) = multiply(commutator(X_332,commutator(X_334,X_333)),multiply(X_332,inverse(multiply(X_332,commutator(X_334,X_333))))),
inference(subst,[],[refute_0_3337:[bind(X_255,$fot(X_332)),bind(X_256,$fot(commutator(X_334,X_333))),bind(X_27,$fot(X_332))]]) ).
cnf(refute_0_3339,plain,
( multiply(commutator(X_332,commutator(X_334,X_333)),multiply(X_332,inverse(multiply(X_332,commutator(X_334,X_333))))) != multiply(X_332,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333)))))
| multiply(inverse(multiply(commutator(X_334,X_333),X_332)),multiply(X_332,commutator(commutator(X_334,X_333),X_332))) != multiply(commutator(X_332,commutator(X_334,X_333)),multiply(X_332,inverse(multiply(X_332,commutator(X_334,X_333)))))
| multiply(inverse(multiply(commutator(X_334,X_333),X_332)),multiply(X_332,commutator(commutator(X_334,X_333),X_332))) = multiply(X_332,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(commutator(X_334,X_333),X_332)),multiply(X_332,commutator(commutator(X_334,X_333),X_332))))),bind(Y0,$fot(multiply(commutator(X_332,commutator(X_334,X_333)),multiply(X_332,inverse(multiply(X_332,commutator(X_334,X_333))))))),bind(Z0,$fot(multiply(X_332,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333)))))))]]) ).
cnf(refute_0_3340,plain,
( multiply(commutator(X_332,commutator(X_334,X_333)),multiply(X_332,inverse(multiply(X_332,commutator(X_334,X_333))))) != multiply(X_332,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333)))))
| multiply(inverse(multiply(commutator(X_334,X_333),X_332)),multiply(X_332,commutator(commutator(X_334,X_333),X_332))) = multiply(X_332,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(commutator(X_334,X_333),X_332)),multiply(X_332,commutator(commutator(X_334,X_333),X_332))),multiply(commutator(X_332,commutator(X_334,X_333)),multiply(X_332,inverse(multiply(X_332,commutator(X_334,X_333)))))) )],[refute_0_3338,refute_0_3339]) ).
cnf(refute_0_3341,plain,
multiply(inverse(multiply(commutator(X_334,X_333),X_332)),multiply(X_332,commutator(commutator(X_334,X_333),X_332))) = multiply(X_332,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333))))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_332,commutator(X_334,X_333)),multiply(X_332,inverse(multiply(X_332,commutator(X_334,X_333))))),multiply(X_332,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333)))))) )],[refute_0_3328,refute_0_3340]) ).
cnf(refute_0_3342,plain,
multiply(multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332),commutator(commutator(X_334,X_333),X_332)) = multiply(inverse(multiply(commutator(X_334,X_333),X_332)),multiply(X_332,commutator(commutator(X_334,X_333),X_332))),
inference(subst,[],[associativity:[bind(X,$fot(inverse(multiply(commutator(X_334,X_333),X_332)))),bind(Y,$fot(X_332)),bind(Z,$fot(commutator(commutator(X_334,X_333),X_332)))]]) ).
cnf(refute_0_3343,plain,
( multiply(multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332),commutator(commutator(X_334,X_333),X_332)) != multiply(inverse(multiply(commutator(X_334,X_333),X_332)),multiply(X_332,commutator(commutator(X_334,X_333),X_332)))
| multiply(inverse(multiply(commutator(X_334,X_333),X_332)),multiply(X_332,commutator(commutator(X_334,X_333),X_332))) != multiply(X_332,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333)))))
| multiply(multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332),commutator(commutator(X_334,X_333),X_332)) = multiply(X_332,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332),commutator(commutator(X_334,X_333),X_332)))),bind(Y0,$fot(multiply(inverse(multiply(commutator(X_334,X_333),X_332)),multiply(X_332,commutator(commutator(X_334,X_333),X_332))))),bind(Z0,$fot(multiply(X_332,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333)))))))]]) ).
cnf(refute_0_3344,plain,
( multiply(inverse(multiply(commutator(X_334,X_333),X_332)),multiply(X_332,commutator(commutator(X_334,X_333),X_332))) != multiply(X_332,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333)))))
| multiply(multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332),commutator(commutator(X_334,X_333),X_332)) = multiply(X_332,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332),commutator(commutator(X_334,X_333),X_332)),multiply(inverse(multiply(commutator(X_334,X_333),X_332)),multiply(X_332,commutator(commutator(X_334,X_333),X_332)))) )],[refute_0_3342,refute_0_3343]) ).
cnf(refute_0_3345,plain,
multiply(multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332),commutator(commutator(X_334,X_333),X_332)) = multiply(X_332,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333))))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(commutator(X_334,X_333),X_332)),multiply(X_332,commutator(commutator(X_334,X_333),X_332))),multiply(X_332,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333)))))) )],[refute_0_3341,refute_0_3344]) ).
cnf(refute_0_3346,plain,
( multiply(X_332,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333))))) != commutator(X_333,X_334)
| multiply(multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332),commutator(commutator(X_334,X_333),X_332)) != multiply(X_332,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333)))))
| multiply(multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332),commutator(commutator(X_334,X_333),X_332)) = commutator(X_333,X_334) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332),commutator(commutator(X_334,X_333),X_332)))),bind(Y0,$fot(multiply(X_332,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333))))))),bind(Z0,$fot(commutator(X_333,X_334)))]]) ).
cnf(refute_0_3347,plain,
( multiply(X_332,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333))))) != commutator(X_333,X_334)
| multiply(multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332),commutator(commutator(X_334,X_333),X_332)) = commutator(X_333,X_334) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332),commutator(commutator(X_334,X_333),X_332)),multiply(X_332,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333)))))) )],[refute_0_3345,refute_0_3346]) ).
cnf(refute_0_3348,plain,
multiply(multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332),commutator(commutator(X_334,X_333),X_332)) = commutator(X_333,X_334),
inference(resolve,[$cnf( $equal(multiply(X_332,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_332,commutator(X_334,X_333))))),commutator(X_333,X_334)) )],[refute_0_3298,refute_0_3347]) ).
cnf(refute_0_3349,plain,
multiply(X_162,multiply(multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332),commutator(commutator(X_334,X_333),X_332))) = multiply(X_162,multiply(multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332),commutator(commutator(X_334,X_333),X_332))),
introduced(tautology,[refl,[$fot(multiply(X_162,multiply(multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332),commutator(commutator(X_334,X_333),X_332))))]]) ).
cnf(refute_0_3350,plain,
( multiply(X_162,multiply(multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332),commutator(commutator(X_334,X_333),X_332))) != multiply(X_162,multiply(multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332),commutator(commutator(X_334,X_333),X_332)))
| multiply(multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332),commutator(commutator(X_334,X_333),X_332)) != commutator(X_333,X_334)
| multiply(X_162,multiply(multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332),commutator(commutator(X_334,X_333),X_332))) = multiply(X_162,commutator(X_333,X_334)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_162,multiply(multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332),commutator(commutator(X_334,X_333),X_332))),multiply(X_162,multiply(multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332),commutator(commutator(X_334,X_333),X_332)))) ),[1,1],$fot(commutator(X_333,X_334))]]) ).
cnf(refute_0_3351,plain,
( multiply(multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332),commutator(commutator(X_334,X_333),X_332)) != commutator(X_333,X_334)
| multiply(X_162,multiply(multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332),commutator(commutator(X_334,X_333),X_332))) = multiply(X_162,commutator(X_333,X_334)) ),
inference(resolve,[$cnf( $equal(multiply(X_162,multiply(multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332),commutator(commutator(X_334,X_333),X_332))),multiply(X_162,multiply(multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332),commutator(commutator(X_334,X_333),X_332)))) )],[refute_0_3349,refute_0_3350]) ).
cnf(refute_0_3352,plain,
multiply(X_162,multiply(multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332),commutator(commutator(X_334,X_333),X_332))) = multiply(X_162,commutator(X_333,X_334)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332),commutator(commutator(X_334,X_333),X_332)),commutator(X_333,X_334)) )],[refute_0_3348,refute_0_3351]) ).
cnf(refute_0_3353,plain,
multiply(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)),commutator(commutator(X_334,X_333),X_332)) = multiply(X_162,multiply(multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332),commutator(commutator(X_334,X_333),X_332))),
inference(subst,[],[associativity:[bind(X,$fot(X_162)),bind(Y,$fot(multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332))),bind(Z,$fot(commutator(commutator(X_334,X_333),X_332)))]]) ).
cnf(refute_0_3354,plain,
( multiply(X_162,multiply(multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332),commutator(commutator(X_334,X_333),X_332))) != multiply(X_162,commutator(X_333,X_334))
| multiply(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)),commutator(commutator(X_334,X_333),X_332)) != multiply(X_162,multiply(multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332),commutator(commutator(X_334,X_333),X_332)))
| multiply(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)),commutator(commutator(X_334,X_333),X_332)) = multiply(X_162,commutator(X_333,X_334)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)),commutator(commutator(X_334,X_333),X_332)))),bind(Y0,$fot(multiply(X_162,multiply(multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332),commutator(commutator(X_334,X_333),X_332))))),bind(Z0,$fot(multiply(X_162,commutator(X_333,X_334))))]]) ).
cnf(refute_0_3355,plain,
( multiply(X_162,multiply(multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332),commutator(commutator(X_334,X_333),X_332))) != multiply(X_162,commutator(X_333,X_334))
| multiply(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)),commutator(commutator(X_334,X_333),X_332)) = multiply(X_162,commutator(X_333,X_334)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)),commutator(commutator(X_334,X_333),X_332)),multiply(X_162,multiply(multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332),commutator(commutator(X_334,X_333),X_332)))) )],[refute_0_3353,refute_0_3354]) ).
cnf(refute_0_3356,plain,
multiply(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)),commutator(commutator(X_334,X_333),X_332)) = multiply(X_162,commutator(X_333,X_334)),
inference(resolve,[$cnf( $equal(multiply(X_162,multiply(multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332),commutator(commutator(X_334,X_333),X_332))),multiply(X_162,commutator(X_333,X_334))) )],[refute_0_3352,refute_0_3355]) ).
cnf(refute_0_3357,plain,
inverse(multiply(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)),commutator(commutator(X_334,X_333),X_332))) = inverse(multiply(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)),commutator(commutator(X_334,X_333),X_332))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)),commutator(commutator(X_334,X_333),X_332))))]]) ).
cnf(refute_0_3358,plain,
( multiply(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)),commutator(commutator(X_334,X_333),X_332)) != multiply(X_162,commutator(X_333,X_334))
| inverse(multiply(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)),commutator(commutator(X_334,X_333),X_332))) != inverse(multiply(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)),commutator(commutator(X_334,X_333),X_332)))
| inverse(multiply(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)),commutator(commutator(X_334,X_333),X_332))) = inverse(multiply(X_162,commutator(X_333,X_334))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)),commutator(commutator(X_334,X_333),X_332))),inverse(multiply(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)),commutator(commutator(X_334,X_333),X_332)))) ),[1,0],$fot(multiply(X_162,commutator(X_333,X_334)))]]) ).
cnf(refute_0_3359,plain,
( multiply(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)),commutator(commutator(X_334,X_333),X_332)) != multiply(X_162,commutator(X_333,X_334))
| inverse(multiply(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)),commutator(commutator(X_334,X_333),X_332))) = inverse(multiply(X_162,commutator(X_333,X_334))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)),commutator(commutator(X_334,X_333),X_332))),inverse(multiply(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)),commutator(commutator(X_334,X_333),X_332)))) )],[refute_0_3357,refute_0_3358]) ).
cnf(refute_0_3360,plain,
inverse(multiply(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)),commutator(commutator(X_334,X_333),X_332))) = inverse(multiply(X_162,commutator(X_333,X_334))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)),commutator(commutator(X_334,X_333),X_332)),multiply(X_162,commutator(X_333,X_334))) )],[refute_0_3356,refute_0_3359]) ).
cnf(refute_0_3361,plain,
multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)))) = inverse(multiply(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)),commutator(commutator(X_334,X_333),X_332))),
inference(subst,[],[refute_0_378:[bind(X_58,$fot(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)))),bind(X_65,$fot(X_332)),bind(X_66,$fot(commutator(X_334,X_333)))]]) ).
cnf(refute_0_3362,plain,
( multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)))) != inverse(multiply(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)),commutator(commutator(X_334,X_333),X_332)))
| inverse(multiply(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)),commutator(commutator(X_334,X_333),X_332))) != inverse(multiply(X_162,commutator(X_333,X_334)))
| multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)))) = inverse(multiply(X_162,commutator(X_333,X_334))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)))))),bind(Y0,$fot(inverse(multiply(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)),commutator(commutator(X_334,X_333),X_332))))),bind(Z0,$fot(inverse(multiply(X_162,commutator(X_333,X_334)))))]]) ).
cnf(refute_0_3363,plain,
( inverse(multiply(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)),commutator(commutator(X_334,X_333),X_332))) != inverse(multiply(X_162,commutator(X_333,X_334)))
| multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)))) = inverse(multiply(X_162,commutator(X_333,X_334))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)))),inverse(multiply(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)),commutator(commutator(X_334,X_333),X_332)))) )],[refute_0_3361,refute_0_3362]) ).
cnf(refute_0_3364,plain,
multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)))) = inverse(multiply(X_162,commutator(X_333,X_334))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)),commutator(commutator(X_334,X_333),X_332))),inverse(multiply(X_162,commutator(X_333,X_334)))) )],[refute_0_3360,refute_0_3363]) ).
cnf(refute_0_3365,plain,
multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332))))) = multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332))))),
introduced(tautology,[refl,[$fot(multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332))))))]]) ).
cnf(refute_0_3366,plain,
( multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332))))) != multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)))))
| multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)))) != inverse(multiply(X_162,commutator(X_333,X_334)))
| multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332))))) = multiply(X_162,inverse(multiply(X_162,commutator(X_333,X_334)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332))))),multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)))))) ),[1,1],$fot(inverse(multiply(X_162,commutator(X_333,X_334))))]]) ).
cnf(refute_0_3367,plain,
( multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)))) != inverse(multiply(X_162,commutator(X_333,X_334)))
| multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332))))) = multiply(X_162,inverse(multiply(X_162,commutator(X_333,X_334)))) ),
inference(resolve,[$cnf( $equal(multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332))))),multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)))))) )],[refute_0_3365,refute_0_3366]) ).
cnf(refute_0_3368,plain,
multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332))))) = multiply(X_162,inverse(multiply(X_162,commutator(X_333,X_334)))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)))),inverse(multiply(X_162,commutator(X_333,X_334)))) )],[refute_0_3364,refute_0_3367]) ).
cnf(refute_0_3369,plain,
multiply(commutator(X_333,X_334),multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)))))) = multiply(commutator(X_333,X_334),multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)))))),
introduced(tautology,[refl,[$fot(multiply(commutator(X_333,X_334),multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)))))))]]) ).
cnf(refute_0_3370,plain,
( multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332))))) != multiply(X_162,inverse(multiply(X_162,commutator(X_333,X_334))))
| multiply(commutator(X_333,X_334),multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)))))) != multiply(commutator(X_333,X_334),multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332))))))
| multiply(commutator(X_333,X_334),multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)))))) = multiply(commutator(X_333,X_334),multiply(X_162,inverse(multiply(X_162,commutator(X_333,X_334))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_333,X_334),multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)))))),multiply(commutator(X_333,X_334),multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332))))))) ),[1,1],$fot(multiply(X_162,inverse(multiply(X_162,commutator(X_333,X_334)))))]]) ).
cnf(refute_0_3371,plain,
( multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332))))) != multiply(X_162,inverse(multiply(X_162,commutator(X_333,X_334))))
| multiply(commutator(X_333,X_334),multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)))))) = multiply(commutator(X_333,X_334),multiply(X_162,inverse(multiply(X_162,commutator(X_333,X_334))))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_333,X_334),multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)))))),multiply(commutator(X_333,X_334),multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332))))))) )],[refute_0_3369,refute_0_3370]) ).
cnf(refute_0_3372,plain,
multiply(commutator(X_333,X_334),multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)))))) = multiply(commutator(X_333,X_334),multiply(X_162,inverse(multiply(X_162,commutator(X_333,X_334))))),
inference(resolve,[$cnf( $equal(multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332))))),multiply(X_162,inverse(multiply(X_162,commutator(X_333,X_334))))) )],[refute_0_3368,refute_0_3371]) ).
cnf(refute_0_3373,plain,
( multiply(commutator(X_333,X_334),multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)))))) != multiply(commutator(X_333,X_334),multiply(X_162,inverse(multiply(X_162,commutator(X_333,X_334)))))
| multiply(commutator(X_333,X_334),multiply(X_162,inverse(multiply(X_162,commutator(X_333,X_334))))) != commutator(X_333,commutator(X_334,X_162))
| multiply(commutator(X_333,X_334),multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)))))) = commutator(X_333,commutator(X_334,X_162)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_333,X_334),multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)))))))),bind(Y0,$fot(multiply(commutator(X_333,X_334),multiply(X_162,inverse(multiply(X_162,commutator(X_333,X_334))))))),bind(Z0,$fot(commutator(X_333,commutator(X_334,X_162))))]]) ).
cnf(refute_0_3374,plain,
( multiply(commutator(X_333,X_334),multiply(X_162,inverse(multiply(X_162,commutator(X_333,X_334))))) != commutator(X_333,commutator(X_334,X_162))
| multiply(commutator(X_333,X_334),multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)))))) = commutator(X_333,commutator(X_334,X_162)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_333,X_334),multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)))))),multiply(commutator(X_333,X_334),multiply(X_162,inverse(multiply(X_162,commutator(X_333,X_334)))))) )],[refute_0_3372,refute_0_3373]) ).
cnf(refute_0_3375,plain,
multiply(commutator(X_333,X_334),multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)))))) = commutator(X_333,commutator(X_334,X_162)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_333,X_334),multiply(X_162,inverse(multiply(X_162,commutator(X_333,X_334))))),commutator(X_333,commutator(X_334,X_162))) )],[refute_0_3273,refute_0_3374]) ).
cnf(refute_0_3376,plain,
( multiply(commutator(X_333,X_334),multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)))))) != commutator(X_333,commutator(X_334,X_162))
| commutator(X_333,commutator(X_334,multiply(X_162,commutator(X_332,commutator(X_334,X_333))))) != multiply(commutator(X_333,X_334),multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332))))))
| commutator(X_333,commutator(X_334,multiply(X_162,commutator(X_332,commutator(X_334,X_333))))) = commutator(X_333,commutator(X_334,X_162)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_333,commutator(X_334,multiply(X_162,commutator(X_332,commutator(X_334,X_333))))),multiply(commutator(X_333,X_334),multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332))))))) ),[1],$fot(commutator(X_333,commutator(X_334,X_162)))]]) ).
cnf(refute_0_3377,plain,
( commutator(X_333,commutator(X_334,multiply(X_162,commutator(X_332,commutator(X_334,X_333))))) != multiply(commutator(X_333,X_334),multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332))))))
| commutator(X_333,commutator(X_334,multiply(X_162,commutator(X_332,commutator(X_334,X_333))))) = commutator(X_333,commutator(X_334,X_162)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_333,X_334),multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332)))))),commutator(X_333,commutator(X_334,X_162))) )],[refute_0_3375,refute_0_3376]) ).
cnf(refute_0_3378,plain,
( commutator(commutator(X_333,X_334),multiply(X_162,commutator(X_332,commutator(X_334,X_333)))) != multiply(commutator(X_333,X_334),multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332))))))
| commutator(X_333,commutator(X_334,multiply(X_162,commutator(X_332,commutator(X_334,X_333))))) = commutator(X_333,commutator(X_334,X_162)) ),
inference(resolve,[$cnf( $equal(commutator(X_333,commutator(X_334,multiply(X_162,commutator(X_332,commutator(X_334,X_333))))),multiply(commutator(X_333,X_334),multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332))))))) )],[refute_0_3268,refute_0_3377]) ).
cnf(refute_0_3379,plain,
commutator(X_333,commutator(X_334,multiply(X_162,commutator(X_332,commutator(X_334,X_333))))) = commutator(X_333,commutator(X_334,X_162)),
inference(resolve,[$cnf( $equal(commutator(commutator(X_333,X_334),multiply(X_162,commutator(X_332,commutator(X_334,X_333)))),multiply(commutator(X_333,X_334),multiply(X_162,multiply(commutator(X_332,commutator(X_334,X_333)),inverse(multiply(X_162,multiply(inverse(multiply(commutator(X_334,X_333),X_332)),X_332))))))) )],[refute_0_3265,refute_0_3378]) ).
cnf(refute_0_3380,plain,
commutator(X_333,commutator(X_334,multiply(X_128,commutator(X_128,commutator(X_334,X_333))))) = commutator(X_333,commutator(X_334,X_128)),
inference(subst,[],[refute_0_3379:[bind(X_162,$fot(X_128)),bind(X_332,$fot(X_128))]]) ).
cnf(refute_0_3381,plain,
commutator(multiply(X_128,commutator(X_128,commutator(X_306,X_307))),commutator(X_306,X_307)) = commutator(X_128,commutator(X_306,X_307)),
inference(subst,[],[refute_0_1592:[bind(X_127,$fot(commutator(X_306,X_307)))]]) ).
cnf(refute_0_3382,plain,
commutator(multiply(X_128,commutator(X_128,commutator(X_306,X_307))),commutator(X_306,X_307)) = commutator(X_306,commutator(multiply(X_128,commutator(X_128,commutator(X_306,X_307))),X_307)),
inference(subst,[],[refute_0_2211:[bind(X,$fot(X_306)),bind(Y,$fot(X_307)),bind(X_113,$fot(multiply(X_128,commutator(X_128,commutator(X_306,X_307)))))]]) ).
cnf(refute_0_3383,plain,
( commutator(multiply(X_128,commutator(X_128,commutator(X_306,X_307))),commutator(X_306,X_307)) != commutator(X_128,commutator(X_306,X_307))
| commutator(multiply(X_128,commutator(X_128,commutator(X_306,X_307))),commutator(X_306,X_307)) != commutator(X_306,commutator(multiply(X_128,commutator(X_128,commutator(X_306,X_307))),X_307))
| commutator(X_306,commutator(multiply(X_128,commutator(X_128,commutator(X_306,X_307))),X_307)) = commutator(X_128,commutator(X_306,X_307)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_128,commutator(X_128,commutator(X_306,X_307))),commutator(X_306,X_307)),commutator(X_128,commutator(X_306,X_307))) ),[0],$fot(commutator(X_306,commutator(multiply(X_128,commutator(X_128,commutator(X_306,X_307))),X_307)))]]) ).
cnf(refute_0_3384,plain,
( commutator(multiply(X_128,commutator(X_128,commutator(X_306,X_307))),commutator(X_306,X_307)) != commutator(X_128,commutator(X_306,X_307))
| commutator(X_306,commutator(multiply(X_128,commutator(X_128,commutator(X_306,X_307))),X_307)) = commutator(X_128,commutator(X_306,X_307)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_128,commutator(X_128,commutator(X_306,X_307))),commutator(X_306,X_307)),commutator(X_306,commutator(multiply(X_128,commutator(X_128,commutator(X_306,X_307))),X_307))) )],[refute_0_3382,refute_0_3383]) ).
cnf(refute_0_3385,plain,
commutator(X_306,commutator(multiply(X_128,commutator(X_128,commutator(X_306,X_307))),X_307)) = commutator(X_128,commutator(X_306,X_307)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_128,commutator(X_128,commutator(X_306,X_307))),commutator(X_306,X_307)),commutator(X_128,commutator(X_306,X_307))) )],[refute_0_3381,refute_0_3384]) ).
cnf(refute_0_3386,plain,
commutator(commutator(X,Y),multiply(X_139,commutator(X_139,commutator(X,Y)))) = commutator(X,commutator(Y,multiply(X_139,commutator(X_139,commutator(X,Y))))),
inference(subst,[],[associativity_of_commutator:[bind(Z,$fot(multiply(X_139,commutator(X_139,commutator(X,Y)))))]]) ).
cnf(refute_0_3387,plain,
commutator(commutator(X,Y),multiply(X_139,commutator(X_139,commutator(X,Y)))) = commutator(commutator(X,Y),X_139),
inference(subst,[],[refute_0_1764:[bind(X_109,$fot(X_139)),bind(X_121,$fot(commutator(X,Y)))]]) ).
cnf(refute_0_3388,plain,
( commutator(commutator(X,Y),multiply(X_139,commutator(X_139,commutator(X,Y)))) != commutator(X,commutator(Y,multiply(X_139,commutator(X_139,commutator(X,Y)))))
| commutator(commutator(X,Y),multiply(X_139,commutator(X_139,commutator(X,Y)))) != commutator(commutator(X,Y),X_139)
| commutator(commutator(X,Y),X_139) = commutator(X,commutator(Y,multiply(X_139,commutator(X_139,commutator(X,Y))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(X,Y),multiply(X_139,commutator(X_139,commutator(X,Y)))),commutator(X,commutator(Y,multiply(X_139,commutator(X_139,commutator(X,Y)))))) ),[0],$fot(commutator(commutator(X,Y),X_139))]]) ).
cnf(refute_0_3389,plain,
( commutator(commutator(X,Y),multiply(X_139,commutator(X_139,commutator(X,Y)))) != commutator(X,commutator(Y,multiply(X_139,commutator(X_139,commutator(X,Y)))))
| commutator(commutator(X,Y),X_139) = commutator(X,commutator(Y,multiply(X_139,commutator(X_139,commutator(X,Y))))) ),
inference(resolve,[$cnf( $equal(commutator(commutator(X,Y),multiply(X_139,commutator(X_139,commutator(X,Y)))),commutator(commutator(X,Y),X_139)) )],[refute_0_3387,refute_0_3388]) ).
cnf(refute_0_3390,plain,
commutator(commutator(X,Y),X_139) = commutator(X,commutator(Y,multiply(X_139,commutator(X_139,commutator(X,Y))))),
inference(resolve,[$cnf( $equal(commutator(commutator(X,Y),multiply(X_139,commutator(X_139,commutator(X,Y)))),commutator(X,commutator(Y,multiply(X_139,commutator(X_139,commutator(X,Y)))))) )],[refute_0_3386,refute_0_3389]) ).
cnf(refute_0_3391,plain,
commutator(commutator(X,Y),X_139) = commutator(X,commutator(Y,X_139)),
inference(subst,[],[associativity_of_commutator:[bind(Z,$fot(X_139))]]) ).
cnf(refute_0_3392,plain,
( commutator(commutator(X,Y),X_139) != commutator(X,commutator(Y,X_139))
| commutator(commutator(X,Y),X_139) != commutator(X,commutator(Y,multiply(X_139,commutator(X_139,commutator(X,Y)))))
| commutator(X,commutator(Y,X_139)) = commutator(X,commutator(Y,multiply(X_139,commutator(X_139,commutator(X,Y))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(X,Y),X_139),commutator(X,commutator(Y,multiply(X_139,commutator(X_139,commutator(X,Y)))))) ),[0],$fot(commutator(X,commutator(Y,X_139)))]]) ).
cnf(refute_0_3393,plain,
( commutator(commutator(X,Y),X_139) != commutator(X,commutator(Y,multiply(X_139,commutator(X_139,commutator(X,Y)))))
| commutator(X,commutator(Y,X_139)) = commutator(X,commutator(Y,multiply(X_139,commutator(X_139,commutator(X,Y))))) ),
inference(resolve,[$cnf( $equal(commutator(commutator(X,Y),X_139),commutator(X,commutator(Y,X_139))) )],[refute_0_3391,refute_0_3392]) ).
cnf(refute_0_3394,plain,
commutator(X,commutator(Y,X_139)) = commutator(X,commutator(Y,multiply(X_139,commutator(X_139,commutator(X,Y))))),
inference(resolve,[$cnf( $equal(commutator(commutator(X,Y),X_139),commutator(X,commutator(Y,multiply(X_139,commutator(X_139,commutator(X,Y)))))) )],[refute_0_3390,refute_0_3393]) ).
cnf(refute_0_3395,plain,
( commutator(X,commutator(Y,X_139)) != commutator(X,commutator(Y,multiply(X_139,commutator(X_139,commutator(X,Y)))))
| commutator(X,commutator(Y,multiply(X_139,commutator(X_139,commutator(X,Y))))) = commutator(X,commutator(Y,X_139)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X,commutator(Y,X_139)))),bind(Y0,$fot(commutator(X,commutator(Y,multiply(X_139,commutator(X_139,commutator(X,Y)))))))]]) ).
cnf(refute_0_3396,plain,
commutator(X,commutator(Y,multiply(X_139,commutator(X_139,commutator(X,Y))))) = commutator(X,commutator(Y,X_139)),
inference(resolve,[$cnf( $equal(commutator(X,commutator(Y,X_139)),commutator(X,commutator(Y,multiply(X_139,commutator(X_139,commutator(X,Y)))))) )],[refute_0_3394,refute_0_3395]) ).
cnf(refute_0_3397,plain,
commutator(X_306,commutator(X_307,multiply(X_128,commutator(X_128,commutator(X_306,X_307))))) = commutator(X_306,commutator(X_307,X_128)),
inference(subst,[],[refute_0_3396:[bind(X,$fot(X_306)),bind(Y,$fot(X_307)),bind(X_139,$fot(X_128))]]) ).
cnf(refute_0_3398,plain,
multiply(inverse(multiply(X_58,commutator(X_282,commutator(X_283,X_58)))),X_58) = inverse(commutator(X_282,commutator(X_283,X_58))),
inference(subst,[],[refute_0_208:[bind(X_10,$fot(commutator(X_282,commutator(X_283,X_58))))]]) ).
cnf(refute_0_3399,plain,
multiply(X_58,commutator(X_282,commutator(X_283,X_58))) = multiply(commutator(X_282,X_283),multiply(X_58,commutator(X_283,X_282))),
inference(subst,[],[refute_0_1843:[bind(X_10,$fot(X_58)),bind(X_255,$fot(X_282)),bind(X_256,$fot(X_283))]]) ).
cnf(refute_0_3400,plain,
( multiply(X_58,commutator(X_282,commutator(X_283,X_58))) != multiply(commutator(X_282,X_283),multiply(X_58,commutator(X_283,X_282)))
| multiply(inverse(multiply(X_58,commutator(X_282,commutator(X_283,X_58)))),X_58) != inverse(commutator(X_282,commutator(X_283,X_58)))
| multiply(inverse(multiply(commutator(X_282,X_283),multiply(X_58,commutator(X_283,X_282)))),X_58) = inverse(commutator(X_282,commutator(X_283,X_58))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_58,commutator(X_282,commutator(X_283,X_58)))),X_58),inverse(commutator(X_282,commutator(X_283,X_58)))) ),[0,0,0],$fot(multiply(commutator(X_282,X_283),multiply(X_58,commutator(X_283,X_282))))]]) ).
cnf(refute_0_3401,plain,
( multiply(inverse(multiply(X_58,commutator(X_282,commutator(X_283,X_58)))),X_58) != inverse(commutator(X_282,commutator(X_283,X_58)))
| multiply(inverse(multiply(commutator(X_282,X_283),multiply(X_58,commutator(X_283,X_282)))),X_58) = inverse(commutator(X_282,commutator(X_283,X_58))) ),
inference(resolve,[$cnf( $equal(multiply(X_58,commutator(X_282,commutator(X_283,X_58))),multiply(commutator(X_282,X_283),multiply(X_58,commutator(X_283,X_282)))) )],[refute_0_3399,refute_0_3400]) ).
cnf(refute_0_3402,plain,
multiply(inverse(multiply(commutator(X_282,X_283),multiply(X_58,commutator(X_283,X_282)))),X_58) = inverse(commutator(X_282,commutator(X_283,X_58))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_58,commutator(X_282,commutator(X_283,X_58)))),X_58),inverse(commutator(X_282,commutator(X_283,X_58)))) )],[refute_0_3398,refute_0_3401]) ).
cnf(refute_0_3403,plain,
commutator(multiply(X_162,commutator(X_66,X_65)),commutator(X_65,X_66)) = multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),multiply(X_162,multiply(commutator(X_66,X_65),commutator(X_65,X_66)))),
inference(subst,[],[refute_0_713:[bind(Y,$fot(commutator(X_65,X_66))),bind(X_10,$fot(commutator(X_66,X_65))),bind(X_9,$fot(X_162))]]) ).
cnf(refute_0_3404,plain,
( multiply(commutator(X_66,X_65),commutator(X_65,X_66)) != identity
| commutator(multiply(X_162,commutator(X_66,X_65)),commutator(X_65,X_66)) != multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),multiply(X_162,multiply(commutator(X_66,X_65),commutator(X_65,X_66))))
| commutator(multiply(X_162,commutator(X_66,X_65)),commutator(X_65,X_66)) = multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),multiply(X_162,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_162,commutator(X_66,X_65)),commutator(X_65,X_66)),multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),multiply(X_162,multiply(commutator(X_66,X_65),commutator(X_65,X_66))))) ),[1,1,1],$fot(identity)]]) ).
cnf(refute_0_3405,plain,
( commutator(multiply(X_162,commutator(X_66,X_65)),commutator(X_65,X_66)) != multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),multiply(X_162,multiply(commutator(X_66,X_65),commutator(X_65,X_66))))
| commutator(multiply(X_162,commutator(X_66,X_65)),commutator(X_65,X_66)) = multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),multiply(X_162,identity)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_66,X_65),commutator(X_65,X_66)),identity) )],[refute_0_3204,refute_0_3404]) ).
cnf(refute_0_3406,plain,
commutator(multiply(X_162,commutator(X_66,X_65)),commutator(X_65,X_66)) = multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),multiply(X_162,identity)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_162,commutator(X_66,X_65)),commutator(X_65,X_66)),multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),multiply(X_162,multiply(commutator(X_66,X_65),commutator(X_65,X_66))))) )],[refute_0_3403,refute_0_3405]) ).
cnf(refute_0_3407,plain,
commutator(commutator(Y,X),X_114) = commutator(X_114,inverse(commutator(Y,X))),
inference(subst,[],[refute_0_572:[bind(X_109,$fot(commutator(Y,X))),bind(X_110,$fot(X_114))]]) ).
cnf(refute_0_3408,plain,
( commutator(commutator(Y,X),X_114) != commutator(X_114,inverse(commutator(Y,X)))
| inverse(commutator(Y,X)) != commutator(X,Y)
| commutator(commutator(Y,X),X_114) = commutator(X_114,commutator(X,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(Y,X),X_114),commutator(X_114,inverse(commutator(Y,X)))) ),[1,1],$fot(commutator(X,Y))]]) ).
cnf(refute_0_3409,plain,
( commutator(commutator(Y,X),X_114) != commutator(X_114,inverse(commutator(Y,X)))
| commutator(commutator(Y,X),X_114) = commutator(X_114,commutator(X,Y)) ),
inference(resolve,[$cnf( $equal(inverse(commutator(Y,X)),commutator(X,Y)) )],[refute_0_386,refute_0_3408]) ).
cnf(refute_0_3410,plain,
commutator(commutator(Y,X),X_114) = commutator(X_114,commutator(X,Y)),
inference(resolve,[$cnf( $equal(commutator(commutator(Y,X),X_114),commutator(X_114,inverse(commutator(Y,X)))) )],[refute_0_3407,refute_0_3409]) ).
cnf(refute_0_3411,plain,
commutator(commutator(Y,X),X_114) = commutator(Y,commutator(X,X_114)),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(Y)),bind(Y,$fot(X)),bind(Z,$fot(X_114))]]) ).
cnf(refute_0_3412,plain,
( commutator(commutator(Y,X),X_114) != commutator(Y,commutator(X,X_114))
| commutator(commutator(Y,X),X_114) != commutator(X_114,commutator(X,Y))
| commutator(Y,commutator(X,X_114)) = commutator(X_114,commutator(X,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(Y,X),X_114),commutator(X_114,commutator(X,Y))) ),[0],$fot(commutator(Y,commutator(X,X_114)))]]) ).
cnf(refute_0_3413,plain,
( commutator(commutator(Y,X),X_114) != commutator(X_114,commutator(X,Y))
| commutator(Y,commutator(X,X_114)) = commutator(X_114,commutator(X,Y)) ),
inference(resolve,[$cnf( $equal(commutator(commutator(Y,X),X_114),commutator(Y,commutator(X,X_114))) )],[refute_0_3411,refute_0_3412]) ).
cnf(refute_0_3414,plain,
commutator(Y,commutator(X,X_114)) = commutator(X_114,commutator(X,Y)),
inference(resolve,[$cnf( $equal(commutator(commutator(Y,X),X_114),commutator(X_114,commutator(X,Y))) )],[refute_0_3410,refute_0_3413]) ).
cnf(refute_0_3415,plain,
( commutator(Y,commutator(X,X_114)) != commutator(X_114,commutator(X,Y))
| commutator(X_114,commutator(X,Y)) = commutator(Y,commutator(X,X_114)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(Y,commutator(X,X_114)))),bind(Y0,$fot(commutator(X_114,commutator(X,Y))))]]) ).
cnf(refute_0_3416,plain,
commutator(X_114,commutator(X,Y)) = commutator(Y,commutator(X,X_114)),
inference(resolve,[$cnf( $equal(commutator(Y,commutator(X,X_114)),commutator(X_114,commutator(X,Y))) )],[refute_0_3414,refute_0_3415]) ).
cnf(refute_0_3417,plain,
commutator(multiply(X_162,commutator(X_66,X_65)),commutator(X_65,X_66)) = commutator(X_66,commutator(X_65,multiply(X_162,commutator(X_66,X_65)))),
inference(subst,[],[refute_0_3416:[bind(X,$fot(X_65)),bind(Y,$fot(X_66)),bind(X_114,$fot(multiply(X_162,commutator(X_66,X_65))))]]) ).
cnf(refute_0_3418,plain,
( commutator(multiply(X_162,commutator(X_66,X_65)),commutator(X_65,X_66)) != multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),multiply(X_162,identity))
| commutator(multiply(X_162,commutator(X_66,X_65)),commutator(X_65,X_66)) != commutator(X_66,commutator(X_65,multiply(X_162,commutator(X_66,X_65))))
| commutator(X_66,commutator(X_65,multiply(X_162,commutator(X_66,X_65)))) = multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),multiply(X_162,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_162,commutator(X_66,X_65)),commutator(X_65,X_66)),multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),multiply(X_162,identity))) ),[0],$fot(commutator(X_66,commutator(X_65,multiply(X_162,commutator(X_66,X_65)))))]]) ).
cnf(refute_0_3419,plain,
( commutator(multiply(X_162,commutator(X_66,X_65)),commutator(X_65,X_66)) != multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),multiply(X_162,identity))
| commutator(X_66,commutator(X_65,multiply(X_162,commutator(X_66,X_65)))) = multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),multiply(X_162,identity)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_162,commutator(X_66,X_65)),commutator(X_65,X_66)),commutator(X_66,commutator(X_65,multiply(X_162,commutator(X_66,X_65))))) )],[refute_0_3417,refute_0_3418]) ).
cnf(refute_0_3420,plain,
multiply(X_162,identity) = X_162,
inference(subst,[],[refute_0_100:[bind(X_16,$fot(X_162))]]) ).
cnf(refute_0_3421,plain,
multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),multiply(X_162,identity)) = multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),multiply(X_162,identity)),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),multiply(X_162,identity)))]]) ).
cnf(refute_0_3422,plain,
( multiply(X_162,identity) != X_162
| multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),multiply(X_162,identity)) != multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),multiply(X_162,identity))
| multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),multiply(X_162,identity)) = multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),X_162) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),multiply(X_162,identity)),multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),multiply(X_162,identity))) ),[1,1],$fot(X_162)]]) ).
cnf(refute_0_3423,plain,
( multiply(X_162,identity) != X_162
| multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),multiply(X_162,identity)) = multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),X_162) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),multiply(X_162,identity)),multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),multiply(X_162,identity))) )],[refute_0_3421,refute_0_3422]) ).
cnf(refute_0_3424,plain,
multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),multiply(X_162,identity)) = multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),X_162),
inference(resolve,[$cnf( $equal(multiply(X_162,identity),X_162) )],[refute_0_3420,refute_0_3423]) ).
cnf(refute_0_3425,plain,
( multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),multiply(X_162,identity)) != multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),X_162)
| commutator(X_66,commutator(X_65,multiply(X_162,commutator(X_66,X_65)))) != multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),multiply(X_162,identity))
| commutator(X_66,commutator(X_65,multiply(X_162,commutator(X_66,X_65)))) = multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),X_162) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_66,commutator(X_65,multiply(X_162,commutator(X_66,X_65)))),multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),multiply(X_162,identity))) ),[1],$fot(multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),X_162))]]) ).
cnf(refute_0_3426,plain,
( commutator(X_66,commutator(X_65,multiply(X_162,commutator(X_66,X_65)))) != multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),multiply(X_162,identity))
| commutator(X_66,commutator(X_65,multiply(X_162,commutator(X_66,X_65)))) = multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),X_162) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),multiply(X_162,identity)),multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),X_162)) )],[refute_0_3424,refute_0_3425]) ).
cnf(refute_0_3427,plain,
( commutator(multiply(X_162,commutator(X_66,X_65)),commutator(X_65,X_66)) != multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),multiply(X_162,identity))
| commutator(X_66,commutator(X_65,multiply(X_162,commutator(X_66,X_65)))) = multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),X_162) ),
inference(resolve,[$cnf( $equal(commutator(X_66,commutator(X_65,multiply(X_162,commutator(X_66,X_65)))),multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),multiply(X_162,identity))) )],[refute_0_3419,refute_0_3426]) ).
cnf(refute_0_3428,plain,
commutator(X_66,commutator(X_65,multiply(X_162,commutator(X_66,X_65)))) = multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),X_162),
inference(resolve,[$cnf( $equal(commutator(multiply(X_162,commutator(X_66,X_65)),commutator(X_65,X_66)),multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),multiply(X_162,identity))) )],[refute_0_3406,refute_0_3427]) ).
cnf(refute_0_3429,plain,
commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y))))) = commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(X_171))),
inference(subst,[],[refute_0_1692:[bind(X_10,$fot(X_171)),bind(X_161,$fot(inverse(multiply(X_171,commutator(X_171,Y))))),bind(X_162,$fot(X_173))]]) ).
cnf(refute_0_3430,plain,
commutator(Y,X_171) = multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),
inference(subst,[],[refute_0_1923:[bind(X_136,$fot(X_171))]]) ).
cnf(refute_0_3431,plain,
( commutator(Y,X_171) != multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y))))
| multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))) = commutator(Y,X_171) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(Y,X_171))),bind(Y0,$fot(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y))))))]]) ).
cnf(refute_0_3432,plain,
multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))) = commutator(Y,X_171),
inference(resolve,[$cnf( $equal(commutator(Y,X_171),multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y))))) )],[refute_0_3430,refute_0_3431]) ).
cnf(refute_0_3433,plain,
( multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))) != commutator(Y,X_171)
| commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y))))) != commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(X_171)))
| commutator(commutator(Y,X_171),multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y))))) = commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(X_171))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y))))),commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(X_171)))) ),[0,0],$fot(commutator(Y,X_171))]]) ).
cnf(refute_0_3434,plain,
( commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y))))) != commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(X_171)))
| commutator(commutator(Y,X_171),multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y))))) = commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(X_171))) ),
inference(resolve,[$cnf( $equal(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),commutator(Y,X_171)) )],[refute_0_3432,refute_0_3433]) ).
cnf(refute_0_3435,plain,
commutator(commutator(Y,X_171),multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y))))) = commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(X_171))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y))))),commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(X_171)))) )],[refute_0_3429,refute_0_3434]) ).
cnf(refute_0_3436,plain,
commutator(commutator(Y,X_171),multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y))))) = commutator(Y,commutator(X_171,multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y)))))),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(Y)),bind(Y,$fot(X_171)),bind(Z,$fot(multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y))))))]]) ).
cnf(refute_0_3437,plain,
( commutator(commutator(Y,X_171),multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y))))) != commutator(Y,commutator(X_171,multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y))))))
| commutator(commutator(Y,X_171),multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y))))) != commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(X_171)))
| commutator(Y,commutator(X_171,multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y)))))) = commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(X_171))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(Y,X_171),multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y))))),commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(X_171)))) ),[0],$fot(commutator(Y,commutator(X_171,multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y)))))))]]) ).
cnf(refute_0_3438,plain,
( commutator(commutator(Y,X_171),multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y))))) != commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(X_171)))
| commutator(Y,commutator(X_171,multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y)))))) = commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(X_171))) ),
inference(resolve,[$cnf( $equal(commutator(commutator(Y,X_171),multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y))))),commutator(Y,commutator(X_171,multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y))))))) )],[refute_0_3436,refute_0_3437]) ).
cnf(refute_0_3439,plain,
commutator(Y,multiply(X_153,inverse(Y))) = multiply(inverse(multiply(multiply(X_153,inverse(Y)),Y)),multiply(Y,multiply(X_153,inverse(Y)))),
inference(subst,[],[refute_0_718:[bind(X,$fot(multiply(X_153,inverse(Y))))]]) ).
cnf(refute_0_3440,plain,
multiply(Y,multiply(X_153,inverse(Y))) = multiply(X_153,commutator(Y,X_153)),
inference(subst,[],[refute_0_933:[bind(X_10,$fot(X_153)),bind(X_90,$fot(Y))]]) ).
cnf(refute_0_3441,plain,
( multiply(Y,multiply(X_153,inverse(Y))) != multiply(X_153,commutator(Y,X_153))
| commutator(Y,multiply(X_153,inverse(Y))) != multiply(inverse(multiply(multiply(X_153,inverse(Y)),Y)),multiply(Y,multiply(X_153,inverse(Y))))
| commutator(Y,multiply(X_153,inverse(Y))) = multiply(inverse(multiply(multiply(X_153,inverse(Y)),Y)),multiply(X_153,commutator(Y,X_153))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(Y,multiply(X_153,inverse(Y))),multiply(inverse(multiply(multiply(X_153,inverse(Y)),Y)),multiply(Y,multiply(X_153,inverse(Y))))) ),[1,1],$fot(multiply(X_153,commutator(Y,X_153)))]]) ).
cnf(refute_0_3442,plain,
( commutator(Y,multiply(X_153,inverse(Y))) != multiply(inverse(multiply(multiply(X_153,inverse(Y)),Y)),multiply(Y,multiply(X_153,inverse(Y))))
| commutator(Y,multiply(X_153,inverse(Y))) = multiply(inverse(multiply(multiply(X_153,inverse(Y)),Y)),multiply(X_153,commutator(Y,X_153))) ),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(X_153,inverse(Y))),multiply(X_153,commutator(Y,X_153))) )],[refute_0_3440,refute_0_3441]) ).
cnf(refute_0_3443,plain,
commutator(Y,multiply(X_153,inverse(Y))) = multiply(inverse(multiply(multiply(X_153,inverse(Y)),Y)),multiply(X_153,commutator(Y,X_153))),
inference(resolve,[$cnf( $equal(commutator(Y,multiply(X_153,inverse(Y))),multiply(inverse(multiply(multiply(X_153,inverse(Y)),Y)),multiply(Y,multiply(X_153,inverse(Y))))) )],[refute_0_3439,refute_0_3442]) ).
cnf(refute_0_3444,plain,
multiply(inverse(X_153),multiply(X_153,commutator(Y,X_153))) = commutator(Y,X_153),
inference(subst,[],[refute_0_39:[bind(X_10,$fot(X_153)),bind(X_11,$fot(commutator(Y,X_153)))]]) ).
cnf(refute_0_3445,plain,
multiply(X_153,identity) = X_153,
inference(subst,[],[refute_0_100:[bind(X_16,$fot(X_153))]]) ).
cnf(refute_0_3446,plain,
multiply(X_153,multiply(inverse(Y),Y)) = multiply(X_153,multiply(inverse(Y),Y)),
introduced(tautology,[refl,[$fot(multiply(X_153,multiply(inverse(Y),Y)))]]) ).
cnf(refute_0_3447,plain,
( multiply(X_153,multiply(inverse(Y),Y)) != multiply(X_153,multiply(inverse(Y),Y))
| multiply(inverse(Y),Y) != identity
| multiply(X_153,multiply(inverse(Y),Y)) = multiply(X_153,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_153,multiply(inverse(Y),Y)),multiply(X_153,multiply(inverse(Y),Y))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_3448,plain,
( multiply(inverse(Y),Y) != identity
| multiply(X_153,multiply(inverse(Y),Y)) = multiply(X_153,identity) ),
inference(resolve,[$cnf( $equal(multiply(X_153,multiply(inverse(Y),Y)),multiply(X_153,multiply(inverse(Y),Y))) )],[refute_0_3446,refute_0_3447]) ).
cnf(refute_0_3449,plain,
multiply(X_153,multiply(inverse(Y),Y)) = multiply(X_153,identity),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),Y),identity) )],[refute_0_2979,refute_0_3448]) ).
cnf(refute_0_3450,plain,
( multiply(X_153,multiply(inverse(Y),Y)) != multiply(X_153,identity)
| multiply(X_153,identity) != X_153
| multiply(X_153,multiply(inverse(Y),Y)) = X_153 ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_153,multiply(inverse(Y),Y)))),bind(Y0,$fot(multiply(X_153,identity))),bind(Z0,$fot(X_153))]]) ).
cnf(refute_0_3451,plain,
( multiply(X_153,identity) != X_153
| multiply(X_153,multiply(inverse(Y),Y)) = X_153 ),
inference(resolve,[$cnf( $equal(multiply(X_153,multiply(inverse(Y),Y)),multiply(X_153,identity)) )],[refute_0_3449,refute_0_3450]) ).
cnf(refute_0_3452,plain,
multiply(X_153,multiply(inverse(Y),Y)) = X_153,
inference(resolve,[$cnf( $equal(multiply(X_153,identity),X_153) )],[refute_0_3445,refute_0_3451]) ).
cnf(refute_0_3453,plain,
multiply(multiply(X_153,inverse(Y)),Y) = multiply(X_153,multiply(inverse(Y),Y)),
inference(subst,[],[associativity:[bind(X,$fot(X_153)),bind(Y,$fot(inverse(Y))),bind(Z,$fot(Y))]]) ).
cnf(refute_0_3454,plain,
( multiply(X_153,multiply(inverse(Y),Y)) != X_153
| multiply(multiply(X_153,inverse(Y)),Y) != multiply(X_153,multiply(inverse(Y),Y))
| multiply(multiply(X_153,inverse(Y)),Y) = X_153 ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_153,inverse(Y)),Y))),bind(Y0,$fot(multiply(X_153,multiply(inverse(Y),Y)))),bind(Z0,$fot(X_153))]]) ).
cnf(refute_0_3455,plain,
( multiply(X_153,multiply(inverse(Y),Y)) != X_153
| multiply(multiply(X_153,inverse(Y)),Y) = X_153 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_153,inverse(Y)),Y),multiply(X_153,multiply(inverse(Y),Y))) )],[refute_0_3453,refute_0_3454]) ).
cnf(refute_0_3456,plain,
multiply(multiply(X_153,inverse(Y)),Y) = X_153,
inference(resolve,[$cnf( $equal(multiply(X_153,multiply(inverse(Y),Y)),X_153) )],[refute_0_3452,refute_0_3455]) ).
cnf(refute_0_3457,plain,
inverse(multiply(multiply(X_153,inverse(Y)),Y)) = inverse(multiply(multiply(X_153,inverse(Y)),Y)),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_153,inverse(Y)),Y)))]]) ).
cnf(refute_0_3458,plain,
( multiply(multiply(X_153,inverse(Y)),Y) != X_153
| inverse(multiply(multiply(X_153,inverse(Y)),Y)) != inverse(multiply(multiply(X_153,inverse(Y)),Y))
| inverse(multiply(multiply(X_153,inverse(Y)),Y)) = inverse(X_153) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_153,inverse(Y)),Y)),inverse(multiply(multiply(X_153,inverse(Y)),Y))) ),[1,0],$fot(X_153)]]) ).
cnf(refute_0_3459,plain,
( multiply(multiply(X_153,inverse(Y)),Y) != X_153
| inverse(multiply(multiply(X_153,inverse(Y)),Y)) = inverse(X_153) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_153,inverse(Y)),Y)),inverse(multiply(multiply(X_153,inverse(Y)),Y))) )],[refute_0_3457,refute_0_3458]) ).
cnf(refute_0_3460,plain,
inverse(multiply(multiply(X_153,inverse(Y)),Y)) = inverse(X_153),
inference(resolve,[$cnf( $equal(multiply(multiply(X_153,inverse(Y)),Y),X_153) )],[refute_0_3456,refute_0_3459]) ).
cnf(refute_0_3461,plain,
multiply(inverse(multiply(multiply(X_153,inverse(Y)),Y)),multiply(X_153,commutator(Y,X_153))) = multiply(inverse(multiply(multiply(X_153,inverse(Y)),Y)),multiply(X_153,commutator(Y,X_153))),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(multiply(X_153,inverse(Y)),Y)),multiply(X_153,commutator(Y,X_153))))]]) ).
cnf(refute_0_3462,plain,
( multiply(inverse(multiply(multiply(X_153,inverse(Y)),Y)),multiply(X_153,commutator(Y,X_153))) != multiply(inverse(multiply(multiply(X_153,inverse(Y)),Y)),multiply(X_153,commutator(Y,X_153)))
| inverse(multiply(multiply(X_153,inverse(Y)),Y)) != inverse(X_153)
| multiply(inverse(multiply(multiply(X_153,inverse(Y)),Y)),multiply(X_153,commutator(Y,X_153))) = multiply(inverse(X_153),multiply(X_153,commutator(Y,X_153))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(multiply(X_153,inverse(Y)),Y)),multiply(X_153,commutator(Y,X_153))),multiply(inverse(multiply(multiply(X_153,inverse(Y)),Y)),multiply(X_153,commutator(Y,X_153)))) ),[1,0],$fot(inverse(X_153))]]) ).
cnf(refute_0_3463,plain,
( inverse(multiply(multiply(X_153,inverse(Y)),Y)) != inverse(X_153)
| multiply(inverse(multiply(multiply(X_153,inverse(Y)),Y)),multiply(X_153,commutator(Y,X_153))) = multiply(inverse(X_153),multiply(X_153,commutator(Y,X_153))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_153,inverse(Y)),Y)),multiply(X_153,commutator(Y,X_153))),multiply(inverse(multiply(multiply(X_153,inverse(Y)),Y)),multiply(X_153,commutator(Y,X_153)))) )],[refute_0_3461,refute_0_3462]) ).
cnf(refute_0_3464,plain,
multiply(inverse(multiply(multiply(X_153,inverse(Y)),Y)),multiply(X_153,commutator(Y,X_153))) = multiply(inverse(X_153),multiply(X_153,commutator(Y,X_153))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_153,inverse(Y)),Y)),inverse(X_153)) )],[refute_0_3460,refute_0_3463]) ).
cnf(refute_0_3465,plain,
( multiply(inverse(X_153),multiply(X_153,commutator(Y,X_153))) != commutator(Y,X_153)
| multiply(inverse(multiply(multiply(X_153,inverse(Y)),Y)),multiply(X_153,commutator(Y,X_153))) != multiply(inverse(X_153),multiply(X_153,commutator(Y,X_153)))
| multiply(inverse(multiply(multiply(X_153,inverse(Y)),Y)),multiply(X_153,commutator(Y,X_153))) = commutator(Y,X_153) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(multiply(X_153,inverse(Y)),Y)),multiply(X_153,commutator(Y,X_153))))),bind(Y0,$fot(multiply(inverse(X_153),multiply(X_153,commutator(Y,X_153))))),bind(Z0,$fot(commutator(Y,X_153)))]]) ).
cnf(refute_0_3466,plain,
( multiply(inverse(X_153),multiply(X_153,commutator(Y,X_153))) != commutator(Y,X_153)
| multiply(inverse(multiply(multiply(X_153,inverse(Y)),Y)),multiply(X_153,commutator(Y,X_153))) = commutator(Y,X_153) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_153,inverse(Y)),Y)),multiply(X_153,commutator(Y,X_153))),multiply(inverse(X_153),multiply(X_153,commutator(Y,X_153)))) )],[refute_0_3464,refute_0_3465]) ).
cnf(refute_0_3467,plain,
multiply(inverse(multiply(multiply(X_153,inverse(Y)),Y)),multiply(X_153,commutator(Y,X_153))) = commutator(Y,X_153),
inference(resolve,[$cnf( $equal(multiply(inverse(X_153),multiply(X_153,commutator(Y,X_153))),commutator(Y,X_153)) )],[refute_0_3444,refute_0_3466]) ).
cnf(refute_0_3468,plain,
( multiply(inverse(multiply(multiply(X_153,inverse(Y)),Y)),multiply(X_153,commutator(Y,X_153))) != commutator(Y,X_153)
| commutator(Y,multiply(X_153,inverse(Y))) != multiply(inverse(multiply(multiply(X_153,inverse(Y)),Y)),multiply(X_153,commutator(Y,X_153)))
| commutator(Y,multiply(X_153,inverse(Y))) = commutator(Y,X_153) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(Y,multiply(X_153,inverse(Y))),multiply(inverse(multiply(multiply(X_153,inverse(Y)),Y)),multiply(X_153,commutator(Y,X_153)))) ),[1],$fot(commutator(Y,X_153))]]) ).
cnf(refute_0_3469,plain,
( commutator(Y,multiply(X_153,inverse(Y))) != multiply(inverse(multiply(multiply(X_153,inverse(Y)),Y)),multiply(X_153,commutator(Y,X_153)))
| commutator(Y,multiply(X_153,inverse(Y))) = commutator(Y,X_153) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_153,inverse(Y)),Y)),multiply(X_153,commutator(Y,X_153))),commutator(Y,X_153)) )],[refute_0_3467,refute_0_3468]) ).
cnf(refute_0_3470,plain,
commutator(Y,multiply(X_153,inverse(Y))) = commutator(Y,X_153),
inference(resolve,[$cnf( $equal(commutator(Y,multiply(X_153,inverse(Y))),multiply(inverse(multiply(multiply(X_153,inverse(Y)),Y)),multiply(X_153,commutator(Y,X_153)))) )],[refute_0_3443,refute_0_3469]) ).
cnf(refute_0_3471,plain,
commutator(X_171,multiply(X_173,inverse(X_171))) = commutator(X_171,X_173),
inference(subst,[],[refute_0_3470:[bind(Y,$fot(X_171)),bind(X_153,$fot(X_173))]]) ).
cnf(refute_0_3472,plain,
commutator(Y,commutator(X_171,multiply(X_173,inverse(X_171)))) = commutator(Y,commutator(X_171,multiply(X_173,inverse(X_171)))),
introduced(tautology,[refl,[$fot(commutator(Y,commutator(X_171,multiply(X_173,inverse(X_171)))))]]) ).
cnf(refute_0_3473,plain,
( commutator(Y,commutator(X_171,multiply(X_173,inverse(X_171)))) != commutator(Y,commutator(X_171,multiply(X_173,inverse(X_171))))
| commutator(X_171,multiply(X_173,inverse(X_171))) != commutator(X_171,X_173)
| commutator(Y,commutator(X_171,multiply(X_173,inverse(X_171)))) = commutator(Y,commutator(X_171,X_173)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(Y,commutator(X_171,multiply(X_173,inverse(X_171)))),commutator(Y,commutator(X_171,multiply(X_173,inverse(X_171))))) ),[1,1],$fot(commutator(X_171,X_173))]]) ).
cnf(refute_0_3474,plain,
( commutator(X_171,multiply(X_173,inverse(X_171))) != commutator(X_171,X_173)
| commutator(Y,commutator(X_171,multiply(X_173,inverse(X_171)))) = commutator(Y,commutator(X_171,X_173)) ),
inference(resolve,[$cnf( $equal(commutator(Y,commutator(X_171,multiply(X_173,inverse(X_171)))),commutator(Y,commutator(X_171,multiply(X_173,inverse(X_171))))) )],[refute_0_3472,refute_0_3473]) ).
cnf(refute_0_3475,plain,
commutator(Y,commutator(X_171,multiply(X_173,inverse(X_171)))) = commutator(Y,commutator(X_171,X_173)),
inference(resolve,[$cnf( $equal(commutator(X_171,multiply(X_173,inverse(X_171))),commutator(X_171,X_173)) )],[refute_0_3471,refute_0_3474]) ).
cnf(refute_0_3476,plain,
commutator(commutator(Y,X_171),multiply(X_173,inverse(X_171))) = commutator(Y,commutator(X_171,multiply(X_173,inverse(X_171)))),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(Y)),bind(Y,$fot(X_171)),bind(Z,$fot(multiply(X_173,inverse(X_171))))]]) ).
cnf(refute_0_3477,plain,
( commutator(Y,commutator(X_171,multiply(X_173,inverse(X_171)))) != commutator(Y,commutator(X_171,X_173))
| commutator(commutator(Y,X_171),multiply(X_173,inverse(X_171))) != commutator(Y,commutator(X_171,multiply(X_173,inverse(X_171))))
| commutator(commutator(Y,X_171),multiply(X_173,inverse(X_171))) = commutator(Y,commutator(X_171,X_173)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(commutator(Y,X_171),multiply(X_173,inverse(X_171))))),bind(Y0,$fot(commutator(Y,commutator(X_171,multiply(X_173,inverse(X_171)))))),bind(Z0,$fot(commutator(Y,commutator(X_171,X_173))))]]) ).
cnf(refute_0_3478,plain,
( commutator(Y,commutator(X_171,multiply(X_173,inverse(X_171)))) != commutator(Y,commutator(X_171,X_173))
| commutator(commutator(Y,X_171),multiply(X_173,inverse(X_171))) = commutator(Y,commutator(X_171,X_173)) ),
inference(resolve,[$cnf( $equal(commutator(commutator(Y,X_171),multiply(X_173,inverse(X_171))),commutator(Y,commutator(X_171,multiply(X_173,inverse(X_171))))) )],[refute_0_3476,refute_0_3477]) ).
cnf(refute_0_3479,plain,
commutator(commutator(Y,X_171),multiply(X_173,inverse(X_171))) = commutator(Y,commutator(X_171,X_173)),
inference(resolve,[$cnf( $equal(commutator(Y,commutator(X_171,multiply(X_173,inverse(X_171)))),commutator(Y,commutator(X_171,X_173))) )],[refute_0_3475,refute_0_3478]) ).
cnf(refute_0_3480,plain,
commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(X_171))) = commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(X_171))),
introduced(tautology,[refl,[$fot(commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(X_171))))]]) ).
cnf(refute_0_3481,plain,
( multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))) != commutator(Y,X_171)
| commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(X_171))) != commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(X_171)))
| commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(X_171))) = commutator(commutator(Y,X_171),multiply(X_173,inverse(X_171))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(X_171))),commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(X_171)))) ),[1,0],$fot(commutator(Y,X_171))]]) ).
cnf(refute_0_3482,plain,
( multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))) != commutator(Y,X_171)
| commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(X_171))) = commutator(commutator(Y,X_171),multiply(X_173,inverse(X_171))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(X_171))),commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(X_171)))) )],[refute_0_3480,refute_0_3481]) ).
cnf(refute_0_3483,plain,
commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(X_171))) = commutator(commutator(Y,X_171),multiply(X_173,inverse(X_171))),
inference(resolve,[$cnf( $equal(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),commutator(Y,X_171)) )],[refute_0_3432,refute_0_3482]) ).
cnf(refute_0_3484,plain,
( commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(X_171))) != commutator(commutator(Y,X_171),multiply(X_173,inverse(X_171)))
| commutator(commutator(Y,X_171),multiply(X_173,inverse(X_171))) != commutator(Y,commutator(X_171,X_173))
| commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(X_171))) = commutator(Y,commutator(X_171,X_173)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(X_171))))),bind(Y0,$fot(commutator(commutator(Y,X_171),multiply(X_173,inverse(X_171))))),bind(Z0,$fot(commutator(Y,commutator(X_171,X_173))))]]) ).
cnf(refute_0_3485,plain,
( commutator(commutator(Y,X_171),multiply(X_173,inverse(X_171))) != commutator(Y,commutator(X_171,X_173))
| commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(X_171))) = commutator(Y,commutator(X_171,X_173)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(X_171))),commutator(commutator(Y,X_171),multiply(X_173,inverse(X_171)))) )],[refute_0_3483,refute_0_3484]) ).
cnf(refute_0_3486,plain,
commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(X_171))) = commutator(Y,commutator(X_171,X_173)),
inference(resolve,[$cnf( $equal(commutator(commutator(Y,X_171),multiply(X_173,inverse(X_171))),commutator(Y,commutator(X_171,X_173))) )],[refute_0_3479,refute_0_3485]) ).
cnf(refute_0_3487,plain,
( commutator(Y,commutator(X_171,multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y)))))) != commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(X_171)))
| commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(X_171))) != commutator(Y,commutator(X_171,X_173))
| commutator(Y,commutator(X_171,multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y)))))) = commutator(Y,commutator(X_171,X_173)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(Y,commutator(X_171,multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y)))))),commutator(Y,commutator(X_171,X_173))) ),[0],$fot(commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(X_171))))]]) ).
cnf(refute_0_3488,plain,
( commutator(Y,commutator(X_171,multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y)))))) != commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(X_171)))
| commutator(Y,commutator(X_171,multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y)))))) = commutator(Y,commutator(X_171,X_173)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(X_171))),commutator(Y,commutator(X_171,X_173))) )],[refute_0_3486,refute_0_3487]) ).
cnf(refute_0_3489,plain,
( commutator(commutator(Y,X_171),multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y))))) != commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(X_171)))
| commutator(Y,commutator(X_171,multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y)))))) = commutator(Y,commutator(X_171,X_173)) ),
inference(resolve,[$cnf( $equal(commutator(Y,commutator(X_171,multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y)))))),commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(X_171)))) )],[refute_0_3438,refute_0_3488]) ).
cnf(refute_0_3490,plain,
commutator(Y,commutator(X_171,multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y)))))) = commutator(Y,commutator(X_171,X_173)),
inference(resolve,[$cnf( $equal(commutator(commutator(Y,X_171),multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y))))),commutator(multiply(X_171,inverse(multiply(X_171,commutator(X_171,Y)))),multiply(X_173,inverse(X_171)))) )],[refute_0_3435,refute_0_3489]) ).
cnf(refute_0_3491,plain,
inverse(commutator(X_171,Y)) = commutator(Y,X_171),
inference(subst,[],[refute_0_386:[bind(X,$fot(Y)),bind(Y,$fot(X_171))]]) ).
cnf(refute_0_3492,plain,
multiply(X_173,inverse(commutator(X_171,Y))) = multiply(X_173,inverse(commutator(X_171,Y))),
introduced(tautology,[refl,[$fot(multiply(X_173,inverse(commutator(X_171,Y))))]]) ).
cnf(refute_0_3493,plain,
( multiply(X_173,inverse(commutator(X_171,Y))) != multiply(X_173,inverse(commutator(X_171,Y)))
| inverse(commutator(X_171,Y)) != commutator(Y,X_171)
| multiply(X_173,inverse(commutator(X_171,Y))) = multiply(X_173,commutator(Y,X_171)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_173,inverse(commutator(X_171,Y))),multiply(X_173,inverse(commutator(X_171,Y)))) ),[1,1],$fot(commutator(Y,X_171))]]) ).
cnf(refute_0_3494,plain,
( inverse(commutator(X_171,Y)) != commutator(Y,X_171)
| multiply(X_173,inverse(commutator(X_171,Y))) = multiply(X_173,commutator(Y,X_171)) ),
inference(resolve,[$cnf( $equal(multiply(X_173,inverse(commutator(X_171,Y))),multiply(X_173,inverse(commutator(X_171,Y)))) )],[refute_0_3492,refute_0_3493]) ).
cnf(refute_0_3495,plain,
multiply(X_173,inverse(commutator(X_171,Y))) = multiply(X_173,commutator(Y,X_171)),
inference(resolve,[$cnf( $equal(inverse(commutator(X_171,Y)),commutator(Y,X_171)) )],[refute_0_3491,refute_0_3494]) ).
cnf(refute_0_3496,plain,
commutator(X_171,multiply(X_173,inverse(commutator(X_171,Y)))) = commutator(X_171,multiply(X_173,inverse(commutator(X_171,Y)))),
introduced(tautology,[refl,[$fot(commutator(X_171,multiply(X_173,inverse(commutator(X_171,Y)))))]]) ).
cnf(refute_0_3497,plain,
( multiply(X_173,inverse(commutator(X_171,Y))) != multiply(X_173,commutator(Y,X_171))
| commutator(X_171,multiply(X_173,inverse(commutator(X_171,Y)))) != commutator(X_171,multiply(X_173,inverse(commutator(X_171,Y))))
| commutator(X_171,multiply(X_173,inverse(commutator(X_171,Y)))) = commutator(X_171,multiply(X_173,commutator(Y,X_171))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_171,multiply(X_173,inverse(commutator(X_171,Y)))),commutator(X_171,multiply(X_173,inverse(commutator(X_171,Y))))) ),[1,1],$fot(multiply(X_173,commutator(Y,X_171)))]]) ).
cnf(refute_0_3498,plain,
( multiply(X_173,inverse(commutator(X_171,Y))) != multiply(X_173,commutator(Y,X_171))
| commutator(X_171,multiply(X_173,inverse(commutator(X_171,Y)))) = commutator(X_171,multiply(X_173,commutator(Y,X_171))) ),
inference(resolve,[$cnf( $equal(commutator(X_171,multiply(X_173,inverse(commutator(X_171,Y)))),commutator(X_171,multiply(X_173,inverse(commutator(X_171,Y))))) )],[refute_0_3496,refute_0_3497]) ).
cnf(refute_0_3499,plain,
commutator(X_171,multiply(X_173,inverse(commutator(X_171,Y)))) = commutator(X_171,multiply(X_173,commutator(Y,X_171))),
inference(resolve,[$cnf( $equal(multiply(X_173,inverse(commutator(X_171,Y))),multiply(X_173,commutator(Y,X_171))) )],[refute_0_3495,refute_0_3498]) ).
cnf(refute_0_3500,plain,
commutator(X_244,multiply(X_246,inverse(X_10))) = multiply(X_244,multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,multiply(inverse(X_10),X_244)))))),
inference(subst,[],[refute_0_3260:[bind(X_10,$fot(X_244)),bind(X_161,$fot(inverse(X_10))),bind(X_162,$fot(X_246))]]) ).
cnf(refute_0_3501,plain,
inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10)) = multiply(inverse(X_10),inverse(multiply(X_246,multiply(inverse(X_10),X_244)))),
inference(subst,[],[refute_0_234:[bind(X_58,$fot(multiply(X_246,multiply(inverse(X_10),X_244))))]]) ).
cnf(refute_0_3502,plain,
( inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10)) != multiply(inverse(X_10),inverse(multiply(X_246,multiply(inverse(X_10),X_244))))
| multiply(inverse(X_10),inverse(multiply(X_246,multiply(inverse(X_10),X_244)))) = inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10)))),bind(Y0,$fot(multiply(inverse(X_10),inverse(multiply(X_246,multiply(inverse(X_10),X_244))))))]]) ).
cnf(refute_0_3503,plain,
multiply(inverse(X_10),inverse(multiply(X_246,multiply(inverse(X_10),X_244)))) = inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10)),multiply(inverse(X_10),inverse(multiply(X_246,multiply(inverse(X_10),X_244))))) )],[refute_0_3501,refute_0_3502]) ).
cnf(refute_0_3504,plain,
( multiply(inverse(X_10),inverse(multiply(X_246,multiply(inverse(X_10),X_244)))) != inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10))
| commutator(X_244,multiply(X_246,inverse(X_10))) != multiply(X_244,multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,multiply(inverse(X_10),X_244))))))
| commutator(X_244,multiply(X_246,inverse(X_10))) = multiply(X_244,multiply(X_246,inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_244,multiply(X_246,inverse(X_10))),multiply(X_244,multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,multiply(inverse(X_10),X_244))))))) ),[1,1,1],$fot(inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10)))]]) ).
cnf(refute_0_3505,plain,
( commutator(X_244,multiply(X_246,inverse(X_10))) != multiply(X_244,multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,multiply(inverse(X_10),X_244))))))
| commutator(X_244,multiply(X_246,inverse(X_10))) = multiply(X_244,multiply(X_246,inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),inverse(multiply(X_246,multiply(inverse(X_10),X_244)))),inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10))) )],[refute_0_3503,refute_0_3504]) ).
cnf(refute_0_3506,plain,
commutator(X_244,multiply(X_246,inverse(X_10))) = multiply(X_244,multiply(X_246,inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10)))),
inference(resolve,[$cnf( $equal(commutator(X_244,multiply(X_246,inverse(X_10))),multiply(X_244,multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,multiply(inverse(X_10),X_244))))))) )],[refute_0_3500,refute_0_3505]) ).
cnf(refute_0_3507,plain,
commutator(X_244,multiply(X_246,inverse(multiply(X_244,X_10)))) = multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,multiply(inverse(multiply(X_244,X_10)),X_244)))))),
inference(subst,[],[refute_0_3260:[bind(X_10,$fot(X_244)),bind(X_161,$fot(inverse(multiply(X_244,X_10)))),bind(X_162,$fot(X_246))]]) ).
cnf(refute_0_3508,plain,
multiply(inverse(multiply(X_244,X_10)),X_244) = inverse(X_10),
inference(subst,[],[refute_0_208:[bind(X_58,$fot(X_244))]]) ).
cnf(refute_0_3509,plain,
( multiply(inverse(multiply(X_244,X_10)),X_244) != inverse(X_10)
| commutator(X_244,multiply(X_246,inverse(multiply(X_244,X_10)))) != multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,multiply(inverse(multiply(X_244,X_10)),X_244))))))
| commutator(X_244,multiply(X_246,inverse(multiply(X_244,X_10)))) = multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10)))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_244,multiply(X_246,inverse(multiply(X_244,X_10)))),multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,multiply(inverse(multiply(X_244,X_10)),X_244))))))) ),[1,1,1,1,0,1],$fot(inverse(X_10))]]) ).
cnf(refute_0_3510,plain,
( commutator(X_244,multiply(X_246,inverse(multiply(X_244,X_10)))) != multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,multiply(inverse(multiply(X_244,X_10)),X_244))))))
| commutator(X_244,multiply(X_246,inverse(multiply(X_244,X_10)))) = multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10)))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_244,X_10)),X_244),inverse(X_10)) )],[refute_0_3508,refute_0_3509]) ).
cnf(refute_0_3511,plain,
commutator(X_244,multiply(X_246,inverse(multiply(X_244,X_10)))) = multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10)))))),
inference(resolve,[$cnf( $equal(commutator(X_244,multiply(X_246,inverse(multiply(X_244,X_10)))),multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,multiply(inverse(multiply(X_244,X_10)),X_244))))))) )],[refute_0_3507,refute_0_3510]) ).
cnf(refute_0_3512,plain,
multiply(multiply(X_246,inverse(X_10)),multiply(X_244,X_10)) = multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10))),
inference(subst,[],[associativity:[bind(X,$fot(X_246)),bind(Y,$fot(inverse(X_10))),bind(Z,$fot(multiply(X_244,X_10)))]]) ).
cnf(refute_0_3513,plain,
inverse(multiply(multiply(X_246,inverse(X_10)),multiply(X_244,X_10))) = inverse(multiply(multiply(X_246,inverse(X_10)),multiply(X_244,X_10))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_246,inverse(X_10)),multiply(X_244,X_10))))]]) ).
cnf(refute_0_3514,plain,
( multiply(multiply(X_246,inverse(X_10)),multiply(X_244,X_10)) != multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))
| inverse(multiply(multiply(X_246,inverse(X_10)),multiply(X_244,X_10))) != inverse(multiply(multiply(X_246,inverse(X_10)),multiply(X_244,X_10)))
| inverse(multiply(multiply(X_246,inverse(X_10)),multiply(X_244,X_10))) = inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_246,inverse(X_10)),multiply(X_244,X_10))),inverse(multiply(multiply(X_246,inverse(X_10)),multiply(X_244,X_10)))) ),[1,0],$fot(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10))))]]) ).
cnf(refute_0_3515,plain,
( multiply(multiply(X_246,inverse(X_10)),multiply(X_244,X_10)) != multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))
| inverse(multiply(multiply(X_246,inverse(X_10)),multiply(X_244,X_10))) = inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_246,inverse(X_10)),multiply(X_244,X_10))),inverse(multiply(multiply(X_246,inverse(X_10)),multiply(X_244,X_10)))) )],[refute_0_3513,refute_0_3514]) ).
cnf(refute_0_3516,plain,
inverse(multiply(multiply(X_246,inverse(X_10)),multiply(X_244,X_10))) = inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_246,inverse(X_10)),multiply(X_244,X_10)),multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))) )],[refute_0_3512,refute_0_3515]) ).
cnf(refute_0_3517,plain,
multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10)))) = inverse(multiply(multiply(X_246,inverse(X_10)),multiply(X_244,X_10))),
inference(subst,[],[refute_0_257:[bind(X_10,$fot(multiply(X_244,X_10))),bind(X_58,$fot(multiply(X_246,inverse(X_10))))]]) ).
cnf(refute_0_3518,plain,
( multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10)))) != inverse(multiply(multiply(X_246,inverse(X_10)),multiply(X_244,X_10)))
| inverse(multiply(multiply(X_246,inverse(X_10)),multiply(X_244,X_10))) != inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10))))
| multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10)))) = inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10)))))),bind(Y0,$fot(inverse(multiply(multiply(X_246,inverse(X_10)),multiply(X_244,X_10))))),bind(Z0,$fot(inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10))))))]]) ).
cnf(refute_0_3519,plain,
( inverse(multiply(multiply(X_246,inverse(X_10)),multiply(X_244,X_10))) != inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10))))
| multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10)))) = inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10)))),inverse(multiply(multiply(X_246,inverse(X_10)),multiply(X_244,X_10)))) )],[refute_0_3517,refute_0_3518]) ).
cnf(refute_0_3520,plain,
multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10)))) = inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_246,inverse(X_10)),multiply(X_244,X_10))),inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10))))) )],[refute_0_3516,refute_0_3519]) ).
cnf(refute_0_3521,plain,
multiply(X_246,multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10))))) = multiply(X_246,multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10))))),
introduced(tautology,[refl,[$fot(multiply(X_246,multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10))))))]]) ).
cnf(refute_0_3522,plain,
( multiply(X_246,multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10))))) != multiply(X_246,multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10)))))
| multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10)))) != inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10))))
| multiply(X_246,multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10))))) = multiply(X_246,inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_246,multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10))))),multiply(X_246,multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10)))))) ),[1,1],$fot(inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))))]]) ).
cnf(refute_0_3523,plain,
( multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10)))) != inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10))))
| multiply(X_246,multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10))))) = multiply(X_246,inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10))))) ),
inference(resolve,[$cnf( $equal(multiply(X_246,multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10))))),multiply(X_246,multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10)))))) )],[refute_0_3521,refute_0_3522]) ).
cnf(refute_0_3524,plain,
multiply(X_246,multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10))))) = multiply(X_246,inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10))))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10)))),inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10))))) )],[refute_0_3520,refute_0_3523]) ).
cnf(refute_0_3525,plain,
multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10)))))) = multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10)))))),
introduced(tautology,[refl,[$fot(multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10)))))))]]) ).
cnf(refute_0_3526,plain,
( multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10)))))) != multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10))))))
| multiply(X_246,multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10))))) != multiply(X_246,inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))))
| multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10)))))) = multiply(X_244,multiply(X_246,inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10)))))),multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10))))))) ),[1,1],$fot(multiply(X_246,inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10))))))]]) ).
cnf(refute_0_3527,plain,
( multiply(X_246,multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10))))) != multiply(X_246,inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))))
| multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10)))))) = multiply(X_244,multiply(X_246,inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))))) ),
inference(resolve,[$cnf( $equal(multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10)))))),multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10))))))) )],[refute_0_3525,refute_0_3526]) ).
cnf(refute_0_3528,plain,
multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10)))))) = multiply(X_244,multiply(X_246,inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))))),
inference(resolve,[$cnf( $equal(multiply(X_246,multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10))))),multiply(X_246,inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))))) )],[refute_0_3524,refute_0_3527]) ).
cnf(refute_0_3529,plain,
( multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10)))))) != multiply(X_244,multiply(X_246,inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10))))))
| commutator(X_244,multiply(X_246,inverse(multiply(X_244,X_10)))) != multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10))))))
| commutator(X_244,multiply(X_246,inverse(multiply(X_244,X_10)))) = multiply(X_244,multiply(X_246,inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_244,multiply(X_246,inverse(multiply(X_244,X_10)))),multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10))))))) ),[1],$fot(multiply(X_244,multiply(X_246,inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))))))]]) ).
cnf(refute_0_3530,plain,
( commutator(X_244,multiply(X_246,inverse(multiply(X_244,X_10)))) != multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10))))))
| commutator(X_244,multiply(X_246,inverse(multiply(X_244,X_10)))) = multiply(X_244,multiply(X_246,inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))))) ),
inference(resolve,[$cnf( $equal(multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10)))))),multiply(X_244,multiply(X_246,inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10))))))) )],[refute_0_3528,refute_0_3529]) ).
cnf(refute_0_3531,plain,
commutator(X_244,multiply(X_246,inverse(multiply(X_244,X_10)))) = multiply(X_244,multiply(X_246,inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))))),
inference(resolve,[$cnf( $equal(commutator(X_244,multiply(X_246,inverse(multiply(X_244,X_10)))),multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_244,X_10)),inverse(multiply(X_246,inverse(X_10))))))) )],[refute_0_3511,refute_0_3530]) ).
cnf(refute_0_3532,plain,
( commutator(X_244,multiply(X_246,inverse(multiply(X_244,X_10)))) != multiply(X_244,multiply(X_246,inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10))))))
| multiply(X_244,multiply(X_246,inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))))) = commutator(X_244,multiply(X_246,inverse(multiply(X_244,X_10)))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_244,multiply(X_246,inverse(multiply(X_244,X_10)))))),bind(Y0,$fot(multiply(X_244,multiply(X_246,inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10))))))))]]) ).
cnf(refute_0_3533,plain,
multiply(X_244,multiply(X_246,inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))))) = commutator(X_244,multiply(X_246,inverse(multiply(X_244,X_10)))),
inference(resolve,[$cnf( $equal(commutator(X_244,multiply(X_246,inverse(multiply(X_244,X_10)))),multiply(X_244,multiply(X_246,inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10))))))) )],[refute_0_3531,refute_0_3532]) ).
cnf(refute_0_3534,plain,
multiply(multiply(inverse(X_10),X_244),X_10) = multiply(inverse(X_10),multiply(X_244,X_10)),
inference(subst,[],[associativity:[bind(X,$fot(inverse(X_10))),bind(Y,$fot(X_244)),bind(Z,$fot(X_10))]]) ).
cnf(refute_0_3535,plain,
multiply(X_246,multiply(multiply(inverse(X_10),X_244),X_10)) = multiply(X_246,multiply(multiply(inverse(X_10),X_244),X_10)),
introduced(tautology,[refl,[$fot(multiply(X_246,multiply(multiply(inverse(X_10),X_244),X_10)))]]) ).
cnf(refute_0_3536,plain,
( multiply(X_246,multiply(multiply(inverse(X_10),X_244),X_10)) != multiply(X_246,multiply(multiply(inverse(X_10),X_244),X_10))
| multiply(multiply(inverse(X_10),X_244),X_10) != multiply(inverse(X_10),multiply(X_244,X_10))
| multiply(X_246,multiply(multiply(inverse(X_10),X_244),X_10)) = multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_246,multiply(multiply(inverse(X_10),X_244),X_10)),multiply(X_246,multiply(multiply(inverse(X_10),X_244),X_10))) ),[1,1],$fot(multiply(inverse(X_10),multiply(X_244,X_10)))]]) ).
cnf(refute_0_3537,plain,
( multiply(multiply(inverse(X_10),X_244),X_10) != multiply(inverse(X_10),multiply(X_244,X_10))
| multiply(X_246,multiply(multiply(inverse(X_10),X_244),X_10)) = multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10))) ),
inference(resolve,[$cnf( $equal(multiply(X_246,multiply(multiply(inverse(X_10),X_244),X_10)),multiply(X_246,multiply(multiply(inverse(X_10),X_244),X_10))) )],[refute_0_3535,refute_0_3536]) ).
cnf(refute_0_3538,plain,
multiply(X_246,multiply(multiply(inverse(X_10),X_244),X_10)) = multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_10),X_244),X_10),multiply(inverse(X_10),multiply(X_244,X_10))) )],[refute_0_3534,refute_0_3537]) ).
cnf(refute_0_3539,plain,
multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10) = multiply(X_246,multiply(multiply(inverse(X_10),X_244),X_10)),
inference(subst,[],[associativity:[bind(X,$fot(X_246)),bind(Y,$fot(multiply(inverse(X_10),X_244))),bind(Z,$fot(X_10))]]) ).
cnf(refute_0_3540,plain,
( multiply(X_246,multiply(multiply(inverse(X_10),X_244),X_10)) != multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))
| multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10) != multiply(X_246,multiply(multiply(inverse(X_10),X_244),X_10))
| multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10) = multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10))),bind(Y0,$fot(multiply(X_246,multiply(multiply(inverse(X_10),X_244),X_10)))),bind(Z0,$fot(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))))]]) ).
cnf(refute_0_3541,plain,
( multiply(X_246,multiply(multiply(inverse(X_10),X_244),X_10)) != multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))
| multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10) = multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10),multiply(X_246,multiply(multiply(inverse(X_10),X_244),X_10))) )],[refute_0_3539,refute_0_3540]) ).
cnf(refute_0_3542,plain,
multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10) = multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10))),
inference(resolve,[$cnf( $equal(multiply(X_246,multiply(multiply(inverse(X_10),X_244),X_10)),multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))) )],[refute_0_3538,refute_0_3541]) ).
cnf(refute_0_3543,plain,
inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10)) = inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10)),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10)))]]) ).
cnf(refute_0_3544,plain,
( multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10) != multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))
| inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10)) != inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10))
| inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10)) = inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10)),inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10))) ),[1,0],$fot(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10))))]]) ).
cnf(refute_0_3545,plain,
( multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10) != multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))
| inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10)) = inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10)),inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10))) )],[refute_0_3543,refute_0_3544]) ).
cnf(refute_0_3546,plain,
inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10)) = inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10),multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))) )],[refute_0_3542,refute_0_3545]) ).
cnf(refute_0_3547,plain,
multiply(X_246,inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10))) = multiply(X_246,inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10))),
introduced(tautology,[refl,[$fot(multiply(X_246,inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10))))]]) ).
cnf(refute_0_3548,plain,
( multiply(X_246,inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10))) != multiply(X_246,inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10)))
| inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10)) != inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10))))
| multiply(X_246,inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10))) = multiply(X_246,inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_246,inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10))),multiply(X_246,inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10)))) ),[1,1],$fot(inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))))]]) ).
cnf(refute_0_3549,plain,
( inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10)) != inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10))))
| multiply(X_246,inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10))) = multiply(X_246,inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10))))) ),
inference(resolve,[$cnf( $equal(multiply(X_246,inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10))),multiply(X_246,inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10)))) )],[refute_0_3547,refute_0_3548]) ).
cnf(refute_0_3550,plain,
multiply(X_246,inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10))) = multiply(X_246,inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10))))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10)),inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10))))) )],[refute_0_3546,refute_0_3549]) ).
cnf(refute_0_3551,plain,
multiply(X_244,multiply(X_246,inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10)))) = multiply(X_244,multiply(X_246,inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10)))),
introduced(tautology,[refl,[$fot(multiply(X_244,multiply(X_246,inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10)))))]]) ).
cnf(refute_0_3552,plain,
( multiply(X_244,multiply(X_246,inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10)))) != multiply(X_244,multiply(X_246,inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10))))
| multiply(X_246,inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10))) != multiply(X_246,inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))))
| multiply(X_244,multiply(X_246,inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10)))) = multiply(X_244,multiply(X_246,inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_244,multiply(X_246,inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10)))),multiply(X_244,multiply(X_246,inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10))))) ),[1,1],$fot(multiply(X_246,inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10))))))]]) ).
cnf(refute_0_3553,plain,
( multiply(X_246,inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10))) != multiply(X_246,inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))))
| multiply(X_244,multiply(X_246,inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10)))) = multiply(X_244,multiply(X_246,inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))))) ),
inference(resolve,[$cnf( $equal(multiply(X_244,multiply(X_246,inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10)))),multiply(X_244,multiply(X_246,inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10))))) )],[refute_0_3551,refute_0_3552]) ).
cnf(refute_0_3554,plain,
multiply(X_244,multiply(X_246,inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10)))) = multiply(X_244,multiply(X_246,inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))))),
inference(resolve,[$cnf( $equal(multiply(X_246,inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10))),multiply(X_246,inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))))) )],[refute_0_3550,refute_0_3553]) ).
cnf(refute_0_3555,plain,
( multiply(X_244,multiply(X_246,inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))))) != commutator(X_244,multiply(X_246,inverse(multiply(X_244,X_10))))
| multiply(X_244,multiply(X_246,inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10)))) != multiply(X_244,multiply(X_246,inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10))))))
| multiply(X_244,multiply(X_246,inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10)))) = commutator(X_244,multiply(X_246,inverse(multiply(X_244,X_10)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_244,multiply(X_246,inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10)))))),bind(Y0,$fot(multiply(X_244,multiply(X_246,inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))))))),bind(Z0,$fot(commutator(X_244,multiply(X_246,inverse(multiply(X_244,X_10))))))]]) ).
cnf(refute_0_3556,plain,
( multiply(X_244,multiply(X_246,inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))))) != commutator(X_244,multiply(X_246,inverse(multiply(X_244,X_10))))
| multiply(X_244,multiply(X_246,inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10)))) = commutator(X_244,multiply(X_246,inverse(multiply(X_244,X_10)))) ),
inference(resolve,[$cnf( $equal(multiply(X_244,multiply(X_246,inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10)))),multiply(X_244,multiply(X_246,inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10))))))) )],[refute_0_3554,refute_0_3555]) ).
cnf(refute_0_3557,plain,
multiply(X_244,multiply(X_246,inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10)))) = commutator(X_244,multiply(X_246,inverse(multiply(X_244,X_10)))),
inference(resolve,[$cnf( $equal(multiply(X_244,multiply(X_246,inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_244,X_10)))))),commutator(X_244,multiply(X_246,inverse(multiply(X_244,X_10))))) )],[refute_0_3533,refute_0_3556]) ).
cnf(refute_0_3558,plain,
( multiply(X_244,multiply(X_246,inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10)))) != commutator(X_244,multiply(X_246,inverse(multiply(X_244,X_10))))
| commutator(X_244,multiply(X_246,inverse(X_10))) != multiply(X_244,multiply(X_246,inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10))))
| commutator(X_244,multiply(X_246,inverse(X_10))) = commutator(X_244,multiply(X_246,inverse(multiply(X_244,X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_244,multiply(X_246,inverse(X_10))),multiply(X_244,multiply(X_246,inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10))))) ),[1],$fot(commutator(X_244,multiply(X_246,inverse(multiply(X_244,X_10)))))]]) ).
cnf(refute_0_3559,plain,
( commutator(X_244,multiply(X_246,inverse(X_10))) != multiply(X_244,multiply(X_246,inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10))))
| commutator(X_244,multiply(X_246,inverse(X_10))) = commutator(X_244,multiply(X_246,inverse(multiply(X_244,X_10)))) ),
inference(resolve,[$cnf( $equal(multiply(X_244,multiply(X_246,inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10)))),commutator(X_244,multiply(X_246,inverse(multiply(X_244,X_10))))) )],[refute_0_3557,refute_0_3558]) ).
cnf(refute_0_3560,plain,
commutator(X_244,multiply(X_246,inverse(X_10))) = commutator(X_244,multiply(X_246,inverse(multiply(X_244,X_10)))),
inference(resolve,[$cnf( $equal(commutator(X_244,multiply(X_246,inverse(X_10))),multiply(X_244,multiply(X_246,inverse(multiply(multiply(X_246,multiply(inverse(X_10),X_244)),X_10))))) )],[refute_0_3506,refute_0_3559]) ).
cnf(refute_0_3561,plain,
( commutator(X_244,multiply(X_246,inverse(X_10))) != commutator(X_244,multiply(X_246,inverse(multiply(X_244,X_10))))
| commutator(X_244,multiply(X_246,inverse(multiply(X_244,X_10)))) = commutator(X_244,multiply(X_246,inverse(X_10))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_244,multiply(X_246,inverse(X_10))))),bind(Y0,$fot(commutator(X_244,multiply(X_246,inverse(multiply(X_244,X_10))))))]]) ).
cnf(refute_0_3562,plain,
commutator(X_244,multiply(X_246,inverse(multiply(X_244,X_10)))) = commutator(X_244,multiply(X_246,inverse(X_10))),
inference(resolve,[$cnf( $equal(commutator(X_244,multiply(X_246,inverse(X_10))),commutator(X_244,multiply(X_246,inverse(multiply(X_244,X_10))))) )],[refute_0_3560,refute_0_3561]) ).
cnf(refute_0_3563,plain,
commutator(X_171,multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y))))) = commutator(X_171,multiply(X_173,inverse(commutator(X_171,Y)))),
inference(subst,[],[refute_0_3562:[bind(X_10,$fot(commutator(X_171,Y))),bind(X_244,$fot(X_171)),bind(X_246,$fot(X_173))]]) ).
cnf(refute_0_3564,plain,
( commutator(X_171,multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y))))) != commutator(X_171,multiply(X_173,inverse(commutator(X_171,Y))))
| commutator(X_171,multiply(X_173,inverse(commutator(X_171,Y)))) != commutator(X_171,multiply(X_173,commutator(Y,X_171)))
| commutator(X_171,multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y))))) = commutator(X_171,multiply(X_173,commutator(Y,X_171))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(X_171,multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y))))))),bind(Y0,$fot(commutator(X_171,multiply(X_173,inverse(commutator(X_171,Y)))))),bind(Z0,$fot(commutator(X_171,multiply(X_173,commutator(Y,X_171)))))]]) ).
cnf(refute_0_3565,plain,
( commutator(X_171,multiply(X_173,inverse(commutator(X_171,Y)))) != commutator(X_171,multiply(X_173,commutator(Y,X_171)))
| commutator(X_171,multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y))))) = commutator(X_171,multiply(X_173,commutator(Y,X_171))) ),
inference(resolve,[$cnf( $equal(commutator(X_171,multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y))))),commutator(X_171,multiply(X_173,inverse(commutator(X_171,Y))))) )],[refute_0_3563,refute_0_3564]) ).
cnf(refute_0_3566,plain,
commutator(X_171,multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y))))) = commutator(X_171,multiply(X_173,commutator(Y,X_171))),
inference(resolve,[$cnf( $equal(commutator(X_171,multiply(X_173,inverse(commutator(X_171,Y)))),commutator(X_171,multiply(X_173,commutator(Y,X_171)))) )],[refute_0_3499,refute_0_3565]) ).
cnf(refute_0_3567,plain,
commutator(Y,commutator(X_171,multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y)))))) = commutator(Y,commutator(X_171,multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y)))))),
introduced(tautology,[refl,[$fot(commutator(Y,commutator(X_171,multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y)))))))]]) ).
cnf(refute_0_3568,plain,
( commutator(Y,commutator(X_171,multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y)))))) != commutator(Y,commutator(X_171,multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y))))))
| commutator(X_171,multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y))))) != commutator(X_171,multiply(X_173,commutator(Y,X_171)))
| commutator(Y,commutator(X_171,multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y)))))) = commutator(Y,commutator(X_171,multiply(X_173,commutator(Y,X_171)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(Y,commutator(X_171,multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y)))))),commutator(Y,commutator(X_171,multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y))))))) ),[1,1],$fot(commutator(X_171,multiply(X_173,commutator(Y,X_171))))]]) ).
cnf(refute_0_3569,plain,
( commutator(X_171,multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y))))) != commutator(X_171,multiply(X_173,commutator(Y,X_171)))
| commutator(Y,commutator(X_171,multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y)))))) = commutator(Y,commutator(X_171,multiply(X_173,commutator(Y,X_171)))) ),
inference(resolve,[$cnf( $equal(commutator(Y,commutator(X_171,multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y)))))),commutator(Y,commutator(X_171,multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y))))))) )],[refute_0_3567,refute_0_3568]) ).
cnf(refute_0_3570,plain,
commutator(Y,commutator(X_171,multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y)))))) = commutator(Y,commutator(X_171,multiply(X_173,commutator(Y,X_171)))),
inference(resolve,[$cnf( $equal(commutator(X_171,multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y))))),commutator(X_171,multiply(X_173,commutator(Y,X_171)))) )],[refute_0_3566,refute_0_3569]) ).
cnf(refute_0_3571,plain,
( commutator(Y,commutator(X_171,multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y)))))) != commutator(Y,commutator(X_171,X_173))
| commutator(Y,commutator(X_171,multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y)))))) != commutator(Y,commutator(X_171,multiply(X_173,commutator(Y,X_171))))
| commutator(Y,commutator(X_171,multiply(X_173,commutator(Y,X_171)))) = commutator(Y,commutator(X_171,X_173)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(Y,commutator(X_171,multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y)))))),commutator(Y,commutator(X_171,X_173))) ),[0],$fot(commutator(Y,commutator(X_171,multiply(X_173,commutator(Y,X_171)))))]]) ).
cnf(refute_0_3572,plain,
( commutator(Y,commutator(X_171,multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y)))))) != commutator(Y,commutator(X_171,X_173))
| commutator(Y,commutator(X_171,multiply(X_173,commutator(Y,X_171)))) = commutator(Y,commutator(X_171,X_173)) ),
inference(resolve,[$cnf( $equal(commutator(Y,commutator(X_171,multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y)))))),commutator(Y,commutator(X_171,multiply(X_173,commutator(Y,X_171))))) )],[refute_0_3570,refute_0_3571]) ).
cnf(refute_0_3573,plain,
commutator(Y,commutator(X_171,multiply(X_173,commutator(Y,X_171)))) = commutator(Y,commutator(X_171,X_173)),
inference(resolve,[$cnf( $equal(commutator(Y,commutator(X_171,multiply(X_173,inverse(multiply(X_171,commutator(X_171,Y)))))),commutator(Y,commutator(X_171,X_173))) )],[refute_0_3490,refute_0_3572]) ).
cnf(refute_0_3574,plain,
commutator(X_66,commutator(X_65,multiply(X_162,commutator(X_66,X_65)))) = commutator(X_66,commutator(X_65,X_162)),
inference(subst,[],[refute_0_3573:[bind(Y,$fot(X_66)),bind(X_171,$fot(X_65)),bind(X_173,$fot(X_162))]]) ).
cnf(refute_0_3575,plain,
( commutator(X_66,commutator(X_65,multiply(X_162,commutator(X_66,X_65)))) != multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),X_162)
| commutator(X_66,commutator(X_65,multiply(X_162,commutator(X_66,X_65)))) != commutator(X_66,commutator(X_65,X_162))
| commutator(X_66,commutator(X_65,X_162)) = multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),X_162) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_66,commutator(X_65,multiply(X_162,commutator(X_66,X_65)))),multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),X_162)) ),[0],$fot(commutator(X_66,commutator(X_65,X_162)))]]) ).
cnf(refute_0_3576,plain,
( commutator(X_66,commutator(X_65,multiply(X_162,commutator(X_66,X_65)))) != multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),X_162)
| commutator(X_66,commutator(X_65,X_162)) = multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),X_162) ),
inference(resolve,[$cnf( $equal(commutator(X_66,commutator(X_65,multiply(X_162,commutator(X_66,X_65)))),commutator(X_66,commutator(X_65,X_162))) )],[refute_0_3574,refute_0_3575]) ).
cnf(refute_0_3577,plain,
commutator(X_66,commutator(X_65,X_162)) = multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),X_162),
inference(resolve,[$cnf( $equal(commutator(X_66,commutator(X_65,multiply(X_162,commutator(X_66,X_65)))),multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),X_162)) )],[refute_0_3428,refute_0_3576]) ).
cnf(refute_0_3578,plain,
( commutator(X_66,commutator(X_65,X_162)) != multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),X_162)
| multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),X_162) = commutator(X_66,commutator(X_65,X_162)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_66,commutator(X_65,X_162)))),bind(Y0,$fot(multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),X_162)))]]) ).
cnf(refute_0_3579,plain,
multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),X_162) = commutator(X_66,commutator(X_65,X_162)),
inference(resolve,[$cnf( $equal(commutator(X_66,commutator(X_65,X_162)),multiply(inverse(multiply(commutator(X_65,X_66),multiply(X_162,commutator(X_66,X_65)))),X_162)) )],[refute_0_3577,refute_0_3578]) ).
cnf(refute_0_3580,plain,
multiply(inverse(multiply(commutator(X_282,X_283),multiply(X_58,commutator(X_283,X_282)))),X_58) = commutator(X_283,commutator(X_282,X_58)),
inference(subst,[],[refute_0_3579:[bind(X_162,$fot(X_58)),bind(X_65,$fot(X_282)),bind(X_66,$fot(X_283))]]) ).
cnf(refute_0_3581,plain,
( multiply(inverse(multiply(commutator(X_282,X_283),multiply(X_58,commutator(X_283,X_282)))),X_58) != commutator(X_283,commutator(X_282,X_58))
| multiply(inverse(multiply(commutator(X_282,X_283),multiply(X_58,commutator(X_283,X_282)))),X_58) != inverse(commutator(X_282,commutator(X_283,X_58)))
| commutator(X_283,commutator(X_282,X_58)) = inverse(commutator(X_282,commutator(X_283,X_58))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(commutator(X_282,X_283),multiply(X_58,commutator(X_283,X_282)))),X_58),inverse(commutator(X_282,commutator(X_283,X_58)))) ),[0],$fot(commutator(X_283,commutator(X_282,X_58)))]]) ).
cnf(refute_0_3582,plain,
( multiply(inverse(multiply(commutator(X_282,X_283),multiply(X_58,commutator(X_283,X_282)))),X_58) != inverse(commutator(X_282,commutator(X_283,X_58)))
| commutator(X_283,commutator(X_282,X_58)) = inverse(commutator(X_282,commutator(X_283,X_58))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(commutator(X_282,X_283),multiply(X_58,commutator(X_283,X_282)))),X_58),commutator(X_283,commutator(X_282,X_58))) )],[refute_0_3580,refute_0_3581]) ).
cnf(refute_0_3583,plain,
commutator(commutator(X_283,X_58),X_282) = commutator(X_283,commutator(X_58,X_282)),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(X_283)),bind(Y,$fot(X_58)),bind(Z,$fot(X_282))]]) ).
cnf(refute_0_3584,plain,
inverse(commutator(X_282,commutator(X_283,X_58))) = commutator(commutator(X_283,X_58),X_282),
inference(subst,[],[refute_0_386:[bind(X,$fot(commutator(X_283,X_58))),bind(Y,$fot(X_282))]]) ).
cnf(refute_0_3585,plain,
( commutator(commutator(X_283,X_58),X_282) != commutator(X_283,commutator(X_58,X_282))
| inverse(commutator(X_282,commutator(X_283,X_58))) != commutator(commutator(X_283,X_58),X_282)
| inverse(commutator(X_282,commutator(X_283,X_58))) = commutator(X_283,commutator(X_58,X_282)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(commutator(X_282,commutator(X_283,X_58))))),bind(Y0,$fot(commutator(commutator(X_283,X_58),X_282))),bind(Z0,$fot(commutator(X_283,commutator(X_58,X_282))))]]) ).
cnf(refute_0_3586,plain,
( commutator(commutator(X_283,X_58),X_282) != commutator(X_283,commutator(X_58,X_282))
| inverse(commutator(X_282,commutator(X_283,X_58))) = commutator(X_283,commutator(X_58,X_282)) ),
inference(resolve,[$cnf( $equal(inverse(commutator(X_282,commutator(X_283,X_58))),commutator(commutator(X_283,X_58),X_282)) )],[refute_0_3584,refute_0_3585]) ).
cnf(refute_0_3587,plain,
inverse(commutator(X_282,commutator(X_283,X_58))) = commutator(X_283,commutator(X_58,X_282)),
inference(resolve,[$cnf( $equal(commutator(commutator(X_283,X_58),X_282),commutator(X_283,commutator(X_58,X_282))) )],[refute_0_3583,refute_0_3586]) ).
cnf(refute_0_3588,plain,
( commutator(X_283,commutator(X_282,X_58)) != inverse(commutator(X_282,commutator(X_283,X_58)))
| inverse(commutator(X_282,commutator(X_283,X_58))) != commutator(X_283,commutator(X_58,X_282))
| commutator(X_283,commutator(X_282,X_58)) = commutator(X_283,commutator(X_58,X_282)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(X_283,commutator(X_282,X_58)),commutator(X_283,commutator(X_58,X_282))) ),[0],$fot(inverse(commutator(X_282,commutator(X_283,X_58))))]]) ).
cnf(refute_0_3589,plain,
( commutator(X_283,commutator(X_282,X_58)) != inverse(commutator(X_282,commutator(X_283,X_58)))
| commutator(X_283,commutator(X_282,X_58)) = commutator(X_283,commutator(X_58,X_282)) ),
inference(resolve,[$cnf( $equal(inverse(commutator(X_282,commutator(X_283,X_58))),commutator(X_283,commutator(X_58,X_282))) )],[refute_0_3587,refute_0_3588]) ).
cnf(refute_0_3590,plain,
( multiply(inverse(multiply(commutator(X_282,X_283),multiply(X_58,commutator(X_283,X_282)))),X_58) != inverse(commutator(X_282,commutator(X_283,X_58)))
| commutator(X_283,commutator(X_282,X_58)) = commutator(X_283,commutator(X_58,X_282)) ),
inference(resolve,[$cnf( $equal(commutator(X_283,commutator(X_282,X_58)),inverse(commutator(X_282,commutator(X_283,X_58)))) )],[refute_0_3582,refute_0_3589]) ).
cnf(refute_0_3591,plain,
commutator(X_283,commutator(X_282,X_58)) = commutator(X_283,commutator(X_58,X_282)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(commutator(X_282,X_283),multiply(X_58,commutator(X_283,X_282)))),X_58),inverse(commutator(X_282,commutator(X_283,X_58)))) )],[refute_0_3402,refute_0_3590]) ).
cnf(refute_0_3592,plain,
( commutator(X_283,commutator(X_282,X_58)) != commutator(X_283,commutator(X_58,X_282))
| commutator(X_283,commutator(X_58,X_282)) = commutator(X_283,commutator(X_282,X_58)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_283,commutator(X_282,X_58)))),bind(Y0,$fot(commutator(X_283,commutator(X_58,X_282))))]]) ).
cnf(refute_0_3593,plain,
commutator(X_283,commutator(X_58,X_282)) = commutator(X_283,commutator(X_282,X_58)),
inference(resolve,[$cnf( $equal(commutator(X_283,commutator(X_282,X_58)),commutator(X_283,commutator(X_58,X_282))) )],[refute_0_3591,refute_0_3592]) ).
cnf(refute_0_3594,plain,
commutator(X_306,commutator(multiply(X_128,commutator(X_128,commutator(X_306,X_307))),X_307)) = commutator(X_306,commutator(X_307,multiply(X_128,commutator(X_128,commutator(X_306,X_307))))),
inference(subst,[],[refute_0_3593:[bind(X_282,$fot(X_307)),bind(X_283,$fot(X_306)),bind(X_58,$fot(multiply(X_128,commutator(X_128,commutator(X_306,X_307)))))]]) ).
cnf(refute_0_3595,plain,
( commutator(X_306,commutator(X_307,multiply(X_128,commutator(X_128,commutator(X_306,X_307))))) != commutator(X_306,commutator(X_307,X_128))
| commutator(X_306,commutator(multiply(X_128,commutator(X_128,commutator(X_306,X_307))),X_307)) != commutator(X_306,commutator(X_307,multiply(X_128,commutator(X_128,commutator(X_306,X_307)))))
| commutator(X_306,commutator(multiply(X_128,commutator(X_128,commutator(X_306,X_307))),X_307)) = commutator(X_306,commutator(X_307,X_128)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(X_306,commutator(multiply(X_128,commutator(X_128,commutator(X_306,X_307))),X_307)))),bind(Y0,$fot(commutator(X_306,commutator(X_307,multiply(X_128,commutator(X_128,commutator(X_306,X_307))))))),bind(Z0,$fot(commutator(X_306,commutator(X_307,X_128))))]]) ).
cnf(refute_0_3596,plain,
( commutator(X_306,commutator(X_307,multiply(X_128,commutator(X_128,commutator(X_306,X_307))))) != commutator(X_306,commutator(X_307,X_128))
| commutator(X_306,commutator(multiply(X_128,commutator(X_128,commutator(X_306,X_307))),X_307)) = commutator(X_306,commutator(X_307,X_128)) ),
inference(resolve,[$cnf( $equal(commutator(X_306,commutator(multiply(X_128,commutator(X_128,commutator(X_306,X_307))),X_307)),commutator(X_306,commutator(X_307,multiply(X_128,commutator(X_128,commutator(X_306,X_307)))))) )],[refute_0_3594,refute_0_3595]) ).
cnf(refute_0_3597,plain,
commutator(X_306,commutator(multiply(X_128,commutator(X_128,commutator(X_306,X_307))),X_307)) = commutator(X_306,commutator(X_307,X_128)),
inference(resolve,[$cnf( $equal(commutator(X_306,commutator(X_307,multiply(X_128,commutator(X_128,commutator(X_306,X_307))))),commutator(X_306,commutator(X_307,X_128))) )],[refute_0_3397,refute_0_3596]) ).
cnf(refute_0_3598,plain,
( commutator(X_306,commutator(multiply(X_128,commutator(X_128,commutator(X_306,X_307))),X_307)) != commutator(X_128,commutator(X_306,X_307))
| commutator(X_306,commutator(multiply(X_128,commutator(X_128,commutator(X_306,X_307))),X_307)) != commutator(X_306,commutator(X_307,X_128))
| commutator(X_306,commutator(X_307,X_128)) = commutator(X_128,commutator(X_306,X_307)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_306,commutator(multiply(X_128,commutator(X_128,commutator(X_306,X_307))),X_307)),commutator(X_128,commutator(X_306,X_307))) ),[0],$fot(commutator(X_306,commutator(X_307,X_128)))]]) ).
cnf(refute_0_3599,plain,
( commutator(X_306,commutator(multiply(X_128,commutator(X_128,commutator(X_306,X_307))),X_307)) != commutator(X_128,commutator(X_306,X_307))
| commutator(X_306,commutator(X_307,X_128)) = commutator(X_128,commutator(X_306,X_307)) ),
inference(resolve,[$cnf( $equal(commutator(X_306,commutator(multiply(X_128,commutator(X_128,commutator(X_306,X_307))),X_307)),commutator(X_306,commutator(X_307,X_128))) )],[refute_0_3597,refute_0_3598]) ).
cnf(refute_0_3600,plain,
commutator(X_306,commutator(X_307,X_128)) = commutator(X_128,commutator(X_306,X_307)),
inference(resolve,[$cnf( $equal(commutator(X_306,commutator(multiply(X_128,commutator(X_128,commutator(X_306,X_307))),X_307)),commutator(X_128,commutator(X_306,X_307))) )],[refute_0_3385,refute_0_3599]) ).
cnf(refute_0_3601,plain,
( commutator(X_306,commutator(X_307,X_128)) != commutator(X_128,commutator(X_306,X_307))
| commutator(X_128,commutator(X_306,X_307)) = commutator(X_306,commutator(X_307,X_128)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_306,commutator(X_307,X_128)))),bind(Y0,$fot(commutator(X_128,commutator(X_306,X_307))))]]) ).
cnf(refute_0_3602,plain,
commutator(X_128,commutator(X_306,X_307)) = commutator(X_306,commutator(X_307,X_128)),
inference(resolve,[$cnf( $equal(commutator(X_306,commutator(X_307,X_128)),commutator(X_128,commutator(X_306,X_307))) )],[refute_0_3600,refute_0_3601]) ).
cnf(refute_0_3603,plain,
commutator(multiply(X_128,commutator(X_128,commutator(X_334,X_333))),commutator(X_333,X_334)) = commutator(X_333,commutator(X_334,multiply(X_128,commutator(X_128,commutator(X_334,X_333))))),
inference(subst,[],[refute_0_3602:[bind(X_128,$fot(multiply(X_128,commutator(X_128,commutator(X_334,X_333))))),bind(X_306,$fot(X_333)),bind(X_307,$fot(X_334))]]) ).
cnf(refute_0_3604,plain,
( commutator(X_333,commutator(X_334,multiply(X_128,commutator(X_128,commutator(X_334,X_333))))) != commutator(X_333,commutator(X_334,X_128))
| commutator(multiply(X_128,commutator(X_128,commutator(X_334,X_333))),commutator(X_333,X_334)) != commutator(X_333,commutator(X_334,multiply(X_128,commutator(X_128,commutator(X_334,X_333)))))
| commutator(multiply(X_128,commutator(X_128,commutator(X_334,X_333))),commutator(X_333,X_334)) = commutator(X_333,commutator(X_334,X_128)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_128,commutator(X_128,commutator(X_334,X_333))),commutator(X_333,X_334)))),bind(Y0,$fot(commutator(X_333,commutator(X_334,multiply(X_128,commutator(X_128,commutator(X_334,X_333))))))),bind(Z0,$fot(commutator(X_333,commutator(X_334,X_128))))]]) ).
cnf(refute_0_3605,plain,
( commutator(X_333,commutator(X_334,multiply(X_128,commutator(X_128,commutator(X_334,X_333))))) != commutator(X_333,commutator(X_334,X_128))
| commutator(multiply(X_128,commutator(X_128,commutator(X_334,X_333))),commutator(X_333,X_334)) = commutator(X_333,commutator(X_334,X_128)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_128,commutator(X_128,commutator(X_334,X_333))),commutator(X_333,X_334)),commutator(X_333,commutator(X_334,multiply(X_128,commutator(X_128,commutator(X_334,X_333)))))) )],[refute_0_3603,refute_0_3604]) ).
cnf(refute_0_3606,plain,
commutator(multiply(X_128,commutator(X_128,commutator(X_334,X_333))),commutator(X_333,X_334)) = commutator(X_333,commutator(X_334,X_128)),
inference(resolve,[$cnf( $equal(commutator(X_333,commutator(X_334,multiply(X_128,commutator(X_128,commutator(X_334,X_333))))),commutator(X_333,commutator(X_334,X_128))) )],[refute_0_3380,refute_0_3605]) ).
cnf(refute_0_3607,plain,
multiply(commutator(X_333,X_334),commutator(multiply(X_128,commutator(X_128,commutator(X_334,X_333))),commutator(X_333,X_334))) = multiply(commutator(X_333,X_334),commutator(multiply(X_128,commutator(X_128,commutator(X_334,X_333))),commutator(X_333,X_334))),
introduced(tautology,[refl,[$fot(multiply(commutator(X_333,X_334),commutator(multiply(X_128,commutator(X_128,commutator(X_334,X_333))),commutator(X_333,X_334))))]]) ).
cnf(refute_0_3608,plain,
( multiply(commutator(X_333,X_334),commutator(multiply(X_128,commutator(X_128,commutator(X_334,X_333))),commutator(X_333,X_334))) != multiply(commutator(X_333,X_334),commutator(multiply(X_128,commutator(X_128,commutator(X_334,X_333))),commutator(X_333,X_334)))
| commutator(multiply(X_128,commutator(X_128,commutator(X_334,X_333))),commutator(X_333,X_334)) != commutator(X_333,commutator(X_334,X_128))
| multiply(commutator(X_333,X_334),commutator(multiply(X_128,commutator(X_128,commutator(X_334,X_333))),commutator(X_333,X_334))) = multiply(commutator(X_333,X_334),commutator(X_333,commutator(X_334,X_128))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_333,X_334),commutator(multiply(X_128,commutator(X_128,commutator(X_334,X_333))),commutator(X_333,X_334))),multiply(commutator(X_333,X_334),commutator(multiply(X_128,commutator(X_128,commutator(X_334,X_333))),commutator(X_333,X_334)))) ),[1,1],$fot(commutator(X_333,commutator(X_334,X_128)))]]) ).
cnf(refute_0_3609,plain,
( commutator(multiply(X_128,commutator(X_128,commutator(X_334,X_333))),commutator(X_333,X_334)) != commutator(X_333,commutator(X_334,X_128))
| multiply(commutator(X_333,X_334),commutator(multiply(X_128,commutator(X_128,commutator(X_334,X_333))),commutator(X_333,X_334))) = multiply(commutator(X_333,X_334),commutator(X_333,commutator(X_334,X_128))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_333,X_334),commutator(multiply(X_128,commutator(X_128,commutator(X_334,X_333))),commutator(X_333,X_334))),multiply(commutator(X_333,X_334),commutator(multiply(X_128,commutator(X_128,commutator(X_334,X_333))),commutator(X_333,X_334)))) )],[refute_0_3607,refute_0_3608]) ).
cnf(refute_0_3610,plain,
multiply(commutator(X_333,X_334),commutator(multiply(X_128,commutator(X_128,commutator(X_334,X_333))),commutator(X_333,X_334))) = multiply(commutator(X_333,X_334),commutator(X_333,commutator(X_334,X_128))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_128,commutator(X_128,commutator(X_334,X_333))),commutator(X_333,X_334)),commutator(X_333,commutator(X_334,X_128))) )],[refute_0_3606,refute_0_3609]) ).
cnf(refute_0_3611,plain,
multiply(commutator(X_332,commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167)))),commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))) = multiply(inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)),X_332),
inference(subst,[],[refute_0_3215:[bind(X_255,$fot(X_332)),bind(X_65,$fot(multiply(X_135,inverse(X_167)))),bind(X_66,$fot(multiply(X_135,commutator(X_167,X_135))))]]) ).
cnf(refute_0_3612,plain,
( multiply(commutator(X_332,commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167)))),commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))) != multiply(inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)),X_332)
| commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))) != commutator(X_135,X_167)
| multiply(commutator(X_332,commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167)))),commutator(X_135,X_167)) = multiply(inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)),X_332) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_332,commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167)))),commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),multiply(inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)),X_332)) ),[0,1],$fot(commutator(X_135,X_167))]]) ).
cnf(refute_0_3613,plain,
( multiply(commutator(X_332,commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167)))),commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))) != multiply(inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)),X_332)
| multiply(commutator(X_332,commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167)))),commutator(X_135,X_167)) = multiply(inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)),X_332) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),commutator(X_135,X_167)) )],[refute_0_1769,refute_0_3612]) ).
cnf(refute_0_3614,plain,
multiply(commutator(X_332,commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167)))),commutator(X_135,X_167)) = multiply(inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)),X_332),
inference(resolve,[$cnf( $equal(multiply(commutator(X_332,commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167)))),commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),multiply(inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)),X_332)) )],[refute_0_3611,refute_0_3613]) ).
cnf(refute_0_3615,plain,
multiply(commutator(X_332,commutator(X_135,X_167)),commutator(X_135,X_167)) = multiply(commutator(X_135,X_167),commutator(X_332,commutator(X_135,X_167))),
inference(subst,[],[refute_0_1032:[bind(X_135,$fot(X_332)),bind(X_153,$fot(commutator(X_135,X_167)))]]) ).
cnf(refute_0_3616,plain,
commutator(X_332,commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))) = commutator(X_332,commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),
introduced(tautology,[refl,[$fot(commutator(X_332,commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))))]]) ).
cnf(refute_0_3617,plain,
( commutator(X_332,commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))) != commutator(X_332,commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))
| commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))) != commutator(X_135,X_167)
| commutator(X_332,commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))) = commutator(X_332,commutator(X_135,X_167)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_332,commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),commutator(X_332,commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))) ),[1,1],$fot(commutator(X_135,X_167))]]) ).
cnf(refute_0_3618,plain,
( commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))) != commutator(X_135,X_167)
| commutator(X_332,commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))) = commutator(X_332,commutator(X_135,X_167)) ),
inference(resolve,[$cnf( $equal(commutator(X_332,commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),commutator(X_332,commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))) )],[refute_0_3616,refute_0_3617]) ).
cnf(refute_0_3619,plain,
commutator(X_332,commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))) = commutator(X_332,commutator(X_135,X_167)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),commutator(X_135,X_167)) )],[refute_0_1769,refute_0_3618]) ).
cnf(refute_0_3620,plain,
multiply(commutator(X_332,commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),commutator(X_135,X_167)) = multiply(commutator(X_332,commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),commutator(X_135,X_167)),
introduced(tautology,[refl,[$fot(multiply(commutator(X_332,commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),commutator(X_135,X_167)))]]) ).
cnf(refute_0_3621,plain,
( multiply(commutator(X_332,commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),commutator(X_135,X_167)) != multiply(commutator(X_332,commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),commutator(X_135,X_167))
| commutator(X_332,commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))) != commutator(X_332,commutator(X_135,X_167))
| multiply(commutator(X_332,commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),commutator(X_135,X_167)) = multiply(commutator(X_332,commutator(X_135,X_167)),commutator(X_135,X_167)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_332,commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),commutator(X_135,X_167)),multiply(commutator(X_332,commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),commutator(X_135,X_167))) ),[1,0],$fot(commutator(X_332,commutator(X_135,X_167)))]]) ).
cnf(refute_0_3622,plain,
( commutator(X_332,commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))) != commutator(X_332,commutator(X_135,X_167))
| multiply(commutator(X_332,commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),commutator(X_135,X_167)) = multiply(commutator(X_332,commutator(X_135,X_167)),commutator(X_135,X_167)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_332,commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),commutator(X_135,X_167)),multiply(commutator(X_332,commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),commutator(X_135,X_167))) )],[refute_0_3620,refute_0_3621]) ).
cnf(refute_0_3623,plain,
multiply(commutator(X_332,commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),commutator(X_135,X_167)) = multiply(commutator(X_332,commutator(X_135,X_167)),commutator(X_135,X_167)),
inference(resolve,[$cnf( $equal(commutator(X_332,commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),commutator(X_332,commutator(X_135,X_167))) )],[refute_0_3619,refute_0_3622]) ).
cnf(refute_0_3624,plain,
( multiply(commutator(X_332,commutator(X_135,X_167)),commutator(X_135,X_167)) != multiply(commutator(X_135,X_167),commutator(X_332,commutator(X_135,X_167)))
| multiply(commutator(X_332,commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),commutator(X_135,X_167)) != multiply(commutator(X_332,commutator(X_135,X_167)),commutator(X_135,X_167))
| multiply(commutator(X_332,commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),commutator(X_135,X_167)) = multiply(commutator(X_135,X_167),commutator(X_332,commutator(X_135,X_167))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_332,commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),commutator(X_135,X_167)))),bind(Y0,$fot(multiply(commutator(X_332,commutator(X_135,X_167)),commutator(X_135,X_167)))),bind(Z0,$fot(multiply(commutator(X_135,X_167),commutator(X_332,commutator(X_135,X_167)))))]]) ).
cnf(refute_0_3625,plain,
( multiply(commutator(X_332,commutator(X_135,X_167)),commutator(X_135,X_167)) != multiply(commutator(X_135,X_167),commutator(X_332,commutator(X_135,X_167)))
| multiply(commutator(X_332,commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),commutator(X_135,X_167)) = multiply(commutator(X_135,X_167),commutator(X_332,commutator(X_135,X_167))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_332,commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),commutator(X_135,X_167)),multiply(commutator(X_332,commutator(X_135,X_167)),commutator(X_135,X_167))) )],[refute_0_3623,refute_0_3624]) ).
cnf(refute_0_3626,plain,
multiply(commutator(X_332,commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),commutator(X_135,X_167)) = multiply(commutator(X_135,X_167),commutator(X_332,commutator(X_135,X_167))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_332,commutator(X_135,X_167)),commutator(X_135,X_167)),multiply(commutator(X_135,X_167),commutator(X_332,commutator(X_135,X_167)))) )],[refute_0_3615,refute_0_3625]) ).
cnf(refute_0_3627,plain,
multiply(commutator(multiply(X_281,commutator(X_283,X_282)),commutator(X_282,X_283)),X_11) = multiply(inverse(multiply(commutator(X_282,X_283),multiply(X_281,commutator(X_283,X_282)))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11))),
inference(subst,[],[refute_0_246:[bind(X,$fot(multiply(X_281,commutator(X_283,X_282)))),bind(Y,$fot(commutator(X_282,X_283)))]]) ).
cnf(refute_0_3628,plain,
( multiply(commutator(X_282,X_283),multiply(X_281,commutator(X_283,X_282))) != multiply(X_281,commutator(X_282,commutator(X_283,X_281)))
| multiply(commutator(multiply(X_281,commutator(X_283,X_282)),commutator(X_282,X_283)),X_11) != multiply(inverse(multiply(commutator(X_282,X_283),multiply(X_281,commutator(X_283,X_282)))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11)))
| multiply(commutator(multiply(X_281,commutator(X_283,X_282)),commutator(X_282,X_283)),X_11) = multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(multiply(X_281,commutator(X_283,X_282)),commutator(X_282,X_283)),X_11),multiply(inverse(multiply(commutator(X_282,X_283),multiply(X_281,commutator(X_283,X_282)))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11)))) ),[1,0,0],$fot(multiply(X_281,commutator(X_282,commutator(X_283,X_281))))]]) ).
cnf(refute_0_3629,plain,
( multiply(commutator(multiply(X_281,commutator(X_283,X_282)),commutator(X_282,X_283)),X_11) != multiply(inverse(multiply(commutator(X_282,X_283),multiply(X_281,commutator(X_283,X_282)))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11)))
| multiply(commutator(multiply(X_281,commutator(X_283,X_282)),commutator(X_282,X_283)),X_11) = multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_282,X_283),multiply(X_281,commutator(X_283,X_282))),multiply(X_281,commutator(X_282,commutator(X_283,X_281)))) )],[refute_0_2990,refute_0_3628]) ).
cnf(refute_0_3630,plain,
multiply(commutator(multiply(X_281,commutator(X_283,X_282)),commutator(X_282,X_283)),X_11) = multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11))),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_281,commutator(X_283,X_282)),commutator(X_282,X_283)),X_11),multiply(inverse(multiply(commutator(X_282,X_283),multiply(X_281,commutator(X_283,X_282)))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11)))) )],[refute_0_3627,refute_0_3629]) ).
cnf(refute_0_3631,plain,
commutator(X_283,commutator(X_282,multiply(X_281,commutator(X_283,X_282)))) = commutator(X_283,commutator(X_282,X_281)),
inference(subst,[],[refute_0_3573:[bind(Y,$fot(X_283)),bind(X_171,$fot(X_282)),bind(X_173,$fot(X_281))]]) ).
cnf(refute_0_3632,plain,
multiply(commutator(X_283,commutator(X_282,multiply(X_281,commutator(X_283,X_282)))),X_11) = multiply(commutator(X_283,commutator(X_282,multiply(X_281,commutator(X_283,X_282)))),X_11),
introduced(tautology,[refl,[$fot(multiply(commutator(X_283,commutator(X_282,multiply(X_281,commutator(X_283,X_282)))),X_11))]]) ).
cnf(refute_0_3633,plain,
( multiply(commutator(X_283,commutator(X_282,multiply(X_281,commutator(X_283,X_282)))),X_11) != multiply(commutator(X_283,commutator(X_282,multiply(X_281,commutator(X_283,X_282)))),X_11)
| commutator(X_283,commutator(X_282,multiply(X_281,commutator(X_283,X_282)))) != commutator(X_283,commutator(X_282,X_281))
| multiply(commutator(X_283,commutator(X_282,multiply(X_281,commutator(X_283,X_282)))),X_11) = multiply(commutator(X_283,commutator(X_282,X_281)),X_11) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_283,commutator(X_282,multiply(X_281,commutator(X_283,X_282)))),X_11),multiply(commutator(X_283,commutator(X_282,multiply(X_281,commutator(X_283,X_282)))),X_11)) ),[1,0],$fot(commutator(X_283,commutator(X_282,X_281)))]]) ).
cnf(refute_0_3634,plain,
( commutator(X_283,commutator(X_282,multiply(X_281,commutator(X_283,X_282)))) != commutator(X_283,commutator(X_282,X_281))
| multiply(commutator(X_283,commutator(X_282,multiply(X_281,commutator(X_283,X_282)))),X_11) = multiply(commutator(X_283,commutator(X_282,X_281)),X_11) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_283,commutator(X_282,multiply(X_281,commutator(X_283,X_282)))),X_11),multiply(commutator(X_283,commutator(X_282,multiply(X_281,commutator(X_283,X_282)))),X_11)) )],[refute_0_3632,refute_0_3633]) ).
cnf(refute_0_3635,plain,
multiply(commutator(X_283,commutator(X_282,multiply(X_281,commutator(X_283,X_282)))),X_11) = multiply(commutator(X_283,commutator(X_282,X_281)),X_11),
inference(resolve,[$cnf( $equal(commutator(X_283,commutator(X_282,multiply(X_281,commutator(X_283,X_282)))),commutator(X_283,commutator(X_282,X_281))) )],[refute_0_3631,refute_0_3634]) ).
cnf(refute_0_3636,plain,
( multiply(commutator(X_169,commutator(Z,X_255)),X_257) != multiply(commutator(X_255,commutator(Z,X_169)),X_257)
| multiply(commutator(X_255,commutator(Z,X_169)),X_257) = multiply(commutator(X_169,commutator(Z,X_255)),X_257) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(commutator(X_169,commutator(Z,X_255)),X_257))),bind(Y0,$fot(multiply(commutator(X_255,commutator(Z,X_169)),X_257)))]]) ).
cnf(refute_0_3637,plain,
multiply(commutator(X_255,commutator(Z,X_169)),X_257) = multiply(commutator(X_169,commutator(Z,X_255)),X_257),
inference(resolve,[$cnf( $equal(multiply(commutator(X_169,commutator(Z,X_255)),X_257),multiply(commutator(X_255,commutator(Z,X_169)),X_257)) )],[refute_0_2156,refute_0_3636]) ).
cnf(refute_0_3638,plain,
multiply(commutator(multiply(X_281,commutator(X_283,X_282)),commutator(X_282,X_283)),X_11) = multiply(commutator(X_283,commutator(X_282,multiply(X_281,commutator(X_283,X_282)))),X_11),
inference(subst,[],[refute_0_3637:[bind(Z,$fot(X_282)),bind(X_169,$fot(X_283)),bind(X_255,$fot(multiply(X_281,commutator(X_283,X_282)))),bind(X_257,$fot(X_11))]]) ).
cnf(refute_0_3639,plain,
( multiply(commutator(X_283,commutator(X_282,multiply(X_281,commutator(X_283,X_282)))),X_11) != multiply(commutator(X_283,commutator(X_282,X_281)),X_11)
| multiply(commutator(multiply(X_281,commutator(X_283,X_282)),commutator(X_282,X_283)),X_11) != multiply(commutator(X_283,commutator(X_282,multiply(X_281,commutator(X_283,X_282)))),X_11)
| multiply(commutator(multiply(X_281,commutator(X_283,X_282)),commutator(X_282,X_283)),X_11) = multiply(commutator(X_283,commutator(X_282,X_281)),X_11) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(multiply(X_281,commutator(X_283,X_282)),commutator(X_282,X_283)),X_11))),bind(Y0,$fot(multiply(commutator(X_283,commutator(X_282,multiply(X_281,commutator(X_283,X_282)))),X_11))),bind(Z0,$fot(multiply(commutator(X_283,commutator(X_282,X_281)),X_11)))]]) ).
cnf(refute_0_3640,plain,
( multiply(commutator(X_283,commutator(X_282,multiply(X_281,commutator(X_283,X_282)))),X_11) != multiply(commutator(X_283,commutator(X_282,X_281)),X_11)
| multiply(commutator(multiply(X_281,commutator(X_283,X_282)),commutator(X_282,X_283)),X_11) = multiply(commutator(X_283,commutator(X_282,X_281)),X_11) ),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_281,commutator(X_283,X_282)),commutator(X_282,X_283)),X_11),multiply(commutator(X_283,commutator(X_282,multiply(X_281,commutator(X_283,X_282)))),X_11)) )],[refute_0_3638,refute_0_3639]) ).
cnf(refute_0_3641,plain,
multiply(commutator(multiply(X_281,commutator(X_283,X_282)),commutator(X_282,X_283)),X_11) = multiply(commutator(X_283,commutator(X_282,X_281)),X_11),
inference(resolve,[$cnf( $equal(multiply(commutator(X_283,commutator(X_282,multiply(X_281,commutator(X_283,X_282)))),X_11),multiply(commutator(X_283,commutator(X_282,X_281)),X_11)) )],[refute_0_3635,refute_0_3640]) ).
cnf(refute_0_3642,plain,
( multiply(commutator(multiply(X_281,commutator(X_283,X_282)),commutator(X_282,X_283)),X_11) != multiply(commutator(X_283,commutator(X_282,X_281)),X_11)
| multiply(commutator(multiply(X_281,commutator(X_283,X_282)),commutator(X_282,X_283)),X_11) != multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11)))
| multiply(commutator(X_283,commutator(X_282,X_281)),X_11) = multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(multiply(X_281,commutator(X_283,X_282)),commutator(X_282,X_283)),X_11),multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11)))) ),[0],$fot(multiply(commutator(X_283,commutator(X_282,X_281)),X_11))]]) ).
cnf(refute_0_3643,plain,
( multiply(commutator(multiply(X_281,commutator(X_283,X_282)),commutator(X_282,X_283)),X_11) != multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11)))
| multiply(commutator(X_283,commutator(X_282,X_281)),X_11) = multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_281,commutator(X_283,X_282)),commutator(X_282,X_283)),X_11),multiply(commutator(X_283,commutator(X_282,X_281)),X_11)) )],[refute_0_3641,refute_0_3642]) ).
cnf(refute_0_3644,plain,
inverse(commutator(X_282,commutator(X_283,X_281))) = commutator(commutator(X_283,X_281),X_282),
inference(subst,[],[refute_0_386:[bind(X,$fot(commutator(X_283,X_281))),bind(Y,$fot(X_282))]]) ).
cnf(refute_0_3645,plain,
( commutator(commutator(X_283,X_281),X_282) != commutator(X_283,commutator(X_281,X_282))
| inverse(commutator(X_282,commutator(X_283,X_281))) != commutator(commutator(X_283,X_281),X_282)
| inverse(commutator(X_282,commutator(X_283,X_281))) = commutator(X_283,commutator(X_281,X_282)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(commutator(X_282,commutator(X_283,X_281))))),bind(Y0,$fot(commutator(commutator(X_283,X_281),X_282))),bind(Z0,$fot(commutator(X_283,commutator(X_281,X_282))))]]) ).
cnf(refute_0_3646,plain,
( commutator(commutator(X_283,X_281),X_282) != commutator(X_283,commutator(X_281,X_282))
| inverse(commutator(X_282,commutator(X_283,X_281))) = commutator(X_283,commutator(X_281,X_282)) ),
inference(resolve,[$cnf( $equal(inverse(commutator(X_282,commutator(X_283,X_281))),commutator(commutator(X_283,X_281),X_282)) )],[refute_0_3644,refute_0_3645]) ).
cnf(refute_0_3647,plain,
inverse(commutator(X_282,commutator(X_283,X_281))) = commutator(X_283,commutator(X_281,X_282)),
inference(resolve,[$cnf( $equal(commutator(commutator(X_283,X_281),X_282),commutator(X_283,commutator(X_281,X_282))) )],[refute_0_2997,refute_0_3646]) ).
cnf(refute_0_3648,plain,
multiply(inverse(commutator(X_282,commutator(X_283,X_281))),X_11) = multiply(inverse(commutator(X_282,commutator(X_283,X_281))),X_11),
introduced(tautology,[refl,[$fot(multiply(inverse(commutator(X_282,commutator(X_283,X_281))),X_11))]]) ).
cnf(refute_0_3649,plain,
( multiply(inverse(commutator(X_282,commutator(X_283,X_281))),X_11) != multiply(inverse(commutator(X_282,commutator(X_283,X_281))),X_11)
| inverse(commutator(X_282,commutator(X_283,X_281))) != commutator(X_283,commutator(X_281,X_282))
| multiply(inverse(commutator(X_282,commutator(X_283,X_281))),X_11) = multiply(commutator(X_283,commutator(X_281,X_282)),X_11) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(commutator(X_282,commutator(X_283,X_281))),X_11),multiply(inverse(commutator(X_282,commutator(X_283,X_281))),X_11)) ),[1,0],$fot(commutator(X_283,commutator(X_281,X_282)))]]) ).
cnf(refute_0_3650,plain,
( inverse(commutator(X_282,commutator(X_283,X_281))) != commutator(X_283,commutator(X_281,X_282))
| multiply(inverse(commutator(X_282,commutator(X_283,X_281))),X_11) = multiply(commutator(X_283,commutator(X_281,X_282)),X_11) ),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X_282,commutator(X_283,X_281))),X_11),multiply(inverse(commutator(X_282,commutator(X_283,X_281))),X_11)) )],[refute_0_3648,refute_0_3649]) ).
cnf(refute_0_3651,plain,
multiply(inverse(commutator(X_282,commutator(X_283,X_281))),X_11) = multiply(commutator(X_283,commutator(X_281,X_282)),X_11),
inference(resolve,[$cnf( $equal(inverse(commutator(X_282,commutator(X_283,X_281))),commutator(X_283,commutator(X_281,X_282))) )],[refute_0_3647,refute_0_3650]) ).
cnf(refute_0_3652,plain,
multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(X_281,X_11)) = multiply(inverse(commutator(X_282,commutator(X_283,X_281))),X_11),
inference(subst,[],[refute_0_2826:[bind(Z,$fot(X_11)),bind(X_50,$fot(X_281)),bind(X_51,$fot(commutator(X_282,commutator(X_283,X_281))))]]) ).
cnf(refute_0_3653,plain,
( multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(X_281,X_11)) != multiply(inverse(commutator(X_282,commutator(X_283,X_281))),X_11)
| multiply(inverse(commutator(X_282,commutator(X_283,X_281))),X_11) != multiply(commutator(X_283,commutator(X_281,X_282)),X_11)
| multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(X_281,X_11)) = multiply(commutator(X_283,commutator(X_281,X_282)),X_11) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(X_281,X_11)))),bind(Y0,$fot(multiply(inverse(commutator(X_282,commutator(X_283,X_281))),X_11))),bind(Z0,$fot(multiply(commutator(X_283,commutator(X_281,X_282)),X_11)))]]) ).
cnf(refute_0_3654,plain,
( multiply(inverse(commutator(X_282,commutator(X_283,X_281))),X_11) != multiply(commutator(X_283,commutator(X_281,X_282)),X_11)
| multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(X_281,X_11)) = multiply(commutator(X_283,commutator(X_281,X_282)),X_11) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(X_281,X_11)),multiply(inverse(commutator(X_282,commutator(X_283,X_281))),X_11)) )],[refute_0_3652,refute_0_3653]) ).
cnf(refute_0_3655,plain,
multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(X_281,X_11)) = multiply(commutator(X_283,commutator(X_281,X_282)),X_11),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X_282,commutator(X_283,X_281))),X_11),multiply(commutator(X_283,commutator(X_281,X_282)),X_11)) )],[refute_0_3651,refute_0_3654]) ).
cnf(refute_0_3656,plain,
( Z != multiply(commutator(X_66,X_65),multiply(commutator(X_65,X_66),Z))
| multiply(commutator(X_66,X_65),multiply(commutator(X_65,X_66),Z)) = Z ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(Z)),bind(Y0,$fot(multiply(commutator(X_66,X_65),multiply(commutator(X_65,X_66),Z))))]]) ).
cnf(refute_0_3657,plain,
multiply(commutator(X_66,X_65),multiply(commutator(X_65,X_66),Z)) = Z,
inference(resolve,[$cnf( $equal(Z,multiply(commutator(X_66,X_65),multiply(commutator(X_65,X_66),Z))) )],[refute_0_640,refute_0_3656]) ).
cnf(refute_0_3658,plain,
multiply(commutator(X_283,X_282),multiply(commutator(X_282,X_283),X_11)) = X_11,
inference(subst,[],[refute_0_3657:[bind(Z,$fot(X_11)),bind(X_65,$fot(X_282)),bind(X_66,$fot(X_283))]]) ).
cnf(refute_0_3659,plain,
multiply(X_281,multiply(commutator(X_283,X_282),multiply(commutator(X_282,X_283),X_11))) = multiply(X_281,multiply(commutator(X_283,X_282),multiply(commutator(X_282,X_283),X_11))),
introduced(tautology,[refl,[$fot(multiply(X_281,multiply(commutator(X_283,X_282),multiply(commutator(X_282,X_283),X_11))))]]) ).
cnf(refute_0_3660,plain,
( multiply(X_281,multiply(commutator(X_283,X_282),multiply(commutator(X_282,X_283),X_11))) != multiply(X_281,multiply(commutator(X_283,X_282),multiply(commutator(X_282,X_283),X_11)))
| multiply(commutator(X_283,X_282),multiply(commutator(X_282,X_283),X_11)) != X_11
| multiply(X_281,multiply(commutator(X_283,X_282),multiply(commutator(X_282,X_283),X_11))) = multiply(X_281,X_11) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_281,multiply(commutator(X_283,X_282),multiply(commutator(X_282,X_283),X_11))),multiply(X_281,multiply(commutator(X_283,X_282),multiply(commutator(X_282,X_283),X_11)))) ),[1,1],$fot(X_11)]]) ).
cnf(refute_0_3661,plain,
( multiply(commutator(X_283,X_282),multiply(commutator(X_282,X_283),X_11)) != X_11
| multiply(X_281,multiply(commutator(X_283,X_282),multiply(commutator(X_282,X_283),X_11))) = multiply(X_281,X_11) ),
inference(resolve,[$cnf( $equal(multiply(X_281,multiply(commutator(X_283,X_282),multiply(commutator(X_282,X_283),X_11))),multiply(X_281,multiply(commutator(X_283,X_282),multiply(commutator(X_282,X_283),X_11)))) )],[refute_0_3659,refute_0_3660]) ).
cnf(refute_0_3662,plain,
multiply(X_281,multiply(commutator(X_283,X_282),multiply(commutator(X_282,X_283),X_11))) = multiply(X_281,X_11),
inference(resolve,[$cnf( $equal(multiply(commutator(X_283,X_282),multiply(commutator(X_282,X_283),X_11)),X_11) )],[refute_0_3658,refute_0_3661]) ).
cnf(refute_0_3663,plain,
multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11)) = multiply(X_281,multiply(commutator(X_283,X_282),multiply(commutator(X_282,X_283),X_11))),
inference(subst,[],[associativity:[bind(X,$fot(X_281)),bind(Y,$fot(commutator(X_283,X_282))),bind(Z,$fot(multiply(commutator(X_282,X_283),X_11)))]]) ).
cnf(refute_0_3664,plain,
( multiply(X_281,multiply(commutator(X_283,X_282),multiply(commutator(X_282,X_283),X_11))) != multiply(X_281,X_11)
| multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11)) != multiply(X_281,multiply(commutator(X_283,X_282),multiply(commutator(X_282,X_283),X_11)))
| multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11)) = multiply(X_281,X_11) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11)))),bind(Y0,$fot(multiply(X_281,multiply(commutator(X_283,X_282),multiply(commutator(X_282,X_283),X_11))))),bind(Z0,$fot(multiply(X_281,X_11)))]]) ).
cnf(refute_0_3665,plain,
( multiply(X_281,multiply(commutator(X_283,X_282),multiply(commutator(X_282,X_283),X_11))) != multiply(X_281,X_11)
| multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11)) = multiply(X_281,X_11) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11)),multiply(X_281,multiply(commutator(X_283,X_282),multiply(commutator(X_282,X_283),X_11)))) )],[refute_0_3663,refute_0_3664]) ).
cnf(refute_0_3666,plain,
multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11)) = multiply(X_281,X_11),
inference(resolve,[$cnf( $equal(multiply(X_281,multiply(commutator(X_283,X_282),multiply(commutator(X_282,X_283),X_11))),multiply(X_281,X_11)) )],[refute_0_3662,refute_0_3665]) ).
cnf(refute_0_3667,plain,
multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11))) = multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11))),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11))))]]) ).
cnf(refute_0_3668,plain,
( multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11)) != multiply(X_281,X_11)
| multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11))) != multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11)))
| multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11))) = multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(X_281,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11))),multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11)))) ),[1,1],$fot(multiply(X_281,X_11))]]) ).
cnf(refute_0_3669,plain,
( multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11)) != multiply(X_281,X_11)
| multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11))) = multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(X_281,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11))),multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11)))) )],[refute_0_3667,refute_0_3668]) ).
cnf(refute_0_3670,plain,
multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11))) = multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(X_281,X_11)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11)),multiply(X_281,X_11)) )],[refute_0_3666,refute_0_3669]) ).
cnf(refute_0_3671,plain,
( multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(X_281,X_11)) != multiply(commutator(X_283,commutator(X_281,X_282)),X_11)
| multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11))) != multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(X_281,X_11))
| multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11))) = multiply(commutator(X_283,commutator(X_281,X_282)),X_11) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11))))),bind(Y0,$fot(multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(X_281,X_11)))),bind(Z0,$fot(multiply(commutator(X_283,commutator(X_281,X_282)),X_11)))]]) ).
cnf(refute_0_3672,plain,
( multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(X_281,X_11)) != multiply(commutator(X_283,commutator(X_281,X_282)),X_11)
| multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11))) = multiply(commutator(X_283,commutator(X_281,X_282)),X_11) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11))),multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(X_281,X_11))) )],[refute_0_3670,refute_0_3671]) ).
cnf(refute_0_3673,plain,
multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11))) = multiply(commutator(X_283,commutator(X_281,X_282)),X_11),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(X_281,X_11)),multiply(commutator(X_283,commutator(X_281,X_282)),X_11)) )],[refute_0_3655,refute_0_3672]) ).
cnf(refute_0_3674,plain,
( multiply(commutator(X_283,commutator(X_282,X_281)),X_11) != multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11)))
| multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11))) != multiply(commutator(X_283,commutator(X_281,X_282)),X_11)
| multiply(commutator(X_283,commutator(X_282,X_281)),X_11) = multiply(commutator(X_283,commutator(X_281,X_282)),X_11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(commutator(X_283,commutator(X_282,X_281)),X_11),multiply(commutator(X_283,commutator(X_281,X_282)),X_11)) ),[0],$fot(multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11))))]]) ).
cnf(refute_0_3675,plain,
( multiply(commutator(X_283,commutator(X_282,X_281)),X_11) != multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11)))
| multiply(commutator(X_283,commutator(X_282,X_281)),X_11) = multiply(commutator(X_283,commutator(X_281,X_282)),X_11) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11))),multiply(commutator(X_283,commutator(X_281,X_282)),X_11)) )],[refute_0_3673,refute_0_3674]) ).
cnf(refute_0_3676,plain,
( multiply(commutator(multiply(X_281,commutator(X_283,X_282)),commutator(X_282,X_283)),X_11) != multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11)))
| multiply(commutator(X_283,commutator(X_282,X_281)),X_11) = multiply(commutator(X_283,commutator(X_281,X_282)),X_11) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_283,commutator(X_282,X_281)),X_11),multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11)))) )],[refute_0_3643,refute_0_3675]) ).
cnf(refute_0_3677,plain,
multiply(commutator(X_283,commutator(X_282,X_281)),X_11) = multiply(commutator(X_283,commutator(X_281,X_282)),X_11),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_281,commutator(X_283,X_282)),commutator(X_282,X_283)),X_11),multiply(inverse(multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(commutator(X_282,X_283),X_11)))) )],[refute_0_3630,refute_0_3676]) ).
cnf(refute_0_3678,plain,
( multiply(commutator(X_283,commutator(X_282,X_281)),X_11) != multiply(commutator(X_283,commutator(X_281,X_282)),X_11)
| multiply(commutator(X_283,commutator(X_281,X_282)),X_11) = multiply(commutator(X_283,commutator(X_282,X_281)),X_11) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(commutator(X_283,commutator(X_282,X_281)),X_11))),bind(Y0,$fot(multiply(commutator(X_283,commutator(X_281,X_282)),X_11)))]]) ).
cnf(refute_0_3679,plain,
multiply(commutator(X_283,commutator(X_281,X_282)),X_11) = multiply(commutator(X_283,commutator(X_282,X_281)),X_11),
inference(resolve,[$cnf( $equal(multiply(commutator(X_283,commutator(X_282,X_281)),X_11),multiply(commutator(X_283,commutator(X_281,X_282)),X_11)) )],[refute_0_3677,refute_0_3678]) ).
cnf(refute_0_3680,plain,
multiply(commutator(X_332,commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167)))),commutator(X_135,X_167)) = multiply(commutator(X_332,commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),commutator(X_135,X_167)),
inference(subst,[],[refute_0_3679:[bind(X_11,$fot(commutator(X_135,X_167))),bind(X_281,$fot(multiply(X_135,commutator(X_167,X_135)))),bind(X_282,$fot(multiply(X_135,inverse(X_167)))),bind(X_283,$fot(X_332))]]) ).
cnf(refute_0_3681,plain,
( multiply(commutator(X_332,commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167)))),commutator(X_135,X_167)) != multiply(commutator(X_332,commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),commutator(X_135,X_167))
| multiply(commutator(X_332,commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),commutator(X_135,X_167)) != multiply(commutator(X_135,X_167),commutator(X_332,commutator(X_135,X_167)))
| multiply(commutator(X_332,commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167)))),commutator(X_135,X_167)) = multiply(commutator(X_135,X_167),commutator(X_332,commutator(X_135,X_167))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_332,commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167)))),commutator(X_135,X_167)))),bind(Y0,$fot(multiply(commutator(X_332,commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),commutator(X_135,X_167)))),bind(Z0,$fot(multiply(commutator(X_135,X_167),commutator(X_332,commutator(X_135,X_167)))))]]) ).
cnf(refute_0_3682,plain,
( multiply(commutator(X_332,commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),commutator(X_135,X_167)) != multiply(commutator(X_135,X_167),commutator(X_332,commutator(X_135,X_167)))
| multiply(commutator(X_332,commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167)))),commutator(X_135,X_167)) = multiply(commutator(X_135,X_167),commutator(X_332,commutator(X_135,X_167))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_332,commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167)))),commutator(X_135,X_167)),multiply(commutator(X_332,commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),commutator(X_135,X_167))) )],[refute_0_3680,refute_0_3681]) ).
cnf(refute_0_3683,plain,
multiply(commutator(X_332,commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167)))),commutator(X_135,X_167)) = multiply(commutator(X_135,X_167),commutator(X_332,commutator(X_135,X_167))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_332,commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),commutator(X_135,X_167)),multiply(commutator(X_135,X_167),commutator(X_332,commutator(X_135,X_167)))) )],[refute_0_3626,refute_0_3682]) ).
cnf(refute_0_3684,plain,
( multiply(commutator(X_332,commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167)))),commutator(X_135,X_167)) != multiply(commutator(X_135,X_167),commutator(X_332,commutator(X_135,X_167)))
| multiply(commutator(X_332,commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167)))),commutator(X_135,X_167)) != multiply(inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)),X_332)
| multiply(commutator(X_135,X_167),commutator(X_332,commutator(X_135,X_167))) = multiply(inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)),X_332) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_332,commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167)))),commutator(X_135,X_167)),multiply(inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)),X_332)) ),[0],$fot(multiply(commutator(X_135,X_167),commutator(X_332,commutator(X_135,X_167))))]]) ).
cnf(refute_0_3685,plain,
( multiply(commutator(X_332,commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167)))),commutator(X_135,X_167)) != multiply(inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)),X_332)
| multiply(commutator(X_135,X_167),commutator(X_332,commutator(X_135,X_167))) = multiply(inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)),X_332) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_332,commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167)))),commutator(X_135,X_167)),multiply(commutator(X_135,X_167),commutator(X_332,commutator(X_135,X_167)))) )],[refute_0_3683,refute_0_3684]) ).
cnf(refute_0_3686,plain,
commutator(multiply(X_171,commutator(X_171,multiply(X_173,inverse(X_171)))),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171))))) = commutator(multiply(X_171,commutator(X_171,multiply(X_173,inverse(X_171)))),multiply(X_173,inverse(X_171))),
inference(subst,[],[refute_0_1692:[bind(X_10,$fot(X_171)),bind(X_161,$fot(commutator(X_171,multiply(X_173,inverse(X_171))))),bind(X_162,$fot(X_173))]]) ).
cnf(refute_0_3687,plain,
commutator(multiply(X_171,commutator(X_171,multiply(X_173,inverse(X_171)))),multiply(X_173,inverse(X_171))) = commutator(X_171,multiply(X_173,inverse(X_171))),
inference(subst,[],[refute_0_1592:[bind(X_127,$fot(multiply(X_173,inverse(X_171)))),bind(X_128,$fot(X_171))]]) ).
cnf(refute_0_3688,plain,
( commutator(multiply(X_171,commutator(X_171,multiply(X_173,inverse(X_171)))),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171))))) != commutator(multiply(X_171,commutator(X_171,multiply(X_173,inverse(X_171)))),multiply(X_173,inverse(X_171)))
| commutator(multiply(X_171,commutator(X_171,multiply(X_173,inverse(X_171)))),multiply(X_173,inverse(X_171))) != commutator(X_171,multiply(X_173,inverse(X_171)))
| commutator(multiply(X_171,commutator(X_171,multiply(X_173,inverse(X_171)))),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171))))) = commutator(X_171,multiply(X_173,inverse(X_171))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(multiply(X_171,commutator(X_171,multiply(X_173,inverse(X_171)))),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171))))),commutator(X_171,multiply(X_173,inverse(X_171)))) ),[0],$fot(commutator(multiply(X_171,commutator(X_171,multiply(X_173,inverse(X_171)))),multiply(X_173,inverse(X_171))))]]) ).
cnf(refute_0_3689,plain,
( commutator(multiply(X_171,commutator(X_171,multiply(X_173,inverse(X_171)))),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171))))) != commutator(multiply(X_171,commutator(X_171,multiply(X_173,inverse(X_171)))),multiply(X_173,inverse(X_171)))
| commutator(multiply(X_171,commutator(X_171,multiply(X_173,inverse(X_171)))),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171))))) = commutator(X_171,multiply(X_173,inverse(X_171))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_171,commutator(X_171,multiply(X_173,inverse(X_171)))),multiply(X_173,inverse(X_171))),commutator(X_171,multiply(X_173,inverse(X_171)))) )],[refute_0_3687,refute_0_3688]) ).
cnf(refute_0_3690,plain,
commutator(multiply(X_171,commutator(X_171,multiply(X_173,inverse(X_171)))),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171))))) = commutator(X_171,multiply(X_173,inverse(X_171))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_171,commutator(X_171,multiply(X_173,inverse(X_171)))),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171))))),commutator(multiply(X_171,commutator(X_171,multiply(X_173,inverse(X_171)))),multiply(X_173,inverse(X_171)))) )],[refute_0_3686,refute_0_3689]) ).
cnf(refute_0_3691,plain,
multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171)))) = multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171)))),
introduced(tautology,[refl,[$fot(multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171)))))]]) ).
cnf(refute_0_3692,plain,
( multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171)))) != multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171))))
| commutator(X_171,multiply(X_173,inverse(X_171))) != commutator(X_171,X_173)
| multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171)))) = multiply(X_173,commutator(X_171,X_173)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171)))),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171))))) ),[1,1],$fot(commutator(X_171,X_173))]]) ).
cnf(refute_0_3693,plain,
( commutator(X_171,multiply(X_173,inverse(X_171))) != commutator(X_171,X_173)
| multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171)))) = multiply(X_173,commutator(X_171,X_173)) ),
inference(resolve,[$cnf( $equal(multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171)))),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171))))) )],[refute_0_3691,refute_0_3692]) ).
cnf(refute_0_3694,plain,
multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171)))) = multiply(X_173,commutator(X_171,X_173)),
inference(resolve,[$cnf( $equal(commutator(X_171,multiply(X_173,inverse(X_171))),commutator(X_171,X_173)) )],[refute_0_3471,refute_0_3693]) ).
cnf(refute_0_3695,plain,
commutator(multiply(X_171,inverse(X_173)),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171))))) = commutator(multiply(X_171,inverse(X_173)),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171))))),
introduced(tautology,[refl,[$fot(commutator(multiply(X_171,inverse(X_173)),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171))))))]]) ).
cnf(refute_0_3696,plain,
( multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171)))) != multiply(X_173,commutator(X_171,X_173))
| commutator(multiply(X_171,inverse(X_173)),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171))))) != commutator(multiply(X_171,inverse(X_173)),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171)))))
| commutator(multiply(X_171,inverse(X_173)),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171))))) = commutator(multiply(X_171,inverse(X_173)),multiply(X_173,commutator(X_171,X_173))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_171,inverse(X_173)),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171))))),commutator(multiply(X_171,inverse(X_173)),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171)))))) ),[1,1],$fot(multiply(X_173,commutator(X_171,X_173)))]]) ).
cnf(refute_0_3697,plain,
( multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171)))) != multiply(X_173,commutator(X_171,X_173))
| commutator(multiply(X_171,inverse(X_173)),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171))))) = commutator(multiply(X_171,inverse(X_173)),multiply(X_173,commutator(X_171,X_173))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_171,inverse(X_173)),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171))))),commutator(multiply(X_171,inverse(X_173)),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171)))))) )],[refute_0_3695,refute_0_3696]) ).
cnf(refute_0_3698,plain,
commutator(multiply(X_171,inverse(X_173)),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171))))) = commutator(multiply(X_171,inverse(X_173)),multiply(X_173,commutator(X_171,X_173))),
inference(resolve,[$cnf( $equal(multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171)))),multiply(X_173,commutator(X_171,X_173))) )],[refute_0_3694,refute_0_3697]) ).
cnf(refute_0_3699,plain,
commutator(multiply(X_173,X_172),multiply(X_171,X_172)) = multiply(multiply(X_171,X_172),inverse(multiply(multiply(X_171,X_172),commutator(multiply(X_171,X_172),multiply(X_173,X_172))))),
inference(subst,[],[refute_0_1923:[bind(Y,$fot(multiply(X_173,X_172))),bind(X_136,$fot(multiply(X_171,X_172)))]]) ).
cnf(refute_0_3700,plain,
commutator(multiply(X_171,X_172),multiply(X_173,X_172)) = commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))),
inference(subst,[],[refute_0_1692:[bind(X_10,$fot(X_171)),bind(X_161,$fot(X_172)),bind(X_162,$fot(X_173))]]) ).
cnf(refute_0_3701,plain,
( commutator(multiply(X_171,X_172),multiply(X_173,X_172)) != commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))
| commutator(multiply(X_173,X_172),multiply(X_171,X_172)) != multiply(multiply(X_171,X_172),inverse(multiply(multiply(X_171,X_172),commutator(multiply(X_171,X_172),multiply(X_173,X_172)))))
| commutator(multiply(X_173,X_172),multiply(X_171,X_172)) = multiply(multiply(X_171,X_172),inverse(multiply(multiply(X_171,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_173,X_172),multiply(X_171,X_172)),multiply(multiply(X_171,X_172),inverse(multiply(multiply(X_171,X_172),commutator(multiply(X_171,X_172),multiply(X_173,X_172)))))) ),[1,1,0,1],$fot(commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))]]) ).
cnf(refute_0_3702,plain,
( commutator(multiply(X_173,X_172),multiply(X_171,X_172)) != multiply(multiply(X_171,X_172),inverse(multiply(multiply(X_171,X_172),commutator(multiply(X_171,X_172),multiply(X_173,X_172)))))
| commutator(multiply(X_173,X_172),multiply(X_171,X_172)) = multiply(multiply(X_171,X_172),inverse(multiply(multiply(X_171,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_171,X_172),multiply(X_173,X_172)),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))) )],[refute_0_3700,refute_0_3701]) ).
cnf(refute_0_3703,plain,
commutator(multiply(X_173,X_172),multiply(X_171,X_172)) = multiply(multiply(X_171,X_172),inverse(multiply(multiply(X_171,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_173,X_172),multiply(X_171,X_172)),multiply(multiply(X_171,X_172),inverse(multiply(multiply(X_171,X_172),commutator(multiply(X_171,X_172),multiply(X_173,X_172)))))) )],[refute_0_3699,refute_0_3702]) ).
cnf(refute_0_3704,plain,
( commutator(Y,X_136) != multiply(X_136,inverse(multiply(X_136,commutator(X_136,Y))))
| multiply(X_136,inverse(multiply(X_136,commutator(X_136,Y)))) = commutator(Y,X_136) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(Y,X_136))),bind(Y0,$fot(multiply(X_136,inverse(multiply(X_136,commutator(X_136,Y))))))]]) ).
cnf(refute_0_3705,plain,
multiply(X_136,inverse(multiply(X_136,commutator(X_136,Y)))) = commutator(Y,X_136),
inference(resolve,[$cnf( $equal(commutator(Y,X_136),multiply(X_136,inverse(multiply(X_136,commutator(X_136,Y))))) )],[refute_0_1923,refute_0_3704]) ).
cnf(refute_0_3706,plain,
multiply(multiply(X_171,X_172),inverse(multiply(multiply(X_171,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))))) = commutator(multiply(X_173,inverse(X_171)),multiply(X_171,X_172)),
inference(subst,[],[refute_0_3705:[bind(Y,$fot(multiply(X_173,inverse(X_171)))),bind(X_136,$fot(multiply(X_171,X_172)))]]) ).
cnf(refute_0_3707,plain,
( multiply(multiply(X_171,X_172),inverse(multiply(multiply(X_171,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))))) != commutator(multiply(X_173,inverse(X_171)),multiply(X_171,X_172))
| commutator(multiply(X_173,X_172),multiply(X_171,X_172)) != multiply(multiply(X_171,X_172),inverse(multiply(multiply(X_171,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))))
| commutator(multiply(X_173,X_172),multiply(X_171,X_172)) = commutator(multiply(X_173,inverse(X_171)),multiply(X_171,X_172)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_173,X_172),multiply(X_171,X_172)),multiply(multiply(X_171,X_172),inverse(multiply(multiply(X_171,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))))) ),[1],$fot(commutator(multiply(X_173,inverse(X_171)),multiply(X_171,X_172)))]]) ).
cnf(refute_0_3708,plain,
( commutator(multiply(X_173,X_172),multiply(X_171,X_172)) != multiply(multiply(X_171,X_172),inverse(multiply(multiply(X_171,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))))
| commutator(multiply(X_173,X_172),multiply(X_171,X_172)) = commutator(multiply(X_173,inverse(X_171)),multiply(X_171,X_172)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_171,X_172),inverse(multiply(multiply(X_171,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))))),commutator(multiply(X_173,inverse(X_171)),multiply(X_171,X_172))) )],[refute_0_3706,refute_0_3707]) ).
cnf(refute_0_3709,plain,
commutator(multiply(X_173,X_172),multiply(X_171,X_172)) = commutator(multiply(X_173,inverse(X_171)),multiply(X_171,X_172)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_173,X_172),multiply(X_171,X_172)),multiply(multiply(X_171,X_172),inverse(multiply(multiply(X_171,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))))) )],[refute_0_3703,refute_0_3708]) ).
cnf(refute_0_3710,plain,
commutator(multiply(X_171,commutator(X_171,multiply(X_173,inverse(X_171)))),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171))))) = commutator(multiply(X_171,inverse(X_173)),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171))))),
inference(subst,[],[refute_0_3709:[bind(X_171,$fot(X_173)),bind(X_172,$fot(commutator(X_171,multiply(X_173,inverse(X_171))))),bind(X_173,$fot(X_171))]]) ).
cnf(refute_0_3711,plain,
( commutator(multiply(X_171,commutator(X_171,multiply(X_173,inverse(X_171)))),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171))))) != commutator(multiply(X_171,inverse(X_173)),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171)))))
| commutator(multiply(X_171,inverse(X_173)),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171))))) != commutator(multiply(X_171,inverse(X_173)),multiply(X_173,commutator(X_171,X_173)))
| commutator(multiply(X_171,commutator(X_171,multiply(X_173,inverse(X_171)))),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171))))) = commutator(multiply(X_171,inverse(X_173)),multiply(X_173,commutator(X_171,X_173))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_171,commutator(X_171,multiply(X_173,inverse(X_171)))),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171))))))),bind(Y0,$fot(commutator(multiply(X_171,inverse(X_173)),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171))))))),bind(Z0,$fot(commutator(multiply(X_171,inverse(X_173)),multiply(X_173,commutator(X_171,X_173)))))]]) ).
cnf(refute_0_3712,plain,
( commutator(multiply(X_171,inverse(X_173)),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171))))) != commutator(multiply(X_171,inverse(X_173)),multiply(X_173,commutator(X_171,X_173)))
| commutator(multiply(X_171,commutator(X_171,multiply(X_173,inverse(X_171)))),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171))))) = commutator(multiply(X_171,inverse(X_173)),multiply(X_173,commutator(X_171,X_173))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_171,commutator(X_171,multiply(X_173,inverse(X_171)))),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171))))),commutator(multiply(X_171,inverse(X_173)),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171)))))) )],[refute_0_3710,refute_0_3711]) ).
cnf(refute_0_3713,plain,
commutator(multiply(X_171,commutator(X_171,multiply(X_173,inverse(X_171)))),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171))))) = commutator(multiply(X_171,inverse(X_173)),multiply(X_173,commutator(X_171,X_173))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_171,inverse(X_173)),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171))))),commutator(multiply(X_171,inverse(X_173)),multiply(X_173,commutator(X_171,X_173)))) )],[refute_0_3698,refute_0_3712]) ).
cnf(refute_0_3714,plain,
( commutator(multiply(X_171,commutator(X_171,multiply(X_173,inverse(X_171)))),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171))))) != commutator(X_171,multiply(X_173,inverse(X_171)))
| commutator(multiply(X_171,commutator(X_171,multiply(X_173,inverse(X_171)))),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171))))) != commutator(multiply(X_171,inverse(X_173)),multiply(X_173,commutator(X_171,X_173)))
| commutator(multiply(X_171,inverse(X_173)),multiply(X_173,commutator(X_171,X_173))) = commutator(X_171,multiply(X_173,inverse(X_171))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_171,commutator(X_171,multiply(X_173,inverse(X_171)))),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171))))),commutator(X_171,multiply(X_173,inverse(X_171)))) ),[0],$fot(commutator(multiply(X_171,inverse(X_173)),multiply(X_173,commutator(X_171,X_173))))]]) ).
cnf(refute_0_3715,plain,
( commutator(multiply(X_171,commutator(X_171,multiply(X_173,inverse(X_171)))),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171))))) != commutator(X_171,multiply(X_173,inverse(X_171)))
| commutator(multiply(X_171,inverse(X_173)),multiply(X_173,commutator(X_171,X_173))) = commutator(X_171,multiply(X_173,inverse(X_171))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_171,commutator(X_171,multiply(X_173,inverse(X_171)))),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171))))),commutator(multiply(X_171,inverse(X_173)),multiply(X_173,commutator(X_171,X_173)))) )],[refute_0_3713,refute_0_3714]) ).
cnf(refute_0_3716,plain,
( commutator(X_171,multiply(X_173,inverse(X_171))) != commutator(X_171,X_173)
| commutator(multiply(X_171,inverse(X_173)),multiply(X_173,commutator(X_171,X_173))) != commutator(X_171,multiply(X_173,inverse(X_171)))
| commutator(multiply(X_171,inverse(X_173)),multiply(X_173,commutator(X_171,X_173))) = commutator(X_171,X_173) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_171,inverse(X_173)),multiply(X_173,commutator(X_171,X_173))),commutator(X_171,multiply(X_173,inverse(X_171)))) ),[1],$fot(commutator(X_171,X_173))]]) ).
cnf(refute_0_3717,plain,
( commutator(multiply(X_171,inverse(X_173)),multiply(X_173,commutator(X_171,X_173))) != commutator(X_171,multiply(X_173,inverse(X_171)))
| commutator(multiply(X_171,inverse(X_173)),multiply(X_173,commutator(X_171,X_173))) = commutator(X_171,X_173) ),
inference(resolve,[$cnf( $equal(commutator(X_171,multiply(X_173,inverse(X_171))),commutator(X_171,X_173)) )],[refute_0_3471,refute_0_3716]) ).
cnf(refute_0_3718,plain,
( commutator(multiply(X_171,commutator(X_171,multiply(X_173,inverse(X_171)))),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171))))) != commutator(X_171,multiply(X_173,inverse(X_171)))
| commutator(multiply(X_171,inverse(X_173)),multiply(X_173,commutator(X_171,X_173))) = commutator(X_171,X_173) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_171,inverse(X_173)),multiply(X_173,commutator(X_171,X_173))),commutator(X_171,multiply(X_173,inverse(X_171)))) )],[refute_0_3715,refute_0_3717]) ).
cnf(refute_0_3719,plain,
commutator(multiply(X_171,inverse(X_173)),multiply(X_173,commutator(X_171,X_173))) = commutator(X_171,X_173),
inference(resolve,[$cnf( $equal(commutator(multiply(X_171,commutator(X_171,multiply(X_173,inverse(X_171)))),multiply(X_173,commutator(X_171,multiply(X_173,inverse(X_171))))),commutator(X_171,multiply(X_173,inverse(X_171)))) )],[refute_0_3690,refute_0_3718]) ).
cnf(refute_0_3720,plain,
commutator(multiply(X_167,inverse(X_135)),multiply(X_135,commutator(X_167,X_135))) = commutator(X_167,X_135),
inference(subst,[],[refute_0_3719:[bind(X_171,$fot(X_167)),bind(X_173,$fot(X_135))]]) ).
cnf(refute_0_3721,plain,
commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))) = commutator(multiply(X_167,inverse(X_135)),multiply(X_135,commutator(X_167,X_135))),
inference(subst,[],[refute_0_2364:[bind(X_10,$fot(multiply(X_135,commutator(X_167,X_135)))),bind(X_171,$fot(X_135)),bind(X_173,$fot(X_167))]]) ).
cnf(refute_0_3722,plain,
( commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))) != commutator(multiply(X_167,inverse(X_135)),multiply(X_135,commutator(X_167,X_135)))
| commutator(multiply(X_167,inverse(X_135)),multiply(X_135,commutator(X_167,X_135))) != commutator(X_167,X_135)
| commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))) = commutator(X_167,X_135) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))))),bind(Y0,$fot(commutator(multiply(X_167,inverse(X_135)),multiply(X_135,commutator(X_167,X_135))))),bind(Z0,$fot(commutator(X_167,X_135)))]]) ).
cnf(refute_0_3723,plain,
( commutator(multiply(X_167,inverse(X_135)),multiply(X_135,commutator(X_167,X_135))) != commutator(X_167,X_135)
| commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))) = commutator(X_167,X_135) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),commutator(multiply(X_167,inverse(X_135)),multiply(X_135,commutator(X_167,X_135)))) )],[refute_0_3721,refute_0_3722]) ).
cnf(refute_0_3724,plain,
commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))) = commutator(X_167,X_135),
inference(resolve,[$cnf( $equal(commutator(multiply(X_167,inverse(X_135)),multiply(X_135,commutator(X_167,X_135))),commutator(X_167,X_135)) )],[refute_0_3720,refute_0_3723]) ).
cnf(refute_0_3725,plain,
multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332) = multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332),
introduced(tautology,[refl,[$fot(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332))]]) ).
cnf(refute_0_3726,plain,
( multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332) != multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)
| commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))) != commutator(X_167,X_135)
| multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332) = multiply(commutator(X_167,X_135),X_332) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332),multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)) ),[1,0],$fot(commutator(X_167,X_135))]]) ).
cnf(refute_0_3727,plain,
( commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))) != commutator(X_167,X_135)
| multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332) = multiply(commutator(X_167,X_135),X_332) ),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332),multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)) )],[refute_0_3725,refute_0_3726]) ).
cnf(refute_0_3728,plain,
multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332) = multiply(commutator(X_167,X_135),X_332),
inference(resolve,[$cnf( $equal(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),commutator(X_167,X_135)) )],[refute_0_3724,refute_0_3727]) ).
cnf(refute_0_3729,plain,
inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)) = inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)),
introduced(tautology,[refl,[$fot(inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)))]]) ).
cnf(refute_0_3730,plain,
( multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332) != multiply(commutator(X_167,X_135),X_332)
| inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)) != inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332))
| inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)) = inverse(multiply(commutator(X_167,X_135),X_332)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)),inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332))) ),[1,0],$fot(multiply(commutator(X_167,X_135),X_332))]]) ).
cnf(refute_0_3731,plain,
( multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332) != multiply(commutator(X_167,X_135),X_332)
| inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)) = inverse(multiply(commutator(X_167,X_135),X_332)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)),inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332))) )],[refute_0_3729,refute_0_3730]) ).
cnf(refute_0_3732,plain,
inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)) = inverse(multiply(commutator(X_167,X_135),X_332)),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332),multiply(commutator(X_167,X_135),X_332)) )],[refute_0_3728,refute_0_3731]) ).
cnf(refute_0_3733,plain,
multiply(inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)),X_332) = multiply(inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)),X_332),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)),X_332))]]) ).
cnf(refute_0_3734,plain,
( multiply(inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)),X_332) != multiply(inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)),X_332)
| inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)) != inverse(multiply(commutator(X_167,X_135),X_332))
| multiply(inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)),X_332) = multiply(inverse(multiply(commutator(X_167,X_135),X_332)),X_332) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)),X_332),multiply(inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)),X_332)) ),[1,0],$fot(inverse(multiply(commutator(X_167,X_135),X_332)))]]) ).
cnf(refute_0_3735,plain,
( inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)) != inverse(multiply(commutator(X_167,X_135),X_332))
| multiply(inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)),X_332) = multiply(inverse(multiply(commutator(X_167,X_135),X_332)),X_332) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)),X_332),multiply(inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)),X_332)) )],[refute_0_3733,refute_0_3734]) ).
cnf(refute_0_3736,plain,
multiply(inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)),X_332) = multiply(inverse(multiply(commutator(X_167,X_135),X_332)),X_332),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)),inverse(multiply(commutator(X_167,X_135),X_332))) )],[refute_0_3732,refute_0_3735]) ).
cnf(refute_0_3737,plain,
( multiply(commutator(X_135,X_167),commutator(X_332,commutator(X_135,X_167))) != multiply(inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)),X_332)
| multiply(inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)),X_332) != multiply(inverse(multiply(commutator(X_167,X_135),X_332)),X_332)
| multiply(commutator(X_135,X_167),commutator(X_332,commutator(X_135,X_167))) = multiply(inverse(multiply(commutator(X_167,X_135),X_332)),X_332) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(commutator(X_135,X_167),commutator(X_332,commutator(X_135,X_167))),multiply(inverse(multiply(commutator(X_167,X_135),X_332)),X_332)) ),[0],$fot(multiply(inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)),X_332))]]) ).
cnf(refute_0_3738,plain,
( multiply(commutator(X_135,X_167),commutator(X_332,commutator(X_135,X_167))) != multiply(inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)),X_332)
| multiply(commutator(X_135,X_167),commutator(X_332,commutator(X_135,X_167))) = multiply(inverse(multiply(commutator(X_167,X_135),X_332)),X_332) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)),X_332),multiply(inverse(multiply(commutator(X_167,X_135),X_332)),X_332)) )],[refute_0_3736,refute_0_3737]) ).
cnf(refute_0_3739,plain,
( multiply(commutator(X_332,commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167)))),commutator(X_135,X_167)) != multiply(inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)),X_332)
| multiply(commutator(X_135,X_167),commutator(X_332,commutator(X_135,X_167))) = multiply(inverse(multiply(commutator(X_167,X_135),X_332)),X_332) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_135,X_167),commutator(X_332,commutator(X_135,X_167))),multiply(inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)),X_332)) )],[refute_0_3685,refute_0_3738]) ).
cnf(refute_0_3740,plain,
multiply(commutator(X_135,X_167),commutator(X_332,commutator(X_135,X_167))) = multiply(inverse(multiply(commutator(X_167,X_135),X_332)),X_332),
inference(resolve,[$cnf( $equal(multiply(commutator(X_332,commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167)))),commutator(X_135,X_167)),multiply(inverse(multiply(commutator(multiply(X_135,commutator(X_167,X_135)),multiply(X_135,inverse(X_167))),X_332)),X_332)) )],[refute_0_3614,refute_0_3739]) ).
cnf(refute_0_3741,plain,
( multiply(commutator(X_135,X_167),commutator(X_332,commutator(X_135,X_167))) != multiply(inverse(multiply(commutator(X_167,X_135),X_332)),X_332)
| multiply(inverse(multiply(commutator(X_167,X_135),X_332)),X_332) = multiply(commutator(X_135,X_167),commutator(X_332,commutator(X_135,X_167))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(commutator(X_135,X_167),commutator(X_332,commutator(X_135,X_167))))),bind(Y0,$fot(multiply(inverse(multiply(commutator(X_167,X_135),X_332)),X_332)))]]) ).
cnf(refute_0_3742,plain,
multiply(inverse(multiply(commutator(X_167,X_135),X_332)),X_332) = multiply(commutator(X_135,X_167),commutator(X_332,commutator(X_135,X_167))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_135,X_167),commutator(X_332,commutator(X_135,X_167))),multiply(inverse(multiply(commutator(X_167,X_135),X_332)),X_332)) )],[refute_0_3740,refute_0_3741]) ).
cnf(refute_0_3743,plain,
multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_128,commutator(X_128,commutator(X_334,X_333))))),multiply(X_128,commutator(X_128,commutator(X_334,X_333)))) = multiply(commutator(X_333,X_334),commutator(multiply(X_128,commutator(X_128,commutator(X_334,X_333))),commutator(X_333,X_334))),
inference(subst,[],[refute_0_3742:[bind(X_135,$fot(X_333)),bind(X_167,$fot(X_334)),bind(X_332,$fot(multiply(X_128,commutator(X_128,commutator(X_334,X_333)))))]]) ).
cnf(refute_0_3744,plain,
( multiply(commutator(X_333,X_334),commutator(multiply(X_128,commutator(X_128,commutator(X_334,X_333))),commutator(X_333,X_334))) != multiply(commutator(X_333,X_334),commutator(X_333,commutator(X_334,X_128)))
| multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_128,commutator(X_128,commutator(X_334,X_333))))),multiply(X_128,commutator(X_128,commutator(X_334,X_333)))) != multiply(commutator(X_333,X_334),commutator(multiply(X_128,commutator(X_128,commutator(X_334,X_333))),commutator(X_333,X_334)))
| multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_128,commutator(X_128,commutator(X_334,X_333))))),multiply(X_128,commutator(X_128,commutator(X_334,X_333)))) = multiply(commutator(X_333,X_334),commutator(X_333,commutator(X_334,X_128))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_128,commutator(X_128,commutator(X_334,X_333))))),multiply(X_128,commutator(X_128,commutator(X_334,X_333)))))),bind(Y0,$fot(multiply(commutator(X_333,X_334),commutator(multiply(X_128,commutator(X_128,commutator(X_334,X_333))),commutator(X_333,X_334))))),bind(Z0,$fot(multiply(commutator(X_333,X_334),commutator(X_333,commutator(X_334,X_128)))))]]) ).
cnf(refute_0_3745,plain,
( multiply(commutator(X_333,X_334),commutator(multiply(X_128,commutator(X_128,commutator(X_334,X_333))),commutator(X_333,X_334))) != multiply(commutator(X_333,X_334),commutator(X_333,commutator(X_334,X_128)))
| multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_128,commutator(X_128,commutator(X_334,X_333))))),multiply(X_128,commutator(X_128,commutator(X_334,X_333)))) = multiply(commutator(X_333,X_334),commutator(X_333,commutator(X_334,X_128))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_128,commutator(X_128,commutator(X_334,X_333))))),multiply(X_128,commutator(X_128,commutator(X_334,X_333)))),multiply(commutator(X_333,X_334),commutator(multiply(X_128,commutator(X_128,commutator(X_334,X_333))),commutator(X_333,X_334)))) )],[refute_0_3743,refute_0_3744]) ).
cnf(refute_0_3746,plain,
multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_128,commutator(X_128,commutator(X_334,X_333))))),multiply(X_128,commutator(X_128,commutator(X_334,X_333)))) = multiply(commutator(X_333,X_334),commutator(X_333,commutator(X_334,X_128))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_333,X_334),commutator(multiply(X_128,commutator(X_128,commutator(X_334,X_333))),commutator(X_333,X_334))),multiply(commutator(X_333,X_334),commutator(X_333,commutator(X_334,X_128)))) )],[refute_0_3610,refute_0_3745]) ).
cnf(refute_0_3747,plain,
( multiply(commutator(X_128,commutator(X_334,X_333)),commutator(X_333,X_334)) != multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_128,commutator(X_128,commutator(X_334,X_333))))),multiply(X_128,commutator(X_128,commutator(X_334,X_333))))
| multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_128,commutator(X_128,commutator(X_334,X_333))))),multiply(X_128,commutator(X_128,commutator(X_334,X_333)))) != multiply(commutator(X_333,X_334),commutator(X_333,commutator(X_334,X_128)))
| multiply(commutator(X_128,commutator(X_334,X_333)),commutator(X_333,X_334)) = multiply(commutator(X_333,X_334),commutator(X_333,commutator(X_334,X_128))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(commutator(X_128,commutator(X_334,X_333)),commutator(X_333,X_334)),multiply(commutator(X_333,X_334),commutator(X_333,commutator(X_334,X_128)))) ),[0],$fot(multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_128,commutator(X_128,commutator(X_334,X_333))))),multiply(X_128,commutator(X_128,commutator(X_334,X_333)))))]]) ).
cnf(refute_0_3748,plain,
( multiply(commutator(X_128,commutator(X_334,X_333)),commutator(X_333,X_334)) != multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_128,commutator(X_128,commutator(X_334,X_333))))),multiply(X_128,commutator(X_128,commutator(X_334,X_333))))
| multiply(commutator(X_128,commutator(X_334,X_333)),commutator(X_333,X_334)) = multiply(commutator(X_333,X_334),commutator(X_333,commutator(X_334,X_128))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_128,commutator(X_128,commutator(X_334,X_333))))),multiply(X_128,commutator(X_128,commutator(X_334,X_333)))),multiply(commutator(X_333,X_334),commutator(X_333,commutator(X_334,X_128)))) )],[refute_0_3746,refute_0_3747]) ).
cnf(refute_0_3749,plain,
multiply(commutator(X_128,commutator(X_334,X_333)),commutator(X_333,X_334)) = multiply(commutator(X_333,X_334),commutator(X_333,commutator(X_334,X_128))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_128,commutator(X_334,X_333)),commutator(X_333,X_334)),multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_128,commutator(X_128,commutator(X_334,X_333))))),multiply(X_128,commutator(X_128,commutator(X_334,X_333))))) )],[refute_0_3220,refute_0_3748]) ).
cnf(refute_0_3750,plain,
multiply(commutator(Y,commutator(X_282,X_283)),commutator(X_283,X_282)) = multiply(commutator(X_283,X_282),commutator(X_283,commutator(X_282,Y))),
inference(subst,[],[refute_0_3749:[bind(X_128,$fot(Y)),bind(X_333,$fot(X_283)),bind(X_334,$fot(X_282))]]) ).
cnf(refute_0_3751,plain,
commutator(commutator(Y,X_282),X_283) = commutator(Y,commutator(X_282,X_283)),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(Y)),bind(Y,$fot(X_282)),bind(Z,$fot(X_283))]]) ).
cnf(refute_0_3752,plain,
multiply(commutator(commutator(Y,X_282),X_283),commutator(X_283,X_282)) = multiply(commutator(commutator(Y,X_282),X_283),commutator(X_283,X_282)),
introduced(tautology,[refl,[$fot(multiply(commutator(commutator(Y,X_282),X_283),commutator(X_283,X_282)))]]) ).
cnf(refute_0_3753,plain,
( multiply(commutator(commutator(Y,X_282),X_283),commutator(X_283,X_282)) != multiply(commutator(commutator(Y,X_282),X_283),commutator(X_283,X_282))
| commutator(commutator(Y,X_282),X_283) != commutator(Y,commutator(X_282,X_283))
| multiply(commutator(commutator(Y,X_282),X_283),commutator(X_283,X_282)) = multiply(commutator(Y,commutator(X_282,X_283)),commutator(X_283,X_282)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(commutator(Y,X_282),X_283),commutator(X_283,X_282)),multiply(commutator(commutator(Y,X_282),X_283),commutator(X_283,X_282))) ),[1,0],$fot(commutator(Y,commutator(X_282,X_283)))]]) ).
cnf(refute_0_3754,plain,
( commutator(commutator(Y,X_282),X_283) != commutator(Y,commutator(X_282,X_283))
| multiply(commutator(commutator(Y,X_282),X_283),commutator(X_283,X_282)) = multiply(commutator(Y,commutator(X_282,X_283)),commutator(X_283,X_282)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(commutator(Y,X_282),X_283),commutator(X_283,X_282)),multiply(commutator(commutator(Y,X_282),X_283),commutator(X_283,X_282))) )],[refute_0_3752,refute_0_3753]) ).
cnf(refute_0_3755,plain,
multiply(commutator(commutator(Y,X_282),X_283),commutator(X_283,X_282)) = multiply(commutator(Y,commutator(X_282,X_283)),commutator(X_283,X_282)),
inference(resolve,[$cnf( $equal(commutator(commutator(Y,X_282),X_283),commutator(Y,commutator(X_282,X_283))) )],[refute_0_3751,refute_0_3754]) ).
cnf(refute_0_3756,plain,
( multiply(commutator(Y,commutator(X_282,X_283)),commutator(X_283,X_282)) != multiply(commutator(X_283,X_282),commutator(X_283,commutator(X_282,Y)))
| multiply(commutator(commutator(Y,X_282),X_283),commutator(X_283,X_282)) != multiply(commutator(Y,commutator(X_282,X_283)),commutator(X_283,X_282))
| multiply(commutator(commutator(Y,X_282),X_283),commutator(X_283,X_282)) = multiply(commutator(X_283,X_282),commutator(X_283,commutator(X_282,Y))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(commutator(Y,X_282),X_283),commutator(X_283,X_282)))),bind(Y0,$fot(multiply(commutator(Y,commutator(X_282,X_283)),commutator(X_283,X_282)))),bind(Z0,$fot(multiply(commutator(X_283,X_282),commutator(X_283,commutator(X_282,Y)))))]]) ).
cnf(refute_0_3757,plain,
( multiply(commutator(Y,commutator(X_282,X_283)),commutator(X_283,X_282)) != multiply(commutator(X_283,X_282),commutator(X_283,commutator(X_282,Y)))
| multiply(commutator(commutator(Y,X_282),X_283),commutator(X_283,X_282)) = multiply(commutator(X_283,X_282),commutator(X_283,commutator(X_282,Y))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(commutator(Y,X_282),X_283),commutator(X_283,X_282)),multiply(commutator(Y,commutator(X_282,X_283)),commutator(X_283,X_282))) )],[refute_0_3755,refute_0_3756]) ).
cnf(refute_0_3758,plain,
multiply(commutator(commutator(Y,X_282),X_283),commutator(X_283,X_282)) = multiply(commutator(X_283,X_282),commutator(X_283,commutator(X_282,Y))),
inference(resolve,[$cnf( $equal(multiply(commutator(Y,commutator(X_282,X_283)),commutator(X_283,X_282)),multiply(commutator(X_283,X_282),commutator(X_283,commutator(X_282,Y)))) )],[refute_0_3750,refute_0_3757]) ).
cnf(refute_0_3759,plain,
inverse(multiply(commutator(Y,X),commutator(X_535,X_534))) = multiply(commutator(X_534,X_535),inverse(commutator(Y,X))),
inference(subst,[],[refute_0_376:[bind(X_58,$fot(commutator(Y,X))),bind(X_65,$fot(X_534)),bind(X_66,$fot(X_535))]]) ).
cnf(refute_0_3760,plain,
( inverse(multiply(commutator(Y,X),commutator(X_535,X_534))) != multiply(commutator(X_534,X_535),inverse(commutator(Y,X)))
| inverse(commutator(Y,X)) != commutator(X,Y)
| inverse(multiply(commutator(Y,X),commutator(X_535,X_534))) = multiply(commutator(X_534,X_535),commutator(X,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(commutator(Y,X),commutator(X_535,X_534))),multiply(commutator(X_534,X_535),inverse(commutator(Y,X)))) ),[1,1],$fot(commutator(X,Y))]]) ).
cnf(refute_0_3761,plain,
( inverse(multiply(commutator(Y,X),commutator(X_535,X_534))) != multiply(commutator(X_534,X_535),inverse(commutator(Y,X)))
| inverse(multiply(commutator(Y,X),commutator(X_535,X_534))) = multiply(commutator(X_534,X_535),commutator(X,Y)) ),
inference(resolve,[$cnf( $equal(inverse(commutator(Y,X)),commutator(X,Y)) )],[refute_0_386,refute_0_3760]) ).
cnf(refute_0_3762,plain,
inverse(multiply(commutator(Y,X),commutator(X_535,X_534))) = multiply(commutator(X_534,X_535),commutator(X,Y)),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(Y,X),commutator(X_535,X_534))),multiply(commutator(X_534,X_535),inverse(commutator(Y,X)))) )],[refute_0_3759,refute_0_3761]) ).
cnf(refute_0_3763,plain,
inverse(multiply(commutator(X_282,X_283),commutator(X_283,commutator(Y,X_282)))) = multiply(commutator(commutator(Y,X_282),X_283),commutator(X_283,X_282)),
inference(subst,[],[refute_0_3762:[bind(X,$fot(X_283)),bind(Y,$fot(X_282)),bind(X_534,$fot(commutator(Y,X_282))),bind(X_535,$fot(X_283))]]) ).
cnf(refute_0_3764,plain,
( multiply(commutator(commutator(Y,X_282),X_283),commutator(X_283,X_282)) != multiply(commutator(X_283,X_282),commutator(X_283,commutator(X_282,Y)))
| inverse(multiply(commutator(X_282,X_283),commutator(X_283,commutator(Y,X_282)))) != multiply(commutator(commutator(Y,X_282),X_283),commutator(X_283,X_282))
| inverse(multiply(commutator(X_282,X_283),commutator(X_283,commutator(Y,X_282)))) = multiply(commutator(X_283,X_282),commutator(X_283,commutator(X_282,Y))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(commutator(X_282,X_283),commutator(X_283,commutator(Y,X_282)))))),bind(Y0,$fot(multiply(commutator(commutator(Y,X_282),X_283),commutator(X_283,X_282)))),bind(Z0,$fot(multiply(commutator(X_283,X_282),commutator(X_283,commutator(X_282,Y)))))]]) ).
cnf(refute_0_3765,plain,
( multiply(commutator(commutator(Y,X_282),X_283),commutator(X_283,X_282)) != multiply(commutator(X_283,X_282),commutator(X_283,commutator(X_282,Y)))
| inverse(multiply(commutator(X_282,X_283),commutator(X_283,commutator(Y,X_282)))) = multiply(commutator(X_283,X_282),commutator(X_283,commutator(X_282,Y))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_282,X_283),commutator(X_283,commutator(Y,X_282)))),multiply(commutator(commutator(Y,X_282),X_283),commutator(X_283,X_282))) )],[refute_0_3763,refute_0_3764]) ).
cnf(refute_0_3766,plain,
inverse(multiply(commutator(X_282,X_283),commutator(X_283,commutator(Y,X_282)))) = multiply(commutator(X_283,X_282),commutator(X_283,commutator(X_282,Y))),
inference(resolve,[$cnf( $equal(multiply(commutator(commutator(Y,X_282),X_283),commutator(X_283,X_282)),multiply(commutator(X_283,X_282),commutator(X_283,commutator(X_282,Y)))) )],[refute_0_3758,refute_0_3765]) ).
cnf(refute_0_3767,plain,
( multiply(commutator(X_282,commutator(X_283,Y)),commutator(X_283,X_282)) != inverse(multiply(commutator(X_282,X_283),commutator(X_283,commutator(Y,X_282))))
| inverse(multiply(commutator(X_282,X_283),commutator(X_283,commutator(Y,X_282)))) != multiply(commutator(X_283,X_282),commutator(X_283,commutator(X_282,Y)))
| multiply(commutator(X_282,commutator(X_283,Y)),commutator(X_283,X_282)) = multiply(commutator(X_283,X_282),commutator(X_283,commutator(X_282,Y))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(commutator(X_282,commutator(X_283,Y)),commutator(X_283,X_282)),multiply(commutator(X_283,X_282),commutator(X_283,commutator(X_282,Y)))) ),[0],$fot(inverse(multiply(commutator(X_282,X_283),commutator(X_283,commutator(Y,X_282)))))]]) ).
cnf(refute_0_3768,plain,
( multiply(commutator(X_282,commutator(X_283,Y)),commutator(X_283,X_282)) != inverse(multiply(commutator(X_282,X_283),commutator(X_283,commutator(Y,X_282))))
| multiply(commutator(X_282,commutator(X_283,Y)),commutator(X_283,X_282)) = multiply(commutator(X_283,X_282),commutator(X_283,commutator(X_282,Y))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_282,X_283),commutator(X_283,commutator(Y,X_282)))),multiply(commutator(X_283,X_282),commutator(X_283,commutator(X_282,Y)))) )],[refute_0_3766,refute_0_3767]) ).
cnf(refute_0_3769,plain,
multiply(commutator(X_282,commutator(X_283,Y)),commutator(X_283,X_282)) = multiply(commutator(X_283,X_282),commutator(X_283,commutator(X_282,Y))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_282,commutator(X_283,Y)),commutator(X_283,X_282)),inverse(multiply(commutator(X_282,X_283),commutator(X_283,commutator(Y,X_282))))) )],[refute_0_3201,refute_0_3768]) ).
cnf(refute_0_3770,plain,
multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)) = multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27))),
inference(subst,[],[refute_0_3769:[bind(Y,$fot(X_27)),bind(X_282,$fot(X_471)),bind(X_283,$fot(X_470))]]) ).
cnf(refute_0_3771,plain,
multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))) = multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))),
introduced(tautology,[refl,[$fot(multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))]]) ).
cnf(refute_0_3772,plain,
( multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))) != multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))
| multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)) != multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))
| multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))) = multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))),multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))) ),[1,1],$fot(multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27))))]]) ).
cnf(refute_0_3773,plain,
( multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)) != multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))
| multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))) = multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))) ),
inference(resolve,[$cnf( $equal(multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))),multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))) )],[refute_0_3771,refute_0_3772]) ).
cnf(refute_0_3774,plain,
multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))) = multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)),multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))) )],[refute_0_3770,refute_0_3773]) ).
cnf(refute_0_3775,plain,
multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))) = multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))),
introduced(tautology,[refl,[$fot(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))]]) ).
cnf(refute_0_3776,plain,
( multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))) != multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))
| multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))) != multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27))))
| multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))) = multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))),multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))) ),[1,1],$fot(multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))]]) ).
cnf(refute_0_3777,plain,
( multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))) != multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27))))
| multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))) = multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27))))) ),
inference(resolve,[$cnf( $equal(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))),multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))) )],[refute_0_3775,refute_0_3776]) ).
cnf(refute_0_3778,plain,
multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))) = multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27))))),
inference(resolve,[$cnf( $equal(multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))),multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27))))) )],[refute_0_3774,refute_0_3777]) ).
cnf(refute_0_3779,plain,
inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))) = inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))))]]) ).
cnf(refute_0_3780,plain,
( multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))) != multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))
| inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))) != inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))
| inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))) = inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))) ),[1,0],$fot(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27))))))]]) ).
cnf(refute_0_3781,plain,
( multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))) != multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))
| inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))) = inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))))) )],[refute_0_3779,refute_0_3780]) ).
cnf(refute_0_3782,plain,
inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))) = inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),
inference(resolve,[$cnf( $equal(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471)))),multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))) )],[refute_0_3778,refute_0_3781]) ).
cnf(refute_0_3783,plain,
multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) = multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))]]) ).
cnf(refute_0_3784,plain,
( multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) != multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))
| inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))) != inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27))))))
| multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) = multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))),multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) ),[1,0],$fot(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))))]]) ).
cnf(refute_0_3785,plain,
( inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))) != inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27))))))
| multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) = multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))),multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) )],[refute_0_3783,refute_0_3784]) ).
cnf(refute_0_3786,plain,
multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) = multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27))))))) )],[refute_0_3782,refute_0_3785]) ).
cnf(refute_0_3787,plain,
multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) = multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))),
introduced(tautology,[refl,[$fot(multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))))]]) ).
cnf(refute_0_3788,plain,
( multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) != multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))
| multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) != multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))
| multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) = multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))),multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))) ),[1,1],$fot(multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))]]) ).
cnf(refute_0_3789,plain,
( multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) != multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))
| multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) = multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) ),
inference(resolve,[$cnf( $equal(multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))),multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))) )],[refute_0_3787,refute_0_3788]) ).
cnf(refute_0_3790,plain,
multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) = multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))),multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) )],[refute_0_3786,refute_0_3789]) ).
cnf(refute_0_3791,plain,
( multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) != multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))
| commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470)))) != multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))
| commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470)))) = multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))) ),[1],$fot(multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))))]]) ).
cnf(refute_0_3792,plain,
( commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470)))) != multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))
| commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470)))) = multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) ),
inference(resolve,[$cnf( $equal(multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))),multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))) )],[refute_0_3790,refute_0_3791]) ).
cnf(refute_0_3793,plain,
commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470)))) = multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))),
inference(resolve,[$cnf( $equal(commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_471,commutator(X_470,X_27)),commutator(X_470,X_471))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))) )],[refute_0_2800,refute_0_3792]) ).
cnf(refute_0_3794,plain,
commutator(X_10,multiply(X_162,commutator(X_10,X_436))) = multiply(X_10,multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(commutator(X_10,X_436),X_10)))))),
inference(subst,[],[refute_0_3260:[bind(X_161,$fot(commutator(X_10,X_436)))]]) ).
cnf(refute_0_3795,plain,
multiply(commutator(X_10,X_436),X_10) = multiply(X_10,commutator(X_10,X_436)),
inference(subst,[],[refute_0_2195:[bind(X_102,$fot(X_436)),bind(X_58,$fot(X_10))]]) ).
cnf(refute_0_3796,plain,
( multiply(commutator(X_10,X_436),X_10) != multiply(X_10,commutator(X_10,X_436))
| commutator(X_10,multiply(X_162,commutator(X_10,X_436))) != multiply(X_10,multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(commutator(X_10,X_436),X_10))))))
| commutator(X_10,multiply(X_162,commutator(X_10,X_436))) = multiply(X_10,multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436))))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_10,multiply(X_162,commutator(X_10,X_436))),multiply(X_10,multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(commutator(X_10,X_436),X_10))))))) ),[1,1,1,1,0,1],$fot(multiply(X_10,commutator(X_10,X_436)))]]) ).
cnf(refute_0_3797,plain,
( commutator(X_10,multiply(X_162,commutator(X_10,X_436))) != multiply(X_10,multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(commutator(X_10,X_436),X_10))))))
| commutator(X_10,multiply(X_162,commutator(X_10,X_436))) = multiply(X_10,multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436))))))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_10,X_436),X_10),multiply(X_10,commutator(X_10,X_436))) )],[refute_0_3795,refute_0_3796]) ).
cnf(refute_0_3798,plain,
commutator(X_10,multiply(X_162,commutator(X_10,X_436))) = multiply(X_10,multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436))))))),
inference(resolve,[$cnf( $equal(commutator(X_10,multiply(X_162,commutator(X_10,X_436))),multiply(X_10,multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(commutator(X_10,X_436),X_10))))))) )],[refute_0_3794,refute_0_3797]) ).
cnf(refute_0_3799,plain,
multiply(X_10,multiply(X_162,inverse(multiply(X_162,X_10)))) = commutator(X_10,X_162),
inference(subst,[],[refute_0_1319:[bind(X_27,$fot(X_162)),bind(X_41,$fot(X_10))]]) ).
cnf(refute_0_3800,plain,
multiply(X_10,identity) = X_10,
inference(subst,[],[refute_0_100:[bind(X_16,$fot(X_10))]]) ).
cnf(refute_0_3801,plain,
multiply(commutator(X_10,X_436),commutator(X_436,X_10)) = identity,
inference(subst,[],[refute_0_3204:[bind(X_65,$fot(X_436)),bind(X_66,$fot(X_10))]]) ).
cnf(refute_0_3802,plain,
multiply(X_10,multiply(commutator(X_10,X_436),commutator(X_436,X_10))) = multiply(X_10,multiply(commutator(X_10,X_436),commutator(X_436,X_10))),
introduced(tautology,[refl,[$fot(multiply(X_10,multiply(commutator(X_10,X_436),commutator(X_436,X_10))))]]) ).
cnf(refute_0_3803,plain,
( multiply(X_10,multiply(commutator(X_10,X_436),commutator(X_436,X_10))) != multiply(X_10,multiply(commutator(X_10,X_436),commutator(X_436,X_10)))
| multiply(commutator(X_10,X_436),commutator(X_436,X_10)) != identity
| multiply(X_10,multiply(commutator(X_10,X_436),commutator(X_436,X_10))) = multiply(X_10,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_10,multiply(commutator(X_10,X_436),commutator(X_436,X_10))),multiply(X_10,multiply(commutator(X_10,X_436),commutator(X_436,X_10)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_3804,plain,
( multiply(commutator(X_10,X_436),commutator(X_436,X_10)) != identity
| multiply(X_10,multiply(commutator(X_10,X_436),commutator(X_436,X_10))) = multiply(X_10,identity) ),
inference(resolve,[$cnf( $equal(multiply(X_10,multiply(commutator(X_10,X_436),commutator(X_436,X_10))),multiply(X_10,multiply(commutator(X_10,X_436),commutator(X_436,X_10)))) )],[refute_0_3802,refute_0_3803]) ).
cnf(refute_0_3805,plain,
multiply(X_10,multiply(commutator(X_10,X_436),commutator(X_436,X_10))) = multiply(X_10,identity),
inference(resolve,[$cnf( $equal(multiply(commutator(X_10,X_436),commutator(X_436,X_10)),identity) )],[refute_0_3801,refute_0_3804]) ).
cnf(refute_0_3806,plain,
( multiply(X_10,multiply(commutator(X_10,X_436),commutator(X_436,X_10))) != multiply(X_10,identity)
| multiply(X_10,identity) != X_10
| multiply(X_10,multiply(commutator(X_10,X_436),commutator(X_436,X_10))) = X_10 ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_10,multiply(commutator(X_10,X_436),commutator(X_436,X_10))))),bind(Y0,$fot(multiply(X_10,identity))),bind(Z0,$fot(X_10))]]) ).
cnf(refute_0_3807,plain,
( multiply(X_10,identity) != X_10
| multiply(X_10,multiply(commutator(X_10,X_436),commutator(X_436,X_10))) = X_10 ),
inference(resolve,[$cnf( $equal(multiply(X_10,multiply(commutator(X_10,X_436),commutator(X_436,X_10))),multiply(X_10,identity)) )],[refute_0_3805,refute_0_3806]) ).
cnf(refute_0_3808,plain,
multiply(X_10,multiply(commutator(X_10,X_436),commutator(X_436,X_10))) = X_10,
inference(resolve,[$cnf( $equal(multiply(X_10,identity),X_10) )],[refute_0_3800,refute_0_3807]) ).
cnf(refute_0_3809,plain,
multiply(multiply(X_10,commutator(X_10,X_436)),commutator(X_436,X_10)) = multiply(X_10,multiply(commutator(X_10,X_436),commutator(X_436,X_10))),
inference(subst,[],[associativity:[bind(X,$fot(X_10)),bind(Y,$fot(commutator(X_10,X_436))),bind(Z,$fot(commutator(X_436,X_10)))]]) ).
cnf(refute_0_3810,plain,
( multiply(X_10,multiply(commutator(X_10,X_436),commutator(X_436,X_10))) != X_10
| multiply(multiply(X_10,commutator(X_10,X_436)),commutator(X_436,X_10)) != multiply(X_10,multiply(commutator(X_10,X_436),commutator(X_436,X_10)))
| multiply(multiply(X_10,commutator(X_10,X_436)),commutator(X_436,X_10)) = X_10 ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_10,commutator(X_10,X_436)),commutator(X_436,X_10)))),bind(Y0,$fot(multiply(X_10,multiply(commutator(X_10,X_436),commutator(X_436,X_10))))),bind(Z0,$fot(X_10))]]) ).
cnf(refute_0_3811,plain,
( multiply(X_10,multiply(commutator(X_10,X_436),commutator(X_436,X_10))) != X_10
| multiply(multiply(X_10,commutator(X_10,X_436)),commutator(X_436,X_10)) = X_10 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_10,commutator(X_10,X_436)),commutator(X_436,X_10)),multiply(X_10,multiply(commutator(X_10,X_436),commutator(X_436,X_10)))) )],[refute_0_3809,refute_0_3810]) ).
cnf(refute_0_3812,plain,
multiply(multiply(X_10,commutator(X_10,X_436)),commutator(X_436,X_10)) = X_10,
inference(resolve,[$cnf( $equal(multiply(X_10,multiply(commutator(X_10,X_436),commutator(X_436,X_10))),X_10) )],[refute_0_3808,refute_0_3811]) ).
cnf(refute_0_3813,plain,
multiply(X_162,multiply(multiply(X_10,commutator(X_10,X_436)),commutator(X_436,X_10))) = multiply(X_162,multiply(multiply(X_10,commutator(X_10,X_436)),commutator(X_436,X_10))),
introduced(tautology,[refl,[$fot(multiply(X_162,multiply(multiply(X_10,commutator(X_10,X_436)),commutator(X_436,X_10))))]]) ).
cnf(refute_0_3814,plain,
( multiply(X_162,multiply(multiply(X_10,commutator(X_10,X_436)),commutator(X_436,X_10))) != multiply(X_162,multiply(multiply(X_10,commutator(X_10,X_436)),commutator(X_436,X_10)))
| multiply(multiply(X_10,commutator(X_10,X_436)),commutator(X_436,X_10)) != X_10
| multiply(X_162,multiply(multiply(X_10,commutator(X_10,X_436)),commutator(X_436,X_10))) = multiply(X_162,X_10) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_162,multiply(multiply(X_10,commutator(X_10,X_436)),commutator(X_436,X_10))),multiply(X_162,multiply(multiply(X_10,commutator(X_10,X_436)),commutator(X_436,X_10)))) ),[1,1],$fot(X_10)]]) ).
cnf(refute_0_3815,plain,
( multiply(multiply(X_10,commutator(X_10,X_436)),commutator(X_436,X_10)) != X_10
| multiply(X_162,multiply(multiply(X_10,commutator(X_10,X_436)),commutator(X_436,X_10))) = multiply(X_162,X_10) ),
inference(resolve,[$cnf( $equal(multiply(X_162,multiply(multiply(X_10,commutator(X_10,X_436)),commutator(X_436,X_10))),multiply(X_162,multiply(multiply(X_10,commutator(X_10,X_436)),commutator(X_436,X_10)))) )],[refute_0_3813,refute_0_3814]) ).
cnf(refute_0_3816,plain,
multiply(X_162,multiply(multiply(X_10,commutator(X_10,X_436)),commutator(X_436,X_10))) = multiply(X_162,X_10),
inference(resolve,[$cnf( $equal(multiply(multiply(X_10,commutator(X_10,X_436)),commutator(X_436,X_10)),X_10) )],[refute_0_3812,refute_0_3815]) ).
cnf(refute_0_3817,plain,
multiply(multiply(X_162,multiply(X_10,commutator(X_10,X_436))),commutator(X_436,X_10)) = multiply(X_162,multiply(multiply(X_10,commutator(X_10,X_436)),commutator(X_436,X_10))),
inference(subst,[],[associativity:[bind(X,$fot(X_162)),bind(Y,$fot(multiply(X_10,commutator(X_10,X_436)))),bind(Z,$fot(commutator(X_436,X_10)))]]) ).
cnf(refute_0_3818,plain,
( multiply(X_162,multiply(multiply(X_10,commutator(X_10,X_436)),commutator(X_436,X_10))) != multiply(X_162,X_10)
| multiply(multiply(X_162,multiply(X_10,commutator(X_10,X_436))),commutator(X_436,X_10)) != multiply(X_162,multiply(multiply(X_10,commutator(X_10,X_436)),commutator(X_436,X_10)))
| multiply(multiply(X_162,multiply(X_10,commutator(X_10,X_436))),commutator(X_436,X_10)) = multiply(X_162,X_10) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_162,multiply(X_10,commutator(X_10,X_436))),commutator(X_436,X_10)))),bind(Y0,$fot(multiply(X_162,multiply(multiply(X_10,commutator(X_10,X_436)),commutator(X_436,X_10))))),bind(Z0,$fot(multiply(X_162,X_10)))]]) ).
cnf(refute_0_3819,plain,
( multiply(X_162,multiply(multiply(X_10,commutator(X_10,X_436)),commutator(X_436,X_10))) != multiply(X_162,X_10)
| multiply(multiply(X_162,multiply(X_10,commutator(X_10,X_436))),commutator(X_436,X_10)) = multiply(X_162,X_10) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_162,multiply(X_10,commutator(X_10,X_436))),commutator(X_436,X_10)),multiply(X_162,multiply(multiply(X_10,commutator(X_10,X_436)),commutator(X_436,X_10)))) )],[refute_0_3817,refute_0_3818]) ).
cnf(refute_0_3820,plain,
multiply(multiply(X_162,multiply(X_10,commutator(X_10,X_436))),commutator(X_436,X_10)) = multiply(X_162,X_10),
inference(resolve,[$cnf( $equal(multiply(X_162,multiply(multiply(X_10,commutator(X_10,X_436)),commutator(X_436,X_10))),multiply(X_162,X_10)) )],[refute_0_3816,refute_0_3819]) ).
cnf(refute_0_3821,plain,
inverse(multiply(multiply(X_162,multiply(X_10,commutator(X_10,X_436))),commutator(X_436,X_10))) = inverse(multiply(multiply(X_162,multiply(X_10,commutator(X_10,X_436))),commutator(X_436,X_10))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_162,multiply(X_10,commutator(X_10,X_436))),commutator(X_436,X_10))))]]) ).
cnf(refute_0_3822,plain,
( multiply(multiply(X_162,multiply(X_10,commutator(X_10,X_436))),commutator(X_436,X_10)) != multiply(X_162,X_10)
| inverse(multiply(multiply(X_162,multiply(X_10,commutator(X_10,X_436))),commutator(X_436,X_10))) != inverse(multiply(multiply(X_162,multiply(X_10,commutator(X_10,X_436))),commutator(X_436,X_10)))
| inverse(multiply(multiply(X_162,multiply(X_10,commutator(X_10,X_436))),commutator(X_436,X_10))) = inverse(multiply(X_162,X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_162,multiply(X_10,commutator(X_10,X_436))),commutator(X_436,X_10))),inverse(multiply(multiply(X_162,multiply(X_10,commutator(X_10,X_436))),commutator(X_436,X_10)))) ),[1,0],$fot(multiply(X_162,X_10))]]) ).
cnf(refute_0_3823,plain,
( multiply(multiply(X_162,multiply(X_10,commutator(X_10,X_436))),commutator(X_436,X_10)) != multiply(X_162,X_10)
| inverse(multiply(multiply(X_162,multiply(X_10,commutator(X_10,X_436))),commutator(X_436,X_10))) = inverse(multiply(X_162,X_10)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_162,multiply(X_10,commutator(X_10,X_436))),commutator(X_436,X_10))),inverse(multiply(multiply(X_162,multiply(X_10,commutator(X_10,X_436))),commutator(X_436,X_10)))) )],[refute_0_3821,refute_0_3822]) ).
cnf(refute_0_3824,plain,
inverse(multiply(multiply(X_162,multiply(X_10,commutator(X_10,X_436))),commutator(X_436,X_10))) = inverse(multiply(X_162,X_10)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_162,multiply(X_10,commutator(X_10,X_436))),commutator(X_436,X_10)),multiply(X_162,X_10)) )],[refute_0_3820,refute_0_3823]) ).
cnf(refute_0_3825,plain,
multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436))))) = inverse(multiply(multiply(X_162,multiply(X_10,commutator(X_10,X_436))),commutator(X_436,X_10))),
inference(subst,[],[refute_0_378:[bind(X_58,$fot(multiply(X_162,multiply(X_10,commutator(X_10,X_436))))),bind(X_65,$fot(X_10)),bind(X_66,$fot(X_436))]]) ).
cnf(refute_0_3826,plain,
( multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436))))) != inverse(multiply(multiply(X_162,multiply(X_10,commutator(X_10,X_436))),commutator(X_436,X_10)))
| inverse(multiply(multiply(X_162,multiply(X_10,commutator(X_10,X_436))),commutator(X_436,X_10))) != inverse(multiply(X_162,X_10))
| multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436))))) = inverse(multiply(X_162,X_10)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436))))))),bind(Y0,$fot(inverse(multiply(multiply(X_162,multiply(X_10,commutator(X_10,X_436))),commutator(X_436,X_10))))),bind(Z0,$fot(inverse(multiply(X_162,X_10))))]]) ).
cnf(refute_0_3827,plain,
( inverse(multiply(multiply(X_162,multiply(X_10,commutator(X_10,X_436))),commutator(X_436,X_10))) != inverse(multiply(X_162,X_10))
| multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436))))) = inverse(multiply(X_162,X_10)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436))))),inverse(multiply(multiply(X_162,multiply(X_10,commutator(X_10,X_436))),commutator(X_436,X_10)))) )],[refute_0_3825,refute_0_3826]) ).
cnf(refute_0_3828,plain,
multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436))))) = inverse(multiply(X_162,X_10)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_162,multiply(X_10,commutator(X_10,X_436))),commutator(X_436,X_10))),inverse(multiply(X_162,X_10))) )],[refute_0_3824,refute_0_3827]) ).
cnf(refute_0_3829,plain,
multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436)))))) = multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436)))))),
introduced(tautology,[refl,[$fot(multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436)))))))]]) ).
cnf(refute_0_3830,plain,
( multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436)))))) != multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436))))))
| multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436))))) != inverse(multiply(X_162,X_10))
| multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436)))))) = multiply(X_162,inverse(multiply(X_162,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436)))))),multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436))))))) ),[1,1],$fot(inverse(multiply(X_162,X_10)))]]) ).
cnf(refute_0_3831,plain,
( multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436))))) != inverse(multiply(X_162,X_10))
| multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436)))))) = multiply(X_162,inverse(multiply(X_162,X_10))) ),
inference(resolve,[$cnf( $equal(multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436)))))),multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436))))))) )],[refute_0_3829,refute_0_3830]) ).
cnf(refute_0_3832,plain,
multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436)))))) = multiply(X_162,inverse(multiply(X_162,X_10))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436))))),inverse(multiply(X_162,X_10))) )],[refute_0_3828,refute_0_3831]) ).
cnf(refute_0_3833,plain,
multiply(X_10,multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436))))))) = multiply(X_10,multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436))))))),
introduced(tautology,[refl,[$fot(multiply(X_10,multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436))))))))]]) ).
cnf(refute_0_3834,plain,
( multiply(X_10,multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436))))))) != multiply(X_10,multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436)))))))
| multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436)))))) != multiply(X_162,inverse(multiply(X_162,X_10)))
| multiply(X_10,multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436))))))) = multiply(X_10,multiply(X_162,inverse(multiply(X_162,X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_10,multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436))))))),multiply(X_10,multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436)))))))) ),[1,1],$fot(multiply(X_162,inverse(multiply(X_162,X_10))))]]) ).
cnf(refute_0_3835,plain,
( multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436)))))) != multiply(X_162,inverse(multiply(X_162,X_10)))
| multiply(X_10,multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436))))))) = multiply(X_10,multiply(X_162,inverse(multiply(X_162,X_10)))) ),
inference(resolve,[$cnf( $equal(multiply(X_10,multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436))))))),multiply(X_10,multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436)))))))) )],[refute_0_3833,refute_0_3834]) ).
cnf(refute_0_3836,plain,
multiply(X_10,multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436))))))) = multiply(X_10,multiply(X_162,inverse(multiply(X_162,X_10)))),
inference(resolve,[$cnf( $equal(multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436)))))),multiply(X_162,inverse(multiply(X_162,X_10)))) )],[refute_0_3832,refute_0_3835]) ).
cnf(refute_0_3837,plain,
( multiply(X_10,multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436))))))) != multiply(X_10,multiply(X_162,inverse(multiply(X_162,X_10))))
| multiply(X_10,multiply(X_162,inverse(multiply(X_162,X_10)))) != commutator(X_10,X_162)
| multiply(X_10,multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436))))))) = commutator(X_10,X_162) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_10,multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436))))))))),bind(Y0,$fot(multiply(X_10,multiply(X_162,inverse(multiply(X_162,X_10)))))),bind(Z0,$fot(commutator(X_10,X_162)))]]) ).
cnf(refute_0_3838,plain,
( multiply(X_10,multiply(X_162,inverse(multiply(X_162,X_10)))) != commutator(X_10,X_162)
| multiply(X_10,multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436))))))) = commutator(X_10,X_162) ),
inference(resolve,[$cnf( $equal(multiply(X_10,multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436))))))),multiply(X_10,multiply(X_162,inverse(multiply(X_162,X_10))))) )],[refute_0_3836,refute_0_3837]) ).
cnf(refute_0_3839,plain,
multiply(X_10,multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436))))))) = commutator(X_10,X_162),
inference(resolve,[$cnf( $equal(multiply(X_10,multiply(X_162,inverse(multiply(X_162,X_10)))),commutator(X_10,X_162)) )],[refute_0_3799,refute_0_3838]) ).
cnf(refute_0_3840,plain,
( multiply(X_10,multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436))))))) != commutator(X_10,X_162)
| commutator(X_10,multiply(X_162,commutator(X_10,X_436))) != multiply(X_10,multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436)))))))
| commutator(X_10,multiply(X_162,commutator(X_10,X_436))) = commutator(X_10,X_162) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_10,multiply(X_162,commutator(X_10,X_436))),multiply(X_10,multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436)))))))) ),[1],$fot(commutator(X_10,X_162))]]) ).
cnf(refute_0_3841,plain,
( commutator(X_10,multiply(X_162,commutator(X_10,X_436))) != multiply(X_10,multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436)))))))
| commutator(X_10,multiply(X_162,commutator(X_10,X_436))) = commutator(X_10,X_162) ),
inference(resolve,[$cnf( $equal(multiply(X_10,multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436))))))),commutator(X_10,X_162)) )],[refute_0_3839,refute_0_3840]) ).
cnf(refute_0_3842,plain,
commutator(X_10,multiply(X_162,commutator(X_10,X_436))) = commutator(X_10,X_162),
inference(resolve,[$cnf( $equal(commutator(X_10,multiply(X_162,commutator(X_10,X_436))),multiply(X_10,multiply(X_162,multiply(commutator(X_10,X_436),inverse(multiply(X_162,multiply(X_10,commutator(X_10,X_436)))))))) )],[refute_0_3798,refute_0_3841]) ).
cnf(refute_0_3843,plain,
commutator(X_617,multiply(X_618,commutator(X_617,inverse(X_109)))) = commutator(X_617,X_618),
inference(subst,[],[refute_0_3842:[bind(X_10,$fot(X_617)),bind(X_162,$fot(X_618)),bind(X_436,$fot(inverse(X_109)))]]) ).
cnf(refute_0_3844,plain,
commutator(X_109,X_617) = commutator(X_617,inverse(X_109)),
inference(subst,[],[refute_0_572:[bind(X_110,$fot(X_617))]]) ).
cnf(refute_0_3845,plain,
( commutator(X_109,X_617) != commutator(X_617,inverse(X_109))
| commutator(X_617,inverse(X_109)) = commutator(X_109,X_617) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_109,X_617))),bind(Y0,$fot(commutator(X_617,inverse(X_109))))]]) ).
cnf(refute_0_3846,plain,
commutator(X_617,inverse(X_109)) = commutator(X_109,X_617),
inference(resolve,[$cnf( $equal(commutator(X_109,X_617),commutator(X_617,inverse(X_109))) )],[refute_0_3844,refute_0_3845]) ).
cnf(refute_0_3847,plain,
( commutator(X_617,multiply(X_618,commutator(X_617,inverse(X_109)))) != commutator(X_617,X_618)
| commutator(X_617,inverse(X_109)) != commutator(X_109,X_617)
| commutator(X_617,multiply(X_618,commutator(X_109,X_617))) = commutator(X_617,X_618) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_617,multiply(X_618,commutator(X_617,inverse(X_109)))),commutator(X_617,X_618)) ),[0,1,1],$fot(commutator(X_109,X_617))]]) ).
cnf(refute_0_3848,plain,
( commutator(X_617,multiply(X_618,commutator(X_617,inverse(X_109)))) != commutator(X_617,X_618)
| commutator(X_617,multiply(X_618,commutator(X_109,X_617))) = commutator(X_617,X_618) ),
inference(resolve,[$cnf( $equal(commutator(X_617,inverse(X_109)),commutator(X_109,X_617)) )],[refute_0_3846,refute_0_3847]) ).
cnf(refute_0_3849,plain,
commutator(X_617,multiply(X_618,commutator(X_109,X_617))) = commutator(X_617,X_618),
inference(resolve,[$cnf( $equal(commutator(X_617,multiply(X_618,commutator(X_617,inverse(X_109)))),commutator(X_617,X_618)) )],[refute_0_3843,refute_0_3848]) ).
cnf(refute_0_3850,plain,
commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470))) = commutator(X_470,X_27),
inference(subst,[],[refute_0_3849:[bind(X_109,$fot(multiply(X_471,X_471))),bind(X_617,$fot(X_470)),bind(X_618,$fot(X_27))]]) ).
cnf(refute_0_3851,plain,
commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470)))) = commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),
introduced(tautology,[refl,[$fot(commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))]]) ).
cnf(refute_0_3852,plain,
( commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470))) != commutator(X_470,X_27)
| commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470)))) != commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470))))
| commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470)))) = commutator(X_471,commutator(X_470,X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470))))) ),[1,1],$fot(commutator(X_470,X_27))]]) ).
cnf(refute_0_3853,plain,
( commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470))) != commutator(X_470,X_27)
| commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470)))) = commutator(X_471,commutator(X_470,X_27)) ),
inference(resolve,[$cnf( $equal(commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470))))) )],[refute_0_3851,refute_0_3852]) ).
cnf(refute_0_3854,plain,
commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470)))) = commutator(X_471,commutator(X_470,X_27)),
inference(resolve,[$cnf( $equal(commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470))),commutator(X_470,X_27)) )],[refute_0_3850,refute_0_3853]) ).
cnf(refute_0_3855,plain,
( commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470)))) != multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))
| commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470)))) != commutator(X_471,commutator(X_470,X_27))
| commutator(X_471,commutator(X_470,X_27)) = multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))) ),[0],$fot(commutator(X_471,commutator(X_470,X_27)))]]) ).
cnf(refute_0_3856,plain,
( commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470)))) != multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))
| commutator(X_471,commutator(X_470,X_27)) = multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) ),
inference(resolve,[$cnf( $equal(commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(X_471,commutator(X_470,X_27))) )],[refute_0_3854,refute_0_3855]) ).
cnf(refute_0_3857,plain,
multiply(commutator(multiply(X_135,commutator(commutator(X_334,X_333),X_135)),commutator(X_334,X_333)),commutator(X_333,X_334)) = multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_135,commutator(commutator(X_334,X_333),X_135)))),multiply(X_135,commutator(commutator(X_334,X_333),X_135))),
inference(subst,[],[refute_0_3215:[bind(X_255,$fot(multiply(X_135,commutator(commutator(X_334,X_333),X_135)))),bind(X_65,$fot(X_333)),bind(X_66,$fot(X_334))]]) ).
cnf(refute_0_3858,plain,
commutator(multiply(X_135,commutator(commutator(X_334,X_333),X_135)),commutator(X_334,X_333)) = commutator(X_135,commutator(X_334,X_333)),
inference(subst,[],[refute_0_960:[bind(X_10,$fot(commutator(X_334,X_333)))]]) ).
cnf(refute_0_3859,plain,
( multiply(commutator(multiply(X_135,commutator(commutator(X_334,X_333),X_135)),commutator(X_334,X_333)),commutator(X_333,X_334)) != multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_135,commutator(commutator(X_334,X_333),X_135)))),multiply(X_135,commutator(commutator(X_334,X_333),X_135)))
| commutator(multiply(X_135,commutator(commutator(X_334,X_333),X_135)),commutator(X_334,X_333)) != commutator(X_135,commutator(X_334,X_333))
| multiply(commutator(X_135,commutator(X_334,X_333)),commutator(X_333,X_334)) = multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_135,commutator(commutator(X_334,X_333),X_135)))),multiply(X_135,commutator(commutator(X_334,X_333),X_135))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(multiply(X_135,commutator(commutator(X_334,X_333),X_135)),commutator(X_334,X_333)),commutator(X_333,X_334)),multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_135,commutator(commutator(X_334,X_333),X_135)))),multiply(X_135,commutator(commutator(X_334,X_333),X_135)))) ),[0,0],$fot(commutator(X_135,commutator(X_334,X_333)))]]) ).
cnf(refute_0_3860,plain,
( multiply(commutator(multiply(X_135,commutator(commutator(X_334,X_333),X_135)),commutator(X_334,X_333)),commutator(X_333,X_334)) != multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_135,commutator(commutator(X_334,X_333),X_135)))),multiply(X_135,commutator(commutator(X_334,X_333),X_135)))
| multiply(commutator(X_135,commutator(X_334,X_333)),commutator(X_333,X_334)) = multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_135,commutator(commutator(X_334,X_333),X_135)))),multiply(X_135,commutator(commutator(X_334,X_333),X_135))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_135,commutator(commutator(X_334,X_333),X_135)),commutator(X_334,X_333)),commutator(X_135,commutator(X_334,X_333))) )],[refute_0_3858,refute_0_3859]) ).
cnf(refute_0_3861,plain,
multiply(commutator(X_135,commutator(X_334,X_333)),commutator(X_333,X_334)) = multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_135,commutator(commutator(X_334,X_333),X_135)))),multiply(X_135,commutator(commutator(X_334,X_333),X_135))),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_135,commutator(commutator(X_334,X_333),X_135)),commutator(X_334,X_333)),commutator(X_333,X_334)),multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_135,commutator(commutator(X_334,X_333),X_135)))),multiply(X_135,commutator(commutator(X_334,X_333),X_135)))) )],[refute_0_3857,refute_0_3860]) ).
cnf(refute_0_3862,plain,
multiply(commutator(X_135,commutator(X_334,X_333)),commutator(X_333,X_334)) = multiply(commutator(X_333,X_334),commutator(X_333,commutator(X_334,X_135))),
inference(subst,[],[refute_0_3749:[bind(X_128,$fot(X_135))]]) ).
cnf(refute_0_3863,plain,
( multiply(commutator(X_135,commutator(X_334,X_333)),commutator(X_333,X_334)) != multiply(commutator(X_333,X_334),commutator(X_333,commutator(X_334,X_135)))
| multiply(commutator(X_135,commutator(X_334,X_333)),commutator(X_333,X_334)) != multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_135,commutator(commutator(X_334,X_333),X_135)))),multiply(X_135,commutator(commutator(X_334,X_333),X_135)))
| multiply(commutator(X_333,X_334),commutator(X_333,commutator(X_334,X_135))) = multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_135,commutator(commutator(X_334,X_333),X_135)))),multiply(X_135,commutator(commutator(X_334,X_333),X_135))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_135,commutator(X_334,X_333)),commutator(X_333,X_334)),multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_135,commutator(commutator(X_334,X_333),X_135)))),multiply(X_135,commutator(commutator(X_334,X_333),X_135)))) ),[0],$fot(multiply(commutator(X_333,X_334),commutator(X_333,commutator(X_334,X_135))))]]) ).
cnf(refute_0_3864,plain,
( multiply(commutator(X_135,commutator(X_334,X_333)),commutator(X_333,X_334)) != multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_135,commutator(commutator(X_334,X_333),X_135)))),multiply(X_135,commutator(commutator(X_334,X_333),X_135)))
| multiply(commutator(X_333,X_334),commutator(X_333,commutator(X_334,X_135))) = multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_135,commutator(commutator(X_334,X_333),X_135)))),multiply(X_135,commutator(commutator(X_334,X_333),X_135))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_135,commutator(X_334,X_333)),commutator(X_333,X_334)),multiply(commutator(X_333,X_334),commutator(X_333,commutator(X_334,X_135)))) )],[refute_0_3862,refute_0_3863]) ).
cnf(refute_0_3865,plain,
commutator(multiply(X_146,commutator(commutator(X,Y),X_146)),commutator(X,Y)) = commutator(X_146,commutator(X,Y)),
inference(subst,[],[refute_0_960:[bind(X_10,$fot(commutator(X,Y))),bind(X_135,$fot(X_146))]]) ).
cnf(refute_0_3866,plain,
commutator(commutator(X,Y),X_146) = commutator(X,commutator(Y,X_146)),
inference(subst,[],[associativity_of_commutator:[bind(Z,$fot(X_146))]]) ).
cnf(refute_0_3867,plain,
( commutator(multiply(X_146,commutator(commutator(X,Y),X_146)),commutator(X,Y)) != commutator(X_146,commutator(X,Y))
| commutator(commutator(X,Y),X_146) != commutator(X,commutator(Y,X_146))
| commutator(multiply(X_146,commutator(X,commutator(Y,X_146))),commutator(X,Y)) = commutator(X_146,commutator(X,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_146,commutator(commutator(X,Y),X_146)),commutator(X,Y)),commutator(X_146,commutator(X,Y))) ),[0,0,1],$fot(commutator(X,commutator(Y,X_146)))]]) ).
cnf(refute_0_3868,plain,
( commutator(multiply(X_146,commutator(commutator(X,Y),X_146)),commutator(X,Y)) != commutator(X_146,commutator(X,Y))
| commutator(multiply(X_146,commutator(X,commutator(Y,X_146))),commutator(X,Y)) = commutator(X_146,commutator(X,Y)) ),
inference(resolve,[$cnf( $equal(commutator(commutator(X,Y),X_146),commutator(X,commutator(Y,X_146))) )],[refute_0_3866,refute_0_3867]) ).
cnf(refute_0_3869,plain,
commutator(multiply(X_146,commutator(X,commutator(Y,X_146))),commutator(X,Y)) = commutator(X_146,commutator(X,Y)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_146,commutator(commutator(X,Y),X_146)),commutator(X,Y)),commutator(X_146,commutator(X,Y))) )],[refute_0_3865,refute_0_3868]) ).
cnf(refute_0_3870,plain,
commutator(multiply(X_146,commutator(X,commutator(Y,X_146))),commutator(X,Y)) = commutator(Y,commutator(X,multiply(X_146,commutator(X,commutator(Y,X_146))))),
inference(subst,[],[refute_0_3416:[bind(X_114,$fot(multiply(X_146,commutator(X,commutator(Y,X_146)))))]]) ).
cnf(refute_0_3871,plain,
( commutator(multiply(X_146,commutator(X,commutator(Y,X_146))),commutator(X,Y)) != commutator(Y,commutator(X,multiply(X_146,commutator(X,commutator(Y,X_146)))))
| commutator(multiply(X_146,commutator(X,commutator(Y,X_146))),commutator(X,Y)) != commutator(X_146,commutator(X,Y))
| commutator(Y,commutator(X,multiply(X_146,commutator(X,commutator(Y,X_146))))) = commutator(X_146,commutator(X,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_146,commutator(X,commutator(Y,X_146))),commutator(X,Y)),commutator(X_146,commutator(X,Y))) ),[0],$fot(commutator(Y,commutator(X,multiply(X_146,commutator(X,commutator(Y,X_146))))))]]) ).
cnf(refute_0_3872,plain,
( commutator(multiply(X_146,commutator(X,commutator(Y,X_146))),commutator(X,Y)) != commutator(X_146,commutator(X,Y))
| commutator(Y,commutator(X,multiply(X_146,commutator(X,commutator(Y,X_146))))) = commutator(X_146,commutator(X,Y)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_146,commutator(X,commutator(Y,X_146))),commutator(X,Y)),commutator(Y,commutator(X,multiply(X_146,commutator(X,commutator(Y,X_146)))))) )],[refute_0_3870,refute_0_3871]) ).
cnf(refute_0_3873,plain,
commutator(Y,commutator(X,multiply(X_146,commutator(X,commutator(Y,X_146))))) = commutator(X_146,commutator(X,Y)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_146,commutator(X,commutator(Y,X_146))),commutator(X,Y)),commutator(X_146,commutator(X,Y))) )],[refute_0_3869,refute_0_3872]) ).
cnf(refute_0_3874,plain,
commutator(X_333,commutator(X_334,multiply(X_135,commutator(X_334,commutator(X_333,X_135))))) = commutator(X_135,commutator(X_334,X_333)),
inference(subst,[],[refute_0_3873:[bind(X,$fot(X_334)),bind(Y,$fot(X_333)),bind(X_146,$fot(X_135))]]) ).
cnf(refute_0_3875,plain,
commutator(commutator(X_334,X_333),X_135) = commutator(X_334,commutator(X_333,X_135)),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(X_334)),bind(Y,$fot(X_333)),bind(Z,$fot(X_135))]]) ).
cnf(refute_0_3876,plain,
multiply(X_135,commutator(commutator(X_334,X_333),X_135)) = multiply(X_135,commutator(commutator(X_334,X_333),X_135)),
introduced(tautology,[refl,[$fot(multiply(X_135,commutator(commutator(X_334,X_333),X_135)))]]) ).
cnf(refute_0_3877,plain,
( multiply(X_135,commutator(commutator(X_334,X_333),X_135)) != multiply(X_135,commutator(commutator(X_334,X_333),X_135))
| commutator(commutator(X_334,X_333),X_135) != commutator(X_334,commutator(X_333,X_135))
| multiply(X_135,commutator(commutator(X_334,X_333),X_135)) = multiply(X_135,commutator(X_334,commutator(X_333,X_135))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_135,commutator(commutator(X_334,X_333),X_135)),multiply(X_135,commutator(commutator(X_334,X_333),X_135))) ),[1,1],$fot(commutator(X_334,commutator(X_333,X_135)))]]) ).
cnf(refute_0_3878,plain,
( commutator(commutator(X_334,X_333),X_135) != commutator(X_334,commutator(X_333,X_135))
| multiply(X_135,commutator(commutator(X_334,X_333),X_135)) = multiply(X_135,commutator(X_334,commutator(X_333,X_135))) ),
inference(resolve,[$cnf( $equal(multiply(X_135,commutator(commutator(X_334,X_333),X_135)),multiply(X_135,commutator(commutator(X_334,X_333),X_135))) )],[refute_0_3876,refute_0_3877]) ).
cnf(refute_0_3879,plain,
multiply(X_135,commutator(commutator(X_334,X_333),X_135)) = multiply(X_135,commutator(X_334,commutator(X_333,X_135))),
inference(resolve,[$cnf( $equal(commutator(commutator(X_334,X_333),X_135),commutator(X_334,commutator(X_333,X_135))) )],[refute_0_3875,refute_0_3878]) ).
cnf(refute_0_3880,plain,
commutator(X_334,multiply(X_135,commutator(commutator(X_334,X_333),X_135))) = commutator(X_334,multiply(X_135,commutator(commutator(X_334,X_333),X_135))),
introduced(tautology,[refl,[$fot(commutator(X_334,multiply(X_135,commutator(commutator(X_334,X_333),X_135))))]]) ).
cnf(refute_0_3881,plain,
( multiply(X_135,commutator(commutator(X_334,X_333),X_135)) != multiply(X_135,commutator(X_334,commutator(X_333,X_135)))
| commutator(X_334,multiply(X_135,commutator(commutator(X_334,X_333),X_135))) != commutator(X_334,multiply(X_135,commutator(commutator(X_334,X_333),X_135)))
| commutator(X_334,multiply(X_135,commutator(commutator(X_334,X_333),X_135))) = commutator(X_334,multiply(X_135,commutator(X_334,commutator(X_333,X_135)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_334,multiply(X_135,commutator(commutator(X_334,X_333),X_135))),commutator(X_334,multiply(X_135,commutator(commutator(X_334,X_333),X_135)))) ),[1,1],$fot(multiply(X_135,commutator(X_334,commutator(X_333,X_135))))]]) ).
cnf(refute_0_3882,plain,
( multiply(X_135,commutator(commutator(X_334,X_333),X_135)) != multiply(X_135,commutator(X_334,commutator(X_333,X_135)))
| commutator(X_334,multiply(X_135,commutator(commutator(X_334,X_333),X_135))) = commutator(X_334,multiply(X_135,commutator(X_334,commutator(X_333,X_135)))) ),
inference(resolve,[$cnf( $equal(commutator(X_334,multiply(X_135,commutator(commutator(X_334,X_333),X_135))),commutator(X_334,multiply(X_135,commutator(commutator(X_334,X_333),X_135)))) )],[refute_0_3880,refute_0_3881]) ).
cnf(refute_0_3883,plain,
commutator(X_334,multiply(X_135,commutator(commutator(X_334,X_333),X_135))) = commutator(X_334,multiply(X_135,commutator(X_334,commutator(X_333,X_135)))),
inference(resolve,[$cnf( $equal(multiply(X_135,commutator(commutator(X_334,X_333),X_135)),multiply(X_135,commutator(X_334,commutator(X_333,X_135)))) )],[refute_0_3879,refute_0_3882]) ).
cnf(refute_0_3884,plain,
commutator(X_333,commutator(X_334,multiply(X_135,commutator(commutator(X_334,X_333),X_135)))) = commutator(X_333,commutator(X_334,multiply(X_135,commutator(commutator(X_334,X_333),X_135)))),
introduced(tautology,[refl,[$fot(commutator(X_333,commutator(X_334,multiply(X_135,commutator(commutator(X_334,X_333),X_135)))))]]) ).
cnf(refute_0_3885,plain,
( commutator(X_333,commutator(X_334,multiply(X_135,commutator(commutator(X_334,X_333),X_135)))) != commutator(X_333,commutator(X_334,multiply(X_135,commutator(commutator(X_334,X_333),X_135))))
| commutator(X_334,multiply(X_135,commutator(commutator(X_334,X_333),X_135))) != commutator(X_334,multiply(X_135,commutator(X_334,commutator(X_333,X_135))))
| commutator(X_333,commutator(X_334,multiply(X_135,commutator(commutator(X_334,X_333),X_135)))) = commutator(X_333,commutator(X_334,multiply(X_135,commutator(X_334,commutator(X_333,X_135))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_333,commutator(X_334,multiply(X_135,commutator(commutator(X_334,X_333),X_135)))),commutator(X_333,commutator(X_334,multiply(X_135,commutator(commutator(X_334,X_333),X_135))))) ),[1,1],$fot(commutator(X_334,multiply(X_135,commutator(X_334,commutator(X_333,X_135)))))]]) ).
cnf(refute_0_3886,plain,
( commutator(X_334,multiply(X_135,commutator(commutator(X_334,X_333),X_135))) != commutator(X_334,multiply(X_135,commutator(X_334,commutator(X_333,X_135))))
| commutator(X_333,commutator(X_334,multiply(X_135,commutator(commutator(X_334,X_333),X_135)))) = commutator(X_333,commutator(X_334,multiply(X_135,commutator(X_334,commutator(X_333,X_135))))) ),
inference(resolve,[$cnf( $equal(commutator(X_333,commutator(X_334,multiply(X_135,commutator(commutator(X_334,X_333),X_135)))),commutator(X_333,commutator(X_334,multiply(X_135,commutator(commutator(X_334,X_333),X_135))))) )],[refute_0_3884,refute_0_3885]) ).
cnf(refute_0_3887,plain,
commutator(X_333,commutator(X_334,multiply(X_135,commutator(commutator(X_334,X_333),X_135)))) = commutator(X_333,commutator(X_334,multiply(X_135,commutator(X_334,commutator(X_333,X_135))))),
inference(resolve,[$cnf( $equal(commutator(X_334,multiply(X_135,commutator(commutator(X_334,X_333),X_135))),commutator(X_334,multiply(X_135,commutator(X_334,commutator(X_333,X_135))))) )],[refute_0_3883,refute_0_3886]) ).
cnf(refute_0_3888,plain,
( commutator(X_333,commutator(X_334,multiply(X_135,commutator(X_334,commutator(X_333,X_135))))) != commutator(X_135,commutator(X_334,X_333))
| commutator(X_333,commutator(X_334,multiply(X_135,commutator(commutator(X_334,X_333),X_135)))) != commutator(X_333,commutator(X_334,multiply(X_135,commutator(X_334,commutator(X_333,X_135)))))
| commutator(X_333,commutator(X_334,multiply(X_135,commutator(commutator(X_334,X_333),X_135)))) = commutator(X_135,commutator(X_334,X_333)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(X_333,commutator(X_334,multiply(X_135,commutator(commutator(X_334,X_333),X_135)))))),bind(Y0,$fot(commutator(X_333,commutator(X_334,multiply(X_135,commutator(X_334,commutator(X_333,X_135))))))),bind(Z0,$fot(commutator(X_135,commutator(X_334,X_333))))]]) ).
cnf(refute_0_3889,plain,
( commutator(X_333,commutator(X_334,multiply(X_135,commutator(X_334,commutator(X_333,X_135))))) != commutator(X_135,commutator(X_334,X_333))
| commutator(X_333,commutator(X_334,multiply(X_135,commutator(commutator(X_334,X_333),X_135)))) = commutator(X_135,commutator(X_334,X_333)) ),
inference(resolve,[$cnf( $equal(commutator(X_333,commutator(X_334,multiply(X_135,commutator(commutator(X_334,X_333),X_135)))),commutator(X_333,commutator(X_334,multiply(X_135,commutator(X_334,commutator(X_333,X_135)))))) )],[refute_0_3887,refute_0_3888]) ).
cnf(refute_0_3890,plain,
commutator(X_333,commutator(X_334,multiply(X_135,commutator(commutator(X_334,X_333),X_135)))) = commutator(X_135,commutator(X_334,X_333)),
inference(resolve,[$cnf( $equal(commutator(X_333,commutator(X_334,multiply(X_135,commutator(X_334,commutator(X_333,X_135))))),commutator(X_135,commutator(X_334,X_333))) )],[refute_0_3874,refute_0_3889]) ).
cnf(refute_0_3891,plain,
commutator(multiply(X_135,commutator(commutator(X_334,X_333),X_135)),commutator(X_333,X_334)) = commutator(X_333,commutator(X_334,multiply(X_135,commutator(commutator(X_334,X_333),X_135)))),
inference(subst,[],[refute_0_3602:[bind(X_128,$fot(multiply(X_135,commutator(commutator(X_334,X_333),X_135)))),bind(X_306,$fot(X_333)),bind(X_307,$fot(X_334))]]) ).
cnf(refute_0_3892,plain,
( commutator(X_333,commutator(X_334,multiply(X_135,commutator(commutator(X_334,X_333),X_135)))) != commutator(X_135,commutator(X_334,X_333))
| commutator(multiply(X_135,commutator(commutator(X_334,X_333),X_135)),commutator(X_333,X_334)) != commutator(X_333,commutator(X_334,multiply(X_135,commutator(commutator(X_334,X_333),X_135))))
| commutator(multiply(X_135,commutator(commutator(X_334,X_333),X_135)),commutator(X_333,X_334)) = commutator(X_135,commutator(X_334,X_333)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_135,commutator(commutator(X_334,X_333),X_135)),commutator(X_333,X_334)))),bind(Y0,$fot(commutator(X_333,commutator(X_334,multiply(X_135,commutator(commutator(X_334,X_333),X_135)))))),bind(Z0,$fot(commutator(X_135,commutator(X_334,X_333))))]]) ).
cnf(refute_0_3893,plain,
( commutator(X_333,commutator(X_334,multiply(X_135,commutator(commutator(X_334,X_333),X_135)))) != commutator(X_135,commutator(X_334,X_333))
| commutator(multiply(X_135,commutator(commutator(X_334,X_333),X_135)),commutator(X_333,X_334)) = commutator(X_135,commutator(X_334,X_333)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_135,commutator(commutator(X_334,X_333),X_135)),commutator(X_333,X_334)),commutator(X_333,commutator(X_334,multiply(X_135,commutator(commutator(X_334,X_333),X_135))))) )],[refute_0_3891,refute_0_3892]) ).
cnf(refute_0_3894,plain,
commutator(multiply(X_135,commutator(commutator(X_334,X_333),X_135)),commutator(X_333,X_334)) = commutator(X_135,commutator(X_334,X_333)),
inference(resolve,[$cnf( $equal(commutator(X_333,commutator(X_334,multiply(X_135,commutator(commutator(X_334,X_333),X_135)))),commutator(X_135,commutator(X_334,X_333))) )],[refute_0_3890,refute_0_3893]) ).
cnf(refute_0_3895,plain,
multiply(commutator(X_333,X_334),commutator(multiply(X_135,commutator(commutator(X_334,X_333),X_135)),commutator(X_333,X_334))) = multiply(commutator(X_333,X_334),commutator(multiply(X_135,commutator(commutator(X_334,X_333),X_135)),commutator(X_333,X_334))),
introduced(tautology,[refl,[$fot(multiply(commutator(X_333,X_334),commutator(multiply(X_135,commutator(commutator(X_334,X_333),X_135)),commutator(X_333,X_334))))]]) ).
cnf(refute_0_3896,plain,
( multiply(commutator(X_333,X_334),commutator(multiply(X_135,commutator(commutator(X_334,X_333),X_135)),commutator(X_333,X_334))) != multiply(commutator(X_333,X_334),commutator(multiply(X_135,commutator(commutator(X_334,X_333),X_135)),commutator(X_333,X_334)))
| commutator(multiply(X_135,commutator(commutator(X_334,X_333),X_135)),commutator(X_333,X_334)) != commutator(X_135,commutator(X_334,X_333))
| multiply(commutator(X_333,X_334),commutator(multiply(X_135,commutator(commutator(X_334,X_333),X_135)),commutator(X_333,X_334))) = multiply(commutator(X_333,X_334),commutator(X_135,commutator(X_334,X_333))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_333,X_334),commutator(multiply(X_135,commutator(commutator(X_334,X_333),X_135)),commutator(X_333,X_334))),multiply(commutator(X_333,X_334),commutator(multiply(X_135,commutator(commutator(X_334,X_333),X_135)),commutator(X_333,X_334)))) ),[1,1],$fot(commutator(X_135,commutator(X_334,X_333)))]]) ).
cnf(refute_0_3897,plain,
( commutator(multiply(X_135,commutator(commutator(X_334,X_333),X_135)),commutator(X_333,X_334)) != commutator(X_135,commutator(X_334,X_333))
| multiply(commutator(X_333,X_334),commutator(multiply(X_135,commutator(commutator(X_334,X_333),X_135)),commutator(X_333,X_334))) = multiply(commutator(X_333,X_334),commutator(X_135,commutator(X_334,X_333))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_333,X_334),commutator(multiply(X_135,commutator(commutator(X_334,X_333),X_135)),commutator(X_333,X_334))),multiply(commutator(X_333,X_334),commutator(multiply(X_135,commutator(commutator(X_334,X_333),X_135)),commutator(X_333,X_334)))) )],[refute_0_3895,refute_0_3896]) ).
cnf(refute_0_3898,plain,
multiply(commutator(X_333,X_334),commutator(multiply(X_135,commutator(commutator(X_334,X_333),X_135)),commutator(X_333,X_334))) = multiply(commutator(X_333,X_334),commutator(X_135,commutator(X_334,X_333))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_135,commutator(commutator(X_334,X_333),X_135)),commutator(X_333,X_334)),commutator(X_135,commutator(X_334,X_333))) )],[refute_0_3894,refute_0_3897]) ).
cnf(refute_0_3899,plain,
multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_135,commutator(commutator(X_334,X_333),X_135)))),multiply(X_135,commutator(commutator(X_334,X_333),X_135))) = multiply(commutator(X_333,X_334),commutator(multiply(X_135,commutator(commutator(X_334,X_333),X_135)),commutator(X_333,X_334))),
inference(subst,[],[refute_0_3742:[bind(X_135,$fot(X_333)),bind(X_167,$fot(X_334)),bind(X_332,$fot(multiply(X_135,commutator(commutator(X_334,X_333),X_135))))]]) ).
cnf(refute_0_3900,plain,
( multiply(commutator(X_333,X_334),commutator(multiply(X_135,commutator(commutator(X_334,X_333),X_135)),commutator(X_333,X_334))) != multiply(commutator(X_333,X_334),commutator(X_135,commutator(X_334,X_333)))
| multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_135,commutator(commutator(X_334,X_333),X_135)))),multiply(X_135,commutator(commutator(X_334,X_333),X_135))) != multiply(commutator(X_333,X_334),commutator(multiply(X_135,commutator(commutator(X_334,X_333),X_135)),commutator(X_333,X_334)))
| multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_135,commutator(commutator(X_334,X_333),X_135)))),multiply(X_135,commutator(commutator(X_334,X_333),X_135))) = multiply(commutator(X_333,X_334),commutator(X_135,commutator(X_334,X_333))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_135,commutator(commutator(X_334,X_333),X_135)))),multiply(X_135,commutator(commutator(X_334,X_333),X_135))))),bind(Y0,$fot(multiply(commutator(X_333,X_334),commutator(multiply(X_135,commutator(commutator(X_334,X_333),X_135)),commutator(X_333,X_334))))),bind(Z0,$fot(multiply(commutator(X_333,X_334),commutator(X_135,commutator(X_334,X_333)))))]]) ).
cnf(refute_0_3901,plain,
( multiply(commutator(X_333,X_334),commutator(multiply(X_135,commutator(commutator(X_334,X_333),X_135)),commutator(X_333,X_334))) != multiply(commutator(X_333,X_334),commutator(X_135,commutator(X_334,X_333)))
| multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_135,commutator(commutator(X_334,X_333),X_135)))),multiply(X_135,commutator(commutator(X_334,X_333),X_135))) = multiply(commutator(X_333,X_334),commutator(X_135,commutator(X_334,X_333))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_135,commutator(commutator(X_334,X_333),X_135)))),multiply(X_135,commutator(commutator(X_334,X_333),X_135))),multiply(commutator(X_333,X_334),commutator(multiply(X_135,commutator(commutator(X_334,X_333),X_135)),commutator(X_333,X_334)))) )],[refute_0_3899,refute_0_3900]) ).
cnf(refute_0_3902,plain,
multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_135,commutator(commutator(X_334,X_333),X_135)))),multiply(X_135,commutator(commutator(X_334,X_333),X_135))) = multiply(commutator(X_333,X_334),commutator(X_135,commutator(X_334,X_333))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_333,X_334),commutator(multiply(X_135,commutator(commutator(X_334,X_333),X_135)),commutator(X_333,X_334))),multiply(commutator(X_333,X_334),commutator(X_135,commutator(X_334,X_333)))) )],[refute_0_3898,refute_0_3901]) ).
cnf(refute_0_3903,plain,
( multiply(commutator(X_333,X_334),commutator(X_333,commutator(X_334,X_135))) != multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_135,commutator(commutator(X_334,X_333),X_135)))),multiply(X_135,commutator(commutator(X_334,X_333),X_135)))
| multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_135,commutator(commutator(X_334,X_333),X_135)))),multiply(X_135,commutator(commutator(X_334,X_333),X_135))) != multiply(commutator(X_333,X_334),commutator(X_135,commutator(X_334,X_333)))
| multiply(commutator(X_333,X_334),commutator(X_333,commutator(X_334,X_135))) = multiply(commutator(X_333,X_334),commutator(X_135,commutator(X_334,X_333))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(commutator(X_333,X_334),commutator(X_333,commutator(X_334,X_135))),multiply(commutator(X_333,X_334),commutator(X_135,commutator(X_334,X_333)))) ),[0],$fot(multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_135,commutator(commutator(X_334,X_333),X_135)))),multiply(X_135,commutator(commutator(X_334,X_333),X_135))))]]) ).
cnf(refute_0_3904,plain,
( multiply(commutator(X_333,X_334),commutator(X_333,commutator(X_334,X_135))) != multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_135,commutator(commutator(X_334,X_333),X_135)))),multiply(X_135,commutator(commutator(X_334,X_333),X_135)))
| multiply(commutator(X_333,X_334),commutator(X_333,commutator(X_334,X_135))) = multiply(commutator(X_333,X_334),commutator(X_135,commutator(X_334,X_333))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_135,commutator(commutator(X_334,X_333),X_135)))),multiply(X_135,commutator(commutator(X_334,X_333),X_135))),multiply(commutator(X_333,X_334),commutator(X_135,commutator(X_334,X_333)))) )],[refute_0_3902,refute_0_3903]) ).
cnf(refute_0_3905,plain,
( multiply(commutator(X_135,commutator(X_334,X_333)),commutator(X_333,X_334)) != multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_135,commutator(commutator(X_334,X_333),X_135)))),multiply(X_135,commutator(commutator(X_334,X_333),X_135)))
| multiply(commutator(X_333,X_334),commutator(X_333,commutator(X_334,X_135))) = multiply(commutator(X_333,X_334),commutator(X_135,commutator(X_334,X_333))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_333,X_334),commutator(X_333,commutator(X_334,X_135))),multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_135,commutator(commutator(X_334,X_333),X_135)))),multiply(X_135,commutator(commutator(X_334,X_333),X_135)))) )],[refute_0_3864,refute_0_3904]) ).
cnf(refute_0_3906,plain,
multiply(commutator(X_333,X_334),commutator(X_333,commutator(X_334,X_135))) = multiply(commutator(X_333,X_334),commutator(X_135,commutator(X_334,X_333))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_135,commutator(X_334,X_333)),commutator(X_333,X_334)),multiply(inverse(multiply(commutator(X_334,X_333),multiply(X_135,commutator(commutator(X_334,X_333),X_135)))),multiply(X_135,commutator(commutator(X_334,X_333),X_135)))) )],[refute_0_3861,refute_0_3905]) ).
cnf(refute_0_3907,plain,
multiply(commutator(X_255,X_256),commutator(X_90,commutator(X_255,X_256))) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(X_90,commutator(X_255,X_256))))),
inference(subst,[],[refute_0_246:[bind(X,$fot(X_255)),bind(Y,$fot(X_256)),bind(X_11,$fot(commutator(X_90,commutator(X_255,X_256))))]]) ).
cnf(refute_0_3908,plain,
multiply(X_90,multiply(commutator(X_255,X_256),inverse(X_90))) = multiply(commutator(X_255,X_256),commutator(X_90,commutator(X_255,X_256))),
inference(subst,[],[refute_0_933:[bind(X_10,$fot(commutator(X_255,X_256)))]]) ).
cnf(refute_0_3909,plain,
( multiply(X_90,multiply(commutator(X_255,X_256),inverse(X_90))) != multiply(commutator(X_255,X_256),commutator(X_90,commutator(X_255,X_256)))
| multiply(commutator(X_255,X_256),commutator(X_90,commutator(X_255,X_256))) = multiply(X_90,multiply(commutator(X_255,X_256),inverse(X_90))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(X_90,multiply(commutator(X_255,X_256),inverse(X_90))))),bind(Y0,$fot(multiply(commutator(X_255,X_256),commutator(X_90,commutator(X_255,X_256)))))]]) ).
cnf(refute_0_3910,plain,
multiply(commutator(X_255,X_256),commutator(X_90,commutator(X_255,X_256))) = multiply(X_90,multiply(commutator(X_255,X_256),inverse(X_90))),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(commutator(X_255,X_256),inverse(X_90))),multiply(commutator(X_255,X_256),commutator(X_90,commutator(X_255,X_256)))) )],[refute_0_3908,refute_0_3909]) ).
cnf(refute_0_3911,plain,
( multiply(commutator(X_255,X_256),commutator(X_90,commutator(X_255,X_256))) != multiply(X_90,multiply(commutator(X_255,X_256),inverse(X_90)))
| multiply(commutator(X_255,X_256),commutator(X_90,commutator(X_255,X_256))) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(X_90,commutator(X_255,X_256)))))
| multiply(X_90,multiply(commutator(X_255,X_256),inverse(X_90))) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(X_90,commutator(X_255,X_256))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_255,X_256),commutator(X_90,commutator(X_255,X_256))),multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(X_90,commutator(X_255,X_256)))))) ),[0],$fot(multiply(X_90,multiply(commutator(X_255,X_256),inverse(X_90))))]]) ).
cnf(refute_0_3912,plain,
( multiply(commutator(X_255,X_256),commutator(X_90,commutator(X_255,X_256))) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(X_90,commutator(X_255,X_256)))))
| multiply(X_90,multiply(commutator(X_255,X_256),inverse(X_90))) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(X_90,commutator(X_255,X_256))))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,X_256),commutator(X_90,commutator(X_255,X_256))),multiply(X_90,multiply(commutator(X_255,X_256),inverse(X_90)))) )],[refute_0_3910,refute_0_3911]) ).
cnf(refute_0_3913,plain,
multiply(X_90,multiply(commutator(X_255,X_256),inverse(X_90))) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(X_90,commutator(X_255,X_256))))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,X_256),commutator(X_90,commutator(X_255,X_256))),multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(X_90,commutator(X_255,X_256)))))) )],[refute_0_3907,refute_0_3912]) ).
cnf(refute_0_3914,plain,
multiply(commutator(X_255,X_256),inverse(X_90)) = inverse(multiply(X_90,commutator(X_256,X_255))),
inference(subst,[],[refute_0_378:[bind(X_58,$fot(X_90)),bind(X_65,$fot(X_255)),bind(X_66,$fot(X_256))]]) ).
cnf(refute_0_3915,plain,
multiply(X_90,multiply(commutator(X_255,X_256),inverse(X_90))) = multiply(X_90,multiply(commutator(X_255,X_256),inverse(X_90))),
introduced(tautology,[refl,[$fot(multiply(X_90,multiply(commutator(X_255,X_256),inverse(X_90))))]]) ).
cnf(refute_0_3916,plain,
( multiply(X_90,multiply(commutator(X_255,X_256),inverse(X_90))) != multiply(X_90,multiply(commutator(X_255,X_256),inverse(X_90)))
| multiply(commutator(X_255,X_256),inverse(X_90)) != inverse(multiply(X_90,commutator(X_256,X_255)))
| multiply(X_90,multiply(commutator(X_255,X_256),inverse(X_90))) = multiply(X_90,inverse(multiply(X_90,commutator(X_256,X_255)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_90,multiply(commutator(X_255,X_256),inverse(X_90))),multiply(X_90,multiply(commutator(X_255,X_256),inverse(X_90)))) ),[1,1],$fot(inverse(multiply(X_90,commutator(X_256,X_255))))]]) ).
cnf(refute_0_3917,plain,
( multiply(commutator(X_255,X_256),inverse(X_90)) != inverse(multiply(X_90,commutator(X_256,X_255)))
| multiply(X_90,multiply(commutator(X_255,X_256),inverse(X_90))) = multiply(X_90,inverse(multiply(X_90,commutator(X_256,X_255)))) ),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(commutator(X_255,X_256),inverse(X_90))),multiply(X_90,multiply(commutator(X_255,X_256),inverse(X_90)))) )],[refute_0_3915,refute_0_3916]) ).
cnf(refute_0_3918,plain,
multiply(X_90,multiply(commutator(X_255,X_256),inverse(X_90))) = multiply(X_90,inverse(multiply(X_90,commutator(X_256,X_255)))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,X_256),inverse(X_90)),inverse(multiply(X_90,commutator(X_256,X_255)))) )],[refute_0_3914,refute_0_3917]) ).
cnf(refute_0_3919,plain,
( multiply(X_90,multiply(commutator(X_255,X_256),inverse(X_90))) != multiply(X_90,inverse(multiply(X_90,commutator(X_256,X_255))))
| multiply(X_90,multiply(commutator(X_255,X_256),inverse(X_90))) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(X_90,commutator(X_255,X_256)))))
| multiply(X_90,inverse(multiply(X_90,commutator(X_256,X_255)))) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(X_90,commutator(X_255,X_256))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_90,multiply(commutator(X_255,X_256),inverse(X_90))),multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(X_90,commutator(X_255,X_256)))))) ),[0],$fot(multiply(X_90,inverse(multiply(X_90,commutator(X_256,X_255)))))]]) ).
cnf(refute_0_3920,plain,
( multiply(X_90,multiply(commutator(X_255,X_256),inverse(X_90))) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(X_90,commutator(X_255,X_256)))))
| multiply(X_90,inverse(multiply(X_90,commutator(X_256,X_255)))) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(X_90,commutator(X_255,X_256))))) ),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(commutator(X_255,X_256),inverse(X_90))),multiply(X_90,inverse(multiply(X_90,commutator(X_256,X_255))))) )],[refute_0_3918,refute_0_3919]) ).
cnf(refute_0_3921,plain,
multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(X_90,commutator(X_255,X_256))))) = multiply(commutator(X_255,X_256),commutator(X_90,commutator(X_255,X_256))),
inference(subst,[],[refute_0_621:[bind(X,$fot(X_255)),bind(Y,$fot(X_256)),bind(X_11,$fot(commutator(X_90,commutator(X_255,X_256))))]]) ).
cnf(refute_0_3922,plain,
( multiply(X_90,inverse(multiply(X_90,commutator(X_256,X_255)))) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(X_90,commutator(X_255,X_256)))))
| multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(X_90,commutator(X_255,X_256))))) != multiply(commutator(X_255,X_256),commutator(X_90,commutator(X_255,X_256)))
| multiply(X_90,inverse(multiply(X_90,commutator(X_256,X_255)))) = multiply(commutator(X_255,X_256),commutator(X_90,commutator(X_255,X_256))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_90,inverse(multiply(X_90,commutator(X_256,X_255)))),multiply(commutator(X_255,X_256),commutator(X_90,commutator(X_255,X_256)))) ),[0],$fot(multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(X_90,commutator(X_255,X_256))))))]]) ).
cnf(refute_0_3923,plain,
( multiply(X_90,inverse(multiply(X_90,commutator(X_256,X_255)))) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(X_90,commutator(X_255,X_256)))))
| multiply(X_90,inverse(multiply(X_90,commutator(X_256,X_255)))) = multiply(commutator(X_255,X_256),commutator(X_90,commutator(X_255,X_256))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(X_90,commutator(X_255,X_256))))),multiply(commutator(X_255,X_256),commutator(X_90,commutator(X_255,X_256)))) )],[refute_0_3921,refute_0_3922]) ).
cnf(refute_0_3924,plain,
( multiply(X_90,multiply(commutator(X_255,X_256),inverse(X_90))) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(X_90,commutator(X_255,X_256)))))
| multiply(X_90,inverse(multiply(X_90,commutator(X_256,X_255)))) = multiply(commutator(X_255,X_256),commutator(X_90,commutator(X_255,X_256))) ),
inference(resolve,[$cnf( $equal(multiply(X_90,inverse(multiply(X_90,commutator(X_256,X_255)))),multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(X_90,commutator(X_255,X_256)))))) )],[refute_0_3920,refute_0_3923]) ).
cnf(refute_0_3925,plain,
multiply(X_90,inverse(multiply(X_90,commutator(X_256,X_255)))) = multiply(commutator(X_255,X_256),commutator(X_90,commutator(X_255,X_256))),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(commutator(X_255,X_256),inverse(X_90))),multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,commutator(X_90,commutator(X_255,X_256)))))) )],[refute_0_3913,refute_0_3924]) ).
cnf(refute_0_3926,plain,
multiply(inverse(multiply(X_128,commutator(X_608,X_607))),inverse(multiply(inverse(multiply(X_128,commutator(X_608,X_607))),commutator(X_608,X_607)))) = multiply(commutator(X_607,X_608),commutator(inverse(multiply(X_128,commutator(X_608,X_607))),commutator(X_607,X_608))),
inference(subst,[],[refute_0_3925:[bind(X_255,$fot(X_607)),bind(X_256,$fot(X_608)),bind(X_90,$fot(inverse(multiply(X_128,commutator(X_608,X_607)))))]]) ).
cnf(refute_0_3927,plain,
inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))) = multiply(inverse(multiply(X_128,commutator(X_608,X_607))),commutator(X_608,X_607)),
inference(subst,[],[refute_0_814:[bind(X_127,$fot(commutator(X_608,X_607)))]]) ).
cnf(refute_0_3928,plain,
( inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))) != multiply(inverse(multiply(X_128,commutator(X_608,X_607))),commutator(X_608,X_607))
| multiply(inverse(multiply(X_128,commutator(X_608,X_607))),commutator(X_608,X_607)) = inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))))),bind(Y0,$fot(multiply(inverse(multiply(X_128,commutator(X_608,X_607))),commutator(X_608,X_607))))]]) ).
cnf(refute_0_3929,plain,
multiply(inverse(multiply(X_128,commutator(X_608,X_607))),commutator(X_608,X_607)) = inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))),multiply(inverse(multiply(X_128,commutator(X_608,X_607))),commutator(X_608,X_607))) )],[refute_0_3927,refute_0_3928]) ).
cnf(refute_0_3930,plain,
( multiply(inverse(multiply(X_128,commutator(X_608,X_607))),commutator(X_608,X_607)) != inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607))))
| multiply(inverse(multiply(X_128,commutator(X_608,X_607))),inverse(multiply(inverse(multiply(X_128,commutator(X_608,X_607))),commutator(X_608,X_607)))) != multiply(commutator(X_607,X_608),commutator(inverse(multiply(X_128,commutator(X_608,X_607))),commutator(X_607,X_608)))
| multiply(inverse(multiply(X_128,commutator(X_608,X_607))),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))))) = multiply(commutator(X_607,X_608),commutator(inverse(multiply(X_128,commutator(X_608,X_607))),commutator(X_607,X_608))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_128,commutator(X_608,X_607))),inverse(multiply(inverse(multiply(X_128,commutator(X_608,X_607))),commutator(X_608,X_607)))),multiply(commutator(X_607,X_608),commutator(inverse(multiply(X_128,commutator(X_608,X_607))),commutator(X_607,X_608)))) ),[0,1,0],$fot(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))))]]) ).
cnf(refute_0_3931,plain,
( multiply(inverse(multiply(X_128,commutator(X_608,X_607))),inverse(multiply(inverse(multiply(X_128,commutator(X_608,X_607))),commutator(X_608,X_607)))) != multiply(commutator(X_607,X_608),commutator(inverse(multiply(X_128,commutator(X_608,X_607))),commutator(X_607,X_608)))
| multiply(inverse(multiply(X_128,commutator(X_608,X_607))),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))))) = multiply(commutator(X_607,X_608),commutator(inverse(multiply(X_128,commutator(X_608,X_607))),commutator(X_607,X_608))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_128,commutator(X_608,X_607))),commutator(X_608,X_607)),inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607))))) )],[refute_0_3929,refute_0_3930]) ).
cnf(refute_0_3932,plain,
multiply(inverse(multiply(X_128,commutator(X_608,X_607))),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))))) = multiply(commutator(X_607,X_608),commutator(inverse(multiply(X_128,commutator(X_608,X_607))),commutator(X_607,X_608))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_128,commutator(X_608,X_607))),inverse(multiply(inverse(multiply(X_128,commutator(X_608,X_607))),commutator(X_608,X_607)))),multiply(commutator(X_607,X_608),commutator(inverse(multiply(X_128,commutator(X_608,X_607))),commutator(X_607,X_608)))) )],[refute_0_3926,refute_0_3931]) ).
cnf(refute_0_3933,plain,
multiply(inverse(X_128),multiply(X_128,commutator(X_128,commutator(X_608,X_607)))) = commutator(X_128,commutator(X_608,X_607)),
inference(subst,[],[refute_0_39:[bind(X_10,$fot(X_128)),bind(X_11,$fot(commutator(X_128,commutator(X_608,X_607))))]]) ).
cnf(refute_0_3934,plain,
inverse(multiply(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))),X_128)) = multiply(inverse(X_128),multiply(X_128,commutator(X_128,commutator(X_608,X_607)))),
inference(subst,[],[refute_0_294:[bind(Z,$fot(X_128)),bind(X_61,$fot(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))))]]) ).
cnf(refute_0_3935,plain,
( multiply(inverse(X_128),multiply(X_128,commutator(X_128,commutator(X_608,X_607)))) != commutator(X_128,commutator(X_608,X_607))
| inverse(multiply(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))),X_128)) != multiply(inverse(X_128),multiply(X_128,commutator(X_128,commutator(X_608,X_607))))
| inverse(multiply(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))),X_128)) = commutator(X_128,commutator(X_608,X_607)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))),X_128)))),bind(Y0,$fot(multiply(inverse(X_128),multiply(X_128,commutator(X_128,commutator(X_608,X_607)))))),bind(Z0,$fot(commutator(X_128,commutator(X_608,X_607))))]]) ).
cnf(refute_0_3936,plain,
( multiply(inverse(X_128),multiply(X_128,commutator(X_128,commutator(X_608,X_607)))) != commutator(X_128,commutator(X_608,X_607))
| inverse(multiply(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))),X_128)) = commutator(X_128,commutator(X_608,X_607)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))),X_128)),multiply(inverse(X_128),multiply(X_128,commutator(X_128,commutator(X_608,X_607))))) )],[refute_0_3934,refute_0_3935]) ).
cnf(refute_0_3937,plain,
inverse(multiply(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))),X_128)) = commutator(X_128,commutator(X_608,X_607)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_128),multiply(X_128,commutator(X_128,commutator(X_608,X_607)))),commutator(X_128,commutator(X_608,X_607))) )],[refute_0_3933,refute_0_3936]) ).
cnf(refute_0_3938,plain,
multiply(inverse(X_128),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))))) = inverse(multiply(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))),X_128)),
inference(subst,[],[refute_0_257:[bind(X_10,$fot(X_128)),bind(X_58,$fot(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607))))))]]) ).
cnf(refute_0_3939,plain,
( multiply(inverse(X_128),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))))) != inverse(multiply(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))),X_128))
| inverse(multiply(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))),X_128)) != commutator(X_128,commutator(X_608,X_607))
| multiply(inverse(X_128),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))))) = commutator(X_128,commutator(X_608,X_607)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(X_128),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))))))),bind(Y0,$fot(inverse(multiply(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))),X_128)))),bind(Z0,$fot(commutator(X_128,commutator(X_608,X_607))))]]) ).
cnf(refute_0_3940,plain,
( inverse(multiply(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))),X_128)) != commutator(X_128,commutator(X_608,X_607))
| multiply(inverse(X_128),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))))) = commutator(X_128,commutator(X_608,X_607)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_128),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))))),inverse(multiply(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))),X_128))) )],[refute_0_3938,refute_0_3939]) ).
cnf(refute_0_3941,plain,
multiply(inverse(X_128),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))))) = commutator(X_128,commutator(X_608,X_607)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))),X_128)),commutator(X_128,commutator(X_608,X_607))) )],[refute_0_3937,refute_0_3940]) ).
cnf(refute_0_3942,plain,
multiply(commutator(X_607,X_608),multiply(inverse(X_128),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607))))))) = multiply(commutator(X_607,X_608),multiply(inverse(X_128),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607))))))),
introduced(tautology,[refl,[$fot(multiply(commutator(X_607,X_608),multiply(inverse(X_128),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607))))))))]]) ).
cnf(refute_0_3943,plain,
( multiply(commutator(X_607,X_608),multiply(inverse(X_128),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607))))))) != multiply(commutator(X_607,X_608),multiply(inverse(X_128),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))))))
| multiply(inverse(X_128),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))))) != commutator(X_128,commutator(X_608,X_607))
| multiply(commutator(X_607,X_608),multiply(inverse(X_128),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607))))))) = multiply(commutator(X_607,X_608),commutator(X_128,commutator(X_608,X_607))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_607,X_608),multiply(inverse(X_128),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607))))))),multiply(commutator(X_607,X_608),multiply(inverse(X_128),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))))))) ),[1,1],$fot(commutator(X_128,commutator(X_608,X_607)))]]) ).
cnf(refute_0_3944,plain,
( multiply(inverse(X_128),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))))) != commutator(X_128,commutator(X_608,X_607))
| multiply(commutator(X_607,X_608),multiply(inverse(X_128),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607))))))) = multiply(commutator(X_607,X_608),commutator(X_128,commutator(X_608,X_607))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_607,X_608),multiply(inverse(X_128),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607))))))),multiply(commutator(X_607,X_608),multiply(inverse(X_128),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))))))) )],[refute_0_3942,refute_0_3943]) ).
cnf(refute_0_3945,plain,
multiply(commutator(X_607,X_608),multiply(inverse(X_128),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607))))))) = multiply(commutator(X_607,X_608),commutator(X_128,commutator(X_608,X_607))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_128),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))))),commutator(X_128,commutator(X_608,X_607))) )],[refute_0_3941,refute_0_3944]) ).
cnf(refute_0_3946,plain,
multiply(inverse(multiply(X_128,commutator(X_608,X_607))),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))))) = multiply(commutator(X_607,X_608),multiply(inverse(X_128),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607))))))),
inference(subst,[],[refute_0_666:[bind(X_366,$fot(inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607))))))),bind(X_367,$fot(X_128)),bind(X_65,$fot(X_608)),bind(X_66,$fot(X_607))]]) ).
cnf(refute_0_3947,plain,
( multiply(commutator(X_607,X_608),multiply(inverse(X_128),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607))))))) != multiply(commutator(X_607,X_608),commutator(X_128,commutator(X_608,X_607)))
| multiply(inverse(multiply(X_128,commutator(X_608,X_607))),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))))) != multiply(commutator(X_607,X_608),multiply(inverse(X_128),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))))))
| multiply(inverse(multiply(X_128,commutator(X_608,X_607))),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))))) = multiply(commutator(X_607,X_608),commutator(X_128,commutator(X_608,X_607))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_128,commutator(X_608,X_607))),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))))))),bind(Y0,$fot(multiply(commutator(X_607,X_608),multiply(inverse(X_128),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607))))))))),bind(Z0,$fot(multiply(commutator(X_607,X_608),commutator(X_128,commutator(X_608,X_607)))))]]) ).
cnf(refute_0_3948,plain,
( multiply(commutator(X_607,X_608),multiply(inverse(X_128),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607))))))) != multiply(commutator(X_607,X_608),commutator(X_128,commutator(X_608,X_607)))
| multiply(inverse(multiply(X_128,commutator(X_608,X_607))),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))))) = multiply(commutator(X_607,X_608),commutator(X_128,commutator(X_608,X_607))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_128,commutator(X_608,X_607))),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))))),multiply(commutator(X_607,X_608),multiply(inverse(X_128),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))))))) )],[refute_0_3946,refute_0_3947]) ).
cnf(refute_0_3949,plain,
multiply(inverse(multiply(X_128,commutator(X_608,X_607))),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))))) = multiply(commutator(X_607,X_608),commutator(X_128,commutator(X_608,X_607))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_607,X_608),multiply(inverse(X_128),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607))))))),multiply(commutator(X_607,X_608),commutator(X_128,commutator(X_608,X_607)))) )],[refute_0_3945,refute_0_3948]) ).
cnf(refute_0_3950,plain,
( multiply(inverse(multiply(X_128,commutator(X_608,X_607))),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))))) != multiply(commutator(X_607,X_608),commutator(X_128,commutator(X_608,X_607)))
| multiply(inverse(multiply(X_128,commutator(X_608,X_607))),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))))) != multiply(commutator(X_607,X_608),commutator(inverse(multiply(X_128,commutator(X_608,X_607))),commutator(X_607,X_608)))
| multiply(commutator(X_607,X_608),commutator(X_128,commutator(X_608,X_607))) = multiply(commutator(X_607,X_608),commutator(inverse(multiply(X_128,commutator(X_608,X_607))),commutator(X_607,X_608))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_128,commutator(X_608,X_607))),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))))),multiply(commutator(X_607,X_608),commutator(inverse(multiply(X_128,commutator(X_608,X_607))),commutator(X_607,X_608)))) ),[0],$fot(multiply(commutator(X_607,X_608),commutator(X_128,commutator(X_608,X_607))))]]) ).
cnf(refute_0_3951,plain,
( multiply(inverse(multiply(X_128,commutator(X_608,X_607))),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))))) != multiply(commutator(X_607,X_608),commutator(inverse(multiply(X_128,commutator(X_608,X_607))),commutator(X_607,X_608)))
| multiply(commutator(X_607,X_608),commutator(X_128,commutator(X_608,X_607))) = multiply(commutator(X_607,X_608),commutator(inverse(multiply(X_128,commutator(X_608,X_607))),commutator(X_607,X_608))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_128,commutator(X_608,X_607))),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))))),multiply(commutator(X_607,X_608),commutator(X_128,commutator(X_608,X_607)))) )],[refute_0_3949,refute_0_3950]) ).
cnf(refute_0_3952,plain,
commutator(multiply(X_418,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_418))))),X_418) = commutator(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_418)))),X_418),
inference(subst,[],[refute_0_951:[bind(Y,$fot(X_418)),bind(X_86,$fot(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_418))))))]]) ).
cnf(refute_0_3953,plain,
multiply(commutator(X_418,multiply(X_257,X_10)),X_257) = multiply(X_418,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_418))))),
inference(subst,[],[refute_0_2595:[bind(X_256,$fot(X_418))]]) ).
cnf(refute_0_3954,plain,
( multiply(commutator(X_418,multiply(X_257,X_10)),X_257) != multiply(X_418,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_418)))))
| multiply(X_418,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_418))))) = multiply(commutator(X_418,multiply(X_257,X_10)),X_257) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(commutator(X_418,multiply(X_257,X_10)),X_257))),bind(Y0,$fot(multiply(X_418,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_418)))))))]]) ).
cnf(refute_0_3955,plain,
multiply(X_418,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_418))))) = multiply(commutator(X_418,multiply(X_257,X_10)),X_257),
inference(resolve,[$cnf( $equal(multiply(commutator(X_418,multiply(X_257,X_10)),X_257),multiply(X_418,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_418)))))) )],[refute_0_3953,refute_0_3954]) ).
cnf(refute_0_3956,plain,
( multiply(X_418,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_418))))) != multiply(commutator(X_418,multiply(X_257,X_10)),X_257)
| commutator(multiply(X_418,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_418))))),X_418) != commutator(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_418)))),X_418)
| commutator(multiply(commutator(X_418,multiply(X_257,X_10)),X_257),X_418) = commutator(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_418)))),X_418) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_418,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_418))))),X_418),commutator(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_418)))),X_418)) ),[0,0],$fot(multiply(commutator(X_418,multiply(X_257,X_10)),X_257))]]) ).
cnf(refute_0_3957,plain,
( commutator(multiply(X_418,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_418))))),X_418) != commutator(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_418)))),X_418)
| commutator(multiply(commutator(X_418,multiply(X_257,X_10)),X_257),X_418) = commutator(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_418)))),X_418) ),
inference(resolve,[$cnf( $equal(multiply(X_418,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_418))))),multiply(commutator(X_418,multiply(X_257,X_10)),X_257)) )],[refute_0_3955,refute_0_3956]) ).
cnf(refute_0_3958,plain,
commutator(multiply(commutator(X_418,multiply(X_257,X_10)),X_257),X_418) = commutator(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_418)))),X_418),
inference(resolve,[$cnf( $equal(commutator(multiply(X_418,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_418))))),X_418),commutator(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_418)))),X_418)) )],[refute_0_3952,refute_0_3957]) ).
cnf(refute_0_3959,plain,
commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,multiply(X_192,inverse(multiply(X_192,X_191))))) = commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191)))),
inference(subst,[],[refute_0_1692:[bind(X_10,$fot(commutator(X_192,X_191))),bind(X_161,$fot(multiply(X_192,inverse(multiply(X_192,X_191)))))]]) ).
cnf(refute_0_3960,plain,
multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))) = inverse(X_191),
inference(subst,[],[refute_0_1884:[bind(X_10,$fot(X_191)),bind(X_136,$fot(X_192))]]) ).
cnf(refute_0_3961,plain,
( multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))) != inverse(X_191)
| commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,multiply(X_192,inverse(multiply(X_192,X_191))))) != commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191))))
| commutator(inverse(X_191),multiply(X_162,multiply(X_192,inverse(multiply(X_192,X_191))))) = commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,multiply(X_192,inverse(multiply(X_192,X_191))))),commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191))))) ),[0,0],$fot(inverse(X_191))]]) ).
cnf(refute_0_3962,plain,
( commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,multiply(X_192,inverse(multiply(X_192,X_191))))) != commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191))))
| commutator(inverse(X_191),multiply(X_162,multiply(X_192,inverse(multiply(X_192,X_191))))) = commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191)))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),inverse(X_191)) )],[refute_0_3960,refute_0_3961]) ).
cnf(refute_0_3963,plain,
commutator(inverse(X_191),multiply(X_162,multiply(X_192,inverse(multiply(X_192,X_191))))) = commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191)))),
inference(resolve,[$cnf( $equal(commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,multiply(X_192,inverse(multiply(X_192,X_191))))),commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191))))) )],[refute_0_3959,refute_0_3962]) ).
cnf(refute_0_3964,plain,
commutator(inverse(X_191),multiply(X_162,multiply(X_192,inverse(multiply(X_192,X_191))))) = commutator(multiply(X_162,multiply(X_192,inverse(multiply(X_192,X_191)))),X_191),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(X_191)),bind(X_110,$fot(multiply(X_162,multiply(X_192,inverse(multiply(X_192,X_191))))))]]) ).
cnf(refute_0_3965,plain,
( commutator(inverse(X_191),multiply(X_162,multiply(X_192,inverse(multiply(X_192,X_191))))) != commutator(multiply(X_162,multiply(X_192,inverse(multiply(X_192,X_191)))),X_191)
| commutator(inverse(X_191),multiply(X_162,multiply(X_192,inverse(multiply(X_192,X_191))))) != commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191))))
| commutator(multiply(X_162,multiply(X_192,inverse(multiply(X_192,X_191)))),X_191) = commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(X_191),multiply(X_162,multiply(X_192,inverse(multiply(X_192,X_191))))),commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191))))) ),[0],$fot(commutator(multiply(X_162,multiply(X_192,inverse(multiply(X_192,X_191)))),X_191))]]) ).
cnf(refute_0_3966,plain,
( commutator(inverse(X_191),multiply(X_162,multiply(X_192,inverse(multiply(X_192,X_191))))) != commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191))))
| commutator(multiply(X_162,multiply(X_192,inverse(multiply(X_192,X_191)))),X_191) = commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191)))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_191),multiply(X_162,multiply(X_192,inverse(multiply(X_192,X_191))))),commutator(multiply(X_162,multiply(X_192,inverse(multiply(X_192,X_191)))),X_191)) )],[refute_0_3964,refute_0_3965]) ).
cnf(refute_0_3967,plain,
commutator(inverse(X_191),multiply(X_162,commutator(X_191,X_192))) = commutator(multiply(X_162,commutator(X_191,X_192)),X_191),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(X_191)),bind(X_110,$fot(multiply(X_162,commutator(X_191,X_192))))]]) ).
cnf(refute_0_3968,plain,
inverse(commutator(X_192,X_191)) = commutator(X_191,X_192),
inference(subst,[],[refute_0_386:[bind(X,$fot(X_191)),bind(Y,$fot(X_192))]]) ).
cnf(refute_0_3969,plain,
multiply(X_162,inverse(commutator(X_192,X_191))) = multiply(X_162,inverse(commutator(X_192,X_191))),
introduced(tautology,[refl,[$fot(multiply(X_162,inverse(commutator(X_192,X_191))))]]) ).
cnf(refute_0_3970,plain,
( multiply(X_162,inverse(commutator(X_192,X_191))) != multiply(X_162,inverse(commutator(X_192,X_191)))
| inverse(commutator(X_192,X_191)) != commutator(X_191,X_192)
| multiply(X_162,inverse(commutator(X_192,X_191))) = multiply(X_162,commutator(X_191,X_192)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_162,inverse(commutator(X_192,X_191))),multiply(X_162,inverse(commutator(X_192,X_191)))) ),[1,1],$fot(commutator(X_191,X_192))]]) ).
cnf(refute_0_3971,plain,
( inverse(commutator(X_192,X_191)) != commutator(X_191,X_192)
| multiply(X_162,inverse(commutator(X_192,X_191))) = multiply(X_162,commutator(X_191,X_192)) ),
inference(resolve,[$cnf( $equal(multiply(X_162,inverse(commutator(X_192,X_191))),multiply(X_162,inverse(commutator(X_192,X_191)))) )],[refute_0_3969,refute_0_3970]) ).
cnf(refute_0_3972,plain,
multiply(X_162,inverse(commutator(X_192,X_191))) = multiply(X_162,commutator(X_191,X_192)),
inference(resolve,[$cnf( $equal(inverse(commutator(X_192,X_191)),commutator(X_191,X_192)) )],[refute_0_3968,refute_0_3971]) ).
cnf(refute_0_3973,plain,
commutator(inverse(X_191),multiply(X_162,inverse(commutator(X_192,X_191)))) = commutator(inverse(X_191),multiply(X_162,inverse(commutator(X_192,X_191)))),
introduced(tautology,[refl,[$fot(commutator(inverse(X_191),multiply(X_162,inverse(commutator(X_192,X_191)))))]]) ).
cnf(refute_0_3974,plain,
( multiply(X_162,inverse(commutator(X_192,X_191))) != multiply(X_162,commutator(X_191,X_192))
| commutator(inverse(X_191),multiply(X_162,inverse(commutator(X_192,X_191)))) != commutator(inverse(X_191),multiply(X_162,inverse(commutator(X_192,X_191))))
| commutator(inverse(X_191),multiply(X_162,inverse(commutator(X_192,X_191)))) = commutator(inverse(X_191),multiply(X_162,commutator(X_191,X_192))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(X_191),multiply(X_162,inverse(commutator(X_192,X_191)))),commutator(inverse(X_191),multiply(X_162,inverse(commutator(X_192,X_191))))) ),[1,1],$fot(multiply(X_162,commutator(X_191,X_192)))]]) ).
cnf(refute_0_3975,plain,
( multiply(X_162,inverse(commutator(X_192,X_191))) != multiply(X_162,commutator(X_191,X_192))
| commutator(inverse(X_191),multiply(X_162,inverse(commutator(X_192,X_191)))) = commutator(inverse(X_191),multiply(X_162,commutator(X_191,X_192))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_191),multiply(X_162,inverse(commutator(X_192,X_191)))),commutator(inverse(X_191),multiply(X_162,inverse(commutator(X_192,X_191))))) )],[refute_0_3973,refute_0_3974]) ).
cnf(refute_0_3976,plain,
commutator(inverse(X_191),multiply(X_162,inverse(commutator(X_192,X_191)))) = commutator(inverse(X_191),multiply(X_162,commutator(X_191,X_192))),
inference(resolve,[$cnf( $equal(multiply(X_162,inverse(commutator(X_192,X_191))),multiply(X_162,commutator(X_191,X_192))) )],[refute_0_3972,refute_0_3975]) ).
cnf(refute_0_3977,plain,
commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191)))) = commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191)))),
introduced(tautology,[refl,[$fot(commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191)))))]]) ).
cnf(refute_0_3978,plain,
( multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))) != inverse(X_191)
| commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191)))) != commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191))))
| commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191)))) = commutator(inverse(X_191),multiply(X_162,inverse(commutator(X_192,X_191)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191)))),commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191))))) ),[1,0],$fot(inverse(X_191))]]) ).
cnf(refute_0_3979,plain,
( multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))) != inverse(X_191)
| commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191)))) = commutator(inverse(X_191),multiply(X_162,inverse(commutator(X_192,X_191)))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191)))),commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191))))) )],[refute_0_3977,refute_0_3978]) ).
cnf(refute_0_3980,plain,
commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191)))) = commutator(inverse(X_191),multiply(X_162,inverse(commutator(X_192,X_191)))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),inverse(X_191)) )],[refute_0_3960,refute_0_3979]) ).
cnf(refute_0_3981,plain,
( commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191)))) != commutator(inverse(X_191),multiply(X_162,inverse(commutator(X_192,X_191))))
| commutator(inverse(X_191),multiply(X_162,inverse(commutator(X_192,X_191)))) != commutator(inverse(X_191),multiply(X_162,commutator(X_191,X_192)))
| commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191)))) = commutator(inverse(X_191),multiply(X_162,commutator(X_191,X_192))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191)))))),bind(Y0,$fot(commutator(inverse(X_191),multiply(X_162,inverse(commutator(X_192,X_191)))))),bind(Z0,$fot(commutator(inverse(X_191),multiply(X_162,commutator(X_191,X_192)))))]]) ).
cnf(refute_0_3982,plain,
( commutator(inverse(X_191),multiply(X_162,inverse(commutator(X_192,X_191)))) != commutator(inverse(X_191),multiply(X_162,commutator(X_191,X_192)))
| commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191)))) = commutator(inverse(X_191),multiply(X_162,commutator(X_191,X_192))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191)))),commutator(inverse(X_191),multiply(X_162,inverse(commutator(X_192,X_191))))) )],[refute_0_3980,refute_0_3981]) ).
cnf(refute_0_3983,plain,
commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191)))) = commutator(inverse(X_191),multiply(X_162,commutator(X_191,X_192))),
inference(resolve,[$cnf( $equal(commutator(inverse(X_191),multiply(X_162,inverse(commutator(X_192,X_191)))),commutator(inverse(X_191),multiply(X_162,commutator(X_191,X_192)))) )],[refute_0_3976,refute_0_3982]) ).
cnf(refute_0_3984,plain,
( commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191)))) != commutator(inverse(X_191),multiply(X_162,commutator(X_191,X_192)))
| commutator(inverse(X_191),multiply(X_162,commutator(X_191,X_192))) != commutator(multiply(X_162,commutator(X_191,X_192)),X_191)
| commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191)))) = commutator(multiply(X_162,commutator(X_191,X_192)),X_191) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191)))))),bind(Y0,$fot(commutator(inverse(X_191),multiply(X_162,commutator(X_191,X_192))))),bind(Z0,$fot(commutator(multiply(X_162,commutator(X_191,X_192)),X_191)))]]) ).
cnf(refute_0_3985,plain,
( commutator(inverse(X_191),multiply(X_162,commutator(X_191,X_192))) != commutator(multiply(X_162,commutator(X_191,X_192)),X_191)
| commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191)))) = commutator(multiply(X_162,commutator(X_191,X_192)),X_191) ),
inference(resolve,[$cnf( $equal(commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191)))),commutator(inverse(X_191),multiply(X_162,commutator(X_191,X_192)))) )],[refute_0_3983,refute_0_3984]) ).
cnf(refute_0_3986,plain,
commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191)))) = commutator(multiply(X_162,commutator(X_191,X_192)),X_191),
inference(resolve,[$cnf( $equal(commutator(inverse(X_191),multiply(X_162,commutator(X_191,X_192))),commutator(multiply(X_162,commutator(X_191,X_192)),X_191)) )],[refute_0_3967,refute_0_3985]) ).
cnf(refute_0_3987,plain,
( commutator(multiply(X_162,multiply(X_192,inverse(multiply(X_192,X_191)))),X_191) != commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191))))
| commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191)))) != commutator(multiply(X_162,commutator(X_191,X_192)),X_191)
| commutator(multiply(X_162,multiply(X_192,inverse(multiply(X_192,X_191)))),X_191) = commutator(multiply(X_162,commutator(X_191,X_192)),X_191) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(multiply(X_162,multiply(X_192,inverse(multiply(X_192,X_191)))),X_191),commutator(multiply(X_162,commutator(X_191,X_192)),X_191)) ),[0],$fot(commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191)))))]]) ).
cnf(refute_0_3988,plain,
( commutator(multiply(X_162,multiply(X_192,inverse(multiply(X_192,X_191)))),X_191) != commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191))))
| commutator(multiply(X_162,multiply(X_192,inverse(multiply(X_192,X_191)))),X_191) = commutator(multiply(X_162,commutator(X_191,X_192)),X_191) ),
inference(resolve,[$cnf( $equal(commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191)))),commutator(multiply(X_162,commutator(X_191,X_192)),X_191)) )],[refute_0_3986,refute_0_3987]) ).
cnf(refute_0_3989,plain,
( commutator(inverse(X_191),multiply(X_162,multiply(X_192,inverse(multiply(X_192,X_191))))) != commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191))))
| commutator(multiply(X_162,multiply(X_192,inverse(multiply(X_192,X_191)))),X_191) = commutator(multiply(X_162,commutator(X_191,X_192)),X_191) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_162,multiply(X_192,inverse(multiply(X_192,X_191)))),X_191),commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191))))) )],[refute_0_3966,refute_0_3988]) ).
cnf(refute_0_3990,plain,
commutator(multiply(X_162,multiply(X_192,inverse(multiply(X_192,X_191)))),X_191) = commutator(multiply(X_162,commutator(X_191,X_192)),X_191),
inference(resolve,[$cnf( $equal(commutator(inverse(X_191),multiply(X_162,multiply(X_192,inverse(multiply(X_192,X_191))))),commutator(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),multiply(X_162,inverse(commutator(X_192,X_191))))) )],[refute_0_3963,refute_0_3989]) ).
cnf(refute_0_3991,plain,
commutator(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_418)))),X_418) = commutator(multiply(X_257,commutator(X_418,X_10)),X_418),
inference(subst,[],[refute_0_3990:[bind(X_162,$fot(X_257)),bind(X_191,$fot(X_418)),bind(X_192,$fot(X_10))]]) ).
cnf(refute_0_3992,plain,
( commutator(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_418)))),X_418) != commutator(multiply(X_257,commutator(X_418,X_10)),X_418)
| commutator(multiply(commutator(X_418,multiply(X_257,X_10)),X_257),X_418) != commutator(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_418)))),X_418)
| commutator(multiply(commutator(X_418,multiply(X_257,X_10)),X_257),X_418) = commutator(multiply(X_257,commutator(X_418,X_10)),X_418) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(commutator(X_418,multiply(X_257,X_10)),X_257),X_418),commutator(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_418)))),X_418)) ),[1],$fot(commutator(multiply(X_257,commutator(X_418,X_10)),X_418))]]) ).
cnf(refute_0_3993,plain,
( commutator(multiply(commutator(X_418,multiply(X_257,X_10)),X_257),X_418) != commutator(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_418)))),X_418)
| commutator(multiply(commutator(X_418,multiply(X_257,X_10)),X_257),X_418) = commutator(multiply(X_257,commutator(X_418,X_10)),X_418) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_418)))),X_418),commutator(multiply(X_257,commutator(X_418,X_10)),X_418)) )],[refute_0_3991,refute_0_3992]) ).
cnf(refute_0_3994,plain,
commutator(multiply(commutator(X_418,multiply(X_257,X_10)),X_257),X_418) = commutator(multiply(X_257,commutator(X_418,X_10)),X_418),
inference(resolve,[$cnf( $equal(commutator(multiply(commutator(X_418,multiply(X_257,X_10)),X_257),X_418),commutator(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_418)))),X_418)) )],[refute_0_3958,refute_0_3993]) ).
cnf(refute_0_3995,plain,
commutator(multiply(Y,multiply(X_549,multiply(inverse(multiply(X_549,Y)),X_548))),Y) = commutator(multiply(X_549,multiply(inverse(multiply(X_549,Y)),X_548)),Y),
inference(subst,[],[refute_0_951:[bind(X_86,$fot(multiply(X_549,multiply(inverse(multiply(X_549,Y)),X_548))))]]) ).
cnf(refute_0_3996,plain,
multiply(multiply(X,multiply(X_184,inverse(multiply(X_184,X)))),Z) = multiply(X,multiply(multiply(X_184,inverse(multiply(X_184,X))),Z)),
inference(subst,[],[associativity:[bind(Y,$fot(multiply(X_184,inverse(multiply(X_184,X)))))]]) ).
cnf(refute_0_3997,plain,
commutator(X,X_184) = multiply(X,multiply(X_184,inverse(multiply(X_184,X)))),
inference(subst,[],[refute_0_1317:[bind(X_27,$fot(X_184)),bind(X_41,$fot(X))]]) ).
cnf(refute_0_3998,plain,
( commutator(X,X_184) != multiply(X,multiply(X_184,inverse(multiply(X_184,X))))
| multiply(X,multiply(X_184,inverse(multiply(X_184,X)))) = commutator(X,X_184) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X,X_184))),bind(Y0,$fot(multiply(X,multiply(X_184,inverse(multiply(X_184,X))))))]]) ).
cnf(refute_0_3999,plain,
multiply(X,multiply(X_184,inverse(multiply(X_184,X)))) = commutator(X,X_184),
inference(resolve,[$cnf( $equal(commutator(X,X_184),multiply(X,multiply(X_184,inverse(multiply(X_184,X))))) )],[refute_0_3997,refute_0_3998]) ).
cnf(refute_0_4000,plain,
( multiply(X,multiply(X_184,inverse(multiply(X_184,X)))) != commutator(X,X_184)
| multiply(multiply(X,multiply(X_184,inverse(multiply(X_184,X)))),Z) != multiply(X,multiply(multiply(X_184,inverse(multiply(X_184,X))),Z))
| multiply(commutator(X,X_184),Z) = multiply(X,multiply(multiply(X_184,inverse(multiply(X_184,X))),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X,multiply(X_184,inverse(multiply(X_184,X)))),Z),multiply(X,multiply(multiply(X_184,inverse(multiply(X_184,X))),Z))) ),[0,0],$fot(commutator(X,X_184))]]) ).
cnf(refute_0_4001,plain,
( multiply(multiply(X,multiply(X_184,inverse(multiply(X_184,X)))),Z) != multiply(X,multiply(multiply(X_184,inverse(multiply(X_184,X))),Z))
| multiply(commutator(X,X_184),Z) = multiply(X,multiply(multiply(X_184,inverse(multiply(X_184,X))),Z)) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_184,inverse(multiply(X_184,X)))),commutator(X,X_184)) )],[refute_0_3999,refute_0_4000]) ).
cnf(refute_0_4002,plain,
multiply(commutator(X,X_184),Z) = multiply(X,multiply(multiply(X_184,inverse(multiply(X_184,X))),Z)),
inference(resolve,[$cnf( $equal(multiply(multiply(X,multiply(X_184,inverse(multiply(X_184,X)))),Z),multiply(X,multiply(multiply(X_184,inverse(multiply(X_184,X))),Z))) )],[refute_0_3996,refute_0_4001]) ).
cnf(refute_0_4003,plain,
multiply(multiply(X_184,inverse(multiply(X_184,X))),Z) = multiply(X_184,multiply(inverse(multiply(X_184,X)),Z)),
inference(subst,[],[associativity:[bind(X,$fot(X_184)),bind(Y,$fot(inverse(multiply(X_184,X))))]]) ).
cnf(refute_0_4004,plain,
multiply(X,multiply(multiply(X_184,inverse(multiply(X_184,X))),Z)) = multiply(X,multiply(multiply(X_184,inverse(multiply(X_184,X))),Z)),
introduced(tautology,[refl,[$fot(multiply(X,multiply(multiply(X_184,inverse(multiply(X_184,X))),Z)))]]) ).
cnf(refute_0_4005,plain,
( multiply(X,multiply(multiply(X_184,inverse(multiply(X_184,X))),Z)) != multiply(X,multiply(multiply(X_184,inverse(multiply(X_184,X))),Z))
| multiply(multiply(X_184,inverse(multiply(X_184,X))),Z) != multiply(X_184,multiply(inverse(multiply(X_184,X)),Z))
| multiply(X,multiply(multiply(X_184,inverse(multiply(X_184,X))),Z)) = multiply(X,multiply(X_184,multiply(inverse(multiply(X_184,X)),Z))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(multiply(X_184,inverse(multiply(X_184,X))),Z)),multiply(X,multiply(multiply(X_184,inverse(multiply(X_184,X))),Z))) ),[1,1],$fot(multiply(X_184,multiply(inverse(multiply(X_184,X)),Z)))]]) ).
cnf(refute_0_4006,plain,
( multiply(multiply(X_184,inverse(multiply(X_184,X))),Z) != multiply(X_184,multiply(inverse(multiply(X_184,X)),Z))
| multiply(X,multiply(multiply(X_184,inverse(multiply(X_184,X))),Z)) = multiply(X,multiply(X_184,multiply(inverse(multiply(X_184,X)),Z))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(X_184,inverse(multiply(X_184,X))),Z)),multiply(X,multiply(multiply(X_184,inverse(multiply(X_184,X))),Z))) )],[refute_0_4004,refute_0_4005]) ).
cnf(refute_0_4007,plain,
multiply(X,multiply(multiply(X_184,inverse(multiply(X_184,X))),Z)) = multiply(X,multiply(X_184,multiply(inverse(multiply(X_184,X)),Z))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_184,inverse(multiply(X_184,X))),Z),multiply(X_184,multiply(inverse(multiply(X_184,X)),Z))) )],[refute_0_4003,refute_0_4006]) ).
cnf(refute_0_4008,plain,
( multiply(X,multiply(multiply(X_184,inverse(multiply(X_184,X))),Z)) != multiply(X,multiply(X_184,multiply(inverse(multiply(X_184,X)),Z)))
| multiply(commutator(X,X_184),Z) != multiply(X,multiply(multiply(X_184,inverse(multiply(X_184,X))),Z))
| multiply(commutator(X,X_184),Z) = multiply(X,multiply(X_184,multiply(inverse(multiply(X_184,X)),Z))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X,X_184),Z),multiply(X,multiply(multiply(X_184,inverse(multiply(X_184,X))),Z))) ),[1],$fot(multiply(X,multiply(X_184,multiply(inverse(multiply(X_184,X)),Z))))]]) ).
cnf(refute_0_4009,plain,
( multiply(commutator(X,X_184),Z) != multiply(X,multiply(multiply(X_184,inverse(multiply(X_184,X))),Z))
| multiply(commutator(X,X_184),Z) = multiply(X,multiply(X_184,multiply(inverse(multiply(X_184,X)),Z))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(X_184,inverse(multiply(X_184,X))),Z)),multiply(X,multiply(X_184,multiply(inverse(multiply(X_184,X)),Z)))) )],[refute_0_4007,refute_0_4008]) ).
cnf(refute_0_4010,plain,
multiply(commutator(X,X_184),Z) = multiply(X,multiply(X_184,multiply(inverse(multiply(X_184,X)),Z))),
inference(resolve,[$cnf( $equal(multiply(commutator(X,X_184),Z),multiply(X,multiply(multiply(X_184,inverse(multiply(X_184,X))),Z))) )],[refute_0_4002,refute_0_4009]) ).
cnf(refute_0_4011,plain,
multiply(commutator(Y,X_549),X_548) = multiply(Y,multiply(X_549,multiply(inverse(multiply(X_549,Y)),X_548))),
inference(subst,[],[refute_0_4010:[bind(X,$fot(Y)),bind(Z,$fot(X_548)),bind(X_184,$fot(X_549))]]) ).
cnf(refute_0_4012,plain,
( multiply(commutator(Y,X_549),X_548) != multiply(Y,multiply(X_549,multiply(inverse(multiply(X_549,Y)),X_548)))
| multiply(Y,multiply(X_549,multiply(inverse(multiply(X_549,Y)),X_548))) = multiply(commutator(Y,X_549),X_548) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(commutator(Y,X_549),X_548))),bind(Y0,$fot(multiply(Y,multiply(X_549,multiply(inverse(multiply(X_549,Y)),X_548)))))]]) ).
cnf(refute_0_4013,plain,
multiply(Y,multiply(X_549,multiply(inverse(multiply(X_549,Y)),X_548))) = multiply(commutator(Y,X_549),X_548),
inference(resolve,[$cnf( $equal(multiply(commutator(Y,X_549),X_548),multiply(Y,multiply(X_549,multiply(inverse(multiply(X_549,Y)),X_548)))) )],[refute_0_4011,refute_0_4012]) ).
cnf(refute_0_4014,plain,
( multiply(Y,multiply(X_549,multiply(inverse(multiply(X_549,Y)),X_548))) != multiply(commutator(Y,X_549),X_548)
| commutator(multiply(Y,multiply(X_549,multiply(inverse(multiply(X_549,Y)),X_548))),Y) != commutator(multiply(X_549,multiply(inverse(multiply(X_549,Y)),X_548)),Y)
| commutator(multiply(commutator(Y,X_549),X_548),Y) = commutator(multiply(X_549,multiply(inverse(multiply(X_549,Y)),X_548)),Y) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(Y,multiply(X_549,multiply(inverse(multiply(X_549,Y)),X_548))),Y),commutator(multiply(X_549,multiply(inverse(multiply(X_549,Y)),X_548)),Y)) ),[0,0],$fot(multiply(commutator(Y,X_549),X_548))]]) ).
cnf(refute_0_4015,plain,
( commutator(multiply(Y,multiply(X_549,multiply(inverse(multiply(X_549,Y)),X_548))),Y) != commutator(multiply(X_549,multiply(inverse(multiply(X_549,Y)),X_548)),Y)
| commutator(multiply(commutator(Y,X_549),X_548),Y) = commutator(multiply(X_549,multiply(inverse(multiply(X_549,Y)),X_548)),Y) ),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(X_549,multiply(inverse(multiply(X_549,Y)),X_548))),multiply(commutator(Y,X_549),X_548)) )],[refute_0_4013,refute_0_4014]) ).
cnf(refute_0_4016,plain,
commutator(multiply(commutator(Y,X_549),X_548),Y) = commutator(multiply(X_549,multiply(inverse(multiply(X_549,Y)),X_548)),Y),
inference(resolve,[$cnf( $equal(commutator(multiply(Y,multiply(X_549,multiply(inverse(multiply(X_549,Y)),X_548))),Y),commutator(multiply(X_549,multiply(inverse(multiply(X_549,Y)),X_548)),Y)) )],[refute_0_3995,refute_0_4015]) ).
cnf(refute_0_4017,plain,
commutator(multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)),X_15) = multiply(X_15,multiply(inverse(multiply(X_15,multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))),
inference(subst,[],[refute_0_1905:[bind(X_16,$fot(multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548))))]]) ).
cnf(refute_0_4018,plain,
multiply(commutator(X_15,X_549),X_548) = multiply(X_15,multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548))),
inference(subst,[],[refute_0_4010:[bind(X,$fot(X_15)),bind(Z,$fot(X_548)),bind(X_184,$fot(X_549))]]) ).
cnf(refute_0_4019,plain,
( multiply(commutator(X_15,X_549),X_548) != multiply(X_15,multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))
| multiply(X_15,multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548))) = multiply(commutator(X_15,X_549),X_548) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(commutator(X_15,X_549),X_548))),bind(Y0,$fot(multiply(X_15,multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))))]]) ).
cnf(refute_0_4020,plain,
multiply(X_15,multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548))) = multiply(commutator(X_15,X_549),X_548),
inference(resolve,[$cnf( $equal(multiply(commutator(X_15,X_549),X_548),multiply(X_15,multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))) )],[refute_0_4018,refute_0_4019]) ).
cnf(refute_0_4021,plain,
( multiply(X_15,multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548))) != multiply(commutator(X_15,X_549),X_548)
| commutator(multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)),X_15) != multiply(X_15,multiply(inverse(multiply(X_15,multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548))))
| commutator(multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)),X_15) = multiply(X_15,multiply(inverse(multiply(commutator(X_15,X_549),X_548)),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)),X_15),multiply(X_15,multiply(inverse(multiply(X_15,multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548))))) ),[1,1,0,0],$fot(multiply(commutator(X_15,X_549),X_548))]]) ).
cnf(refute_0_4022,plain,
( commutator(multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)),X_15) != multiply(X_15,multiply(inverse(multiply(X_15,multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548))))
| commutator(multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)),X_15) = multiply(X_15,multiply(inverse(multiply(commutator(X_15,X_549),X_548)),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))) ),
inference(resolve,[$cnf( $equal(multiply(X_15,multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548))),multiply(commutator(X_15,X_549),X_548)) )],[refute_0_4020,refute_0_4021]) ).
cnf(refute_0_4023,plain,
commutator(multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)),X_15) = multiply(X_15,multiply(inverse(multiply(commutator(X_15,X_549),X_548)),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)),X_15),multiply(X_15,multiply(inverse(multiply(X_15,multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548))))) )],[refute_0_4017,refute_0_4022]) ).
cnf(refute_0_4024,plain,
multiply(X_15,multiply(inverse(multiply(X_15,X_548)),X_548)) = commutator(X_548,X_15),
inference(subst,[],[refute_0_1907:[bind(X_16,$fot(X_548))]]) ).
cnf(refute_0_4025,plain,
multiply(inverse(X_548),multiply(inverse(X_15),X_548)) = multiply(inverse(multiply(X_15,X_548)),X_548),
inference(subst,[],[refute_0_242:[bind(Z,$fot(X_548)),bind(X_62,$fot(X_548)),bind(X_63,$fot(X_15))]]) ).
cnf(refute_0_4026,plain,
( multiply(inverse(X_58),Z) != multiply(X,multiply(inverse(multiply(X_58,X)),Z))
| multiply(X,multiply(inverse(multiply(X_58,X)),Z)) = multiply(inverse(X_58),Z) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(inverse(X_58),Z))),bind(Y0,$fot(multiply(X,multiply(inverse(multiply(X_58,X)),Z))))]]) ).
cnf(refute_0_4027,plain,
multiply(X,multiply(inverse(multiply(X_58,X)),Z)) = multiply(inverse(X_58),Z),
inference(resolve,[$cnf( $equal(multiply(inverse(X_58),Z),multiply(X,multiply(inverse(multiply(X_58,X)),Z))) )],[refute_0_660,refute_0_4026]) ).
cnf(refute_0_4028,plain,
multiply(X_549,multiply(inverse(multiply(X_15,X_549)),X_548)) = multiply(inverse(X_15),X_548),
inference(subst,[],[refute_0_4027:[bind(X,$fot(X_549)),bind(Z,$fot(X_548)),bind(X_58,$fot(X_15))]]) ).
cnf(refute_0_4029,plain,
multiply(commutator(X_506,multiply(X_506,X_11)),multiply(inverse(multiply(X_506,X_11)),X_505)) = multiply(inverse(multiply(multiply(X_506,X_11),X_506)),multiply(X_506,X_505)),
inference(subst,[],[refute_0_2844:[bind(Z,$fot(X_505)),bind(X_255,$fot(X_506)),bind(X_256,$fot(multiply(X_506,X_11)))]]) ).
cnf(refute_0_4030,plain,
commutator(X_506,multiply(X_506,X_11)) = commutator(X_506,X_11),
inference(subst,[],[refute_0_455:[bind(X_10,$fot(X_506))]]) ).
cnf(refute_0_4031,plain,
( multiply(commutator(X_506,multiply(X_506,X_11)),multiply(inverse(multiply(X_506,X_11)),X_505)) != multiply(inverse(multiply(multiply(X_506,X_11),X_506)),multiply(X_506,X_505))
| commutator(X_506,multiply(X_506,X_11)) != commutator(X_506,X_11)
| multiply(commutator(X_506,X_11),multiply(inverse(multiply(X_506,X_11)),X_505)) = multiply(inverse(multiply(multiply(X_506,X_11),X_506)),multiply(X_506,X_505)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_506,multiply(X_506,X_11)),multiply(inverse(multiply(X_506,X_11)),X_505)),multiply(inverse(multiply(multiply(X_506,X_11),X_506)),multiply(X_506,X_505))) ),[0,0],$fot(commutator(X_506,X_11))]]) ).
cnf(refute_0_4032,plain,
( multiply(commutator(X_506,multiply(X_506,X_11)),multiply(inverse(multiply(X_506,X_11)),X_505)) != multiply(inverse(multiply(multiply(X_506,X_11),X_506)),multiply(X_506,X_505))
| multiply(commutator(X_506,X_11),multiply(inverse(multiply(X_506,X_11)),X_505)) = multiply(inverse(multiply(multiply(X_506,X_11),X_506)),multiply(X_506,X_505)) ),
inference(resolve,[$cnf( $equal(commutator(X_506,multiply(X_506,X_11)),commutator(X_506,X_11)) )],[refute_0_4030,refute_0_4031]) ).
cnf(refute_0_4033,plain,
multiply(commutator(X_506,X_11),multiply(inverse(multiply(X_506,X_11)),X_505)) = multiply(inverse(multiply(multiply(X_506,X_11),X_506)),multiply(X_506,X_505)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_506,multiply(X_506,X_11)),multiply(inverse(multiply(X_506,X_11)),X_505)),multiply(inverse(multiply(multiply(X_506,X_11),X_506)),multiply(X_506,X_505))) )],[refute_0_4029,refute_0_4032]) ).
cnf(refute_0_4034,plain,
multiply(inverse(multiply(X_506,multiply(X_11,X_506))),multiply(X_506,X_505)) = multiply(inverse(multiply(X_11,X_506)),X_505),
inference(subst,[],[refute_0_2826:[bind(Z,$fot(X_505)),bind(X_50,$fot(X_506)),bind(X_51,$fot(multiply(X_11,X_506)))]]) ).
cnf(refute_0_4035,plain,
multiply(multiply(X_506,X_11),X_506) = multiply(X_506,multiply(X_11,X_506)),
inference(subst,[],[associativity:[bind(X,$fot(X_506)),bind(Y,$fot(X_11)),bind(Z,$fot(X_506))]]) ).
cnf(refute_0_4036,plain,
inverse(multiply(multiply(X_506,X_11),X_506)) = inverse(multiply(multiply(X_506,X_11),X_506)),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_506,X_11),X_506)))]]) ).
cnf(refute_0_4037,plain,
( multiply(multiply(X_506,X_11),X_506) != multiply(X_506,multiply(X_11,X_506))
| inverse(multiply(multiply(X_506,X_11),X_506)) != inverse(multiply(multiply(X_506,X_11),X_506))
| inverse(multiply(multiply(X_506,X_11),X_506)) = inverse(multiply(X_506,multiply(X_11,X_506))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_506,X_11),X_506)),inverse(multiply(multiply(X_506,X_11),X_506))) ),[1,0],$fot(multiply(X_506,multiply(X_11,X_506)))]]) ).
cnf(refute_0_4038,plain,
( multiply(multiply(X_506,X_11),X_506) != multiply(X_506,multiply(X_11,X_506))
| inverse(multiply(multiply(X_506,X_11),X_506)) = inverse(multiply(X_506,multiply(X_11,X_506))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_506,X_11),X_506)),inverse(multiply(multiply(X_506,X_11),X_506))) )],[refute_0_4036,refute_0_4037]) ).
cnf(refute_0_4039,plain,
inverse(multiply(multiply(X_506,X_11),X_506)) = inverse(multiply(X_506,multiply(X_11,X_506))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_506,X_11),X_506),multiply(X_506,multiply(X_11,X_506))) )],[refute_0_4035,refute_0_4038]) ).
cnf(refute_0_4040,plain,
multiply(inverse(multiply(multiply(X_506,X_11),X_506)),multiply(X_506,X_505)) = multiply(inverse(multiply(multiply(X_506,X_11),X_506)),multiply(X_506,X_505)),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(multiply(X_506,X_11),X_506)),multiply(X_506,X_505)))]]) ).
cnf(refute_0_4041,plain,
( multiply(inverse(multiply(multiply(X_506,X_11),X_506)),multiply(X_506,X_505)) != multiply(inverse(multiply(multiply(X_506,X_11),X_506)),multiply(X_506,X_505))
| inverse(multiply(multiply(X_506,X_11),X_506)) != inverse(multiply(X_506,multiply(X_11,X_506)))
| multiply(inverse(multiply(multiply(X_506,X_11),X_506)),multiply(X_506,X_505)) = multiply(inverse(multiply(X_506,multiply(X_11,X_506))),multiply(X_506,X_505)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(multiply(X_506,X_11),X_506)),multiply(X_506,X_505)),multiply(inverse(multiply(multiply(X_506,X_11),X_506)),multiply(X_506,X_505))) ),[1,0],$fot(inverse(multiply(X_506,multiply(X_11,X_506))))]]) ).
cnf(refute_0_4042,plain,
( inverse(multiply(multiply(X_506,X_11),X_506)) != inverse(multiply(X_506,multiply(X_11,X_506)))
| multiply(inverse(multiply(multiply(X_506,X_11),X_506)),multiply(X_506,X_505)) = multiply(inverse(multiply(X_506,multiply(X_11,X_506))),multiply(X_506,X_505)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_506,X_11),X_506)),multiply(X_506,X_505)),multiply(inverse(multiply(multiply(X_506,X_11),X_506)),multiply(X_506,X_505))) )],[refute_0_4040,refute_0_4041]) ).
cnf(refute_0_4043,plain,
multiply(inverse(multiply(multiply(X_506,X_11),X_506)),multiply(X_506,X_505)) = multiply(inverse(multiply(X_506,multiply(X_11,X_506))),multiply(X_506,X_505)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_506,X_11),X_506)),inverse(multiply(X_506,multiply(X_11,X_506)))) )],[refute_0_4039,refute_0_4042]) ).
cnf(refute_0_4044,plain,
( multiply(inverse(multiply(X_506,multiply(X_11,X_506))),multiply(X_506,X_505)) != multiply(inverse(multiply(X_11,X_506)),X_505)
| multiply(inverse(multiply(multiply(X_506,X_11),X_506)),multiply(X_506,X_505)) != multiply(inverse(multiply(X_506,multiply(X_11,X_506))),multiply(X_506,X_505))
| multiply(inverse(multiply(multiply(X_506,X_11),X_506)),multiply(X_506,X_505)) = multiply(inverse(multiply(X_11,X_506)),X_505) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(multiply(X_506,X_11),X_506)),multiply(X_506,X_505)))),bind(Y0,$fot(multiply(inverse(multiply(X_506,multiply(X_11,X_506))),multiply(X_506,X_505)))),bind(Z0,$fot(multiply(inverse(multiply(X_11,X_506)),X_505)))]]) ).
cnf(refute_0_4045,plain,
( multiply(inverse(multiply(X_506,multiply(X_11,X_506))),multiply(X_506,X_505)) != multiply(inverse(multiply(X_11,X_506)),X_505)
| multiply(inverse(multiply(multiply(X_506,X_11),X_506)),multiply(X_506,X_505)) = multiply(inverse(multiply(X_11,X_506)),X_505) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_506,X_11),X_506)),multiply(X_506,X_505)),multiply(inverse(multiply(X_506,multiply(X_11,X_506))),multiply(X_506,X_505))) )],[refute_0_4043,refute_0_4044]) ).
cnf(refute_0_4046,plain,
multiply(inverse(multiply(multiply(X_506,X_11),X_506)),multiply(X_506,X_505)) = multiply(inverse(multiply(X_11,X_506)),X_505),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_506,multiply(X_11,X_506))),multiply(X_506,X_505)),multiply(inverse(multiply(X_11,X_506)),X_505)) )],[refute_0_4034,refute_0_4045]) ).
cnf(refute_0_4047,plain,
( multiply(commutator(X_506,X_11),multiply(inverse(multiply(X_506,X_11)),X_505)) != multiply(inverse(multiply(multiply(X_506,X_11),X_506)),multiply(X_506,X_505))
| multiply(inverse(multiply(multiply(X_506,X_11),X_506)),multiply(X_506,X_505)) != multiply(inverse(multiply(X_11,X_506)),X_505)
| multiply(commutator(X_506,X_11),multiply(inverse(multiply(X_506,X_11)),X_505)) = multiply(inverse(multiply(X_11,X_506)),X_505) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(commutator(X_506,X_11),multiply(inverse(multiply(X_506,X_11)),X_505)),multiply(inverse(multiply(X_11,X_506)),X_505)) ),[0],$fot(multiply(inverse(multiply(multiply(X_506,X_11),X_506)),multiply(X_506,X_505)))]]) ).
cnf(refute_0_4048,plain,
( multiply(commutator(X_506,X_11),multiply(inverse(multiply(X_506,X_11)),X_505)) != multiply(inverse(multiply(multiply(X_506,X_11),X_506)),multiply(X_506,X_505))
| multiply(commutator(X_506,X_11),multiply(inverse(multiply(X_506,X_11)),X_505)) = multiply(inverse(multiply(X_11,X_506)),X_505) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_506,X_11),X_506)),multiply(X_506,X_505)),multiply(inverse(multiply(X_11,X_506)),X_505)) )],[refute_0_4046,refute_0_4047]) ).
cnf(refute_0_4049,plain,
multiply(commutator(X_506,X_11),multiply(inverse(multiply(X_506,X_11)),X_505)) = multiply(inverse(multiply(X_11,X_506)),X_505),
inference(resolve,[$cnf( $equal(multiply(commutator(X_506,X_11),multiply(inverse(multiply(X_506,X_11)),X_505)),multiply(inverse(multiply(multiply(X_506,X_11),X_506)),multiply(X_506,X_505))) )],[refute_0_4033,refute_0_4048]) ).
cnf(refute_0_4050,plain,
multiply(commutator(X_549,X_15),multiply(inverse(multiply(X_549,X_15)),X_548)) = multiply(inverse(multiply(X_15,X_549)),X_548),
inference(subst,[],[refute_0_4049:[bind(X_11,$fot(X_15)),bind(X_505,$fot(X_548)),bind(X_506,$fot(X_549))]]) ).
cnf(refute_0_4051,plain,
multiply(X_549,multiply(commutator(X_549,X_15),multiply(inverse(multiply(X_549,X_15)),X_548))) = multiply(X_549,multiply(commutator(X_549,X_15),multiply(inverse(multiply(X_549,X_15)),X_548))),
introduced(tautology,[refl,[$fot(multiply(X_549,multiply(commutator(X_549,X_15),multiply(inverse(multiply(X_549,X_15)),X_548))))]]) ).
cnf(refute_0_4052,plain,
( multiply(X_549,multiply(commutator(X_549,X_15),multiply(inverse(multiply(X_549,X_15)),X_548))) != multiply(X_549,multiply(commutator(X_549,X_15),multiply(inverse(multiply(X_549,X_15)),X_548)))
| multiply(commutator(X_549,X_15),multiply(inverse(multiply(X_549,X_15)),X_548)) != multiply(inverse(multiply(X_15,X_549)),X_548)
| multiply(X_549,multiply(commutator(X_549,X_15),multiply(inverse(multiply(X_549,X_15)),X_548))) = multiply(X_549,multiply(inverse(multiply(X_15,X_549)),X_548)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_549,multiply(commutator(X_549,X_15),multiply(inverse(multiply(X_549,X_15)),X_548))),multiply(X_549,multiply(commutator(X_549,X_15),multiply(inverse(multiply(X_549,X_15)),X_548)))) ),[1,1],$fot(multiply(inverse(multiply(X_15,X_549)),X_548))]]) ).
cnf(refute_0_4053,plain,
( multiply(commutator(X_549,X_15),multiply(inverse(multiply(X_549,X_15)),X_548)) != multiply(inverse(multiply(X_15,X_549)),X_548)
| multiply(X_549,multiply(commutator(X_549,X_15),multiply(inverse(multiply(X_549,X_15)),X_548))) = multiply(X_549,multiply(inverse(multiply(X_15,X_549)),X_548)) ),
inference(resolve,[$cnf( $equal(multiply(X_549,multiply(commutator(X_549,X_15),multiply(inverse(multiply(X_549,X_15)),X_548))),multiply(X_549,multiply(commutator(X_549,X_15),multiply(inverse(multiply(X_549,X_15)),X_548)))) )],[refute_0_4051,refute_0_4052]) ).
cnf(refute_0_4054,plain,
multiply(X_549,multiply(commutator(X_549,X_15),multiply(inverse(multiply(X_549,X_15)),X_548))) = multiply(X_549,multiply(inverse(multiply(X_15,X_549)),X_548)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_549,X_15),multiply(inverse(multiply(X_549,X_15)),X_548)),multiply(inverse(multiply(X_15,X_549)),X_548)) )],[refute_0_4050,refute_0_4053]) ).
cnf(refute_0_4055,plain,
( multiply(X_549,multiply(commutator(X_549,X_15),multiply(inverse(multiply(X_549,X_15)),X_548))) != multiply(X_549,multiply(inverse(multiply(X_15,X_549)),X_548))
| multiply(X_549,multiply(inverse(multiply(X_15,X_549)),X_548)) != multiply(inverse(X_15),X_548)
| multiply(X_549,multiply(commutator(X_549,X_15),multiply(inverse(multiply(X_549,X_15)),X_548))) = multiply(inverse(X_15),X_548) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_549,multiply(commutator(X_549,X_15),multiply(inverse(multiply(X_549,X_15)),X_548))))),bind(Y0,$fot(multiply(X_549,multiply(inverse(multiply(X_15,X_549)),X_548)))),bind(Z0,$fot(multiply(inverse(X_15),X_548)))]]) ).
cnf(refute_0_4056,plain,
( multiply(X_549,multiply(inverse(multiply(X_15,X_549)),X_548)) != multiply(inverse(X_15),X_548)
| multiply(X_549,multiply(commutator(X_549,X_15),multiply(inverse(multiply(X_549,X_15)),X_548))) = multiply(inverse(X_15),X_548) ),
inference(resolve,[$cnf( $equal(multiply(X_549,multiply(commutator(X_549,X_15),multiply(inverse(multiply(X_549,X_15)),X_548))),multiply(X_549,multiply(inverse(multiply(X_15,X_549)),X_548))) )],[refute_0_4054,refute_0_4055]) ).
cnf(refute_0_4057,plain,
multiply(X_549,multiply(commutator(X_549,X_15),multiply(inverse(multiply(X_549,X_15)),X_548))) = multiply(inverse(X_15),X_548),
inference(resolve,[$cnf( $equal(multiply(X_549,multiply(inverse(multiply(X_15,X_549)),X_548)),multiply(inverse(X_15),X_548)) )],[refute_0_4028,refute_0_4056]) ).
cnf(refute_0_4058,plain,
multiply(commutator(X_549,X_15),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548))) = multiply(X_549,multiply(commutator(X_549,X_15),multiply(inverse(multiply(X_549,X_15)),X_548))),
inference(subst,[],[refute_0_3327:[bind(Y,$fot(X_15)),bind(X_235,$fot(multiply(inverse(multiply(X_549,X_15)),X_548))),bind(X_236,$fot(X_549))]]) ).
cnf(refute_0_4059,plain,
( multiply(X_549,multiply(commutator(X_549,X_15),multiply(inverse(multiply(X_549,X_15)),X_548))) != multiply(inverse(X_15),X_548)
| multiply(commutator(X_549,X_15),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548))) != multiply(X_549,multiply(commutator(X_549,X_15),multiply(inverse(multiply(X_549,X_15)),X_548)))
| multiply(commutator(X_549,X_15),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548))) = multiply(inverse(X_15),X_548) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_549,X_15),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548))))),bind(Y0,$fot(multiply(X_549,multiply(commutator(X_549,X_15),multiply(inverse(multiply(X_549,X_15)),X_548))))),bind(Z0,$fot(multiply(inverse(X_15),X_548)))]]) ).
cnf(refute_0_4060,plain,
( multiply(X_549,multiply(commutator(X_549,X_15),multiply(inverse(multiply(X_549,X_15)),X_548))) != multiply(inverse(X_15),X_548)
| multiply(commutator(X_549,X_15),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548))) = multiply(inverse(X_15),X_548) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_549,X_15),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548))),multiply(X_549,multiply(commutator(X_549,X_15),multiply(inverse(multiply(X_549,X_15)),X_548)))) )],[refute_0_4058,refute_0_4059]) ).
cnf(refute_0_4061,plain,
multiply(commutator(X_549,X_15),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548))) = multiply(inverse(X_15),X_548),
inference(resolve,[$cnf( $equal(multiply(X_549,multiply(commutator(X_549,X_15),multiply(inverse(multiply(X_549,X_15)),X_548))),multiply(inverse(X_15),X_548)) )],[refute_0_4057,refute_0_4060]) ).
cnf(refute_0_4062,plain,
multiply(inverse(X_548),multiply(commutator(X_549,X_15),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))) = multiply(inverse(X_548),multiply(commutator(X_549,X_15),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_548),multiply(commutator(X_549,X_15),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))))]]) ).
cnf(refute_0_4063,plain,
( multiply(commutator(X_549,X_15),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548))) != multiply(inverse(X_15),X_548)
| multiply(inverse(X_548),multiply(commutator(X_549,X_15),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))) != multiply(inverse(X_548),multiply(commutator(X_549,X_15),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548))))
| multiply(inverse(X_548),multiply(commutator(X_549,X_15),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))) = multiply(inverse(X_548),multiply(inverse(X_15),X_548)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_548),multiply(commutator(X_549,X_15),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))),multiply(inverse(X_548),multiply(commutator(X_549,X_15),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548))))) ),[1,1],$fot(multiply(inverse(X_15),X_548))]]) ).
cnf(refute_0_4064,plain,
( multiply(commutator(X_549,X_15),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548))) != multiply(inverse(X_15),X_548)
| multiply(inverse(X_548),multiply(commutator(X_549,X_15),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))) = multiply(inverse(X_548),multiply(inverse(X_15),X_548)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_548),multiply(commutator(X_549,X_15),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))),multiply(inverse(X_548),multiply(commutator(X_549,X_15),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548))))) )],[refute_0_4062,refute_0_4063]) ).
cnf(refute_0_4065,plain,
multiply(inverse(X_548),multiply(commutator(X_549,X_15),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))) = multiply(inverse(X_548),multiply(inverse(X_15),X_548)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_549,X_15),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548))),multiply(inverse(X_15),X_548)) )],[refute_0_4061,refute_0_4064]) ).
cnf(refute_0_4066,plain,
( multiply(inverse(X_548),multiply(commutator(X_549,X_15),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))) != multiply(inverse(X_548),multiply(inverse(X_15),X_548))
| multiply(inverse(X_548),multiply(inverse(X_15),X_548)) != multiply(inverse(multiply(X_15,X_548)),X_548)
| multiply(inverse(X_548),multiply(commutator(X_549,X_15),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))) = multiply(inverse(multiply(X_15,X_548)),X_548) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(X_548),multiply(commutator(X_549,X_15),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))))),bind(Y0,$fot(multiply(inverse(X_548),multiply(inverse(X_15),X_548)))),bind(Z0,$fot(multiply(inverse(multiply(X_15,X_548)),X_548)))]]) ).
cnf(refute_0_4067,plain,
( multiply(inverse(X_548),multiply(inverse(X_15),X_548)) != multiply(inverse(multiply(X_15,X_548)),X_548)
| multiply(inverse(X_548),multiply(commutator(X_549,X_15),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))) = multiply(inverse(multiply(X_15,X_548)),X_548) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_548),multiply(commutator(X_549,X_15),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))),multiply(inverse(X_548),multiply(inverse(X_15),X_548))) )],[refute_0_4065,refute_0_4066]) ).
cnf(refute_0_4068,plain,
multiply(inverse(X_548),multiply(commutator(X_549,X_15),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))) = multiply(inverse(multiply(X_15,X_548)),X_548),
inference(resolve,[$cnf( $equal(multiply(inverse(X_548),multiply(inverse(X_15),X_548)),multiply(inverse(multiply(X_15,X_548)),X_548)) )],[refute_0_4025,refute_0_4067]) ).
cnf(refute_0_4069,plain,
multiply(inverse(multiply(commutator(X_15,X_549),X_548)),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548))) = multiply(inverse(X_548),multiply(commutator(X_549,X_15),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))),
inference(subst,[],[refute_0_684:[bind(Z,$fot(multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))),bind(X_353,$fot(X_548)),bind(X_354,$fot(X_15)),bind(X_355,$fot(X_549))]]) ).
cnf(refute_0_4070,plain,
( multiply(inverse(X_548),multiply(commutator(X_549,X_15),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))) != multiply(inverse(multiply(X_15,X_548)),X_548)
| multiply(inverse(multiply(commutator(X_15,X_549),X_548)),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548))) != multiply(inverse(X_548),multiply(commutator(X_549,X_15),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548))))
| multiply(inverse(multiply(commutator(X_15,X_549),X_548)),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548))) = multiply(inverse(multiply(X_15,X_548)),X_548) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(commutator(X_15,X_549),X_548)),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548))))),bind(Y0,$fot(multiply(inverse(X_548),multiply(commutator(X_549,X_15),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))))),bind(Z0,$fot(multiply(inverse(multiply(X_15,X_548)),X_548)))]]) ).
cnf(refute_0_4071,plain,
( multiply(inverse(X_548),multiply(commutator(X_549,X_15),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))) != multiply(inverse(multiply(X_15,X_548)),X_548)
| multiply(inverse(multiply(commutator(X_15,X_549),X_548)),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548))) = multiply(inverse(multiply(X_15,X_548)),X_548) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(commutator(X_15,X_549),X_548)),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548))),multiply(inverse(X_548),multiply(commutator(X_549,X_15),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548))))) )],[refute_0_4069,refute_0_4070]) ).
cnf(refute_0_4072,plain,
multiply(inverse(multiply(commutator(X_15,X_549),X_548)),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548))) = multiply(inverse(multiply(X_15,X_548)),X_548),
inference(resolve,[$cnf( $equal(multiply(inverse(X_548),multiply(commutator(X_549,X_15),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))),multiply(inverse(multiply(X_15,X_548)),X_548)) )],[refute_0_4068,refute_0_4071]) ).
cnf(refute_0_4073,plain,
multiply(X_15,multiply(inverse(multiply(commutator(X_15,X_549),X_548)),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))) = multiply(X_15,multiply(inverse(multiply(commutator(X_15,X_549),X_548)),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))),
introduced(tautology,[refl,[$fot(multiply(X_15,multiply(inverse(multiply(commutator(X_15,X_549),X_548)),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))))]]) ).
cnf(refute_0_4074,plain,
( multiply(X_15,multiply(inverse(multiply(commutator(X_15,X_549),X_548)),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))) != multiply(X_15,multiply(inverse(multiply(commutator(X_15,X_549),X_548)),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548))))
| multiply(inverse(multiply(commutator(X_15,X_549),X_548)),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548))) != multiply(inverse(multiply(X_15,X_548)),X_548)
| multiply(X_15,multiply(inverse(multiply(commutator(X_15,X_549),X_548)),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))) = multiply(X_15,multiply(inverse(multiply(X_15,X_548)),X_548)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_15,multiply(inverse(multiply(commutator(X_15,X_549),X_548)),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))),multiply(X_15,multiply(inverse(multiply(commutator(X_15,X_549),X_548)),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548))))) ),[1,1],$fot(multiply(inverse(multiply(X_15,X_548)),X_548))]]) ).
cnf(refute_0_4075,plain,
( multiply(inverse(multiply(commutator(X_15,X_549),X_548)),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548))) != multiply(inverse(multiply(X_15,X_548)),X_548)
| multiply(X_15,multiply(inverse(multiply(commutator(X_15,X_549),X_548)),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))) = multiply(X_15,multiply(inverse(multiply(X_15,X_548)),X_548)) ),
inference(resolve,[$cnf( $equal(multiply(X_15,multiply(inverse(multiply(commutator(X_15,X_549),X_548)),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))),multiply(X_15,multiply(inverse(multiply(commutator(X_15,X_549),X_548)),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548))))) )],[refute_0_4073,refute_0_4074]) ).
cnf(refute_0_4076,plain,
multiply(X_15,multiply(inverse(multiply(commutator(X_15,X_549),X_548)),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))) = multiply(X_15,multiply(inverse(multiply(X_15,X_548)),X_548)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(commutator(X_15,X_549),X_548)),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548))),multiply(inverse(multiply(X_15,X_548)),X_548)) )],[refute_0_4072,refute_0_4075]) ).
cnf(refute_0_4077,plain,
( multiply(X_15,multiply(inverse(multiply(X_15,X_548)),X_548)) != commutator(X_548,X_15)
| multiply(X_15,multiply(inverse(multiply(commutator(X_15,X_549),X_548)),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))) != multiply(X_15,multiply(inverse(multiply(X_15,X_548)),X_548))
| multiply(X_15,multiply(inverse(multiply(commutator(X_15,X_549),X_548)),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))) = commutator(X_548,X_15) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_15,multiply(inverse(multiply(commutator(X_15,X_549),X_548)),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))))),bind(Y0,$fot(multiply(X_15,multiply(inverse(multiply(X_15,X_548)),X_548)))),bind(Z0,$fot(commutator(X_548,X_15)))]]) ).
cnf(refute_0_4078,plain,
( multiply(X_15,multiply(inverse(multiply(X_15,X_548)),X_548)) != commutator(X_548,X_15)
| multiply(X_15,multiply(inverse(multiply(commutator(X_15,X_549),X_548)),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))) = commutator(X_548,X_15) ),
inference(resolve,[$cnf( $equal(multiply(X_15,multiply(inverse(multiply(commutator(X_15,X_549),X_548)),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))),multiply(X_15,multiply(inverse(multiply(X_15,X_548)),X_548))) )],[refute_0_4076,refute_0_4077]) ).
cnf(refute_0_4079,plain,
multiply(X_15,multiply(inverse(multiply(commutator(X_15,X_549),X_548)),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))) = commutator(X_548,X_15),
inference(resolve,[$cnf( $equal(multiply(X_15,multiply(inverse(multiply(X_15,X_548)),X_548)),commutator(X_548,X_15)) )],[refute_0_4024,refute_0_4078]) ).
cnf(refute_0_4080,plain,
( multiply(X_15,multiply(inverse(multiply(commutator(X_15,X_549),X_548)),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))) != commutator(X_548,X_15)
| commutator(multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)),X_15) != multiply(X_15,multiply(inverse(multiply(commutator(X_15,X_549),X_548)),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548))))
| commutator(multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)),X_15) = commutator(X_548,X_15) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)),X_15),multiply(X_15,multiply(inverse(multiply(commutator(X_15,X_549),X_548)),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548))))) ),[1],$fot(commutator(X_548,X_15))]]) ).
cnf(refute_0_4081,plain,
( commutator(multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)),X_15) != multiply(X_15,multiply(inverse(multiply(commutator(X_15,X_549),X_548)),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548))))
| commutator(multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)),X_15) = commutator(X_548,X_15) ),
inference(resolve,[$cnf( $equal(multiply(X_15,multiply(inverse(multiply(commutator(X_15,X_549),X_548)),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)))),commutator(X_548,X_15)) )],[refute_0_4079,refute_0_4080]) ).
cnf(refute_0_4082,plain,
commutator(multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)),X_15) = commutator(X_548,X_15),
inference(resolve,[$cnf( $equal(commutator(multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548)),X_15),multiply(X_15,multiply(inverse(multiply(commutator(X_15,X_549),X_548)),multiply(X_549,multiply(inverse(multiply(X_549,X_15)),X_548))))) )],[refute_0_4023,refute_0_4081]) ).
cnf(refute_0_4083,plain,
commutator(multiply(X_549,multiply(inverse(multiply(X_549,Y)),X_548)),Y) = commutator(X_548,Y),
inference(subst,[],[refute_0_4082:[bind(X_15,$fot(Y))]]) ).
cnf(refute_0_4084,plain,
( commutator(multiply(X_549,multiply(inverse(multiply(X_549,Y)),X_548)),Y) != commutator(X_548,Y)
| commutator(multiply(commutator(Y,X_549),X_548),Y) != commutator(multiply(X_549,multiply(inverse(multiply(X_549,Y)),X_548)),Y)
| commutator(multiply(commutator(Y,X_549),X_548),Y) = commutator(X_548,Y) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(commutator(Y,X_549),X_548),Y),commutator(multiply(X_549,multiply(inverse(multiply(X_549,Y)),X_548)),Y)) ),[1],$fot(commutator(X_548,Y))]]) ).
cnf(refute_0_4085,plain,
( commutator(multiply(commutator(Y,X_549),X_548),Y) != commutator(multiply(X_549,multiply(inverse(multiply(X_549,Y)),X_548)),Y)
| commutator(multiply(commutator(Y,X_549),X_548),Y) = commutator(X_548,Y) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_549,multiply(inverse(multiply(X_549,Y)),X_548)),Y),commutator(X_548,Y)) )],[refute_0_4083,refute_0_4084]) ).
cnf(refute_0_4086,plain,
commutator(multiply(commutator(Y,X_549),X_548),Y) = commutator(X_548,Y),
inference(resolve,[$cnf( $equal(commutator(multiply(commutator(Y,X_549),X_548),Y),commutator(multiply(X_549,multiply(inverse(multiply(X_549,Y)),X_548)),Y)) )],[refute_0_4016,refute_0_4085]) ).
cnf(refute_0_4087,plain,
commutator(multiply(commutator(X_418,multiply(X_257,X_10)),X_257),X_418) = commutator(X_257,X_418),
inference(subst,[],[refute_0_4086:[bind(Y,$fot(X_418)),bind(X_548,$fot(X_257)),bind(X_549,$fot(multiply(X_257,X_10)))]]) ).
cnf(refute_0_4088,plain,
( commutator(multiply(commutator(X_418,multiply(X_257,X_10)),X_257),X_418) != commutator(X_257,X_418)
| commutator(multiply(commutator(X_418,multiply(X_257,X_10)),X_257),X_418) != commutator(multiply(X_257,commutator(X_418,X_10)),X_418)
| commutator(X_257,X_418) = commutator(multiply(X_257,commutator(X_418,X_10)),X_418) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(commutator(X_418,multiply(X_257,X_10)),X_257),X_418),commutator(multiply(X_257,commutator(X_418,X_10)),X_418)) ),[0],$fot(commutator(X_257,X_418))]]) ).
cnf(refute_0_4089,plain,
( commutator(multiply(commutator(X_418,multiply(X_257,X_10)),X_257),X_418) != commutator(multiply(X_257,commutator(X_418,X_10)),X_418)
| commutator(X_257,X_418) = commutator(multiply(X_257,commutator(X_418,X_10)),X_418) ),
inference(resolve,[$cnf( $equal(commutator(multiply(commutator(X_418,multiply(X_257,X_10)),X_257),X_418),commutator(X_257,X_418)) )],[refute_0_4087,refute_0_4088]) ).
cnf(refute_0_4090,plain,
commutator(X_257,X_418) = commutator(multiply(X_257,commutator(X_418,X_10)),X_418),
inference(resolve,[$cnf( $equal(commutator(multiply(commutator(X_418,multiply(X_257,X_10)),X_257),X_418),commutator(multiply(X_257,commutator(X_418,X_10)),X_418)) )],[refute_0_3994,refute_0_4089]) ).
cnf(refute_0_4091,plain,
( commutator(X_257,X_418) != commutator(multiply(X_257,commutator(X_418,X_10)),X_418)
| commutator(multiply(X_257,commutator(X_418,X_10)),X_418) = commutator(X_257,X_418) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_257,X_418))),bind(Y0,$fot(commutator(multiply(X_257,commutator(X_418,X_10)),X_418)))]]) ).
cnf(refute_0_4092,plain,
commutator(multiply(X_257,commutator(X_418,X_10)),X_418) = commutator(X_257,X_418),
inference(resolve,[$cnf( $equal(commutator(X_257,X_418),commutator(multiply(X_257,commutator(X_418,X_10)),X_418)) )],[refute_0_4090,refute_0_4091]) ).
cnf(refute_0_4093,plain,
commutator(multiply(X_128,commutator(X_608,X_607)),X_608) = commutator(X_128,X_608),
inference(subst,[],[refute_0_4092:[bind(X_10,$fot(X_607)),bind(X_257,$fot(X_128)),bind(X_418,$fot(X_608))]]) ).
cnf(refute_0_4094,plain,
commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607)))) = commutator(multiply(X_128,commutator(X_608,X_607)),X_608),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(multiply(X_128,commutator(X_608,X_607)))),bind(X_110,$fot(X_608))]]) ).
cnf(refute_0_4095,plain,
( commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607)))) != commutator(multiply(X_128,commutator(X_608,X_607)),X_608)
| commutator(multiply(X_128,commutator(X_608,X_607)),X_608) != commutator(X_128,X_608)
| commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607)))) = commutator(X_128,X_608) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607)))))),bind(Y0,$fot(commutator(multiply(X_128,commutator(X_608,X_607)),X_608))),bind(Z0,$fot(commutator(X_128,X_608)))]]) ).
cnf(refute_0_4096,plain,
( commutator(multiply(X_128,commutator(X_608,X_607)),X_608) != commutator(X_128,X_608)
| commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607)))) = commutator(X_128,X_608) ),
inference(resolve,[$cnf( $equal(commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607)))),commutator(multiply(X_128,commutator(X_608,X_607)),X_608)) )],[refute_0_4094,refute_0_4095]) ).
cnf(refute_0_4097,plain,
commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607)))) = commutator(X_128,X_608),
inference(resolve,[$cnf( $equal(commutator(multiply(X_128,commutator(X_608,X_607)),X_608),commutator(X_128,X_608)) )],[refute_0_4093,refute_0_4096]) ).
cnf(refute_0_4098,plain,
commutator(X_607,commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607))))) = commutator(X_607,commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607))))),
introduced(tautology,[refl,[$fot(commutator(X_607,commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607))))))]]) ).
cnf(refute_0_4099,plain,
( commutator(X_607,commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607))))) != commutator(X_607,commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607)))))
| commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607)))) != commutator(X_128,X_608)
| commutator(X_607,commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607))))) = commutator(X_607,commutator(X_128,X_608)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_607,commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607))))),commutator(X_607,commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607)))))) ),[1,1],$fot(commutator(X_128,X_608))]]) ).
cnf(refute_0_4100,plain,
( commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607)))) != commutator(X_128,X_608)
| commutator(X_607,commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607))))) = commutator(X_607,commutator(X_128,X_608)) ),
inference(resolve,[$cnf( $equal(commutator(X_607,commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607))))),commutator(X_607,commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607)))))) )],[refute_0_4098,refute_0_4099]) ).
cnf(refute_0_4101,plain,
commutator(X_607,commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607))))) = commutator(X_607,commutator(X_128,X_608)),
inference(resolve,[$cnf( $equal(commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607)))),commutator(X_128,X_608)) )],[refute_0_4097,refute_0_4100]) ).
cnf(refute_0_4102,plain,
multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607)))))) = multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607)))))),
introduced(tautology,[refl,[$fot(multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607)))))))]]) ).
cnf(refute_0_4103,plain,
( multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607)))))) != multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607))))))
| commutator(X_607,commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607))))) != commutator(X_607,commutator(X_128,X_608))
| multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607)))))) = multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_128,X_608))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607)))))),multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607))))))) ),[1,1],$fot(commutator(X_607,commutator(X_128,X_608)))]]) ).
cnf(refute_0_4104,plain,
( commutator(X_607,commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607))))) != commutator(X_607,commutator(X_128,X_608))
| multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607)))))) = multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_128,X_608))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607)))))),multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607))))))) )],[refute_0_4102,refute_0_4103]) ).
cnf(refute_0_4105,plain,
multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607)))))) = multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_128,X_608))),
inference(resolve,[$cnf( $equal(commutator(X_607,commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607))))),commutator(X_607,commutator(X_128,X_608))) )],[refute_0_4101,refute_0_4104]) ).
cnf(refute_0_4106,plain,
multiply(X_58,inverse(multiply(X_58,commutator(X_608,X_607)))) = inverse(multiply(commutator(X_608,X_607),commutator(X_58,commutator(X_608,X_607)))),
inference(subst,[],[refute_0_598:[bind(X_10,$fot(commutator(X_608,X_607)))]]) ).
cnf(refute_0_4107,plain,
multiply(X_58,inverse(multiply(X_58,commutator(X_608,X_607)))) = multiply(commutator(X_607,X_608),commutator(X_58,commutator(X_607,X_608))),
inference(subst,[],[refute_0_3925:[bind(X_255,$fot(X_607)),bind(X_256,$fot(X_608)),bind(X_90,$fot(X_58))]]) ).
cnf(refute_0_4108,plain,
( multiply(X_58,inverse(multiply(X_58,commutator(X_608,X_607)))) != multiply(commutator(X_607,X_608),commutator(X_58,commutator(X_607,X_608)))
| multiply(X_58,inverse(multiply(X_58,commutator(X_608,X_607)))) != inverse(multiply(commutator(X_608,X_607),commutator(X_58,commutator(X_608,X_607))))
| multiply(commutator(X_607,X_608),commutator(X_58,commutator(X_607,X_608))) = inverse(multiply(commutator(X_608,X_607),commutator(X_58,commutator(X_608,X_607)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,commutator(X_608,X_607)))),inverse(multiply(commutator(X_608,X_607),commutator(X_58,commutator(X_608,X_607))))) ),[0],$fot(multiply(commutator(X_607,X_608),commutator(X_58,commutator(X_607,X_608))))]]) ).
cnf(refute_0_4109,plain,
( multiply(X_58,inverse(multiply(X_58,commutator(X_608,X_607)))) != inverse(multiply(commutator(X_608,X_607),commutator(X_58,commutator(X_608,X_607))))
| multiply(commutator(X_607,X_608),commutator(X_58,commutator(X_607,X_608))) = inverse(multiply(commutator(X_608,X_607),commutator(X_58,commutator(X_608,X_607)))) ),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,commutator(X_608,X_607)))),multiply(commutator(X_607,X_608),commutator(X_58,commutator(X_607,X_608)))) )],[refute_0_4107,refute_0_4108]) ).
cnf(refute_0_4110,plain,
multiply(commutator(X_607,X_608),commutator(X_58,commutator(X_607,X_608))) = inverse(multiply(commutator(X_608,X_607),commutator(X_58,commutator(X_608,X_607)))),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,commutator(X_608,X_607)))),inverse(multiply(commutator(X_608,X_607),commutator(X_58,commutator(X_608,X_607))))) )],[refute_0_4106,refute_0_4109]) ).
cnf(refute_0_4111,plain,
multiply(commutator(X_608,commutator(X_607,X_58)),commutator(X_607,X_608)) = multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_608,X_58))),
inference(subst,[],[refute_0_3769:[bind(Y,$fot(X_58)),bind(X_282,$fot(X_608)),bind(X_283,$fot(X_607))]]) ).
cnf(refute_0_4112,plain,
commutator(commutator(X_608,X_607),X_58) = commutator(X_608,commutator(X_607,X_58)),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(X_608)),bind(Y,$fot(X_607)),bind(Z,$fot(X_58))]]) ).
cnf(refute_0_4113,plain,
multiply(commutator(commutator(X_608,X_607),X_58),commutator(X_607,X_608)) = multiply(commutator(commutator(X_608,X_607),X_58),commutator(X_607,X_608)),
introduced(tautology,[refl,[$fot(multiply(commutator(commutator(X_608,X_607),X_58),commutator(X_607,X_608)))]]) ).
cnf(refute_0_4114,plain,
( multiply(commutator(commutator(X_608,X_607),X_58),commutator(X_607,X_608)) != multiply(commutator(commutator(X_608,X_607),X_58),commutator(X_607,X_608))
| commutator(commutator(X_608,X_607),X_58) != commutator(X_608,commutator(X_607,X_58))
| multiply(commutator(commutator(X_608,X_607),X_58),commutator(X_607,X_608)) = multiply(commutator(X_608,commutator(X_607,X_58)),commutator(X_607,X_608)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(commutator(X_608,X_607),X_58),commutator(X_607,X_608)),multiply(commutator(commutator(X_608,X_607),X_58),commutator(X_607,X_608))) ),[1,0],$fot(commutator(X_608,commutator(X_607,X_58)))]]) ).
cnf(refute_0_4115,plain,
( commutator(commutator(X_608,X_607),X_58) != commutator(X_608,commutator(X_607,X_58))
| multiply(commutator(commutator(X_608,X_607),X_58),commutator(X_607,X_608)) = multiply(commutator(X_608,commutator(X_607,X_58)),commutator(X_607,X_608)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(commutator(X_608,X_607),X_58),commutator(X_607,X_608)),multiply(commutator(commutator(X_608,X_607),X_58),commutator(X_607,X_608))) )],[refute_0_4113,refute_0_4114]) ).
cnf(refute_0_4116,plain,
multiply(commutator(commutator(X_608,X_607),X_58),commutator(X_607,X_608)) = multiply(commutator(X_608,commutator(X_607,X_58)),commutator(X_607,X_608)),
inference(resolve,[$cnf( $equal(commutator(commutator(X_608,X_607),X_58),commutator(X_608,commutator(X_607,X_58))) )],[refute_0_4112,refute_0_4115]) ).
cnf(refute_0_4117,plain,
( multiply(commutator(X_608,commutator(X_607,X_58)),commutator(X_607,X_608)) != multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_608,X_58)))
| multiply(commutator(commutator(X_608,X_607),X_58),commutator(X_607,X_608)) != multiply(commutator(X_608,commutator(X_607,X_58)),commutator(X_607,X_608))
| multiply(commutator(commutator(X_608,X_607),X_58),commutator(X_607,X_608)) = multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_608,X_58))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(commutator(X_608,X_607),X_58),commutator(X_607,X_608)))),bind(Y0,$fot(multiply(commutator(X_608,commutator(X_607,X_58)),commutator(X_607,X_608)))),bind(Z0,$fot(multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_608,X_58)))))]]) ).
cnf(refute_0_4118,plain,
( multiply(commutator(X_608,commutator(X_607,X_58)),commutator(X_607,X_608)) != multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_608,X_58)))
| multiply(commutator(commutator(X_608,X_607),X_58),commutator(X_607,X_608)) = multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_608,X_58))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(commutator(X_608,X_607),X_58),commutator(X_607,X_608)),multiply(commutator(X_608,commutator(X_607,X_58)),commutator(X_607,X_608))) )],[refute_0_4116,refute_0_4117]) ).
cnf(refute_0_4119,plain,
multiply(commutator(commutator(X_608,X_607),X_58),commutator(X_607,X_608)) = multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_608,X_58))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_608,commutator(X_607,X_58)),commutator(X_607,X_608)),multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_608,X_58)))) )],[refute_0_4111,refute_0_4118]) ).
cnf(refute_0_4120,plain,
inverse(multiply(commutator(X_608,X_607),commutator(X_58,commutator(X_608,X_607)))) = multiply(commutator(commutator(X_608,X_607),X_58),commutator(X_607,X_608)),
inference(subst,[],[refute_0_3762:[bind(X,$fot(X_607)),bind(Y,$fot(X_608)),bind(X_534,$fot(commutator(X_608,X_607))),bind(X_535,$fot(X_58))]]) ).
cnf(refute_0_4121,plain,
( multiply(commutator(commutator(X_608,X_607),X_58),commutator(X_607,X_608)) != multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_608,X_58)))
| inverse(multiply(commutator(X_608,X_607),commutator(X_58,commutator(X_608,X_607)))) != multiply(commutator(commutator(X_608,X_607),X_58),commutator(X_607,X_608))
| inverse(multiply(commutator(X_608,X_607),commutator(X_58,commutator(X_608,X_607)))) = multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_608,X_58))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(commutator(X_608,X_607),commutator(X_58,commutator(X_608,X_607)))))),bind(Y0,$fot(multiply(commutator(commutator(X_608,X_607),X_58),commutator(X_607,X_608)))),bind(Z0,$fot(multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_608,X_58)))))]]) ).
cnf(refute_0_4122,plain,
( multiply(commutator(commutator(X_608,X_607),X_58),commutator(X_607,X_608)) != multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_608,X_58)))
| inverse(multiply(commutator(X_608,X_607),commutator(X_58,commutator(X_608,X_607)))) = multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_608,X_58))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_608,X_607),commutator(X_58,commutator(X_608,X_607)))),multiply(commutator(commutator(X_608,X_607),X_58),commutator(X_607,X_608))) )],[refute_0_4120,refute_0_4121]) ).
cnf(refute_0_4123,plain,
inverse(multiply(commutator(X_608,X_607),commutator(X_58,commutator(X_608,X_607)))) = multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_608,X_58))),
inference(resolve,[$cnf( $equal(multiply(commutator(commutator(X_608,X_607),X_58),commutator(X_607,X_608)),multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_608,X_58)))) )],[refute_0_4119,refute_0_4122]) ).
cnf(refute_0_4124,plain,
( multiply(commutator(X_607,X_608),commutator(X_58,commutator(X_607,X_608))) != inverse(multiply(commutator(X_608,X_607),commutator(X_58,commutator(X_608,X_607))))
| inverse(multiply(commutator(X_608,X_607),commutator(X_58,commutator(X_608,X_607)))) != multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_608,X_58)))
| multiply(commutator(X_607,X_608),commutator(X_58,commutator(X_607,X_608))) = multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_608,X_58))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(commutator(X_607,X_608),commutator(X_58,commutator(X_607,X_608))),multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_608,X_58)))) ),[0],$fot(inverse(multiply(commutator(X_608,X_607),commutator(X_58,commutator(X_608,X_607)))))]]) ).
cnf(refute_0_4125,plain,
( multiply(commutator(X_607,X_608),commutator(X_58,commutator(X_607,X_608))) != inverse(multiply(commutator(X_608,X_607),commutator(X_58,commutator(X_608,X_607))))
| multiply(commutator(X_607,X_608),commutator(X_58,commutator(X_607,X_608))) = multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_608,X_58))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_608,X_607),commutator(X_58,commutator(X_608,X_607)))),multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_608,X_58)))) )],[refute_0_4123,refute_0_4124]) ).
cnf(refute_0_4126,plain,
multiply(commutator(X_607,X_608),commutator(X_58,commutator(X_607,X_608))) = multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_608,X_58))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_607,X_608),commutator(X_58,commutator(X_607,X_608))),inverse(multiply(commutator(X_608,X_607),commutator(X_58,commutator(X_608,X_607))))) )],[refute_0_4110,refute_0_4125]) ).
cnf(refute_0_4127,plain,
multiply(commutator(X_607,X_608),commutator(inverse(multiply(X_128,commutator(X_608,X_607))),commutator(X_607,X_608))) = multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607)))))),
inference(subst,[],[refute_0_4126:[bind(X_58,$fot(inverse(multiply(X_128,commutator(X_608,X_607)))))]]) ).
cnf(refute_0_4128,plain,
( multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607)))))) != multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_128,X_608)))
| multiply(commutator(X_607,X_608),commutator(inverse(multiply(X_128,commutator(X_608,X_607))),commutator(X_607,X_608))) != multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607))))))
| multiply(commutator(X_607,X_608),commutator(inverse(multiply(X_128,commutator(X_608,X_607))),commutator(X_607,X_608))) = multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_128,X_608))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_607,X_608),commutator(inverse(multiply(X_128,commutator(X_608,X_607))),commutator(X_607,X_608))))),bind(Y0,$fot(multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607)))))))),bind(Z0,$fot(multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_128,X_608)))))]]) ).
cnf(refute_0_4129,plain,
( multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607)))))) != multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_128,X_608)))
| multiply(commutator(X_607,X_608),commutator(inverse(multiply(X_128,commutator(X_608,X_607))),commutator(X_607,X_608))) = multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_128,X_608))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_607,X_608),commutator(inverse(multiply(X_128,commutator(X_608,X_607))),commutator(X_607,X_608))),multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607))))))) )],[refute_0_4127,refute_0_4128]) ).
cnf(refute_0_4130,plain,
multiply(commutator(X_607,X_608),commutator(inverse(multiply(X_128,commutator(X_608,X_607))),commutator(X_607,X_608))) = multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_128,X_608))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_608,inverse(multiply(X_128,commutator(X_608,X_607)))))),multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_128,X_608)))) )],[refute_0_4105,refute_0_4129]) ).
cnf(refute_0_4131,plain,
( multiply(commutator(X_607,X_608),commutator(X_128,commutator(X_608,X_607))) != multiply(commutator(X_607,X_608),commutator(inverse(multiply(X_128,commutator(X_608,X_607))),commutator(X_607,X_608)))
| multiply(commutator(X_607,X_608),commutator(inverse(multiply(X_128,commutator(X_608,X_607))),commutator(X_607,X_608))) != multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_128,X_608)))
| multiply(commutator(X_607,X_608),commutator(X_128,commutator(X_608,X_607))) = multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_128,X_608))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(commutator(X_607,X_608),commutator(X_128,commutator(X_608,X_607))),multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_128,X_608)))) ),[0],$fot(multiply(commutator(X_607,X_608),commutator(inverse(multiply(X_128,commutator(X_608,X_607))),commutator(X_607,X_608))))]]) ).
cnf(refute_0_4132,plain,
( multiply(commutator(X_607,X_608),commutator(X_128,commutator(X_608,X_607))) != multiply(commutator(X_607,X_608),commutator(inverse(multiply(X_128,commutator(X_608,X_607))),commutator(X_607,X_608)))
| multiply(commutator(X_607,X_608),commutator(X_128,commutator(X_608,X_607))) = multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_128,X_608))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_607,X_608),commutator(inverse(multiply(X_128,commutator(X_608,X_607))),commutator(X_607,X_608))),multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_128,X_608)))) )],[refute_0_4130,refute_0_4131]) ).
cnf(refute_0_4133,plain,
( multiply(inverse(multiply(X_128,commutator(X_608,X_607))),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))))) != multiply(commutator(X_607,X_608),commutator(inverse(multiply(X_128,commutator(X_608,X_607))),commutator(X_607,X_608)))
| multiply(commutator(X_607,X_608),commutator(X_128,commutator(X_608,X_607))) = multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_128,X_608))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_607,X_608),commutator(X_128,commutator(X_608,X_607))),multiply(commutator(X_607,X_608),commutator(inverse(multiply(X_128,commutator(X_608,X_607))),commutator(X_607,X_608)))) )],[refute_0_3951,refute_0_4132]) ).
cnf(refute_0_4134,plain,
multiply(commutator(X_607,X_608),commutator(X_128,commutator(X_608,X_607))) = multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_128,X_608))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_128,commutator(X_608,X_607))),inverse(inverse(multiply(X_128,commutator(X_128,commutator(X_608,X_607)))))),multiply(commutator(X_607,X_608),commutator(inverse(multiply(X_128,commutator(X_608,X_607))),commutator(X_607,X_608)))) )],[refute_0_3932,refute_0_4133]) ).
cnf(refute_0_4135,plain,
commutator(multiply(X_162,X_161),inverse(multiply(X_161,commutator(X_161,Y)))) = multiply(inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))),multiply(X_162,multiply(X_161,inverse(multiply(X_161,commutator(X_161,Y)))))),
inference(subst,[],[refute_0_713:[bind(Y,$fot(inverse(multiply(X_161,commutator(X_161,Y))))),bind(X_10,$fot(X_161)),bind(X_9,$fot(X_162))]]) ).
cnf(refute_0_4136,plain,
commutator(Y,X_161) = multiply(X_161,inverse(multiply(X_161,commutator(X_161,Y)))),
inference(subst,[],[refute_0_1923:[bind(X_136,$fot(X_161))]]) ).
cnf(refute_0_4137,plain,
( commutator(Y,X_161) != multiply(X_161,inverse(multiply(X_161,commutator(X_161,Y))))
| multiply(X_161,inverse(multiply(X_161,commutator(X_161,Y)))) = commutator(Y,X_161) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(Y,X_161))),bind(Y0,$fot(multiply(X_161,inverse(multiply(X_161,commutator(X_161,Y))))))]]) ).
cnf(refute_0_4138,plain,
multiply(X_161,inverse(multiply(X_161,commutator(X_161,Y)))) = commutator(Y,X_161),
inference(resolve,[$cnf( $equal(commutator(Y,X_161),multiply(X_161,inverse(multiply(X_161,commutator(X_161,Y))))) )],[refute_0_4136,refute_0_4137]) ).
cnf(refute_0_4139,plain,
( multiply(X_161,inverse(multiply(X_161,commutator(X_161,Y)))) != commutator(Y,X_161)
| commutator(multiply(X_162,X_161),inverse(multiply(X_161,commutator(X_161,Y)))) != multiply(inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))),multiply(X_162,multiply(X_161,inverse(multiply(X_161,commutator(X_161,Y))))))
| commutator(multiply(X_162,X_161),inverse(multiply(X_161,commutator(X_161,Y)))) = multiply(inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))),multiply(X_162,commutator(Y,X_161))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_162,X_161),inverse(multiply(X_161,commutator(X_161,Y)))),multiply(inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))),multiply(X_162,multiply(X_161,inverse(multiply(X_161,commutator(X_161,Y))))))) ),[1,1,1],$fot(commutator(Y,X_161))]]) ).
cnf(refute_0_4140,plain,
( commutator(multiply(X_162,X_161),inverse(multiply(X_161,commutator(X_161,Y)))) != multiply(inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))),multiply(X_162,multiply(X_161,inverse(multiply(X_161,commutator(X_161,Y))))))
| commutator(multiply(X_162,X_161),inverse(multiply(X_161,commutator(X_161,Y)))) = multiply(inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))),multiply(X_162,commutator(Y,X_161))) ),
inference(resolve,[$cnf( $equal(multiply(X_161,inverse(multiply(X_161,commutator(X_161,Y)))),commutator(Y,X_161)) )],[refute_0_4138,refute_0_4139]) ).
cnf(refute_0_4141,plain,
commutator(multiply(X_162,X_161),inverse(multiply(X_161,commutator(X_161,Y)))) = multiply(inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))),multiply(X_162,commutator(Y,X_161))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_162,X_161),inverse(multiply(X_161,commutator(X_161,Y)))),multiply(inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))),multiply(X_162,multiply(X_161,inverse(multiply(X_161,commutator(X_161,Y))))))) )],[refute_0_4135,refute_0_4140]) ).
cnf(refute_0_4142,plain,
commutator(multiply(X_162,X_161),inverse(multiply(X_161,commutator(X_161,Y)))) = commutator(multiply(X_161,commutator(X_161,Y)),multiply(X_162,X_161)),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(multiply(X_161,commutator(X_161,Y)))),bind(X_110,$fot(multiply(X_162,X_161)))]]) ).
cnf(refute_0_4143,plain,
( commutator(multiply(X_162,X_161),inverse(multiply(X_161,commutator(X_161,Y)))) != multiply(inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))),multiply(X_162,commutator(Y,X_161)))
| commutator(multiply(X_162,X_161),inverse(multiply(X_161,commutator(X_161,Y)))) != commutator(multiply(X_161,commutator(X_161,Y)),multiply(X_162,X_161))
| commutator(multiply(X_161,commutator(X_161,Y)),multiply(X_162,X_161)) = multiply(inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))),multiply(X_162,commutator(Y,X_161))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_162,X_161),inverse(multiply(X_161,commutator(X_161,Y)))),multiply(inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))),multiply(X_162,commutator(Y,X_161)))) ),[0],$fot(commutator(multiply(X_161,commutator(X_161,Y)),multiply(X_162,X_161)))]]) ).
cnf(refute_0_4144,plain,
( commutator(multiply(X_162,X_161),inverse(multiply(X_161,commutator(X_161,Y)))) != multiply(inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))),multiply(X_162,commutator(Y,X_161)))
| commutator(multiply(X_161,commutator(X_161,Y)),multiply(X_162,X_161)) = multiply(inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))),multiply(X_162,commutator(Y,X_161))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_162,X_161),inverse(multiply(X_161,commutator(X_161,Y)))),commutator(multiply(X_161,commutator(X_161,Y)),multiply(X_162,X_161))) )],[refute_0_4142,refute_0_4143]) ).
cnf(refute_0_4145,plain,
multiply(multiply(X_161,commutator(X_161,Y)),multiply(X_162,commutator(Y,X_161))) = multiply(X_161,multiply(commutator(X_161,Y),multiply(X_162,commutator(Y,X_161)))),
inference(subst,[],[associativity:[bind(X,$fot(X_161)),bind(Y,$fot(commutator(X_161,Y))),bind(Z,$fot(multiply(X_162,commutator(Y,X_161))))]]) ).
cnf(refute_0_4146,plain,
multiply(inverse(multiply(X_162,X_161)),multiply(multiply(X_161,commutator(X_161,Y)),multiply(X_162,commutator(Y,X_161)))) = multiply(inverse(multiply(X_162,X_161)),multiply(multiply(X_161,commutator(X_161,Y)),multiply(X_162,commutator(Y,X_161)))),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_162,X_161)),multiply(multiply(X_161,commutator(X_161,Y)),multiply(X_162,commutator(Y,X_161)))))]]) ).
cnf(refute_0_4147,plain,
( multiply(multiply(X_161,commutator(X_161,Y)),multiply(X_162,commutator(Y,X_161))) != multiply(X_161,multiply(commutator(X_161,Y),multiply(X_162,commutator(Y,X_161))))
| multiply(inverse(multiply(X_162,X_161)),multiply(multiply(X_161,commutator(X_161,Y)),multiply(X_162,commutator(Y,X_161)))) != multiply(inverse(multiply(X_162,X_161)),multiply(multiply(X_161,commutator(X_161,Y)),multiply(X_162,commutator(Y,X_161))))
| multiply(inverse(multiply(X_162,X_161)),multiply(multiply(X_161,commutator(X_161,Y)),multiply(X_162,commutator(Y,X_161)))) = multiply(inverse(multiply(X_162,X_161)),multiply(X_161,multiply(commutator(X_161,Y),multiply(X_162,commutator(Y,X_161))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_162,X_161)),multiply(multiply(X_161,commutator(X_161,Y)),multiply(X_162,commutator(Y,X_161)))),multiply(inverse(multiply(X_162,X_161)),multiply(multiply(X_161,commutator(X_161,Y)),multiply(X_162,commutator(Y,X_161))))) ),[1,1],$fot(multiply(X_161,multiply(commutator(X_161,Y),multiply(X_162,commutator(Y,X_161)))))]]) ).
cnf(refute_0_4148,plain,
( multiply(multiply(X_161,commutator(X_161,Y)),multiply(X_162,commutator(Y,X_161))) != multiply(X_161,multiply(commutator(X_161,Y),multiply(X_162,commutator(Y,X_161))))
| multiply(inverse(multiply(X_162,X_161)),multiply(multiply(X_161,commutator(X_161,Y)),multiply(X_162,commutator(Y,X_161)))) = multiply(inverse(multiply(X_162,X_161)),multiply(X_161,multiply(commutator(X_161,Y),multiply(X_162,commutator(Y,X_161))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_162,X_161)),multiply(multiply(X_161,commutator(X_161,Y)),multiply(X_162,commutator(Y,X_161)))),multiply(inverse(multiply(X_162,X_161)),multiply(multiply(X_161,commutator(X_161,Y)),multiply(X_162,commutator(Y,X_161))))) )],[refute_0_4146,refute_0_4147]) ).
cnf(refute_0_4149,plain,
multiply(inverse(multiply(X_162,X_161)),multiply(multiply(X_161,commutator(X_161,Y)),multiply(X_162,commutator(Y,X_161)))) = multiply(inverse(multiply(X_162,X_161)),multiply(X_161,multiply(commutator(X_161,Y),multiply(X_162,commutator(Y,X_161))))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_161,commutator(X_161,Y)),multiply(X_162,commutator(Y,X_161))),multiply(X_161,multiply(commutator(X_161,Y),multiply(X_162,commutator(Y,X_161))))) )],[refute_0_4145,refute_0_4148]) ).
cnf(refute_0_4150,plain,
multiply(multiply(inverse(multiply(X_162,X_161)),multiply(X_161,commutator(X_161,Y))),multiply(X_162,commutator(Y,X_161))) = multiply(inverse(multiply(X_162,X_161)),multiply(multiply(X_161,commutator(X_161,Y)),multiply(X_162,commutator(Y,X_161)))),
inference(subst,[],[associativity:[bind(X,$fot(inverse(multiply(X_162,X_161)))),bind(Y,$fot(multiply(X_161,commutator(X_161,Y)))),bind(Z,$fot(multiply(X_162,commutator(Y,X_161))))]]) ).
cnf(refute_0_4151,plain,
( multiply(multiply(inverse(multiply(X_162,X_161)),multiply(X_161,commutator(X_161,Y))),multiply(X_162,commutator(Y,X_161))) != multiply(inverse(multiply(X_162,X_161)),multiply(multiply(X_161,commutator(X_161,Y)),multiply(X_162,commutator(Y,X_161))))
| multiply(inverse(multiply(X_162,X_161)),multiply(multiply(X_161,commutator(X_161,Y)),multiply(X_162,commutator(Y,X_161)))) != multiply(inverse(multiply(X_162,X_161)),multiply(X_161,multiply(commutator(X_161,Y),multiply(X_162,commutator(Y,X_161)))))
| multiply(multiply(inverse(multiply(X_162,X_161)),multiply(X_161,commutator(X_161,Y))),multiply(X_162,commutator(Y,X_161))) = multiply(inverse(multiply(X_162,X_161)),multiply(X_161,multiply(commutator(X_161,Y),multiply(X_162,commutator(Y,X_161))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(inverse(multiply(X_162,X_161)),multiply(X_161,commutator(X_161,Y))),multiply(X_162,commutator(Y,X_161))))),bind(Y0,$fot(multiply(inverse(multiply(X_162,X_161)),multiply(multiply(X_161,commutator(X_161,Y)),multiply(X_162,commutator(Y,X_161)))))),bind(Z0,$fot(multiply(inverse(multiply(X_162,X_161)),multiply(X_161,multiply(commutator(X_161,Y),multiply(X_162,commutator(Y,X_161)))))))]]) ).
cnf(refute_0_4152,plain,
( multiply(inverse(multiply(X_162,X_161)),multiply(multiply(X_161,commutator(X_161,Y)),multiply(X_162,commutator(Y,X_161)))) != multiply(inverse(multiply(X_162,X_161)),multiply(X_161,multiply(commutator(X_161,Y),multiply(X_162,commutator(Y,X_161)))))
| multiply(multiply(inverse(multiply(X_162,X_161)),multiply(X_161,commutator(X_161,Y))),multiply(X_162,commutator(Y,X_161))) = multiply(inverse(multiply(X_162,X_161)),multiply(X_161,multiply(commutator(X_161,Y),multiply(X_162,commutator(Y,X_161))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(X_162,X_161)),multiply(X_161,commutator(X_161,Y))),multiply(X_162,commutator(Y,X_161))),multiply(inverse(multiply(X_162,X_161)),multiply(multiply(X_161,commutator(X_161,Y)),multiply(X_162,commutator(Y,X_161))))) )],[refute_0_4150,refute_0_4151]) ).
cnf(refute_0_4153,plain,
multiply(multiply(inverse(multiply(X_162,X_161)),multiply(X_161,commutator(X_161,Y))),multiply(X_162,commutator(Y,X_161))) = multiply(inverse(multiply(X_162,X_161)),multiply(X_161,multiply(commutator(X_161,Y),multiply(X_162,commutator(Y,X_161))))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_162,X_161)),multiply(multiply(X_161,commutator(X_161,Y)),multiply(X_162,commutator(Y,X_161)))),multiply(inverse(multiply(X_162,X_161)),multiply(X_161,multiply(commutator(X_161,Y),multiply(X_162,commutator(Y,X_161)))))) )],[refute_0_4149,refute_0_4152]) ).
cnf(refute_0_4154,plain,
inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))) = multiply(inverse(multiply(X_162,X_161)),multiply(X_161,commutator(X_161,Y))),
inference(subst,[],[refute_0_294:[bind(Z,$fot(multiply(X_162,X_161))),bind(X_61,$fot(multiply(X_161,commutator(X_161,Y))))]]) ).
cnf(refute_0_4155,plain,
multiply(inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))),multiply(X_162,commutator(Y,X_161))) = multiply(inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))),multiply(X_162,commutator(Y,X_161))),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))),multiply(X_162,commutator(Y,X_161))))]]) ).
cnf(refute_0_4156,plain,
( multiply(inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))),multiply(X_162,commutator(Y,X_161))) != multiply(inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))),multiply(X_162,commutator(Y,X_161)))
| inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))) != multiply(inverse(multiply(X_162,X_161)),multiply(X_161,commutator(X_161,Y)))
| multiply(inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))),multiply(X_162,commutator(Y,X_161))) = multiply(multiply(inverse(multiply(X_162,X_161)),multiply(X_161,commutator(X_161,Y))),multiply(X_162,commutator(Y,X_161))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))),multiply(X_162,commutator(Y,X_161))),multiply(inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))),multiply(X_162,commutator(Y,X_161)))) ),[1,0],$fot(multiply(inverse(multiply(X_162,X_161)),multiply(X_161,commutator(X_161,Y))))]]) ).
cnf(refute_0_4157,plain,
( inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))) != multiply(inverse(multiply(X_162,X_161)),multiply(X_161,commutator(X_161,Y)))
| multiply(inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))),multiply(X_162,commutator(Y,X_161))) = multiply(multiply(inverse(multiply(X_162,X_161)),multiply(X_161,commutator(X_161,Y))),multiply(X_162,commutator(Y,X_161))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))),multiply(X_162,commutator(Y,X_161))),multiply(inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))),multiply(X_162,commutator(Y,X_161)))) )],[refute_0_4155,refute_0_4156]) ).
cnf(refute_0_4158,plain,
multiply(inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))),multiply(X_162,commutator(Y,X_161))) = multiply(multiply(inverse(multiply(X_162,X_161)),multiply(X_161,commutator(X_161,Y))),multiply(X_162,commutator(Y,X_161))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))),multiply(inverse(multiply(X_162,X_161)),multiply(X_161,commutator(X_161,Y)))) )],[refute_0_4154,refute_0_4157]) ).
cnf(refute_0_4159,plain,
( multiply(multiply(inverse(multiply(X_162,X_161)),multiply(X_161,commutator(X_161,Y))),multiply(X_162,commutator(Y,X_161))) != multiply(inverse(multiply(X_162,X_161)),multiply(X_161,multiply(commutator(X_161,Y),multiply(X_162,commutator(Y,X_161)))))
| multiply(inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))),multiply(X_162,commutator(Y,X_161))) != multiply(multiply(inverse(multiply(X_162,X_161)),multiply(X_161,commutator(X_161,Y))),multiply(X_162,commutator(Y,X_161)))
| multiply(inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))),multiply(X_162,commutator(Y,X_161))) = multiply(inverse(multiply(X_162,X_161)),multiply(X_161,multiply(commutator(X_161,Y),multiply(X_162,commutator(Y,X_161))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))),multiply(X_162,commutator(Y,X_161))))),bind(Y0,$fot(multiply(multiply(inverse(multiply(X_162,X_161)),multiply(X_161,commutator(X_161,Y))),multiply(X_162,commutator(Y,X_161))))),bind(Z0,$fot(multiply(inverse(multiply(X_162,X_161)),multiply(X_161,multiply(commutator(X_161,Y),multiply(X_162,commutator(Y,X_161)))))))]]) ).
cnf(refute_0_4160,plain,
( multiply(multiply(inverse(multiply(X_162,X_161)),multiply(X_161,commutator(X_161,Y))),multiply(X_162,commutator(Y,X_161))) != multiply(inverse(multiply(X_162,X_161)),multiply(X_161,multiply(commutator(X_161,Y),multiply(X_162,commutator(Y,X_161)))))
| multiply(inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))),multiply(X_162,commutator(Y,X_161))) = multiply(inverse(multiply(X_162,X_161)),multiply(X_161,multiply(commutator(X_161,Y),multiply(X_162,commutator(Y,X_161))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))),multiply(X_162,commutator(Y,X_161))),multiply(multiply(inverse(multiply(X_162,X_161)),multiply(X_161,commutator(X_161,Y))),multiply(X_162,commutator(Y,X_161)))) )],[refute_0_4158,refute_0_4159]) ).
cnf(refute_0_4161,plain,
multiply(inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))),multiply(X_162,commutator(Y,X_161))) = multiply(inverse(multiply(X_162,X_161)),multiply(X_161,multiply(commutator(X_161,Y),multiply(X_162,commutator(Y,X_161))))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(X_162,X_161)),multiply(X_161,commutator(X_161,Y))),multiply(X_162,commutator(Y,X_161))),multiply(inverse(multiply(X_162,X_161)),multiply(X_161,multiply(commutator(X_161,Y),multiply(X_162,commutator(Y,X_161)))))) )],[refute_0_4153,refute_0_4160]) ).
cnf(refute_0_4162,plain,
( multiply(inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))),multiply(X_162,commutator(Y,X_161))) != multiply(inverse(multiply(X_162,X_161)),multiply(X_161,multiply(commutator(X_161,Y),multiply(X_162,commutator(Y,X_161)))))
| commutator(multiply(X_161,commutator(X_161,Y)),multiply(X_162,X_161)) != multiply(inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))),multiply(X_162,commutator(Y,X_161)))
| commutator(multiply(X_161,commutator(X_161,Y)),multiply(X_162,X_161)) = multiply(inverse(multiply(X_162,X_161)),multiply(X_161,multiply(commutator(X_161,Y),multiply(X_162,commutator(Y,X_161))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_161,commutator(X_161,Y)),multiply(X_162,X_161)),multiply(inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))),multiply(X_162,commutator(Y,X_161)))) ),[1],$fot(multiply(inverse(multiply(X_162,X_161)),multiply(X_161,multiply(commutator(X_161,Y),multiply(X_162,commutator(Y,X_161))))))]]) ).
cnf(refute_0_4163,plain,
( commutator(multiply(X_161,commutator(X_161,Y)),multiply(X_162,X_161)) != multiply(inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))),multiply(X_162,commutator(Y,X_161)))
| commutator(multiply(X_161,commutator(X_161,Y)),multiply(X_162,X_161)) = multiply(inverse(multiply(X_162,X_161)),multiply(X_161,multiply(commutator(X_161,Y),multiply(X_162,commutator(Y,X_161))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))),multiply(X_162,commutator(Y,X_161))),multiply(inverse(multiply(X_162,X_161)),multiply(X_161,multiply(commutator(X_161,Y),multiply(X_162,commutator(Y,X_161)))))) )],[refute_0_4161,refute_0_4162]) ).
cnf(refute_0_4164,plain,
( commutator(multiply(X_162,X_161),inverse(multiply(X_161,commutator(X_161,Y)))) != multiply(inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))),multiply(X_162,commutator(Y,X_161)))
| commutator(multiply(X_161,commutator(X_161,Y)),multiply(X_162,X_161)) = multiply(inverse(multiply(X_162,X_161)),multiply(X_161,multiply(commutator(X_161,Y),multiply(X_162,commutator(Y,X_161))))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_161,commutator(X_161,Y)),multiply(X_162,X_161)),multiply(inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))),multiply(X_162,commutator(Y,X_161)))) )],[refute_0_4144,refute_0_4163]) ).
cnf(refute_0_4165,plain,
commutator(multiply(X_161,commutator(X_161,Y)),multiply(X_162,X_161)) = multiply(inverse(multiply(X_162,X_161)),multiply(X_161,multiply(commutator(X_161,Y),multiply(X_162,commutator(Y,X_161))))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_162,X_161),inverse(multiply(X_161,commutator(X_161,Y)))),multiply(inverse(multiply(inverse(multiply(X_161,commutator(X_161,Y))),multiply(X_162,X_161))),multiply(X_162,commutator(Y,X_161)))) )],[refute_0_4141,refute_0_4164]) ).
cnf(refute_0_4166,plain,
multiply(commutator(X,Y),commutator(X_282,commutator(X_283,Y))) = multiply(inverse(multiply(Y,X)),multiply(X,multiply(Y,commutator(X_282,commutator(X_283,Y))))),
inference(subst,[],[refute_0_246:[bind(X_11,$fot(commutator(X_282,commutator(X_283,Y))))]]) ).
cnf(refute_0_4167,plain,
( multiply(Y,commutator(X_282,commutator(X_283,Y))) != multiply(commutator(X_282,X_283),multiply(Y,commutator(X_283,X_282)))
| multiply(commutator(X,Y),commutator(X_282,commutator(X_283,Y))) != multiply(inverse(multiply(Y,X)),multiply(X,multiply(Y,commutator(X_282,commutator(X_283,Y)))))
| multiply(commutator(X,Y),commutator(X_282,commutator(X_283,Y))) = multiply(inverse(multiply(Y,X)),multiply(X,multiply(commutator(X_282,X_283),multiply(Y,commutator(X_283,X_282))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X,Y),commutator(X_282,commutator(X_283,Y))),multiply(inverse(multiply(Y,X)),multiply(X,multiply(Y,commutator(X_282,commutator(X_283,Y)))))) ),[1,1,1],$fot(multiply(commutator(X_282,X_283),multiply(Y,commutator(X_283,X_282))))]]) ).
cnf(refute_0_4168,plain,
( multiply(commutator(X,Y),commutator(X_282,commutator(X_283,Y))) != multiply(inverse(multiply(Y,X)),multiply(X,multiply(Y,commutator(X_282,commutator(X_283,Y)))))
| multiply(commutator(X,Y),commutator(X_282,commutator(X_283,Y))) = multiply(inverse(multiply(Y,X)),multiply(X,multiply(commutator(X_282,X_283),multiply(Y,commutator(X_283,X_282))))) ),
inference(resolve,[$cnf( $equal(multiply(Y,commutator(X_282,commutator(X_283,Y))),multiply(commutator(X_282,X_283),multiply(Y,commutator(X_283,X_282)))) )],[refute_0_2802,refute_0_4167]) ).
cnf(refute_0_4169,plain,
multiply(commutator(X,Y),commutator(X_282,commutator(X_283,Y))) = multiply(inverse(multiply(Y,X)),multiply(X,multiply(commutator(X_282,X_283),multiply(Y,commutator(X_283,X_282))))),
inference(resolve,[$cnf( $equal(multiply(commutator(X,Y),commutator(X_282,commutator(X_283,Y))),multiply(inverse(multiply(Y,X)),multiply(X,multiply(Y,commutator(X_282,commutator(X_283,Y)))))) )],[refute_0_4166,refute_0_4168]) ).
cnf(refute_0_4170,plain,
( multiply(commutator(X,Y),commutator(X_282,commutator(X_283,Y))) != multiply(inverse(multiply(Y,X)),multiply(X,multiply(commutator(X_282,X_283),multiply(Y,commutator(X_283,X_282)))))
| multiply(inverse(multiply(Y,X)),multiply(X,multiply(commutator(X_282,X_283),multiply(Y,commutator(X_283,X_282))))) = multiply(commutator(X,Y),commutator(X_282,commutator(X_283,Y))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(commutator(X,Y),commutator(X_282,commutator(X_283,Y))))),bind(Y0,$fot(multiply(inverse(multiply(Y,X)),multiply(X,multiply(commutator(X_282,X_283),multiply(Y,commutator(X_283,X_282)))))))]]) ).
cnf(refute_0_4171,plain,
multiply(inverse(multiply(Y,X)),multiply(X,multiply(commutator(X_282,X_283),multiply(Y,commutator(X_283,X_282))))) = multiply(commutator(X,Y),commutator(X_282,commutator(X_283,Y))),
inference(resolve,[$cnf( $equal(multiply(commutator(X,Y),commutator(X_282,commutator(X_283,Y))),multiply(inverse(multiply(Y,X)),multiply(X,multiply(commutator(X_282,X_283),multiply(Y,commutator(X_283,X_282)))))) )],[refute_0_4169,refute_0_4170]) ).
cnf(refute_0_4172,plain,
multiply(inverse(multiply(X_162,X_161)),multiply(X_161,multiply(commutator(X_161,Y),multiply(X_162,commutator(Y,X_161))))) = multiply(commutator(X_161,X_162),commutator(X_161,commutator(Y,X_162))),
inference(subst,[],[refute_0_4171:[bind(X,$fot(X_161)),bind(Y,$fot(X_162)),bind(X_282,$fot(X_161)),bind(X_283,$fot(Y))]]) ).
cnf(refute_0_4173,plain,
( multiply(inverse(multiply(X_162,X_161)),multiply(X_161,multiply(commutator(X_161,Y),multiply(X_162,commutator(Y,X_161))))) != multiply(commutator(X_161,X_162),commutator(X_161,commutator(Y,X_162)))
| commutator(multiply(X_161,commutator(X_161,Y)),multiply(X_162,X_161)) != multiply(inverse(multiply(X_162,X_161)),multiply(X_161,multiply(commutator(X_161,Y),multiply(X_162,commutator(Y,X_161)))))
| commutator(multiply(X_161,commutator(X_161,Y)),multiply(X_162,X_161)) = multiply(commutator(X_161,X_162),commutator(X_161,commutator(Y,X_162))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_161,commutator(X_161,Y)),multiply(X_162,X_161)),multiply(inverse(multiply(X_162,X_161)),multiply(X_161,multiply(commutator(X_161,Y),multiply(X_162,commutator(Y,X_161)))))) ),[1],$fot(multiply(commutator(X_161,X_162),commutator(X_161,commutator(Y,X_162))))]]) ).
cnf(refute_0_4174,plain,
( commutator(multiply(X_161,commutator(X_161,Y)),multiply(X_162,X_161)) != multiply(inverse(multiply(X_162,X_161)),multiply(X_161,multiply(commutator(X_161,Y),multiply(X_162,commutator(Y,X_161)))))
| commutator(multiply(X_161,commutator(X_161,Y)),multiply(X_162,X_161)) = multiply(commutator(X_161,X_162),commutator(X_161,commutator(Y,X_162))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_162,X_161)),multiply(X_161,multiply(commutator(X_161,Y),multiply(X_162,commutator(Y,X_161))))),multiply(commutator(X_161,X_162),commutator(X_161,commutator(Y,X_162)))) )],[refute_0_4172,refute_0_4173]) ).
cnf(refute_0_4175,plain,
commutator(multiply(X_161,commutator(X_161,Y)),multiply(X_162,X_161)) = multiply(commutator(X_161,X_162),commutator(X_161,commutator(Y,X_162))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_161,commutator(X_161,Y)),multiply(X_162,X_161)),multiply(inverse(multiply(X_162,X_161)),multiply(X_161,multiply(commutator(X_161,Y),multiply(X_162,commutator(Y,X_161)))))) )],[refute_0_4165,refute_0_4174]) ).
cnf(refute_0_4176,plain,
commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_182,X_183)))) = commutator(multiply(X_183,commutator(X_183,X_182)),X_618),
inference(subst,[],[refute_0_3842:[bind(X_10,$fot(multiply(X_183,commutator(X_183,X_182)))),bind(X_162,$fot(X_618)),bind(X_436,$fot(multiply(X_182,X_183)))]]) ).
cnf(refute_0_4177,plain,
commutator(multiply(X_183,commutator(X_183,X_182)),multiply(multiply(X_183,X_182),commutator(multiply(X_183,X_182),multiply(X_183,commutator(X_183,X_182))))) = commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_183,X_182)),
inference(subst,[],[refute_0_1764:[bind(X_109,$fot(multiply(X_183,X_182))),bind(X_121,$fot(multiply(X_183,commutator(X_183,X_182))))]]) ).
cnf(refute_0_4178,plain,
commutator(inverse(multiply(X_134,X_11)),multiply(inverse(multiply(X_134,X_11)),X_11)) = commutator(inverse(multiply(X_134,X_11)),X_11),
inference(subst,[],[refute_0_455:[bind(X_10,$fot(inverse(multiply(X_134,X_11))))]]) ).
cnf(refute_0_4179,plain,
inverse(multiply(X_134,commutator(X_134,X_11))) = multiply(inverse(multiply(X_134,X_11)),X_11),
inference(subst,[],[refute_0_814:[bind(X_127,$fot(X_11)),bind(X_128,$fot(X_134))]]) ).
cnf(refute_0_4180,plain,
( inverse(multiply(X_134,commutator(X_134,X_11))) != multiply(inverse(multiply(X_134,X_11)),X_11)
| multiply(inverse(multiply(X_134,X_11)),X_11) = inverse(multiply(X_134,commutator(X_134,X_11))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(inverse(multiply(X_134,commutator(X_134,X_11))))),bind(Y0,$fot(multiply(inverse(multiply(X_134,X_11)),X_11)))]]) ).
cnf(refute_0_4181,plain,
multiply(inverse(multiply(X_134,X_11)),X_11) = inverse(multiply(X_134,commutator(X_134,X_11))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_134,commutator(X_134,X_11))),multiply(inverse(multiply(X_134,X_11)),X_11)) )],[refute_0_4179,refute_0_4180]) ).
cnf(refute_0_4182,plain,
( multiply(inverse(multiply(X_134,X_11)),X_11) != inverse(multiply(X_134,commutator(X_134,X_11)))
| commutator(inverse(multiply(X_134,X_11)),multiply(inverse(multiply(X_134,X_11)),X_11)) != commutator(inverse(multiply(X_134,X_11)),X_11)
| commutator(inverse(multiply(X_134,X_11)),inverse(multiply(X_134,commutator(X_134,X_11)))) = commutator(inverse(multiply(X_134,X_11)),X_11) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(multiply(X_134,X_11)),multiply(inverse(multiply(X_134,X_11)),X_11)),commutator(inverse(multiply(X_134,X_11)),X_11)) ),[0,1],$fot(inverse(multiply(X_134,commutator(X_134,X_11))))]]) ).
cnf(refute_0_4183,plain,
( commutator(inverse(multiply(X_134,X_11)),multiply(inverse(multiply(X_134,X_11)),X_11)) != commutator(inverse(multiply(X_134,X_11)),X_11)
| commutator(inverse(multiply(X_134,X_11)),inverse(multiply(X_134,commutator(X_134,X_11)))) = commutator(inverse(multiply(X_134,X_11)),X_11) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_134,X_11)),X_11),inverse(multiply(X_134,commutator(X_134,X_11)))) )],[refute_0_4181,refute_0_4182]) ).
cnf(refute_0_4184,plain,
commutator(inverse(multiply(X_134,X_11)),inverse(multiply(X_134,commutator(X_134,X_11)))) = commutator(inverse(multiply(X_134,X_11)),X_11),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_134,X_11)),multiply(inverse(multiply(X_134,X_11)),X_11)),commutator(inverse(multiply(X_134,X_11)),X_11)) )],[refute_0_4178,refute_0_4183]) ).
cnf(refute_0_4185,plain,
commutator(multiply(X_134,commutator(X_134,X_11)),inverse(multiply(X_134,X_11))) = commutator(multiply(X_134,X_11),multiply(X_134,commutator(X_134,X_11))),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(multiply(X_134,X_11))),bind(X_110,$fot(multiply(X_134,commutator(X_134,X_11))))]]) ).
cnf(refute_0_4186,plain,
commutator(inverse(multiply(X_134,X_11)),inverse(multiply(X_134,commutator(X_134,X_11)))) = commutator(multiply(X_134,commutator(X_134,X_11)),inverse(multiply(X_134,X_11))),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(multiply(X_134,commutator(X_134,X_11)))),bind(X_110,$fot(inverse(multiply(X_134,X_11))))]]) ).
cnf(refute_0_4187,plain,
( commutator(multiply(X_134,commutator(X_134,X_11)),inverse(multiply(X_134,X_11))) != commutator(multiply(X_134,X_11),multiply(X_134,commutator(X_134,X_11)))
| commutator(inverse(multiply(X_134,X_11)),inverse(multiply(X_134,commutator(X_134,X_11)))) != commutator(multiply(X_134,commutator(X_134,X_11)),inverse(multiply(X_134,X_11)))
| commutator(inverse(multiply(X_134,X_11)),inverse(multiply(X_134,commutator(X_134,X_11)))) = commutator(multiply(X_134,X_11),multiply(X_134,commutator(X_134,X_11))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(inverse(multiply(X_134,X_11)),inverse(multiply(X_134,commutator(X_134,X_11)))))),bind(Y0,$fot(commutator(multiply(X_134,commutator(X_134,X_11)),inverse(multiply(X_134,X_11))))),bind(Z0,$fot(commutator(multiply(X_134,X_11),multiply(X_134,commutator(X_134,X_11)))))]]) ).
cnf(refute_0_4188,plain,
( commutator(multiply(X_134,commutator(X_134,X_11)),inverse(multiply(X_134,X_11))) != commutator(multiply(X_134,X_11),multiply(X_134,commutator(X_134,X_11)))
| commutator(inverse(multiply(X_134,X_11)),inverse(multiply(X_134,commutator(X_134,X_11)))) = commutator(multiply(X_134,X_11),multiply(X_134,commutator(X_134,X_11))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_134,X_11)),inverse(multiply(X_134,commutator(X_134,X_11)))),commutator(multiply(X_134,commutator(X_134,X_11)),inverse(multiply(X_134,X_11)))) )],[refute_0_4186,refute_0_4187]) ).
cnf(refute_0_4189,plain,
commutator(inverse(multiply(X_134,X_11)),inverse(multiply(X_134,commutator(X_134,X_11)))) = commutator(multiply(X_134,X_11),multiply(X_134,commutator(X_134,X_11))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_134,commutator(X_134,X_11)),inverse(multiply(X_134,X_11))),commutator(multiply(X_134,X_11),multiply(X_134,commutator(X_134,X_11)))) )],[refute_0_4185,refute_0_4188]) ).
cnf(refute_0_4190,plain,
( commutator(inverse(multiply(X_134,X_11)),inverse(multiply(X_134,commutator(X_134,X_11)))) != commutator(multiply(X_134,X_11),multiply(X_134,commutator(X_134,X_11)))
| commutator(inverse(multiply(X_134,X_11)),inverse(multiply(X_134,commutator(X_134,X_11)))) != commutator(inverse(multiply(X_134,X_11)),X_11)
| commutator(multiply(X_134,X_11),multiply(X_134,commutator(X_134,X_11))) = commutator(inverse(multiply(X_134,X_11)),X_11) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(multiply(X_134,X_11)),inverse(multiply(X_134,commutator(X_134,X_11)))),commutator(inverse(multiply(X_134,X_11)),X_11)) ),[0],$fot(commutator(multiply(X_134,X_11),multiply(X_134,commutator(X_134,X_11))))]]) ).
cnf(refute_0_4191,plain,
( commutator(inverse(multiply(X_134,X_11)),inverse(multiply(X_134,commutator(X_134,X_11)))) != commutator(inverse(multiply(X_134,X_11)),X_11)
| commutator(multiply(X_134,X_11),multiply(X_134,commutator(X_134,X_11))) = commutator(inverse(multiply(X_134,X_11)),X_11) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_134,X_11)),inverse(multiply(X_134,commutator(X_134,X_11)))),commutator(multiply(X_134,X_11),multiply(X_134,commutator(X_134,X_11)))) )],[refute_0_4189,refute_0_4190]) ).
cnf(refute_0_4192,plain,
commutator(inverse(X_84),inverse(multiply(X_10,X_84))) = commutator(inverse(X_84),multiply(X_84,inverse(multiply(X_10,X_84)))),
inference(subst,[],[refute_0_436:[bind(Y,$fot(inverse(multiply(X_10,X_84)))),bind(X_29,$fot(X_84))]]) ).
cnf(refute_0_4193,plain,
multiply(X_84,inverse(multiply(X_10,X_84))) = inverse(X_10),
inference(subst,[],[refute_0_176:[bind(X_57,$fot(X_84))]]) ).
cnf(refute_0_4194,plain,
( multiply(X_84,inverse(multiply(X_10,X_84))) != inverse(X_10)
| commutator(inverse(X_84),inverse(multiply(X_10,X_84))) != commutator(inverse(X_84),multiply(X_84,inverse(multiply(X_10,X_84))))
| commutator(inverse(X_84),inverse(multiply(X_10,X_84))) = commutator(inverse(X_84),inverse(X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(X_84),inverse(multiply(X_10,X_84))),commutator(inverse(X_84),multiply(X_84,inverse(multiply(X_10,X_84))))) ),[1,1],$fot(inverse(X_10))]]) ).
cnf(refute_0_4195,plain,
( commutator(inverse(X_84),inverse(multiply(X_10,X_84))) != commutator(inverse(X_84),multiply(X_84,inverse(multiply(X_10,X_84))))
| commutator(inverse(X_84),inverse(multiply(X_10,X_84))) = commutator(inverse(X_84),inverse(X_10)) ),
inference(resolve,[$cnf( $equal(multiply(X_84,inverse(multiply(X_10,X_84))),inverse(X_10)) )],[refute_0_4193,refute_0_4194]) ).
cnf(refute_0_4196,plain,
commutator(inverse(X_84),inverse(multiply(X_10,X_84))) = commutator(inverse(X_84),inverse(X_10)),
inference(resolve,[$cnf( $equal(commutator(inverse(X_84),inverse(multiply(X_10,X_84))),commutator(inverse(X_84),multiply(X_84,inverse(multiply(X_10,X_84))))) )],[refute_0_4192,refute_0_4195]) ).
cnf(refute_0_4197,plain,
commutator(inverse(X_84),inverse(multiply(X_10,X_84))) = commutator(inverse(multiply(X_10,X_84)),X_84),
inference(subst,[],[refute_0_1309:[bind(X_29,$fot(multiply(X_10,X_84))),bind(X_89,$fot(X_84))]]) ).
cnf(refute_0_4198,plain,
( commutator(inverse(X_84),inverse(multiply(X_10,X_84))) != commutator(inverse(X_84),inverse(X_10))
| commutator(inverse(X_84),inverse(multiply(X_10,X_84))) != commutator(inverse(multiply(X_10,X_84)),X_84)
| commutator(inverse(multiply(X_10,X_84)),X_84) = commutator(inverse(X_84),inverse(X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(X_84),inverse(multiply(X_10,X_84))),commutator(inverse(X_84),inverse(X_10))) ),[0],$fot(commutator(inverse(multiply(X_10,X_84)),X_84))]]) ).
cnf(refute_0_4199,plain,
( commutator(inverse(X_84),inverse(multiply(X_10,X_84))) != commutator(inverse(X_84),inverse(X_10))
| commutator(inverse(multiply(X_10,X_84)),X_84) = commutator(inverse(X_84),inverse(X_10)) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_84),inverse(multiply(X_10,X_84))),commutator(inverse(multiply(X_10,X_84)),X_84)) )],[refute_0_4197,refute_0_4198]) ).
cnf(refute_0_4200,plain,
commutator(inverse(X_84),inverse(X_10)) = commutator(inverse(X_10),X_84),
inference(subst,[],[refute_0_1309:[bind(X_29,$fot(X_10)),bind(X_89,$fot(X_84))]]) ).
cnf(refute_0_4201,plain,
( commutator(inverse(X_84),inverse(X_10)) != commutator(inverse(X_10),X_84)
| commutator(inverse(multiply(X_10,X_84)),X_84) != commutator(inverse(X_84),inverse(X_10))
| commutator(inverse(multiply(X_10,X_84)),X_84) = commutator(inverse(X_10),X_84) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(multiply(X_10,X_84)),X_84),commutator(inverse(X_84),inverse(X_10))) ),[1],$fot(commutator(inverse(X_10),X_84))]]) ).
cnf(refute_0_4202,plain,
( commutator(inverse(multiply(X_10,X_84)),X_84) != commutator(inverse(X_84),inverse(X_10))
| commutator(inverse(multiply(X_10,X_84)),X_84) = commutator(inverse(X_10),X_84) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_84),inverse(X_10)),commutator(inverse(X_10),X_84)) )],[refute_0_4200,refute_0_4201]) ).
cnf(refute_0_4203,plain,
( commutator(inverse(X_84),inverse(multiply(X_10,X_84))) != commutator(inverse(X_84),inverse(X_10))
| commutator(inverse(multiply(X_10,X_84)),X_84) = commutator(inverse(X_10),X_84) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_10,X_84)),X_84),commutator(inverse(X_84),inverse(X_10))) )],[refute_0_4199,refute_0_4202]) ).
cnf(refute_0_4204,plain,
commutator(inverse(multiply(X_10,X_84)),X_84) = commutator(inverse(X_10),X_84),
inference(resolve,[$cnf( $equal(commutator(inverse(X_84),inverse(multiply(X_10,X_84))),commutator(inverse(X_84),inverse(X_10))) )],[refute_0_4196,refute_0_4203]) ).
cnf(refute_0_4205,plain,
commutator(inverse(multiply(X_10,X_84)),X_84) = commutator(X_84,multiply(X_10,X_84)),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(multiply(X_10,X_84))),bind(X_110,$fot(X_84))]]) ).
cnf(refute_0_4206,plain,
( commutator(inverse(multiply(X_10,X_84)),X_84) != commutator(X_84,multiply(X_10,X_84))
| commutator(inverse(multiply(X_10,X_84)),X_84) != commutator(inverse(X_10),X_84)
| commutator(X_84,multiply(X_10,X_84)) = commutator(inverse(X_10),X_84) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(multiply(X_10,X_84)),X_84),commutator(inverse(X_10),X_84)) ),[0],$fot(commutator(X_84,multiply(X_10,X_84)))]]) ).
cnf(refute_0_4207,plain,
( commutator(inverse(multiply(X_10,X_84)),X_84) != commutator(inverse(X_10),X_84)
| commutator(X_84,multiply(X_10,X_84)) = commutator(inverse(X_10),X_84) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_10,X_84)),X_84),commutator(X_84,multiply(X_10,X_84))) )],[refute_0_4205,refute_0_4206]) ).
cnf(refute_0_4208,plain,
commutator(inverse(X_10),X_84) = commutator(X_84,X_10),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(X_10)),bind(X_110,$fot(X_84))]]) ).
cnf(refute_0_4209,plain,
( commutator(X_84,multiply(X_10,X_84)) != commutator(inverse(X_10),X_84)
| commutator(inverse(X_10),X_84) != commutator(X_84,X_10)
| commutator(X_84,multiply(X_10,X_84)) = commutator(X_84,X_10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(X_84,multiply(X_10,X_84)),commutator(X_84,X_10)) ),[0],$fot(commutator(inverse(X_10),X_84))]]) ).
cnf(refute_0_4210,plain,
( commutator(X_84,multiply(X_10,X_84)) != commutator(inverse(X_10),X_84)
| commutator(X_84,multiply(X_10,X_84)) = commutator(X_84,X_10) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_10),X_84),commutator(X_84,X_10)) )],[refute_0_4208,refute_0_4209]) ).
cnf(refute_0_4211,plain,
( commutator(inverse(multiply(X_10,X_84)),X_84) != commutator(inverse(X_10),X_84)
| commutator(X_84,multiply(X_10,X_84)) = commutator(X_84,X_10) ),
inference(resolve,[$cnf( $equal(commutator(X_84,multiply(X_10,X_84)),commutator(inverse(X_10),X_84)) )],[refute_0_4207,refute_0_4210]) ).
cnf(refute_0_4212,plain,
commutator(X_84,multiply(X_10,X_84)) = commutator(X_84,X_10),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_10,X_84)),X_84),commutator(inverse(X_10),X_84)) )],[refute_0_4204,refute_0_4211]) ).
cnf(refute_0_4213,plain,
commutator(X_11,multiply(X_134,X_11)) = commutator(X_11,X_134),
inference(subst,[],[refute_0_4212:[bind(X_10,$fot(X_134)),bind(X_84,$fot(X_11))]]) ).
cnf(refute_0_4214,plain,
commutator(inverse(multiply(X_134,X_11)),X_11) = commutator(X_11,multiply(X_134,X_11)),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(multiply(X_134,X_11))),bind(X_110,$fot(X_11))]]) ).
cnf(refute_0_4215,plain,
( commutator(X_11,multiply(X_134,X_11)) != commutator(X_11,X_134)
| commutator(inverse(multiply(X_134,X_11)),X_11) != commutator(X_11,multiply(X_134,X_11))
| commutator(inverse(multiply(X_134,X_11)),X_11) = commutator(X_11,X_134) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(inverse(multiply(X_134,X_11)),X_11))),bind(Y0,$fot(commutator(X_11,multiply(X_134,X_11)))),bind(Z0,$fot(commutator(X_11,X_134)))]]) ).
cnf(refute_0_4216,plain,
( commutator(X_11,multiply(X_134,X_11)) != commutator(X_11,X_134)
| commutator(inverse(multiply(X_134,X_11)),X_11) = commutator(X_11,X_134) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_134,X_11)),X_11),commutator(X_11,multiply(X_134,X_11))) )],[refute_0_4214,refute_0_4215]) ).
cnf(refute_0_4217,plain,
commutator(inverse(multiply(X_134,X_11)),X_11) = commutator(X_11,X_134),
inference(resolve,[$cnf( $equal(commutator(X_11,multiply(X_134,X_11)),commutator(X_11,X_134)) )],[refute_0_4213,refute_0_4216]) ).
cnf(refute_0_4218,plain,
( commutator(multiply(X_134,X_11),multiply(X_134,commutator(X_134,X_11))) != commutator(inverse(multiply(X_134,X_11)),X_11)
| commutator(inverse(multiply(X_134,X_11)),X_11) != commutator(X_11,X_134)
| commutator(multiply(X_134,X_11),multiply(X_134,commutator(X_134,X_11))) = commutator(X_11,X_134) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(multiply(X_134,X_11),multiply(X_134,commutator(X_134,X_11))),commutator(X_11,X_134)) ),[0],$fot(commutator(inverse(multiply(X_134,X_11)),X_11))]]) ).
cnf(refute_0_4219,plain,
( commutator(multiply(X_134,X_11),multiply(X_134,commutator(X_134,X_11))) != commutator(inverse(multiply(X_134,X_11)),X_11)
| commutator(multiply(X_134,X_11),multiply(X_134,commutator(X_134,X_11))) = commutator(X_11,X_134) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_134,X_11)),X_11),commutator(X_11,X_134)) )],[refute_0_4217,refute_0_4218]) ).
cnf(refute_0_4220,plain,
( commutator(inverse(multiply(X_134,X_11)),inverse(multiply(X_134,commutator(X_134,X_11)))) != commutator(inverse(multiply(X_134,X_11)),X_11)
| commutator(multiply(X_134,X_11),multiply(X_134,commutator(X_134,X_11))) = commutator(X_11,X_134) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_134,X_11),multiply(X_134,commutator(X_134,X_11))),commutator(inverse(multiply(X_134,X_11)),X_11)) )],[refute_0_4191,refute_0_4219]) ).
cnf(refute_0_4221,plain,
commutator(multiply(X_134,X_11),multiply(X_134,commutator(X_134,X_11))) = commutator(X_11,X_134),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_134,X_11)),inverse(multiply(X_134,commutator(X_134,X_11)))),commutator(inverse(multiply(X_134,X_11)),X_11)) )],[refute_0_4184,refute_0_4220]) ).
cnf(refute_0_4222,plain,
commutator(multiply(X_183,X_182),multiply(X_183,commutator(X_183,X_182))) = commutator(X_182,X_183),
inference(subst,[],[refute_0_4221:[bind(X_11,$fot(X_182)),bind(X_134,$fot(X_183))]]) ).
cnf(refute_0_4223,plain,
( commutator(multiply(X_183,X_182),multiply(X_183,commutator(X_183,X_182))) != commutator(X_182,X_183)
| commutator(multiply(X_183,commutator(X_183,X_182)),multiply(multiply(X_183,X_182),commutator(multiply(X_183,X_182),multiply(X_183,commutator(X_183,X_182))))) != commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_183,X_182))
| commutator(multiply(X_183,commutator(X_183,X_182)),multiply(multiply(X_183,X_182),commutator(X_182,X_183))) = commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_183,X_182)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_183,commutator(X_183,X_182)),multiply(multiply(X_183,X_182),commutator(multiply(X_183,X_182),multiply(X_183,commutator(X_183,X_182))))),commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_183,X_182))) ),[0,1,1],$fot(commutator(X_182,X_183))]]) ).
cnf(refute_0_4224,plain,
( commutator(multiply(X_183,commutator(X_183,X_182)),multiply(multiply(X_183,X_182),commutator(multiply(X_183,X_182),multiply(X_183,commutator(X_183,X_182))))) != commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_183,X_182))
| commutator(multiply(X_183,commutator(X_183,X_182)),multiply(multiply(X_183,X_182),commutator(X_182,X_183))) = commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_183,X_182)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_183,X_182),multiply(X_183,commutator(X_183,X_182))),commutator(X_182,X_183)) )],[refute_0_4222,refute_0_4223]) ).
cnf(refute_0_4225,plain,
commutator(multiply(X_183,commutator(X_183,X_182)),multiply(multiply(X_183,X_182),commutator(X_182,X_183))) = commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_183,X_182)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_183,commutator(X_183,X_182)),multiply(multiply(X_183,X_182),commutator(multiply(X_183,X_182),multiply(X_183,commutator(X_183,X_182))))),commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_183,X_182))) )],[refute_0_4177,refute_0_4224]) ).
cnf(refute_0_4226,plain,
multiply(X_183,multiply(X_182,commutator(X_182,X_183))) = multiply(X_182,X_183),
inference(subst,[],[refute_0_2600:[bind(X,$fot(X_182)),bind(Y,$fot(X_183))]]) ).
cnf(refute_0_4227,plain,
multiply(multiply(X_183,X_182),commutator(X_182,X_183)) = multiply(X_183,multiply(X_182,commutator(X_182,X_183))),
inference(subst,[],[associativity:[bind(X,$fot(X_183)),bind(Y,$fot(X_182)),bind(Z,$fot(commutator(X_182,X_183)))]]) ).
cnf(refute_0_4228,plain,
( multiply(X_183,multiply(X_182,commutator(X_182,X_183))) != multiply(X_182,X_183)
| multiply(multiply(X_183,X_182),commutator(X_182,X_183)) != multiply(X_183,multiply(X_182,commutator(X_182,X_183)))
| multiply(multiply(X_183,X_182),commutator(X_182,X_183)) = multiply(X_182,X_183) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_183,X_182),commutator(X_182,X_183)))),bind(Y0,$fot(multiply(X_183,multiply(X_182,commutator(X_182,X_183))))),bind(Z0,$fot(multiply(X_182,X_183)))]]) ).
cnf(refute_0_4229,plain,
( multiply(X_183,multiply(X_182,commutator(X_182,X_183))) != multiply(X_182,X_183)
| multiply(multiply(X_183,X_182),commutator(X_182,X_183)) = multiply(X_182,X_183) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_183,X_182),commutator(X_182,X_183)),multiply(X_183,multiply(X_182,commutator(X_182,X_183)))) )],[refute_0_4227,refute_0_4228]) ).
cnf(refute_0_4230,plain,
multiply(multiply(X_183,X_182),commutator(X_182,X_183)) = multiply(X_182,X_183),
inference(resolve,[$cnf( $equal(multiply(X_183,multiply(X_182,commutator(X_182,X_183))),multiply(X_182,X_183)) )],[refute_0_4226,refute_0_4229]) ).
cnf(refute_0_4231,plain,
commutator(multiply(X_183,commutator(X_183,X_182)),multiply(multiply(X_183,X_182),commutator(X_182,X_183))) = commutator(multiply(X_183,commutator(X_183,X_182)),multiply(multiply(X_183,X_182),commutator(X_182,X_183))),
introduced(tautology,[refl,[$fot(commutator(multiply(X_183,commutator(X_183,X_182)),multiply(multiply(X_183,X_182),commutator(X_182,X_183))))]]) ).
cnf(refute_0_4232,plain,
( multiply(multiply(X_183,X_182),commutator(X_182,X_183)) != multiply(X_182,X_183)
| commutator(multiply(X_183,commutator(X_183,X_182)),multiply(multiply(X_183,X_182),commutator(X_182,X_183))) != commutator(multiply(X_183,commutator(X_183,X_182)),multiply(multiply(X_183,X_182),commutator(X_182,X_183)))
| commutator(multiply(X_183,commutator(X_183,X_182)),multiply(multiply(X_183,X_182),commutator(X_182,X_183))) = commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_182,X_183)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_183,commutator(X_183,X_182)),multiply(multiply(X_183,X_182),commutator(X_182,X_183))),commutator(multiply(X_183,commutator(X_183,X_182)),multiply(multiply(X_183,X_182),commutator(X_182,X_183)))) ),[1,1],$fot(multiply(X_182,X_183))]]) ).
cnf(refute_0_4233,plain,
( multiply(multiply(X_183,X_182),commutator(X_182,X_183)) != multiply(X_182,X_183)
| commutator(multiply(X_183,commutator(X_183,X_182)),multiply(multiply(X_183,X_182),commutator(X_182,X_183))) = commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_182,X_183)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_183,commutator(X_183,X_182)),multiply(multiply(X_183,X_182),commutator(X_182,X_183))),commutator(multiply(X_183,commutator(X_183,X_182)),multiply(multiply(X_183,X_182),commutator(X_182,X_183)))) )],[refute_0_4231,refute_0_4232]) ).
cnf(refute_0_4234,plain,
commutator(multiply(X_183,commutator(X_183,X_182)),multiply(multiply(X_183,X_182),commutator(X_182,X_183))) = commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_182,X_183)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_183,X_182),commutator(X_182,X_183)),multiply(X_182,X_183)) )],[refute_0_4230,refute_0_4233]) ).
cnf(refute_0_4235,plain,
( commutator(multiply(X_183,commutator(X_183,X_182)),multiply(multiply(X_183,X_182),commutator(X_182,X_183))) != commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_182,X_183))
| commutator(multiply(X_183,commutator(X_183,X_182)),multiply(multiply(X_183,X_182),commutator(X_182,X_183))) != commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_183,X_182))
| commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_182,X_183)) = commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_183,X_182)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_183,commutator(X_183,X_182)),multiply(multiply(X_183,X_182),commutator(X_182,X_183))),commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_183,X_182))) ),[0],$fot(commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_182,X_183)))]]) ).
cnf(refute_0_4236,plain,
( commutator(multiply(X_183,commutator(X_183,X_182)),multiply(multiply(X_183,X_182),commutator(X_182,X_183))) != commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_183,X_182))
| commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_182,X_183)) = commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_183,X_182)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_183,commutator(X_183,X_182)),multiply(multiply(X_183,X_182),commutator(X_182,X_183))),commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_182,X_183))) )],[refute_0_4234,refute_0_4235]) ).
cnf(refute_0_4237,plain,
commutator(X_183,multiply(X_183,X_182)) = commutator(X_183,X_182),
inference(subst,[],[refute_0_455:[bind(X_10,$fot(X_183)),bind(X_11,$fot(X_182))]]) ).
cnf(refute_0_4238,plain,
commutator(multiply(X_183,multiply(X_183,X_182)),multiply(X_183,X_182)) = commutator(X_183,multiply(X_183,X_182)),
inference(subst,[],[refute_0_1583:[bind(X_10,$fot(multiply(X_183,X_182))),bind(X_86,$fot(X_183))]]) ).
cnf(refute_0_4239,plain,
( commutator(X_183,multiply(X_183,X_182)) != commutator(X_183,X_182)
| commutator(multiply(X_183,multiply(X_183,X_182)),multiply(X_183,X_182)) != commutator(X_183,multiply(X_183,X_182))
| commutator(multiply(X_183,multiply(X_183,X_182)),multiply(X_183,X_182)) = commutator(X_183,X_182) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_183,multiply(X_183,X_182)),multiply(X_183,X_182)))),bind(Y0,$fot(commutator(X_183,multiply(X_183,X_182)))),bind(Z0,$fot(commutator(X_183,X_182)))]]) ).
cnf(refute_0_4240,plain,
( commutator(X_183,multiply(X_183,X_182)) != commutator(X_183,X_182)
| commutator(multiply(X_183,multiply(X_183,X_182)),multiply(X_183,X_182)) = commutator(X_183,X_182) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_183,multiply(X_183,X_182)),multiply(X_183,X_182)),commutator(X_183,multiply(X_183,X_182))) )],[refute_0_4238,refute_0_4239]) ).
cnf(refute_0_4241,plain,
commutator(multiply(X_183,multiply(X_183,X_182)),multiply(X_183,X_182)) = commutator(X_183,X_182),
inference(resolve,[$cnf( $equal(commutator(X_183,multiply(X_183,X_182)),commutator(X_183,X_182)) )],[refute_0_4237,refute_0_4240]) ).
cnf(refute_0_4242,plain,
commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),X_172)) = commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),inverse(X_171))),
inference(subst,[],[refute_0_1692:[bind(X_10,$fot(X_171)),bind(X_161,$fot(X_172)),bind(X_162,$fot(inverse(multiply(X_128,X_172))))]]) ).
cnf(refute_0_4243,plain,
inverse(multiply(X_128,commutator(X_128,X_172))) = multiply(inverse(multiply(X_128,X_172)),X_172),
inference(subst,[],[refute_0_814:[bind(X_127,$fot(X_172))]]) ).
cnf(refute_0_4244,plain,
( inverse(multiply(X_128,commutator(X_128,X_172))) != multiply(inverse(multiply(X_128,X_172)),X_172)
| multiply(inverse(multiply(X_128,X_172)),X_172) = inverse(multiply(X_128,commutator(X_128,X_172))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(inverse(multiply(X_128,commutator(X_128,X_172))))),bind(Y0,$fot(multiply(inverse(multiply(X_128,X_172)),X_172)))]]) ).
cnf(refute_0_4245,plain,
multiply(inverse(multiply(X_128,X_172)),X_172) = inverse(multiply(X_128,commutator(X_128,X_172))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_128,commutator(X_128,X_172))),multiply(inverse(multiply(X_128,X_172)),X_172)) )],[refute_0_4243,refute_0_4244]) ).
cnf(refute_0_4246,plain,
( multiply(inverse(multiply(X_128,X_172)),X_172) != inverse(multiply(X_128,commutator(X_128,X_172)))
| commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),X_172)) != commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),inverse(X_171)))
| commutator(multiply(X_171,X_172),inverse(multiply(X_128,commutator(X_128,X_172)))) = commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),inverse(X_171))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),X_172)),commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),inverse(X_171)))) ),[0,1],$fot(inverse(multiply(X_128,commutator(X_128,X_172))))]]) ).
cnf(refute_0_4247,plain,
( commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),X_172)) != commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),inverse(X_171)))
| commutator(multiply(X_171,X_172),inverse(multiply(X_128,commutator(X_128,X_172)))) = commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),inverse(X_171))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_128,X_172)),X_172),inverse(multiply(X_128,commutator(X_128,X_172)))) )],[refute_0_4245,refute_0_4246]) ).
cnf(refute_0_4248,plain,
commutator(multiply(X_171,X_172),inverse(multiply(X_128,commutator(X_128,X_172)))) = commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),inverse(X_171))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),X_172)),commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),inverse(X_171)))) )],[refute_0_4242,refute_0_4247]) ).
cnf(refute_0_4249,plain,
commutator(multiply(X_171,X_172),inverse(multiply(X_128,commutator(X_128,X_172)))) = commutator(multiply(X_128,commutator(X_128,X_172)),multiply(X_171,X_172)),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(multiply(X_128,commutator(X_128,X_172)))),bind(X_110,$fot(multiply(X_171,X_172)))]]) ).
cnf(refute_0_4250,plain,
( commutator(multiply(X_171,X_172),inverse(multiply(X_128,commutator(X_128,X_172)))) != commutator(multiply(X_128,commutator(X_128,X_172)),multiply(X_171,X_172))
| commutator(multiply(X_171,X_172),inverse(multiply(X_128,commutator(X_128,X_172)))) != commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),inverse(X_171)))
| commutator(multiply(X_128,commutator(X_128,X_172)),multiply(X_171,X_172)) = commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),inverse(X_171))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_171,X_172),inverse(multiply(X_128,commutator(X_128,X_172)))),commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),inverse(X_171)))) ),[0],$fot(commutator(multiply(X_128,commutator(X_128,X_172)),multiply(X_171,X_172)))]]) ).
cnf(refute_0_4251,plain,
( commutator(multiply(X_171,X_172),inverse(multiply(X_128,commutator(X_128,X_172)))) != commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),inverse(X_171)))
| commutator(multiply(X_128,commutator(X_128,X_172)),multiply(X_171,X_172)) = commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),inverse(X_171))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_171,X_172),inverse(multiply(X_128,commutator(X_128,X_172)))),commutator(multiply(X_128,commutator(X_128,X_172)),multiply(X_171,X_172))) )],[refute_0_4249,refute_0_4250]) ).
cnf(refute_0_4252,plain,
commutator(multiply(X_171,X_172),inverse(multiply(X_171,multiply(X_128,X_172)))) = commutator(multiply(X_171,multiply(X_128,X_172)),multiply(X_171,X_172)),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(multiply(X_171,multiply(X_128,X_172)))),bind(X_110,$fot(multiply(X_171,X_172)))]]) ).
cnf(refute_0_4253,plain,
multiply(inverse(multiply(X_128,X_172)),inverse(X_171)) = inverse(multiply(X_171,multiply(X_128,X_172))),
inference(subst,[],[refute_0_257:[bind(X_10,$fot(multiply(X_128,X_172))),bind(X_58,$fot(X_171))]]) ).
cnf(refute_0_4254,plain,
commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),inverse(X_171))) = commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),inverse(X_171))),
introduced(tautology,[refl,[$fot(commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),inverse(X_171))))]]) ).
cnf(refute_0_4255,plain,
( multiply(inverse(multiply(X_128,X_172)),inverse(X_171)) != inverse(multiply(X_171,multiply(X_128,X_172)))
| commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),inverse(X_171))) != commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),inverse(X_171)))
| commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),inverse(X_171))) = commutator(multiply(X_171,X_172),inverse(multiply(X_171,multiply(X_128,X_172)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),inverse(X_171))),commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),inverse(X_171)))) ),[1,1],$fot(inverse(multiply(X_171,multiply(X_128,X_172))))]]) ).
cnf(refute_0_4256,plain,
( multiply(inverse(multiply(X_128,X_172)),inverse(X_171)) != inverse(multiply(X_171,multiply(X_128,X_172)))
| commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),inverse(X_171))) = commutator(multiply(X_171,X_172),inverse(multiply(X_171,multiply(X_128,X_172)))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),inverse(X_171))),commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),inverse(X_171)))) )],[refute_0_4254,refute_0_4255]) ).
cnf(refute_0_4257,plain,
commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),inverse(X_171))) = commutator(multiply(X_171,X_172),inverse(multiply(X_171,multiply(X_128,X_172)))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_128,X_172)),inverse(X_171)),inverse(multiply(X_171,multiply(X_128,X_172)))) )],[refute_0_4253,refute_0_4256]) ).
cnf(refute_0_4258,plain,
( commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),inverse(X_171))) != commutator(multiply(X_171,X_172),inverse(multiply(X_171,multiply(X_128,X_172))))
| commutator(multiply(X_171,X_172),inverse(multiply(X_171,multiply(X_128,X_172)))) != commutator(multiply(X_171,multiply(X_128,X_172)),multiply(X_171,X_172))
| commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),inverse(X_171))) = commutator(multiply(X_171,multiply(X_128,X_172)),multiply(X_171,X_172)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),inverse(X_171))))),bind(Y0,$fot(commutator(multiply(X_171,X_172),inverse(multiply(X_171,multiply(X_128,X_172)))))),bind(Z0,$fot(commutator(multiply(X_171,multiply(X_128,X_172)),multiply(X_171,X_172))))]]) ).
cnf(refute_0_4259,plain,
( commutator(multiply(X_171,X_172),inverse(multiply(X_171,multiply(X_128,X_172)))) != commutator(multiply(X_171,multiply(X_128,X_172)),multiply(X_171,X_172))
| commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),inverse(X_171))) = commutator(multiply(X_171,multiply(X_128,X_172)),multiply(X_171,X_172)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),inverse(X_171))),commutator(multiply(X_171,X_172),inverse(multiply(X_171,multiply(X_128,X_172))))) )],[refute_0_4257,refute_0_4258]) ).
cnf(refute_0_4260,plain,
commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),inverse(X_171))) = commutator(multiply(X_171,multiply(X_128,X_172)),multiply(X_171,X_172)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_171,X_172),inverse(multiply(X_171,multiply(X_128,X_172)))),commutator(multiply(X_171,multiply(X_128,X_172)),multiply(X_171,X_172))) )],[refute_0_4252,refute_0_4259]) ).
cnf(refute_0_4261,plain,
( commutator(multiply(X_128,commutator(X_128,X_172)),multiply(X_171,X_172)) != commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),inverse(X_171)))
| commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),inverse(X_171))) != commutator(multiply(X_171,multiply(X_128,X_172)),multiply(X_171,X_172))
| commutator(multiply(X_128,commutator(X_128,X_172)),multiply(X_171,X_172)) = commutator(multiply(X_171,multiply(X_128,X_172)),multiply(X_171,X_172)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(multiply(X_128,commutator(X_128,X_172)),multiply(X_171,X_172)),commutator(multiply(X_171,multiply(X_128,X_172)),multiply(X_171,X_172))) ),[0],$fot(commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),inverse(X_171))))]]) ).
cnf(refute_0_4262,plain,
( commutator(multiply(X_128,commutator(X_128,X_172)),multiply(X_171,X_172)) != commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),inverse(X_171)))
| commutator(multiply(X_128,commutator(X_128,X_172)),multiply(X_171,X_172)) = commutator(multiply(X_171,multiply(X_128,X_172)),multiply(X_171,X_172)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),inverse(X_171))),commutator(multiply(X_171,multiply(X_128,X_172)),multiply(X_171,X_172))) )],[refute_0_4260,refute_0_4261]) ).
cnf(refute_0_4263,plain,
( commutator(multiply(X_171,X_172),inverse(multiply(X_128,commutator(X_128,X_172)))) != commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),inverse(X_171)))
| commutator(multiply(X_128,commutator(X_128,X_172)),multiply(X_171,X_172)) = commutator(multiply(X_171,multiply(X_128,X_172)),multiply(X_171,X_172)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_128,commutator(X_128,X_172)),multiply(X_171,X_172)),commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),inverse(X_171)))) )],[refute_0_4251,refute_0_4262]) ).
cnf(refute_0_4264,plain,
commutator(multiply(X_128,commutator(X_128,X_172)),multiply(X_171,X_172)) = commutator(multiply(X_171,multiply(X_128,X_172)),multiply(X_171,X_172)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_171,X_172),inverse(multiply(X_128,commutator(X_128,X_172)))),commutator(multiply(X_171,X_172),multiply(inverse(multiply(X_128,X_172)),inverse(X_171)))) )],[refute_0_4248,refute_0_4263]) ).
cnf(refute_0_4265,plain,
commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_183,X_182)) = commutator(multiply(X_183,multiply(X_183,X_182)),multiply(X_183,X_182)),
inference(subst,[],[refute_0_4264:[bind(X_128,$fot(X_183)),bind(X_171,$fot(X_183)),bind(X_172,$fot(X_182))]]) ).
cnf(refute_0_4266,plain,
( commutator(multiply(X_183,multiply(X_183,X_182)),multiply(X_183,X_182)) != commutator(X_183,X_182)
| commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_183,X_182)) != commutator(multiply(X_183,multiply(X_183,X_182)),multiply(X_183,X_182))
| commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_183,X_182)) = commutator(X_183,X_182) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_183,X_182)))),bind(Y0,$fot(commutator(multiply(X_183,multiply(X_183,X_182)),multiply(X_183,X_182)))),bind(Z0,$fot(commutator(X_183,X_182)))]]) ).
cnf(refute_0_4267,plain,
( commutator(multiply(X_183,multiply(X_183,X_182)),multiply(X_183,X_182)) != commutator(X_183,X_182)
| commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_183,X_182)) = commutator(X_183,X_182) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_183,X_182)),commutator(multiply(X_183,multiply(X_183,X_182)),multiply(X_183,X_182))) )],[refute_0_4265,refute_0_4266]) ).
cnf(refute_0_4268,plain,
commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_183,X_182)) = commutator(X_183,X_182),
inference(resolve,[$cnf( $equal(commutator(multiply(X_183,multiply(X_183,X_182)),multiply(X_183,X_182)),commutator(X_183,X_182)) )],[refute_0_4241,refute_0_4267]) ).
cnf(refute_0_4269,plain,
( commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_182,X_183)) != commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_183,X_182))
| commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_183,X_182)) != commutator(X_183,X_182)
| commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_182,X_183)) = commutator(X_183,X_182) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_182,X_183)),commutator(X_183,X_182)) ),[0],$fot(commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_183,X_182)))]]) ).
cnf(refute_0_4270,plain,
( commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_182,X_183)) != commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_183,X_182))
| commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_182,X_183)) = commutator(X_183,X_182) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_183,X_182)),commutator(X_183,X_182)) )],[refute_0_4268,refute_0_4269]) ).
cnf(refute_0_4271,plain,
( commutator(multiply(X_183,commutator(X_183,X_182)),multiply(multiply(X_183,X_182),commutator(X_182,X_183))) != commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_183,X_182))
| commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_182,X_183)) = commutator(X_183,X_182) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_182,X_183)),commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_183,X_182))) )],[refute_0_4236,refute_0_4270]) ).
cnf(refute_0_4272,plain,
commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_182,X_183)) = commutator(X_183,X_182),
inference(resolve,[$cnf( $equal(commutator(multiply(X_183,commutator(X_183,X_182)),multiply(multiply(X_183,X_182),commutator(X_182,X_183))),commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_183,X_182))) )],[refute_0_4225,refute_0_4271]) ).
cnf(refute_0_4273,plain,
( commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_182,X_183)) != commutator(X_183,X_182)
| commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_182,X_183)))) != commutator(multiply(X_183,commutator(X_183,X_182)),X_618)
| commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,commutator(X_183,X_182))) = commutator(multiply(X_183,commutator(X_183,X_182)),X_618) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_182,X_183)))),commutator(multiply(X_183,commutator(X_183,X_182)),X_618)) ),[0,1,1],$fot(commutator(X_183,X_182))]]) ).
cnf(refute_0_4274,plain,
( commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_182,X_183)))) != commutator(multiply(X_183,commutator(X_183,X_182)),X_618)
| commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,commutator(X_183,X_182))) = commutator(multiply(X_183,commutator(X_183,X_182)),X_618) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_182,X_183)),commutator(X_183,X_182)) )],[refute_0_4272,refute_0_4273]) ).
cnf(refute_0_4275,plain,
commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,commutator(X_183,X_182))) = commutator(multiply(X_183,commutator(X_183,X_182)),X_618),
inference(resolve,[$cnf( $equal(commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_182,X_183)))),commutator(multiply(X_183,commutator(X_183,X_182)),X_618)) )],[refute_0_4176,refute_0_4274]) ).
cnf(refute_0_4276,plain,
commutator(multiply(commutator(X_161,X_436),X_161),multiply(X_162,X_161)) = commutator(multiply(commutator(X_161,X_436),X_161),multiply(X_162,inverse(commutator(X_161,X_436)))),
inference(subst,[],[refute_0_1692:[bind(X_10,$fot(commutator(X_161,X_436)))]]) ).
cnf(refute_0_4277,plain,
multiply(commutator(X_161,X_436),X_161) = multiply(X_161,commutator(X_161,X_436)),
inference(subst,[],[refute_0_2195:[bind(X_102,$fot(X_436)),bind(X_58,$fot(X_161))]]) ).
cnf(refute_0_4278,plain,
( multiply(commutator(X_161,X_436),X_161) != multiply(X_161,commutator(X_161,X_436))
| commutator(multiply(commutator(X_161,X_436),X_161),multiply(X_162,X_161)) != commutator(multiply(commutator(X_161,X_436),X_161),multiply(X_162,inverse(commutator(X_161,X_436))))
| commutator(multiply(commutator(X_161,X_436),X_161),multiply(X_162,X_161)) = commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,inverse(commutator(X_161,X_436)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(commutator(X_161,X_436),X_161),multiply(X_162,X_161)),commutator(multiply(commutator(X_161,X_436),X_161),multiply(X_162,inverse(commutator(X_161,X_436))))) ),[1,0],$fot(multiply(X_161,commutator(X_161,X_436)))]]) ).
cnf(refute_0_4279,plain,
( commutator(multiply(commutator(X_161,X_436),X_161),multiply(X_162,X_161)) != commutator(multiply(commutator(X_161,X_436),X_161),multiply(X_162,inverse(commutator(X_161,X_436))))
| commutator(multiply(commutator(X_161,X_436),X_161),multiply(X_162,X_161)) = commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,inverse(commutator(X_161,X_436)))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_161,X_436),X_161),multiply(X_161,commutator(X_161,X_436))) )],[refute_0_4277,refute_0_4278]) ).
cnf(refute_0_4280,plain,
commutator(multiply(commutator(X_161,X_436),X_161),multiply(X_162,X_161)) = commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,inverse(commutator(X_161,X_436)))),
inference(resolve,[$cnf( $equal(commutator(multiply(commutator(X_161,X_436),X_161),multiply(X_162,X_161)),commutator(multiply(commutator(X_161,X_436),X_161),multiply(X_162,inverse(commutator(X_161,X_436))))) )],[refute_0_4276,refute_0_4279]) ).
cnf(refute_0_4281,plain,
commutator(multiply(commutator(X_161,X_436),X_161),multiply(X_162,X_161)) = commutator(multiply(commutator(X_161,X_436),X_161),multiply(X_162,X_161)),
introduced(tautology,[refl,[$fot(commutator(multiply(commutator(X_161,X_436),X_161),multiply(X_162,X_161)))]]) ).
cnf(refute_0_4282,plain,
( multiply(commutator(X_161,X_436),X_161) != multiply(X_161,commutator(X_161,X_436))
| commutator(multiply(commutator(X_161,X_436),X_161),multiply(X_162,X_161)) != commutator(multiply(commutator(X_161,X_436),X_161),multiply(X_162,X_161))
| commutator(multiply(commutator(X_161,X_436),X_161),multiply(X_162,X_161)) = commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,X_161)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(commutator(X_161,X_436),X_161),multiply(X_162,X_161)),commutator(multiply(commutator(X_161,X_436),X_161),multiply(X_162,X_161))) ),[1,0],$fot(multiply(X_161,commutator(X_161,X_436)))]]) ).
cnf(refute_0_4283,plain,
( multiply(commutator(X_161,X_436),X_161) != multiply(X_161,commutator(X_161,X_436))
| commutator(multiply(commutator(X_161,X_436),X_161),multiply(X_162,X_161)) = commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,X_161)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(commutator(X_161,X_436),X_161),multiply(X_162,X_161)),commutator(multiply(commutator(X_161,X_436),X_161),multiply(X_162,X_161))) )],[refute_0_4281,refute_0_4282]) ).
cnf(refute_0_4284,plain,
commutator(multiply(commutator(X_161,X_436),X_161),multiply(X_162,X_161)) = commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,X_161)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_161,X_436),X_161),multiply(X_161,commutator(X_161,X_436))) )],[refute_0_4277,refute_0_4283]) ).
cnf(refute_0_4285,plain,
( commutator(multiply(commutator(X_161,X_436),X_161),multiply(X_162,X_161)) != commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,X_161))
| commutator(multiply(commutator(X_161,X_436),X_161),multiply(X_162,X_161)) != commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,inverse(commutator(X_161,X_436))))
| commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,X_161)) = commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,inverse(commutator(X_161,X_436)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(commutator(X_161,X_436),X_161),multiply(X_162,X_161)),commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,inverse(commutator(X_161,X_436))))) ),[0],$fot(commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,X_161)))]]) ).
cnf(refute_0_4286,plain,
( commutator(multiply(commutator(X_161,X_436),X_161),multiply(X_162,X_161)) != commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,inverse(commutator(X_161,X_436))))
| commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,X_161)) = commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,inverse(commutator(X_161,X_436)))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(commutator(X_161,X_436),X_161),multiply(X_162,X_161)),commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,X_161))) )],[refute_0_4284,refute_0_4285]) ).
cnf(refute_0_4287,plain,
inverse(commutator(X_161,X_436)) = commutator(X_436,X_161),
inference(subst,[],[refute_0_386:[bind(X,$fot(X_436)),bind(Y,$fot(X_161))]]) ).
cnf(refute_0_4288,plain,
multiply(X_162,inverse(commutator(X_161,X_436))) = multiply(X_162,inverse(commutator(X_161,X_436))),
introduced(tautology,[refl,[$fot(multiply(X_162,inverse(commutator(X_161,X_436))))]]) ).
cnf(refute_0_4289,plain,
( multiply(X_162,inverse(commutator(X_161,X_436))) != multiply(X_162,inverse(commutator(X_161,X_436)))
| inverse(commutator(X_161,X_436)) != commutator(X_436,X_161)
| multiply(X_162,inverse(commutator(X_161,X_436))) = multiply(X_162,commutator(X_436,X_161)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_162,inverse(commutator(X_161,X_436))),multiply(X_162,inverse(commutator(X_161,X_436)))) ),[1,1],$fot(commutator(X_436,X_161))]]) ).
cnf(refute_0_4290,plain,
( inverse(commutator(X_161,X_436)) != commutator(X_436,X_161)
| multiply(X_162,inverse(commutator(X_161,X_436))) = multiply(X_162,commutator(X_436,X_161)) ),
inference(resolve,[$cnf( $equal(multiply(X_162,inverse(commutator(X_161,X_436))),multiply(X_162,inverse(commutator(X_161,X_436)))) )],[refute_0_4288,refute_0_4289]) ).
cnf(refute_0_4291,plain,
multiply(X_162,inverse(commutator(X_161,X_436))) = multiply(X_162,commutator(X_436,X_161)),
inference(resolve,[$cnf( $equal(inverse(commutator(X_161,X_436)),commutator(X_436,X_161)) )],[refute_0_4287,refute_0_4290]) ).
cnf(refute_0_4292,plain,
commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,inverse(commutator(X_161,X_436)))) = commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,inverse(commutator(X_161,X_436)))),
introduced(tautology,[refl,[$fot(commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,inverse(commutator(X_161,X_436)))))]]) ).
cnf(refute_0_4293,plain,
( multiply(X_162,inverse(commutator(X_161,X_436))) != multiply(X_162,commutator(X_436,X_161))
| commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,inverse(commutator(X_161,X_436)))) != commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,inverse(commutator(X_161,X_436))))
| commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,inverse(commutator(X_161,X_436)))) = commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,commutator(X_436,X_161))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,inverse(commutator(X_161,X_436)))),commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,inverse(commutator(X_161,X_436))))) ),[1,1],$fot(multiply(X_162,commutator(X_436,X_161)))]]) ).
cnf(refute_0_4294,plain,
( multiply(X_162,inverse(commutator(X_161,X_436))) != multiply(X_162,commutator(X_436,X_161))
| commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,inverse(commutator(X_161,X_436)))) = commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,commutator(X_436,X_161))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,inverse(commutator(X_161,X_436)))),commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,inverse(commutator(X_161,X_436))))) )],[refute_0_4292,refute_0_4293]) ).
cnf(refute_0_4295,plain,
commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,inverse(commutator(X_161,X_436)))) = commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,commutator(X_436,X_161))),
inference(resolve,[$cnf( $equal(multiply(X_162,inverse(commutator(X_161,X_436))),multiply(X_162,commutator(X_436,X_161))) )],[refute_0_4291,refute_0_4294]) ).
cnf(refute_0_4296,plain,
( commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,X_161)) != commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,inverse(commutator(X_161,X_436))))
| commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,inverse(commutator(X_161,X_436)))) != commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,commutator(X_436,X_161)))
| commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,X_161)) = commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,commutator(X_436,X_161))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,X_161)),commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,commutator(X_436,X_161)))) ),[0],$fot(commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,inverse(commutator(X_161,X_436)))))]]) ).
cnf(refute_0_4297,plain,
( commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,X_161)) != commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,inverse(commutator(X_161,X_436))))
| commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,X_161)) = commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,commutator(X_436,X_161))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,inverse(commutator(X_161,X_436)))),commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,commutator(X_436,X_161)))) )],[refute_0_4295,refute_0_4296]) ).
cnf(refute_0_4298,plain,
( commutator(multiply(commutator(X_161,X_436),X_161),multiply(X_162,X_161)) != commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,inverse(commutator(X_161,X_436))))
| commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,X_161)) = commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,commutator(X_436,X_161))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,X_161)),commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,inverse(commutator(X_161,X_436))))) )],[refute_0_4286,refute_0_4297]) ).
cnf(refute_0_4299,plain,
commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,X_161)) = commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,commutator(X_436,X_161))),
inference(resolve,[$cnf( $equal(commutator(multiply(commutator(X_161,X_436),X_161),multiply(X_162,X_161)),commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,inverse(commutator(X_161,X_436))))) )],[refute_0_4280,refute_0_4298]) ).
cnf(refute_0_4300,plain,
commutator(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,commutator(X_282,X_283))) = multiply(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(commutator(X_282,X_283),multiply(X_281,commutator(X_283,X_282)))))))),
inference(subst,[],[refute_0_3260:[bind(X_10,$fot(multiply(X_281,commutator(X_283,X_282)))),bind(X_161,$fot(commutator(X_282,X_283)))]]) ).
cnf(refute_0_4301,plain,
( multiply(commutator(X_282,X_283),multiply(X_281,commutator(X_283,X_282))) != multiply(X_281,commutator(X_282,commutator(X_283,X_281)))
| commutator(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,commutator(X_282,X_283))) != multiply(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(commutator(X_282,X_283),multiply(X_281,commutator(X_283,X_282))))))))
| commutator(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,commutator(X_282,X_283))) = multiply(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,commutator(X_282,X_283))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(commutator(X_282,X_283),multiply(X_281,commutator(X_283,X_282))))))))) ),[1,1,1,1,0,1],$fot(multiply(X_281,commutator(X_282,commutator(X_283,X_281))))]]) ).
cnf(refute_0_4302,plain,
( commutator(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,commutator(X_282,X_283))) != multiply(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(commutator(X_282,X_283),multiply(X_281,commutator(X_283,X_282))))))))
| commutator(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,commutator(X_282,X_283))) = multiply(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_282,X_283),multiply(X_281,commutator(X_283,X_282))),multiply(X_281,commutator(X_282,commutator(X_283,X_281)))) )],[refute_0_2990,refute_0_4301]) ).
cnf(refute_0_4303,plain,
commutator(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,commutator(X_282,X_283))) = multiply(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,commutator(X_282,X_283))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(commutator(X_282,X_283),multiply(X_281,commutator(X_283,X_282))))))))) )],[refute_0_4300,refute_0_4302]) ).
cnf(refute_0_4304,plain,
multiply(multiply(X_281,commutator(X_282,commutator(X_283,X_281))),commutator(X_283,X_282)) = multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))),
inference(subst,[],[associativity:[bind(X,$fot(X_281)),bind(Y,$fot(commutator(X_282,commutator(X_283,X_281)))),bind(Z,$fot(commutator(X_283,X_282)))]]) ).
cnf(refute_0_4305,plain,
multiply(X_162,multiply(multiply(X_281,commutator(X_282,commutator(X_283,X_281))),commutator(X_283,X_282))) = multiply(X_162,multiply(multiply(X_281,commutator(X_282,commutator(X_283,X_281))),commutator(X_283,X_282))),
introduced(tautology,[refl,[$fot(multiply(X_162,multiply(multiply(X_281,commutator(X_282,commutator(X_283,X_281))),commutator(X_283,X_282))))]]) ).
cnf(refute_0_4306,plain,
( multiply(X_162,multiply(multiply(X_281,commutator(X_282,commutator(X_283,X_281))),commutator(X_283,X_282))) != multiply(X_162,multiply(multiply(X_281,commutator(X_282,commutator(X_283,X_281))),commutator(X_283,X_282)))
| multiply(multiply(X_281,commutator(X_282,commutator(X_283,X_281))),commutator(X_283,X_282)) != multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))
| multiply(X_162,multiply(multiply(X_281,commutator(X_282,commutator(X_283,X_281))),commutator(X_283,X_282))) = multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_162,multiply(multiply(X_281,commutator(X_282,commutator(X_283,X_281))),commutator(X_283,X_282))),multiply(X_162,multiply(multiply(X_281,commutator(X_282,commutator(X_283,X_281))),commutator(X_283,X_282)))) ),[1,1],$fot(multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))]]) ).
cnf(refute_0_4307,plain,
( multiply(multiply(X_281,commutator(X_282,commutator(X_283,X_281))),commutator(X_283,X_282)) != multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))
| multiply(X_162,multiply(multiply(X_281,commutator(X_282,commutator(X_283,X_281))),commutator(X_283,X_282))) = multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))) ),
inference(resolve,[$cnf( $equal(multiply(X_162,multiply(multiply(X_281,commutator(X_282,commutator(X_283,X_281))),commutator(X_283,X_282))),multiply(X_162,multiply(multiply(X_281,commutator(X_282,commutator(X_283,X_281))),commutator(X_283,X_282)))) )],[refute_0_4305,refute_0_4306]) ).
cnf(refute_0_4308,plain,
multiply(X_162,multiply(multiply(X_281,commutator(X_282,commutator(X_283,X_281))),commutator(X_283,X_282))) = multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_281,commutator(X_282,commutator(X_283,X_281))),commutator(X_283,X_282)),multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))) )],[refute_0_4304,refute_0_4307]) ).
cnf(refute_0_4309,plain,
multiply(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),commutator(X_283,X_282)) = multiply(X_162,multiply(multiply(X_281,commutator(X_282,commutator(X_283,X_281))),commutator(X_283,X_282))),
inference(subst,[],[associativity:[bind(X,$fot(X_162)),bind(Y,$fot(multiply(X_281,commutator(X_282,commutator(X_283,X_281))))),bind(Z,$fot(commutator(X_283,X_282)))]]) ).
cnf(refute_0_4310,plain,
( multiply(X_162,multiply(multiply(X_281,commutator(X_282,commutator(X_283,X_281))),commutator(X_283,X_282))) != multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))
| multiply(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),commutator(X_283,X_282)) != multiply(X_162,multiply(multiply(X_281,commutator(X_282,commutator(X_283,X_281))),commutator(X_283,X_282)))
| multiply(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),commutator(X_283,X_282)) = multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),commutator(X_283,X_282)))),bind(Y0,$fot(multiply(X_162,multiply(multiply(X_281,commutator(X_282,commutator(X_283,X_281))),commutator(X_283,X_282))))),bind(Z0,$fot(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))))]]) ).
cnf(refute_0_4311,plain,
( multiply(X_162,multiply(multiply(X_281,commutator(X_282,commutator(X_283,X_281))),commutator(X_283,X_282))) != multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))
| multiply(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),commutator(X_283,X_282)) = multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),commutator(X_283,X_282)),multiply(X_162,multiply(multiply(X_281,commutator(X_282,commutator(X_283,X_281))),commutator(X_283,X_282)))) )],[refute_0_4309,refute_0_4310]) ).
cnf(refute_0_4312,plain,
multiply(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),commutator(X_283,X_282)) = multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))),
inference(resolve,[$cnf( $equal(multiply(X_162,multiply(multiply(X_281,commutator(X_282,commutator(X_283,X_281))),commutator(X_283,X_282))),multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))) )],[refute_0_4308,refute_0_4311]) ).
cnf(refute_0_4313,plain,
inverse(multiply(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),commutator(X_283,X_282))) = inverse(multiply(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),commutator(X_283,X_282))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),commutator(X_283,X_282))))]]) ).
cnf(refute_0_4314,plain,
( multiply(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),commutator(X_283,X_282)) != multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))
| inverse(multiply(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),commutator(X_283,X_282))) != inverse(multiply(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),commutator(X_283,X_282)))
| inverse(multiply(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),commutator(X_283,X_282))) = inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),commutator(X_283,X_282))),inverse(multiply(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),commutator(X_283,X_282)))) ),[1,0],$fot(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))]]) ).
cnf(refute_0_4315,plain,
( multiply(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),commutator(X_283,X_282)) != multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))
| inverse(multiply(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),commutator(X_283,X_282))) = inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),commutator(X_283,X_282))),inverse(multiply(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),commutator(X_283,X_282)))) )],[refute_0_4313,refute_0_4314]) ).
cnf(refute_0_4316,plain,
inverse(multiply(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),commutator(X_283,X_282))) = inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),commutator(X_283,X_282)),multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))) )],[refute_0_4312,refute_0_4315]) ).
cnf(refute_0_4317,plain,
multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))) = inverse(multiply(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),commutator(X_283,X_282))),
inference(subst,[],[refute_0_378:[bind(X_58,$fot(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))),bind(X_65,$fot(X_282)),bind(X_66,$fot(X_283))]]) ).
cnf(refute_0_4318,plain,
( multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))) != inverse(multiply(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),commutator(X_283,X_282)))
| inverse(multiply(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),commutator(X_283,X_282))) != inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))
| multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))) = inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))))),bind(Y0,$fot(inverse(multiply(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),commutator(X_283,X_282))))),bind(Z0,$fot(inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))))]]) ).
cnf(refute_0_4319,plain,
( inverse(multiply(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),commutator(X_283,X_282))) != inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))
| multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))) = inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))),inverse(multiply(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),commutator(X_283,X_282)))) )],[refute_0_4317,refute_0_4318]) ).
cnf(refute_0_4320,plain,
multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))) = inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))),commutator(X_283,X_282))),inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))) )],[refute_0_4316,refute_0_4319]) ).
cnf(refute_0_4321,plain,
multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281))))))) = multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281))))))),
introduced(tautology,[refl,[$fot(multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281))))))))]]) ).
cnf(refute_0_4322,plain,
( multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281))))))) != multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))))
| multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))) != inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))
| multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281))))))) = multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281))))))),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))))) ),[1,1],$fot(inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))))]]) ).
cnf(refute_0_4323,plain,
( multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))) != inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))
| multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281))))))) = multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))) ),
inference(resolve,[$cnf( $equal(multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281))))))),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))))) )],[refute_0_4321,refute_0_4322]) ).
cnf(refute_0_4324,plain,
multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281))))))) = multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))),inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))) )],[refute_0_4320,refute_0_4323]) ).
cnf(refute_0_4325,plain,
multiply(commutator(X_283,X_282),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))))) = multiply(commutator(X_283,X_282),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))))),
introduced(tautology,[refl,[$fot(multiply(commutator(X_283,X_282),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))))))]]) ).
cnf(refute_0_4326,plain,
( multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281))))))) != multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))))
| multiply(commutator(X_283,X_282),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))))) != multiply(commutator(X_283,X_282),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281))))))))
| multiply(commutator(X_283,X_282),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))))) = multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_283,X_282),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))))),multiply(commutator(X_283,X_282),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281))))))))) ),[1,1],$fot(multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))))]]) ).
cnf(refute_0_4327,plain,
( multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281))))))) != multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))))
| multiply(commutator(X_283,X_282),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))))) = multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_283,X_282),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))))),multiply(commutator(X_283,X_282),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281))))))))) )],[refute_0_4325,refute_0_4326]) ).
cnf(refute_0_4328,plain,
multiply(commutator(X_283,X_282),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))))) = multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))))),
inference(resolve,[$cnf( $equal(multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281))))))),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))))) )],[refute_0_4324,refute_0_4327]) ).
cnf(refute_0_4329,plain,
multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281))))))))) = multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281))))))))),
introduced(tautology,[refl,[$fot(multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281))))))))))]]) ).
cnf(refute_0_4330,plain,
( multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281))))))))) != multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))))))
| multiply(commutator(X_283,X_282),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))))) != multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))))
| multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281))))))))) = multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281))))))))),multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))))))) ),[1,1],$fot(multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))))))]]) ).
cnf(refute_0_4331,plain,
( multiply(commutator(X_283,X_282),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))))) != multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))))
| multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281))))))))) = multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))))) ),
inference(resolve,[$cnf( $equal(multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281))))))))),multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))))))) )],[refute_0_4329,refute_0_4330]) ).
cnf(refute_0_4332,plain,
multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281))))))))) = multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_283,X_282),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))))),multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))))) )],[refute_0_4328,refute_0_4331]) ).
cnf(refute_0_4333,plain,
multiply(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))))) = multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281))))))))),
inference(subst,[],[associativity:[bind(X,$fot(X_281)),bind(Y,$fot(commutator(X_283,X_282))),bind(Z,$fot(multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))))))]]) ).
cnf(refute_0_4334,plain,
( multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281))))))))) != multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))))))
| multiply(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))))) != multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))))))
| multiply(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))))) = multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))))))),bind(Y0,$fot(multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281))))))))))),bind(Z0,$fot(multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))))))))]]) ).
cnf(refute_0_4335,plain,
( multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281))))))))) != multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))))))
| multiply(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))))) = multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))))),multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))))))) )],[refute_0_4333,refute_0_4334]) ).
cnf(refute_0_4336,plain,
multiply(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))))) = multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))))),
inference(resolve,[$cnf( $equal(multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281))))))))),multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))))))) )],[refute_0_4332,refute_0_4335]) ).
cnf(refute_0_4337,plain,
( multiply(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))))) != multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))))))
| commutator(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,commutator(X_282,X_283))) != multiply(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281))))))))
| commutator(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,commutator(X_282,X_283))) = multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,commutator(X_282,X_283))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281))))))))) ),[1],$fot(multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))))))]]) ).
cnf(refute_0_4338,plain,
( commutator(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,commutator(X_282,X_283))) != multiply(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281))))))))
| commutator(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,commutator(X_282,X_283))) = multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281)))))))),multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))))))) )],[refute_0_4336,refute_0_4337]) ).
cnf(refute_0_4339,plain,
commutator(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,commutator(X_282,X_283))) = multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,commutator(X_282,X_283))),multiply(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,multiply(commutator(X_282,X_283),inverse(multiply(X_162,multiply(X_281,commutator(X_282,commutator(X_283,X_281))))))))) )],[refute_0_4303,refute_0_4338]) ).
cnf(refute_0_4340,plain,
commutator(multiply(X_10,X_11),multiply(X_246,inverse(X_10))) = multiply(multiply(X_10,X_11),multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_10,X_11))))))),
inference(subst,[],[refute_0_3260:[bind(X_10,$fot(multiply(X_10,X_11))),bind(X_161,$fot(inverse(X_10))),bind(X_162,$fot(X_246))]]) ).
cnf(refute_0_4341,plain,
( multiply(inverse(X_10),multiply(X_10,X_11)) != X_11
| commutator(multiply(X_10,X_11),multiply(X_246,inverse(X_10))) != multiply(multiply(X_10,X_11),multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_10,X_11)))))))
| commutator(multiply(X_10,X_11),multiply(X_246,inverse(X_10))) = multiply(multiply(X_10,X_11),multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_10,X_11),multiply(X_246,inverse(X_10))),multiply(multiply(X_10,X_11),multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_10,X_11)))))))) ),[1,1,1,1,0,1],$fot(X_11)]]) ).
cnf(refute_0_4342,plain,
( commutator(multiply(X_10,X_11),multiply(X_246,inverse(X_10))) != multiply(multiply(X_10,X_11),multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_10,X_11)))))))
| commutator(multiply(X_10,X_11),multiply(X_246,inverse(X_10))) = multiply(multiply(X_10,X_11),multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),multiply(X_10,X_11)),X_11) )],[refute_0_39,refute_0_4341]) ).
cnf(refute_0_4343,plain,
commutator(multiply(X_10,X_11),multiply(X_246,inverse(X_10))) = multiply(multiply(X_10,X_11),multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11))))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_10,X_11),multiply(X_246,inverse(X_10))),multiply(multiply(X_10,X_11),multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,multiply(inverse(X_10),multiply(X_10,X_11)))))))) )],[refute_0_4340,refute_0_4342]) ).
cnf(refute_0_4344,plain,
multiply(multiply(X_246,X_11),X_10) = multiply(X_246,multiply(X_11,X_10)),
inference(subst,[],[associativity:[bind(X,$fot(X_246)),bind(Y,$fot(X_11)),bind(Z,$fot(X_10))]]) ).
cnf(refute_0_4345,plain,
inverse(multiply(multiply(X_246,X_11),X_10)) = inverse(multiply(multiply(X_246,X_11),X_10)),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_246,X_11),X_10)))]]) ).
cnf(refute_0_4346,plain,
( multiply(multiply(X_246,X_11),X_10) != multiply(X_246,multiply(X_11,X_10))
| inverse(multiply(multiply(X_246,X_11),X_10)) != inverse(multiply(multiply(X_246,X_11),X_10))
| inverse(multiply(multiply(X_246,X_11),X_10)) = inverse(multiply(X_246,multiply(X_11,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_246,X_11),X_10)),inverse(multiply(multiply(X_246,X_11),X_10))) ),[1,0],$fot(multiply(X_246,multiply(X_11,X_10)))]]) ).
cnf(refute_0_4347,plain,
( multiply(multiply(X_246,X_11),X_10) != multiply(X_246,multiply(X_11,X_10))
| inverse(multiply(multiply(X_246,X_11),X_10)) = inverse(multiply(X_246,multiply(X_11,X_10))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_246,X_11),X_10)),inverse(multiply(multiply(X_246,X_11),X_10))) )],[refute_0_4345,refute_0_4346]) ).
cnf(refute_0_4348,plain,
inverse(multiply(multiply(X_246,X_11),X_10)) = inverse(multiply(X_246,multiply(X_11,X_10))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_246,X_11),X_10),multiply(X_246,multiply(X_11,X_10))) )],[refute_0_4344,refute_0_4347]) ).
cnf(refute_0_4349,plain,
multiply(inverse(X_10),inverse(multiply(X_246,X_11))) = inverse(multiply(multiply(X_246,X_11),X_10)),
inference(subst,[],[refute_0_257:[bind(X_58,$fot(multiply(X_246,X_11)))]]) ).
cnf(refute_0_4350,plain,
( multiply(inverse(X_10),inverse(multiply(X_246,X_11))) != inverse(multiply(multiply(X_246,X_11),X_10))
| inverse(multiply(multiply(X_246,X_11),X_10)) != inverse(multiply(X_246,multiply(X_11,X_10)))
| multiply(inverse(X_10),inverse(multiply(X_246,X_11))) = inverse(multiply(X_246,multiply(X_11,X_10))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(X_10),inverse(multiply(X_246,X_11))))),bind(Y0,$fot(inverse(multiply(multiply(X_246,X_11),X_10)))),bind(Z0,$fot(inverse(multiply(X_246,multiply(X_11,X_10)))))]]) ).
cnf(refute_0_4351,plain,
( inverse(multiply(multiply(X_246,X_11),X_10)) != inverse(multiply(X_246,multiply(X_11,X_10)))
| multiply(inverse(X_10),inverse(multiply(X_246,X_11))) = inverse(multiply(X_246,multiply(X_11,X_10))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),inverse(multiply(X_246,X_11))),inverse(multiply(multiply(X_246,X_11),X_10))) )],[refute_0_4349,refute_0_4350]) ).
cnf(refute_0_4352,plain,
multiply(inverse(X_10),inverse(multiply(X_246,X_11))) = inverse(multiply(X_246,multiply(X_11,X_10))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_246,X_11),X_10)),inverse(multiply(X_246,multiply(X_11,X_10)))) )],[refute_0_4348,refute_0_4351]) ).
cnf(refute_0_4353,plain,
multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11)))) = multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11)))),
introduced(tautology,[refl,[$fot(multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11)))))]]) ).
cnf(refute_0_4354,plain,
( multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11)))) != multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11))))
| multiply(inverse(X_10),inverse(multiply(X_246,X_11))) != inverse(multiply(X_246,multiply(X_11,X_10)))
| multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11)))) = multiply(X_246,inverse(multiply(X_246,multiply(X_11,X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11)))),multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11))))) ),[1,1],$fot(inverse(multiply(X_246,multiply(X_11,X_10))))]]) ).
cnf(refute_0_4355,plain,
( multiply(inverse(X_10),inverse(multiply(X_246,X_11))) != inverse(multiply(X_246,multiply(X_11,X_10)))
| multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11)))) = multiply(X_246,inverse(multiply(X_246,multiply(X_11,X_10)))) ),
inference(resolve,[$cnf( $equal(multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11)))),multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11))))) )],[refute_0_4353,refute_0_4354]) ).
cnf(refute_0_4356,plain,
multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11)))) = multiply(X_246,inverse(multiply(X_246,multiply(X_11,X_10)))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),inverse(multiply(X_246,X_11))),inverse(multiply(X_246,multiply(X_11,X_10)))) )],[refute_0_4352,refute_0_4355]) ).
cnf(refute_0_4357,plain,
multiply(X_11,multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11))))) = multiply(X_11,multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11))))),
introduced(tautology,[refl,[$fot(multiply(X_11,multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11))))))]]) ).
cnf(refute_0_4358,plain,
( multiply(X_11,multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11))))) != multiply(X_11,multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11)))))
| multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11)))) != multiply(X_246,inverse(multiply(X_246,multiply(X_11,X_10))))
| multiply(X_11,multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11))))) = multiply(X_11,multiply(X_246,inverse(multiply(X_246,multiply(X_11,X_10))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_11,multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11))))),multiply(X_11,multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11)))))) ),[1,1],$fot(multiply(X_246,inverse(multiply(X_246,multiply(X_11,X_10)))))]]) ).
cnf(refute_0_4359,plain,
( multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11)))) != multiply(X_246,inverse(multiply(X_246,multiply(X_11,X_10))))
| multiply(X_11,multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11))))) = multiply(X_11,multiply(X_246,inverse(multiply(X_246,multiply(X_11,X_10))))) ),
inference(resolve,[$cnf( $equal(multiply(X_11,multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11))))),multiply(X_11,multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11)))))) )],[refute_0_4357,refute_0_4358]) ).
cnf(refute_0_4360,plain,
multiply(X_11,multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11))))) = multiply(X_11,multiply(X_246,inverse(multiply(X_246,multiply(X_11,X_10))))),
inference(resolve,[$cnf( $equal(multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11)))),multiply(X_246,inverse(multiply(X_246,multiply(X_11,X_10))))) )],[refute_0_4356,refute_0_4359]) ).
cnf(refute_0_4361,plain,
multiply(X_10,multiply(X_11,multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11)))))) = multiply(X_10,multiply(X_11,multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11)))))),
introduced(tautology,[refl,[$fot(multiply(X_10,multiply(X_11,multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11)))))))]]) ).
cnf(refute_0_4362,plain,
( multiply(X_10,multiply(X_11,multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11)))))) != multiply(X_10,multiply(X_11,multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11))))))
| multiply(X_11,multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11))))) != multiply(X_11,multiply(X_246,inverse(multiply(X_246,multiply(X_11,X_10)))))
| multiply(X_10,multiply(X_11,multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11)))))) = multiply(X_10,multiply(X_11,multiply(X_246,inverse(multiply(X_246,multiply(X_11,X_10)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_10,multiply(X_11,multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11)))))),multiply(X_10,multiply(X_11,multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11))))))) ),[1,1],$fot(multiply(X_11,multiply(X_246,inverse(multiply(X_246,multiply(X_11,X_10))))))]]) ).
cnf(refute_0_4363,plain,
( multiply(X_11,multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11))))) != multiply(X_11,multiply(X_246,inverse(multiply(X_246,multiply(X_11,X_10)))))
| multiply(X_10,multiply(X_11,multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11)))))) = multiply(X_10,multiply(X_11,multiply(X_246,inverse(multiply(X_246,multiply(X_11,X_10)))))) ),
inference(resolve,[$cnf( $equal(multiply(X_10,multiply(X_11,multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11)))))),multiply(X_10,multiply(X_11,multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11))))))) )],[refute_0_4361,refute_0_4362]) ).
cnf(refute_0_4364,plain,
multiply(X_10,multiply(X_11,multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11)))))) = multiply(X_10,multiply(X_11,multiply(X_246,inverse(multiply(X_246,multiply(X_11,X_10)))))),
inference(resolve,[$cnf( $equal(multiply(X_11,multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11))))),multiply(X_11,multiply(X_246,inverse(multiply(X_246,multiply(X_11,X_10)))))) )],[refute_0_4360,refute_0_4363]) ).
cnf(refute_0_4365,plain,
multiply(multiply(X_10,X_11),multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11))))) = multiply(X_10,multiply(X_11,multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11)))))),
inference(subst,[],[associativity:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11))))))]]) ).
cnf(refute_0_4366,plain,
( multiply(X_10,multiply(X_11,multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11)))))) != multiply(X_10,multiply(X_11,multiply(X_246,inverse(multiply(X_246,multiply(X_11,X_10))))))
| multiply(multiply(X_10,X_11),multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11))))) != multiply(X_10,multiply(X_11,multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11))))))
| multiply(multiply(X_10,X_11),multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11))))) = multiply(X_10,multiply(X_11,multiply(X_246,inverse(multiply(X_246,multiply(X_11,X_10)))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_10,X_11),multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11))))))),bind(Y0,$fot(multiply(X_10,multiply(X_11,multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11)))))))),bind(Z0,$fot(multiply(X_10,multiply(X_11,multiply(X_246,inverse(multiply(X_246,multiply(X_11,X_10))))))))]]) ).
cnf(refute_0_4367,plain,
( multiply(X_10,multiply(X_11,multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11)))))) != multiply(X_10,multiply(X_11,multiply(X_246,inverse(multiply(X_246,multiply(X_11,X_10))))))
| multiply(multiply(X_10,X_11),multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11))))) = multiply(X_10,multiply(X_11,multiply(X_246,inverse(multiply(X_246,multiply(X_11,X_10)))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_10,X_11),multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11))))),multiply(X_10,multiply(X_11,multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11))))))) )],[refute_0_4365,refute_0_4366]) ).
cnf(refute_0_4368,plain,
multiply(multiply(X_10,X_11),multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11))))) = multiply(X_10,multiply(X_11,multiply(X_246,inverse(multiply(X_246,multiply(X_11,X_10)))))),
inference(resolve,[$cnf( $equal(multiply(X_10,multiply(X_11,multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11)))))),multiply(X_10,multiply(X_11,multiply(X_246,inverse(multiply(X_246,multiply(X_11,X_10))))))) )],[refute_0_4364,refute_0_4367]) ).
cnf(refute_0_4369,plain,
( multiply(multiply(X_10,X_11),multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11))))) != multiply(X_10,multiply(X_11,multiply(X_246,inverse(multiply(X_246,multiply(X_11,X_10))))))
| commutator(multiply(X_10,X_11),multiply(X_246,inverse(X_10))) != multiply(multiply(X_10,X_11),multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11)))))
| commutator(multiply(X_10,X_11),multiply(X_246,inverse(X_10))) = multiply(X_10,multiply(X_11,multiply(X_246,inverse(multiply(X_246,multiply(X_11,X_10)))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_10,X_11),multiply(X_246,inverse(X_10))),multiply(multiply(X_10,X_11),multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11)))))) ),[1],$fot(multiply(X_10,multiply(X_11,multiply(X_246,inverse(multiply(X_246,multiply(X_11,X_10)))))))]]) ).
cnf(refute_0_4370,plain,
( commutator(multiply(X_10,X_11),multiply(X_246,inverse(X_10))) != multiply(multiply(X_10,X_11),multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11)))))
| commutator(multiply(X_10,X_11),multiply(X_246,inverse(X_10))) = multiply(X_10,multiply(X_11,multiply(X_246,inverse(multiply(X_246,multiply(X_11,X_10)))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_10,X_11),multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11))))),multiply(X_10,multiply(X_11,multiply(X_246,inverse(multiply(X_246,multiply(X_11,X_10))))))) )],[refute_0_4368,refute_0_4369]) ).
cnf(refute_0_4371,plain,
commutator(multiply(X_10,X_11),multiply(X_246,inverse(X_10))) = multiply(X_10,multiply(X_11,multiply(X_246,inverse(multiply(X_246,multiply(X_11,X_10)))))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_10,X_11),multiply(X_246,inverse(X_10))),multiply(multiply(X_10,X_11),multiply(X_246,multiply(inverse(X_10),inverse(multiply(X_246,X_11)))))) )],[refute_0_4343,refute_0_4370]) ).
cnf(refute_0_4372,plain,
( commutator(multiply(X_10,X_11),multiply(X_246,inverse(X_10))) != multiply(X_10,multiply(X_11,multiply(X_246,inverse(multiply(X_246,multiply(X_11,X_10))))))
| multiply(X_10,multiply(X_11,multiply(X_246,inverse(multiply(X_246,multiply(X_11,X_10)))))) = commutator(multiply(X_10,X_11),multiply(X_246,inverse(X_10))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(multiply(X_10,X_11),multiply(X_246,inverse(X_10))))),bind(Y0,$fot(multiply(X_10,multiply(X_11,multiply(X_246,inverse(multiply(X_246,multiply(X_11,X_10))))))))]]) ).
cnf(refute_0_4373,plain,
multiply(X_10,multiply(X_11,multiply(X_246,inverse(multiply(X_246,multiply(X_11,X_10)))))) = commutator(multiply(X_10,X_11),multiply(X_246,inverse(X_10))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_10,X_11),multiply(X_246,inverse(X_10))),multiply(X_10,multiply(X_11,multiply(X_246,inverse(multiply(X_246,multiply(X_11,X_10))))))) )],[refute_0_4371,refute_0_4372]) ).
cnf(refute_0_4374,plain,
multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(commutator(X_283,X_282),X_281)))))) = commutator(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,inverse(X_281))),
inference(subst,[],[refute_0_4373:[bind(X_10,$fot(X_281)),bind(X_11,$fot(commutator(X_283,X_282))),bind(X_246,$fot(X_162))]]) ).
cnf(refute_0_4375,plain,
multiply(X_90,multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),inverse(X_90))) = multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),commutator(X_90,inverse(multiply(commutator(X_334,X_333),inverse(X_90))))),
inference(subst,[],[refute_0_933:[bind(X_10,$fot(inverse(multiply(commutator(X_334,X_333),inverse(X_90)))))]]) ).
cnf(refute_0_4376,plain,
multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334)) = multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),inverse(X_90)),
inference(subst,[],[refute_0_3215:[bind(X_255,$fot(inverse(X_90))),bind(X_65,$fot(X_333)),bind(X_66,$fot(X_334))]]) ).
cnf(refute_0_4377,plain,
( multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334)) != multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),inverse(X_90))
| multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),inverse(X_90)) = multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334)))),bind(Y0,$fot(multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),inverse(X_90))))]]) ).
cnf(refute_0_4378,plain,
multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),inverse(X_90)) = multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334)),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334)),multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),inverse(X_90))) )],[refute_0_4376,refute_0_4377]) ).
cnf(refute_0_4379,plain,
( multiply(X_90,multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),inverse(X_90))) != multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),commutator(X_90,inverse(multiply(commutator(X_334,X_333),inverse(X_90)))))
| multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),inverse(X_90)) != multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334))
| multiply(X_90,multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334))) = multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),commutator(X_90,inverse(multiply(commutator(X_334,X_333),inverse(X_90))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_90,multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),inverse(X_90))),multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),commutator(X_90,inverse(multiply(commutator(X_334,X_333),inverse(X_90)))))) ),[0,1],$fot(multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334)))]]) ).
cnf(refute_0_4380,plain,
( multiply(X_90,multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),inverse(X_90))) != multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),commutator(X_90,inverse(multiply(commutator(X_334,X_333),inverse(X_90)))))
| multiply(X_90,multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334))) = multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),commutator(X_90,inverse(multiply(commutator(X_334,X_333),inverse(X_90))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),inverse(X_90)),multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334))) )],[refute_0_4378,refute_0_4379]) ).
cnf(refute_0_4381,plain,
multiply(X_90,multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334))) = multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),commutator(X_90,inverse(multiply(commutator(X_334,X_333),inverse(X_90))))),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),inverse(X_90))),multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),commutator(X_90,inverse(multiply(commutator(X_334,X_333),inverse(X_90)))))) )],[refute_0_4375,refute_0_4380]) ).
cnf(refute_0_4382,plain,
commutator(commutator(X_334,X_333),X_90) = commutator(X_334,commutator(X_333,X_90)),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(X_334)),bind(Y,$fot(X_333)),bind(Z,$fot(X_90))]]) ).
cnf(refute_0_4383,plain,
commutator(inverse(X_90),commutator(X_334,X_333)) = commutator(commutator(X_334,X_333),X_90),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(X_90)),bind(X_110,$fot(commutator(X_334,X_333)))]]) ).
cnf(refute_0_4384,plain,
( commutator(commutator(X_334,X_333),X_90) != commutator(X_334,commutator(X_333,X_90))
| commutator(inverse(X_90),commutator(X_334,X_333)) != commutator(commutator(X_334,X_333),X_90)
| commutator(inverse(X_90),commutator(X_334,X_333)) = commutator(X_334,commutator(X_333,X_90)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(inverse(X_90),commutator(X_334,X_333)))),bind(Y0,$fot(commutator(commutator(X_334,X_333),X_90))),bind(Z0,$fot(commutator(X_334,commutator(X_333,X_90))))]]) ).
cnf(refute_0_4385,plain,
( commutator(commutator(X_334,X_333),X_90) != commutator(X_334,commutator(X_333,X_90))
| commutator(inverse(X_90),commutator(X_334,X_333)) = commutator(X_334,commutator(X_333,X_90)) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(commutator(X_334,X_333),X_90)) )],[refute_0_4383,refute_0_4384]) ).
cnf(refute_0_4386,plain,
commutator(inverse(X_90),commutator(X_334,X_333)) = commutator(X_334,commutator(X_333,X_90)),
inference(resolve,[$cnf( $equal(commutator(commutator(X_334,X_333),X_90),commutator(X_334,commutator(X_333,X_90))) )],[refute_0_4382,refute_0_4385]) ).
cnf(refute_0_4387,plain,
multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334)) = multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334)),
introduced(tautology,[refl,[$fot(multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334)))]]) ).
cnf(refute_0_4388,plain,
( multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334)) != multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334))
| commutator(inverse(X_90),commutator(X_334,X_333)) != commutator(X_334,commutator(X_333,X_90))
| multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334)) = multiply(commutator(X_334,commutator(X_333,X_90)),commutator(X_333,X_334)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334)),multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334))) ),[1,0],$fot(commutator(X_334,commutator(X_333,X_90)))]]) ).
cnf(refute_0_4389,plain,
( commutator(inverse(X_90),commutator(X_334,X_333)) != commutator(X_334,commutator(X_333,X_90))
| multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334)) = multiply(commutator(X_334,commutator(X_333,X_90)),commutator(X_333,X_334)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334)),multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334))) )],[refute_0_4387,refute_0_4388]) ).
cnf(refute_0_4390,plain,
multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334)) = multiply(commutator(X_334,commutator(X_333,X_90)),commutator(X_333,X_334)),
inference(resolve,[$cnf( $equal(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_334,commutator(X_333,X_90))) )],[refute_0_4386,refute_0_4389]) ).
cnf(refute_0_4391,plain,
multiply(X_90,multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334))) = multiply(X_90,multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334))),
introduced(tautology,[refl,[$fot(multiply(X_90,multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334))))]]) ).
cnf(refute_0_4392,plain,
( multiply(X_90,multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334))) != multiply(X_90,multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334)))
| multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334)) != multiply(commutator(X_334,commutator(X_333,X_90)),commutator(X_333,X_334))
| multiply(X_90,multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334))) = multiply(X_90,multiply(commutator(X_334,commutator(X_333,X_90)),commutator(X_333,X_334))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_90,multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334))),multiply(X_90,multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334)))) ),[1,1],$fot(multiply(commutator(X_334,commutator(X_333,X_90)),commutator(X_333,X_334)))]]) ).
cnf(refute_0_4393,plain,
( multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334)) != multiply(commutator(X_334,commutator(X_333,X_90)),commutator(X_333,X_334))
| multiply(X_90,multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334))) = multiply(X_90,multiply(commutator(X_334,commutator(X_333,X_90)),commutator(X_333,X_334))) ),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334))),multiply(X_90,multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334)))) )],[refute_0_4391,refute_0_4392]) ).
cnf(refute_0_4394,plain,
multiply(X_90,multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334))) = multiply(X_90,multiply(commutator(X_334,commutator(X_333,X_90)),commutator(X_333,X_334))),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334)),multiply(commutator(X_334,commutator(X_333,X_90)),commutator(X_333,X_334))) )],[refute_0_4390,refute_0_4393]) ).
cnf(refute_0_4395,plain,
( multiply(X_90,multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334))) != multiply(X_90,multiply(commutator(X_334,commutator(X_333,X_90)),commutator(X_333,X_334)))
| multiply(X_90,multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334))) != multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),commutator(X_90,inverse(multiply(commutator(X_334,X_333),inverse(X_90)))))
| multiply(X_90,multiply(commutator(X_334,commutator(X_333,X_90)),commutator(X_333,X_334))) = multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),commutator(X_90,inverse(multiply(commutator(X_334,X_333),inverse(X_90))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_90,multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334))),multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),commutator(X_90,inverse(multiply(commutator(X_334,X_333),inverse(X_90)))))) ),[0],$fot(multiply(X_90,multiply(commutator(X_334,commutator(X_333,X_90)),commutator(X_333,X_334))))]]) ).
cnf(refute_0_4396,plain,
( multiply(X_90,multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334))) != multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),commutator(X_90,inverse(multiply(commutator(X_334,X_333),inverse(X_90)))))
| multiply(X_90,multiply(commutator(X_334,commutator(X_333,X_90)),commutator(X_333,X_334))) = multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),commutator(X_90,inverse(multiply(commutator(X_334,X_333),inverse(X_90))))) ),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334))),multiply(X_90,multiply(commutator(X_334,commutator(X_333,X_90)),commutator(X_333,X_334)))) )],[refute_0_4394,refute_0_4395]) ).
cnf(refute_0_4397,plain,
inverse(multiply(X_90,multiply(commutator(X_334,X_333),inverse(X_90)))) = multiply(X_90,inverse(multiply(X_90,commutator(X_334,X_333)))),
inference(subst,[],[refute_0_860:[bind(X_58,$fot(X_90)),bind(X_89,$fot(X_90)),bind(X_90,$fot(commutator(X_334,X_333)))]]) ).
cnf(refute_0_4398,plain,
multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),inverse(X_90)) = inverse(multiply(X_90,multiply(commutator(X_334,X_333),inverse(X_90)))),
inference(subst,[],[refute_0_257:[bind(X_10,$fot(multiply(commutator(X_334,X_333),inverse(X_90)))),bind(X_58,$fot(X_90))]]) ).
cnf(refute_0_4399,plain,
( multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),inverse(X_90)) != inverse(multiply(X_90,multiply(commutator(X_334,X_333),inverse(X_90))))
| inverse(multiply(X_90,multiply(commutator(X_334,X_333),inverse(X_90)))) != multiply(X_90,inverse(multiply(X_90,commutator(X_334,X_333))))
| multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),inverse(X_90)) = multiply(X_90,inverse(multiply(X_90,commutator(X_334,X_333)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),inverse(X_90)))),bind(Y0,$fot(inverse(multiply(X_90,multiply(commutator(X_334,X_333),inverse(X_90)))))),bind(Z0,$fot(multiply(X_90,inverse(multiply(X_90,commutator(X_334,X_333))))))]]) ).
cnf(refute_0_4400,plain,
( inverse(multiply(X_90,multiply(commutator(X_334,X_333),inverse(X_90)))) != multiply(X_90,inverse(multiply(X_90,commutator(X_334,X_333))))
| multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),inverse(X_90)) = multiply(X_90,inverse(multiply(X_90,commutator(X_334,X_333)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),inverse(X_90)),inverse(multiply(X_90,multiply(commutator(X_334,X_333),inverse(X_90))))) )],[refute_0_4398,refute_0_4399]) ).
cnf(refute_0_4401,plain,
multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),inverse(X_90)) = multiply(X_90,inverse(multiply(X_90,commutator(X_334,X_333)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_90,multiply(commutator(X_334,X_333),inverse(X_90)))),multiply(X_90,inverse(multiply(X_90,commutator(X_334,X_333))))) )],[refute_0_4397,refute_0_4400]) ).
cnf(refute_0_4402,plain,
multiply(X_90,multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),inverse(X_90))) = multiply(X_90,multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),inverse(X_90))),
introduced(tautology,[refl,[$fot(multiply(X_90,multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),inverse(X_90))))]]) ).
cnf(refute_0_4403,plain,
( multiply(X_90,multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),inverse(X_90))) != multiply(X_90,multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),inverse(X_90)))
| multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),inverse(X_90)) != multiply(X_90,inverse(multiply(X_90,commutator(X_334,X_333))))
| multiply(X_90,multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),inverse(X_90))) = multiply(X_90,multiply(X_90,inverse(multiply(X_90,commutator(X_334,X_333))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_90,multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),inverse(X_90))),multiply(X_90,multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),inverse(X_90)))) ),[1,1],$fot(multiply(X_90,inverse(multiply(X_90,commutator(X_334,X_333)))))]]) ).
cnf(refute_0_4404,plain,
( multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),inverse(X_90)) != multiply(X_90,inverse(multiply(X_90,commutator(X_334,X_333))))
| multiply(X_90,multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),inverse(X_90))) = multiply(X_90,multiply(X_90,inverse(multiply(X_90,commutator(X_334,X_333))))) ),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),inverse(X_90))),multiply(X_90,multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),inverse(X_90)))) )],[refute_0_4402,refute_0_4403]) ).
cnf(refute_0_4405,plain,
multiply(X_90,multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),inverse(X_90))) = multiply(X_90,multiply(X_90,inverse(multiply(X_90,commutator(X_334,X_333))))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),inverse(X_90)),multiply(X_90,inverse(multiply(X_90,commutator(X_334,X_333))))) )],[refute_0_4401,refute_0_4404]) ).
cnf(refute_0_4406,plain,
multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231)))) = multiply(multiply(X_232,multiply(X_231,inverse(X_232))),commutator(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231)))),
inference(subst,[],[refute_0_254:[bind(Y,$fot(multiply(X_231,commutator(X_232,X_231)))),bind(X_27,$fot(multiply(X_232,multiply(X_231,inverse(X_232)))))]]) ).
cnf(refute_0_4407,plain,
commutator(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)),inverse(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))) = identity,
inference(subst,[],[refute_0_347:[bind(X,$fot(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))))]]) ).
cnf(refute_0_4408,plain,
( commutator(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)),inverse(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))) != identity
| inverse(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))) != multiply(X_89,inverse(X_90))
| commutator(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)),multiply(X_89,inverse(X_90))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)),inverse(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))),identity) ),[0,1],$fot(multiply(X_89,inverse(X_90)))]]) ).
cnf(refute_0_4409,plain,
( commutator(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)),inverse(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))) != identity
| commutator(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)),multiply(X_89,inverse(X_90))) = identity ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))),multiply(X_89,inverse(X_90))) )],[refute_0_824,refute_0_4408]) ).
cnf(refute_0_4410,plain,
commutator(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)),multiply(X_89,inverse(X_90))) = identity,
inference(resolve,[$cnf( $equal(commutator(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)),inverse(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))),identity) )],[refute_0_4407,refute_0_4409]) ).
cnf(refute_0_4411,plain,
commutator(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)),multiply(X_89,inverse(X_90))) = commutator(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)),multiply(X_89,inverse(X_90))),
introduced(tautology,[refl,[$fot(commutator(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)),multiply(X_89,inverse(X_90))))]]) ).
cnf(refute_0_4412,plain,
( multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)) != multiply(X_90,inverse(X_89))
| commutator(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)),multiply(X_89,inverse(X_90))) != commutator(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)),multiply(X_89,inverse(X_90)))
| commutator(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)),multiply(X_89,inverse(X_90))) = commutator(multiply(X_90,inverse(X_89)),multiply(X_89,inverse(X_90))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)),multiply(X_89,inverse(X_90))),commutator(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)),multiply(X_89,inverse(X_90)))) ),[1,0],$fot(multiply(X_90,inverse(X_89)))]]) ).
cnf(refute_0_4413,plain,
( multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)) != multiply(X_90,inverse(X_89))
| commutator(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)),multiply(X_89,inverse(X_90))) = commutator(multiply(X_90,inverse(X_89)),multiply(X_89,inverse(X_90))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)),multiply(X_89,inverse(X_90))),commutator(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)),multiply(X_89,inverse(X_90)))) )],[refute_0_4411,refute_0_4412]) ).
cnf(refute_0_4414,plain,
commutator(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)),multiply(X_89,inverse(X_90))) = commutator(multiply(X_90,inverse(X_89)),multiply(X_89,inverse(X_90))),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)),multiply(X_90,inverse(X_89))) )],[refute_0_849,refute_0_4413]) ).
cnf(refute_0_4415,plain,
( commutator(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)),multiply(X_89,inverse(X_90))) != commutator(multiply(X_90,inverse(X_89)),multiply(X_89,inverse(X_90)))
| commutator(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)),multiply(X_89,inverse(X_90))) != identity
| commutator(multiply(X_90,inverse(X_89)),multiply(X_89,inverse(X_90))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)),multiply(X_89,inverse(X_90))),identity) ),[0],$fot(commutator(multiply(X_90,inverse(X_89)),multiply(X_89,inverse(X_90))))]]) ).
cnf(refute_0_4416,plain,
( commutator(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)),multiply(X_89,inverse(X_90))) != identity
| commutator(multiply(X_90,inverse(X_89)),multiply(X_89,inverse(X_90))) = identity ),
inference(resolve,[$cnf( $equal(commutator(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)),multiply(X_89,inverse(X_90))),commutator(multiply(X_90,inverse(X_89)),multiply(X_89,inverse(X_90)))) )],[refute_0_4414,refute_0_4415]) ).
cnf(refute_0_4417,plain,
commutator(multiply(X_90,inverse(X_89)),multiply(X_89,inverse(X_90))) = identity,
inference(resolve,[$cnf( $equal(commutator(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)),multiply(X_89,inverse(X_90))),identity) )],[refute_0_4410,refute_0_4416]) ).
cnf(refute_0_4418,plain,
commutator(multiply(inverse(multiply(X_134,inverse(X_89))),inverse(X_89)),multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89)))))) = identity,
inference(subst,[],[refute_0_4417:[bind(X_90,$fot(inverse(multiply(X_134,inverse(X_89)))))]]) ).
cnf(refute_0_4419,plain,
inverse(multiply(X_134,commutator(X_134,inverse(X_89)))) = multiply(inverse(multiply(X_134,inverse(X_89))),inverse(X_89)),
inference(subst,[],[refute_0_814:[bind(X_127,$fot(inverse(X_89))),bind(X_128,$fot(X_134))]]) ).
cnf(refute_0_4420,plain,
( inverse(multiply(X_134,commutator(X_134,inverse(X_89)))) != multiply(inverse(multiply(X_134,inverse(X_89))),inverse(X_89))
| multiply(inverse(multiply(X_134,inverse(X_89))),inverse(X_89)) = inverse(multiply(X_134,commutator(X_134,inverse(X_89)))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(inverse(multiply(X_134,commutator(X_134,inverse(X_89)))))),bind(Y0,$fot(multiply(inverse(multiply(X_134,inverse(X_89))),inverse(X_89))))]]) ).
cnf(refute_0_4421,plain,
multiply(inverse(multiply(X_134,inverse(X_89))),inverse(X_89)) = inverse(multiply(X_134,commutator(X_134,inverse(X_89)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_134,commutator(X_134,inverse(X_89)))),multiply(inverse(multiply(X_134,inverse(X_89))),inverse(X_89))) )],[refute_0_4419,refute_0_4420]) ).
cnf(refute_0_4422,plain,
( multiply(inverse(multiply(X_134,inverse(X_89))),inverse(X_89)) != inverse(multiply(X_134,commutator(X_134,inverse(X_89))))
| commutator(multiply(inverse(multiply(X_134,inverse(X_89))),inverse(X_89)),multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89)))))) != identity
| commutator(inverse(multiply(X_134,commutator(X_134,inverse(X_89)))),multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89)))))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(multiply(X_134,inverse(X_89))),inverse(X_89)),multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89)))))),identity) ),[0,0],$fot(inverse(multiply(X_134,commutator(X_134,inverse(X_89)))))]]) ).
cnf(refute_0_4423,plain,
( commutator(multiply(inverse(multiply(X_134,inverse(X_89))),inverse(X_89)),multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89)))))) != identity
| commutator(inverse(multiply(X_134,commutator(X_134,inverse(X_89)))),multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89)))))) = identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_134,inverse(X_89))),inverse(X_89)),inverse(multiply(X_134,commutator(X_134,inverse(X_89))))) )],[refute_0_4421,refute_0_4422]) ).
cnf(refute_0_4424,plain,
commutator(inverse(multiply(X_134,commutator(X_134,inverse(X_89)))),multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89)))))) = identity,
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(multiply(X_134,inverse(X_89))),inverse(X_89)),multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89)))))),identity) )],[refute_0_4418,refute_0_4423]) ).
cnf(refute_0_4425,plain,
commutator(X_134,inverse(X_89)) = commutator(X_89,X_134),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(X_89)),bind(X_110,$fot(X_134))]]) ).
cnf(refute_0_4426,plain,
multiply(X_134,commutator(X_134,inverse(X_89))) = multiply(X_134,commutator(X_134,inverse(X_89))),
introduced(tautology,[refl,[$fot(multiply(X_134,commutator(X_134,inverse(X_89))))]]) ).
cnf(refute_0_4427,plain,
( multiply(X_134,commutator(X_134,inverse(X_89))) != multiply(X_134,commutator(X_134,inverse(X_89)))
| commutator(X_134,inverse(X_89)) != commutator(X_89,X_134)
| multiply(X_134,commutator(X_134,inverse(X_89))) = multiply(X_134,commutator(X_89,X_134)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_134,commutator(X_134,inverse(X_89))),multiply(X_134,commutator(X_134,inverse(X_89)))) ),[1,1],$fot(commutator(X_89,X_134))]]) ).
cnf(refute_0_4428,plain,
( commutator(X_134,inverse(X_89)) != commutator(X_89,X_134)
| multiply(X_134,commutator(X_134,inverse(X_89))) = multiply(X_134,commutator(X_89,X_134)) ),
inference(resolve,[$cnf( $equal(multiply(X_134,commutator(X_134,inverse(X_89))),multiply(X_134,commutator(X_134,inverse(X_89)))) )],[refute_0_4426,refute_0_4427]) ).
cnf(refute_0_4429,plain,
multiply(X_134,commutator(X_134,inverse(X_89))) = multiply(X_134,commutator(X_89,X_134)),
inference(resolve,[$cnf( $equal(commutator(X_134,inverse(X_89)),commutator(X_89,X_134)) )],[refute_0_4425,refute_0_4428]) ).
cnf(refute_0_4430,plain,
commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_134,inverse(X_89)))) = commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_134,inverse(X_89)))),
introduced(tautology,[refl,[$fot(commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_134,inverse(X_89)))))]]) ).
cnf(refute_0_4431,plain,
( multiply(X_134,commutator(X_134,inverse(X_89))) != multiply(X_134,commutator(X_89,X_134))
| commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_134,inverse(X_89)))) != commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_134,inverse(X_89))))
| commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_134,inverse(X_89)))) = commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_89,X_134))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_134,inverse(X_89)))),commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_134,inverse(X_89))))) ),[1,1],$fot(multiply(X_134,commutator(X_89,X_134)))]]) ).
cnf(refute_0_4432,plain,
( multiply(X_134,commutator(X_134,inverse(X_89))) != multiply(X_134,commutator(X_89,X_134))
| commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_134,inverse(X_89)))) = commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_89,X_134))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_134,inverse(X_89)))),commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_134,inverse(X_89))))) )],[refute_0_4430,refute_0_4431]) ).
cnf(refute_0_4433,plain,
commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_134,inverse(X_89)))) = commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_89,X_134))),
inference(resolve,[$cnf( $equal(multiply(X_134,commutator(X_134,inverse(X_89))),multiply(X_134,commutator(X_89,X_134))) )],[refute_0_4429,refute_0_4432]) ).
cnf(refute_0_4434,plain,
inverse(inverse(multiply(X_134,inverse(X_89)))) = multiply(X_134,inverse(X_89)),
inference(subst,[],[refute_0_152:[bind(X_27,$fot(multiply(X_134,inverse(X_89))))]]) ).
cnf(refute_0_4435,plain,
multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89))))) = multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89))))),
introduced(tautology,[refl,[$fot(multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89))))))]]) ).
cnf(refute_0_4436,plain,
( multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89))))) != multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89)))))
| inverse(inverse(multiply(X_134,inverse(X_89)))) != multiply(X_134,inverse(X_89))
| multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89))))) = multiply(X_89,multiply(X_134,inverse(X_89))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89))))),multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89)))))) ),[1,1],$fot(multiply(X_134,inverse(X_89)))]]) ).
cnf(refute_0_4437,plain,
( inverse(inverse(multiply(X_134,inverse(X_89)))) != multiply(X_134,inverse(X_89))
| multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89))))) = multiply(X_89,multiply(X_134,inverse(X_89))) ),
inference(resolve,[$cnf( $equal(multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89))))),multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89)))))) )],[refute_0_4435,refute_0_4436]) ).
cnf(refute_0_4438,plain,
multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89))))) = multiply(X_89,multiply(X_134,inverse(X_89))),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_134,inverse(X_89)))),multiply(X_134,inverse(X_89))) )],[refute_0_4434,refute_0_4437]) ).
cnf(refute_0_4439,plain,
commutator(multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89))))),multiply(X_134,commutator(X_134,inverse(X_89)))) = commutator(multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89))))),multiply(X_134,commutator(X_134,inverse(X_89)))),
introduced(tautology,[refl,[$fot(commutator(multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89))))),multiply(X_134,commutator(X_134,inverse(X_89)))))]]) ).
cnf(refute_0_4440,plain,
( multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89))))) != multiply(X_89,multiply(X_134,inverse(X_89)))
| commutator(multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89))))),multiply(X_134,commutator(X_134,inverse(X_89)))) != commutator(multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89))))),multiply(X_134,commutator(X_134,inverse(X_89))))
| commutator(multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89))))),multiply(X_134,commutator(X_134,inverse(X_89)))) = commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_134,inverse(X_89)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89))))),multiply(X_134,commutator(X_134,inverse(X_89)))),commutator(multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89))))),multiply(X_134,commutator(X_134,inverse(X_89))))) ),[1,0],$fot(multiply(X_89,multiply(X_134,inverse(X_89))))]]) ).
cnf(refute_0_4441,plain,
( multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89))))) != multiply(X_89,multiply(X_134,inverse(X_89)))
| commutator(multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89))))),multiply(X_134,commutator(X_134,inverse(X_89)))) = commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_134,inverse(X_89)))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89))))),multiply(X_134,commutator(X_134,inverse(X_89)))),commutator(multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89))))),multiply(X_134,commutator(X_134,inverse(X_89))))) )],[refute_0_4439,refute_0_4440]) ).
cnf(refute_0_4442,plain,
commutator(multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89))))),multiply(X_134,commutator(X_134,inverse(X_89)))) = commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_134,inverse(X_89)))),
inference(resolve,[$cnf( $equal(multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89))))),multiply(X_89,multiply(X_134,inverse(X_89)))) )],[refute_0_4438,refute_0_4441]) ).
cnf(refute_0_4443,plain,
( commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_134,inverse(X_89)))) != commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_89,X_134)))
| commutator(multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89))))),multiply(X_134,commutator(X_134,inverse(X_89)))) != commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_134,inverse(X_89))))
| commutator(multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89))))),multiply(X_134,commutator(X_134,inverse(X_89)))) = commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_89,X_134))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89))))),multiply(X_134,commutator(X_134,inverse(X_89)))))),bind(Y0,$fot(commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_134,inverse(X_89)))))),bind(Z0,$fot(commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_89,X_134)))))]]) ).
cnf(refute_0_4444,plain,
( commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_134,inverse(X_89)))) != commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_89,X_134)))
| commutator(multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89))))),multiply(X_134,commutator(X_134,inverse(X_89)))) = commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_89,X_134))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89))))),multiply(X_134,commutator(X_134,inverse(X_89)))),commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_134,inverse(X_89))))) )],[refute_0_4442,refute_0_4443]) ).
cnf(refute_0_4445,plain,
commutator(multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89))))),multiply(X_134,commutator(X_134,inverse(X_89)))) = commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_89,X_134))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_134,inverse(X_89)))),commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_89,X_134)))) )],[refute_0_4433,refute_0_4444]) ).
cnf(refute_0_4446,plain,
commutator(inverse(multiply(X_134,commutator(X_134,inverse(X_89)))),multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89)))))) = commutator(multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89))))),multiply(X_134,commutator(X_134,inverse(X_89)))),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(multiply(X_134,commutator(X_134,inverse(X_89))))),bind(X_110,$fot(multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89)))))))]]) ).
cnf(refute_0_4447,plain,
( commutator(multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89))))),multiply(X_134,commutator(X_134,inverse(X_89)))) != commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_89,X_134)))
| commutator(inverse(multiply(X_134,commutator(X_134,inverse(X_89)))),multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89)))))) != commutator(multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89))))),multiply(X_134,commutator(X_134,inverse(X_89))))
| commutator(inverse(multiply(X_134,commutator(X_134,inverse(X_89)))),multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89)))))) = commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_89,X_134))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(inverse(multiply(X_134,commutator(X_134,inverse(X_89)))),multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89)))))))),bind(Y0,$fot(commutator(multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89))))),multiply(X_134,commutator(X_134,inverse(X_89)))))),bind(Z0,$fot(commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_89,X_134)))))]]) ).
cnf(refute_0_4448,plain,
( commutator(multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89))))),multiply(X_134,commutator(X_134,inverse(X_89)))) != commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_89,X_134)))
| commutator(inverse(multiply(X_134,commutator(X_134,inverse(X_89)))),multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89)))))) = commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_89,X_134))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_134,commutator(X_134,inverse(X_89)))),multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89)))))),commutator(multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89))))),multiply(X_134,commutator(X_134,inverse(X_89))))) )],[refute_0_4446,refute_0_4447]) ).
cnf(refute_0_4449,plain,
commutator(inverse(multiply(X_134,commutator(X_134,inverse(X_89)))),multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89)))))) = commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_89,X_134))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89))))),multiply(X_134,commutator(X_134,inverse(X_89)))),commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_89,X_134)))) )],[refute_0_4445,refute_0_4448]) ).
cnf(refute_0_4450,plain,
( commutator(inverse(multiply(X_134,commutator(X_134,inverse(X_89)))),multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89)))))) != commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_89,X_134)))
| commutator(inverse(multiply(X_134,commutator(X_134,inverse(X_89)))),multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89)))))) != identity
| commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_89,X_134))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(multiply(X_134,commutator(X_134,inverse(X_89)))),multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89)))))),identity) ),[0],$fot(commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_89,X_134))))]]) ).
cnf(refute_0_4451,plain,
( commutator(inverse(multiply(X_134,commutator(X_134,inverse(X_89)))),multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89)))))) != identity
| commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_89,X_134))) = identity ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_134,commutator(X_134,inverse(X_89)))),multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89)))))),commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_89,X_134)))) )],[refute_0_4449,refute_0_4450]) ).
cnf(refute_0_4452,plain,
commutator(multiply(X_89,multiply(X_134,inverse(X_89))),multiply(X_134,commutator(X_89,X_134))) = identity,
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_134,commutator(X_134,inverse(X_89)))),multiply(X_89,inverse(inverse(multiply(X_134,inverse(X_89)))))),identity) )],[refute_0_4424,refute_0_4451]) ).
cnf(refute_0_4453,plain,
commutator(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231))) = identity,
inference(subst,[],[refute_0_4452:[bind(X_134,$fot(X_231)),bind(X_89,$fot(X_232))]]) ).
cnf(refute_0_4454,plain,
( multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231)))) != multiply(multiply(X_232,multiply(X_231,inverse(X_232))),commutator(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231))))
| commutator(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231))) != identity
| multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231)))) = multiply(multiply(X_232,multiply(X_231,inverse(X_232))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231)))),multiply(multiply(X_232,multiply(X_231,inverse(X_232))),commutator(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231))))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_4455,plain,
( multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231)))) != multiply(multiply(X_232,multiply(X_231,inverse(X_232))),commutator(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231))))
| multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231)))) = multiply(multiply(X_232,multiply(X_231,inverse(X_232))),identity) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231))),identity) )],[refute_0_4453,refute_0_4454]) ).
cnf(refute_0_4456,plain,
multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231)))) = multiply(multiply(X_232,multiply(X_231,inverse(X_232))),identity),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231)))),multiply(multiply(X_232,multiply(X_231,inverse(X_232))),commutator(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231))))) )],[refute_0_4406,refute_0_4455]) ).
cnf(refute_0_4457,plain,
multiply(inverse(multiply(inverse(X_150),X_149)),multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))) = multiply(multiply(X_150,inverse(X_149)),commutator(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))),
inference(subst,[],[refute_0_254:[bind(Y,$fot(multiply(inverse(X_150),X_149))),bind(X_27,$fot(multiply(X_150,inverse(X_149))))]]) ).
cnf(refute_0_4458,plain,
identity = commutator(multiply(X_123,inverse(multiply(X_123,multiply(inverse(X_123),Z)))),multiply(inverse(X_123),Z)),
inference(subst,[],[refute_0_1289:[bind(X_10,$fot(X_123)),bind(X_106,$fot(multiply(inverse(X_123),Z)))]]) ).
cnf(refute_0_4459,plain,
Z = multiply(X_123,multiply(inverse(X_123),Z)),
inference(subst,[],[refute_0_141:[bind(X,$fot(X_123))]]) ).
cnf(refute_0_4460,plain,
( Z != multiply(X_123,multiply(inverse(X_123),Z))
| multiply(X_123,multiply(inverse(X_123),Z)) = Z ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(Z)),bind(Y0,$fot(multiply(X_123,multiply(inverse(X_123),Z))))]]) ).
cnf(refute_0_4461,plain,
multiply(X_123,multiply(inverse(X_123),Z)) = Z,
inference(resolve,[$cnf( $equal(Z,multiply(X_123,multiply(inverse(X_123),Z))) )],[refute_0_4459,refute_0_4460]) ).
cnf(refute_0_4462,plain,
( multiply(X_123,multiply(inverse(X_123),Z)) != Z
| identity != commutator(multiply(X_123,inverse(multiply(X_123,multiply(inverse(X_123),Z)))),multiply(inverse(X_123),Z))
| identity = commutator(multiply(X_123,inverse(Z)),multiply(inverse(X_123),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(multiply(X_123,inverse(multiply(X_123,multiply(inverse(X_123),Z)))),multiply(inverse(X_123),Z))) ),[1,0,1,0],$fot(Z)]]) ).
cnf(refute_0_4463,plain,
( identity != commutator(multiply(X_123,inverse(multiply(X_123,multiply(inverse(X_123),Z)))),multiply(inverse(X_123),Z))
| identity = commutator(multiply(X_123,inverse(Z)),multiply(inverse(X_123),Z)) ),
inference(resolve,[$cnf( $equal(multiply(X_123,multiply(inverse(X_123),Z)),Z) )],[refute_0_4461,refute_0_4462]) ).
cnf(refute_0_4464,plain,
identity = commutator(multiply(X_123,inverse(Z)),multiply(inverse(X_123),Z)),
inference(resolve,[$cnf( $equal(identity,commutator(multiply(X_123,inverse(multiply(X_123,multiply(inverse(X_123),Z)))),multiply(inverse(X_123),Z))) )],[refute_0_4458,refute_0_4463]) ).
cnf(refute_0_4465,plain,
identity = commutator(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149)),
inference(subst,[],[refute_0_4464:[bind(Z,$fot(X_149)),bind(X_123,$fot(X_150))]]) ).
cnf(refute_0_4466,plain,
( identity != commutator(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))
| commutator(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149)) = identity ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(identity)),bind(Y0,$fot(commutator(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))))]]) ).
cnf(refute_0_4467,plain,
commutator(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149)) = identity,
inference(resolve,[$cnf( $equal(identity,commutator(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))) )],[refute_0_4465,refute_0_4466]) ).
cnf(refute_0_4468,plain,
( multiply(inverse(multiply(inverse(X_150),X_149)),multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))) != multiply(multiply(X_150,inverse(X_149)),commutator(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149)))
| commutator(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149)) != identity
| multiply(inverse(multiply(inverse(X_150),X_149)),multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))) = multiply(multiply(X_150,inverse(X_149)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_150),X_149)),multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))),multiply(multiply(X_150,inverse(X_149)),commutator(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_4469,plain,
( multiply(inverse(multiply(inverse(X_150),X_149)),multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))) != multiply(multiply(X_150,inverse(X_149)),commutator(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149)))
| multiply(inverse(multiply(inverse(X_150),X_149)),multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))) = multiply(multiply(X_150,inverse(X_149)),identity) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149)),identity) )],[refute_0_4467,refute_0_4468]) ).
cnf(refute_0_4470,plain,
multiply(inverse(multiply(inverse(X_150),X_149)),multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))) = multiply(multiply(X_150,inverse(X_149)),identity),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_150),X_149)),multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))),multiply(multiply(X_150,inverse(X_149)),commutator(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149)))) )],[refute_0_4457,refute_0_4469]) ).
cnf(refute_0_4471,plain,
multiply(X_150,multiply(inverse(multiply(X_150,X_149)),X_149)) = commutator(X_149,X_150),
inference(subst,[],[refute_0_1907:[bind(X_15,$fot(X_150)),bind(X_16,$fot(X_149))]]) ).
cnf(refute_0_4472,plain,
multiply(inverse(X_149),multiply(inverse(X_150),X_149)) = multiply(inverse(multiply(X_150,X_149)),X_149),
inference(subst,[],[refute_0_242:[bind(Z,$fot(X_149)),bind(X_62,$fot(X_149)),bind(X_63,$fot(X_150))]]) ).
cnf(refute_0_4473,plain,
multiply(X_150,multiply(inverse(X_149),multiply(inverse(X_150),X_149))) = multiply(X_150,multiply(inverse(X_149),multiply(inverse(X_150),X_149))),
introduced(tautology,[refl,[$fot(multiply(X_150,multiply(inverse(X_149),multiply(inverse(X_150),X_149))))]]) ).
cnf(refute_0_4474,plain,
( multiply(X_150,multiply(inverse(X_149),multiply(inverse(X_150),X_149))) != multiply(X_150,multiply(inverse(X_149),multiply(inverse(X_150),X_149)))
| multiply(inverse(X_149),multiply(inverse(X_150),X_149)) != multiply(inverse(multiply(X_150,X_149)),X_149)
| multiply(X_150,multiply(inverse(X_149),multiply(inverse(X_150),X_149))) = multiply(X_150,multiply(inverse(multiply(X_150,X_149)),X_149)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_150,multiply(inverse(X_149),multiply(inverse(X_150),X_149))),multiply(X_150,multiply(inverse(X_149),multiply(inverse(X_150),X_149)))) ),[1,1],$fot(multiply(inverse(multiply(X_150,X_149)),X_149))]]) ).
cnf(refute_0_4475,plain,
( multiply(inverse(X_149),multiply(inverse(X_150),X_149)) != multiply(inverse(multiply(X_150,X_149)),X_149)
| multiply(X_150,multiply(inverse(X_149),multiply(inverse(X_150),X_149))) = multiply(X_150,multiply(inverse(multiply(X_150,X_149)),X_149)) ),
inference(resolve,[$cnf( $equal(multiply(X_150,multiply(inverse(X_149),multiply(inverse(X_150),X_149))),multiply(X_150,multiply(inverse(X_149),multiply(inverse(X_150),X_149)))) )],[refute_0_4473,refute_0_4474]) ).
cnf(refute_0_4476,plain,
multiply(X_150,multiply(inverse(X_149),multiply(inverse(X_150),X_149))) = multiply(X_150,multiply(inverse(multiply(X_150,X_149)),X_149)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_149),multiply(inverse(X_150),X_149)),multiply(inverse(multiply(X_150,X_149)),X_149)) )],[refute_0_4472,refute_0_4475]) ).
cnf(refute_0_4477,plain,
( multiply(X_150,multiply(inverse(X_149),multiply(inverse(X_150),X_149))) != multiply(X_150,multiply(inverse(multiply(X_150,X_149)),X_149))
| multiply(X_150,multiply(inverse(multiply(X_150,X_149)),X_149)) != commutator(X_149,X_150)
| multiply(X_150,multiply(inverse(X_149),multiply(inverse(X_150),X_149))) = commutator(X_149,X_150) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_150,multiply(inverse(X_149),multiply(inverse(X_150),X_149))))),bind(Y0,$fot(multiply(X_150,multiply(inverse(multiply(X_150,X_149)),X_149)))),bind(Z0,$fot(commutator(X_149,X_150)))]]) ).
cnf(refute_0_4478,plain,
( multiply(X_150,multiply(inverse(multiply(X_150,X_149)),X_149)) != commutator(X_149,X_150)
| multiply(X_150,multiply(inverse(X_149),multiply(inverse(X_150),X_149))) = commutator(X_149,X_150) ),
inference(resolve,[$cnf( $equal(multiply(X_150,multiply(inverse(X_149),multiply(inverse(X_150),X_149))),multiply(X_150,multiply(inverse(multiply(X_150,X_149)),X_149))) )],[refute_0_4476,refute_0_4477]) ).
cnf(refute_0_4479,plain,
multiply(X_150,multiply(inverse(X_149),multiply(inverse(X_150),X_149))) = commutator(X_149,X_150),
inference(resolve,[$cnf( $equal(multiply(X_150,multiply(inverse(multiply(X_150,X_149)),X_149)),commutator(X_149,X_150)) )],[refute_0_4471,refute_0_4478]) ).
cnf(refute_0_4480,plain,
multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149)) = multiply(X_150,multiply(inverse(X_149),multiply(inverse(X_150),X_149))),
inference(subst,[],[associativity:[bind(X,$fot(X_150)),bind(Y,$fot(inverse(X_149))),bind(Z,$fot(multiply(inverse(X_150),X_149)))]]) ).
cnf(refute_0_4481,plain,
( multiply(X_150,multiply(inverse(X_149),multiply(inverse(X_150),X_149))) != commutator(X_149,X_150)
| multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149)) != multiply(X_150,multiply(inverse(X_149),multiply(inverse(X_150),X_149)))
| multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149)) = commutator(X_149,X_150) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149)))),bind(Y0,$fot(multiply(X_150,multiply(inverse(X_149),multiply(inverse(X_150),X_149))))),bind(Z0,$fot(commutator(X_149,X_150)))]]) ).
cnf(refute_0_4482,plain,
( multiply(X_150,multiply(inverse(X_149),multiply(inverse(X_150),X_149))) != commutator(X_149,X_150)
| multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149)) = commutator(X_149,X_150) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149)),multiply(X_150,multiply(inverse(X_149),multiply(inverse(X_150),X_149)))) )],[refute_0_4480,refute_0_4481]) ).
cnf(refute_0_4483,plain,
multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149)) = commutator(X_149,X_150),
inference(resolve,[$cnf( $equal(multiply(X_150,multiply(inverse(X_149),multiply(inverse(X_150),X_149))),commutator(X_149,X_150)) )],[refute_0_4479,refute_0_4482]) ).
cnf(refute_0_4484,plain,
multiply(X_150,multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))) = multiply(X_150,multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))),
introduced(tautology,[refl,[$fot(multiply(X_150,multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))))]]) ).
cnf(refute_0_4485,plain,
( multiply(X_150,multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))) != multiply(X_150,multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149)))
| multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149)) != commutator(X_149,X_150)
| multiply(X_150,multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))) = multiply(X_150,commutator(X_149,X_150)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_150,multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))),multiply(X_150,multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149)))) ),[1,1],$fot(commutator(X_149,X_150))]]) ).
cnf(refute_0_4486,plain,
( multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149)) != commutator(X_149,X_150)
| multiply(X_150,multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))) = multiply(X_150,commutator(X_149,X_150)) ),
inference(resolve,[$cnf( $equal(multiply(X_150,multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))),multiply(X_150,multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149)))) )],[refute_0_4484,refute_0_4485]) ).
cnf(refute_0_4487,plain,
multiply(X_150,multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))) = multiply(X_150,commutator(X_149,X_150)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149)),commutator(X_149,X_150)) )],[refute_0_4483,refute_0_4486]) ).
cnf(refute_0_4488,plain,
multiply(inverse(X_149),multiply(X_150,multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149)))) = multiply(inverse(X_149),multiply(X_150,multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149)))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_149),multiply(X_150,multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149)))))]]) ).
cnf(refute_0_4489,plain,
( multiply(X_150,multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))) != multiply(X_150,commutator(X_149,X_150))
| multiply(inverse(X_149),multiply(X_150,multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149)))) != multiply(inverse(X_149),multiply(X_150,multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))))
| multiply(inverse(X_149),multiply(X_150,multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149)))) = multiply(inverse(X_149),multiply(X_150,commutator(X_149,X_150))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_149),multiply(X_150,multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149)))),multiply(inverse(X_149),multiply(X_150,multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))))) ),[1,1],$fot(multiply(X_150,commutator(X_149,X_150)))]]) ).
cnf(refute_0_4490,plain,
( multiply(X_150,multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))) != multiply(X_150,commutator(X_149,X_150))
| multiply(inverse(X_149),multiply(X_150,multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149)))) = multiply(inverse(X_149),multiply(X_150,commutator(X_149,X_150))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_149),multiply(X_150,multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149)))),multiply(inverse(X_149),multiply(X_150,multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))))) )],[refute_0_4488,refute_0_4489]) ).
cnf(refute_0_4491,plain,
multiply(inverse(X_149),multiply(X_150,multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149)))) = multiply(inverse(X_149),multiply(X_150,commutator(X_149,X_150))),
inference(resolve,[$cnf( $equal(multiply(X_150,multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))),multiply(X_150,commutator(X_149,X_150))) )],[refute_0_4487,refute_0_4490]) ).
cnf(refute_0_4492,plain,
multiply(inverse(multiply(inverse(X_61),Z)),multiply(X_128,multiply(inverse(X_61),Z))) = multiply(X_128,commutator(X_128,multiply(inverse(X_61),Z))),
inference(subst,[],[refute_0_254:[bind(Y,$fot(multiply(inverse(X_61),Z))),bind(X_27,$fot(X_128))]]) ).
cnf(refute_0_4493,plain,
( multiply(inverse(multiply(inverse(X_61),Z)),multiply(X_128,multiply(inverse(X_61),Z))) != multiply(X_128,commutator(X_128,multiply(inverse(X_61),Z)))
| inverse(multiply(inverse(X_61),Z)) != multiply(inverse(Z),X_61)
| multiply(multiply(inverse(Z),X_61),multiply(X_128,multiply(inverse(X_61),Z))) = multiply(X_128,commutator(X_128,multiply(inverse(X_61),Z))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_61),Z)),multiply(X_128,multiply(inverse(X_61),Z))),multiply(X_128,commutator(X_128,multiply(inverse(X_61),Z)))) ),[0,0],$fot(multiply(inverse(Z),X_61))]]) ).
cnf(refute_0_4494,plain,
( multiply(inverse(multiply(inverse(X_61),Z)),multiply(X_128,multiply(inverse(X_61),Z))) != multiply(X_128,commutator(X_128,multiply(inverse(X_61),Z)))
| multiply(multiply(inverse(Z),X_61),multiply(X_128,multiply(inverse(X_61),Z))) = multiply(X_128,commutator(X_128,multiply(inverse(X_61),Z))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_61),Z)),multiply(inverse(Z),X_61)) )],[refute_0_294,refute_0_4493]) ).
cnf(refute_0_4495,plain,
multiply(multiply(inverse(Z),X_61),multiply(X_128,multiply(inverse(X_61),Z))) = multiply(X_128,commutator(X_128,multiply(inverse(X_61),Z))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_61),Z)),multiply(X_128,multiply(inverse(X_61),Z))),multiply(X_128,commutator(X_128,multiply(inverse(X_61),Z)))) )],[refute_0_4492,refute_0_4494]) ).
cnf(refute_0_4496,plain,
multiply(multiply(inverse(Z),X_61),multiply(X_128,multiply(inverse(X_61),Z))) = multiply(inverse(Z),multiply(X_61,multiply(X_128,multiply(inverse(X_61),Z)))),
inference(subst,[],[associativity:[bind(X,$fot(inverse(Z))),bind(Y,$fot(X_61)),bind(Z,$fot(multiply(X_128,multiply(inverse(X_61),Z))))]]) ).
cnf(refute_0_4497,plain,
( multiply(multiply(inverse(Z),X_61),multiply(X_128,multiply(inverse(X_61),Z))) != multiply(X_128,commutator(X_128,multiply(inverse(X_61),Z)))
| multiply(multiply(inverse(Z),X_61),multiply(X_128,multiply(inverse(X_61),Z))) != multiply(inverse(Z),multiply(X_61,multiply(X_128,multiply(inverse(X_61),Z))))
| multiply(inverse(Z),multiply(X_61,multiply(X_128,multiply(inverse(X_61),Z)))) = multiply(X_128,commutator(X_128,multiply(inverse(X_61),Z))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(Z),X_61),multiply(X_128,multiply(inverse(X_61),Z))),multiply(X_128,commutator(X_128,multiply(inverse(X_61),Z)))) ),[0],$fot(multiply(inverse(Z),multiply(X_61,multiply(X_128,multiply(inverse(X_61),Z)))))]]) ).
cnf(refute_0_4498,plain,
( multiply(multiply(inverse(Z),X_61),multiply(X_128,multiply(inverse(X_61),Z))) != multiply(X_128,commutator(X_128,multiply(inverse(X_61),Z)))
| multiply(inverse(Z),multiply(X_61,multiply(X_128,multiply(inverse(X_61),Z)))) = multiply(X_128,commutator(X_128,multiply(inverse(X_61),Z))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(Z),X_61),multiply(X_128,multiply(inverse(X_61),Z))),multiply(inverse(Z),multiply(X_61,multiply(X_128,multiply(inverse(X_61),Z))))) )],[refute_0_4496,refute_0_4497]) ).
cnf(refute_0_4499,plain,
multiply(inverse(Z),multiply(X_61,multiply(X_128,multiply(inverse(X_61),Z)))) = multiply(X_128,commutator(X_128,multiply(inverse(X_61),Z))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(Z),X_61),multiply(X_128,multiply(inverse(X_61),Z))),multiply(X_128,commutator(X_128,multiply(inverse(X_61),Z)))) )],[refute_0_4495,refute_0_4498]) ).
cnf(refute_0_4500,plain,
( multiply(inverse(Z),multiply(X_61,multiply(X_128,multiply(inverse(X_61),Z)))) != multiply(X_128,commutator(X_128,multiply(inverse(X_61),Z)))
| multiply(X_128,commutator(X_128,multiply(inverse(X_61),Z))) = multiply(inverse(Z),multiply(X_61,multiply(X_128,multiply(inverse(X_61),Z)))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(inverse(Z),multiply(X_61,multiply(X_128,multiply(inverse(X_61),Z)))))),bind(Y0,$fot(multiply(X_128,commutator(X_128,multiply(inverse(X_61),Z)))))]]) ).
cnf(refute_0_4501,plain,
multiply(X_128,commutator(X_128,multiply(inverse(X_61),Z))) = multiply(inverse(Z),multiply(X_61,multiply(X_128,multiply(inverse(X_61),Z)))),
inference(resolve,[$cnf( $equal(multiply(inverse(Z),multiply(X_61,multiply(X_128,multiply(inverse(X_61),Z)))),multiply(X_128,commutator(X_128,multiply(inverse(X_61),Z)))) )],[refute_0_4499,refute_0_4500]) ).
cnf(refute_0_4502,plain,
multiply(multiply(X_150,inverse(X_149)),commutator(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))) = multiply(inverse(X_149),multiply(X_150,multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149)))),
inference(subst,[],[refute_0_4501:[bind(Z,$fot(X_149)),bind(X_128,$fot(multiply(X_150,inverse(X_149)))),bind(X_61,$fot(X_150))]]) ).
cnf(refute_0_4503,plain,
( multiply(multiply(X_150,inverse(X_149)),commutator(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))) != multiply(inverse(X_149),multiply(X_150,multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))))
| multiply(inverse(multiply(inverse(X_150),X_149)),multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))) != multiply(multiply(X_150,inverse(X_149)),commutator(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149)))
| multiply(inverse(multiply(inverse(X_150),X_149)),multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))) = multiply(inverse(X_149),multiply(X_150,multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(inverse(X_150),X_149)),multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))))),bind(Y0,$fot(multiply(multiply(X_150,inverse(X_149)),commutator(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))))),bind(Z0,$fot(multiply(inverse(X_149),multiply(X_150,multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))))))]]) ).
cnf(refute_0_4504,plain,
( multiply(multiply(X_150,inverse(X_149)),commutator(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))) != multiply(inverse(X_149),multiply(X_150,multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))))
| multiply(inverse(multiply(inverse(X_150),X_149)),multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))) = multiply(inverse(X_149),multiply(X_150,multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_150),X_149)),multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))),multiply(multiply(X_150,inverse(X_149)),commutator(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149)))) )],[refute_0_4457,refute_0_4503]) ).
cnf(refute_0_4505,plain,
multiply(inverse(multiply(inverse(X_150),X_149)),multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))) = multiply(inverse(X_149),multiply(X_150,multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_150,inverse(X_149)),commutator(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))),multiply(inverse(X_149),multiply(X_150,multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))))) )],[refute_0_4502,refute_0_4504]) ).
cnf(refute_0_4506,plain,
( multiply(inverse(X_149),multiply(X_150,multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149)))) != multiply(inverse(X_149),multiply(X_150,commutator(X_149,X_150)))
| multiply(inverse(multiply(inverse(X_150),X_149)),multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))) != multiply(inverse(X_149),multiply(X_150,multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))))
| multiply(inverse(multiply(inverse(X_150),X_149)),multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))) = multiply(inverse(X_149),multiply(X_150,commutator(X_149,X_150))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(inverse(X_150),X_149)),multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))))),bind(Y0,$fot(multiply(inverse(X_149),multiply(X_150,multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149)))))),bind(Z0,$fot(multiply(inverse(X_149),multiply(X_150,commutator(X_149,X_150)))))]]) ).
cnf(refute_0_4507,plain,
( multiply(inverse(X_149),multiply(X_150,multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149)))) != multiply(inverse(X_149),multiply(X_150,commutator(X_149,X_150)))
| multiply(inverse(multiply(inverse(X_150),X_149)),multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))) = multiply(inverse(X_149),multiply(X_150,commutator(X_149,X_150))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_150),X_149)),multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))),multiply(inverse(X_149),multiply(X_150,multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))))) )],[refute_0_4505,refute_0_4506]) ).
cnf(refute_0_4508,plain,
multiply(inverse(multiply(inverse(X_150),X_149)),multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))) = multiply(inverse(X_149),multiply(X_150,commutator(X_149,X_150))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_149),multiply(X_150,multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149)))),multiply(inverse(X_149),multiply(X_150,commutator(X_149,X_150)))) )],[refute_0_4491,refute_0_4507]) ).
cnf(refute_0_4509,plain,
( multiply(inverse(multiply(inverse(X_150),X_149)),multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))) != multiply(multiply(X_150,inverse(X_149)),identity)
| multiply(inverse(multiply(inverse(X_150),X_149)),multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))) != multiply(inverse(X_149),multiply(X_150,commutator(X_149,X_150)))
| multiply(inverse(X_149),multiply(X_150,commutator(X_149,X_150))) = multiply(multiply(X_150,inverse(X_149)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_150),X_149)),multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))),multiply(multiply(X_150,inverse(X_149)),identity)) ),[0],$fot(multiply(inverse(X_149),multiply(X_150,commutator(X_149,X_150))))]]) ).
cnf(refute_0_4510,plain,
( multiply(inverse(multiply(inverse(X_150),X_149)),multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))) != multiply(multiply(X_150,inverse(X_149)),identity)
| multiply(inverse(X_149),multiply(X_150,commutator(X_149,X_150))) = multiply(multiply(X_150,inverse(X_149)),identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_150),X_149)),multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))),multiply(inverse(X_149),multiply(X_150,commutator(X_149,X_150)))) )],[refute_0_4508,refute_0_4509]) ).
cnf(refute_0_4511,plain,
multiply(multiply(X_150,inverse(X_149)),identity) = multiply(X_150,inverse(X_149)),
inference(subst,[],[refute_0_100:[bind(X_16,$fot(multiply(X_150,inverse(X_149))))]]) ).
cnf(refute_0_4512,plain,
( multiply(multiply(X_150,inverse(X_149)),identity) != multiply(X_150,inverse(X_149))
| multiply(inverse(X_149),multiply(X_150,commutator(X_149,X_150))) != multiply(multiply(X_150,inverse(X_149)),identity)
| multiply(inverse(X_149),multiply(X_150,commutator(X_149,X_150))) = multiply(X_150,inverse(X_149)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_149),multiply(X_150,commutator(X_149,X_150))),multiply(multiply(X_150,inverse(X_149)),identity)) ),[1],$fot(multiply(X_150,inverse(X_149)))]]) ).
cnf(refute_0_4513,plain,
( multiply(inverse(X_149),multiply(X_150,commutator(X_149,X_150))) != multiply(multiply(X_150,inverse(X_149)),identity)
| multiply(inverse(X_149),multiply(X_150,commutator(X_149,X_150))) = multiply(X_150,inverse(X_149)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_150,inverse(X_149)),identity),multiply(X_150,inverse(X_149))) )],[refute_0_4511,refute_0_4512]) ).
cnf(refute_0_4514,plain,
( multiply(inverse(multiply(inverse(X_150),X_149)),multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))) != multiply(multiply(X_150,inverse(X_149)),identity)
| multiply(inverse(X_149),multiply(X_150,commutator(X_149,X_150))) = multiply(X_150,inverse(X_149)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_149),multiply(X_150,commutator(X_149,X_150))),multiply(multiply(X_150,inverse(X_149)),identity)) )],[refute_0_4510,refute_0_4513]) ).
cnf(refute_0_4515,plain,
multiply(inverse(X_149),multiply(X_150,commutator(X_149,X_150))) = multiply(X_150,inverse(X_149)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_150),X_149)),multiply(multiply(X_150,inverse(X_149)),multiply(inverse(X_150),X_149))),multiply(multiply(X_150,inverse(X_149)),identity)) )],[refute_0_4470,refute_0_4514]) ).
cnf(refute_0_4516,plain,
multiply(inverse(X_232),multiply(X_231,commutator(X_232,X_231))) = multiply(X_231,inverse(X_232)),
inference(subst,[],[refute_0_4515:[bind(X_149,$fot(X_232)),bind(X_150,$fot(X_231))]]) ).
cnf(refute_0_4517,plain,
multiply(X_231,multiply(inverse(X_232),multiply(X_231,commutator(X_232,X_231)))) = multiply(X_231,multiply(inverse(X_232),multiply(X_231,commutator(X_232,X_231)))),
introduced(tautology,[refl,[$fot(multiply(X_231,multiply(inverse(X_232),multiply(X_231,commutator(X_232,X_231)))))]]) ).
cnf(refute_0_4518,plain,
( multiply(X_231,multiply(inverse(X_232),multiply(X_231,commutator(X_232,X_231)))) != multiply(X_231,multiply(inverse(X_232),multiply(X_231,commutator(X_232,X_231))))
| multiply(inverse(X_232),multiply(X_231,commutator(X_232,X_231))) != multiply(X_231,inverse(X_232))
| multiply(X_231,multiply(inverse(X_232),multiply(X_231,commutator(X_232,X_231)))) = multiply(X_231,multiply(X_231,inverse(X_232))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_231,multiply(inverse(X_232),multiply(X_231,commutator(X_232,X_231)))),multiply(X_231,multiply(inverse(X_232),multiply(X_231,commutator(X_232,X_231))))) ),[1,1],$fot(multiply(X_231,inverse(X_232)))]]) ).
cnf(refute_0_4519,plain,
( multiply(inverse(X_232),multiply(X_231,commutator(X_232,X_231))) != multiply(X_231,inverse(X_232))
| multiply(X_231,multiply(inverse(X_232),multiply(X_231,commutator(X_232,X_231)))) = multiply(X_231,multiply(X_231,inverse(X_232))) ),
inference(resolve,[$cnf( $equal(multiply(X_231,multiply(inverse(X_232),multiply(X_231,commutator(X_232,X_231)))),multiply(X_231,multiply(inverse(X_232),multiply(X_231,commutator(X_232,X_231))))) )],[refute_0_4517,refute_0_4518]) ).
cnf(refute_0_4520,plain,
multiply(X_231,multiply(inverse(X_232),multiply(X_231,commutator(X_232,X_231)))) = multiply(X_231,multiply(X_231,inverse(X_232))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_232),multiply(X_231,commutator(X_232,X_231))),multiply(X_231,inverse(X_232))) )],[refute_0_4516,refute_0_4519]) ).
cnf(refute_0_4521,plain,
multiply(multiply(X_231,inverse(X_232)),multiply(X_231,commutator(X_232,X_231))) = multiply(X_231,multiply(inverse(X_232),multiply(X_231,commutator(X_232,X_231)))),
inference(subst,[],[associativity:[bind(X,$fot(X_231)),bind(Y,$fot(inverse(X_232))),bind(Z,$fot(multiply(X_231,commutator(X_232,X_231))))]]) ).
cnf(refute_0_4522,plain,
( multiply(X_231,multiply(inverse(X_232),multiply(X_231,commutator(X_232,X_231)))) != multiply(X_231,multiply(X_231,inverse(X_232)))
| multiply(multiply(X_231,inverse(X_232)),multiply(X_231,commutator(X_232,X_231))) != multiply(X_231,multiply(inverse(X_232),multiply(X_231,commutator(X_232,X_231))))
| multiply(multiply(X_231,inverse(X_232)),multiply(X_231,commutator(X_232,X_231))) = multiply(X_231,multiply(X_231,inverse(X_232))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_231,inverse(X_232)),multiply(X_231,commutator(X_232,X_231))))),bind(Y0,$fot(multiply(X_231,multiply(inverse(X_232),multiply(X_231,commutator(X_232,X_231)))))),bind(Z0,$fot(multiply(X_231,multiply(X_231,inverse(X_232)))))]]) ).
cnf(refute_0_4523,plain,
( multiply(X_231,multiply(inverse(X_232),multiply(X_231,commutator(X_232,X_231)))) != multiply(X_231,multiply(X_231,inverse(X_232)))
| multiply(multiply(X_231,inverse(X_232)),multiply(X_231,commutator(X_232,X_231))) = multiply(X_231,multiply(X_231,inverse(X_232))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_231,inverse(X_232)),multiply(X_231,commutator(X_232,X_231))),multiply(X_231,multiply(inverse(X_232),multiply(X_231,commutator(X_232,X_231))))) )],[refute_0_4521,refute_0_4522]) ).
cnf(refute_0_4524,plain,
multiply(multiply(X_231,inverse(X_232)),multiply(X_231,commutator(X_232,X_231))) = multiply(X_231,multiply(X_231,inverse(X_232))),
inference(resolve,[$cnf( $equal(multiply(X_231,multiply(inverse(X_232),multiply(X_231,commutator(X_232,X_231)))),multiply(X_231,multiply(X_231,inverse(X_232)))) )],[refute_0_4520,refute_0_4523]) ).
cnf(refute_0_4525,plain,
multiply(X_232,multiply(multiply(X_231,inverse(X_232)),multiply(X_231,commutator(X_232,X_231)))) = multiply(X_232,multiply(multiply(X_231,inverse(X_232)),multiply(X_231,commutator(X_232,X_231)))),
introduced(tautology,[refl,[$fot(multiply(X_232,multiply(multiply(X_231,inverse(X_232)),multiply(X_231,commutator(X_232,X_231)))))]]) ).
cnf(refute_0_4526,plain,
( multiply(X_232,multiply(multiply(X_231,inverse(X_232)),multiply(X_231,commutator(X_232,X_231)))) != multiply(X_232,multiply(multiply(X_231,inverse(X_232)),multiply(X_231,commutator(X_232,X_231))))
| multiply(multiply(X_231,inverse(X_232)),multiply(X_231,commutator(X_232,X_231))) != multiply(X_231,multiply(X_231,inverse(X_232)))
| multiply(X_232,multiply(multiply(X_231,inverse(X_232)),multiply(X_231,commutator(X_232,X_231)))) = multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_232,multiply(multiply(X_231,inverse(X_232)),multiply(X_231,commutator(X_232,X_231)))),multiply(X_232,multiply(multiply(X_231,inverse(X_232)),multiply(X_231,commutator(X_232,X_231))))) ),[1,1],$fot(multiply(X_231,multiply(X_231,inverse(X_232))))]]) ).
cnf(refute_0_4527,plain,
( multiply(multiply(X_231,inverse(X_232)),multiply(X_231,commutator(X_232,X_231))) != multiply(X_231,multiply(X_231,inverse(X_232)))
| multiply(X_232,multiply(multiply(X_231,inverse(X_232)),multiply(X_231,commutator(X_232,X_231)))) = multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232)))) ),
inference(resolve,[$cnf( $equal(multiply(X_232,multiply(multiply(X_231,inverse(X_232)),multiply(X_231,commutator(X_232,X_231)))),multiply(X_232,multiply(multiply(X_231,inverse(X_232)),multiply(X_231,commutator(X_232,X_231))))) )],[refute_0_4525,refute_0_4526]) ).
cnf(refute_0_4528,plain,
multiply(X_232,multiply(multiply(X_231,inverse(X_232)),multiply(X_231,commutator(X_232,X_231)))) = multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_231,inverse(X_232)),multiply(X_231,commutator(X_232,X_231))),multiply(X_231,multiply(X_231,inverse(X_232)))) )],[refute_0_4524,refute_0_4527]) ).
cnf(refute_0_4529,plain,
multiply(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231))) = multiply(X_232,multiply(multiply(X_231,inverse(X_232)),multiply(X_231,commutator(X_232,X_231)))),
inference(subst,[],[associativity:[bind(X,$fot(X_232)),bind(Y,$fot(multiply(X_231,inverse(X_232)))),bind(Z,$fot(multiply(X_231,commutator(X_232,X_231))))]]) ).
cnf(refute_0_4530,plain,
( multiply(X_232,multiply(multiply(X_231,inverse(X_232)),multiply(X_231,commutator(X_232,X_231)))) != multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232))))
| multiply(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231))) != multiply(X_232,multiply(multiply(X_231,inverse(X_232)),multiply(X_231,commutator(X_232,X_231))))
| multiply(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231))) = multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231))))),bind(Y0,$fot(multiply(X_232,multiply(multiply(X_231,inverse(X_232)),multiply(X_231,commutator(X_232,X_231)))))),bind(Z0,$fot(multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232))))))]]) ).
cnf(refute_0_4531,plain,
( multiply(X_232,multiply(multiply(X_231,inverse(X_232)),multiply(X_231,commutator(X_232,X_231)))) != multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232))))
| multiply(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231))) = multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231))),multiply(X_232,multiply(multiply(X_231,inverse(X_232)),multiply(X_231,commutator(X_232,X_231))))) )],[refute_0_4529,refute_0_4530]) ).
cnf(refute_0_4532,plain,
multiply(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231))) = multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232)))),
inference(resolve,[$cnf( $equal(multiply(X_232,multiply(multiply(X_231,inverse(X_232)),multiply(X_231,commutator(X_232,X_231)))),multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232))))) )],[refute_0_4528,refute_0_4531]) ).
cnf(refute_0_4533,plain,
multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231)))) = multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231)))),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231)))))]]) ).
cnf(refute_0_4534,plain,
( multiply(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231))) != multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232))))
| multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231)))) != multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231))))
| multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231)))) = multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231)))),multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231))))) ),[1,1],$fot(multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232)))))]]) ).
cnf(refute_0_4535,plain,
( multiply(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231))) != multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232))))
| multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231)))) = multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231)))),multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231))))) )],[refute_0_4533,refute_0_4534]) ).
cnf(refute_0_4536,plain,
multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231)))) = multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232))))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231))),multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232))))) )],[refute_0_4532,refute_0_4535]) ).
cnf(refute_0_4537,plain,
( multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231)))) != multiply(multiply(X_232,multiply(X_231,inverse(X_232))),identity)
| multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231)))) != multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232)))))
| multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232))))) = multiply(multiply(X_232,multiply(X_231,inverse(X_232))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231)))),multiply(multiply(X_232,multiply(X_231,inverse(X_232))),identity)) ),[0],$fot(multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232))))))]]) ).
cnf(refute_0_4538,plain,
( multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231)))) != multiply(multiply(X_232,multiply(X_231,inverse(X_232))),identity)
| multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232))))) = multiply(multiply(X_232,multiply(X_231,inverse(X_232))),identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231)))),multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232)))))) )],[refute_0_4536,refute_0_4537]) ).
cnf(refute_0_4539,plain,
multiply(multiply(X_232,multiply(X_231,inverse(X_232))),identity) = multiply(X_232,multiply(X_231,inverse(X_232))),
inference(subst,[],[refute_0_100:[bind(X_16,$fot(multiply(X_232,multiply(X_231,inverse(X_232)))))]]) ).
cnf(refute_0_4540,plain,
( multiply(multiply(X_232,multiply(X_231,inverse(X_232))),identity) != multiply(X_232,multiply(X_231,inverse(X_232)))
| multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232))))) != multiply(multiply(X_232,multiply(X_231,inverse(X_232))),identity)
| multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232))))) = multiply(X_232,multiply(X_231,inverse(X_232))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232))))),multiply(multiply(X_232,multiply(X_231,inverse(X_232))),identity)) ),[1],$fot(multiply(X_232,multiply(X_231,inverse(X_232))))]]) ).
cnf(refute_0_4541,plain,
( multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232))))) != multiply(multiply(X_232,multiply(X_231,inverse(X_232))),identity)
| multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232))))) = multiply(X_232,multiply(X_231,inverse(X_232))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_232,multiply(X_231,inverse(X_232))),identity),multiply(X_232,multiply(X_231,inverse(X_232)))) )],[refute_0_4539,refute_0_4540]) ).
cnf(refute_0_4542,plain,
( multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231)))) != multiply(multiply(X_232,multiply(X_231,inverse(X_232))),identity)
| multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232))))) = multiply(X_232,multiply(X_231,inverse(X_232))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232))))),multiply(multiply(X_232,multiply(X_231,inverse(X_232))),identity)) )],[refute_0_4538,refute_0_4541]) ).
cnf(refute_0_4543,plain,
multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232))))) = multiply(X_232,multiply(X_231,inverse(X_232))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(multiply(X_232,multiply(X_231,inverse(X_232))),multiply(X_231,commutator(X_232,X_231)))),multiply(multiply(X_232,multiply(X_231,inverse(X_232))),identity)) )],[refute_0_4456,refute_0_4542]) ).
cnf(refute_0_4544,plain,
commutator(X_231,inverse(X_232)) = commutator(X_232,X_231),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(X_232)),bind(X_110,$fot(X_231))]]) ).
cnf(refute_0_4545,plain,
commutator(X_231,multiply(X_231,inverse(X_232))) = commutator(X_231,inverse(X_232)),
inference(subst,[],[refute_0_455:[bind(X_10,$fot(X_231)),bind(X_11,$fot(inverse(X_232)))]]) ).
cnf(refute_0_4546,plain,
( commutator(X_231,multiply(X_231,inverse(X_232))) != commutator(X_231,inverse(X_232))
| commutator(X_231,inverse(X_232)) != commutator(X_232,X_231)
| commutator(X_231,multiply(X_231,inverse(X_232))) = commutator(X_232,X_231) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(X_231,multiply(X_231,inverse(X_232))))),bind(Y0,$fot(commutator(X_231,inverse(X_232)))),bind(Z0,$fot(commutator(X_232,X_231)))]]) ).
cnf(refute_0_4547,plain,
( commutator(X_231,inverse(X_232)) != commutator(X_232,X_231)
| commutator(X_231,multiply(X_231,inverse(X_232))) = commutator(X_232,X_231) ),
inference(resolve,[$cnf( $equal(commutator(X_231,multiply(X_231,inverse(X_232))),commutator(X_231,inverse(X_232))) )],[refute_0_4545,refute_0_4546]) ).
cnf(refute_0_4548,plain,
commutator(X_231,multiply(X_231,inverse(X_232))) = commutator(X_232,X_231),
inference(resolve,[$cnf( $equal(commutator(X_231,inverse(X_232)),commutator(X_232,X_231)) )],[refute_0_4544,refute_0_4547]) ).
cnf(refute_0_4549,plain,
commutator(multiply(X_232,inverse(X_231)),X_231) = commutator(X_231,multiply(X_231,inverse(X_232))),
inference(subst,[],[refute_0_2366:[bind(X_10,$fot(X_231)),bind(X_171,$fot(X_231)),bind(X_173,$fot(X_232))]]) ).
cnf(refute_0_4550,plain,
( commutator(X_231,multiply(X_231,inverse(X_232))) != commutator(X_232,X_231)
| commutator(multiply(X_232,inverse(X_231)),X_231) != commutator(X_231,multiply(X_231,inverse(X_232)))
| commutator(multiply(X_232,inverse(X_231)),X_231) = commutator(X_232,X_231) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_232,inverse(X_231)),X_231))),bind(Y0,$fot(commutator(X_231,multiply(X_231,inverse(X_232))))),bind(Z0,$fot(commutator(X_232,X_231)))]]) ).
cnf(refute_0_4551,plain,
( commutator(X_231,multiply(X_231,inverse(X_232))) != commutator(X_232,X_231)
| commutator(multiply(X_232,inverse(X_231)),X_231) = commutator(X_232,X_231) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_232,inverse(X_231)),X_231),commutator(X_231,multiply(X_231,inverse(X_232)))) )],[refute_0_4549,refute_0_4550]) ).
cnf(refute_0_4552,plain,
commutator(multiply(X_232,inverse(X_231)),X_231) = commutator(X_232,X_231),
inference(resolve,[$cnf( $equal(commutator(X_231,multiply(X_231,inverse(X_232))),commutator(X_232,X_231)) )],[refute_0_4548,refute_0_4551]) ).
cnf(refute_0_4553,plain,
multiply(X_231,commutator(multiply(X_232,inverse(X_231)),X_231)) = multiply(X_231,commutator(multiply(X_232,inverse(X_231)),X_231)),
introduced(tautology,[refl,[$fot(multiply(X_231,commutator(multiply(X_232,inverse(X_231)),X_231)))]]) ).
cnf(refute_0_4554,plain,
( multiply(X_231,commutator(multiply(X_232,inverse(X_231)),X_231)) != multiply(X_231,commutator(multiply(X_232,inverse(X_231)),X_231))
| commutator(multiply(X_232,inverse(X_231)),X_231) != commutator(X_232,X_231)
| multiply(X_231,commutator(multiply(X_232,inverse(X_231)),X_231)) = multiply(X_231,commutator(X_232,X_231)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_231,commutator(multiply(X_232,inverse(X_231)),X_231)),multiply(X_231,commutator(multiply(X_232,inverse(X_231)),X_231))) ),[1,1],$fot(commutator(X_232,X_231))]]) ).
cnf(refute_0_4555,plain,
( commutator(multiply(X_232,inverse(X_231)),X_231) != commutator(X_232,X_231)
| multiply(X_231,commutator(multiply(X_232,inverse(X_231)),X_231)) = multiply(X_231,commutator(X_232,X_231)) ),
inference(resolve,[$cnf( $equal(multiply(X_231,commutator(multiply(X_232,inverse(X_231)),X_231)),multiply(X_231,commutator(multiply(X_232,inverse(X_231)),X_231))) )],[refute_0_4553,refute_0_4554]) ).
cnf(refute_0_4556,plain,
multiply(X_231,commutator(multiply(X_232,inverse(X_231)),X_231)) = multiply(X_231,commutator(X_232,X_231)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_232,inverse(X_231)),X_231),commutator(X_232,X_231)) )],[refute_0_4552,refute_0_4555]) ).
cnf(refute_0_4557,plain,
multiply(multiply(X_58,inverse(X)),multiply(X_153,inverse(multiply(X_58,inverse(X))))) = multiply(X_153,commutator(multiply(X_58,inverse(X)),X_153)),
inference(subst,[],[refute_0_933:[bind(X_10,$fot(X_153)),bind(X_90,$fot(multiply(X_58,inverse(X))))]]) ).
cnf(refute_0_4558,plain,
( multiply(multiply(X_58,inverse(X)),multiply(X_153,inverse(multiply(X_58,inverse(X))))) != multiply(X_153,commutator(multiply(X_58,inverse(X)),X_153))
| inverse(multiply(X_58,inverse(X))) != multiply(X,inverse(X_58))
| multiply(multiply(X_58,inverse(X)),multiply(X_153,multiply(X,inverse(X_58)))) = multiply(X_153,commutator(multiply(X_58,inverse(X)),X_153)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_58,inverse(X)),multiply(X_153,inverse(multiply(X_58,inverse(X))))),multiply(X_153,commutator(multiply(X_58,inverse(X)),X_153))) ),[0,1,1],$fot(multiply(X,inverse(X_58)))]]) ).
cnf(refute_0_4559,plain,
( multiply(multiply(X_58,inverse(X)),multiply(X_153,inverse(multiply(X_58,inverse(X))))) != multiply(X_153,commutator(multiply(X_58,inverse(X)),X_153))
| multiply(multiply(X_58,inverse(X)),multiply(X_153,multiply(X,inverse(X_58)))) = multiply(X_153,commutator(multiply(X_58,inverse(X)),X_153)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_58,inverse(X))),multiply(X,inverse(X_58))) )],[refute_0_180,refute_0_4558]) ).
cnf(refute_0_4560,plain,
multiply(multiply(X_58,inverse(X)),multiply(X_153,multiply(X,inverse(X_58)))) = multiply(X_153,commutator(multiply(X_58,inverse(X)),X_153)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_58,inverse(X)),multiply(X_153,inverse(multiply(X_58,inverse(X))))),multiply(X_153,commutator(multiply(X_58,inverse(X)),X_153))) )],[refute_0_4557,refute_0_4559]) ).
cnf(refute_0_4561,plain,
multiply(multiply(X_58,inverse(X)),multiply(X_153,multiply(X,inverse(X_58)))) = multiply(X_58,multiply(inverse(X),multiply(X_153,multiply(X,inverse(X_58))))),
inference(subst,[],[associativity:[bind(X,$fot(X_58)),bind(Y,$fot(inverse(X))),bind(Z,$fot(multiply(X_153,multiply(X,inverse(X_58)))))]]) ).
cnf(refute_0_4562,plain,
( multiply(multiply(X_58,inverse(X)),multiply(X_153,multiply(X,inverse(X_58)))) != multiply(X_153,commutator(multiply(X_58,inverse(X)),X_153))
| multiply(multiply(X_58,inverse(X)),multiply(X_153,multiply(X,inverse(X_58)))) != multiply(X_58,multiply(inverse(X),multiply(X_153,multiply(X,inverse(X_58)))))
| multiply(X_58,multiply(inverse(X),multiply(X_153,multiply(X,inverse(X_58))))) = multiply(X_153,commutator(multiply(X_58,inverse(X)),X_153)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_58,inverse(X)),multiply(X_153,multiply(X,inverse(X_58)))),multiply(X_153,commutator(multiply(X_58,inverse(X)),X_153))) ),[0],$fot(multiply(X_58,multiply(inverse(X),multiply(X_153,multiply(X,inverse(X_58))))))]]) ).
cnf(refute_0_4563,plain,
( multiply(multiply(X_58,inverse(X)),multiply(X_153,multiply(X,inverse(X_58)))) != multiply(X_153,commutator(multiply(X_58,inverse(X)),X_153))
| multiply(X_58,multiply(inverse(X),multiply(X_153,multiply(X,inverse(X_58))))) = multiply(X_153,commutator(multiply(X_58,inverse(X)),X_153)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_58,inverse(X)),multiply(X_153,multiply(X,inverse(X_58)))),multiply(X_58,multiply(inverse(X),multiply(X_153,multiply(X,inverse(X_58)))))) )],[refute_0_4561,refute_0_4562]) ).
cnf(refute_0_4564,plain,
multiply(X_58,multiply(inverse(X),multiply(X_153,multiply(X,inverse(X_58))))) = multiply(X_153,commutator(multiply(X_58,inverse(X)),X_153)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_58,inverse(X)),multiply(X_153,multiply(X,inverse(X_58)))),multiply(X_153,commutator(multiply(X_58,inverse(X)),X_153))) )],[refute_0_4560,refute_0_4563]) ).
cnf(refute_0_4565,plain,
multiply(X_232,multiply(inverse(X_231),multiply(X_231,multiply(X_231,inverse(X_232))))) = multiply(X_231,commutator(multiply(X_232,inverse(X_231)),X_231)),
inference(subst,[],[refute_0_4564:[bind(X,$fot(X_231)),bind(X_153,$fot(X_231)),bind(X_58,$fot(X_232))]]) ).
cnf(refute_0_4566,plain,
multiply(inverse(multiply(X_10,inverse(X_236))),X_235) = multiply(inverse(multiply(X_236,multiply(X_10,inverse(X_236)))),multiply(X_236,X_235)),
inference(subst,[],[refute_0_677:[bind(Z,$fot(X_235)),bind(X_50,$fot(X_236)),bind(X_51,$fot(multiply(X_10,inverse(X_236))))]]) ).
cnf(refute_0_4567,plain,
multiply(X_236,multiply(X_10,inverse(X_236))) = multiply(X_10,commutator(X_236,X_10)),
inference(subst,[],[refute_0_933:[bind(X_90,$fot(X_236))]]) ).
cnf(refute_0_4568,plain,
( multiply(X_236,multiply(X_10,inverse(X_236))) != multiply(X_10,commutator(X_236,X_10))
| multiply(inverse(multiply(X_10,inverse(X_236))),X_235) != multiply(inverse(multiply(X_236,multiply(X_10,inverse(X_236)))),multiply(X_236,X_235))
| multiply(inverse(multiply(X_10,inverse(X_236))),X_235) = multiply(inverse(multiply(X_10,commutator(X_236,X_10))),multiply(X_236,X_235)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_10,inverse(X_236))),X_235),multiply(inverse(multiply(X_236,multiply(X_10,inverse(X_236)))),multiply(X_236,X_235))) ),[1,0,0],$fot(multiply(X_10,commutator(X_236,X_10)))]]) ).
cnf(refute_0_4569,plain,
( multiply(inverse(multiply(X_10,inverse(X_236))),X_235) != multiply(inverse(multiply(X_236,multiply(X_10,inverse(X_236)))),multiply(X_236,X_235))
| multiply(inverse(multiply(X_10,inverse(X_236))),X_235) = multiply(inverse(multiply(X_10,commutator(X_236,X_10))),multiply(X_236,X_235)) ),
inference(resolve,[$cnf( $equal(multiply(X_236,multiply(X_10,inverse(X_236))),multiply(X_10,commutator(X_236,X_10))) )],[refute_0_4567,refute_0_4568]) ).
cnf(refute_0_4570,plain,
multiply(inverse(multiply(X_10,inverse(X_236))),X_235) = multiply(inverse(multiply(X_10,commutator(X_236,X_10))),multiply(X_236,X_235)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_10,inverse(X_236))),X_235),multiply(inverse(multiply(X_236,multiply(X_10,inverse(X_236)))),multiply(X_236,X_235))) )],[refute_0_4566,refute_0_4569]) ).
cnf(refute_0_4571,plain,
multiply(multiply(X_236,inverse(X_10)),X_235) = multiply(X_236,multiply(inverse(X_10),X_235)),
inference(subst,[],[associativity:[bind(X,$fot(X_236)),bind(Y,$fot(inverse(X_10))),bind(Z,$fot(X_235))]]) ).
cnf(refute_0_4572,plain,
inverse(multiply(X_10,inverse(X_236))) = multiply(X_236,inverse(X_10)),
inference(subst,[],[refute_0_180:[bind(X,$fot(X_236)),bind(X_58,$fot(X_10))]]) ).
cnf(refute_0_4573,plain,
multiply(inverse(multiply(X_10,inverse(X_236))),X_235) = multiply(inverse(multiply(X_10,inverse(X_236))),X_235),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_10,inverse(X_236))),X_235))]]) ).
cnf(refute_0_4574,plain,
( multiply(inverse(multiply(X_10,inverse(X_236))),X_235) != multiply(inverse(multiply(X_10,inverse(X_236))),X_235)
| inverse(multiply(X_10,inverse(X_236))) != multiply(X_236,inverse(X_10))
| multiply(inverse(multiply(X_10,inverse(X_236))),X_235) = multiply(multiply(X_236,inverse(X_10)),X_235) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_10,inverse(X_236))),X_235),multiply(inverse(multiply(X_10,inverse(X_236))),X_235)) ),[1,0],$fot(multiply(X_236,inverse(X_10)))]]) ).
cnf(refute_0_4575,plain,
( inverse(multiply(X_10,inverse(X_236))) != multiply(X_236,inverse(X_10))
| multiply(inverse(multiply(X_10,inverse(X_236))),X_235) = multiply(multiply(X_236,inverse(X_10)),X_235) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_10,inverse(X_236))),X_235),multiply(inverse(multiply(X_10,inverse(X_236))),X_235)) )],[refute_0_4573,refute_0_4574]) ).
cnf(refute_0_4576,plain,
multiply(inverse(multiply(X_10,inverse(X_236))),X_235) = multiply(multiply(X_236,inverse(X_10)),X_235),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,inverse(X_236))),multiply(X_236,inverse(X_10))) )],[refute_0_4572,refute_0_4575]) ).
cnf(refute_0_4577,plain,
( multiply(multiply(X_236,inverse(X_10)),X_235) != multiply(X_236,multiply(inverse(X_10),X_235))
| multiply(inverse(multiply(X_10,inverse(X_236))),X_235) != multiply(multiply(X_236,inverse(X_10)),X_235)
| multiply(inverse(multiply(X_10,inverse(X_236))),X_235) = multiply(X_236,multiply(inverse(X_10),X_235)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_10,inverse(X_236))),X_235))),bind(Y0,$fot(multiply(multiply(X_236,inverse(X_10)),X_235))),bind(Z0,$fot(multiply(X_236,multiply(inverse(X_10),X_235))))]]) ).
cnf(refute_0_4578,plain,
( multiply(multiply(X_236,inverse(X_10)),X_235) != multiply(X_236,multiply(inverse(X_10),X_235))
| multiply(inverse(multiply(X_10,inverse(X_236))),X_235) = multiply(X_236,multiply(inverse(X_10),X_235)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_10,inverse(X_236))),X_235),multiply(multiply(X_236,inverse(X_10)),X_235)) )],[refute_0_4576,refute_0_4577]) ).
cnf(refute_0_4579,plain,
multiply(inverse(multiply(X_10,inverse(X_236))),X_235) = multiply(X_236,multiply(inverse(X_10),X_235)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_236,inverse(X_10)),X_235),multiply(X_236,multiply(inverse(X_10),X_235))) )],[refute_0_4571,refute_0_4578]) ).
cnf(refute_0_4580,plain,
( multiply(inverse(multiply(X_10,inverse(X_236))),X_235) != multiply(X_236,multiply(inverse(X_10),X_235))
| multiply(inverse(multiply(X_10,inverse(X_236))),X_235) != multiply(inverse(multiply(X_10,commutator(X_236,X_10))),multiply(X_236,X_235))
| multiply(X_236,multiply(inverse(X_10),X_235)) = multiply(inverse(multiply(X_10,commutator(X_236,X_10))),multiply(X_236,X_235)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_10,inverse(X_236))),X_235),multiply(inverse(multiply(X_10,commutator(X_236,X_10))),multiply(X_236,X_235))) ),[0],$fot(multiply(X_236,multiply(inverse(X_10),X_235)))]]) ).
cnf(refute_0_4581,plain,
( multiply(inverse(multiply(X_10,inverse(X_236))),X_235) != multiply(inverse(multiply(X_10,commutator(X_236,X_10))),multiply(X_236,X_235))
| multiply(X_236,multiply(inverse(X_10),X_235)) = multiply(inverse(multiply(X_10,commutator(X_236,X_10))),multiply(X_236,X_235)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_10,inverse(X_236))),X_235),multiply(X_236,multiply(inverse(X_10),X_235))) )],[refute_0_4579,refute_0_4580]) ).
cnf(refute_0_4582,plain,
multiply(X_236,multiply(inverse(X_10),X_235)) = multiply(inverse(multiply(X_10,commutator(X_236,X_10))),multiply(X_236,X_235)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_10,inverse(X_236))),X_235),multiply(inverse(multiply(X_10,commutator(X_236,X_10))),multiply(X_236,X_235))) )],[refute_0_4570,refute_0_4581]) ).
cnf(refute_0_4583,plain,
( multiply(X_236,multiply(inverse(X_10),X_235)) != multiply(inverse(multiply(X_10,commutator(X_236,X_10))),multiply(X_236,X_235))
| multiply(inverse(multiply(X_10,commutator(X_236,X_10))),multiply(X_236,X_235)) = multiply(X_236,multiply(inverse(X_10),X_235)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(X_236,multiply(inverse(X_10),X_235)))),bind(Y0,$fot(multiply(inverse(multiply(X_10,commutator(X_236,X_10))),multiply(X_236,X_235))))]]) ).
cnf(refute_0_4584,plain,
multiply(inverse(multiply(X_10,commutator(X_236,X_10))),multiply(X_236,X_235)) = multiply(X_236,multiply(inverse(X_10),X_235)),
inference(resolve,[$cnf( $equal(multiply(X_236,multiply(inverse(X_10),X_235)),multiply(inverse(multiply(X_10,commutator(X_236,X_10))),multiply(X_236,X_235))) )],[refute_0_4582,refute_0_4583]) ).
cnf(refute_0_4585,plain,
multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232))))) = multiply(X_232,multiply(inverse(X_231),multiply(X_231,multiply(X_231,inverse(X_232))))),
inference(subst,[],[refute_0_4584:[bind(X_10,$fot(X_231)),bind(X_235,$fot(multiply(X_231,multiply(X_231,inverse(X_232))))),bind(X_236,$fot(X_232))]]) ).
cnf(refute_0_4586,plain,
( multiply(X_232,multiply(inverse(X_231),multiply(X_231,multiply(X_231,inverse(X_232))))) != multiply(X_231,commutator(multiply(X_232,inverse(X_231)),X_231))
| multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232))))) != multiply(X_232,multiply(inverse(X_231),multiply(X_231,multiply(X_231,inverse(X_232)))))
| multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232))))) = multiply(X_231,commutator(multiply(X_232,inverse(X_231)),X_231)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232))))))),bind(Y0,$fot(multiply(X_232,multiply(inverse(X_231),multiply(X_231,multiply(X_231,inverse(X_232))))))),bind(Z0,$fot(multiply(X_231,commutator(multiply(X_232,inverse(X_231)),X_231))))]]) ).
cnf(refute_0_4587,plain,
( multiply(X_232,multiply(inverse(X_231),multiply(X_231,multiply(X_231,inverse(X_232))))) != multiply(X_231,commutator(multiply(X_232,inverse(X_231)),X_231))
| multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232))))) = multiply(X_231,commutator(multiply(X_232,inverse(X_231)),X_231)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232))))),multiply(X_232,multiply(inverse(X_231),multiply(X_231,multiply(X_231,inverse(X_232)))))) )],[refute_0_4585,refute_0_4586]) ).
cnf(refute_0_4588,plain,
multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232))))) = multiply(X_231,commutator(multiply(X_232,inverse(X_231)),X_231)),
inference(resolve,[$cnf( $equal(multiply(X_232,multiply(inverse(X_231),multiply(X_231,multiply(X_231,inverse(X_232))))),multiply(X_231,commutator(multiply(X_232,inverse(X_231)),X_231))) )],[refute_0_4565,refute_0_4587]) ).
cnf(refute_0_4589,plain,
( multiply(X_231,commutator(multiply(X_232,inverse(X_231)),X_231)) != multiply(X_231,commutator(X_232,X_231))
| multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232))))) != multiply(X_231,commutator(multiply(X_232,inverse(X_231)),X_231))
| multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232))))) = multiply(X_231,commutator(X_232,X_231)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232))))))),bind(Y0,$fot(multiply(X_231,commutator(multiply(X_232,inverse(X_231)),X_231)))),bind(Z0,$fot(multiply(X_231,commutator(X_232,X_231))))]]) ).
cnf(refute_0_4590,plain,
( multiply(X_231,commutator(multiply(X_232,inverse(X_231)),X_231)) != multiply(X_231,commutator(X_232,X_231))
| multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232))))) = multiply(X_231,commutator(X_232,X_231)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232))))),multiply(X_231,commutator(multiply(X_232,inverse(X_231)),X_231))) )],[refute_0_4588,refute_0_4589]) ).
cnf(refute_0_4591,plain,
multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232))))) = multiply(X_231,commutator(X_232,X_231)),
inference(resolve,[$cnf( $equal(multiply(X_231,commutator(multiply(X_232,inverse(X_231)),X_231)),multiply(X_231,commutator(X_232,X_231))) )],[refute_0_4556,refute_0_4590]) ).
cnf(refute_0_4592,plain,
( multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232))))) != multiply(X_231,commutator(X_232,X_231))
| multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232))))) != multiply(X_232,multiply(X_231,inverse(X_232)))
| multiply(X_231,commutator(X_232,X_231)) = multiply(X_232,multiply(X_231,inverse(X_232))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232))))),multiply(X_232,multiply(X_231,inverse(X_232)))) ),[0],$fot(multiply(X_231,commutator(X_232,X_231)))]]) ).
cnf(refute_0_4593,plain,
( multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232))))) != multiply(X_232,multiply(X_231,inverse(X_232)))
| multiply(X_231,commutator(X_232,X_231)) = multiply(X_232,multiply(X_231,inverse(X_232))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232))))),multiply(X_231,commutator(X_232,X_231))) )],[refute_0_4591,refute_0_4592]) ).
cnf(refute_0_4594,plain,
multiply(X_231,commutator(X_232,X_231)) = multiply(X_232,multiply(X_231,inverse(X_232))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_231,commutator(X_232,X_231))),multiply(X_232,multiply(X_231,multiply(X_231,inverse(X_232))))),multiply(X_232,multiply(X_231,inverse(X_232)))) )],[refute_0_4543,refute_0_4593]) ).
cnf(refute_0_4595,plain,
multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),commutator(X_90,inverse(multiply(commutator(X_334,X_333),inverse(X_90))))) = multiply(X_90,multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),inverse(X_90))),
inference(subst,[],[refute_0_4594:[bind(X_231,$fot(inverse(multiply(commutator(X_334,X_333),inverse(X_90))))),bind(X_232,$fot(X_90))]]) ).
cnf(refute_0_4596,plain,
( multiply(X_90,multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),inverse(X_90))) != multiply(X_90,multiply(X_90,inverse(multiply(X_90,commutator(X_334,X_333)))))
| multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),commutator(X_90,inverse(multiply(commutator(X_334,X_333),inverse(X_90))))) != multiply(X_90,multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),inverse(X_90)))
| multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),commutator(X_90,inverse(multiply(commutator(X_334,X_333),inverse(X_90))))) = multiply(X_90,multiply(X_90,inverse(multiply(X_90,commutator(X_334,X_333))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),commutator(X_90,inverse(multiply(commutator(X_334,X_333),inverse(X_90))))))),bind(Y0,$fot(multiply(X_90,multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),inverse(X_90))))),bind(Z0,$fot(multiply(X_90,multiply(X_90,inverse(multiply(X_90,commutator(X_334,X_333)))))))]]) ).
cnf(refute_0_4597,plain,
( multiply(X_90,multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),inverse(X_90))) != multiply(X_90,multiply(X_90,inverse(multiply(X_90,commutator(X_334,X_333)))))
| multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),commutator(X_90,inverse(multiply(commutator(X_334,X_333),inverse(X_90))))) = multiply(X_90,multiply(X_90,inverse(multiply(X_90,commutator(X_334,X_333))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),commutator(X_90,inverse(multiply(commutator(X_334,X_333),inverse(X_90))))),multiply(X_90,multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),inverse(X_90)))) )],[refute_0_4595,refute_0_4596]) ).
cnf(refute_0_4598,plain,
multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),commutator(X_90,inverse(multiply(commutator(X_334,X_333),inverse(X_90))))) = multiply(X_90,multiply(X_90,inverse(multiply(X_90,commutator(X_334,X_333))))),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),inverse(X_90))),multiply(X_90,multiply(X_90,inverse(multiply(X_90,commutator(X_334,X_333)))))) )],[refute_0_4405,refute_0_4597]) ).
cnf(refute_0_4599,plain,
( multiply(X_90,multiply(commutator(X_334,commutator(X_333,X_90)),commutator(X_333,X_334))) != multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),commutator(X_90,inverse(multiply(commutator(X_334,X_333),inverse(X_90)))))
| multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),commutator(X_90,inverse(multiply(commutator(X_334,X_333),inverse(X_90))))) != multiply(X_90,multiply(X_90,inverse(multiply(X_90,commutator(X_334,X_333)))))
| multiply(X_90,multiply(commutator(X_334,commutator(X_333,X_90)),commutator(X_333,X_334))) = multiply(X_90,multiply(X_90,inverse(multiply(X_90,commutator(X_334,X_333))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_90,multiply(commutator(X_334,commutator(X_333,X_90)),commutator(X_333,X_334))),multiply(X_90,multiply(X_90,inverse(multiply(X_90,commutator(X_334,X_333)))))) ),[0],$fot(multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),commutator(X_90,inverse(multiply(commutator(X_334,X_333),inverse(X_90))))))]]) ).
cnf(refute_0_4600,plain,
( multiply(X_90,multiply(commutator(X_334,commutator(X_333,X_90)),commutator(X_333,X_334))) != multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),commutator(X_90,inverse(multiply(commutator(X_334,X_333),inverse(X_90)))))
| multiply(X_90,multiply(commutator(X_334,commutator(X_333,X_90)),commutator(X_333,X_334))) = multiply(X_90,multiply(X_90,inverse(multiply(X_90,commutator(X_334,X_333))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),commutator(X_90,inverse(multiply(commutator(X_334,X_333),inverse(X_90))))),multiply(X_90,multiply(X_90,inverse(multiply(X_90,commutator(X_334,X_333)))))) )],[refute_0_4598,refute_0_4599]) ).
cnf(refute_0_4601,plain,
( multiply(X_90,multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334))) != multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),commutator(X_90,inverse(multiply(commutator(X_334,X_333),inverse(X_90)))))
| multiply(X_90,multiply(commutator(X_334,commutator(X_333,X_90)),commutator(X_333,X_334))) = multiply(X_90,multiply(X_90,inverse(multiply(X_90,commutator(X_334,X_333))))) ),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(commutator(X_334,commutator(X_333,X_90)),commutator(X_333,X_334))),multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),commutator(X_90,inverse(multiply(commutator(X_334,X_333),inverse(X_90)))))) )],[refute_0_4396,refute_0_4600]) ).
cnf(refute_0_4602,plain,
multiply(X_90,multiply(commutator(X_334,commutator(X_333,X_90)),commutator(X_333,X_334))) = multiply(X_90,multiply(X_90,inverse(multiply(X_90,commutator(X_334,X_333))))),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(commutator(inverse(X_90),commutator(X_334,X_333)),commutator(X_333,X_334))),multiply(inverse(multiply(commutator(X_334,X_333),inverse(X_90))),commutator(X_90,inverse(multiply(commutator(X_334,X_333),inverse(X_90)))))) )],[refute_0_4381,refute_0_4601]) ).
cnf(refute_0_4603,plain,
multiply(inverse(multiply(inverse(X_533),inverse(X_533))),multiply(commutator(X_534,X_535),inverse(X_533))) = multiply(inverse(multiply(inverse(X_533),commutator(X_534,X_535))),multiply(commutator(X_534,X_535),commutator(X_534,X_535))),
inference(subst,[],[refute_0_2952:[bind(X_505,$fot(commutator(X_534,X_535))),bind(X_507,$fot(inverse(X_533)))]]) ).
cnf(refute_0_4604,plain,
inverse(multiply(X_533,commutator(X_535,X_534))) = multiply(commutator(X_534,X_535),inverse(X_533)),
inference(subst,[],[refute_0_376:[bind(X_58,$fot(X_533)),bind(X_65,$fot(X_534)),bind(X_66,$fot(X_535))]]) ).
cnf(refute_0_4605,plain,
( inverse(multiply(X_533,commutator(X_535,X_534))) != multiply(commutator(X_534,X_535),inverse(X_533))
| multiply(commutator(X_534,X_535),inverse(X_533)) = inverse(multiply(X_533,commutator(X_535,X_534))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(inverse(multiply(X_533,commutator(X_535,X_534))))),bind(Y0,$fot(multiply(commutator(X_534,X_535),inverse(X_533))))]]) ).
cnf(refute_0_4606,plain,
multiply(commutator(X_534,X_535),inverse(X_533)) = inverse(multiply(X_533,commutator(X_535,X_534))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_533,commutator(X_535,X_534))),multiply(commutator(X_534,X_535),inverse(X_533))) )],[refute_0_4604,refute_0_4605]) ).
cnf(refute_0_4607,plain,
( multiply(commutator(X_534,X_535),inverse(X_533)) != inverse(multiply(X_533,commutator(X_535,X_534)))
| multiply(inverse(multiply(inverse(X_533),inverse(X_533))),multiply(commutator(X_534,X_535),inverse(X_533))) != multiply(inverse(multiply(inverse(X_533),commutator(X_534,X_535))),multiply(commutator(X_534,X_535),commutator(X_534,X_535)))
| multiply(inverse(multiply(inverse(X_533),inverse(X_533))),inverse(multiply(X_533,commutator(X_535,X_534)))) = multiply(inverse(multiply(inverse(X_533),commutator(X_534,X_535))),multiply(commutator(X_534,X_535),commutator(X_534,X_535))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_533),inverse(X_533))),multiply(commutator(X_534,X_535),inverse(X_533))),multiply(inverse(multiply(inverse(X_533),commutator(X_534,X_535))),multiply(commutator(X_534,X_535),commutator(X_534,X_535)))) ),[0,1],$fot(inverse(multiply(X_533,commutator(X_535,X_534))))]]) ).
cnf(refute_0_4608,plain,
( multiply(inverse(multiply(inverse(X_533),inverse(X_533))),multiply(commutator(X_534,X_535),inverse(X_533))) != multiply(inverse(multiply(inverse(X_533),commutator(X_534,X_535))),multiply(commutator(X_534,X_535),commutator(X_534,X_535)))
| multiply(inverse(multiply(inverse(X_533),inverse(X_533))),inverse(multiply(X_533,commutator(X_535,X_534)))) = multiply(inverse(multiply(inverse(X_533),commutator(X_534,X_535))),multiply(commutator(X_534,X_535),commutator(X_534,X_535))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_534,X_535),inverse(X_533)),inverse(multiply(X_533,commutator(X_535,X_534)))) )],[refute_0_4606,refute_0_4607]) ).
cnf(refute_0_4609,plain,
multiply(inverse(multiply(inverse(X_533),inverse(X_533))),inverse(multiply(X_533,commutator(X_535,X_534)))) = multiply(inverse(multiply(inverse(X_533),commutator(X_534,X_535))),multiply(commutator(X_534,X_535),commutator(X_534,X_535))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_533),inverse(X_533))),multiply(commutator(X_534,X_535),inverse(X_533))),multiply(inverse(multiply(inverse(X_533),commutator(X_534,X_535))),multiply(commutator(X_534,X_535),commutator(X_534,X_535)))) )],[refute_0_4603,refute_0_4608]) ).
cnf(refute_0_4610,plain,
inverse(multiply(multiply(X_533,commutator(X_535,X_534)),inverse(X_533))) = multiply(X_533,inverse(multiply(X_533,commutator(X_535,X_534)))),
inference(subst,[],[refute_0_180:[bind(X,$fot(X_533)),bind(X_58,$fot(multiply(X_533,commutator(X_535,X_534))))]]) ).
cnf(refute_0_4611,plain,
multiply(X_533,inverse(multiply(multiply(X_533,commutator(X_535,X_534)),inverse(X_533)))) = multiply(X_533,inverse(multiply(multiply(X_533,commutator(X_535,X_534)),inverse(X_533)))),
introduced(tautology,[refl,[$fot(multiply(X_533,inverse(multiply(multiply(X_533,commutator(X_535,X_534)),inverse(X_533)))))]]) ).
cnf(refute_0_4612,plain,
( multiply(X_533,inverse(multiply(multiply(X_533,commutator(X_535,X_534)),inverse(X_533)))) != multiply(X_533,inverse(multiply(multiply(X_533,commutator(X_535,X_534)),inverse(X_533))))
| inverse(multiply(multiply(X_533,commutator(X_535,X_534)),inverse(X_533))) != multiply(X_533,inverse(multiply(X_533,commutator(X_535,X_534))))
| multiply(X_533,inverse(multiply(multiply(X_533,commutator(X_535,X_534)),inverse(X_533)))) = multiply(X_533,multiply(X_533,inverse(multiply(X_533,commutator(X_535,X_534))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_533,inverse(multiply(multiply(X_533,commutator(X_535,X_534)),inverse(X_533)))),multiply(X_533,inverse(multiply(multiply(X_533,commutator(X_535,X_534)),inverse(X_533))))) ),[1,1],$fot(multiply(X_533,inverse(multiply(X_533,commutator(X_535,X_534)))))]]) ).
cnf(refute_0_4613,plain,
( inverse(multiply(multiply(X_533,commutator(X_535,X_534)),inverse(X_533))) != multiply(X_533,inverse(multiply(X_533,commutator(X_535,X_534))))
| multiply(X_533,inverse(multiply(multiply(X_533,commutator(X_535,X_534)),inverse(X_533)))) = multiply(X_533,multiply(X_533,inverse(multiply(X_533,commutator(X_535,X_534))))) ),
inference(resolve,[$cnf( $equal(multiply(X_533,inverse(multiply(multiply(X_533,commutator(X_535,X_534)),inverse(X_533)))),multiply(X_533,inverse(multiply(multiply(X_533,commutator(X_535,X_534)),inverse(X_533))))) )],[refute_0_4611,refute_0_4612]) ).
cnf(refute_0_4614,plain,
multiply(X_533,inverse(multiply(multiply(X_533,commutator(X_535,X_534)),inverse(X_533)))) = multiply(X_533,multiply(X_533,inverse(multiply(X_533,commutator(X_535,X_534))))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_533,commutator(X_535,X_534)),inverse(X_533))),multiply(X_533,inverse(multiply(X_533,commutator(X_535,X_534))))) )],[refute_0_4610,refute_0_4613]) ).
cnf(refute_0_4615,plain,
inverse(multiply(multiply(X_533,commutator(X_535,X_534)),multiply(inverse(X_533),inverse(X_533)))) = multiply(X_533,inverse(multiply(multiply(X_533,commutator(X_535,X_534)),inverse(X_533)))),
inference(subst,[],[refute_0_860:[bind(X_58,$fot(multiply(X_533,commutator(X_535,X_534)))),bind(X_89,$fot(X_533)),bind(X_90,$fot(inverse(X_533)))]]) ).
cnf(refute_0_4616,plain,
multiply(inverse(multiply(inverse(X_533),inverse(X_533))),inverse(multiply(X_533,commutator(X_535,X_534)))) = inverse(multiply(multiply(X_533,commutator(X_535,X_534)),multiply(inverse(X_533),inverse(X_533)))),
inference(subst,[],[refute_0_257:[bind(X_10,$fot(multiply(inverse(X_533),inverse(X_533)))),bind(X_58,$fot(multiply(X_533,commutator(X_535,X_534))))]]) ).
cnf(refute_0_4617,plain,
( multiply(inverse(multiply(inverse(X_533),inverse(X_533))),inverse(multiply(X_533,commutator(X_535,X_534)))) != inverse(multiply(multiply(X_533,commutator(X_535,X_534)),multiply(inverse(X_533),inverse(X_533))))
| inverse(multiply(multiply(X_533,commutator(X_535,X_534)),multiply(inverse(X_533),inverse(X_533)))) != multiply(X_533,inverse(multiply(multiply(X_533,commutator(X_535,X_534)),inverse(X_533))))
| multiply(inverse(multiply(inverse(X_533),inverse(X_533))),inverse(multiply(X_533,commutator(X_535,X_534)))) = multiply(X_533,inverse(multiply(multiply(X_533,commutator(X_535,X_534)),inverse(X_533)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(inverse(X_533),inverse(X_533))),inverse(multiply(X_533,commutator(X_535,X_534)))))),bind(Y0,$fot(inverse(multiply(multiply(X_533,commutator(X_535,X_534)),multiply(inverse(X_533),inverse(X_533)))))),bind(Z0,$fot(multiply(X_533,inverse(multiply(multiply(X_533,commutator(X_535,X_534)),inverse(X_533))))))]]) ).
cnf(refute_0_4618,plain,
( inverse(multiply(multiply(X_533,commutator(X_535,X_534)),multiply(inverse(X_533),inverse(X_533)))) != multiply(X_533,inverse(multiply(multiply(X_533,commutator(X_535,X_534)),inverse(X_533))))
| multiply(inverse(multiply(inverse(X_533),inverse(X_533))),inverse(multiply(X_533,commutator(X_535,X_534)))) = multiply(X_533,inverse(multiply(multiply(X_533,commutator(X_535,X_534)),inverse(X_533)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_533),inverse(X_533))),inverse(multiply(X_533,commutator(X_535,X_534)))),inverse(multiply(multiply(X_533,commutator(X_535,X_534)),multiply(inverse(X_533),inverse(X_533))))) )],[refute_0_4616,refute_0_4617]) ).
cnf(refute_0_4619,plain,
multiply(inverse(multiply(inverse(X_533),inverse(X_533))),inverse(multiply(X_533,commutator(X_535,X_534)))) = multiply(X_533,inverse(multiply(multiply(X_533,commutator(X_535,X_534)),inverse(X_533)))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_533,commutator(X_535,X_534)),multiply(inverse(X_533),inverse(X_533)))),multiply(X_533,inverse(multiply(multiply(X_533,commutator(X_535,X_534)),inverse(X_533))))) )],[refute_0_4615,refute_0_4618]) ).
cnf(refute_0_4620,plain,
( multiply(X_533,inverse(multiply(multiply(X_533,commutator(X_535,X_534)),inverse(X_533)))) != multiply(X_533,multiply(X_533,inverse(multiply(X_533,commutator(X_535,X_534)))))
| multiply(inverse(multiply(inverse(X_533),inverse(X_533))),inverse(multiply(X_533,commutator(X_535,X_534)))) != multiply(X_533,inverse(multiply(multiply(X_533,commutator(X_535,X_534)),inverse(X_533))))
| multiply(inverse(multiply(inverse(X_533),inverse(X_533))),inverse(multiply(X_533,commutator(X_535,X_534)))) = multiply(X_533,multiply(X_533,inverse(multiply(X_533,commutator(X_535,X_534))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(inverse(X_533),inverse(X_533))),inverse(multiply(X_533,commutator(X_535,X_534)))))),bind(Y0,$fot(multiply(X_533,inverse(multiply(multiply(X_533,commutator(X_535,X_534)),inverse(X_533)))))),bind(Z0,$fot(multiply(X_533,multiply(X_533,inverse(multiply(X_533,commutator(X_535,X_534)))))))]]) ).
cnf(refute_0_4621,plain,
( multiply(X_533,inverse(multiply(multiply(X_533,commutator(X_535,X_534)),inverse(X_533)))) != multiply(X_533,multiply(X_533,inverse(multiply(X_533,commutator(X_535,X_534)))))
| multiply(inverse(multiply(inverse(X_533),inverse(X_533))),inverse(multiply(X_533,commutator(X_535,X_534)))) = multiply(X_533,multiply(X_533,inverse(multiply(X_533,commutator(X_535,X_534))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_533),inverse(X_533))),inverse(multiply(X_533,commutator(X_535,X_534)))),multiply(X_533,inverse(multiply(multiply(X_533,commutator(X_535,X_534)),inverse(X_533))))) )],[refute_0_4619,refute_0_4620]) ).
cnf(refute_0_4622,plain,
multiply(inverse(multiply(inverse(X_533),inverse(X_533))),inverse(multiply(X_533,commutator(X_535,X_534)))) = multiply(X_533,multiply(X_533,inverse(multiply(X_533,commutator(X_535,X_534))))),
inference(resolve,[$cnf( $equal(multiply(X_533,inverse(multiply(multiply(X_533,commutator(X_535,X_534)),inverse(X_533)))),multiply(X_533,multiply(X_533,inverse(multiply(X_533,commutator(X_535,X_534)))))) )],[refute_0_4614,refute_0_4621]) ).
cnf(refute_0_4623,plain,
( multiply(inverse(multiply(inverse(X_533),inverse(X_533))),inverse(multiply(X_533,commutator(X_535,X_534)))) != multiply(X_533,multiply(X_533,inverse(multiply(X_533,commutator(X_535,X_534)))))
| multiply(inverse(multiply(inverse(X_533),inverse(X_533))),inverse(multiply(X_533,commutator(X_535,X_534)))) != multiply(inverse(multiply(inverse(X_533),commutator(X_534,X_535))),multiply(commutator(X_534,X_535),commutator(X_534,X_535)))
| multiply(X_533,multiply(X_533,inverse(multiply(X_533,commutator(X_535,X_534))))) = multiply(inverse(multiply(inverse(X_533),commutator(X_534,X_535))),multiply(commutator(X_534,X_535),commutator(X_534,X_535))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_533),inverse(X_533))),inverse(multiply(X_533,commutator(X_535,X_534)))),multiply(inverse(multiply(inverse(X_533),commutator(X_534,X_535))),multiply(commutator(X_534,X_535),commutator(X_534,X_535)))) ),[0],$fot(multiply(X_533,multiply(X_533,inverse(multiply(X_533,commutator(X_535,X_534))))))]]) ).
cnf(refute_0_4624,plain,
( multiply(inverse(multiply(inverse(X_533),inverse(X_533))),inverse(multiply(X_533,commutator(X_535,X_534)))) != multiply(inverse(multiply(inverse(X_533),commutator(X_534,X_535))),multiply(commutator(X_534,X_535),commutator(X_534,X_535)))
| multiply(X_533,multiply(X_533,inverse(multiply(X_533,commutator(X_535,X_534))))) = multiply(inverse(multiply(inverse(X_533),commutator(X_534,X_535))),multiply(commutator(X_534,X_535),commutator(X_534,X_535))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_533),inverse(X_533))),inverse(multiply(X_533,commutator(X_535,X_534)))),multiply(X_533,multiply(X_533,inverse(multiply(X_533,commutator(X_535,X_534)))))) )],[refute_0_4622,refute_0_4623]) ).
cnf(refute_0_4625,plain,
multiply(commutator(X_535,X_534),multiply(X_533,commutator(multiply(X_534,X_534),X_535))) = multiply(commutator(X_534,X_535),X_533),
inference(subst,[],[refute_0_3161:[bind(X,$fot(X_534)),bind(Z,$fot(X_535)),bind(X_384,$fot(X_533))]]) ).
cnf(refute_0_4626,plain,
multiply(commutator(X_534,X_535),commutator(X_534,X_535)) = commutator(multiply(X_534,X_534),X_535),
inference(subst,[],[refute_0_2686:[bind(X_325,$fot(X_535)),bind(X_90,$fot(X_534))]]) ).
cnf(refute_0_4627,plain,
multiply(X_533,multiply(commutator(X_534,X_535),commutator(X_534,X_535))) = multiply(X_533,multiply(commutator(X_534,X_535),commutator(X_534,X_535))),
introduced(tautology,[refl,[$fot(multiply(X_533,multiply(commutator(X_534,X_535),commutator(X_534,X_535))))]]) ).
cnf(refute_0_4628,plain,
( multiply(X_533,multiply(commutator(X_534,X_535),commutator(X_534,X_535))) != multiply(X_533,multiply(commutator(X_534,X_535),commutator(X_534,X_535)))
| multiply(commutator(X_534,X_535),commutator(X_534,X_535)) != commutator(multiply(X_534,X_534),X_535)
| multiply(X_533,multiply(commutator(X_534,X_535),commutator(X_534,X_535))) = multiply(X_533,commutator(multiply(X_534,X_534),X_535)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_533,multiply(commutator(X_534,X_535),commutator(X_534,X_535))),multiply(X_533,multiply(commutator(X_534,X_535),commutator(X_534,X_535)))) ),[1,1],$fot(commutator(multiply(X_534,X_534),X_535))]]) ).
cnf(refute_0_4629,plain,
( multiply(commutator(X_534,X_535),commutator(X_534,X_535)) != commutator(multiply(X_534,X_534),X_535)
| multiply(X_533,multiply(commutator(X_534,X_535),commutator(X_534,X_535))) = multiply(X_533,commutator(multiply(X_534,X_534),X_535)) ),
inference(resolve,[$cnf( $equal(multiply(X_533,multiply(commutator(X_534,X_535),commutator(X_534,X_535))),multiply(X_533,multiply(commutator(X_534,X_535),commutator(X_534,X_535)))) )],[refute_0_4627,refute_0_4628]) ).
cnf(refute_0_4630,plain,
multiply(X_533,multiply(commutator(X_534,X_535),commutator(X_534,X_535))) = multiply(X_533,commutator(multiply(X_534,X_534),X_535)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_534,X_535),commutator(X_534,X_535)),commutator(multiply(X_534,X_534),X_535)) )],[refute_0_4626,refute_0_4629]) ).
cnf(refute_0_4631,plain,
inverse(inverse(X_533)) = X_533,
inference(subst,[],[refute_0_152:[bind(X_27,$fot(X_533))]]) ).
cnf(refute_0_4632,plain,
multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535))) = multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535))),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535))))]]) ).
cnf(refute_0_4633,plain,
( multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535))) != multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535)))
| inverse(inverse(X_533)) != X_533
| multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535))) = multiply(X_533,multiply(commutator(X_534,X_535),commutator(X_534,X_535))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535))),multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535)))) ),[1,0],$fot(X_533)]]) ).
cnf(refute_0_4634,plain,
( inverse(inverse(X_533)) != X_533
| multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535))) = multiply(X_533,multiply(commutator(X_534,X_535),commutator(X_534,X_535))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535))),multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535)))) )],[refute_0_4632,refute_0_4633]) ).
cnf(refute_0_4635,plain,
multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535))) = multiply(X_533,multiply(commutator(X_534,X_535),commutator(X_534,X_535))),
inference(resolve,[$cnf( $equal(inverse(inverse(X_533)),X_533) )],[refute_0_4631,refute_0_4634]) ).
cnf(refute_0_4636,plain,
( multiply(X_533,multiply(commutator(X_534,X_535),commutator(X_534,X_535))) != multiply(X_533,commutator(multiply(X_534,X_534),X_535))
| multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535))) != multiply(X_533,multiply(commutator(X_534,X_535),commutator(X_534,X_535)))
| multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535))) = multiply(X_533,commutator(multiply(X_534,X_534),X_535)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535))))),bind(Y0,$fot(multiply(X_533,multiply(commutator(X_534,X_535),commutator(X_534,X_535))))),bind(Z0,$fot(multiply(X_533,commutator(multiply(X_534,X_534),X_535))))]]) ).
cnf(refute_0_4637,plain,
( multiply(X_533,multiply(commutator(X_534,X_535),commutator(X_534,X_535))) != multiply(X_533,commutator(multiply(X_534,X_534),X_535))
| multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535))) = multiply(X_533,commutator(multiply(X_534,X_534),X_535)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535))),multiply(X_533,multiply(commutator(X_534,X_535),commutator(X_534,X_535)))) )],[refute_0_4635,refute_0_4636]) ).
cnf(refute_0_4638,plain,
multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535))) = multiply(X_533,commutator(multiply(X_534,X_534),X_535)),
inference(resolve,[$cnf( $equal(multiply(X_533,multiply(commutator(X_534,X_535),commutator(X_534,X_535))),multiply(X_533,commutator(multiply(X_534,X_534),X_535))) )],[refute_0_4630,refute_0_4637]) ).
cnf(refute_0_4639,plain,
multiply(commutator(X_535,X_534),multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535)))) = multiply(commutator(X_535,X_534),multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535)))),
introduced(tautology,[refl,[$fot(multiply(commutator(X_535,X_534),multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535)))))]]) ).
cnf(refute_0_4640,plain,
( multiply(commutator(X_535,X_534),multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535)))) != multiply(commutator(X_535,X_534),multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535))))
| multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535))) != multiply(X_533,commutator(multiply(X_534,X_534),X_535))
| multiply(commutator(X_535,X_534),multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535)))) = multiply(commutator(X_535,X_534),multiply(X_533,commutator(multiply(X_534,X_534),X_535))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_535,X_534),multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535)))),multiply(commutator(X_535,X_534),multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535))))) ),[1,1],$fot(multiply(X_533,commutator(multiply(X_534,X_534),X_535)))]]) ).
cnf(refute_0_4641,plain,
( multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535))) != multiply(X_533,commutator(multiply(X_534,X_534),X_535))
| multiply(commutator(X_535,X_534),multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535)))) = multiply(commutator(X_535,X_534),multiply(X_533,commutator(multiply(X_534,X_534),X_535))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_535,X_534),multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535)))),multiply(commutator(X_535,X_534),multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535))))) )],[refute_0_4639,refute_0_4640]) ).
cnf(refute_0_4642,plain,
multiply(commutator(X_535,X_534),multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535)))) = multiply(commutator(X_535,X_534),multiply(X_533,commutator(multiply(X_534,X_534),X_535))),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535))),multiply(X_533,commutator(multiply(X_534,X_534),X_535))) )],[refute_0_4638,refute_0_4641]) ).
cnf(refute_0_4643,plain,
( multiply(commutator(X_535,X_534),multiply(X_533,commutator(multiply(X_534,X_534),X_535))) != multiply(commutator(X_534,X_535),X_533)
| multiply(commutator(X_535,X_534),multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535)))) != multiply(commutator(X_535,X_534),multiply(X_533,commutator(multiply(X_534,X_534),X_535)))
| multiply(commutator(X_535,X_534),multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535)))) = multiply(commutator(X_534,X_535),X_533) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_535,X_534),multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535)))))),bind(Y0,$fot(multiply(commutator(X_535,X_534),multiply(X_533,commutator(multiply(X_534,X_534),X_535))))),bind(Z0,$fot(multiply(commutator(X_534,X_535),X_533)))]]) ).
cnf(refute_0_4644,plain,
( multiply(commutator(X_535,X_534),multiply(X_533,commutator(multiply(X_534,X_534),X_535))) != multiply(commutator(X_534,X_535),X_533)
| multiply(commutator(X_535,X_534),multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535)))) = multiply(commutator(X_534,X_535),X_533) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_535,X_534),multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535)))),multiply(commutator(X_535,X_534),multiply(X_533,commutator(multiply(X_534,X_534),X_535)))) )],[refute_0_4642,refute_0_4643]) ).
cnf(refute_0_4645,plain,
multiply(commutator(X_535,X_534),multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535)))) = multiply(commutator(X_534,X_535),X_533),
inference(resolve,[$cnf( $equal(multiply(commutator(X_535,X_534),multiply(X_533,commutator(multiply(X_534,X_534),X_535))),multiply(commutator(X_534,X_535),X_533)) )],[refute_0_4625,refute_0_4644]) ).
cnf(refute_0_4646,plain,
multiply(inverse(multiply(inverse(X_533),commutator(X_534,X_535))),multiply(commutator(X_534,X_535),commutator(X_534,X_535))) = multiply(commutator(X_535,X_534),multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535)))),
inference(subst,[],[refute_0_666:[bind(X_366,$fot(multiply(commutator(X_534,X_535),commutator(X_534,X_535)))),bind(X_367,$fot(inverse(X_533))),bind(X_65,$fot(X_534)),bind(X_66,$fot(X_535))]]) ).
cnf(refute_0_4647,plain,
( multiply(commutator(X_535,X_534),multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535)))) != multiply(commutator(X_534,X_535),X_533)
| multiply(inverse(multiply(inverse(X_533),commutator(X_534,X_535))),multiply(commutator(X_534,X_535),commutator(X_534,X_535))) != multiply(commutator(X_535,X_534),multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535))))
| multiply(inverse(multiply(inverse(X_533),commutator(X_534,X_535))),multiply(commutator(X_534,X_535),commutator(X_534,X_535))) = multiply(commutator(X_534,X_535),X_533) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(inverse(X_533),commutator(X_534,X_535))),multiply(commutator(X_534,X_535),commutator(X_534,X_535))))),bind(Y0,$fot(multiply(commutator(X_535,X_534),multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535)))))),bind(Z0,$fot(multiply(commutator(X_534,X_535),X_533)))]]) ).
cnf(refute_0_4648,plain,
( multiply(commutator(X_535,X_534),multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535)))) != multiply(commutator(X_534,X_535),X_533)
| multiply(inverse(multiply(inverse(X_533),commutator(X_534,X_535))),multiply(commutator(X_534,X_535),commutator(X_534,X_535))) = multiply(commutator(X_534,X_535),X_533) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_533),commutator(X_534,X_535))),multiply(commutator(X_534,X_535),commutator(X_534,X_535))),multiply(commutator(X_535,X_534),multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535))))) )],[refute_0_4646,refute_0_4647]) ).
cnf(refute_0_4649,plain,
multiply(inverse(multiply(inverse(X_533),commutator(X_534,X_535))),multiply(commutator(X_534,X_535),commutator(X_534,X_535))) = multiply(commutator(X_534,X_535),X_533),
inference(resolve,[$cnf( $equal(multiply(commutator(X_535,X_534),multiply(inverse(inverse(X_533)),multiply(commutator(X_534,X_535),commutator(X_534,X_535)))),multiply(commutator(X_534,X_535),X_533)) )],[refute_0_4645,refute_0_4648]) ).
cnf(refute_0_4650,plain,
( multiply(X_533,multiply(X_533,inverse(multiply(X_533,commutator(X_535,X_534))))) != multiply(inverse(multiply(inverse(X_533),commutator(X_534,X_535))),multiply(commutator(X_534,X_535),commutator(X_534,X_535)))
| multiply(inverse(multiply(inverse(X_533),commutator(X_534,X_535))),multiply(commutator(X_534,X_535),commutator(X_534,X_535))) != multiply(commutator(X_534,X_535),X_533)
| multiply(X_533,multiply(X_533,inverse(multiply(X_533,commutator(X_535,X_534))))) = multiply(commutator(X_534,X_535),X_533) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_533,multiply(X_533,inverse(multiply(X_533,commutator(X_535,X_534))))),multiply(commutator(X_534,X_535),X_533)) ),[0],$fot(multiply(inverse(multiply(inverse(X_533),commutator(X_534,X_535))),multiply(commutator(X_534,X_535),commutator(X_534,X_535))))]]) ).
cnf(refute_0_4651,plain,
( multiply(X_533,multiply(X_533,inverse(multiply(X_533,commutator(X_535,X_534))))) != multiply(inverse(multiply(inverse(X_533),commutator(X_534,X_535))),multiply(commutator(X_534,X_535),commutator(X_534,X_535)))
| multiply(X_533,multiply(X_533,inverse(multiply(X_533,commutator(X_535,X_534))))) = multiply(commutator(X_534,X_535),X_533) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_533),commutator(X_534,X_535))),multiply(commutator(X_534,X_535),commutator(X_534,X_535))),multiply(commutator(X_534,X_535),X_533)) )],[refute_0_4649,refute_0_4650]) ).
cnf(refute_0_4652,plain,
( multiply(inverse(multiply(inverse(X_533),inverse(X_533))),inverse(multiply(X_533,commutator(X_535,X_534)))) != multiply(inverse(multiply(inverse(X_533),commutator(X_534,X_535))),multiply(commutator(X_534,X_535),commutator(X_534,X_535)))
| multiply(X_533,multiply(X_533,inverse(multiply(X_533,commutator(X_535,X_534))))) = multiply(commutator(X_534,X_535),X_533) ),
inference(resolve,[$cnf( $equal(multiply(X_533,multiply(X_533,inverse(multiply(X_533,commutator(X_535,X_534))))),multiply(inverse(multiply(inverse(X_533),commutator(X_534,X_535))),multiply(commutator(X_534,X_535),commutator(X_534,X_535)))) )],[refute_0_4624,refute_0_4651]) ).
cnf(refute_0_4653,plain,
multiply(X_533,multiply(X_533,inverse(multiply(X_533,commutator(X_535,X_534))))) = multiply(commutator(X_534,X_535),X_533),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_533),inverse(X_533))),inverse(multiply(X_533,commutator(X_535,X_534)))),multiply(inverse(multiply(inverse(X_533),commutator(X_534,X_535))),multiply(commutator(X_534,X_535),commutator(X_534,X_535)))) )],[refute_0_4609,refute_0_4652]) ).
cnf(refute_0_4654,plain,
multiply(X_90,multiply(X_90,inverse(multiply(X_90,commutator(X_334,X_333))))) = multiply(commutator(X_333,X_334),X_90),
inference(subst,[],[refute_0_4653:[bind(X_533,$fot(X_90)),bind(X_534,$fot(X_333)),bind(X_535,$fot(X_334))]]) ).
cnf(refute_0_4655,plain,
( multiply(X_90,multiply(X_90,inverse(multiply(X_90,commutator(X_334,X_333))))) != multiply(commutator(X_333,X_334),X_90)
| multiply(X_90,multiply(commutator(X_334,commutator(X_333,X_90)),commutator(X_333,X_334))) != multiply(X_90,multiply(X_90,inverse(multiply(X_90,commutator(X_334,X_333)))))
| multiply(X_90,multiply(commutator(X_334,commutator(X_333,X_90)),commutator(X_333,X_334))) = multiply(commutator(X_333,X_334),X_90) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_90,multiply(commutator(X_334,commutator(X_333,X_90)),commutator(X_333,X_334))),multiply(X_90,multiply(X_90,inverse(multiply(X_90,commutator(X_334,X_333)))))) ),[1],$fot(multiply(commutator(X_333,X_334),X_90))]]) ).
cnf(refute_0_4656,plain,
( multiply(X_90,multiply(commutator(X_334,commutator(X_333,X_90)),commutator(X_333,X_334))) != multiply(X_90,multiply(X_90,inverse(multiply(X_90,commutator(X_334,X_333)))))
| multiply(X_90,multiply(commutator(X_334,commutator(X_333,X_90)),commutator(X_333,X_334))) = multiply(commutator(X_333,X_334),X_90) ),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(X_90,inverse(multiply(X_90,commutator(X_334,X_333))))),multiply(commutator(X_333,X_334),X_90)) )],[refute_0_4654,refute_0_4655]) ).
cnf(refute_0_4657,plain,
multiply(X_90,multiply(commutator(X_334,commutator(X_333,X_90)),commutator(X_333,X_334))) = multiply(commutator(X_333,X_334),X_90),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(commutator(X_334,commutator(X_333,X_90)),commutator(X_333,X_334))),multiply(X_90,multiply(X_90,inverse(multiply(X_90,commutator(X_334,X_333)))))) )],[refute_0_4602,refute_0_4656]) ).
cnf(refute_0_4658,plain,
multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))) = multiply(commutator(X_283,X_282),X_281),
inference(subst,[],[refute_0_4657:[bind(X_333,$fot(X_283)),bind(X_334,$fot(X_282)),bind(X_90,$fot(X_281))]]) ).
cnf(refute_0_4659,plain,
multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))) = multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))),
introduced(tautology,[refl,[$fot(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))]]) ).
cnf(refute_0_4660,plain,
( multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))) != multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))
| multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))) != multiply(commutator(X_283,X_282),X_281)
| multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))) = multiply(X_162,multiply(commutator(X_283,X_282),X_281)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))),multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))) ),[1,1],$fot(multiply(commutator(X_283,X_282),X_281))]]) ).
cnf(refute_0_4661,plain,
( multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))) != multiply(commutator(X_283,X_282),X_281)
| multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))) = multiply(X_162,multiply(commutator(X_283,X_282),X_281)) ),
inference(resolve,[$cnf( $equal(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))),multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))) )],[refute_0_4659,refute_0_4660]) ).
cnf(refute_0_4662,plain,
multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))) = multiply(X_162,multiply(commutator(X_283,X_282),X_281)),
inference(resolve,[$cnf( $equal(multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))),multiply(commutator(X_283,X_282),X_281)) )],[refute_0_4658,refute_0_4661]) ).
cnf(refute_0_4663,plain,
inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))) = inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))))]]) ).
cnf(refute_0_4664,plain,
( multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))) != multiply(X_162,multiply(commutator(X_283,X_282),X_281))
| inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))) != inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))
| inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))) = inverse(multiply(X_162,multiply(commutator(X_283,X_282),X_281))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))),inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))) ),[1,0],$fot(multiply(X_162,multiply(commutator(X_283,X_282),X_281)))]]) ).
cnf(refute_0_4665,plain,
( multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))) != multiply(X_162,multiply(commutator(X_283,X_282),X_281))
| inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))) = inverse(multiply(X_162,multiply(commutator(X_283,X_282),X_281))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))),inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))) )],[refute_0_4663,refute_0_4664]) ).
cnf(refute_0_4666,plain,
inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))) = inverse(multiply(X_162,multiply(commutator(X_283,X_282),X_281))),
inference(resolve,[$cnf( $equal(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))),multiply(X_162,multiply(commutator(X_283,X_282),X_281))) )],[refute_0_4662,refute_0_4665]) ).
cnf(refute_0_4667,plain,
multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))) = multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))),
introduced(tautology,[refl,[$fot(multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))))]]) ).
cnf(refute_0_4668,plain,
( multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))) != multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))))
| inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))) != inverse(multiply(X_162,multiply(commutator(X_283,X_282),X_281)))
| multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))) = multiply(X_162,inverse(multiply(X_162,multiply(commutator(X_283,X_282),X_281)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))))) ),[1,1],$fot(inverse(multiply(X_162,multiply(commutator(X_283,X_282),X_281))))]]) ).
cnf(refute_0_4669,plain,
( inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))) != inverse(multiply(X_162,multiply(commutator(X_283,X_282),X_281)))
| multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))) = multiply(X_162,inverse(multiply(X_162,multiply(commutator(X_283,X_282),X_281)))) ),
inference(resolve,[$cnf( $equal(multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))))) )],[refute_0_4667,refute_0_4668]) ).
cnf(refute_0_4670,plain,
multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))) = multiply(X_162,inverse(multiply(X_162,multiply(commutator(X_283,X_282),X_281)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))),inverse(multiply(X_162,multiply(commutator(X_283,X_282),X_281)))) )],[refute_0_4666,refute_0_4669]) ).
cnf(refute_0_4671,plain,
multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))))) = multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))))),
introduced(tautology,[refl,[$fot(multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))))))]]) ).
cnf(refute_0_4672,plain,
( multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))) != multiply(X_162,inverse(multiply(X_162,multiply(commutator(X_283,X_282),X_281))))
| multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))))) != multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))))
| multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))))) = multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(commutator(X_283,X_282),X_281))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))))),multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))))) ),[1,1],$fot(multiply(X_162,inverse(multiply(X_162,multiply(commutator(X_283,X_282),X_281)))))]]) ).
cnf(refute_0_4673,plain,
( multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))) != multiply(X_162,inverse(multiply(X_162,multiply(commutator(X_283,X_282),X_281))))
| multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))))) = multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(commutator(X_283,X_282),X_281))))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))))),multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))))) )],[refute_0_4671,refute_0_4672]) ).
cnf(refute_0_4674,plain,
multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))))) = multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(commutator(X_283,X_282),X_281))))),
inference(resolve,[$cnf( $equal(multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))),multiply(X_162,inverse(multiply(X_162,multiply(commutator(X_283,X_282),X_281))))) )],[refute_0_4670,refute_0_4673]) ).
cnf(refute_0_4675,plain,
multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))))) = multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))))),
introduced(tautology,[refl,[$fot(multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))))))]]) ).
cnf(refute_0_4676,plain,
( multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))))) != multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))))))
| multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))))) != multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(commutator(X_283,X_282),X_281)))))
| multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))))) = multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(commutator(X_283,X_282),X_281)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))))),multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))))))) ),[1,1],$fot(multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(commutator(X_283,X_282),X_281))))))]]) ).
cnf(refute_0_4677,plain,
( multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))))) != multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(commutator(X_283,X_282),X_281)))))
| multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))))) = multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(commutator(X_283,X_282),X_281)))))) ),
inference(resolve,[$cnf( $equal(multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))))),multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))))))) )],[refute_0_4675,refute_0_4676]) ).
cnf(refute_0_4678,plain,
multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))))) = multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(commutator(X_283,X_282),X_281)))))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))))),multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(commutator(X_283,X_282),X_281)))))) )],[refute_0_4674,refute_0_4677]) ).
cnf(refute_0_4679,plain,
( multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))))) != multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(commutator(X_283,X_282),X_281))))))
| multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(commutator(X_283,X_282),X_281)))))) != commutator(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,inverse(X_281)))
| multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))))) = commutator(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,inverse(X_281))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))))))),bind(Y0,$fot(multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(commutator(X_283,X_282),X_281)))))))),bind(Z0,$fot(commutator(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,inverse(X_281)))))]]) ).
cnf(refute_0_4680,plain,
( multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(commutator(X_283,X_282),X_281)))))) != commutator(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,inverse(X_281)))
| multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))))) = commutator(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,inverse(X_281))) ),
inference(resolve,[$cnf( $equal(multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))))),multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(commutator(X_283,X_282),X_281))))))) )],[refute_0_4678,refute_0_4679]) ).
cnf(refute_0_4681,plain,
multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))))) = commutator(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,inverse(X_281))),
inference(resolve,[$cnf( $equal(multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(commutator(X_283,X_282),X_281)))))),commutator(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,inverse(X_281)))) )],[refute_0_4374,refute_0_4680]) ).
cnf(refute_0_4682,plain,
( multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))))) != commutator(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,inverse(X_281)))
| commutator(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,commutator(X_282,X_283))) != multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))))))
| commutator(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,commutator(X_282,X_283))) = commutator(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,inverse(X_281))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,commutator(X_282,X_283))),multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))))))) ),[1],$fot(commutator(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,inverse(X_281))))]]) ).
cnf(refute_0_4683,plain,
( commutator(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,commutator(X_282,X_283))) != multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))))))
| commutator(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,commutator(X_282,X_283))) = commutator(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,inverse(X_281))) ),
inference(resolve,[$cnf( $equal(multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282)))))))),commutator(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,inverse(X_281)))) )],[refute_0_4681,refute_0_4682]) ).
cnf(refute_0_4684,plain,
commutator(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,commutator(X_282,X_283))) = commutator(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,inverse(X_281))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_281,commutator(X_283,X_282)),multiply(X_162,commutator(X_282,X_283))),multiply(X_281,multiply(commutator(X_283,X_282),multiply(X_162,inverse(multiply(X_162,multiply(X_281,multiply(commutator(X_282,commutator(X_283,X_281)),commutator(X_283,X_282))))))))) )],[refute_0_4339,refute_0_4683]) ).
cnf(refute_0_4685,plain,
commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,commutator(X_436,X_161))) = commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,inverse(X_161))),
inference(subst,[],[refute_0_4684:[bind(X_281,$fot(X_161)),bind(X_282,$fot(X_436)),bind(X_283,$fot(X_161))]]) ).
cnf(refute_0_4686,plain,
( commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,X_161)) != commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,commutator(X_436,X_161)))
| commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,commutator(X_436,X_161))) != commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,inverse(X_161)))
| commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,X_161)) = commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,inverse(X_161))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,X_161)),commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,inverse(X_161)))) ),[0],$fot(commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,commutator(X_436,X_161))))]]) ).
cnf(refute_0_4687,plain,
( commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,X_161)) != commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,commutator(X_436,X_161)))
| commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,X_161)) = commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,inverse(X_161))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,commutator(X_436,X_161))),commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,inverse(X_161)))) )],[refute_0_4685,refute_0_4686]) ).
cnf(refute_0_4688,plain,
commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,X_161)) = commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,inverse(X_161))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,X_161)),commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,commutator(X_436,X_161)))) )],[refute_0_4299,refute_0_4687]) ).
cnf(refute_0_4689,plain,
( commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,X_161)) != commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,inverse(X_161)))
| commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,inverse(X_161))) = commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,X_161)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,X_161)))),bind(Y0,$fot(commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,inverse(X_161)))))]]) ).
cnf(refute_0_4690,plain,
commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,inverse(X_161))) = commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,X_161)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,X_161)),commutator(multiply(X_161,commutator(X_161,X_436)),multiply(X_162,inverse(X_161)))) )],[refute_0_4688,refute_0_4689]) ).
cnf(refute_0_4691,plain,
commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,inverse(X_183))) = commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,X_183)),
inference(subst,[],[refute_0_4690:[bind(X_161,$fot(X_183)),bind(X_162,$fot(X_618)),bind(X_436,$fot(X_182))]]) ).
cnf(refute_0_4692,plain,
commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,commutator(X_183,X_182))) = commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,inverse(X_183))),
inference(subst,[],[refute_0_1692:[bind(X_10,$fot(X_183)),bind(X_161,$fot(commutator(X_183,X_182))),bind(X_162,$fot(X_618))]]) ).
cnf(refute_0_4693,plain,
( commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,commutator(X_183,X_182))) != commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,inverse(X_183)))
| commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,inverse(X_183))) != commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,X_183))
| commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,commutator(X_183,X_182))) = commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,X_183)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,commutator(X_183,X_182))))),bind(Y0,$fot(commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,inverse(X_183))))),bind(Z0,$fot(commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,X_183))))]]) ).
cnf(refute_0_4694,plain,
( commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,inverse(X_183))) != commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,X_183))
| commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,commutator(X_183,X_182))) = commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,X_183)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,commutator(X_183,X_182))),commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,inverse(X_183)))) )],[refute_0_4692,refute_0_4693]) ).
cnf(refute_0_4695,plain,
commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,commutator(X_183,X_182))) = commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,X_183)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,inverse(X_183))),commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,X_183))) )],[refute_0_4691,refute_0_4694]) ).
cnf(refute_0_4696,plain,
( commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,commutator(X_183,X_182))) != commutator(multiply(X_183,commutator(X_183,X_182)),X_618)
| commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,commutator(X_183,X_182))) != commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,X_183))
| commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,X_183)) = commutator(multiply(X_183,commutator(X_183,X_182)),X_618) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,commutator(X_183,X_182))),commutator(multiply(X_183,commutator(X_183,X_182)),X_618)) ),[0],$fot(commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,X_183)))]]) ).
cnf(refute_0_4697,plain,
( commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,commutator(X_183,X_182))) != commutator(multiply(X_183,commutator(X_183,X_182)),X_618)
| commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,X_183)) = commutator(multiply(X_183,commutator(X_183,X_182)),X_618) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,commutator(X_183,X_182))),commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,X_183))) )],[refute_0_4695,refute_0_4696]) ).
cnf(refute_0_4698,plain,
commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,X_183)) = commutator(multiply(X_183,commutator(X_183,X_182)),X_618),
inference(resolve,[$cnf( $equal(commutator(multiply(X_183,commutator(X_183,X_182)),multiply(X_618,commutator(X_183,X_182))),commutator(multiply(X_183,commutator(X_183,X_182)),X_618)) )],[refute_0_4275,refute_0_4697]) ).
cnf(refute_0_4699,plain,
commutator(multiply(X_161,commutator(X_161,Y)),multiply(X_162,X_161)) = commutator(multiply(X_161,commutator(X_161,Y)),X_162),
inference(subst,[],[refute_0_4698:[bind(X_182,$fot(Y)),bind(X_183,$fot(X_161)),bind(X_618,$fot(X_162))]]) ).
cnf(refute_0_4700,plain,
( commutator(multiply(X_161,commutator(X_161,Y)),multiply(X_162,X_161)) != multiply(commutator(X_161,X_162),commutator(X_161,commutator(Y,X_162)))
| commutator(multiply(X_161,commutator(X_161,Y)),multiply(X_162,X_161)) != commutator(multiply(X_161,commutator(X_161,Y)),X_162)
| commutator(multiply(X_161,commutator(X_161,Y)),X_162) = multiply(commutator(X_161,X_162),commutator(X_161,commutator(Y,X_162))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_161,commutator(X_161,Y)),multiply(X_162,X_161)),multiply(commutator(X_161,X_162),commutator(X_161,commutator(Y,X_162)))) ),[0],$fot(commutator(multiply(X_161,commutator(X_161,Y)),X_162))]]) ).
cnf(refute_0_4701,plain,
( commutator(multiply(X_161,commutator(X_161,Y)),multiply(X_162,X_161)) != multiply(commutator(X_161,X_162),commutator(X_161,commutator(Y,X_162)))
| commutator(multiply(X_161,commutator(X_161,Y)),X_162) = multiply(commutator(X_161,X_162),commutator(X_161,commutator(Y,X_162))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_161,commutator(X_161,Y)),multiply(X_162,X_161)),commutator(multiply(X_161,commutator(X_161,Y)),X_162)) )],[refute_0_4699,refute_0_4700]) ).
cnf(refute_0_4702,plain,
commutator(multiply(X_161,commutator(X_161,Y)),X_162) = multiply(commutator(X_161,X_162),commutator(X_161,commutator(Y,X_162))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_161,commutator(X_161,Y)),multiply(X_162,X_161)),multiply(commutator(X_161,X_162),commutator(X_161,commutator(Y,X_162)))) )],[refute_0_4175,refute_0_4701]) ).
cnf(refute_0_4703,plain,
( commutator(multiply(X_161,commutator(X_161,Y)),X_162) != multiply(commutator(X_161,X_162),commutator(X_161,commutator(Y,X_162)))
| multiply(commutator(X_161,X_162),commutator(X_161,commutator(Y,X_162))) = commutator(multiply(X_161,commutator(X_161,Y)),X_162) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(multiply(X_161,commutator(X_161,Y)),X_162))),bind(Y0,$fot(multiply(commutator(X_161,X_162),commutator(X_161,commutator(Y,X_162)))))]]) ).
cnf(refute_0_4704,plain,
multiply(commutator(X_161,X_162),commutator(X_161,commutator(Y,X_162))) = commutator(multiply(X_161,commutator(X_161,Y)),X_162),
inference(resolve,[$cnf( $equal(commutator(multiply(X_161,commutator(X_161,Y)),X_162),multiply(commutator(X_161,X_162),commutator(X_161,commutator(Y,X_162)))) )],[refute_0_4702,refute_0_4703]) ).
cnf(refute_0_4705,plain,
multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_128,X_608))) = commutator(multiply(X_607,commutator(X_607,X_128)),X_608),
inference(subst,[],[refute_0_4704:[bind(Y,$fot(X_128)),bind(X_161,$fot(X_607)),bind(X_162,$fot(X_608))]]) ).
cnf(refute_0_4706,plain,
( multiply(commutator(X_607,X_608),commutator(X_128,commutator(X_608,X_607))) != multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_128,X_608)))
| multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_128,X_608))) != commutator(multiply(X_607,commutator(X_607,X_128)),X_608)
| multiply(commutator(X_607,X_608),commutator(X_128,commutator(X_608,X_607))) = commutator(multiply(X_607,commutator(X_607,X_128)),X_608) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(commutator(X_607,X_608),commutator(X_128,commutator(X_608,X_607))),commutator(multiply(X_607,commutator(X_607,X_128)),X_608)) ),[0],$fot(multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_128,X_608))))]]) ).
cnf(refute_0_4707,plain,
( multiply(commutator(X_607,X_608),commutator(X_128,commutator(X_608,X_607))) != multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_128,X_608)))
| multiply(commutator(X_607,X_608),commutator(X_128,commutator(X_608,X_607))) = commutator(multiply(X_607,commutator(X_607,X_128)),X_608) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_128,X_608))),commutator(multiply(X_607,commutator(X_607,X_128)),X_608)) )],[refute_0_4705,refute_0_4706]) ).
cnf(refute_0_4708,plain,
multiply(commutator(X_607,X_608),commutator(X_128,commutator(X_608,X_607))) = commutator(multiply(X_607,commutator(X_607,X_128)),X_608),
inference(resolve,[$cnf( $equal(multiply(commutator(X_607,X_608),commutator(X_128,commutator(X_608,X_607))),multiply(commutator(X_607,X_608),commutator(X_607,commutator(X_128,X_608)))) )],[refute_0_4134,refute_0_4707]) ).
cnf(refute_0_4709,plain,
multiply(commutator(X_333,X_334),commutator(X_135,commutator(X_334,X_333))) = commutator(multiply(X_333,commutator(X_333,X_135)),X_334),
inference(subst,[],[refute_0_4708:[bind(X_128,$fot(X_135)),bind(X_607,$fot(X_333)),bind(X_608,$fot(X_334))]]) ).
cnf(refute_0_4710,plain,
( multiply(commutator(X_333,X_334),commutator(X_135,commutator(X_334,X_333))) != commutator(multiply(X_333,commutator(X_333,X_135)),X_334)
| multiply(commutator(X_333,X_334),commutator(X_333,commutator(X_334,X_135))) != multiply(commutator(X_333,X_334),commutator(X_135,commutator(X_334,X_333)))
| multiply(commutator(X_333,X_334),commutator(X_333,commutator(X_334,X_135))) = commutator(multiply(X_333,commutator(X_333,X_135)),X_334) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_333,X_334),commutator(X_333,commutator(X_334,X_135))),multiply(commutator(X_333,X_334),commutator(X_135,commutator(X_334,X_333)))) ),[1],$fot(commutator(multiply(X_333,commutator(X_333,X_135)),X_334))]]) ).
cnf(refute_0_4711,plain,
( multiply(commutator(X_333,X_334),commutator(X_333,commutator(X_334,X_135))) != multiply(commutator(X_333,X_334),commutator(X_135,commutator(X_334,X_333)))
| multiply(commutator(X_333,X_334),commutator(X_333,commutator(X_334,X_135))) = commutator(multiply(X_333,commutator(X_333,X_135)),X_334) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_333,X_334),commutator(X_135,commutator(X_334,X_333))),commutator(multiply(X_333,commutator(X_333,X_135)),X_334)) )],[refute_0_4709,refute_0_4710]) ).
cnf(refute_0_4712,plain,
multiply(commutator(X_333,X_334),commutator(X_333,commutator(X_334,X_135))) = commutator(multiply(X_333,commutator(X_333,X_135)),X_334),
inference(resolve,[$cnf( $equal(multiply(commutator(X_333,X_334),commutator(X_333,commutator(X_334,X_135))),multiply(commutator(X_333,X_334),commutator(X_135,commutator(X_334,X_333)))) )],[refute_0_3906,refute_0_4711]) ).
cnf(refute_0_4713,plain,
multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27))) = commutator(multiply(X_470,commutator(X_470,X_27)),X_471),
inference(subst,[],[refute_0_4712:[bind(X_135,$fot(X_27)),bind(X_333,$fot(X_470)),bind(X_334,$fot(X_471))]]) ).
cnf(refute_0_4714,plain,
multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))) = multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))),
introduced(tautology,[refl,[$fot(multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))]]) ).
cnf(refute_0_4715,plain,
( multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))) != multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27))))
| multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27))) != commutator(multiply(X_470,commutator(X_470,X_27)),X_471)
| multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))) = multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))),multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27))))) ),[1,1],$fot(commutator(multiply(X_470,commutator(X_470,X_27)),X_471))]]) ).
cnf(refute_0_4716,plain,
( multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27))) != commutator(multiply(X_470,commutator(X_470,X_27)),X_471)
| multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))) = multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)) ),
inference(resolve,[$cnf( $equal(multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))),multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27))))) )],[refute_0_4714,refute_0_4715]) ).
cnf(refute_0_4717,plain,
multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))) = multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27))),commutator(multiply(X_470,commutator(X_470,X_27)),X_471)) )],[refute_0_4713,refute_0_4716]) ).
cnf(refute_0_4718,plain,
multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27))))) = multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27))))),
introduced(tautology,[refl,[$fot(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27))))))]]) ).
cnf(refute_0_4719,plain,
( multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27))))) != multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))
| multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))) != multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471))
| multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27))))) = multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27))))),multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))) ),[1,1],$fot(multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))]]) ).
cnf(refute_0_4720,plain,
( multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))) != multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471))
| multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27))))) = multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471))) ),
inference(resolve,[$cnf( $equal(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27))))),multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))) )],[refute_0_4718,refute_0_4719]) ).
cnf(refute_0_4721,plain,
multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27))))) = multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471))),
inference(resolve,[$cnf( $equal(multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))),multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471))) )],[refute_0_4717,refute_0_4720]) ).
cnf(refute_0_4722,plain,
inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))) = inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))))]]) ).
cnf(refute_0_4723,plain,
( multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27))))) != multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))
| inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))) != inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27))))))
| inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))) = inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27))))))) ),[1,0],$fot(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471))))]]) ).
cnf(refute_0_4724,plain,
( multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27))))) != multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))
| inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))) = inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27))))))) )],[refute_0_4722,refute_0_4723]) ).
cnf(refute_0_4725,plain,
inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))) = inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),
inference(resolve,[$cnf( $equal(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27))))),multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))) )],[refute_0_4721,refute_0_4724]) ).
cnf(refute_0_4726,plain,
multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) = multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))]]) ).
cnf(refute_0_4727,plain,
( multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) != multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))
| inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))) != inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471))))
| multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) = multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))),multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) ),[1,0],$fot(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))))]]) ).
cnf(refute_0_4728,plain,
( inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))) != inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471))))
| multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) = multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))),multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) )],[refute_0_4726,refute_0_4727]) ).
cnf(refute_0_4729,plain,
multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) = multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471))))) )],[refute_0_4725,refute_0_4728]) ).
cnf(refute_0_4730,plain,
multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) = multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))),
introduced(tautology,[refl,[$fot(multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))))]]) ).
cnf(refute_0_4731,plain,
( multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) != multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))
| multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) != multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))
| multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) = multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))),multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))) ),[1,1],$fot(multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))]]) ).
cnf(refute_0_4732,plain,
( multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) != multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))
| multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) = multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) ),
inference(resolve,[$cnf( $equal(multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))),multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))) )],[refute_0_4730,refute_0_4731]) ).
cnf(refute_0_4733,plain,
multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) = multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))),multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) )],[refute_0_4729,refute_0_4732]) ).
cnf(refute_0_4734,plain,
( multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) != multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))
| commutator(X_471,commutator(X_470,X_27)) != multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))
| commutator(X_471,commutator(X_470,X_27)) = multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_471,commutator(X_470,X_27)),multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))) ),[1],$fot(multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))))]]) ).
cnf(refute_0_4735,plain,
( commutator(X_471,commutator(X_470,X_27)) != multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))
| commutator(X_471,commutator(X_470,X_27)) = multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) ),
inference(resolve,[$cnf( $equal(multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))),multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))) )],[refute_0_4733,refute_0_4734]) ).
cnf(refute_0_4736,plain,
( commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470)))) != multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))
| commutator(X_471,commutator(X_470,X_27)) = multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) ),
inference(resolve,[$cnf( $equal(commutator(X_471,commutator(X_470,X_27)),multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))) )],[refute_0_3856,refute_0_4735]) ).
cnf(refute_0_4737,plain,
commutator(X_471,commutator(X_470,X_27)) = multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))),
inference(resolve,[$cnf( $equal(commutator(X_471,commutator(X_470,multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,multiply(commutator(X_470,X_471),commutator(X_470,commutator(X_471,X_27)))))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))) )],[refute_0_3793,refute_0_4736]) ).
cnf(refute_0_4738,plain,
( identity != multiply(X_23,inverse(X_23))
| multiply(X_23,inverse(X_23)) = identity ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(identity)),bind(Y0,$fot(multiply(X_23,inverse(X_23))))]]) ).
cnf(refute_0_4739,plain,
multiply(X_23,inverse(X_23)) = identity,
inference(resolve,[$cnf( $equal(identity,multiply(X_23,inverse(X_23))) )],[refute_0_131,refute_0_4738]) ).
cnf(refute_0_4740,plain,
multiply(X_27,inverse(X_27)) = identity,
inference(subst,[],[refute_0_4739:[bind(X_23,$fot(X_27))]]) ).
cnf(refute_0_4741,plain,
multiply(inverse(X_470),X_470) = identity,
inference(subst,[],[left_inverse:[bind(X,$fot(X_470))]]) ).
cnf(refute_0_4742,plain,
multiply(X_27,multiply(inverse(X_470),X_470)) = multiply(X_27,multiply(inverse(X_470),X_470)),
introduced(tautology,[refl,[$fot(multiply(X_27,multiply(inverse(X_470),X_470)))]]) ).
cnf(refute_0_4743,plain,
( multiply(X_27,multiply(inverse(X_470),X_470)) != multiply(X_27,multiply(inverse(X_470),X_470))
| multiply(inverse(X_470),X_470) != identity
| multiply(X_27,multiply(inverse(X_470),X_470)) = multiply(X_27,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_27,multiply(inverse(X_470),X_470)),multiply(X_27,multiply(inverse(X_470),X_470))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_4744,plain,
( multiply(inverse(X_470),X_470) != identity
| multiply(X_27,multiply(inverse(X_470),X_470)) = multiply(X_27,identity) ),
inference(resolve,[$cnf( $equal(multiply(X_27,multiply(inverse(X_470),X_470)),multiply(X_27,multiply(inverse(X_470),X_470))) )],[refute_0_4742,refute_0_4743]) ).
cnf(refute_0_4745,plain,
multiply(X_27,multiply(inverse(X_470),X_470)) = multiply(X_27,identity),
inference(resolve,[$cnf( $equal(multiply(inverse(X_470),X_470),identity) )],[refute_0_4741,refute_0_4744]) ).
cnf(refute_0_4746,plain,
( multiply(X_27,multiply(inverse(X_470),X_470)) != multiply(X_27,identity)
| multiply(X_27,identity) != X_27
| multiply(X_27,multiply(inverse(X_470),X_470)) = X_27 ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_27,multiply(inverse(X_470),X_470)))),bind(Y0,$fot(multiply(X_27,identity))),bind(Z0,$fot(X_27))]]) ).
cnf(refute_0_4747,plain,
( multiply(X_27,identity) != X_27
| multiply(X_27,multiply(inverse(X_470),X_470)) = X_27 ),
inference(resolve,[$cnf( $equal(multiply(X_27,multiply(inverse(X_470),X_470)),multiply(X_27,identity)) )],[refute_0_4745,refute_0_4746]) ).
cnf(refute_0_4748,plain,
multiply(X_27,multiply(inverse(X_470),X_470)) = X_27,
inference(resolve,[$cnf( $equal(multiply(X_27,identity),X_27) )],[refute_0_149,refute_0_4747]) ).
cnf(refute_0_4749,plain,
inverse(multiply(X_27,multiply(inverse(X_470),X_470))) = inverse(multiply(X_27,multiply(inverse(X_470),X_470))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_27,multiply(inverse(X_470),X_470))))]]) ).
cnf(refute_0_4750,plain,
( multiply(X_27,multiply(inverse(X_470),X_470)) != X_27
| inverse(multiply(X_27,multiply(inverse(X_470),X_470))) != inverse(multiply(X_27,multiply(inverse(X_470),X_470)))
| inverse(multiply(X_27,multiply(inverse(X_470),X_470))) = inverse(X_27) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_27,multiply(inverse(X_470),X_470))),inverse(multiply(X_27,multiply(inverse(X_470),X_470)))) ),[1,0],$fot(X_27)]]) ).
cnf(refute_0_4751,plain,
( multiply(X_27,multiply(inverse(X_470),X_470)) != X_27
| inverse(multiply(X_27,multiply(inverse(X_470),X_470))) = inverse(X_27) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_27,multiply(inverse(X_470),X_470))),inverse(multiply(X_27,multiply(inverse(X_470),X_470)))) )],[refute_0_4749,refute_0_4750]) ).
cnf(refute_0_4752,plain,
inverse(multiply(X_27,multiply(inverse(X_470),X_470))) = inverse(X_27),
inference(resolve,[$cnf( $equal(multiply(X_27,multiply(inverse(X_470),X_470)),X_27) )],[refute_0_4748,refute_0_4751]) ).
cnf(refute_0_4753,plain,
multiply(inverse(X_470),multiply(X_470,inverse(X_27))) = inverse(multiply(X_27,multiply(inverse(X_470),X_470))),
inference(subst,[],[refute_0_1684:[bind(X_58,$fot(X_27)),bind(X_73,$fot(X_470)),bind(X_74,$fot(X_470))]]) ).
cnf(refute_0_4754,plain,
( multiply(inverse(X_470),multiply(X_470,inverse(X_27))) != inverse(multiply(X_27,multiply(inverse(X_470),X_470)))
| inverse(multiply(X_27,multiply(inverse(X_470),X_470))) != inverse(X_27)
| multiply(inverse(X_470),multiply(X_470,inverse(X_27))) = inverse(X_27) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(X_470),multiply(X_470,inverse(X_27))))),bind(Y0,$fot(inverse(multiply(X_27,multiply(inverse(X_470),X_470))))),bind(Z0,$fot(inverse(X_27)))]]) ).
cnf(refute_0_4755,plain,
( inverse(multiply(X_27,multiply(inverse(X_470),X_470))) != inverse(X_27)
| multiply(inverse(X_470),multiply(X_470,inverse(X_27))) = inverse(X_27) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_470),multiply(X_470,inverse(X_27))),inverse(multiply(X_27,multiply(inverse(X_470),X_470)))) )],[refute_0_4753,refute_0_4754]) ).
cnf(refute_0_4756,plain,
multiply(inverse(X_470),multiply(X_470,inverse(X_27))) = inverse(X_27),
inference(resolve,[$cnf( $equal(inverse(multiply(X_27,multiply(inverse(X_470),X_470))),inverse(X_27)) )],[refute_0_4752,refute_0_4755]) ).
cnf(refute_0_4757,plain,
multiply(X_136,inverse(multiply(X_136,commutator(Z,multiply(X_136,X_136))))) = inverse(multiply(commutator(Z,multiply(X_136,X_136)),commutator(X_136,commutator(Z,multiply(X_136,X_136))))),
inference(subst,[],[refute_0_598:[bind(X_10,$fot(commutator(Z,multiply(X_136,X_136)))),bind(X_58,$fot(X_136))]]) ).
cnf(refute_0_4758,plain,
commutator(commutator(multiply(Y,Y),Y),Z) = commutator(multiply(Y,Y),commutator(Y,Z)),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(multiply(Y,Y)))]]) ).
cnf(refute_0_4759,plain,
commutator(multiply(X_66,X_66),X_66) = inverse(commutator(X_66,multiply(X_66,X_66))),
inference(subst,[],[refute_0_323:[bind(X,$fot(multiply(X_66,X_66))),bind(Y,$fot(X_66))]]) ).
cnf(refute_0_4760,plain,
commutator(X,multiply(X,X)) = multiply(inverse(X),multiply(inverse(multiply(X,X)),multiply(X,multiply(X,X)))),
inference(subst,[],[name:[bind(Y,$fot(multiply(X,X)))]]) ).
cnf(refute_0_4761,plain,
X = multiply(inverse(multiply(X,X)),multiply(X,multiply(X,X))),
inference(subst,[],[refute_0_13:[bind(Y,$fot(X)),bind(X_16,$fot(X))]]) ).
cnf(refute_0_4762,plain,
( X != multiply(inverse(multiply(X,X)),multiply(X,multiply(X,X)))
| multiply(inverse(multiply(X,X)),multiply(X,multiply(X,X))) = X ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(X)),bind(Y0,$fot(multiply(inverse(multiply(X,X)),multiply(X,multiply(X,X)))))]]) ).
cnf(refute_0_4763,plain,
multiply(inverse(multiply(X,X)),multiply(X,multiply(X,X))) = X,
inference(resolve,[$cnf( $equal(X,multiply(inverse(multiply(X,X)),multiply(X,multiply(X,X)))) )],[refute_0_4761,refute_0_4762]) ).
cnf(refute_0_4764,plain,
( multiply(inverse(multiply(X,X)),multiply(X,multiply(X,X))) != X
| commutator(X,multiply(X,X)) != multiply(inverse(X),multiply(inverse(multiply(X,X)),multiply(X,multiply(X,X))))
| commutator(X,multiply(X,X)) = multiply(inverse(X),X) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X,multiply(X,X)),multiply(inverse(X),multiply(inverse(multiply(X,X)),multiply(X,multiply(X,X))))) ),[1,1],$fot(X)]]) ).
cnf(refute_0_4765,plain,
( commutator(X,multiply(X,X)) != multiply(inverse(X),multiply(inverse(multiply(X,X)),multiply(X,multiply(X,X))))
| commutator(X,multiply(X,X)) = multiply(inverse(X),X) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X,X)),multiply(X,multiply(X,X))),X) )],[refute_0_4763,refute_0_4764]) ).
cnf(refute_0_4766,plain,
commutator(X,multiply(X,X)) = multiply(inverse(X),X),
inference(resolve,[$cnf( $equal(commutator(X,multiply(X,X)),multiply(inverse(X),multiply(inverse(multiply(X,X)),multiply(X,multiply(X,X))))) )],[refute_0_4760,refute_0_4765]) ).
cnf(refute_0_4767,plain,
( multiply(inverse(X),X) != identity
| commutator(X,multiply(X,X)) != multiply(inverse(X),X)
| commutator(X,multiply(X,X)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X,multiply(X,X)),multiply(inverse(X),X)) ),[1],$fot(identity)]]) ).
cnf(refute_0_4768,plain,
( commutator(X,multiply(X,X)) != multiply(inverse(X),X)
| commutator(X,multiply(X,X)) = identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(X),X),identity) )],[left_inverse,refute_0_4767]) ).
cnf(refute_0_4769,plain,
commutator(X,multiply(X,X)) = identity,
inference(resolve,[$cnf( $equal(commutator(X,multiply(X,X)),multiply(inverse(X),X)) )],[refute_0_4766,refute_0_4768]) ).
cnf(refute_0_4770,plain,
commutator(X_66,multiply(X_66,X_66)) = identity,
inference(subst,[],[refute_0_4769:[bind(X,$fot(X_66))]]) ).
cnf(refute_0_4771,plain,
( commutator(X_66,multiply(X_66,X_66)) != identity
| commutator(multiply(X_66,X_66),X_66) != inverse(commutator(X_66,multiply(X_66,X_66)))
| commutator(multiply(X_66,X_66),X_66) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_66,X_66),X_66),inverse(commutator(X_66,multiply(X_66,X_66)))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_4772,plain,
( commutator(multiply(X_66,X_66),X_66) != inverse(commutator(X_66,multiply(X_66,X_66)))
| commutator(multiply(X_66,X_66),X_66) = inverse(identity) ),
inference(resolve,[$cnf( $equal(commutator(X_66,multiply(X_66,X_66)),identity) )],[refute_0_4770,refute_0_4771]) ).
cnf(refute_0_4773,plain,
commutator(multiply(X_66,X_66),X_66) = inverse(identity),
inference(resolve,[$cnf( $equal(commutator(multiply(X_66,X_66),X_66),inverse(commutator(X_66,multiply(X_66,X_66)))) )],[refute_0_4759,refute_0_4772]) ).
cnf(refute_0_4774,plain,
( commutator(multiply(X_66,X_66),X_66) != inverse(identity)
| inverse(identity) != identity
| commutator(multiply(X_66,X_66),X_66) = identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(multiply(X_66,X_66),X_66),identity) ),[0],$fot(inverse(identity))]]) ).
cnf(refute_0_4775,plain,
( commutator(multiply(X_66,X_66),X_66) != inverse(identity)
| commutator(multiply(X_66,X_66),X_66) = identity ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_1155,refute_0_4774]) ).
cnf(refute_0_4776,plain,
commutator(multiply(X_66,X_66),X_66) = identity,
inference(resolve,[$cnf( $equal(commutator(multiply(X_66,X_66),X_66),inverse(identity)) )],[refute_0_4773,refute_0_4775]) ).
cnf(refute_0_4777,plain,
commutator(multiply(Y,Y),Y) = identity,
inference(subst,[],[refute_0_4776:[bind(X_66,$fot(Y))]]) ).
cnf(refute_0_4778,plain,
( commutator(multiply(Y,Y),Y) != identity
| commutator(commutator(multiply(Y,Y),Y),Z) != commutator(multiply(Y,Y),commutator(Y,Z))
| commutator(identity,Z) = commutator(multiply(Y,Y),commutator(Y,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(multiply(Y,Y),Y),Z),commutator(multiply(Y,Y),commutator(Y,Z))) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_4779,plain,
( commutator(commutator(multiply(Y,Y),Y),Z) != commutator(multiply(Y,Y),commutator(Y,Z))
| commutator(identity,Z) = commutator(multiply(Y,Y),commutator(Y,Z)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(Y,Y),Y),identity) )],[refute_0_4777,refute_0_4778]) ).
cnf(refute_0_4780,plain,
commutator(identity,Z) = commutator(multiply(Y,Y),commutator(Y,Z)),
inference(resolve,[$cnf( $equal(commutator(commutator(multiply(Y,Y),Y),Z),commutator(multiply(Y,Y),commutator(Y,Z))) )],[refute_0_4758,refute_0_4779]) ).
cnf(refute_0_4781,plain,
( commutator(identity,Z) != commutator(multiply(Y,Y),commutator(Y,Z))
| commutator(identity,Z) != identity
| identity = commutator(multiply(Y,Y),commutator(Y,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(identity,Z),commutator(multiply(Y,Y),commutator(Y,Z))) ),[0],$fot(identity)]]) ).
cnf(refute_0_4782,plain,
( commutator(identity,Z) != commutator(multiply(Y,Y),commutator(Y,Z))
| identity = commutator(multiply(Y,Y),commutator(Y,Z)) ),
inference(resolve,[$cnf( $equal(commutator(identity,Z),identity) )],[refute_0_71,refute_0_4781]) ).
cnf(refute_0_4783,plain,
( commutator(X_65,commutator(X,Y)) != commutator(Y,commutator(X_65,X))
| commutator(Y,commutator(X_65,X)) = commutator(X_65,commutator(X,Y)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_65,commutator(X,Y)))),bind(Y0,$fot(commutator(Y,commutator(X_65,X))))]]) ).
cnf(refute_0_4784,plain,
commutator(Y,commutator(X_65,X)) = commutator(X_65,commutator(X,Y)),
inference(resolve,[$cnf( $equal(commutator(X_65,commutator(X,Y)),commutator(Y,commutator(X_65,X))) )],[refute_0_2069,refute_0_4783]) ).
cnf(refute_0_4785,plain,
commutator(multiply(Y,Y),commutator(Y,Z)) = commutator(Y,commutator(Z,multiply(Y,Y))),
inference(subst,[],[refute_0_4784:[bind(X,$fot(Z)),bind(Y,$fot(multiply(Y,Y))),bind(X_65,$fot(Y))]]) ).
cnf(refute_0_4786,plain,
( commutator(multiply(Y,Y),commutator(Y,Z)) != commutator(Y,commutator(Z,multiply(Y,Y)))
| identity != commutator(multiply(Y,Y),commutator(Y,Z))
| identity = commutator(Y,commutator(Z,multiply(Y,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(multiply(Y,Y),commutator(Y,Z))) ),[1],$fot(commutator(Y,commutator(Z,multiply(Y,Y))))]]) ).
cnf(refute_0_4787,plain,
( identity != commutator(multiply(Y,Y),commutator(Y,Z))
| identity = commutator(Y,commutator(Z,multiply(Y,Y))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(Y,Y),commutator(Y,Z)),commutator(Y,commutator(Z,multiply(Y,Y)))) )],[refute_0_4785,refute_0_4786]) ).
cnf(refute_0_4788,plain,
( commutator(identity,Z) != commutator(multiply(Y,Y),commutator(Y,Z))
| identity = commutator(Y,commutator(Z,multiply(Y,Y))) ),
inference(resolve,[$cnf( $equal(identity,commutator(multiply(Y,Y),commutator(Y,Z))) )],[refute_0_4782,refute_0_4787]) ).
cnf(refute_0_4789,plain,
identity = commutator(Y,commutator(Z,multiply(Y,Y))),
inference(resolve,[$cnf( $equal(commutator(identity,Z),commutator(multiply(Y,Y),commutator(Y,Z))) )],[refute_0_4780,refute_0_4788]) ).
cnf(refute_0_4790,plain,
identity = commutator(X_136,commutator(Z,multiply(X_136,X_136))),
inference(subst,[],[refute_0_4789:[bind(Y,$fot(X_136))]]) ).
cnf(refute_0_4791,plain,
( identity != commutator(X_136,commutator(Z,multiply(X_136,X_136)))
| commutator(X_136,commutator(Z,multiply(X_136,X_136))) = identity ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(identity)),bind(Y0,$fot(commutator(X_136,commutator(Z,multiply(X_136,X_136)))))]]) ).
cnf(refute_0_4792,plain,
commutator(X_136,commutator(Z,multiply(X_136,X_136))) = identity,
inference(resolve,[$cnf( $equal(identity,commutator(X_136,commutator(Z,multiply(X_136,X_136)))) )],[refute_0_4790,refute_0_4791]) ).
cnf(refute_0_4793,plain,
( multiply(X_136,inverse(multiply(X_136,commutator(Z,multiply(X_136,X_136))))) != inverse(multiply(commutator(Z,multiply(X_136,X_136)),commutator(X_136,commutator(Z,multiply(X_136,X_136)))))
| commutator(X_136,commutator(Z,multiply(X_136,X_136))) != identity
| multiply(X_136,inverse(multiply(X_136,commutator(Z,multiply(X_136,X_136))))) = inverse(multiply(commutator(Z,multiply(X_136,X_136)),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_136,inverse(multiply(X_136,commutator(Z,multiply(X_136,X_136))))),inverse(multiply(commutator(Z,multiply(X_136,X_136)),commutator(X_136,commutator(Z,multiply(X_136,X_136)))))) ),[1,0,1],$fot(identity)]]) ).
cnf(refute_0_4794,plain,
( multiply(X_136,inverse(multiply(X_136,commutator(Z,multiply(X_136,X_136))))) != inverse(multiply(commutator(Z,multiply(X_136,X_136)),commutator(X_136,commutator(Z,multiply(X_136,X_136)))))
| multiply(X_136,inverse(multiply(X_136,commutator(Z,multiply(X_136,X_136))))) = inverse(multiply(commutator(Z,multiply(X_136,X_136)),identity)) ),
inference(resolve,[$cnf( $equal(commutator(X_136,commutator(Z,multiply(X_136,X_136))),identity) )],[refute_0_4792,refute_0_4793]) ).
cnf(refute_0_4795,plain,
multiply(X_136,inverse(multiply(X_136,commutator(Z,multiply(X_136,X_136))))) = inverse(multiply(commutator(Z,multiply(X_136,X_136)),identity)),
inference(resolve,[$cnf( $equal(multiply(X_136,inverse(multiply(X_136,commutator(Z,multiply(X_136,X_136))))),inverse(multiply(commutator(Z,multiply(X_136,X_136)),commutator(X_136,commutator(Z,multiply(X_136,X_136)))))) )],[refute_0_4757,refute_0_4794]) ).
cnf(refute_0_4796,plain,
inverse(commutator(Z,multiply(X_136,X_136))) = commutator(multiply(X_136,X_136),Z),
inference(subst,[],[refute_0_386:[bind(X,$fot(multiply(X_136,X_136))),bind(Y,$fot(Z))]]) ).
cnf(refute_0_4797,plain,
multiply(commutator(Z,multiply(X_136,X_136)),identity) = commutator(Z,multiply(X_136,X_136)),
inference(subst,[],[refute_0_100:[bind(X_16,$fot(commutator(Z,multiply(X_136,X_136))))]]) ).
cnf(refute_0_4798,plain,
inverse(multiply(commutator(Z,multiply(X_136,X_136)),identity)) = inverse(multiply(commutator(Z,multiply(X_136,X_136)),identity)),
introduced(tautology,[refl,[$fot(inverse(multiply(commutator(Z,multiply(X_136,X_136)),identity)))]]) ).
cnf(refute_0_4799,plain,
( multiply(commutator(Z,multiply(X_136,X_136)),identity) != commutator(Z,multiply(X_136,X_136))
| inverse(multiply(commutator(Z,multiply(X_136,X_136)),identity)) != inverse(multiply(commutator(Z,multiply(X_136,X_136)),identity))
| inverse(multiply(commutator(Z,multiply(X_136,X_136)),identity)) = inverse(commutator(Z,multiply(X_136,X_136))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(commutator(Z,multiply(X_136,X_136)),identity)),inverse(multiply(commutator(Z,multiply(X_136,X_136)),identity))) ),[1,0],$fot(commutator(Z,multiply(X_136,X_136)))]]) ).
cnf(refute_0_4800,plain,
( multiply(commutator(Z,multiply(X_136,X_136)),identity) != commutator(Z,multiply(X_136,X_136))
| inverse(multiply(commutator(Z,multiply(X_136,X_136)),identity)) = inverse(commutator(Z,multiply(X_136,X_136))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(Z,multiply(X_136,X_136)),identity)),inverse(multiply(commutator(Z,multiply(X_136,X_136)),identity))) )],[refute_0_4798,refute_0_4799]) ).
cnf(refute_0_4801,plain,
inverse(multiply(commutator(Z,multiply(X_136,X_136)),identity)) = inverse(commutator(Z,multiply(X_136,X_136))),
inference(resolve,[$cnf( $equal(multiply(commutator(Z,multiply(X_136,X_136)),identity),commutator(Z,multiply(X_136,X_136))) )],[refute_0_4797,refute_0_4800]) ).
cnf(refute_0_4802,plain,
( inverse(multiply(commutator(Z,multiply(X_136,X_136)),identity)) != inverse(commutator(Z,multiply(X_136,X_136)))
| inverse(commutator(Z,multiply(X_136,X_136))) != commutator(multiply(X_136,X_136),Z)
| inverse(multiply(commutator(Z,multiply(X_136,X_136)),identity)) = commutator(multiply(X_136,X_136),Z) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(commutator(Z,multiply(X_136,X_136)),identity)))),bind(Y0,$fot(inverse(commutator(Z,multiply(X_136,X_136))))),bind(Z0,$fot(commutator(multiply(X_136,X_136),Z)))]]) ).
cnf(refute_0_4803,plain,
( inverse(commutator(Z,multiply(X_136,X_136))) != commutator(multiply(X_136,X_136),Z)
| inverse(multiply(commutator(Z,multiply(X_136,X_136)),identity)) = commutator(multiply(X_136,X_136),Z) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(Z,multiply(X_136,X_136)),identity)),inverse(commutator(Z,multiply(X_136,X_136)))) )],[refute_0_4801,refute_0_4802]) ).
cnf(refute_0_4804,plain,
inverse(multiply(commutator(Z,multiply(X_136,X_136)),identity)) = commutator(multiply(X_136,X_136),Z),
inference(resolve,[$cnf( $equal(inverse(commutator(Z,multiply(X_136,X_136))),commutator(multiply(X_136,X_136),Z)) )],[refute_0_4796,refute_0_4803]) ).
cnf(refute_0_4805,plain,
( multiply(X_136,inverse(multiply(X_136,commutator(Z,multiply(X_136,X_136))))) != inverse(multiply(commutator(Z,multiply(X_136,X_136)),identity))
| inverse(multiply(commutator(Z,multiply(X_136,X_136)),identity)) != commutator(multiply(X_136,X_136),Z)
| multiply(X_136,inverse(multiply(X_136,commutator(Z,multiply(X_136,X_136))))) = commutator(multiply(X_136,X_136),Z) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_136,inverse(multiply(X_136,commutator(Z,multiply(X_136,X_136))))),commutator(multiply(X_136,X_136),Z)) ),[0],$fot(inverse(multiply(commutator(Z,multiply(X_136,X_136)),identity)))]]) ).
cnf(refute_0_4806,plain,
( multiply(X_136,inverse(multiply(X_136,commutator(Z,multiply(X_136,X_136))))) != inverse(multiply(commutator(Z,multiply(X_136,X_136)),identity))
| multiply(X_136,inverse(multiply(X_136,commutator(Z,multiply(X_136,X_136))))) = commutator(multiply(X_136,X_136),Z) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(Z,multiply(X_136,X_136)),identity)),commutator(multiply(X_136,X_136),Z)) )],[refute_0_4804,refute_0_4805]) ).
cnf(refute_0_4807,plain,
multiply(X_136,inverse(multiply(X_136,commutator(Z,multiply(X_136,X_136))))) = commutator(multiply(X_136,X_136),Z),
inference(resolve,[$cnf( $equal(multiply(X_136,inverse(multiply(X_136,commutator(Z,multiply(X_136,X_136))))),inverse(multiply(commutator(Z,multiply(X_136,X_136)),identity))) )],[refute_0_4795,refute_0_4806]) ).
cnf(refute_0_4808,plain,
multiply(X_397,inverse(multiply(X_397,commutator(commutator(Z,X_113),multiply(X_397,X_397))))) = commutator(multiply(X_397,X_397),commutator(Z,X_113)),
inference(subst,[],[refute_0_4807:[bind(Z,$fot(commutator(Z,X_113))),bind(X_136,$fot(X_397))]]) ).
cnf(refute_0_4809,plain,
commutator(X_113,commutator(multiply(X_397,X_397),Z)) = commutator(multiply(X_397,X_397),commutator(Z,X_113)),
inference(subst,[],[refute_0_3118:[bind(X,$fot(multiply(X_397,X_397)))]]) ).
cnf(refute_0_4810,plain,
( commutator(X_113,commutator(multiply(X_397,X_397),Z)) != commutator(multiply(X_397,X_397),commutator(Z,X_113))
| commutator(multiply(X_397,X_397),commutator(Z,X_113)) = commutator(X_113,commutator(multiply(X_397,X_397),Z)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_113,commutator(multiply(X_397,X_397),Z)))),bind(Y0,$fot(commutator(multiply(X_397,X_397),commutator(Z,X_113))))]]) ).
cnf(refute_0_4811,plain,
commutator(multiply(X_397,X_397),commutator(Z,X_113)) = commutator(X_113,commutator(multiply(X_397,X_397),Z)),
inference(resolve,[$cnf( $equal(commutator(X_113,commutator(multiply(X_397,X_397),Z)),commutator(multiply(X_397,X_397),commutator(Z,X_113))) )],[refute_0_4809,refute_0_4810]) ).
cnf(refute_0_4812,plain,
( multiply(X_397,inverse(multiply(X_397,commutator(commutator(Z,X_113),multiply(X_397,X_397))))) != commutator(multiply(X_397,X_397),commutator(Z,X_113))
| commutator(multiply(X_397,X_397),commutator(Z,X_113)) != commutator(X_113,commutator(multiply(X_397,X_397),Z))
| multiply(X_397,inverse(multiply(X_397,commutator(commutator(Z,X_113),multiply(X_397,X_397))))) = commutator(X_113,commutator(multiply(X_397,X_397),Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_397,inverse(multiply(X_397,commutator(commutator(Z,X_113),multiply(X_397,X_397))))),commutator(X_113,commutator(multiply(X_397,X_397),Z))) ),[0],$fot(commutator(multiply(X_397,X_397),commutator(Z,X_113)))]]) ).
cnf(refute_0_4813,plain,
( multiply(X_397,inverse(multiply(X_397,commutator(commutator(Z,X_113),multiply(X_397,X_397))))) != commutator(multiply(X_397,X_397),commutator(Z,X_113))
| multiply(X_397,inverse(multiply(X_397,commutator(commutator(Z,X_113),multiply(X_397,X_397))))) = commutator(X_113,commutator(multiply(X_397,X_397),Z)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_397,X_397),commutator(Z,X_113)),commutator(X_113,commutator(multiply(X_397,X_397),Z))) )],[refute_0_4811,refute_0_4812]) ).
cnf(refute_0_4814,plain,
multiply(X_397,inverse(multiply(X_397,commutator(commutator(Z,X_113),multiply(X_397,X_397))))) = commutator(X_113,commutator(multiply(X_397,X_397),Z)),
inference(resolve,[$cnf( $equal(multiply(X_397,inverse(multiply(X_397,commutator(commutator(Z,X_113),multiply(X_397,X_397))))),commutator(multiply(X_397,X_397),commutator(Z,X_113))) )],[refute_0_4808,refute_0_4813]) ).
cnf(refute_0_4815,plain,
identity = multiply(commutator(X_66,commutator(X_309,X_310)),commutator(commutator(X_309,X_310),X_66)),
inference(subst,[],[refute_0_1261:[bind(X_65,$fot(commutator(X_309,X_310)))]]) ).
cnf(refute_0_4816,plain,
commutator(X_66,commutator(X_309,X_310)) = commutator(X_309,commutator(X_310,X_66)),
inference(subst,[],[refute_0_3118:[bind(X,$fot(X_309)),bind(Z,$fot(X_310)),bind(X_113,$fot(X_66))]]) ).
cnf(refute_0_4817,plain,
( commutator(X_66,commutator(X_309,X_310)) != commutator(X_309,commutator(X_310,X_66))
| identity != multiply(commutator(X_66,commutator(X_309,X_310)),commutator(commutator(X_309,X_310),X_66))
| identity = multiply(commutator(X_309,commutator(X_310,X_66)),commutator(commutator(X_309,X_310),X_66)) ),
introduced(tautology,[equality,[$cnf( $equal(identity,multiply(commutator(X_66,commutator(X_309,X_310)),commutator(commutator(X_309,X_310),X_66))) ),[1,0],$fot(commutator(X_309,commutator(X_310,X_66)))]]) ).
cnf(refute_0_4818,plain,
( identity != multiply(commutator(X_66,commutator(X_309,X_310)),commutator(commutator(X_309,X_310),X_66))
| identity = multiply(commutator(X_309,commutator(X_310,X_66)),commutator(commutator(X_309,X_310),X_66)) ),
inference(resolve,[$cnf( $equal(commutator(X_66,commutator(X_309,X_310)),commutator(X_309,commutator(X_310,X_66))) )],[refute_0_4816,refute_0_4817]) ).
cnf(refute_0_4819,plain,
identity = multiply(commutator(X_309,commutator(X_310,X_66)),commutator(commutator(X_309,X_310),X_66)),
inference(resolve,[$cnf( $equal(identity,multiply(commutator(X_66,commutator(X_309,X_310)),commutator(commutator(X_309,X_310),X_66))) )],[refute_0_4815,refute_0_4818]) ).
cnf(refute_0_4820,plain,
commutator(commutator(X_309,X_310),X_66) = commutator(X_309,commutator(X_310,X_66)),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(X_309)),bind(Y,$fot(X_310)),bind(Z,$fot(X_66))]]) ).
cnf(refute_0_4821,plain,
multiply(commutator(X_309,commutator(X_310,X_66)),commutator(commutator(X_309,X_310),X_66)) = multiply(commutator(X_309,commutator(X_310,X_66)),commutator(commutator(X_309,X_310),X_66)),
introduced(tautology,[refl,[$fot(multiply(commutator(X_309,commutator(X_310,X_66)),commutator(commutator(X_309,X_310),X_66)))]]) ).
cnf(refute_0_4822,plain,
( multiply(commutator(X_309,commutator(X_310,X_66)),commutator(commutator(X_309,X_310),X_66)) != multiply(commutator(X_309,commutator(X_310,X_66)),commutator(commutator(X_309,X_310),X_66))
| commutator(commutator(X_309,X_310),X_66) != commutator(X_309,commutator(X_310,X_66))
| multiply(commutator(X_309,commutator(X_310,X_66)),commutator(commutator(X_309,X_310),X_66)) = multiply(commutator(X_309,commutator(X_310,X_66)),commutator(X_309,commutator(X_310,X_66))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_309,commutator(X_310,X_66)),commutator(commutator(X_309,X_310),X_66)),multiply(commutator(X_309,commutator(X_310,X_66)),commutator(commutator(X_309,X_310),X_66))) ),[1,1],$fot(commutator(X_309,commutator(X_310,X_66)))]]) ).
cnf(refute_0_4823,plain,
( commutator(commutator(X_309,X_310),X_66) != commutator(X_309,commutator(X_310,X_66))
| multiply(commutator(X_309,commutator(X_310,X_66)),commutator(commutator(X_309,X_310),X_66)) = multiply(commutator(X_309,commutator(X_310,X_66)),commutator(X_309,commutator(X_310,X_66))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_309,commutator(X_310,X_66)),commutator(commutator(X_309,X_310),X_66)),multiply(commutator(X_309,commutator(X_310,X_66)),commutator(commutator(X_309,X_310),X_66))) )],[refute_0_4821,refute_0_4822]) ).
cnf(refute_0_4824,plain,
multiply(commutator(X_309,commutator(X_310,X_66)),commutator(commutator(X_309,X_310),X_66)) = multiply(commutator(X_309,commutator(X_310,X_66)),commutator(X_309,commutator(X_310,X_66))),
inference(resolve,[$cnf( $equal(commutator(commutator(X_309,X_310),X_66),commutator(X_309,commutator(X_310,X_66))) )],[refute_0_4820,refute_0_4823]) ).
cnf(refute_0_4825,plain,
( multiply(commutator(X_309,commutator(X_310,X_66)),commutator(commutator(X_309,X_310),X_66)) != multiply(commutator(X_309,commutator(X_310,X_66)),commutator(X_309,commutator(X_310,X_66)))
| identity != multiply(commutator(X_309,commutator(X_310,X_66)),commutator(commutator(X_309,X_310),X_66))
| identity = multiply(commutator(X_309,commutator(X_310,X_66)),commutator(X_309,commutator(X_310,X_66))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,multiply(commutator(X_309,commutator(X_310,X_66)),commutator(commutator(X_309,X_310),X_66))) ),[1],$fot(multiply(commutator(X_309,commutator(X_310,X_66)),commutator(X_309,commutator(X_310,X_66))))]]) ).
cnf(refute_0_4826,plain,
( identity != multiply(commutator(X_309,commutator(X_310,X_66)),commutator(commutator(X_309,X_310),X_66))
| identity = multiply(commutator(X_309,commutator(X_310,X_66)),commutator(X_309,commutator(X_310,X_66))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_309,commutator(X_310,X_66)),commutator(commutator(X_309,X_310),X_66)),multiply(commutator(X_309,commutator(X_310,X_66)),commutator(X_309,commutator(X_310,X_66)))) )],[refute_0_4824,refute_0_4825]) ).
cnf(refute_0_4827,plain,
identity = multiply(commutator(X_309,commutator(X_310,X_66)),commutator(X_309,commutator(X_310,X_66))),
inference(resolve,[$cnf( $equal(identity,multiply(commutator(X_309,commutator(X_310,X_66)),commutator(commutator(X_309,X_310),X_66))) )],[refute_0_4819,refute_0_4826]) ).
cnf(refute_0_4828,plain,
multiply(commutator(X_309,commutator(X_310,X_66)),commutator(X_309,commutator(X_310,X_66))) = commutator(multiply(X_309,X_309),commutator(X_310,X_66)),
inference(subst,[],[refute_0_2686:[bind(X_325,$fot(commutator(X_310,X_66))),bind(X_90,$fot(X_309))]]) ).
cnf(refute_0_4829,plain,
( multiply(commutator(X_309,commutator(X_310,X_66)),commutator(X_309,commutator(X_310,X_66))) != commutator(multiply(X_309,X_309),commutator(X_310,X_66))
| identity != multiply(commutator(X_309,commutator(X_310,X_66)),commutator(X_309,commutator(X_310,X_66)))
| identity = commutator(multiply(X_309,X_309),commutator(X_310,X_66)) ),
introduced(tautology,[equality,[$cnf( $equal(identity,multiply(commutator(X_309,commutator(X_310,X_66)),commutator(X_309,commutator(X_310,X_66)))) ),[1],$fot(commutator(multiply(X_309,X_309),commutator(X_310,X_66)))]]) ).
cnf(refute_0_4830,plain,
( identity != multiply(commutator(X_309,commutator(X_310,X_66)),commutator(X_309,commutator(X_310,X_66)))
| identity = commutator(multiply(X_309,X_309),commutator(X_310,X_66)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_309,commutator(X_310,X_66)),commutator(X_309,commutator(X_310,X_66))),commutator(multiply(X_309,X_309),commutator(X_310,X_66))) )],[refute_0_4828,refute_0_4829]) ).
cnf(refute_0_4831,plain,
identity = commutator(multiply(X_309,X_309),commutator(X_310,X_66)),
inference(resolve,[$cnf( $equal(identity,multiply(commutator(X_309,commutator(X_310,X_66)),commutator(X_309,commutator(X_310,X_66)))) )],[refute_0_4827,refute_0_4830]) ).
cnf(refute_0_4832,plain,
( identity != commutator(multiply(X_309,X_309),commutator(X_310,X_66))
| commutator(multiply(X_309,X_309),commutator(X_310,X_66)) = identity ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(identity)),bind(Y0,$fot(commutator(multiply(X_309,X_309),commutator(X_310,X_66))))]]) ).
cnf(refute_0_4833,plain,
commutator(multiply(X_309,X_309),commutator(X_310,X_66)) = identity,
inference(resolve,[$cnf( $equal(identity,commutator(multiply(X_309,X_309),commutator(X_310,X_66))) )],[refute_0_4831,refute_0_4832]) ).
cnf(refute_0_4834,plain,
commutator(multiply(X_397,X_397),commutator(Z,X_113)) = identity,
inference(subst,[],[refute_0_4833:[bind(X_309,$fot(X_397)),bind(X_310,$fot(Z)),bind(X_66,$fot(X_113))]]) ).
cnf(refute_0_4835,plain,
( multiply(X_397,inverse(multiply(X_397,commutator(commutator(Z,X_113),multiply(X_397,X_397))))) != commutator(multiply(X_397,X_397),commutator(Z,X_113))
| commutator(multiply(X_397,X_397),commutator(Z,X_113)) != identity
| multiply(X_397,inverse(multiply(X_397,commutator(commutator(Z,X_113),multiply(X_397,X_397))))) = identity ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_397,inverse(multiply(X_397,commutator(commutator(Z,X_113),multiply(X_397,X_397))))))),bind(Y0,$fot(commutator(multiply(X_397,X_397),commutator(Z,X_113)))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_4836,plain,
( commutator(multiply(X_397,X_397),commutator(Z,X_113)) != identity
| multiply(X_397,inverse(multiply(X_397,commutator(commutator(Z,X_113),multiply(X_397,X_397))))) = identity ),
inference(resolve,[$cnf( $equal(multiply(X_397,inverse(multiply(X_397,commutator(commutator(Z,X_113),multiply(X_397,X_397))))),commutator(multiply(X_397,X_397),commutator(Z,X_113))) )],[refute_0_4808,refute_0_4835]) ).
cnf(refute_0_4837,plain,
multiply(X_397,inverse(multiply(X_397,commutator(commutator(Z,X_113),multiply(X_397,X_397))))) = identity,
inference(resolve,[$cnf( $equal(commutator(multiply(X_397,X_397),commutator(Z,X_113)),identity) )],[refute_0_4834,refute_0_4836]) ).
cnf(refute_0_4838,plain,
( multiply(X_397,inverse(multiply(X_397,commutator(commutator(Z,X_113),multiply(X_397,X_397))))) != commutator(X_113,commutator(multiply(X_397,X_397),Z))
| multiply(X_397,inverse(multiply(X_397,commutator(commutator(Z,X_113),multiply(X_397,X_397))))) != identity
| identity = commutator(X_113,commutator(multiply(X_397,X_397),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_397,inverse(multiply(X_397,commutator(commutator(Z,X_113),multiply(X_397,X_397))))),commutator(X_113,commutator(multiply(X_397,X_397),Z))) ),[0],$fot(identity)]]) ).
cnf(refute_0_4839,plain,
( multiply(X_397,inverse(multiply(X_397,commutator(commutator(Z,X_113),multiply(X_397,X_397))))) != commutator(X_113,commutator(multiply(X_397,X_397),Z))
| identity = commutator(X_113,commutator(multiply(X_397,X_397),Z)) ),
inference(resolve,[$cnf( $equal(multiply(X_397,inverse(multiply(X_397,commutator(commutator(Z,X_113),multiply(X_397,X_397))))),identity) )],[refute_0_4837,refute_0_4838]) ).
cnf(refute_0_4840,plain,
identity = commutator(X_113,commutator(multiply(X_397,X_397),Z)),
inference(resolve,[$cnf( $equal(multiply(X_397,inverse(multiply(X_397,commutator(commutator(Z,X_113),multiply(X_397,X_397))))),commutator(X_113,commutator(multiply(X_397,X_397),Z))) )],[refute_0_4814,refute_0_4839]) ).
cnf(refute_0_4841,plain,
( identity != commutator(X_113,commutator(multiply(X_397,X_397),Z))
| commutator(X_113,commutator(multiply(X_397,X_397),Z)) = identity ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(identity)),bind(Y0,$fot(commutator(X_113,commutator(multiply(X_397,X_397),Z))))]]) ).
cnf(refute_0_4842,plain,
commutator(X_113,commutator(multiply(X_397,X_397),Z)) = identity,
inference(resolve,[$cnf( $equal(identity,commutator(X_113,commutator(multiply(X_397,X_397),Z))) )],[refute_0_4840,refute_0_4841]) ).
cnf(refute_0_4843,plain,
commutator(X_470,commutator(multiply(X_471,X_471),X_470)) = identity,
inference(subst,[],[refute_0_4842:[bind(Z,$fot(X_470)),bind(X_113,$fot(X_470)),bind(X_397,$fot(X_471))]]) ).
cnf(refute_0_4844,plain,
multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470))) = multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470))),
introduced(tautology,[refl,[$fot(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470))))]]) ).
cnf(refute_0_4845,plain,
( multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470))) != multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470)))
| commutator(X_470,commutator(multiply(X_471,X_471),X_470)) != identity
| multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470))) = multiply(X_27,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470))),multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_4846,plain,
( commutator(X_470,commutator(multiply(X_471,X_471),X_470)) != identity
| multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470))) = multiply(X_27,identity) ),
inference(resolve,[$cnf( $equal(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470))),multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470)))) )],[refute_0_4844,refute_0_4845]) ).
cnf(refute_0_4847,plain,
multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470))) = multiply(X_27,identity),
inference(resolve,[$cnf( $equal(commutator(X_470,commutator(multiply(X_471,X_471),X_470)),identity) )],[refute_0_4843,refute_0_4846]) ).
cnf(refute_0_4848,plain,
( multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470))) != multiply(X_27,identity)
| multiply(X_27,identity) != X_27
| multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470))) = X_27 ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470))))),bind(Y0,$fot(multiply(X_27,identity))),bind(Z0,$fot(X_27))]]) ).
cnf(refute_0_4849,plain,
( multiply(X_27,identity) != X_27
| multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470))) = X_27 ),
inference(resolve,[$cnf( $equal(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470))),multiply(X_27,identity)) )],[refute_0_4847,refute_0_4848]) ).
cnf(refute_0_4850,plain,
multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470))) = X_27,
inference(resolve,[$cnf( $equal(multiply(X_27,identity),X_27) )],[refute_0_149,refute_0_4849]) ).
cnf(refute_0_4851,plain,
inverse(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470)))) = inverse(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470)))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470)))))]]) ).
cnf(refute_0_4852,plain,
( multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470))) != X_27
| inverse(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470)))) != inverse(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470))))
| inverse(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470)))) = inverse(X_27) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470)))),inverse(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470))))) ),[1,0],$fot(X_27)]]) ).
cnf(refute_0_4853,plain,
( multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470))) != X_27
| inverse(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470)))) = inverse(X_27) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470)))),inverse(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470))))) )],[refute_0_4851,refute_0_4852]) ).
cnf(refute_0_4854,plain,
inverse(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470)))) = inverse(X_27),
inference(resolve,[$cnf( $equal(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470))),X_27) )],[refute_0_4850,refute_0_4853]) ).
cnf(refute_0_4855,plain,
multiply(X_470,inverse(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470))))) = multiply(X_470,inverse(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470))))),
introduced(tautology,[refl,[$fot(multiply(X_470,inverse(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470))))))]]) ).
cnf(refute_0_4856,plain,
( multiply(X_470,inverse(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470))))) != multiply(X_470,inverse(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470)))))
| inverse(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470)))) != inverse(X_27)
| multiply(X_470,inverse(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470))))) = multiply(X_470,inverse(X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_470,inverse(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470))))),multiply(X_470,inverse(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470)))))) ),[1,1],$fot(inverse(X_27))]]) ).
cnf(refute_0_4857,plain,
( inverse(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470)))) != inverse(X_27)
| multiply(X_470,inverse(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470))))) = multiply(X_470,inverse(X_27)) ),
inference(resolve,[$cnf( $equal(multiply(X_470,inverse(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470))))),multiply(X_470,inverse(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470)))))) )],[refute_0_4855,refute_0_4856]) ).
cnf(refute_0_4858,plain,
multiply(X_470,inverse(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470))))) = multiply(X_470,inverse(X_27)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470)))),inverse(X_27)) )],[refute_0_4854,refute_0_4857]) ).
cnf(refute_0_4859,plain,
inverse(multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))))) = inverse(multiply(X_10,multiply(inverse(commutator(X_537,X_538)),multiply(inverse(X_536),commutator(X_537,X_538))))),
inference(subst,[],[refute_0_2131:[bind(X_255,$fot(commutator(X_537,X_538))),bind(X_256,$fot(inverse(X_536)))]]) ).
cnf(refute_0_4860,plain,
inverse(multiply(commutator(X_538,X_537),X_536)) = multiply(inverse(X_536),commutator(X_537,X_538)),
inference(subst,[],[refute_0_329:[bind(X_10,$fot(X_536)),bind(X_65,$fot(X_537)),bind(X_66,$fot(X_538))]]) ).
cnf(refute_0_4861,plain,
( inverse(multiply(commutator(X_538,X_537),X_536)) != multiply(inverse(X_536),commutator(X_537,X_538))
| multiply(inverse(X_536),commutator(X_537,X_538)) = inverse(multiply(commutator(X_538,X_537),X_536)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(inverse(multiply(commutator(X_538,X_537),X_536)))),bind(Y0,$fot(multiply(inverse(X_536),commutator(X_537,X_538))))]]) ).
cnf(refute_0_4862,plain,
multiply(inverse(X_536),commutator(X_537,X_538)) = inverse(multiply(commutator(X_538,X_537),X_536)),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_538,X_537),X_536)),multiply(inverse(X_536),commutator(X_537,X_538))) )],[refute_0_4860,refute_0_4861]) ).
cnf(refute_0_4863,plain,
( multiply(inverse(X_536),commutator(X_537,X_538)) != inverse(multiply(commutator(X_538,X_537),X_536))
| inverse(multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))))) != inverse(multiply(X_10,multiply(inverse(commutator(X_537,X_538)),multiply(inverse(X_536),commutator(X_537,X_538)))))
| inverse(multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))))) = inverse(multiply(X_10,multiply(inverse(commutator(X_537,X_538)),inverse(multiply(commutator(X_538,X_537),X_536))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))))),inverse(multiply(X_10,multiply(inverse(commutator(X_537,X_538)),multiply(inverse(X_536),commutator(X_537,X_538)))))) ),[1,0,1,1],$fot(inverse(multiply(commutator(X_538,X_537),X_536)))]]) ).
cnf(refute_0_4864,plain,
( inverse(multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))))) != inverse(multiply(X_10,multiply(inverse(commutator(X_537,X_538)),multiply(inverse(X_536),commutator(X_537,X_538)))))
| inverse(multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))))) = inverse(multiply(X_10,multiply(inverse(commutator(X_537,X_538)),inverse(multiply(commutator(X_538,X_537),X_536))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_536),commutator(X_537,X_538)),inverse(multiply(commutator(X_538,X_537),X_536))) )],[refute_0_4862,refute_0_4863]) ).
cnf(refute_0_4865,plain,
inverse(multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))))) = inverse(multiply(X_10,multiply(inverse(commutator(X_537,X_538)),inverse(multiply(commutator(X_538,X_537),X_536))))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))))),inverse(multiply(X_10,multiply(inverse(commutator(X_537,X_538)),multiply(inverse(X_536),commutator(X_537,X_538)))))) )],[refute_0_4859,refute_0_4864]) ).
cnf(refute_0_4866,plain,
commutator(commutator(X_537,X_538),X_536) = commutator(X_537,commutator(X_538,X_536)),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(X_537)),bind(Y,$fot(X_538)),bind(Z,$fot(X_536))]]) ).
cnf(refute_0_4867,plain,
multiply(X_10,commutator(commutator(X_537,X_538),X_536)) = multiply(X_10,commutator(commutator(X_537,X_538),X_536)),
introduced(tautology,[refl,[$fot(multiply(X_10,commutator(commutator(X_537,X_538),X_536)))]]) ).
cnf(refute_0_4868,plain,
( multiply(X_10,commutator(commutator(X_537,X_538),X_536)) != multiply(X_10,commutator(commutator(X_537,X_538),X_536))
| commutator(commutator(X_537,X_538),X_536) != commutator(X_537,commutator(X_538,X_536))
| multiply(X_10,commutator(commutator(X_537,X_538),X_536)) = multiply(X_10,commutator(X_537,commutator(X_538,X_536))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_10,commutator(commutator(X_537,X_538),X_536)),multiply(X_10,commutator(commutator(X_537,X_538),X_536))) ),[1,1],$fot(commutator(X_537,commutator(X_538,X_536)))]]) ).
cnf(refute_0_4869,plain,
( commutator(commutator(X_537,X_538),X_536) != commutator(X_537,commutator(X_538,X_536))
| multiply(X_10,commutator(commutator(X_537,X_538),X_536)) = multiply(X_10,commutator(X_537,commutator(X_538,X_536))) ),
inference(resolve,[$cnf( $equal(multiply(X_10,commutator(commutator(X_537,X_538),X_536)),multiply(X_10,commutator(commutator(X_537,X_538),X_536))) )],[refute_0_4867,refute_0_4868]) ).
cnf(refute_0_4870,plain,
multiply(X_10,commutator(commutator(X_537,X_538),X_536)) = multiply(X_10,commutator(X_537,commutator(X_538,X_536))),
inference(resolve,[$cnf( $equal(commutator(commutator(X_537,X_538),X_536),commutator(X_537,commutator(X_538,X_536))) )],[refute_0_4866,refute_0_4869]) ).
cnf(refute_0_4871,plain,
inverse(multiply(X_10,commutator(commutator(X_537,X_538),X_536))) = inverse(multiply(X_10,commutator(commutator(X_537,X_538),X_536))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_10,commutator(commutator(X_537,X_538),X_536))))]]) ).
cnf(refute_0_4872,plain,
( multiply(X_10,commutator(commutator(X_537,X_538),X_536)) != multiply(X_10,commutator(X_537,commutator(X_538,X_536)))
| inverse(multiply(X_10,commutator(commutator(X_537,X_538),X_536))) != inverse(multiply(X_10,commutator(commutator(X_537,X_538),X_536)))
| inverse(multiply(X_10,commutator(commutator(X_537,X_538),X_536))) = inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_10,commutator(commutator(X_537,X_538),X_536))),inverse(multiply(X_10,commutator(commutator(X_537,X_538),X_536)))) ),[1,0],$fot(multiply(X_10,commutator(X_537,commutator(X_538,X_536))))]]) ).
cnf(refute_0_4873,plain,
( multiply(X_10,commutator(commutator(X_537,X_538),X_536)) != multiply(X_10,commutator(X_537,commutator(X_538,X_536)))
| inverse(multiply(X_10,commutator(commutator(X_537,X_538),X_536))) = inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,commutator(commutator(X_537,X_538),X_536))),inverse(multiply(X_10,commutator(commutator(X_537,X_538),X_536)))) )],[refute_0_4871,refute_0_4872]) ).
cnf(refute_0_4874,plain,
inverse(multiply(X_10,commutator(commutator(X_537,X_538),X_536))) = inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536)))),
inference(resolve,[$cnf( $equal(multiply(X_10,commutator(commutator(X_537,X_538),X_536)),multiply(X_10,commutator(X_537,commutator(X_538,X_536)))) )],[refute_0_4870,refute_0_4873]) ).
cnf(refute_0_4875,plain,
multiply(commutator(X_536,commutator(X_537,X_538)),inverse(X_10)) = inverse(multiply(X_10,commutator(commutator(X_537,X_538),X_536))),
inference(subst,[],[refute_0_378:[bind(X_58,$fot(X_10)),bind(X_65,$fot(X_536)),bind(X_66,$fot(commutator(X_537,X_538)))]]) ).
cnf(refute_0_4876,plain,
( multiply(commutator(X_536,commutator(X_537,X_538)),inverse(X_10)) != inverse(multiply(X_10,commutator(commutator(X_537,X_538),X_536)))
| inverse(multiply(X_10,commutator(commutator(X_537,X_538),X_536))) != inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536))))
| multiply(commutator(X_536,commutator(X_537,X_538)),inverse(X_10)) = inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_536,commutator(X_537,X_538)),inverse(X_10)))),bind(Y0,$fot(inverse(multiply(X_10,commutator(commutator(X_537,X_538),X_536))))),bind(Z0,$fot(inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536))))))]]) ).
cnf(refute_0_4877,plain,
( inverse(multiply(X_10,commutator(commutator(X_537,X_538),X_536))) != inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536))))
| multiply(commutator(X_536,commutator(X_537,X_538)),inverse(X_10)) = inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536)))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_536,commutator(X_537,X_538)),inverse(X_10)),inverse(multiply(X_10,commutator(commutator(X_537,X_538),X_536)))) )],[refute_0_4875,refute_0_4876]) ).
cnf(refute_0_4878,plain,
multiply(commutator(X_536,commutator(X_537,X_538)),inverse(X_10)) = inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,commutator(commutator(X_537,X_538),X_536))),inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536))))) )],[refute_0_4874,refute_0_4877]) ).
cnf(refute_0_4879,plain,
multiply(X_536,multiply(commutator(X_536,commutator(X_537,X_538)),inverse(X_10))) = multiply(X_536,multiply(commutator(X_536,commutator(X_537,X_538)),inverse(X_10))),
introduced(tautology,[refl,[$fot(multiply(X_536,multiply(commutator(X_536,commutator(X_537,X_538)),inverse(X_10))))]]) ).
cnf(refute_0_4880,plain,
( multiply(X_536,multiply(commutator(X_536,commutator(X_537,X_538)),inverse(X_10))) != multiply(X_536,multiply(commutator(X_536,commutator(X_537,X_538)),inverse(X_10)))
| multiply(commutator(X_536,commutator(X_537,X_538)),inverse(X_10)) != inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536))))
| multiply(X_536,multiply(commutator(X_536,commutator(X_537,X_538)),inverse(X_10))) = multiply(X_536,inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_536,multiply(commutator(X_536,commutator(X_537,X_538)),inverse(X_10))),multiply(X_536,multiply(commutator(X_536,commutator(X_537,X_538)),inverse(X_10)))) ),[1,1],$fot(inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536)))))]]) ).
cnf(refute_0_4881,plain,
( multiply(commutator(X_536,commutator(X_537,X_538)),inverse(X_10)) != inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536))))
| multiply(X_536,multiply(commutator(X_536,commutator(X_537,X_538)),inverse(X_10))) = multiply(X_536,inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536))))) ),
inference(resolve,[$cnf( $equal(multiply(X_536,multiply(commutator(X_536,commutator(X_537,X_538)),inverse(X_10))),multiply(X_536,multiply(commutator(X_536,commutator(X_537,X_538)),inverse(X_10)))) )],[refute_0_4879,refute_0_4880]) ).
cnf(refute_0_4882,plain,
multiply(X_536,multiply(commutator(X_536,commutator(X_537,X_538)),inverse(X_10))) = multiply(X_536,inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536))))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_536,commutator(X_537,X_538)),inverse(X_10)),inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536))))) )],[refute_0_4878,refute_0_4881]) ).
cnf(refute_0_4883,plain,
multiply(multiply(X_536,commutator(X_536,commutator(X_537,X_538))),inverse(X_10)) = multiply(X_536,multiply(commutator(X_536,commutator(X_537,X_538)),inverse(X_10))),
inference(subst,[],[associativity:[bind(X,$fot(X_536)),bind(Y,$fot(commutator(X_536,commutator(X_537,X_538)))),bind(Z,$fot(inverse(X_10)))]]) ).
cnf(refute_0_4884,plain,
( multiply(X_536,multiply(commutator(X_536,commutator(X_537,X_538)),inverse(X_10))) != multiply(X_536,inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536)))))
| multiply(multiply(X_536,commutator(X_536,commutator(X_537,X_538))),inverse(X_10)) != multiply(X_536,multiply(commutator(X_536,commutator(X_537,X_538)),inverse(X_10)))
| multiply(multiply(X_536,commutator(X_536,commutator(X_537,X_538))),inverse(X_10)) = multiply(X_536,inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_536,commutator(X_536,commutator(X_537,X_538))),inverse(X_10)))),bind(Y0,$fot(multiply(X_536,multiply(commutator(X_536,commutator(X_537,X_538)),inverse(X_10))))),bind(Z0,$fot(multiply(X_536,inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536)))))))]]) ).
cnf(refute_0_4885,plain,
( multiply(X_536,multiply(commutator(X_536,commutator(X_537,X_538)),inverse(X_10))) != multiply(X_536,inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536)))))
| multiply(multiply(X_536,commutator(X_536,commutator(X_537,X_538))),inverse(X_10)) = multiply(X_536,inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_536,commutator(X_536,commutator(X_537,X_538))),inverse(X_10)),multiply(X_536,multiply(commutator(X_536,commutator(X_537,X_538)),inverse(X_10)))) )],[refute_0_4883,refute_0_4884]) ).
cnf(refute_0_4886,plain,
multiply(multiply(X_536,commutator(X_536,commutator(X_537,X_538))),inverse(X_10)) = multiply(X_536,inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536))))),
inference(resolve,[$cnf( $equal(multiply(X_536,multiply(commutator(X_536,commutator(X_537,X_538)),inverse(X_10))),multiply(X_536,inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536)))))) )],[refute_0_4882,refute_0_4885]) ).
cnf(refute_0_4887,plain,
inverse(multiply(X_10,inverse(multiply(X_536,commutator(X_536,commutator(X_537,X_538)))))) = multiply(multiply(X_536,commutator(X_536,commutator(X_537,X_538))),inverse(X_10)),
inference(subst,[],[refute_0_180:[bind(X,$fot(multiply(X_536,commutator(X_536,commutator(X_537,X_538))))),bind(X_58,$fot(X_10))]]) ).
cnf(refute_0_4888,plain,
( multiply(multiply(X_536,commutator(X_536,commutator(X_537,X_538))),inverse(X_10)) != multiply(X_536,inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536)))))
| inverse(multiply(X_10,inverse(multiply(X_536,commutator(X_536,commutator(X_537,X_538)))))) != multiply(multiply(X_536,commutator(X_536,commutator(X_537,X_538))),inverse(X_10))
| inverse(multiply(X_10,inverse(multiply(X_536,commutator(X_536,commutator(X_537,X_538)))))) = multiply(X_536,inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(X_10,inverse(multiply(X_536,commutator(X_536,commutator(X_537,X_538)))))))),bind(Y0,$fot(multiply(multiply(X_536,commutator(X_536,commutator(X_537,X_538))),inverse(X_10)))),bind(Z0,$fot(multiply(X_536,inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536)))))))]]) ).
cnf(refute_0_4889,plain,
( multiply(multiply(X_536,commutator(X_536,commutator(X_537,X_538))),inverse(X_10)) != multiply(X_536,inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536)))))
| inverse(multiply(X_10,inverse(multiply(X_536,commutator(X_536,commutator(X_537,X_538)))))) = multiply(X_536,inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,inverse(multiply(X_536,commutator(X_536,commutator(X_537,X_538)))))),multiply(multiply(X_536,commutator(X_536,commutator(X_537,X_538))),inverse(X_10))) )],[refute_0_4887,refute_0_4888]) ).
cnf(refute_0_4890,plain,
inverse(multiply(X_10,inverse(multiply(X_536,commutator(X_536,commutator(X_537,X_538)))))) = multiply(X_536,inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536))))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_536,commutator(X_536,commutator(X_537,X_538))),inverse(X_10)),multiply(X_536,inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536)))))) )],[refute_0_4886,refute_0_4889]) ).
cnf(refute_0_4891,plain,
multiply(commutator(X_536,commutator(X_537,X_538)),X_536) = multiply(X_536,commutator(X_536,commutator(X_537,X_538))),
inference(subst,[],[refute_0_2195:[bind(X_102,$fot(commutator(X_537,X_538))),bind(X_58,$fot(X_536))]]) ).
cnf(refute_0_4892,plain,
commutator(commutator(X_537,X_538),inverse(X_536)) = commutator(X_536,commutator(X_537,X_538)),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(X_536)),bind(X_110,$fot(commutator(X_537,X_538)))]]) ).
cnf(refute_0_4893,plain,
multiply(commutator(commutator(X_537,X_538),inverse(X_536)),X_536) = multiply(commutator(commutator(X_537,X_538),inverse(X_536)),X_536),
introduced(tautology,[refl,[$fot(multiply(commutator(commutator(X_537,X_538),inverse(X_536)),X_536))]]) ).
cnf(refute_0_4894,plain,
( multiply(commutator(commutator(X_537,X_538),inverse(X_536)),X_536) != multiply(commutator(commutator(X_537,X_538),inverse(X_536)),X_536)
| commutator(commutator(X_537,X_538),inverse(X_536)) != commutator(X_536,commutator(X_537,X_538))
| multiply(commutator(commutator(X_537,X_538),inverse(X_536)),X_536) = multiply(commutator(X_536,commutator(X_537,X_538)),X_536) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(commutator(X_537,X_538),inverse(X_536)),X_536),multiply(commutator(commutator(X_537,X_538),inverse(X_536)),X_536)) ),[1,0],$fot(commutator(X_536,commutator(X_537,X_538)))]]) ).
cnf(refute_0_4895,plain,
( commutator(commutator(X_537,X_538),inverse(X_536)) != commutator(X_536,commutator(X_537,X_538))
| multiply(commutator(commutator(X_537,X_538),inverse(X_536)),X_536) = multiply(commutator(X_536,commutator(X_537,X_538)),X_536) ),
inference(resolve,[$cnf( $equal(multiply(commutator(commutator(X_537,X_538),inverse(X_536)),X_536),multiply(commutator(commutator(X_537,X_538),inverse(X_536)),X_536)) )],[refute_0_4893,refute_0_4894]) ).
cnf(refute_0_4896,plain,
multiply(commutator(commutator(X_537,X_538),inverse(X_536)),X_536) = multiply(commutator(X_536,commutator(X_537,X_538)),X_536),
inference(resolve,[$cnf( $equal(commutator(commutator(X_537,X_538),inverse(X_536)),commutator(X_536,commutator(X_537,X_538))) )],[refute_0_4892,refute_0_4895]) ).
cnf(refute_0_4897,plain,
( multiply(commutator(X_536,commutator(X_537,X_538)),X_536) != multiply(X_536,commutator(X_536,commutator(X_537,X_538)))
| multiply(commutator(commutator(X_537,X_538),inverse(X_536)),X_536) != multiply(commutator(X_536,commutator(X_537,X_538)),X_536)
| multiply(commutator(commutator(X_537,X_538),inverse(X_536)),X_536) = multiply(X_536,commutator(X_536,commutator(X_537,X_538))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(commutator(X_537,X_538),inverse(X_536)),X_536))),bind(Y0,$fot(multiply(commutator(X_536,commutator(X_537,X_538)),X_536))),bind(Z0,$fot(multiply(X_536,commutator(X_536,commutator(X_537,X_538)))))]]) ).
cnf(refute_0_4898,plain,
( multiply(commutator(X_536,commutator(X_537,X_538)),X_536) != multiply(X_536,commutator(X_536,commutator(X_537,X_538)))
| multiply(commutator(commutator(X_537,X_538),inverse(X_536)),X_536) = multiply(X_536,commutator(X_536,commutator(X_537,X_538))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(commutator(X_537,X_538),inverse(X_536)),X_536),multiply(commutator(X_536,commutator(X_537,X_538)),X_536)) )],[refute_0_4896,refute_0_4897]) ).
cnf(refute_0_4899,plain,
multiply(commutator(commutator(X_537,X_538),inverse(X_536)),X_536) = multiply(X_536,commutator(X_536,commutator(X_537,X_538))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_536,commutator(X_537,X_538)),X_536),multiply(X_536,commutator(X_536,commutator(X_537,X_538)))) )],[refute_0_4891,refute_0_4898]) ).
cnf(refute_0_4900,plain,
inverse(multiply(commutator(commutator(X_537,X_538),inverse(X_536)),X_536)) = inverse(multiply(commutator(commutator(X_537,X_538),inverse(X_536)),X_536)),
introduced(tautology,[refl,[$fot(inverse(multiply(commutator(commutator(X_537,X_538),inverse(X_536)),X_536)))]]) ).
cnf(refute_0_4901,plain,
( multiply(commutator(commutator(X_537,X_538),inverse(X_536)),X_536) != multiply(X_536,commutator(X_536,commutator(X_537,X_538)))
| inverse(multiply(commutator(commutator(X_537,X_538),inverse(X_536)),X_536)) != inverse(multiply(commutator(commutator(X_537,X_538),inverse(X_536)),X_536))
| inverse(multiply(commutator(commutator(X_537,X_538),inverse(X_536)),X_536)) = inverse(multiply(X_536,commutator(X_536,commutator(X_537,X_538)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(commutator(commutator(X_537,X_538),inverse(X_536)),X_536)),inverse(multiply(commutator(commutator(X_537,X_538),inverse(X_536)),X_536))) ),[1,0],$fot(multiply(X_536,commutator(X_536,commutator(X_537,X_538))))]]) ).
cnf(refute_0_4902,plain,
( multiply(commutator(commutator(X_537,X_538),inverse(X_536)),X_536) != multiply(X_536,commutator(X_536,commutator(X_537,X_538)))
| inverse(multiply(commutator(commutator(X_537,X_538),inverse(X_536)),X_536)) = inverse(multiply(X_536,commutator(X_536,commutator(X_537,X_538)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(commutator(X_537,X_538),inverse(X_536)),X_536)),inverse(multiply(commutator(commutator(X_537,X_538),inverse(X_536)),X_536))) )],[refute_0_4900,refute_0_4901]) ).
cnf(refute_0_4903,plain,
inverse(multiply(commutator(commutator(X_537,X_538),inverse(X_536)),X_536)) = inverse(multiply(X_536,commutator(X_536,commutator(X_537,X_538)))),
inference(resolve,[$cnf( $equal(multiply(commutator(commutator(X_537,X_538),inverse(X_536)),X_536),multiply(X_536,commutator(X_536,commutator(X_537,X_538)))) )],[refute_0_4899,refute_0_4902]) ).
cnf(refute_0_4904,plain,
multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))) = inverse(multiply(commutator(commutator(X_537,X_538),inverse(X_536)),X_536)),
inference(subst,[],[refute_0_331:[bind(X_10,$fot(X_536)),bind(X_65,$fot(inverse(X_536))),bind(X_66,$fot(commutator(X_537,X_538)))]]) ).
cnf(refute_0_4905,plain,
( multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))) != inverse(multiply(commutator(commutator(X_537,X_538),inverse(X_536)),X_536))
| inverse(multiply(commutator(commutator(X_537,X_538),inverse(X_536)),X_536)) != inverse(multiply(X_536,commutator(X_536,commutator(X_537,X_538))))
| multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))) = inverse(multiply(X_536,commutator(X_536,commutator(X_537,X_538)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))))),bind(Y0,$fot(inverse(multiply(commutator(commutator(X_537,X_538),inverse(X_536)),X_536)))),bind(Z0,$fot(inverse(multiply(X_536,commutator(X_536,commutator(X_537,X_538))))))]]) ).
cnf(refute_0_4906,plain,
( inverse(multiply(commutator(commutator(X_537,X_538),inverse(X_536)),X_536)) != inverse(multiply(X_536,commutator(X_536,commutator(X_537,X_538))))
| multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))) = inverse(multiply(X_536,commutator(X_536,commutator(X_537,X_538)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))),inverse(multiply(commutator(commutator(X_537,X_538),inverse(X_536)),X_536))) )],[refute_0_4904,refute_0_4905]) ).
cnf(refute_0_4907,plain,
multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))) = inverse(multiply(X_536,commutator(X_536,commutator(X_537,X_538)))),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(commutator(X_537,X_538),inverse(X_536)),X_536)),inverse(multiply(X_536,commutator(X_536,commutator(X_537,X_538))))) )],[refute_0_4903,refute_0_4906]) ).
cnf(refute_0_4908,plain,
multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538)))) = multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538)))),
introduced(tautology,[refl,[$fot(multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538)))))]]) ).
cnf(refute_0_4909,plain,
( multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538)))) != multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))))
| multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))) != inverse(multiply(X_536,commutator(X_536,commutator(X_537,X_538))))
| multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538)))) = multiply(X_10,inverse(multiply(X_536,commutator(X_536,commutator(X_537,X_538))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538)))),multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))))) ),[1,1],$fot(inverse(multiply(X_536,commutator(X_536,commutator(X_537,X_538)))))]]) ).
cnf(refute_0_4910,plain,
( multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))) != inverse(multiply(X_536,commutator(X_536,commutator(X_537,X_538))))
| multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538)))) = multiply(X_10,inverse(multiply(X_536,commutator(X_536,commutator(X_537,X_538))))) ),
inference(resolve,[$cnf( $equal(multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538)))),multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))))) )],[refute_0_4908,refute_0_4909]) ).
cnf(refute_0_4911,plain,
multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538)))) = multiply(X_10,inverse(multiply(X_536,commutator(X_536,commutator(X_537,X_538))))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))),inverse(multiply(X_536,commutator(X_536,commutator(X_537,X_538))))) )],[refute_0_4907,refute_0_4910]) ).
cnf(refute_0_4912,plain,
inverse(multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))))) = inverse(multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))))))]]) ).
cnf(refute_0_4913,plain,
( multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538)))) != multiply(X_10,inverse(multiply(X_536,commutator(X_536,commutator(X_537,X_538)))))
| inverse(multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))))) != inverse(multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538)))))
| inverse(multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))))) = inverse(multiply(X_10,inverse(multiply(X_536,commutator(X_536,commutator(X_537,X_538)))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))))),inverse(multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538)))))) ),[1,0],$fot(multiply(X_10,inverse(multiply(X_536,commutator(X_536,commutator(X_537,X_538))))))]]) ).
cnf(refute_0_4914,plain,
( multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538)))) != multiply(X_10,inverse(multiply(X_536,commutator(X_536,commutator(X_537,X_538)))))
| inverse(multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))))) = inverse(multiply(X_10,inverse(multiply(X_536,commutator(X_536,commutator(X_537,X_538)))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))))),inverse(multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538)))))) )],[refute_0_4912,refute_0_4913]) ).
cnf(refute_0_4915,plain,
inverse(multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))))) = inverse(multiply(X_10,inverse(multiply(X_536,commutator(X_536,commutator(X_537,X_538)))))),
inference(resolve,[$cnf( $equal(multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538)))),multiply(X_10,inverse(multiply(X_536,commutator(X_536,commutator(X_537,X_538)))))) )],[refute_0_4911,refute_0_4914]) ).
cnf(refute_0_4916,plain,
( inverse(multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))))) != inverse(multiply(X_10,inverse(multiply(X_536,commutator(X_536,commutator(X_537,X_538))))))
| inverse(multiply(X_10,inverse(multiply(X_536,commutator(X_536,commutator(X_537,X_538)))))) != multiply(X_536,inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536)))))
| inverse(multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))))) = multiply(X_536,inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))))))),bind(Y0,$fot(inverse(multiply(X_10,inverse(multiply(X_536,commutator(X_536,commutator(X_537,X_538)))))))),bind(Z0,$fot(multiply(X_536,inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536)))))))]]) ).
cnf(refute_0_4917,plain,
( inverse(multiply(X_10,inverse(multiply(X_536,commutator(X_536,commutator(X_537,X_538)))))) != multiply(X_536,inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536)))))
| inverse(multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))))) = multiply(X_536,inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))))),inverse(multiply(X_10,inverse(multiply(X_536,commutator(X_536,commutator(X_537,X_538))))))) )],[refute_0_4915,refute_0_4916]) ).
cnf(refute_0_4918,plain,
inverse(multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))))) = multiply(X_536,inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536))))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,inverse(multiply(X_536,commutator(X_536,commutator(X_537,X_538)))))),multiply(X_536,inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536)))))) )],[refute_0_4890,refute_0_4917]) ).
cnf(refute_0_4919,plain,
( inverse(multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))))) != multiply(X_536,inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536)))))
| inverse(multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))))) != inverse(multiply(X_10,multiply(inverse(commutator(X_537,X_538)),inverse(multiply(commutator(X_538,X_537),X_536)))))
| multiply(X_536,inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536))))) = inverse(multiply(X_10,multiply(inverse(commutator(X_537,X_538)),inverse(multiply(commutator(X_538,X_537),X_536))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))))),inverse(multiply(X_10,multiply(inverse(commutator(X_537,X_538)),inverse(multiply(commutator(X_538,X_537),X_536)))))) ),[0],$fot(multiply(X_536,inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536))))))]]) ).
cnf(refute_0_4920,plain,
( inverse(multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))))) != inverse(multiply(X_10,multiply(inverse(commutator(X_537,X_538)),inverse(multiply(commutator(X_538,X_537),X_536)))))
| multiply(X_536,inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536))))) = inverse(multiply(X_10,multiply(inverse(commutator(X_537,X_538)),inverse(multiply(commutator(X_538,X_537),X_536))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))))),multiply(X_536,inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536)))))) )],[refute_0_4918,refute_0_4919]) ).
cnf(refute_0_4921,plain,
multiply(commutator(X_537,X_538),inverse(X_10)) = inverse(multiply(X_10,commutator(X_538,X_537))),
inference(subst,[],[refute_0_378:[bind(X_58,$fot(X_10)),bind(X_65,$fot(X_537)),bind(X_66,$fot(X_538))]]) ).
cnf(refute_0_4922,plain,
inverse(multiply(X_10,inverse(commutator(X_537,X_538)))) = multiply(commutator(X_537,X_538),inverse(X_10)),
inference(subst,[],[refute_0_180:[bind(X,$fot(commutator(X_537,X_538))),bind(X_58,$fot(X_10))]]) ).
cnf(refute_0_4923,plain,
( multiply(commutator(X_537,X_538),inverse(X_10)) != inverse(multiply(X_10,commutator(X_538,X_537)))
| inverse(multiply(X_10,inverse(commutator(X_537,X_538)))) != multiply(commutator(X_537,X_538),inverse(X_10))
| inverse(multiply(X_10,inverse(commutator(X_537,X_538)))) = inverse(multiply(X_10,commutator(X_538,X_537))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(X_10,inverse(commutator(X_537,X_538)))))),bind(Y0,$fot(multiply(commutator(X_537,X_538),inverse(X_10)))),bind(Z0,$fot(inverse(multiply(X_10,commutator(X_538,X_537)))))]]) ).
cnf(refute_0_4924,plain,
( multiply(commutator(X_537,X_538),inverse(X_10)) != inverse(multiply(X_10,commutator(X_538,X_537)))
| inverse(multiply(X_10,inverse(commutator(X_537,X_538)))) = inverse(multiply(X_10,commutator(X_538,X_537))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,inverse(commutator(X_537,X_538)))),multiply(commutator(X_537,X_538),inverse(X_10))) )],[refute_0_4922,refute_0_4923]) ).
cnf(refute_0_4925,plain,
inverse(multiply(X_10,inverse(commutator(X_537,X_538)))) = inverse(multiply(X_10,commutator(X_538,X_537))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_537,X_538),inverse(X_10)),inverse(multiply(X_10,commutator(X_538,X_537)))) )],[refute_0_4921,refute_0_4924]) ).
cnf(refute_0_4926,plain,
multiply(X_536,inverse(multiply(X_10,inverse(commutator(X_537,X_538))))) = multiply(X_536,inverse(multiply(X_10,inverse(commutator(X_537,X_538))))),
introduced(tautology,[refl,[$fot(multiply(X_536,inverse(multiply(X_10,inverse(commutator(X_537,X_538))))))]]) ).
cnf(refute_0_4927,plain,
( multiply(X_536,inverse(multiply(X_10,inverse(commutator(X_537,X_538))))) != multiply(X_536,inverse(multiply(X_10,inverse(commutator(X_537,X_538)))))
| inverse(multiply(X_10,inverse(commutator(X_537,X_538)))) != inverse(multiply(X_10,commutator(X_538,X_537)))
| multiply(X_536,inverse(multiply(X_10,inverse(commutator(X_537,X_538))))) = multiply(X_536,inverse(multiply(X_10,commutator(X_538,X_537)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_536,inverse(multiply(X_10,inverse(commutator(X_537,X_538))))),multiply(X_536,inverse(multiply(X_10,inverse(commutator(X_537,X_538)))))) ),[1,1],$fot(inverse(multiply(X_10,commutator(X_538,X_537))))]]) ).
cnf(refute_0_4928,plain,
( inverse(multiply(X_10,inverse(commutator(X_537,X_538)))) != inverse(multiply(X_10,commutator(X_538,X_537)))
| multiply(X_536,inverse(multiply(X_10,inverse(commutator(X_537,X_538))))) = multiply(X_536,inverse(multiply(X_10,commutator(X_538,X_537)))) ),
inference(resolve,[$cnf( $equal(multiply(X_536,inverse(multiply(X_10,inverse(commutator(X_537,X_538))))),multiply(X_536,inverse(multiply(X_10,inverse(commutator(X_537,X_538)))))) )],[refute_0_4926,refute_0_4927]) ).
cnf(refute_0_4929,plain,
multiply(X_536,inverse(multiply(X_10,inverse(commutator(X_537,X_538))))) = multiply(X_536,inverse(multiply(X_10,commutator(X_538,X_537)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,inverse(commutator(X_537,X_538)))),inverse(multiply(X_10,commutator(X_538,X_537)))) )],[refute_0_4925,refute_0_4928]) ).
cnf(refute_0_4930,plain,
multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,inverse(commutator(X_537,X_538)))))) = multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,inverse(commutator(X_537,X_538)))))),
introduced(tautology,[refl,[$fot(multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,inverse(commutator(X_537,X_538)))))))]]) ).
cnf(refute_0_4931,plain,
( multiply(X_536,inverse(multiply(X_10,inverse(commutator(X_537,X_538))))) != multiply(X_536,inverse(multiply(X_10,commutator(X_538,X_537))))
| multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,inverse(commutator(X_537,X_538)))))) != multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,inverse(commutator(X_537,X_538))))))
| multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,inverse(commutator(X_537,X_538)))))) = multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,commutator(X_538,X_537))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,inverse(commutator(X_537,X_538)))))),multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,inverse(commutator(X_537,X_538))))))) ),[1,1],$fot(multiply(X_536,inverse(multiply(X_10,commutator(X_538,X_537)))))]]) ).
cnf(refute_0_4932,plain,
( multiply(X_536,inverse(multiply(X_10,inverse(commutator(X_537,X_538))))) != multiply(X_536,inverse(multiply(X_10,commutator(X_538,X_537))))
| multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,inverse(commutator(X_537,X_538)))))) = multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,commutator(X_538,X_537))))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,inverse(commutator(X_537,X_538)))))),multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,inverse(commutator(X_537,X_538))))))) )],[refute_0_4930,refute_0_4931]) ).
cnf(refute_0_4933,plain,
multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,inverse(commutator(X_537,X_538)))))) = multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,commutator(X_538,X_537))))),
inference(resolve,[$cnf( $equal(multiply(X_536,inverse(multiply(X_10,inverse(commutator(X_537,X_538))))),multiply(X_536,inverse(multiply(X_10,commutator(X_538,X_537))))) )],[refute_0_4929,refute_0_4932]) ).
cnf(refute_0_4934,plain,
multiply(multiply(commutator(X_538,X_537),X_536),inverse(multiply(X_10,inverse(commutator(X_537,X_538))))) = multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,inverse(commutator(X_537,X_538)))))),
inference(subst,[],[associativity:[bind(X,$fot(commutator(X_538,X_537))),bind(Y,$fot(X_536)),bind(Z,$fot(inverse(multiply(X_10,inverse(commutator(X_537,X_538))))))]]) ).
cnf(refute_0_4935,plain,
inverse(multiply(X_10,multiply(inverse(commutator(X_537,X_538)),inverse(multiply(commutator(X_538,X_537),X_536))))) = multiply(multiply(commutator(X_538,X_537),X_536),inverse(multiply(X_10,inverse(commutator(X_537,X_538))))),
inference(subst,[],[refute_0_860:[bind(X_58,$fot(X_10)),bind(X_89,$fot(multiply(commutator(X_538,X_537),X_536))),bind(X_90,$fot(inverse(commutator(X_537,X_538))))]]) ).
cnf(refute_0_4936,plain,
( multiply(multiply(commutator(X_538,X_537),X_536),inverse(multiply(X_10,inverse(commutator(X_537,X_538))))) != multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,inverse(commutator(X_537,X_538))))))
| inverse(multiply(X_10,multiply(inverse(commutator(X_537,X_538)),inverse(multiply(commutator(X_538,X_537),X_536))))) != multiply(multiply(commutator(X_538,X_537),X_536),inverse(multiply(X_10,inverse(commutator(X_537,X_538)))))
| inverse(multiply(X_10,multiply(inverse(commutator(X_537,X_538)),inverse(multiply(commutator(X_538,X_537),X_536))))) = multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,inverse(commutator(X_537,X_538)))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(X_10,multiply(inverse(commutator(X_537,X_538)),inverse(multiply(commutator(X_538,X_537),X_536))))))),bind(Y0,$fot(multiply(multiply(commutator(X_538,X_537),X_536),inverse(multiply(X_10,inverse(commutator(X_537,X_538))))))),bind(Z0,$fot(multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,inverse(commutator(X_537,X_538))))))))]]) ).
cnf(refute_0_4937,plain,
( multiply(multiply(commutator(X_538,X_537),X_536),inverse(multiply(X_10,inverse(commutator(X_537,X_538))))) != multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,inverse(commutator(X_537,X_538))))))
| inverse(multiply(X_10,multiply(inverse(commutator(X_537,X_538)),inverse(multiply(commutator(X_538,X_537),X_536))))) = multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,inverse(commutator(X_537,X_538)))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,multiply(inverse(commutator(X_537,X_538)),inverse(multiply(commutator(X_538,X_537),X_536))))),multiply(multiply(commutator(X_538,X_537),X_536),inverse(multiply(X_10,inverse(commutator(X_537,X_538)))))) )],[refute_0_4935,refute_0_4936]) ).
cnf(refute_0_4938,plain,
inverse(multiply(X_10,multiply(inverse(commutator(X_537,X_538)),inverse(multiply(commutator(X_538,X_537),X_536))))) = multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,inverse(commutator(X_537,X_538)))))),
inference(resolve,[$cnf( $equal(multiply(multiply(commutator(X_538,X_537),X_536),inverse(multiply(X_10,inverse(commutator(X_537,X_538))))),multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,inverse(commutator(X_537,X_538))))))) )],[refute_0_4934,refute_0_4937]) ).
cnf(refute_0_4939,plain,
( multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,inverse(commutator(X_537,X_538)))))) != multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,commutator(X_538,X_537)))))
| inverse(multiply(X_10,multiply(inverse(commutator(X_537,X_538)),inverse(multiply(commutator(X_538,X_537),X_536))))) != multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,inverse(commutator(X_537,X_538))))))
| inverse(multiply(X_10,multiply(inverse(commutator(X_537,X_538)),inverse(multiply(commutator(X_538,X_537),X_536))))) = multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,commutator(X_538,X_537))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(X_10,multiply(inverse(commutator(X_537,X_538)),inverse(multiply(commutator(X_538,X_537),X_536))))))),bind(Y0,$fot(multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,inverse(commutator(X_537,X_538)))))))),bind(Z0,$fot(multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,commutator(X_538,X_537)))))))]]) ).
cnf(refute_0_4940,plain,
( multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,inverse(commutator(X_537,X_538)))))) != multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,commutator(X_538,X_537)))))
| inverse(multiply(X_10,multiply(inverse(commutator(X_537,X_538)),inverse(multiply(commutator(X_538,X_537),X_536))))) = multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,commutator(X_538,X_537))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,multiply(inverse(commutator(X_537,X_538)),inverse(multiply(commutator(X_538,X_537),X_536))))),multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,inverse(commutator(X_537,X_538))))))) )],[refute_0_4938,refute_0_4939]) ).
cnf(refute_0_4941,plain,
inverse(multiply(X_10,multiply(inverse(commutator(X_537,X_538)),inverse(multiply(commutator(X_538,X_537),X_536))))) = multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,commutator(X_538,X_537))))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,inverse(commutator(X_537,X_538)))))),multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,commutator(X_538,X_537)))))) )],[refute_0_4933,refute_0_4940]) ).
cnf(refute_0_4942,plain,
( multiply(X_536,inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536))))) != inverse(multiply(X_10,multiply(inverse(commutator(X_537,X_538)),inverse(multiply(commutator(X_538,X_537),X_536)))))
| inverse(multiply(X_10,multiply(inverse(commutator(X_537,X_538)),inverse(multiply(commutator(X_538,X_537),X_536))))) != multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,commutator(X_538,X_537)))))
| multiply(X_536,inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536))))) = multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,commutator(X_538,X_537))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_536,inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536))))),multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,commutator(X_538,X_537)))))) ),[0],$fot(inverse(multiply(X_10,multiply(inverse(commutator(X_537,X_538)),inverse(multiply(commutator(X_538,X_537),X_536))))))]]) ).
cnf(refute_0_4943,plain,
( multiply(X_536,inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536))))) != inverse(multiply(X_10,multiply(inverse(commutator(X_537,X_538)),inverse(multiply(commutator(X_538,X_537),X_536)))))
| multiply(X_536,inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536))))) = multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,commutator(X_538,X_537))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,multiply(inverse(commutator(X_537,X_538)),inverse(multiply(commutator(X_538,X_537),X_536))))),multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,commutator(X_538,X_537)))))) )],[refute_0_4941,refute_0_4942]) ).
cnf(refute_0_4944,plain,
( inverse(multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))))) != inverse(multiply(X_10,multiply(inverse(commutator(X_537,X_538)),inverse(multiply(commutator(X_538,X_537),X_536)))))
| multiply(X_536,inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536))))) = multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,commutator(X_538,X_537))))) ),
inference(resolve,[$cnf( $equal(multiply(X_536,inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536))))),inverse(multiply(X_10,multiply(inverse(commutator(X_537,X_538)),inverse(multiply(commutator(X_538,X_537),X_536)))))) )],[refute_0_4920,refute_0_4943]) ).
cnf(refute_0_4945,plain,
multiply(X_536,inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536))))) = multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,commutator(X_538,X_537))))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,multiply(inverse(X_536),commutator(inverse(X_536),commutator(X_537,X_538))))),inverse(multiply(X_10,multiply(inverse(commutator(X_537,X_538)),inverse(multiply(commutator(X_538,X_537),X_536)))))) )],[refute_0_4865,refute_0_4944]) ).
cnf(refute_0_4946,plain,
( multiply(X_536,inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536))))) != multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,commutator(X_538,X_537)))))
| multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,commutator(X_538,X_537))))) = multiply(X_536,inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536))))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(X_536,inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536))))))),bind(Y0,$fot(multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,commutator(X_538,X_537)))))))]]) ).
cnf(refute_0_4947,plain,
multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,commutator(X_538,X_537))))) = multiply(X_536,inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536))))),
inference(resolve,[$cnf( $equal(multiply(X_536,inverse(multiply(X_10,commutator(X_537,commutator(X_538,X_536))))),multiply(commutator(X_538,X_537),multiply(X_536,inverse(multiply(X_10,commutator(X_538,X_537)))))) )],[refute_0_4945,refute_0_4946]) ).
cnf(refute_0_4948,plain,
multiply(commutator(multiply(X_471,X_471),X_470),multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))) = multiply(X_470,inverse(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470))))),
inference(subst,[],[refute_0_4947:[bind(X_10,$fot(X_27)),bind(X_536,$fot(X_470)),bind(X_537,$fot(X_470)),bind(X_538,$fot(multiply(X_471,X_471)))]]) ).
cnf(refute_0_4949,plain,
multiply(multiply(commutator(X_644,X_643),commutator(X_644,X_643)),Z) = multiply(commutator(X_644,X_643),multiply(commutator(X_644,X_643),Z)),
inference(subst,[],[associativity:[bind(X,$fot(commutator(X_644,X_643))),bind(Y,$fot(commutator(X_644,X_643)))]]) ).
cnf(refute_0_4950,plain,
commutator(multiply(X_644,X_644),X_643) = multiply(commutator(X_644,X_643),commutator(X_644,X_643)),
inference(subst,[],[refute_0_2684:[bind(X_325,$fot(X_643)),bind(X_90,$fot(X_644))]]) ).
cnf(refute_0_4951,plain,
( commutator(multiply(X_644,X_644),X_643) != multiply(commutator(X_644,X_643),commutator(X_644,X_643))
| multiply(commutator(X_644,X_643),commutator(X_644,X_643)) = commutator(multiply(X_644,X_644),X_643) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(multiply(X_644,X_644),X_643))),bind(Y0,$fot(multiply(commutator(X_644,X_643),commutator(X_644,X_643))))]]) ).
cnf(refute_0_4952,plain,
multiply(commutator(X_644,X_643),commutator(X_644,X_643)) = commutator(multiply(X_644,X_644),X_643),
inference(resolve,[$cnf( $equal(commutator(multiply(X_644,X_644),X_643),multiply(commutator(X_644,X_643),commutator(X_644,X_643))) )],[refute_0_4950,refute_0_4951]) ).
cnf(refute_0_4953,plain,
( multiply(multiply(commutator(X_644,X_643),commutator(X_644,X_643)),Z) != multiply(commutator(X_644,X_643),multiply(commutator(X_644,X_643),Z))
| multiply(commutator(X_644,X_643),commutator(X_644,X_643)) != commutator(multiply(X_644,X_644),X_643)
| multiply(commutator(multiply(X_644,X_644),X_643),Z) = multiply(commutator(X_644,X_643),multiply(commutator(X_644,X_643),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(commutator(X_644,X_643),commutator(X_644,X_643)),Z),multiply(commutator(X_644,X_643),multiply(commutator(X_644,X_643),Z))) ),[0,0],$fot(commutator(multiply(X_644,X_644),X_643))]]) ).
cnf(refute_0_4954,plain,
( multiply(multiply(commutator(X_644,X_643),commutator(X_644,X_643)),Z) != multiply(commutator(X_644,X_643),multiply(commutator(X_644,X_643),Z))
| multiply(commutator(multiply(X_644,X_644),X_643),Z) = multiply(commutator(X_644,X_643),multiply(commutator(X_644,X_643),Z)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_644,X_643),commutator(X_644,X_643)),commutator(multiply(X_644,X_644),X_643)) )],[refute_0_4952,refute_0_4953]) ).
cnf(refute_0_4955,plain,
multiply(commutator(multiply(X_644,X_644),X_643),Z) = multiply(commutator(X_644,X_643),multiply(commutator(X_644,X_643),Z)),
inference(resolve,[$cnf( $equal(multiply(multiply(commutator(X_644,X_643),commutator(X_644,X_643)),Z),multiply(commutator(X_644,X_643),multiply(commutator(X_644,X_643),Z))) )],[refute_0_4949,refute_0_4954]) ).
cnf(refute_0_4956,plain,
multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66)))) = multiply(commutator(X_66,X_65),multiply(commutator(X_65,X_66),multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66)))))),
inference(subst,[],[refute_0_640:[bind(Z,$fot(multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66))))))]]) ).
cnf(refute_0_4957,plain,
multiply(commutator(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),multiply(multiply(X_211,inverse(X_210)),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))) = inverse(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),
inference(subst,[],[refute_0_1884:[bind(X_10,$fot(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))),bind(X_136,$fot(multiply(X_211,inverse(X_210))))]]) ).
cnf(refute_0_4958,plain,
identity = commutator(multiply(inverse(X_127),inverse(multiply(inverse(X_127),multiply(X_128,X_127)))),multiply(X_128,X_127)),
inference(subst,[],[refute_0_1289:[bind(X_10,$fot(inverse(X_127))),bind(X_106,$fot(multiply(X_128,X_127)))]]) ).
cnf(refute_0_4959,plain,
( multiply(inverse(X_127),multiply(X_128,X_127)) != multiply(X_128,commutator(X_128,X_127))
| identity != commutator(multiply(inverse(X_127),inverse(multiply(inverse(X_127),multiply(X_128,X_127)))),multiply(X_128,X_127))
| identity = commutator(multiply(inverse(X_127),inverse(multiply(X_128,commutator(X_128,X_127)))),multiply(X_128,X_127)) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(multiply(inverse(X_127),inverse(multiply(inverse(X_127),multiply(X_128,X_127)))),multiply(X_128,X_127))) ),[1,0,1,0],$fot(multiply(X_128,commutator(X_128,X_127)))]]) ).
cnf(refute_0_4960,plain,
( identity != commutator(multiply(inverse(X_127),inverse(multiply(inverse(X_127),multiply(X_128,X_127)))),multiply(X_128,X_127))
| identity = commutator(multiply(inverse(X_127),inverse(multiply(X_128,commutator(X_128,X_127)))),multiply(X_128,X_127)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_127),multiply(X_128,X_127)),multiply(X_128,commutator(X_128,X_127))) )],[refute_0_803,refute_0_4959]) ).
cnf(refute_0_4961,plain,
identity = commutator(multiply(inverse(X_127),inverse(multiply(X_128,commutator(X_128,X_127)))),multiply(X_128,X_127)),
inference(resolve,[$cnf( $equal(identity,commutator(multiply(inverse(X_127),inverse(multiply(inverse(X_127),multiply(X_128,X_127)))),multiply(X_128,X_127))) )],[refute_0_4958,refute_0_4960]) ).
cnf(refute_0_4962,plain,
multiply(multiply(X_128,commutator(X_128,X_127)),X_127) = multiply(X_128,multiply(commutator(X_128,X_127),X_127)),
inference(subst,[],[associativity:[bind(X,$fot(X_128)),bind(Y,$fot(commutator(X_128,X_127))),bind(Z,$fot(X_127))]]) ).
cnf(refute_0_4963,plain,
inverse(inverse(multiply(X_128,commutator(X_128,X_127)))) = multiply(X_128,commutator(X_128,X_127)),
inference(subst,[],[refute_0_152:[bind(X_27,$fot(multiply(X_128,commutator(X_128,X_127))))]]) ).
cnf(refute_0_4964,plain,
multiply(inverse(inverse(multiply(X_128,commutator(X_128,X_127)))),X_127) = multiply(inverse(inverse(multiply(X_128,commutator(X_128,X_127)))),X_127),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(multiply(X_128,commutator(X_128,X_127)))),X_127))]]) ).
cnf(refute_0_4965,plain,
( multiply(inverse(inverse(multiply(X_128,commutator(X_128,X_127)))),X_127) != multiply(inverse(inverse(multiply(X_128,commutator(X_128,X_127)))),X_127)
| inverse(inverse(multiply(X_128,commutator(X_128,X_127)))) != multiply(X_128,commutator(X_128,X_127))
| multiply(inverse(inverse(multiply(X_128,commutator(X_128,X_127)))),X_127) = multiply(multiply(X_128,commutator(X_128,X_127)),X_127) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(multiply(X_128,commutator(X_128,X_127)))),X_127),multiply(inverse(inverse(multiply(X_128,commutator(X_128,X_127)))),X_127)) ),[1,0],$fot(multiply(X_128,commutator(X_128,X_127)))]]) ).
cnf(refute_0_4966,plain,
( inverse(inverse(multiply(X_128,commutator(X_128,X_127)))) != multiply(X_128,commutator(X_128,X_127))
| multiply(inverse(inverse(multiply(X_128,commutator(X_128,X_127)))),X_127) = multiply(multiply(X_128,commutator(X_128,X_127)),X_127) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_128,commutator(X_128,X_127)))),X_127),multiply(inverse(inverse(multiply(X_128,commutator(X_128,X_127)))),X_127)) )],[refute_0_4964,refute_0_4965]) ).
cnf(refute_0_4967,plain,
multiply(inverse(inverse(multiply(X_128,commutator(X_128,X_127)))),X_127) = multiply(multiply(X_128,commutator(X_128,X_127)),X_127),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_128,commutator(X_128,X_127)))),multiply(X_128,commutator(X_128,X_127))) )],[refute_0_4963,refute_0_4966]) ).
cnf(refute_0_4968,plain,
( multiply(multiply(X_128,commutator(X_128,X_127)),X_127) != multiply(X_128,multiply(commutator(X_128,X_127),X_127))
| multiply(inverse(inverse(multiply(X_128,commutator(X_128,X_127)))),X_127) != multiply(multiply(X_128,commutator(X_128,X_127)),X_127)
| multiply(inverse(inverse(multiply(X_128,commutator(X_128,X_127)))),X_127) = multiply(X_128,multiply(commutator(X_128,X_127),X_127)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(inverse(multiply(X_128,commutator(X_128,X_127)))),X_127))),bind(Y0,$fot(multiply(multiply(X_128,commutator(X_128,X_127)),X_127))),bind(Z0,$fot(multiply(X_128,multiply(commutator(X_128,X_127),X_127))))]]) ).
cnf(refute_0_4969,plain,
( multiply(multiply(X_128,commutator(X_128,X_127)),X_127) != multiply(X_128,multiply(commutator(X_128,X_127),X_127))
| multiply(inverse(inverse(multiply(X_128,commutator(X_128,X_127)))),X_127) = multiply(X_128,multiply(commutator(X_128,X_127),X_127)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_128,commutator(X_128,X_127)))),X_127),multiply(multiply(X_128,commutator(X_128,X_127)),X_127)) )],[refute_0_4967,refute_0_4968]) ).
cnf(refute_0_4970,plain,
multiply(inverse(inverse(multiply(X_128,commutator(X_128,X_127)))),X_127) = multiply(X_128,multiply(commutator(X_128,X_127),X_127)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_128,commutator(X_128,X_127)),X_127),multiply(X_128,multiply(commutator(X_128,X_127),X_127))) )],[refute_0_4962,refute_0_4969]) ).
cnf(refute_0_4971,plain,
commutator(multiply(X_128,X_127),multiply(inverse(inverse(multiply(X_128,commutator(X_128,X_127)))),X_127)) = commutator(multiply(X_128,X_127),multiply(inverse(inverse(multiply(X_128,commutator(X_128,X_127)))),X_127)),
introduced(tautology,[refl,[$fot(commutator(multiply(X_128,X_127),multiply(inverse(inverse(multiply(X_128,commutator(X_128,X_127)))),X_127)))]]) ).
cnf(refute_0_4972,plain,
( multiply(inverse(inverse(multiply(X_128,commutator(X_128,X_127)))),X_127) != multiply(X_128,multiply(commutator(X_128,X_127),X_127))
| commutator(multiply(X_128,X_127),multiply(inverse(inverse(multiply(X_128,commutator(X_128,X_127)))),X_127)) != commutator(multiply(X_128,X_127),multiply(inverse(inverse(multiply(X_128,commutator(X_128,X_127)))),X_127))
| commutator(multiply(X_128,X_127),multiply(inverse(inverse(multiply(X_128,commutator(X_128,X_127)))),X_127)) = commutator(multiply(X_128,X_127),multiply(X_128,multiply(commutator(X_128,X_127),X_127))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_128,X_127),multiply(inverse(inverse(multiply(X_128,commutator(X_128,X_127)))),X_127)),commutator(multiply(X_128,X_127),multiply(inverse(inverse(multiply(X_128,commutator(X_128,X_127)))),X_127))) ),[1,1],$fot(multiply(X_128,multiply(commutator(X_128,X_127),X_127)))]]) ).
cnf(refute_0_4973,plain,
( multiply(inverse(inverse(multiply(X_128,commutator(X_128,X_127)))),X_127) != multiply(X_128,multiply(commutator(X_128,X_127),X_127))
| commutator(multiply(X_128,X_127),multiply(inverse(inverse(multiply(X_128,commutator(X_128,X_127)))),X_127)) = commutator(multiply(X_128,X_127),multiply(X_128,multiply(commutator(X_128,X_127),X_127))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_128,X_127),multiply(inverse(inverse(multiply(X_128,commutator(X_128,X_127)))),X_127)),commutator(multiply(X_128,X_127),multiply(inverse(inverse(multiply(X_128,commutator(X_128,X_127)))),X_127))) )],[refute_0_4971,refute_0_4972]) ).
cnf(refute_0_4974,plain,
commutator(multiply(X_128,X_127),multiply(inverse(inverse(multiply(X_128,commutator(X_128,X_127)))),X_127)) = commutator(multiply(X_128,X_127),multiply(X_128,multiply(commutator(X_128,X_127),X_127))),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_128,commutator(X_128,X_127)))),X_127),multiply(X_128,multiply(commutator(X_128,X_127),X_127))) )],[refute_0_4970,refute_0_4973]) ).
cnf(refute_0_4975,plain,
commutator(multiply(inverse(X_61),Z),X_114) = commutator(X_114,inverse(multiply(inverse(X_61),Z))),
inference(subst,[],[refute_0_572:[bind(X_109,$fot(multiply(inverse(X_61),Z))),bind(X_110,$fot(X_114))]]) ).
cnf(refute_0_4976,plain,
( commutator(multiply(inverse(X_61),Z),X_114) != commutator(X_114,inverse(multiply(inverse(X_61),Z)))
| inverse(multiply(inverse(X_61),Z)) != multiply(inverse(Z),X_61)
| commutator(multiply(inverse(X_61),Z),X_114) = commutator(X_114,multiply(inverse(Z),X_61)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(X_61),Z),X_114),commutator(X_114,inverse(multiply(inverse(X_61),Z)))) ),[1,1],$fot(multiply(inverse(Z),X_61))]]) ).
cnf(refute_0_4977,plain,
( commutator(multiply(inverse(X_61),Z),X_114) != commutator(X_114,inverse(multiply(inverse(X_61),Z)))
| commutator(multiply(inverse(X_61),Z),X_114) = commutator(X_114,multiply(inverse(Z),X_61)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_61),Z)),multiply(inverse(Z),X_61)) )],[refute_0_294,refute_0_4976]) ).
cnf(refute_0_4978,plain,
commutator(multiply(inverse(X_61),Z),X_114) = commutator(X_114,multiply(inverse(Z),X_61)),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_61),Z),X_114),commutator(X_114,inverse(multiply(inverse(X_61),Z)))) )],[refute_0_4975,refute_0_4977]) ).
cnf(refute_0_4979,plain,
commutator(multiply(inverse(X_127),inverse(multiply(X_128,commutator(X_128,X_127)))),multiply(X_128,X_127)) = commutator(multiply(X_128,X_127),multiply(inverse(inverse(multiply(X_128,commutator(X_128,X_127)))),X_127)),
inference(subst,[],[refute_0_4978:[bind(Z,$fot(inverse(multiply(X_128,commutator(X_128,X_127))))),bind(X_114,$fot(multiply(X_128,X_127))),bind(X_61,$fot(X_127))]]) ).
cnf(refute_0_4980,plain,
( commutator(multiply(X_128,X_127),multiply(inverse(inverse(multiply(X_128,commutator(X_128,X_127)))),X_127)) != commutator(multiply(X_128,X_127),multiply(X_128,multiply(commutator(X_128,X_127),X_127)))
| commutator(multiply(inverse(X_127),inverse(multiply(X_128,commutator(X_128,X_127)))),multiply(X_128,X_127)) != commutator(multiply(X_128,X_127),multiply(inverse(inverse(multiply(X_128,commutator(X_128,X_127)))),X_127))
| commutator(multiply(inverse(X_127),inverse(multiply(X_128,commutator(X_128,X_127)))),multiply(X_128,X_127)) = commutator(multiply(X_128,X_127),multiply(X_128,multiply(commutator(X_128,X_127),X_127))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(inverse(X_127),inverse(multiply(X_128,commutator(X_128,X_127)))),multiply(X_128,X_127)))),bind(Y0,$fot(commutator(multiply(X_128,X_127),multiply(inverse(inverse(multiply(X_128,commutator(X_128,X_127)))),X_127)))),bind(Z0,$fot(commutator(multiply(X_128,X_127),multiply(X_128,multiply(commutator(X_128,X_127),X_127)))))]]) ).
cnf(refute_0_4981,plain,
( commutator(multiply(X_128,X_127),multiply(inverse(inverse(multiply(X_128,commutator(X_128,X_127)))),X_127)) != commutator(multiply(X_128,X_127),multiply(X_128,multiply(commutator(X_128,X_127),X_127)))
| commutator(multiply(inverse(X_127),inverse(multiply(X_128,commutator(X_128,X_127)))),multiply(X_128,X_127)) = commutator(multiply(X_128,X_127),multiply(X_128,multiply(commutator(X_128,X_127),X_127))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_127),inverse(multiply(X_128,commutator(X_128,X_127)))),multiply(X_128,X_127)),commutator(multiply(X_128,X_127),multiply(inverse(inverse(multiply(X_128,commutator(X_128,X_127)))),X_127))) )],[refute_0_4979,refute_0_4980]) ).
cnf(refute_0_4982,plain,
commutator(multiply(inverse(X_127),inverse(multiply(X_128,commutator(X_128,X_127)))),multiply(X_128,X_127)) = commutator(multiply(X_128,X_127),multiply(X_128,multiply(commutator(X_128,X_127),X_127))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_128,X_127),multiply(inverse(inverse(multiply(X_128,commutator(X_128,X_127)))),X_127)),commutator(multiply(X_128,X_127),multiply(X_128,multiply(commutator(X_128,X_127),X_127)))) )],[refute_0_4974,refute_0_4981]) ).
cnf(refute_0_4983,plain,
( commutator(multiply(inverse(X_127),inverse(multiply(X_128,commutator(X_128,X_127)))),multiply(X_128,X_127)) != commutator(multiply(X_128,X_127),multiply(X_128,multiply(commutator(X_128,X_127),X_127)))
| identity != commutator(multiply(inverse(X_127),inverse(multiply(X_128,commutator(X_128,X_127)))),multiply(X_128,X_127))
| identity = commutator(multiply(X_128,X_127),multiply(X_128,multiply(commutator(X_128,X_127),X_127))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(multiply(inverse(X_127),inverse(multiply(X_128,commutator(X_128,X_127)))),multiply(X_128,X_127))) ),[1],$fot(commutator(multiply(X_128,X_127),multiply(X_128,multiply(commutator(X_128,X_127),X_127))))]]) ).
cnf(refute_0_4984,plain,
( identity != commutator(multiply(inverse(X_127),inverse(multiply(X_128,commutator(X_128,X_127)))),multiply(X_128,X_127))
| identity = commutator(multiply(X_128,X_127),multiply(X_128,multiply(commutator(X_128,X_127),X_127))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_127),inverse(multiply(X_128,commutator(X_128,X_127)))),multiply(X_128,X_127)),commutator(multiply(X_128,X_127),multiply(X_128,multiply(commutator(X_128,X_127),X_127)))) )],[refute_0_4982,refute_0_4983]) ).
cnf(refute_0_4985,plain,
identity = commutator(multiply(X_128,X_127),multiply(X_128,multiply(commutator(X_128,X_127),X_127))),
inference(resolve,[$cnf( $equal(identity,commutator(multiply(inverse(X_127),inverse(multiply(X_128,commutator(X_128,X_127)))),multiply(X_128,X_127))) )],[refute_0_4961,refute_0_4984]) ).
cnf(refute_0_4986,plain,
identity = commutator(multiply(X_130,inverse(X_109)),multiply(X_130,multiply(commutator(X_130,inverse(X_109)),inverse(X_109)))),
inference(subst,[],[refute_0_4985:[bind(X_127,$fot(inverse(X_109))),bind(X_128,$fot(X_130))]]) ).
cnf(refute_0_4987,plain,
commutator(X_109,X_130) = commutator(X_130,inverse(X_109)),
inference(subst,[],[refute_0_572:[bind(X_110,$fot(X_130))]]) ).
cnf(refute_0_4988,plain,
( commutator(X_109,X_130) != commutator(X_130,inverse(X_109))
| commutator(X_130,inverse(X_109)) = commutator(X_109,X_130) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_109,X_130))),bind(Y0,$fot(commutator(X_130,inverse(X_109))))]]) ).
cnf(refute_0_4989,plain,
commutator(X_130,inverse(X_109)) = commutator(X_109,X_130),
inference(resolve,[$cnf( $equal(commutator(X_109,X_130),commutator(X_130,inverse(X_109))) )],[refute_0_4987,refute_0_4988]) ).
cnf(refute_0_4990,plain,
( commutator(X_130,inverse(X_109)) != commutator(X_109,X_130)
| identity != commutator(multiply(X_130,inverse(X_109)),multiply(X_130,multiply(commutator(X_130,inverse(X_109)),inverse(X_109))))
| identity = commutator(multiply(X_130,inverse(X_109)),multiply(X_130,multiply(commutator(X_109,X_130),inverse(X_109)))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(multiply(X_130,inverse(X_109)),multiply(X_130,multiply(commutator(X_130,inverse(X_109)),inverse(X_109))))) ),[1,1,1,0],$fot(commutator(X_109,X_130))]]) ).
cnf(refute_0_4991,plain,
( identity != commutator(multiply(X_130,inverse(X_109)),multiply(X_130,multiply(commutator(X_130,inverse(X_109)),inverse(X_109))))
| identity = commutator(multiply(X_130,inverse(X_109)),multiply(X_130,multiply(commutator(X_109,X_130),inverse(X_109)))) ),
inference(resolve,[$cnf( $equal(commutator(X_130,inverse(X_109)),commutator(X_109,X_130)) )],[refute_0_4989,refute_0_4990]) ).
cnf(refute_0_4992,plain,
identity = commutator(multiply(X_130,inverse(X_109)),multiply(X_130,multiply(commutator(X_109,X_130),inverse(X_109)))),
inference(resolve,[$cnf( $equal(identity,commutator(multiply(X_130,inverse(X_109)),multiply(X_130,multiply(commutator(X_130,inverse(X_109)),inverse(X_109))))) )],[refute_0_4986,refute_0_4991]) ).
cnf(refute_0_4993,plain,
multiply(commutator(X_109,X_130),inverse(X_109)) = inverse(multiply(X_109,commutator(X_130,X_109))),
inference(subst,[],[refute_0_378:[bind(X_58,$fot(X_109)),bind(X_65,$fot(X_109)),bind(X_66,$fot(X_130))]]) ).
cnf(refute_0_4994,plain,
multiply(X_130,multiply(commutator(X_109,X_130),inverse(X_109))) = multiply(X_130,multiply(commutator(X_109,X_130),inverse(X_109))),
introduced(tautology,[refl,[$fot(multiply(X_130,multiply(commutator(X_109,X_130),inverse(X_109))))]]) ).
cnf(refute_0_4995,plain,
( multiply(X_130,multiply(commutator(X_109,X_130),inverse(X_109))) != multiply(X_130,multiply(commutator(X_109,X_130),inverse(X_109)))
| multiply(commutator(X_109,X_130),inverse(X_109)) != inverse(multiply(X_109,commutator(X_130,X_109)))
| multiply(X_130,multiply(commutator(X_109,X_130),inverse(X_109))) = multiply(X_130,inverse(multiply(X_109,commutator(X_130,X_109)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_130,multiply(commutator(X_109,X_130),inverse(X_109))),multiply(X_130,multiply(commutator(X_109,X_130),inverse(X_109)))) ),[1,1],$fot(inverse(multiply(X_109,commutator(X_130,X_109))))]]) ).
cnf(refute_0_4996,plain,
( multiply(commutator(X_109,X_130),inverse(X_109)) != inverse(multiply(X_109,commutator(X_130,X_109)))
| multiply(X_130,multiply(commutator(X_109,X_130),inverse(X_109))) = multiply(X_130,inverse(multiply(X_109,commutator(X_130,X_109)))) ),
inference(resolve,[$cnf( $equal(multiply(X_130,multiply(commutator(X_109,X_130),inverse(X_109))),multiply(X_130,multiply(commutator(X_109,X_130),inverse(X_109)))) )],[refute_0_4994,refute_0_4995]) ).
cnf(refute_0_4997,plain,
multiply(X_130,multiply(commutator(X_109,X_130),inverse(X_109))) = multiply(X_130,inverse(multiply(X_109,commutator(X_130,X_109)))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_109,X_130),inverse(X_109)),inverse(multiply(X_109,commutator(X_130,X_109)))) )],[refute_0_4993,refute_0_4996]) ).
cnf(refute_0_4998,plain,
commutator(multiply(X_130,inverse(X_109)),multiply(X_130,multiply(commutator(X_109,X_130),inverse(X_109)))) = commutator(multiply(X_130,inverse(X_109)),multiply(X_130,multiply(commutator(X_109,X_130),inverse(X_109)))),
introduced(tautology,[refl,[$fot(commutator(multiply(X_130,inverse(X_109)),multiply(X_130,multiply(commutator(X_109,X_130),inverse(X_109)))))]]) ).
cnf(refute_0_4999,plain,
( multiply(X_130,multiply(commutator(X_109,X_130),inverse(X_109))) != multiply(X_130,inverse(multiply(X_109,commutator(X_130,X_109))))
| commutator(multiply(X_130,inverse(X_109)),multiply(X_130,multiply(commutator(X_109,X_130),inverse(X_109)))) != commutator(multiply(X_130,inverse(X_109)),multiply(X_130,multiply(commutator(X_109,X_130),inverse(X_109))))
| commutator(multiply(X_130,inverse(X_109)),multiply(X_130,multiply(commutator(X_109,X_130),inverse(X_109)))) = commutator(multiply(X_130,inverse(X_109)),multiply(X_130,inverse(multiply(X_109,commutator(X_130,X_109))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_130,inverse(X_109)),multiply(X_130,multiply(commutator(X_109,X_130),inverse(X_109)))),commutator(multiply(X_130,inverse(X_109)),multiply(X_130,multiply(commutator(X_109,X_130),inverse(X_109))))) ),[1,1],$fot(multiply(X_130,inverse(multiply(X_109,commutator(X_130,X_109)))))]]) ).
cnf(refute_0_5000,plain,
( multiply(X_130,multiply(commutator(X_109,X_130),inverse(X_109))) != multiply(X_130,inverse(multiply(X_109,commutator(X_130,X_109))))
| commutator(multiply(X_130,inverse(X_109)),multiply(X_130,multiply(commutator(X_109,X_130),inverse(X_109)))) = commutator(multiply(X_130,inverse(X_109)),multiply(X_130,inverse(multiply(X_109,commutator(X_130,X_109))))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_130,inverse(X_109)),multiply(X_130,multiply(commutator(X_109,X_130),inverse(X_109)))),commutator(multiply(X_130,inverse(X_109)),multiply(X_130,multiply(commutator(X_109,X_130),inverse(X_109))))) )],[refute_0_4998,refute_0_4999]) ).
cnf(refute_0_5001,plain,
commutator(multiply(X_130,inverse(X_109)),multiply(X_130,multiply(commutator(X_109,X_130),inverse(X_109)))) = commutator(multiply(X_130,inverse(X_109)),multiply(X_130,inverse(multiply(X_109,commutator(X_130,X_109))))),
inference(resolve,[$cnf( $equal(multiply(X_130,multiply(commutator(X_109,X_130),inverse(X_109))),multiply(X_130,inverse(multiply(X_109,commutator(X_130,X_109))))) )],[refute_0_4997,refute_0_5000]) ).
cnf(refute_0_5002,plain,
( commutator(multiply(X_130,inverse(X_109)),multiply(X_130,multiply(commutator(X_109,X_130),inverse(X_109)))) != commutator(multiply(X_130,inverse(X_109)),multiply(X_130,inverse(multiply(X_109,commutator(X_130,X_109)))))
| identity != commutator(multiply(X_130,inverse(X_109)),multiply(X_130,multiply(commutator(X_109,X_130),inverse(X_109))))
| identity = commutator(multiply(X_130,inverse(X_109)),multiply(X_130,inverse(multiply(X_109,commutator(X_130,X_109))))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(multiply(X_130,inverse(X_109)),multiply(X_130,multiply(commutator(X_109,X_130),inverse(X_109))))) ),[1],$fot(commutator(multiply(X_130,inverse(X_109)),multiply(X_130,inverse(multiply(X_109,commutator(X_130,X_109))))))]]) ).
cnf(refute_0_5003,plain,
( identity != commutator(multiply(X_130,inverse(X_109)),multiply(X_130,multiply(commutator(X_109,X_130),inverse(X_109))))
| identity = commutator(multiply(X_130,inverse(X_109)),multiply(X_130,inverse(multiply(X_109,commutator(X_130,X_109))))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_130,inverse(X_109)),multiply(X_130,multiply(commutator(X_109,X_130),inverse(X_109)))),commutator(multiply(X_130,inverse(X_109)),multiply(X_130,inverse(multiply(X_109,commutator(X_130,X_109)))))) )],[refute_0_5001,refute_0_5002]) ).
cnf(refute_0_5004,plain,
identity = commutator(multiply(X_130,inverse(X_109)),multiply(X_130,inverse(multiply(X_109,commutator(X_130,X_109))))),
inference(resolve,[$cnf( $equal(identity,commutator(multiply(X_130,inverse(X_109)),multiply(X_130,multiply(commutator(X_109,X_130),inverse(X_109))))) )],[refute_0_4992,refute_0_5003]) ).
cnf(refute_0_5005,plain,
identity = commutator(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),
inference(subst,[],[refute_0_5004:[bind(X_109,$fot(X_210)),bind(X_130,$fot(X_211))]]) ).
cnf(refute_0_5006,plain,
( identity != commutator(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))
| commutator(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))) = identity ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(identity)),bind(Y0,$fot(commutator(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))]]) ).
cnf(refute_0_5007,plain,
commutator(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))) = identity,
inference(resolve,[$cnf( $equal(identity,commutator(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))) )],[refute_0_5005,refute_0_5006]) ).
cnf(refute_0_5008,plain,
( multiply(commutator(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),multiply(multiply(X_211,inverse(X_210)),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))) != inverse(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))
| commutator(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))) != identity
| multiply(identity,multiply(multiply(X_211,inverse(X_210)),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))) = inverse(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),multiply(multiply(X_211,inverse(X_210)),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))),inverse(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_5009,plain,
( multiply(commutator(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),multiply(multiply(X_211,inverse(X_210)),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))) != inverse(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))
| multiply(identity,multiply(multiply(X_211,inverse(X_210)),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))) = inverse(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),identity) )],[refute_0_5007,refute_0_5008]) ).
cnf(refute_0_5010,plain,
multiply(identity,multiply(multiply(X_211,inverse(X_210)),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))) = inverse(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),multiply(multiply(X_211,inverse(X_210)),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))),inverse(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))) )],[refute_0_4957,refute_0_5009]) ).
cnf(refute_0_5011,plain,
inverse(multiply(X_211,multiply(X_211,inverse(X_210)))) = multiply(X_210,inverse(multiply(X_211,X_211))),
inference(subst,[],[refute_0_860:[bind(X_58,$fot(X_211)),bind(X_89,$fot(X_210)),bind(X_90,$fot(X_211))]]) ).
cnf(refute_0_5012,plain,
multiply(inverse(X_210),multiply(X_211,commutator(X_210,X_211))) = multiply(X_211,inverse(X_210)),
inference(subst,[],[refute_0_4515:[bind(X_149,$fot(X_210)),bind(X_150,$fot(X_211))]]) ).
cnf(refute_0_5013,plain,
inverse(commutator(X_211,X_210)) = commutator(X_210,X_211),
inference(subst,[],[refute_0_386:[bind(X,$fot(X_210)),bind(Y,$fot(X_211))]]) ).
cnf(refute_0_5014,plain,
multiply(inverse(multiply(X_210,commutator(X_211,X_210))),X_210) = inverse(commutator(X_211,X_210)),
inference(subst,[],[refute_0_208:[bind(X_10,$fot(commutator(X_211,X_210))),bind(X_58,$fot(X_210))]]) ).
cnf(refute_0_5015,plain,
( multiply(inverse(multiply(X_210,commutator(X_211,X_210))),X_210) != inverse(commutator(X_211,X_210))
| inverse(commutator(X_211,X_210)) != commutator(X_210,X_211)
| multiply(inverse(multiply(X_210,commutator(X_211,X_210))),X_210) = commutator(X_210,X_211) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_210,commutator(X_211,X_210))),X_210))),bind(Y0,$fot(inverse(commutator(X_211,X_210)))),bind(Z0,$fot(commutator(X_210,X_211)))]]) ).
cnf(refute_0_5016,plain,
( inverse(commutator(X_211,X_210)) != commutator(X_210,X_211)
| multiply(inverse(multiply(X_210,commutator(X_211,X_210))),X_210) = commutator(X_210,X_211) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_210,commutator(X_211,X_210))),X_210),inverse(commutator(X_211,X_210))) )],[refute_0_5014,refute_0_5015]) ).
cnf(refute_0_5017,plain,
multiply(inverse(multiply(X_210,commutator(X_211,X_210))),X_210) = commutator(X_210,X_211),
inference(resolve,[$cnf( $equal(inverse(commutator(X_211,X_210)),commutator(X_210,X_211)) )],[refute_0_5013,refute_0_5016]) ).
cnf(refute_0_5018,plain,
multiply(X_211,multiply(inverse(multiply(X_210,commutator(X_211,X_210))),X_210)) = multiply(X_211,multiply(inverse(multiply(X_210,commutator(X_211,X_210))),X_210)),
introduced(tautology,[refl,[$fot(multiply(X_211,multiply(inverse(multiply(X_210,commutator(X_211,X_210))),X_210)))]]) ).
cnf(refute_0_5019,plain,
( multiply(X_211,multiply(inverse(multiply(X_210,commutator(X_211,X_210))),X_210)) != multiply(X_211,multiply(inverse(multiply(X_210,commutator(X_211,X_210))),X_210))
| multiply(inverse(multiply(X_210,commutator(X_211,X_210))),X_210) != commutator(X_210,X_211)
| multiply(X_211,multiply(inverse(multiply(X_210,commutator(X_211,X_210))),X_210)) = multiply(X_211,commutator(X_210,X_211)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_211,multiply(inverse(multiply(X_210,commutator(X_211,X_210))),X_210)),multiply(X_211,multiply(inverse(multiply(X_210,commutator(X_211,X_210))),X_210))) ),[1,1],$fot(commutator(X_210,X_211))]]) ).
cnf(refute_0_5020,plain,
( multiply(inverse(multiply(X_210,commutator(X_211,X_210))),X_210) != commutator(X_210,X_211)
| multiply(X_211,multiply(inverse(multiply(X_210,commutator(X_211,X_210))),X_210)) = multiply(X_211,commutator(X_210,X_211)) ),
inference(resolve,[$cnf( $equal(multiply(X_211,multiply(inverse(multiply(X_210,commutator(X_211,X_210))),X_210)),multiply(X_211,multiply(inverse(multiply(X_210,commutator(X_211,X_210))),X_210))) )],[refute_0_5018,refute_0_5019]) ).
cnf(refute_0_5021,plain,
multiply(X_211,multiply(inverse(multiply(X_210,commutator(X_211,X_210))),X_210)) = multiply(X_211,commutator(X_210,X_211)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_210,commutator(X_211,X_210))),X_210),commutator(X_210,X_211)) )],[refute_0_5017,refute_0_5020]) ).
cnf(refute_0_5022,plain,
multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210) = multiply(X_211,multiply(inverse(multiply(X_210,commutator(X_211,X_210))),X_210)),
inference(subst,[],[associativity:[bind(X,$fot(X_211)),bind(Y,$fot(inverse(multiply(X_210,commutator(X_211,X_210))))),bind(Z,$fot(X_210))]]) ).
cnf(refute_0_5023,plain,
( multiply(X_211,multiply(inverse(multiply(X_210,commutator(X_211,X_210))),X_210)) != multiply(X_211,commutator(X_210,X_211))
| multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210) != multiply(X_211,multiply(inverse(multiply(X_210,commutator(X_211,X_210))),X_210))
| multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210) = multiply(X_211,commutator(X_210,X_211)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210))),bind(Y0,$fot(multiply(X_211,multiply(inverse(multiply(X_210,commutator(X_211,X_210))),X_210)))),bind(Z0,$fot(multiply(X_211,commutator(X_210,X_211))))]]) ).
cnf(refute_0_5024,plain,
( multiply(X_211,multiply(inverse(multiply(X_210,commutator(X_211,X_210))),X_210)) != multiply(X_211,commutator(X_210,X_211))
| multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210) = multiply(X_211,commutator(X_210,X_211)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210),multiply(X_211,multiply(inverse(multiply(X_210,commutator(X_211,X_210))),X_210))) )],[refute_0_5022,refute_0_5023]) ).
cnf(refute_0_5025,plain,
multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210) = multiply(X_211,commutator(X_210,X_211)),
inference(resolve,[$cnf( $equal(multiply(X_211,multiply(inverse(multiply(X_210,commutator(X_211,X_210))),X_210)),multiply(X_211,commutator(X_210,X_211))) )],[refute_0_5021,refute_0_5024]) ).
cnf(refute_0_5026,plain,
multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210)) = multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210)),
introduced(tautology,[refl,[$fot(multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210)))]]) ).
cnf(refute_0_5027,plain,
( multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210) != multiply(X_211,commutator(X_210,X_211))
| multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210)) != multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210))
| multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210)) = multiply(inverse(X_210),multiply(X_211,commutator(X_210,X_211))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210)),multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210))) ),[1,1],$fot(multiply(X_211,commutator(X_210,X_211)))]]) ).
cnf(refute_0_5028,plain,
( multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210) != multiply(X_211,commutator(X_210,X_211))
| multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210)) = multiply(inverse(X_210),multiply(X_211,commutator(X_210,X_211))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210)),multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210))) )],[refute_0_5026,refute_0_5027]) ).
cnf(refute_0_5029,plain,
multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210)) = multiply(inverse(X_210),multiply(X_211,commutator(X_210,X_211))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210),multiply(X_211,commutator(X_210,X_211))) )],[refute_0_5025,refute_0_5028]) ).
cnf(refute_0_5030,plain,
( multiply(inverse(X_210),multiply(X_211,commutator(X_210,X_211))) != multiply(X_211,inverse(X_210))
| multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210)) != multiply(inverse(X_210),multiply(X_211,commutator(X_210,X_211)))
| multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210)) = multiply(X_211,inverse(X_210)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210)))),bind(Y0,$fot(multiply(inverse(X_210),multiply(X_211,commutator(X_210,X_211))))),bind(Z0,$fot(multiply(X_211,inverse(X_210))))]]) ).
cnf(refute_0_5031,plain,
( multiply(inverse(X_210),multiply(X_211,commutator(X_210,X_211))) != multiply(X_211,inverse(X_210))
| multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210)) = multiply(X_211,inverse(X_210)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210)),multiply(inverse(X_210),multiply(X_211,commutator(X_210,X_211)))) )],[refute_0_5029,refute_0_5030]) ).
cnf(refute_0_5032,plain,
multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210)) = multiply(X_211,inverse(X_210)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_210),multiply(X_211,commutator(X_210,X_211))),multiply(X_211,inverse(X_210))) )],[refute_0_5012,refute_0_5031]) ).
cnf(refute_0_5033,plain,
multiply(X_211,multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210))) = multiply(X_211,multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210))),
introduced(tautology,[refl,[$fot(multiply(X_211,multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210))))]]) ).
cnf(refute_0_5034,plain,
( multiply(X_211,multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210))) != multiply(X_211,multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210)))
| multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210)) != multiply(X_211,inverse(X_210))
| multiply(X_211,multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210))) = multiply(X_211,multiply(X_211,inverse(X_210))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_211,multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210))),multiply(X_211,multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210)))) ),[1,1],$fot(multiply(X_211,inverse(X_210)))]]) ).
cnf(refute_0_5035,plain,
( multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210)) != multiply(X_211,inverse(X_210))
| multiply(X_211,multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210))) = multiply(X_211,multiply(X_211,inverse(X_210))) ),
inference(resolve,[$cnf( $equal(multiply(X_211,multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210))),multiply(X_211,multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210)))) )],[refute_0_5033,refute_0_5034]) ).
cnf(refute_0_5036,plain,
multiply(X_211,multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210))) = multiply(X_211,multiply(X_211,inverse(X_210))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210)),multiply(X_211,inverse(X_210))) )],[refute_0_5032,refute_0_5035]) ).
cnf(refute_0_5037,plain,
multiply(multiply(X_211,inverse(X_210)),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210)) = multiply(X_211,multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210))),
inference(subst,[],[associativity:[bind(X,$fot(X_211)),bind(Y,$fot(inverse(X_210))),bind(Z,$fot(multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210)))]]) ).
cnf(refute_0_5038,plain,
multiply(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),X_210) = multiply(multiply(X_211,inverse(X_210)),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210)),
inference(subst,[],[associativity:[bind(X,$fot(multiply(X_211,inverse(X_210)))),bind(Y,$fot(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))),bind(Z,$fot(X_210))]]) ).
cnf(refute_0_5039,plain,
( multiply(multiply(X_211,inverse(X_210)),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210)) != multiply(X_211,multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210)))
| multiply(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),X_210) != multiply(multiply(X_211,inverse(X_210)),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210))
| multiply(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),X_210) = multiply(X_211,multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),X_210))),bind(Y0,$fot(multiply(multiply(X_211,inverse(X_210)),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210)))),bind(Z0,$fot(multiply(X_211,multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210)))))]]) ).
cnf(refute_0_5040,plain,
( multiply(multiply(X_211,inverse(X_210)),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210)) != multiply(X_211,multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210)))
| multiply(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),X_210) = multiply(X_211,multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),X_210),multiply(multiply(X_211,inverse(X_210)),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210))) )],[refute_0_5038,refute_0_5039]) ).
cnf(refute_0_5041,plain,
multiply(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),X_210) = multiply(X_211,multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_211,inverse(X_210)),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210)),multiply(X_211,multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210)))) )],[refute_0_5037,refute_0_5040]) ).
cnf(refute_0_5042,plain,
( multiply(X_211,multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210))) != multiply(X_211,multiply(X_211,inverse(X_210)))
| multiply(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),X_210) != multiply(X_211,multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210)))
| multiply(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),X_210) = multiply(X_211,multiply(X_211,inverse(X_210))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),X_210))),bind(Y0,$fot(multiply(X_211,multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210))))),bind(Z0,$fot(multiply(X_211,multiply(X_211,inverse(X_210)))))]]) ).
cnf(refute_0_5043,plain,
( multiply(X_211,multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210))) != multiply(X_211,multiply(X_211,inverse(X_210)))
| multiply(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),X_210) = multiply(X_211,multiply(X_211,inverse(X_210))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),X_210),multiply(X_211,multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210)))) )],[refute_0_5041,refute_0_5042]) ).
cnf(refute_0_5044,plain,
multiply(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),X_210) = multiply(X_211,multiply(X_211,inverse(X_210))),
inference(resolve,[$cnf( $equal(multiply(X_211,multiply(inverse(X_210),multiply(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))),X_210))),multiply(X_211,multiply(X_211,inverse(X_210)))) )],[refute_0_5036,refute_0_5043]) ).
cnf(refute_0_5045,plain,
inverse(multiply(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),X_210)) = inverse(multiply(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),X_210)),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),X_210)))]]) ).
cnf(refute_0_5046,plain,
( multiply(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),X_210) != multiply(X_211,multiply(X_211,inverse(X_210)))
| inverse(multiply(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),X_210)) != inverse(multiply(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),X_210))
| inverse(multiply(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),X_210)) = inverse(multiply(X_211,multiply(X_211,inverse(X_210)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),X_210)),inverse(multiply(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),X_210))) ),[1,0],$fot(multiply(X_211,multiply(X_211,inverse(X_210))))]]) ).
cnf(refute_0_5047,plain,
( multiply(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),X_210) != multiply(X_211,multiply(X_211,inverse(X_210)))
| inverse(multiply(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),X_210)) = inverse(multiply(X_211,multiply(X_211,inverse(X_210)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),X_210)),inverse(multiply(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),X_210))) )],[refute_0_5045,refute_0_5046]) ).
cnf(refute_0_5048,plain,
inverse(multiply(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),X_210)) = inverse(multiply(X_211,multiply(X_211,inverse(X_210)))),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),X_210),multiply(X_211,multiply(X_211,inverse(X_210)))) )],[refute_0_5044,refute_0_5047]) ).
cnf(refute_0_5049,plain,
( inverse(multiply(X_211,multiply(X_211,inverse(X_210)))) != multiply(X_210,inverse(multiply(X_211,X_211)))
| inverse(multiply(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),X_210)) != inverse(multiply(X_211,multiply(X_211,inverse(X_210))))
| inverse(multiply(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),X_210)) = multiply(X_210,inverse(multiply(X_211,X_211))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),X_210)))),bind(Y0,$fot(inverse(multiply(X_211,multiply(X_211,inverse(X_210)))))),bind(Z0,$fot(multiply(X_210,inverse(multiply(X_211,X_211)))))]]) ).
cnf(refute_0_5050,plain,
( inverse(multiply(X_211,multiply(X_211,inverse(X_210)))) != multiply(X_210,inverse(multiply(X_211,X_211)))
| inverse(multiply(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),X_210)) = multiply(X_210,inverse(multiply(X_211,X_211))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),X_210)),inverse(multiply(X_211,multiply(X_211,inverse(X_210))))) )],[refute_0_5048,refute_0_5049]) ).
cnf(refute_0_5051,plain,
inverse(multiply(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),X_210)) = multiply(X_210,inverse(multiply(X_211,X_211))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_211,multiply(X_211,inverse(X_210)))),multiply(X_210,inverse(multiply(X_211,X_211)))) )],[refute_0_5011,refute_0_5050]) ).
cnf(refute_0_5052,plain,
multiply(inverse(X_210),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))))) = inverse(multiply(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),X_210)),
inference(subst,[],[refute_0_257:[bind(X_10,$fot(X_210)),bind(X_58,$fot(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))]]) ).
cnf(refute_0_5053,plain,
( multiply(inverse(X_210),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))))) != inverse(multiply(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),X_210))
| inverse(multiply(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),X_210)) != multiply(X_210,inverse(multiply(X_211,X_211)))
| multiply(inverse(X_210),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))))) = multiply(X_210,inverse(multiply(X_211,X_211))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(X_210),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))))))),bind(Y0,$fot(inverse(multiply(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),X_210)))),bind(Z0,$fot(multiply(X_210,inverse(multiply(X_211,X_211)))))]]) ).
cnf(refute_0_5054,plain,
( inverse(multiply(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),X_210)) != multiply(X_210,inverse(multiply(X_211,X_211)))
| multiply(inverse(X_210),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))))) = multiply(X_210,inverse(multiply(X_211,X_211))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_210),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))))),inverse(multiply(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),X_210))) )],[refute_0_5052,refute_0_5053]) ).
cnf(refute_0_5055,plain,
multiply(inverse(X_210),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))))) = multiply(X_210,inverse(multiply(X_211,X_211))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),X_210)),multiply(X_210,inverse(multiply(X_211,X_211)))) )],[refute_0_5051,refute_0_5054]) ).
cnf(refute_0_5056,plain,
multiply(X_211,multiply(inverse(X_210),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))) = multiply(X_211,multiply(inverse(X_210),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))),
introduced(tautology,[refl,[$fot(multiply(X_211,multiply(inverse(X_210),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))))]]) ).
cnf(refute_0_5057,plain,
( multiply(X_211,multiply(inverse(X_210),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))) != multiply(X_211,multiply(inverse(X_210),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))))))
| multiply(inverse(X_210),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))))) != multiply(X_210,inverse(multiply(X_211,X_211)))
| multiply(X_211,multiply(inverse(X_210),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))) = multiply(X_211,multiply(X_210,inverse(multiply(X_211,X_211)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_211,multiply(inverse(X_210),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))),multiply(X_211,multiply(inverse(X_210),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))))))) ),[1,1],$fot(multiply(X_210,inverse(multiply(X_211,X_211))))]]) ).
cnf(refute_0_5058,plain,
( multiply(inverse(X_210),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))))) != multiply(X_210,inverse(multiply(X_211,X_211)))
| multiply(X_211,multiply(inverse(X_210),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))) = multiply(X_211,multiply(X_210,inverse(multiply(X_211,X_211)))) ),
inference(resolve,[$cnf( $equal(multiply(X_211,multiply(inverse(X_210),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))),multiply(X_211,multiply(inverse(X_210),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))))))) )],[refute_0_5056,refute_0_5057]) ).
cnf(refute_0_5059,plain,
multiply(X_211,multiply(inverse(X_210),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))) = multiply(X_211,multiply(X_210,inverse(multiply(X_211,X_211)))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_210),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))))),multiply(X_210,inverse(multiply(X_211,X_211)))) )],[refute_0_5055,refute_0_5058]) ).
cnf(refute_0_5060,plain,
multiply(multiply(X_211,inverse(X_210)),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))))) = multiply(X_211,multiply(inverse(X_210),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))),
inference(subst,[],[associativity:[bind(X,$fot(X_211)),bind(Y,$fot(inverse(X_210))),bind(Z,$fot(inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))))))]]) ).
cnf(refute_0_5061,plain,
multiply(identity,multiply(multiply(X_211,inverse(X_210)),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))) = multiply(multiply(X_211,inverse(X_210)),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))))),
inference(subst,[],[left_identity:[bind(X,$fot(multiply(multiply(X_211,inverse(X_210)),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))))]]) ).
cnf(refute_0_5062,plain,
( multiply(multiply(X_211,inverse(X_210)),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))))) != multiply(X_211,multiply(inverse(X_210),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))))))
| multiply(identity,multiply(multiply(X_211,inverse(X_210)),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))) != multiply(multiply(X_211,inverse(X_210)),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))
| multiply(identity,multiply(multiply(X_211,inverse(X_210)),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))) = multiply(X_211,multiply(inverse(X_210),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(identity,multiply(multiply(X_211,inverse(X_210)),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))))),bind(Y0,$fot(multiply(multiply(X_211,inverse(X_210)),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))))))),bind(Z0,$fot(multiply(X_211,multiply(inverse(X_210),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))))))))]]) ).
cnf(refute_0_5063,plain,
( multiply(multiply(X_211,inverse(X_210)),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))))) != multiply(X_211,multiply(inverse(X_210),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))))))
| multiply(identity,multiply(multiply(X_211,inverse(X_210)),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))) = multiply(X_211,multiply(inverse(X_210),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))) ),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(multiply(X_211,inverse(X_210)),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))),multiply(multiply(X_211,inverse(X_210)),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))) )],[refute_0_5061,refute_0_5062]) ).
cnf(refute_0_5064,plain,
multiply(identity,multiply(multiply(X_211,inverse(X_210)),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))) = multiply(X_211,multiply(inverse(X_210),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_211,inverse(X_210)),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))))),multiply(X_211,multiply(inverse(X_210),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))))))) )],[refute_0_5060,refute_0_5063]) ).
cnf(refute_0_5065,plain,
( multiply(X_211,multiply(inverse(X_210),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))) != multiply(X_211,multiply(X_210,inverse(multiply(X_211,X_211))))
| multiply(identity,multiply(multiply(X_211,inverse(X_210)),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))) != multiply(X_211,multiply(inverse(X_210),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))))))
| multiply(identity,multiply(multiply(X_211,inverse(X_210)),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))) = multiply(X_211,multiply(X_210,inverse(multiply(X_211,X_211)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(identity,multiply(multiply(X_211,inverse(X_210)),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))))),bind(Y0,$fot(multiply(X_211,multiply(inverse(X_210),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))))),bind(Z0,$fot(multiply(X_211,multiply(X_210,inverse(multiply(X_211,X_211))))))]]) ).
cnf(refute_0_5066,plain,
( multiply(X_211,multiply(inverse(X_210),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))) != multiply(X_211,multiply(X_210,inverse(multiply(X_211,X_211))))
| multiply(identity,multiply(multiply(X_211,inverse(X_210)),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))) = multiply(X_211,multiply(X_210,inverse(multiply(X_211,X_211)))) ),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(multiply(X_211,inverse(X_210)),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))),multiply(X_211,multiply(inverse(X_210),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))))))) )],[refute_0_5064,refute_0_5065]) ).
cnf(refute_0_5067,plain,
multiply(identity,multiply(multiply(X_211,inverse(X_210)),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))) = multiply(X_211,multiply(X_210,inverse(multiply(X_211,X_211)))),
inference(resolve,[$cnf( $equal(multiply(X_211,multiply(inverse(X_210),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))),multiply(X_211,multiply(X_210,inverse(multiply(X_211,X_211))))) )],[refute_0_5059,refute_0_5066]) ).
cnf(refute_0_5068,plain,
( multiply(identity,multiply(multiply(X_211,inverse(X_210)),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))) != multiply(X_211,multiply(X_210,inverse(multiply(X_211,X_211))))
| multiply(identity,multiply(multiply(X_211,inverse(X_210)),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))) != inverse(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))
| multiply(X_211,multiply(X_210,inverse(multiply(X_211,X_211)))) = inverse(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,multiply(multiply(X_211,inverse(X_210)),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))),inverse(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))) ),[0],$fot(multiply(X_211,multiply(X_210,inverse(multiply(X_211,X_211)))))]]) ).
cnf(refute_0_5069,plain,
( multiply(identity,multiply(multiply(X_211,inverse(X_210)),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))) != inverse(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))
| multiply(X_211,multiply(X_210,inverse(multiply(X_211,X_211)))) = inverse(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))) ),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(multiply(X_211,inverse(X_210)),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))),multiply(X_211,multiply(X_210,inverse(multiply(X_211,X_211))))) )],[refute_0_5067,refute_0_5068]) ).
cnf(refute_0_5070,plain,
multiply(commutator(X_211,X_210),inverse(X_211)) = inverse(multiply(X_211,commutator(X_210,X_211))),
inference(subst,[],[refute_0_378:[bind(X_58,$fot(X_211)),bind(X_65,$fot(X_211)),bind(X_66,$fot(X_210))]]) ).
cnf(refute_0_5071,plain,
multiply(X_210,multiply(commutator(X_211,X_210),inverse(X_211))) = multiply(X_210,multiply(commutator(X_211,X_210),inverse(X_211))),
introduced(tautology,[refl,[$fot(multiply(X_210,multiply(commutator(X_211,X_210),inverse(X_211))))]]) ).
cnf(refute_0_5072,plain,
( multiply(X_210,multiply(commutator(X_211,X_210),inverse(X_211))) != multiply(X_210,multiply(commutator(X_211,X_210),inverse(X_211)))
| multiply(commutator(X_211,X_210),inverse(X_211)) != inverse(multiply(X_211,commutator(X_210,X_211)))
| multiply(X_210,multiply(commutator(X_211,X_210),inverse(X_211))) = multiply(X_210,inverse(multiply(X_211,commutator(X_210,X_211)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_210,multiply(commutator(X_211,X_210),inverse(X_211))),multiply(X_210,multiply(commutator(X_211,X_210),inverse(X_211)))) ),[1,1],$fot(inverse(multiply(X_211,commutator(X_210,X_211))))]]) ).
cnf(refute_0_5073,plain,
( multiply(commutator(X_211,X_210),inverse(X_211)) != inverse(multiply(X_211,commutator(X_210,X_211)))
| multiply(X_210,multiply(commutator(X_211,X_210),inverse(X_211))) = multiply(X_210,inverse(multiply(X_211,commutator(X_210,X_211)))) ),
inference(resolve,[$cnf( $equal(multiply(X_210,multiply(commutator(X_211,X_210),inverse(X_211))),multiply(X_210,multiply(commutator(X_211,X_210),inverse(X_211)))) )],[refute_0_5071,refute_0_5072]) ).
cnf(refute_0_5074,plain,
multiply(X_210,multiply(commutator(X_211,X_210),inverse(X_211))) = multiply(X_210,inverse(multiply(X_211,commutator(X_210,X_211)))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_211,X_210),inverse(X_211)),inverse(multiply(X_211,commutator(X_210,X_211)))) )],[refute_0_5070,refute_0_5073]) ).
cnf(refute_0_5075,plain,
multiply(multiply(X_210,commutator(X_211,X_210)),inverse(X_211)) = multiply(X_210,multiply(commutator(X_211,X_210),inverse(X_211))),
inference(subst,[],[associativity:[bind(X,$fot(X_210)),bind(Y,$fot(commutator(X_211,X_210))),bind(Z,$fot(inverse(X_211)))]]) ).
cnf(refute_0_5076,plain,
inverse(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))) = multiply(multiply(X_210,commutator(X_211,X_210)),inverse(X_211)),
inference(subst,[],[refute_0_180:[bind(X,$fot(multiply(X_210,commutator(X_211,X_210)))),bind(X_58,$fot(X_211))]]) ).
cnf(refute_0_5077,plain,
( multiply(multiply(X_210,commutator(X_211,X_210)),inverse(X_211)) != multiply(X_210,multiply(commutator(X_211,X_210),inverse(X_211)))
| inverse(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))) != multiply(multiply(X_210,commutator(X_211,X_210)),inverse(X_211))
| inverse(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))) = multiply(X_210,multiply(commutator(X_211,X_210),inverse(X_211))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))))),bind(Y0,$fot(multiply(multiply(X_210,commutator(X_211,X_210)),inverse(X_211)))),bind(Z0,$fot(multiply(X_210,multiply(commutator(X_211,X_210),inverse(X_211)))))]]) ).
cnf(refute_0_5078,plain,
( multiply(multiply(X_210,commutator(X_211,X_210)),inverse(X_211)) != multiply(X_210,multiply(commutator(X_211,X_210),inverse(X_211)))
| inverse(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))) = multiply(X_210,multiply(commutator(X_211,X_210),inverse(X_211))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),multiply(multiply(X_210,commutator(X_211,X_210)),inverse(X_211))) )],[refute_0_5076,refute_0_5077]) ).
cnf(refute_0_5079,plain,
inverse(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))) = multiply(X_210,multiply(commutator(X_211,X_210),inverse(X_211))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_210,commutator(X_211,X_210)),inverse(X_211)),multiply(X_210,multiply(commutator(X_211,X_210),inverse(X_211)))) )],[refute_0_5075,refute_0_5078]) ).
cnf(refute_0_5080,plain,
( multiply(X_210,multiply(commutator(X_211,X_210),inverse(X_211))) != multiply(X_210,inverse(multiply(X_211,commutator(X_210,X_211))))
| inverse(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))) != multiply(X_210,multiply(commutator(X_211,X_210),inverse(X_211)))
| inverse(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))) = multiply(X_210,inverse(multiply(X_211,commutator(X_210,X_211)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))))),bind(Y0,$fot(multiply(X_210,multiply(commutator(X_211,X_210),inverse(X_211))))),bind(Z0,$fot(multiply(X_210,inverse(multiply(X_211,commutator(X_210,X_211))))))]]) ).
cnf(refute_0_5081,plain,
( multiply(X_210,multiply(commutator(X_211,X_210),inverse(X_211))) != multiply(X_210,inverse(multiply(X_211,commutator(X_210,X_211))))
| inverse(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))) = multiply(X_210,inverse(multiply(X_211,commutator(X_210,X_211)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),multiply(X_210,multiply(commutator(X_211,X_210),inverse(X_211)))) )],[refute_0_5079,refute_0_5080]) ).
cnf(refute_0_5082,plain,
inverse(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))) = multiply(X_210,inverse(multiply(X_211,commutator(X_210,X_211)))),
inference(resolve,[$cnf( $equal(multiply(X_210,multiply(commutator(X_211,X_210),inverse(X_211))),multiply(X_210,inverse(multiply(X_211,commutator(X_210,X_211))))) )],[refute_0_5074,refute_0_5081]) ).
cnf(refute_0_5083,plain,
( multiply(X_211,multiply(X_210,inverse(multiply(X_211,X_211)))) != inverse(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))
| inverse(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))) != multiply(X_210,inverse(multiply(X_211,commutator(X_210,X_211))))
| multiply(X_211,multiply(X_210,inverse(multiply(X_211,X_211)))) = multiply(X_210,inverse(multiply(X_211,commutator(X_210,X_211)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_211,multiply(X_210,inverse(multiply(X_211,X_211)))),multiply(X_210,inverse(multiply(X_211,commutator(X_210,X_211))))) ),[0],$fot(inverse(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))))]]) ).
cnf(refute_0_5084,plain,
( multiply(X_211,multiply(X_210,inverse(multiply(X_211,X_211)))) != inverse(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))
| multiply(X_211,multiply(X_210,inverse(multiply(X_211,X_211)))) = multiply(X_210,inverse(multiply(X_211,commutator(X_210,X_211)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210))))),multiply(X_210,inverse(multiply(X_211,commutator(X_210,X_211))))) )],[refute_0_5082,refute_0_5083]) ).
cnf(refute_0_5085,plain,
( multiply(identity,multiply(multiply(X_211,inverse(X_210)),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))) != inverse(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))
| multiply(X_211,multiply(X_210,inverse(multiply(X_211,X_211)))) = multiply(X_210,inverse(multiply(X_211,commutator(X_210,X_211)))) ),
inference(resolve,[$cnf( $equal(multiply(X_211,multiply(X_210,inverse(multiply(X_211,X_211)))),inverse(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))) )],[refute_0_5069,refute_0_5084]) ).
cnf(refute_0_5086,plain,
multiply(X_211,multiply(X_210,inverse(multiply(X_211,X_211)))) = multiply(X_210,inverse(multiply(X_211,commutator(X_210,X_211)))),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(multiply(X_211,inverse(X_210)),inverse(multiply(multiply(X_211,inverse(X_210)),multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))))),inverse(multiply(X_211,inverse(multiply(X_210,commutator(X_211,X_210)))))) )],[refute_0_5010,refute_0_5085]) ).
cnf(refute_0_5087,plain,
multiply(commutator(X_65,X_66),multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66))))) = multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66))))),
inference(subst,[],[refute_0_5086:[bind(X_210,$fot(X_612)),bind(X_211,$fot(commutator(X_65,X_66)))]]) ).
cnf(refute_0_5088,plain,
( multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66)))) != multiply(commutator(X_66,X_65),multiply(commutator(X_65,X_66),multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66))))))
| multiply(commutator(X_65,X_66),multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66))))) != multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66)))))
| multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66)))) = multiply(commutator(X_66,X_65),multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66)))),multiply(commutator(X_66,X_65),multiply(commutator(X_65,X_66),multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66))))))) ),[1,1],$fot(multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66))))))]]) ).
cnf(refute_0_5089,plain,
( multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66)))) != multiply(commutator(X_66,X_65),multiply(commutator(X_65,X_66),multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66))))))
| multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66)))) = multiply(commutator(X_66,X_65),multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66)))))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_65,X_66),multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66))))),multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66)))))) )],[refute_0_5087,refute_0_5088]) ).
cnf(refute_0_5090,plain,
multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66)))) = multiply(commutator(X_66,X_65),multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66)))))),
inference(resolve,[$cnf( $equal(multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66)))),multiply(commutator(X_66,X_65),multiply(commutator(X_65,X_66),multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66))))))) )],[refute_0_4956,refute_0_5089]) ).
cnf(refute_0_5091,plain,
multiply(commutator(X_66,X_65),commutator(X_66,X_65)) = commutator(multiply(X_66,X_66),X_65),
inference(subst,[],[refute_0_2686:[bind(X_325,$fot(X_65)),bind(X_90,$fot(X_66))]]) ).
cnf(refute_0_5092,plain,
inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66))) = multiply(commutator(X_66,X_65),commutator(X_66,X_65)),
inference(subst,[],[refute_0_3762:[bind(X,$fot(X_66)),bind(Y,$fot(X_65)),bind(X_534,$fot(X_66)),bind(X_535,$fot(X_65))]]) ).
cnf(refute_0_5093,plain,
( multiply(commutator(X_66,X_65),commutator(X_66,X_65)) != commutator(multiply(X_66,X_66),X_65)
| inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66))) != multiply(commutator(X_66,X_65),commutator(X_66,X_65))
| inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66))) = commutator(multiply(X_66,X_66),X_65) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66))))),bind(Y0,$fot(multiply(commutator(X_66,X_65),commutator(X_66,X_65)))),bind(Z0,$fot(commutator(multiply(X_66,X_66),X_65)))]]) ).
cnf(refute_0_5094,plain,
( multiply(commutator(X_66,X_65),commutator(X_66,X_65)) != commutator(multiply(X_66,X_66),X_65)
| inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66))) = commutator(multiply(X_66,X_66),X_65) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66))),multiply(commutator(X_66,X_65),commutator(X_66,X_65))) )],[refute_0_5092,refute_0_5093]) ).
cnf(refute_0_5095,plain,
inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66))) = commutator(multiply(X_66,X_66),X_65),
inference(resolve,[$cnf( $equal(multiply(commutator(X_66,X_65),commutator(X_66,X_65)),commutator(multiply(X_66,X_66),X_65)) )],[refute_0_5091,refute_0_5094]) ).
cnf(refute_0_5096,plain,
multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66)))) = multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66)))),
introduced(tautology,[refl,[$fot(multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66)))))]]) ).
cnf(refute_0_5097,plain,
( multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66)))) != multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66))))
| inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66))) != commutator(multiply(X_66,X_66),X_65)
| multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66)))) = multiply(X_612,commutator(multiply(X_66,X_66),X_65)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66)))),multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66))))) ),[1,1],$fot(commutator(multiply(X_66,X_66),X_65))]]) ).
cnf(refute_0_5098,plain,
( inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66))) != commutator(multiply(X_66,X_66),X_65)
| multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66)))) = multiply(X_612,commutator(multiply(X_66,X_66),X_65)) ),
inference(resolve,[$cnf( $equal(multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66)))),multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66))))) )],[refute_0_5096,refute_0_5097]) ).
cnf(refute_0_5099,plain,
multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66)))) = multiply(X_612,commutator(multiply(X_66,X_66),X_65)),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66))),commutator(multiply(X_66,X_66),X_65)) )],[refute_0_5095,refute_0_5098]) ).
cnf(refute_0_5100,plain,
( multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66)))) != multiply(X_612,commutator(multiply(X_66,X_66),X_65))
| multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66)))) != multiply(commutator(X_66,X_65),multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66))))))
| multiply(X_612,commutator(multiply(X_66,X_66),X_65)) = multiply(commutator(X_66,X_65),multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66)))),multiply(commutator(X_66,X_65),multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66))))))) ),[0],$fot(multiply(X_612,commutator(multiply(X_66,X_66),X_65)))]]) ).
cnf(refute_0_5101,plain,
( multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66)))) != multiply(commutator(X_66,X_65),multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66))))))
| multiply(X_612,commutator(multiply(X_66,X_66),X_65)) = multiply(commutator(X_66,X_65),multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66)))))) ),
inference(resolve,[$cnf( $equal(multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66)))),multiply(X_612,commutator(multiply(X_66,X_66),X_65))) )],[refute_0_5099,refute_0_5100]) ).
cnf(refute_0_5102,plain,
multiply(X_612,multiply(commutator(X_66,X_65),commutator(X_66,commutator(X_65,X_612)))) = multiply(commutator(X_66,X_65),X_612),
inference(subst,[],[refute_0_3156:[bind(X_329,$fot(X_612)),bind(X_330,$fot(X_66)),bind(X_331,$fot(X_65))]]) ).
cnf(refute_0_5103,plain,
multiply(commutator(X_65,commutator(X_66,X_612)),commutator(X_66,X_65)) = multiply(commutator(X_66,X_65),commutator(X_66,commutator(X_65,X_612))),
inference(subst,[],[refute_0_3769:[bind(Y,$fot(X_612)),bind(X_282,$fot(X_65)),bind(X_283,$fot(X_66))]]) ).
cnf(refute_0_5104,plain,
commutator(commutator(X_65,X_66),X_612) = commutator(X_65,commutator(X_66,X_612)),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(X_65)),bind(Y,$fot(X_66)),bind(Z,$fot(X_612))]]) ).
cnf(refute_0_5105,plain,
multiply(commutator(commutator(X_65,X_66),X_612),commutator(X_66,X_65)) = multiply(commutator(commutator(X_65,X_66),X_612),commutator(X_66,X_65)),
introduced(tautology,[refl,[$fot(multiply(commutator(commutator(X_65,X_66),X_612),commutator(X_66,X_65)))]]) ).
cnf(refute_0_5106,plain,
( multiply(commutator(commutator(X_65,X_66),X_612),commutator(X_66,X_65)) != multiply(commutator(commutator(X_65,X_66),X_612),commutator(X_66,X_65))
| commutator(commutator(X_65,X_66),X_612) != commutator(X_65,commutator(X_66,X_612))
| multiply(commutator(commutator(X_65,X_66),X_612),commutator(X_66,X_65)) = multiply(commutator(X_65,commutator(X_66,X_612)),commutator(X_66,X_65)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(commutator(X_65,X_66),X_612),commutator(X_66,X_65)),multiply(commutator(commutator(X_65,X_66),X_612),commutator(X_66,X_65))) ),[1,0],$fot(commutator(X_65,commutator(X_66,X_612)))]]) ).
cnf(refute_0_5107,plain,
( commutator(commutator(X_65,X_66),X_612) != commutator(X_65,commutator(X_66,X_612))
| multiply(commutator(commutator(X_65,X_66),X_612),commutator(X_66,X_65)) = multiply(commutator(X_65,commutator(X_66,X_612)),commutator(X_66,X_65)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(commutator(X_65,X_66),X_612),commutator(X_66,X_65)),multiply(commutator(commutator(X_65,X_66),X_612),commutator(X_66,X_65))) )],[refute_0_5105,refute_0_5106]) ).
cnf(refute_0_5108,plain,
multiply(commutator(commutator(X_65,X_66),X_612),commutator(X_66,X_65)) = multiply(commutator(X_65,commutator(X_66,X_612)),commutator(X_66,X_65)),
inference(resolve,[$cnf( $equal(commutator(commutator(X_65,X_66),X_612),commutator(X_65,commutator(X_66,X_612))) )],[refute_0_5104,refute_0_5107]) ).
cnf(refute_0_5109,plain,
( multiply(commutator(X_65,commutator(X_66,X_612)),commutator(X_66,X_65)) != multiply(commutator(X_66,X_65),commutator(X_66,commutator(X_65,X_612)))
| multiply(commutator(commutator(X_65,X_66),X_612),commutator(X_66,X_65)) != multiply(commutator(X_65,commutator(X_66,X_612)),commutator(X_66,X_65))
| multiply(commutator(commutator(X_65,X_66),X_612),commutator(X_66,X_65)) = multiply(commutator(X_66,X_65),commutator(X_66,commutator(X_65,X_612))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(commutator(X_65,X_66),X_612),commutator(X_66,X_65)))),bind(Y0,$fot(multiply(commutator(X_65,commutator(X_66,X_612)),commutator(X_66,X_65)))),bind(Z0,$fot(multiply(commutator(X_66,X_65),commutator(X_66,commutator(X_65,X_612)))))]]) ).
cnf(refute_0_5110,plain,
( multiply(commutator(X_65,commutator(X_66,X_612)),commutator(X_66,X_65)) != multiply(commutator(X_66,X_65),commutator(X_66,commutator(X_65,X_612)))
| multiply(commutator(commutator(X_65,X_66),X_612),commutator(X_66,X_65)) = multiply(commutator(X_66,X_65),commutator(X_66,commutator(X_65,X_612))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(commutator(X_65,X_66),X_612),commutator(X_66,X_65)),multiply(commutator(X_65,commutator(X_66,X_612)),commutator(X_66,X_65))) )],[refute_0_5108,refute_0_5109]) ).
cnf(refute_0_5111,plain,
multiply(commutator(commutator(X_65,X_66),X_612),commutator(X_66,X_65)) = multiply(commutator(X_66,X_65),commutator(X_66,commutator(X_65,X_612))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_65,commutator(X_66,X_612)),commutator(X_66,X_65)),multiply(commutator(X_66,X_65),commutator(X_66,commutator(X_65,X_612)))) )],[refute_0_5103,refute_0_5110]) ).
cnf(refute_0_5112,plain,
inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66)))) = multiply(commutator(commutator(X_65,X_66),X_612),commutator(X_66,X_65)),
inference(subst,[],[refute_0_3762:[bind(X,$fot(X_66)),bind(Y,$fot(X_65)),bind(X_534,$fot(commutator(X_65,X_66))),bind(X_535,$fot(X_612))]]) ).
cnf(refute_0_5113,plain,
( multiply(commutator(commutator(X_65,X_66),X_612),commutator(X_66,X_65)) != multiply(commutator(X_66,X_65),commutator(X_66,commutator(X_65,X_612)))
| inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66)))) != multiply(commutator(commutator(X_65,X_66),X_612),commutator(X_66,X_65))
| inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66)))) = multiply(commutator(X_66,X_65),commutator(X_66,commutator(X_65,X_612))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66)))))),bind(Y0,$fot(multiply(commutator(commutator(X_65,X_66),X_612),commutator(X_66,X_65)))),bind(Z0,$fot(multiply(commutator(X_66,X_65),commutator(X_66,commutator(X_65,X_612)))))]]) ).
cnf(refute_0_5114,plain,
( multiply(commutator(commutator(X_65,X_66),X_612),commutator(X_66,X_65)) != multiply(commutator(X_66,X_65),commutator(X_66,commutator(X_65,X_612)))
| inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66)))) = multiply(commutator(X_66,X_65),commutator(X_66,commutator(X_65,X_612))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66)))),multiply(commutator(commutator(X_65,X_66),X_612),commutator(X_66,X_65))) )],[refute_0_5112,refute_0_5113]) ).
cnf(refute_0_5115,plain,
inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66)))) = multiply(commutator(X_66,X_65),commutator(X_66,commutator(X_65,X_612))),
inference(resolve,[$cnf( $equal(multiply(commutator(commutator(X_65,X_66),X_612),commutator(X_66,X_65)),multiply(commutator(X_66,X_65),commutator(X_66,commutator(X_65,X_612)))) )],[refute_0_5111,refute_0_5114]) ).
cnf(refute_0_5116,plain,
multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66))))) = multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66))))),
introduced(tautology,[refl,[$fot(multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66))))))]]) ).
cnf(refute_0_5117,plain,
( multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66))))) != multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66)))))
| inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66)))) != multiply(commutator(X_66,X_65),commutator(X_66,commutator(X_65,X_612)))
| multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66))))) = multiply(X_612,multiply(commutator(X_66,X_65),commutator(X_66,commutator(X_65,X_612)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66))))),multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66)))))) ),[1,1],$fot(multiply(commutator(X_66,X_65),commutator(X_66,commutator(X_65,X_612))))]]) ).
cnf(refute_0_5118,plain,
( inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66)))) != multiply(commutator(X_66,X_65),commutator(X_66,commutator(X_65,X_612)))
| multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66))))) = multiply(X_612,multiply(commutator(X_66,X_65),commutator(X_66,commutator(X_65,X_612)))) ),
inference(resolve,[$cnf( $equal(multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66))))),multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66)))))) )],[refute_0_5116,refute_0_5117]) ).
cnf(refute_0_5119,plain,
multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66))))) = multiply(X_612,multiply(commutator(X_66,X_65),commutator(X_66,commutator(X_65,X_612)))),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66)))),multiply(commutator(X_66,X_65),commutator(X_66,commutator(X_65,X_612)))) )],[refute_0_5115,refute_0_5118]) ).
cnf(refute_0_5120,plain,
( multiply(X_612,multiply(commutator(X_66,X_65),commutator(X_66,commutator(X_65,X_612)))) != multiply(commutator(X_66,X_65),X_612)
| multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66))))) != multiply(X_612,multiply(commutator(X_66,X_65),commutator(X_66,commutator(X_65,X_612))))
| multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66))))) = multiply(commutator(X_66,X_65),X_612) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66))))))),bind(Y0,$fot(multiply(X_612,multiply(commutator(X_66,X_65),commutator(X_66,commutator(X_65,X_612)))))),bind(Z0,$fot(multiply(commutator(X_66,X_65),X_612)))]]) ).
cnf(refute_0_5121,plain,
( multiply(X_612,multiply(commutator(X_66,X_65),commutator(X_66,commutator(X_65,X_612)))) != multiply(commutator(X_66,X_65),X_612)
| multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66))))) = multiply(commutator(X_66,X_65),X_612) ),
inference(resolve,[$cnf( $equal(multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66))))),multiply(X_612,multiply(commutator(X_66,X_65),commutator(X_66,commutator(X_65,X_612))))) )],[refute_0_5119,refute_0_5120]) ).
cnf(refute_0_5122,plain,
multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66))))) = multiply(commutator(X_66,X_65),X_612),
inference(resolve,[$cnf( $equal(multiply(X_612,multiply(commutator(X_66,X_65),commutator(X_66,commutator(X_65,X_612)))),multiply(commutator(X_66,X_65),X_612)) )],[refute_0_5102,refute_0_5121]) ).
cnf(refute_0_5123,plain,
multiply(commutator(X_66,X_65),multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66)))))) = multiply(commutator(X_66,X_65),multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66)))))),
introduced(tautology,[refl,[$fot(multiply(commutator(X_66,X_65),multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66)))))))]]) ).
cnf(refute_0_5124,plain,
( multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66))))) != multiply(commutator(X_66,X_65),X_612)
| multiply(commutator(X_66,X_65),multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66)))))) != multiply(commutator(X_66,X_65),multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66))))))
| multiply(commutator(X_66,X_65),multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66)))))) = multiply(commutator(X_66,X_65),multiply(commutator(X_66,X_65),X_612)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_66,X_65),multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66)))))),multiply(commutator(X_66,X_65),multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66))))))) ),[1,1],$fot(multiply(commutator(X_66,X_65),X_612))]]) ).
cnf(refute_0_5125,plain,
( multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66))))) != multiply(commutator(X_66,X_65),X_612)
| multiply(commutator(X_66,X_65),multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66)))))) = multiply(commutator(X_66,X_65),multiply(commutator(X_66,X_65),X_612)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_66,X_65),multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66)))))),multiply(commutator(X_66,X_65),multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66))))))) )],[refute_0_5123,refute_0_5124]) ).
cnf(refute_0_5126,plain,
multiply(commutator(X_66,X_65),multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66)))))) = multiply(commutator(X_66,X_65),multiply(commutator(X_66,X_65),X_612)),
inference(resolve,[$cnf( $equal(multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66))))),multiply(commutator(X_66,X_65),X_612)) )],[refute_0_5122,refute_0_5125]) ).
cnf(refute_0_5127,plain,
( multiply(X_612,commutator(multiply(X_66,X_66),X_65)) != multiply(commutator(X_66,X_65),multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66))))))
| multiply(commutator(X_66,X_65),multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66)))))) != multiply(commutator(X_66,X_65),multiply(commutator(X_66,X_65),X_612))
| multiply(X_612,commutator(multiply(X_66,X_66),X_65)) = multiply(commutator(X_66,X_65),multiply(commutator(X_66,X_65),X_612)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_612,commutator(multiply(X_66,X_66),X_65)),multiply(commutator(X_66,X_65),multiply(commutator(X_66,X_65),X_612))) ),[0],$fot(multiply(commutator(X_66,X_65),multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66)))))))]]) ).
cnf(refute_0_5128,plain,
( multiply(X_612,commutator(multiply(X_66,X_66),X_65)) != multiply(commutator(X_66,X_65),multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66))))))
| multiply(X_612,commutator(multiply(X_66,X_66),X_65)) = multiply(commutator(X_66,X_65),multiply(commutator(X_66,X_65),X_612)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_66,X_65),multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66)))))),multiply(commutator(X_66,X_65),multiply(commutator(X_66,X_65),X_612))) )],[refute_0_5126,refute_0_5127]) ).
cnf(refute_0_5129,plain,
( multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66)))) != multiply(commutator(X_66,X_65),multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66))))))
| multiply(X_612,commutator(multiply(X_66,X_66),X_65)) = multiply(commutator(X_66,X_65),multiply(commutator(X_66,X_65),X_612)) ),
inference(resolve,[$cnf( $equal(multiply(X_612,commutator(multiply(X_66,X_66),X_65)),multiply(commutator(X_66,X_65),multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66))))))) )],[refute_0_5101,refute_0_5128]) ).
cnf(refute_0_5130,plain,
multiply(X_612,commutator(multiply(X_66,X_66),X_65)) = multiply(commutator(X_66,X_65),multiply(commutator(X_66,X_65),X_612)),
inference(resolve,[$cnf( $equal(multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_65,X_66)))),multiply(commutator(X_66,X_65),multiply(X_612,inverse(multiply(commutator(X_65,X_66),commutator(X_612,commutator(X_65,X_66))))))) )],[refute_0_5090,refute_0_5129]) ).
cnf(refute_0_5131,plain,
( multiply(X_612,commutator(multiply(X_66,X_66),X_65)) != multiply(commutator(X_66,X_65),multiply(commutator(X_66,X_65),X_612))
| multiply(commutator(X_66,X_65),multiply(commutator(X_66,X_65),X_612)) = multiply(X_612,commutator(multiply(X_66,X_66),X_65)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(X_612,commutator(multiply(X_66,X_66),X_65)))),bind(Y0,$fot(multiply(commutator(X_66,X_65),multiply(commutator(X_66,X_65),X_612))))]]) ).
cnf(refute_0_5132,plain,
multiply(commutator(X_66,X_65),multiply(commutator(X_66,X_65),X_612)) = multiply(X_612,commutator(multiply(X_66,X_66),X_65)),
inference(resolve,[$cnf( $equal(multiply(X_612,commutator(multiply(X_66,X_66),X_65)),multiply(commutator(X_66,X_65),multiply(commutator(X_66,X_65),X_612))) )],[refute_0_5130,refute_0_5131]) ).
cnf(refute_0_5133,plain,
multiply(commutator(X_644,X_643),multiply(commutator(X_644,X_643),Z)) = multiply(Z,commutator(multiply(X_644,X_644),X_643)),
inference(subst,[],[refute_0_5132:[bind(X_612,$fot(Z)),bind(X_65,$fot(X_643)),bind(X_66,$fot(X_644))]]) ).
cnf(refute_0_5134,plain,
( multiply(commutator(X_644,X_643),multiply(commutator(X_644,X_643),Z)) != multiply(Z,commutator(multiply(X_644,X_644),X_643))
| multiply(commutator(multiply(X_644,X_644),X_643),Z) != multiply(commutator(X_644,X_643),multiply(commutator(X_644,X_643),Z))
| multiply(commutator(multiply(X_644,X_644),X_643),Z) = multiply(Z,commutator(multiply(X_644,X_644),X_643)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(multiply(X_644,X_644),X_643),Z),multiply(commutator(X_644,X_643),multiply(commutator(X_644,X_643),Z))) ),[1],$fot(multiply(Z,commutator(multiply(X_644,X_644),X_643)))]]) ).
cnf(refute_0_5135,plain,
( multiply(commutator(multiply(X_644,X_644),X_643),Z) != multiply(commutator(X_644,X_643),multiply(commutator(X_644,X_643),Z))
| multiply(commutator(multiply(X_644,X_644),X_643),Z) = multiply(Z,commutator(multiply(X_644,X_644),X_643)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_644,X_643),multiply(commutator(X_644,X_643),Z)),multiply(Z,commutator(multiply(X_644,X_644),X_643))) )],[refute_0_5133,refute_0_5134]) ).
cnf(refute_0_5136,plain,
multiply(commutator(multiply(X_644,X_644),X_643),Z) = multiply(Z,commutator(multiply(X_644,X_644),X_643)),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_644,X_644),X_643),Z),multiply(commutator(X_644,X_643),multiply(commutator(X_644,X_643),Z))) )],[refute_0_4955,refute_0_5135]) ).
cnf(refute_0_5137,plain,
( multiply(commutator(multiply(X_644,X_644),X_643),Z) != multiply(Z,commutator(multiply(X_644,X_644),X_643))
| multiply(Z,commutator(multiply(X_644,X_644),X_643)) = multiply(commutator(multiply(X_644,X_644),X_643),Z) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(commutator(multiply(X_644,X_644),X_643),Z))),bind(Y0,$fot(multiply(Z,commutator(multiply(X_644,X_644),X_643))))]]) ).
cnf(refute_0_5138,plain,
multiply(Z,commutator(multiply(X_644,X_644),X_643)) = multiply(commutator(multiply(X_644,X_644),X_643),Z),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_644,X_644),X_643),Z),multiply(Z,commutator(multiply(X_644,X_644),X_643))) )],[refute_0_5136,refute_0_5137]) ).
cnf(refute_0_5139,plain,
multiply(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(multiply(X_471,X_471),X_470)) = multiply(commutator(multiply(X_471,X_471),X_470),multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))),
inference(subst,[],[refute_0_5138:[bind(Z,$fot(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))),bind(X_643,$fot(X_470)),bind(X_644,$fot(X_471))]]) ).
cnf(refute_0_5140,plain,
( multiply(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(multiply(X_471,X_471),X_470)) != multiply(commutator(multiply(X_471,X_471),X_470),multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))
| multiply(commutator(multiply(X_471,X_471),X_470),multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))) != multiply(X_470,inverse(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470)))))
| multiply(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(multiply(X_471,X_471),X_470)) = multiply(X_470,inverse(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(multiply(X_471,X_471),X_470)))),bind(Y0,$fot(multiply(commutator(multiply(X_471,X_471),X_470),multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))),bind(Z0,$fot(multiply(X_470,inverse(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470)))))))]]) ).
cnf(refute_0_5141,plain,
( multiply(commutator(multiply(X_471,X_471),X_470),multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))) != multiply(X_470,inverse(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470)))))
| multiply(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(multiply(X_471,X_471),X_470)) = multiply(X_470,inverse(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(multiply(X_471,X_471),X_470)),multiply(commutator(multiply(X_471,X_471),X_470),multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) )],[refute_0_5139,refute_0_5140]) ).
cnf(refute_0_5142,plain,
multiply(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(multiply(X_471,X_471),X_470)) = multiply(X_470,inverse(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470))))),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_471,X_471),X_470),multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))),multiply(X_470,inverse(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470)))))) )],[refute_0_4948,refute_0_5141]) ).
cnf(refute_0_5143,plain,
( multiply(X_470,inverse(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470))))) != multiply(X_470,inverse(X_27))
| multiply(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(multiply(X_471,X_471),X_470)) != multiply(X_470,inverse(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470)))))
| multiply(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(multiply(X_471,X_471),X_470)) = multiply(X_470,inverse(X_27)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(multiply(X_471,X_471),X_470)))),bind(Y0,$fot(multiply(X_470,inverse(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470))))))),bind(Z0,$fot(multiply(X_470,inverse(X_27))))]]) ).
cnf(refute_0_5144,plain,
( multiply(X_470,inverse(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470))))) != multiply(X_470,inverse(X_27))
| multiply(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(multiply(X_471,X_471),X_470)) = multiply(X_470,inverse(X_27)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(multiply(X_471,X_471),X_470)),multiply(X_470,inverse(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470)))))) )],[refute_0_5142,refute_0_5143]) ).
cnf(refute_0_5145,plain,
multiply(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(multiply(X_471,X_471),X_470)) = multiply(X_470,inverse(X_27)),
inference(resolve,[$cnf( $equal(multiply(X_470,inverse(multiply(X_27,commutator(X_470,commutator(multiply(X_471,X_471),X_470))))),multiply(X_470,inverse(X_27))) )],[refute_0_4858,refute_0_5144]) ).
cnf(refute_0_5146,plain,
multiply(inverse(X_470),multiply(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(multiply(X_471,X_471),X_470))) = multiply(inverse(X_470),multiply(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(multiply(X_471,X_471),X_470))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_470),multiply(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(multiply(X_471,X_471),X_470))))]]) ).
cnf(refute_0_5147,plain,
( multiply(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(multiply(X_471,X_471),X_470)) != multiply(X_470,inverse(X_27))
| multiply(inverse(X_470),multiply(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(multiply(X_471,X_471),X_470))) != multiply(inverse(X_470),multiply(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(multiply(X_471,X_471),X_470)))
| multiply(inverse(X_470),multiply(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(multiply(X_471,X_471),X_470))) = multiply(inverse(X_470),multiply(X_470,inverse(X_27))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_470),multiply(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(multiply(X_471,X_471),X_470))),multiply(inverse(X_470),multiply(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(multiply(X_471,X_471),X_470)))) ),[1,1],$fot(multiply(X_470,inverse(X_27)))]]) ).
cnf(refute_0_5148,plain,
( multiply(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(multiply(X_471,X_471),X_470)) != multiply(X_470,inverse(X_27))
| multiply(inverse(X_470),multiply(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(multiply(X_471,X_471),X_470))) = multiply(inverse(X_470),multiply(X_470,inverse(X_27))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_470),multiply(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(multiply(X_471,X_471),X_470))),multiply(inverse(X_470),multiply(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(multiply(X_471,X_471),X_470)))) )],[refute_0_5146,refute_0_5147]) ).
cnf(refute_0_5149,plain,
multiply(inverse(X_470),multiply(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(multiply(X_471,X_471),X_470))) = multiply(inverse(X_470),multiply(X_470,inverse(X_27))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(multiply(X_471,X_471),X_470)),multiply(X_470,inverse(X_27))) )],[refute_0_5145,refute_0_5148]) ).
cnf(refute_0_5150,plain,
( multiply(inverse(X_470),multiply(X_470,inverse(X_27))) != inverse(X_27)
| multiply(inverse(X_470),multiply(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(multiply(X_471,X_471),X_470))) != multiply(inverse(X_470),multiply(X_470,inverse(X_27)))
| multiply(inverse(X_470),multiply(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(multiply(X_471,X_471),X_470))) = inverse(X_27) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(X_470),multiply(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(multiply(X_471,X_471),X_470))))),bind(Y0,$fot(multiply(inverse(X_470),multiply(X_470,inverse(X_27))))),bind(Z0,$fot(inverse(X_27)))]]) ).
cnf(refute_0_5151,plain,
( multiply(inverse(X_470),multiply(X_470,inverse(X_27))) != inverse(X_27)
| multiply(inverse(X_470),multiply(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(multiply(X_471,X_471),X_470))) = inverse(X_27) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_470),multiply(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(multiply(X_471,X_471),X_470))),multiply(inverse(X_470),multiply(X_470,inverse(X_27)))) )],[refute_0_5149,refute_0_5150]) ).
cnf(refute_0_5152,plain,
multiply(inverse(X_470),multiply(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(multiply(X_471,X_471),X_470))) = inverse(X_27),
inference(resolve,[$cnf( $equal(multiply(inverse(X_470),multiply(X_470,inverse(X_27))),inverse(X_27)) )],[refute_0_4756,refute_0_5151]) ).
cnf(refute_0_5153,plain,
multiply(commutator(X_506,multiply(X_109,commutator(X_109,X_506))),multiply(inverse(multiply(X_109,commutator(X_109,X_506))),X_505)) = multiply(inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)),multiply(X_506,X_505)),
inference(subst,[],[refute_0_2844:[bind(Z,$fot(X_505)),bind(X_255,$fot(X_506)),bind(X_256,$fot(multiply(X_109,commutator(X_109,X_506))))]]) ).
cnf(refute_0_5154,plain,
commutator(X_506,multiply(X_109,commutator(X_109,X_506))) = commutator(X_506,X_109),
inference(subst,[],[refute_0_1764:[bind(X_121,$fot(X_506))]]) ).
cnf(refute_0_5155,plain,
( multiply(commutator(X_506,multiply(X_109,commutator(X_109,X_506))),multiply(inverse(multiply(X_109,commutator(X_109,X_506))),X_505)) != multiply(inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)),multiply(X_506,X_505))
| commutator(X_506,multiply(X_109,commutator(X_109,X_506))) != commutator(X_506,X_109)
| multiply(commutator(X_506,X_109),multiply(inverse(multiply(X_109,commutator(X_109,X_506))),X_505)) = multiply(inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)),multiply(X_506,X_505)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_506,multiply(X_109,commutator(X_109,X_506))),multiply(inverse(multiply(X_109,commutator(X_109,X_506))),X_505)),multiply(inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)),multiply(X_506,X_505))) ),[0,0],$fot(commutator(X_506,X_109))]]) ).
cnf(refute_0_5156,plain,
( multiply(commutator(X_506,multiply(X_109,commutator(X_109,X_506))),multiply(inverse(multiply(X_109,commutator(X_109,X_506))),X_505)) != multiply(inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)),multiply(X_506,X_505))
| multiply(commutator(X_506,X_109),multiply(inverse(multiply(X_109,commutator(X_109,X_506))),X_505)) = multiply(inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)),multiply(X_506,X_505)) ),
inference(resolve,[$cnf( $equal(commutator(X_506,multiply(X_109,commutator(X_109,X_506))),commutator(X_506,X_109)) )],[refute_0_5154,refute_0_5155]) ).
cnf(refute_0_5157,plain,
multiply(commutator(X_506,X_109),multiply(inverse(multiply(X_109,commutator(X_109,X_506))),X_505)) = multiply(inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)),multiply(X_506,X_505)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_506,multiply(X_109,commutator(X_109,X_506))),multiply(inverse(multiply(X_109,commutator(X_109,X_506))),X_505)),multiply(inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)),multiply(X_506,X_505))) )],[refute_0_5153,refute_0_5156]) ).
cnf(refute_0_5158,plain,
multiply(inverse(multiply(X_109,commutator(X_109,X_506))),X_505) = multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505)),
inference(subst,[],[refute_0_666:[bind(X_366,$fot(X_505)),bind(X_367,$fot(X_109)),bind(X_65,$fot(X_109)),bind(X_66,$fot(X_506))]]) ).
cnf(refute_0_5159,plain,
multiply(commutator(X_506,X_109),multiply(inverse(multiply(X_109,commutator(X_109,X_506))),X_505)) = multiply(commutator(X_506,X_109),multiply(inverse(multiply(X_109,commutator(X_109,X_506))),X_505)),
introduced(tautology,[refl,[$fot(multiply(commutator(X_506,X_109),multiply(inverse(multiply(X_109,commutator(X_109,X_506))),X_505)))]]) ).
cnf(refute_0_5160,plain,
( multiply(commutator(X_506,X_109),multiply(inverse(multiply(X_109,commutator(X_109,X_506))),X_505)) != multiply(commutator(X_506,X_109),multiply(inverse(multiply(X_109,commutator(X_109,X_506))),X_505))
| multiply(inverse(multiply(X_109,commutator(X_109,X_506))),X_505) != multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505))
| multiply(commutator(X_506,X_109),multiply(inverse(multiply(X_109,commutator(X_109,X_506))),X_505)) = multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_506,X_109),multiply(inverse(multiply(X_109,commutator(X_109,X_506))),X_505)),multiply(commutator(X_506,X_109),multiply(inverse(multiply(X_109,commutator(X_109,X_506))),X_505))) ),[1,1],$fot(multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505)))]]) ).
cnf(refute_0_5161,plain,
( multiply(inverse(multiply(X_109,commutator(X_109,X_506))),X_505) != multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505))
| multiply(commutator(X_506,X_109),multiply(inverse(multiply(X_109,commutator(X_109,X_506))),X_505)) = multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_506,X_109),multiply(inverse(multiply(X_109,commutator(X_109,X_506))),X_505)),multiply(commutator(X_506,X_109),multiply(inverse(multiply(X_109,commutator(X_109,X_506))),X_505))) )],[refute_0_5159,refute_0_5160]) ).
cnf(refute_0_5162,plain,
multiply(commutator(X_506,X_109),multiply(inverse(multiply(X_109,commutator(X_109,X_506))),X_505)) = multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_109,commutator(X_109,X_506))),X_505),multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505))) )],[refute_0_5158,refute_0_5161]) ).
cnf(refute_0_5163,plain,
( multiply(commutator(X_506,X_109),multiply(inverse(multiply(X_109,commutator(X_109,X_506))),X_505)) != multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505)))
| multiply(commutator(X_506,X_109),multiply(inverse(multiply(X_109,commutator(X_109,X_506))),X_505)) != multiply(inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)),multiply(X_506,X_505))
| multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505))) = multiply(inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)),multiply(X_506,X_505)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_506,X_109),multiply(inverse(multiply(X_109,commutator(X_109,X_506))),X_505)),multiply(inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)),multiply(X_506,X_505))) ),[0],$fot(multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505))))]]) ).
cnf(refute_0_5164,plain,
( multiply(commutator(X_506,X_109),multiply(inverse(multiply(X_109,commutator(X_109,X_506))),X_505)) != multiply(inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)),multiply(X_506,X_505))
| multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505))) = multiply(inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)),multiply(X_506,X_505)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_506,X_109),multiply(inverse(multiply(X_109,commutator(X_109,X_506))),X_505)),multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505)))) )],[refute_0_5162,refute_0_5163]) ).
cnf(refute_0_5165,plain,
multiply(commutator(X_109,X_506),X_506) = multiply(X_506,commutator(X_109,X_506)),
inference(subst,[],[refute_0_1032:[bind(X_135,$fot(X_109)),bind(X_153,$fot(X_506))]]) ).
cnf(refute_0_5166,plain,
multiply(X_109,multiply(commutator(X_109,X_506),X_506)) = multiply(X_109,multiply(commutator(X_109,X_506),X_506)),
introduced(tautology,[refl,[$fot(multiply(X_109,multiply(commutator(X_109,X_506),X_506)))]]) ).
cnf(refute_0_5167,plain,
( multiply(X_109,multiply(commutator(X_109,X_506),X_506)) != multiply(X_109,multiply(commutator(X_109,X_506),X_506))
| multiply(commutator(X_109,X_506),X_506) != multiply(X_506,commutator(X_109,X_506))
| multiply(X_109,multiply(commutator(X_109,X_506),X_506)) = multiply(X_109,multiply(X_506,commutator(X_109,X_506))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_109,multiply(commutator(X_109,X_506),X_506)),multiply(X_109,multiply(commutator(X_109,X_506),X_506))) ),[1,1],$fot(multiply(X_506,commutator(X_109,X_506)))]]) ).
cnf(refute_0_5168,plain,
( multiply(commutator(X_109,X_506),X_506) != multiply(X_506,commutator(X_109,X_506))
| multiply(X_109,multiply(commutator(X_109,X_506),X_506)) = multiply(X_109,multiply(X_506,commutator(X_109,X_506))) ),
inference(resolve,[$cnf( $equal(multiply(X_109,multiply(commutator(X_109,X_506),X_506)),multiply(X_109,multiply(commutator(X_109,X_506),X_506))) )],[refute_0_5166,refute_0_5167]) ).
cnf(refute_0_5169,plain,
multiply(X_109,multiply(commutator(X_109,X_506),X_506)) = multiply(X_109,multiply(X_506,commutator(X_109,X_506))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_109,X_506),X_506),multiply(X_506,commutator(X_109,X_506))) )],[refute_0_5165,refute_0_5168]) ).
cnf(refute_0_5170,plain,
multiply(multiply(X_109,commutator(X_109,X_506)),X_506) = multiply(X_109,multiply(commutator(X_109,X_506),X_506)),
inference(subst,[],[associativity:[bind(X,$fot(X_109)),bind(Y,$fot(commutator(X_109,X_506))),bind(Z,$fot(X_506))]]) ).
cnf(refute_0_5171,plain,
( multiply(X_109,multiply(commutator(X_109,X_506),X_506)) != multiply(X_109,multiply(X_506,commutator(X_109,X_506)))
| multiply(multiply(X_109,commutator(X_109,X_506)),X_506) != multiply(X_109,multiply(commutator(X_109,X_506),X_506))
| multiply(multiply(X_109,commutator(X_109,X_506)),X_506) = multiply(X_109,multiply(X_506,commutator(X_109,X_506))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_109,commutator(X_109,X_506)),X_506))),bind(Y0,$fot(multiply(X_109,multiply(commutator(X_109,X_506),X_506)))),bind(Z0,$fot(multiply(X_109,multiply(X_506,commutator(X_109,X_506)))))]]) ).
cnf(refute_0_5172,plain,
( multiply(X_109,multiply(commutator(X_109,X_506),X_506)) != multiply(X_109,multiply(X_506,commutator(X_109,X_506)))
| multiply(multiply(X_109,commutator(X_109,X_506)),X_506) = multiply(X_109,multiply(X_506,commutator(X_109,X_506))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_109,commutator(X_109,X_506)),X_506),multiply(X_109,multiply(commutator(X_109,X_506),X_506))) )],[refute_0_5170,refute_0_5171]) ).
cnf(refute_0_5173,plain,
multiply(multiply(X_109,commutator(X_109,X_506)),X_506) = multiply(X_109,multiply(X_506,commutator(X_109,X_506))),
inference(resolve,[$cnf( $equal(multiply(X_109,multiply(commutator(X_109,X_506),X_506)),multiply(X_109,multiply(X_506,commutator(X_109,X_506)))) )],[refute_0_5169,refute_0_5172]) ).
cnf(refute_0_5174,plain,
inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)) = inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)))]]) ).
cnf(refute_0_5175,plain,
( multiply(multiply(X_109,commutator(X_109,X_506)),X_506) != multiply(X_109,multiply(X_506,commutator(X_109,X_506)))
| inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)) != inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506))
| inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)) = inverse(multiply(X_109,multiply(X_506,commutator(X_109,X_506)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)),inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506))) ),[1,0],$fot(multiply(X_109,multiply(X_506,commutator(X_109,X_506))))]]) ).
cnf(refute_0_5176,plain,
( multiply(multiply(X_109,commutator(X_109,X_506)),X_506) != multiply(X_109,multiply(X_506,commutator(X_109,X_506)))
| inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)) = inverse(multiply(X_109,multiply(X_506,commutator(X_109,X_506)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)),inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506))) )],[refute_0_5174,refute_0_5175]) ).
cnf(refute_0_5177,plain,
inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)) = inverse(multiply(X_109,multiply(X_506,commutator(X_109,X_506)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_109,commutator(X_109,X_506)),X_506),multiply(X_109,multiply(X_506,commutator(X_109,X_506)))) )],[refute_0_5173,refute_0_5176]) ).
cnf(refute_0_5178,plain,
multiply(inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)),multiply(X_506,X_505)) = multiply(inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)),multiply(X_506,X_505)),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)),multiply(X_506,X_505)))]]) ).
cnf(refute_0_5179,plain,
( multiply(inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)),multiply(X_506,X_505)) != multiply(inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)),multiply(X_506,X_505))
| inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)) != inverse(multiply(X_109,multiply(X_506,commutator(X_109,X_506))))
| multiply(inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)),multiply(X_506,X_505)) = multiply(inverse(multiply(X_109,multiply(X_506,commutator(X_109,X_506)))),multiply(X_506,X_505)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)),multiply(X_506,X_505)),multiply(inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)),multiply(X_506,X_505))) ),[1,0],$fot(inverse(multiply(X_109,multiply(X_506,commutator(X_109,X_506)))))]]) ).
cnf(refute_0_5180,plain,
( inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)) != inverse(multiply(X_109,multiply(X_506,commutator(X_109,X_506))))
| multiply(inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)),multiply(X_506,X_505)) = multiply(inverse(multiply(X_109,multiply(X_506,commutator(X_109,X_506)))),multiply(X_506,X_505)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)),multiply(X_506,X_505)),multiply(inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)),multiply(X_506,X_505))) )],[refute_0_5178,refute_0_5179]) ).
cnf(refute_0_5181,plain,
multiply(inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)),multiply(X_506,X_505)) = multiply(inverse(multiply(X_109,multiply(X_506,commutator(X_109,X_506)))),multiply(X_506,X_505)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)),inverse(multiply(X_109,multiply(X_506,commutator(X_109,X_506))))) )],[refute_0_5177,refute_0_5180]) ).
cnf(refute_0_5182,plain,
( multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505))) != multiply(inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)),multiply(X_506,X_505))
| multiply(inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)),multiply(X_506,X_505)) != multiply(inverse(multiply(X_109,multiply(X_506,commutator(X_109,X_506)))),multiply(X_506,X_505))
| multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505))) = multiply(inverse(multiply(X_109,multiply(X_506,commutator(X_109,X_506)))),multiply(X_506,X_505)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505))),multiply(inverse(multiply(X_109,multiply(X_506,commutator(X_109,X_506)))),multiply(X_506,X_505))) ),[0],$fot(multiply(inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)),multiply(X_506,X_505)))]]) ).
cnf(refute_0_5183,plain,
( multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505))) != multiply(inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)),multiply(X_506,X_505))
| multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505))) = multiply(inverse(multiply(X_109,multiply(X_506,commutator(X_109,X_506)))),multiply(X_506,X_505)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)),multiply(X_506,X_505)),multiply(inverse(multiply(X_109,multiply(X_506,commutator(X_109,X_506)))),multiply(X_506,X_505))) )],[refute_0_5181,refute_0_5182]) ).
cnf(refute_0_5184,plain,
( multiply(commutator(X_506,X_109),multiply(inverse(multiply(X_109,commutator(X_109,X_506))),X_505)) != multiply(inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)),multiply(X_506,X_505))
| multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505))) = multiply(inverse(multiply(X_109,multiply(X_506,commutator(X_109,X_506)))),multiply(X_506,X_505)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505))),multiply(inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)),multiply(X_506,X_505))) )],[refute_0_5164,refute_0_5183]) ).
cnf(refute_0_5185,plain,
multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505))) = multiply(inverse(multiply(X_109,multiply(X_506,commutator(X_109,X_506)))),multiply(X_506,X_505)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_506,X_109),multiply(inverse(multiply(X_109,commutator(X_109,X_506))),X_505)),multiply(inverse(multiply(multiply(X_109,commutator(X_109,X_506)),X_506)),multiply(X_506,X_505))) )],[refute_0_5157,refute_0_5184]) ).
cnf(refute_0_5186,plain,
multiply(commutator(multiply(X_510,commutator(X_510,X_256)),X_256),multiply(inverse(X_256),Z)) = multiply(inverse(multiply(X_256,multiply(X_510,commutator(X_510,X_256)))),multiply(multiply(X_510,commutator(X_510,X_256)),Z)),
inference(subst,[],[refute_0_2844:[bind(X_255,$fot(multiply(X_510,commutator(X_510,X_256))))]]) ).
cnf(refute_0_5187,plain,
multiply(X_510,X_256) = multiply(X_256,multiply(X_510,commutator(X_510,X_256))),
inference(subst,[],[refute_0_194:[bind(X,$fot(X_510)),bind(Y,$fot(X_256))]]) ).
cnf(refute_0_5188,plain,
( multiply(X_510,X_256) != multiply(X_256,multiply(X_510,commutator(X_510,X_256)))
| multiply(X_256,multiply(X_510,commutator(X_510,X_256))) = multiply(X_510,X_256) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(X_510,X_256))),bind(Y0,$fot(multiply(X_256,multiply(X_510,commutator(X_510,X_256)))))]]) ).
cnf(refute_0_5189,plain,
multiply(X_256,multiply(X_510,commutator(X_510,X_256))) = multiply(X_510,X_256),
inference(resolve,[$cnf( $equal(multiply(X_510,X_256),multiply(X_256,multiply(X_510,commutator(X_510,X_256)))) )],[refute_0_5187,refute_0_5188]) ).
cnf(refute_0_5190,plain,
( multiply(X_256,multiply(X_510,commutator(X_510,X_256))) != multiply(X_510,X_256)
| multiply(commutator(multiply(X_510,commutator(X_510,X_256)),X_256),multiply(inverse(X_256),Z)) != multiply(inverse(multiply(X_256,multiply(X_510,commutator(X_510,X_256)))),multiply(multiply(X_510,commutator(X_510,X_256)),Z))
| multiply(commutator(multiply(X_510,commutator(X_510,X_256)),X_256),multiply(inverse(X_256),Z)) = multiply(inverse(multiply(X_510,X_256)),multiply(multiply(X_510,commutator(X_510,X_256)),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(multiply(X_510,commutator(X_510,X_256)),X_256),multiply(inverse(X_256),Z)),multiply(inverse(multiply(X_256,multiply(X_510,commutator(X_510,X_256)))),multiply(multiply(X_510,commutator(X_510,X_256)),Z))) ),[1,0,0],$fot(multiply(X_510,X_256))]]) ).
cnf(refute_0_5191,plain,
( multiply(commutator(multiply(X_510,commutator(X_510,X_256)),X_256),multiply(inverse(X_256),Z)) != multiply(inverse(multiply(X_256,multiply(X_510,commutator(X_510,X_256)))),multiply(multiply(X_510,commutator(X_510,X_256)),Z))
| multiply(commutator(multiply(X_510,commutator(X_510,X_256)),X_256),multiply(inverse(X_256),Z)) = multiply(inverse(multiply(X_510,X_256)),multiply(multiply(X_510,commutator(X_510,X_256)),Z)) ),
inference(resolve,[$cnf( $equal(multiply(X_256,multiply(X_510,commutator(X_510,X_256))),multiply(X_510,X_256)) )],[refute_0_5189,refute_0_5190]) ).
cnf(refute_0_5192,plain,
multiply(commutator(multiply(X_510,commutator(X_510,X_256)),X_256),multiply(inverse(X_256),Z)) = multiply(inverse(multiply(X_510,X_256)),multiply(multiply(X_510,commutator(X_510,X_256)),Z)),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_510,commutator(X_510,X_256)),X_256),multiply(inverse(X_256),Z)),multiply(inverse(multiply(X_256,multiply(X_510,commutator(X_510,X_256)))),multiply(multiply(X_510,commutator(X_510,X_256)),Z))) )],[refute_0_5186,refute_0_5191]) ).
cnf(refute_0_5193,plain,
commutator(multiply(X_510,commutator(X_510,X_256)),X_256) = commutator(X_510,X_256),
inference(subst,[],[refute_0_1592:[bind(X_127,$fot(X_256)),bind(X_128,$fot(X_510))]]) ).
cnf(refute_0_5194,plain,
multiply(commutator(multiply(X_510,commutator(X_510,X_256)),X_256),multiply(inverse(X_256),Z)) = multiply(commutator(multiply(X_510,commutator(X_510,X_256)),X_256),multiply(inverse(X_256),Z)),
introduced(tautology,[refl,[$fot(multiply(commutator(multiply(X_510,commutator(X_510,X_256)),X_256),multiply(inverse(X_256),Z)))]]) ).
cnf(refute_0_5195,plain,
( multiply(commutator(multiply(X_510,commutator(X_510,X_256)),X_256),multiply(inverse(X_256),Z)) != multiply(commutator(multiply(X_510,commutator(X_510,X_256)),X_256),multiply(inverse(X_256),Z))
| commutator(multiply(X_510,commutator(X_510,X_256)),X_256) != commutator(X_510,X_256)
| multiply(commutator(multiply(X_510,commutator(X_510,X_256)),X_256),multiply(inverse(X_256),Z)) = multiply(commutator(X_510,X_256),multiply(inverse(X_256),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(multiply(X_510,commutator(X_510,X_256)),X_256),multiply(inverse(X_256),Z)),multiply(commutator(multiply(X_510,commutator(X_510,X_256)),X_256),multiply(inverse(X_256),Z))) ),[1,0],$fot(commutator(X_510,X_256))]]) ).
cnf(refute_0_5196,plain,
( commutator(multiply(X_510,commutator(X_510,X_256)),X_256) != commutator(X_510,X_256)
| multiply(commutator(multiply(X_510,commutator(X_510,X_256)),X_256),multiply(inverse(X_256),Z)) = multiply(commutator(X_510,X_256),multiply(inverse(X_256),Z)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_510,commutator(X_510,X_256)),X_256),multiply(inverse(X_256),Z)),multiply(commutator(multiply(X_510,commutator(X_510,X_256)),X_256),multiply(inverse(X_256),Z))) )],[refute_0_5194,refute_0_5195]) ).
cnf(refute_0_5197,plain,
multiply(commutator(multiply(X_510,commutator(X_510,X_256)),X_256),multiply(inverse(X_256),Z)) = multiply(commutator(X_510,X_256),multiply(inverse(X_256),Z)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_510,commutator(X_510,X_256)),X_256),commutator(X_510,X_256)) )],[refute_0_5193,refute_0_5196]) ).
cnf(refute_0_5198,plain,
( multiply(commutator(multiply(X_510,commutator(X_510,X_256)),X_256),multiply(inverse(X_256),Z)) != multiply(commutator(X_510,X_256),multiply(inverse(X_256),Z))
| multiply(commutator(multiply(X_510,commutator(X_510,X_256)),X_256),multiply(inverse(X_256),Z)) != multiply(inverse(multiply(X_510,X_256)),multiply(multiply(X_510,commutator(X_510,X_256)),Z))
| multiply(commutator(X_510,X_256),multiply(inverse(X_256),Z)) = multiply(inverse(multiply(X_510,X_256)),multiply(multiply(X_510,commutator(X_510,X_256)),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(multiply(X_510,commutator(X_510,X_256)),X_256),multiply(inverse(X_256),Z)),multiply(inverse(multiply(X_510,X_256)),multiply(multiply(X_510,commutator(X_510,X_256)),Z))) ),[0],$fot(multiply(commutator(X_510,X_256),multiply(inverse(X_256),Z)))]]) ).
cnf(refute_0_5199,plain,
( multiply(commutator(multiply(X_510,commutator(X_510,X_256)),X_256),multiply(inverse(X_256),Z)) != multiply(inverse(multiply(X_510,X_256)),multiply(multiply(X_510,commutator(X_510,X_256)),Z))
| multiply(commutator(X_510,X_256),multiply(inverse(X_256),Z)) = multiply(inverse(multiply(X_510,X_256)),multiply(multiply(X_510,commutator(X_510,X_256)),Z)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_510,commutator(X_510,X_256)),X_256),multiply(inverse(X_256),Z)),multiply(commutator(X_510,X_256),multiply(inverse(X_256),Z))) )],[refute_0_5197,refute_0_5198]) ).
cnf(refute_0_5200,plain,
multiply(inverse(multiply(X_510,X_256)),multiply(X_510,multiply(commutator(X_510,X_256),Z))) = multiply(inverse(X_256),multiply(commutator(X_510,X_256),Z)),
inference(subst,[],[refute_0_2826:[bind(Z,$fot(multiply(commutator(X_510,X_256),Z))),bind(X_50,$fot(X_510)),bind(X_51,$fot(X_256))]]) ).
cnf(refute_0_5201,plain,
multiply(multiply(X_510,commutator(X_510,X_256)),Z) = multiply(X_510,multiply(commutator(X_510,X_256),Z)),
inference(subst,[],[associativity:[bind(X,$fot(X_510)),bind(Y,$fot(commutator(X_510,X_256)))]]) ).
cnf(refute_0_5202,plain,
multiply(inverse(multiply(X_510,X_256)),multiply(multiply(X_510,commutator(X_510,X_256)),Z)) = multiply(inverse(multiply(X_510,X_256)),multiply(multiply(X_510,commutator(X_510,X_256)),Z)),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_510,X_256)),multiply(multiply(X_510,commutator(X_510,X_256)),Z)))]]) ).
cnf(refute_0_5203,plain,
( multiply(multiply(X_510,commutator(X_510,X_256)),Z) != multiply(X_510,multiply(commutator(X_510,X_256),Z))
| multiply(inverse(multiply(X_510,X_256)),multiply(multiply(X_510,commutator(X_510,X_256)),Z)) != multiply(inverse(multiply(X_510,X_256)),multiply(multiply(X_510,commutator(X_510,X_256)),Z))
| multiply(inverse(multiply(X_510,X_256)),multiply(multiply(X_510,commutator(X_510,X_256)),Z)) = multiply(inverse(multiply(X_510,X_256)),multiply(X_510,multiply(commutator(X_510,X_256),Z))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_510,X_256)),multiply(multiply(X_510,commutator(X_510,X_256)),Z)),multiply(inverse(multiply(X_510,X_256)),multiply(multiply(X_510,commutator(X_510,X_256)),Z))) ),[1,1],$fot(multiply(X_510,multiply(commutator(X_510,X_256),Z)))]]) ).
cnf(refute_0_5204,plain,
( multiply(multiply(X_510,commutator(X_510,X_256)),Z) != multiply(X_510,multiply(commutator(X_510,X_256),Z))
| multiply(inverse(multiply(X_510,X_256)),multiply(multiply(X_510,commutator(X_510,X_256)),Z)) = multiply(inverse(multiply(X_510,X_256)),multiply(X_510,multiply(commutator(X_510,X_256),Z))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_510,X_256)),multiply(multiply(X_510,commutator(X_510,X_256)),Z)),multiply(inverse(multiply(X_510,X_256)),multiply(multiply(X_510,commutator(X_510,X_256)),Z))) )],[refute_0_5202,refute_0_5203]) ).
cnf(refute_0_5205,plain,
multiply(inverse(multiply(X_510,X_256)),multiply(multiply(X_510,commutator(X_510,X_256)),Z)) = multiply(inverse(multiply(X_510,X_256)),multiply(X_510,multiply(commutator(X_510,X_256),Z))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_510,commutator(X_510,X_256)),Z),multiply(X_510,multiply(commutator(X_510,X_256),Z))) )],[refute_0_5201,refute_0_5204]) ).
cnf(refute_0_5206,plain,
( multiply(inverse(multiply(X_510,X_256)),multiply(X_510,multiply(commutator(X_510,X_256),Z))) != multiply(inverse(X_256),multiply(commutator(X_510,X_256),Z))
| multiply(inverse(multiply(X_510,X_256)),multiply(multiply(X_510,commutator(X_510,X_256)),Z)) != multiply(inverse(multiply(X_510,X_256)),multiply(X_510,multiply(commutator(X_510,X_256),Z)))
| multiply(inverse(multiply(X_510,X_256)),multiply(multiply(X_510,commutator(X_510,X_256)),Z)) = multiply(inverse(X_256),multiply(commutator(X_510,X_256),Z)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_510,X_256)),multiply(multiply(X_510,commutator(X_510,X_256)),Z)))),bind(Y0,$fot(multiply(inverse(multiply(X_510,X_256)),multiply(X_510,multiply(commutator(X_510,X_256),Z))))),bind(Z0,$fot(multiply(inverse(X_256),multiply(commutator(X_510,X_256),Z))))]]) ).
cnf(refute_0_5207,plain,
( multiply(inverse(multiply(X_510,X_256)),multiply(X_510,multiply(commutator(X_510,X_256),Z))) != multiply(inverse(X_256),multiply(commutator(X_510,X_256),Z))
| multiply(inverse(multiply(X_510,X_256)),multiply(multiply(X_510,commutator(X_510,X_256)),Z)) = multiply(inverse(X_256),multiply(commutator(X_510,X_256),Z)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_510,X_256)),multiply(multiply(X_510,commutator(X_510,X_256)),Z)),multiply(inverse(multiply(X_510,X_256)),multiply(X_510,multiply(commutator(X_510,X_256),Z)))) )],[refute_0_5205,refute_0_5206]) ).
cnf(refute_0_5208,plain,
multiply(inverse(multiply(X_510,X_256)),multiply(multiply(X_510,commutator(X_510,X_256)),Z)) = multiply(inverse(X_256),multiply(commutator(X_510,X_256),Z)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_510,X_256)),multiply(X_510,multiply(commutator(X_510,X_256),Z))),multiply(inverse(X_256),multiply(commutator(X_510,X_256),Z))) )],[refute_0_5200,refute_0_5207]) ).
cnf(refute_0_5209,plain,
( multiply(commutator(X_510,X_256),multiply(inverse(X_256),Z)) != multiply(inverse(multiply(X_510,X_256)),multiply(multiply(X_510,commutator(X_510,X_256)),Z))
| multiply(inverse(multiply(X_510,X_256)),multiply(multiply(X_510,commutator(X_510,X_256)),Z)) != multiply(inverse(X_256),multiply(commutator(X_510,X_256),Z))
| multiply(commutator(X_510,X_256),multiply(inverse(X_256),Z)) = multiply(inverse(X_256),multiply(commutator(X_510,X_256),Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(commutator(X_510,X_256),multiply(inverse(X_256),Z)),multiply(inverse(X_256),multiply(commutator(X_510,X_256),Z))) ),[0],$fot(multiply(inverse(multiply(X_510,X_256)),multiply(multiply(X_510,commutator(X_510,X_256)),Z)))]]) ).
cnf(refute_0_5210,plain,
( multiply(commutator(X_510,X_256),multiply(inverse(X_256),Z)) != multiply(inverse(multiply(X_510,X_256)),multiply(multiply(X_510,commutator(X_510,X_256)),Z))
| multiply(commutator(X_510,X_256),multiply(inverse(X_256),Z)) = multiply(inverse(X_256),multiply(commutator(X_510,X_256),Z)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_510,X_256)),multiply(multiply(X_510,commutator(X_510,X_256)),Z)),multiply(inverse(X_256),multiply(commutator(X_510,X_256),Z))) )],[refute_0_5208,refute_0_5209]) ).
cnf(refute_0_5211,plain,
( multiply(commutator(multiply(X_510,commutator(X_510,X_256)),X_256),multiply(inverse(X_256),Z)) != multiply(inverse(multiply(X_510,X_256)),multiply(multiply(X_510,commutator(X_510,X_256)),Z))
| multiply(commutator(X_510,X_256),multiply(inverse(X_256),Z)) = multiply(inverse(X_256),multiply(commutator(X_510,X_256),Z)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_510,X_256),multiply(inverse(X_256),Z)),multiply(inverse(multiply(X_510,X_256)),multiply(multiply(X_510,commutator(X_510,X_256)),Z))) )],[refute_0_5199,refute_0_5210]) ).
cnf(refute_0_5212,plain,
multiply(commutator(X_510,X_256),multiply(inverse(X_256),Z)) = multiply(inverse(X_256),multiply(commutator(X_510,X_256),Z)),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_510,commutator(X_510,X_256)),X_256),multiply(inverse(X_256),Z)),multiply(inverse(multiply(X_510,X_256)),multiply(multiply(X_510,commutator(X_510,X_256)),Z))) )],[refute_0_5192,refute_0_5211]) ).
cnf(refute_0_5213,plain,
multiply(commutator(X_506,X_109),multiply(inverse(X_109),multiply(commutator(X_506,X_109),X_505))) = multiply(inverse(X_109),multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505))),
inference(subst,[],[refute_0_5212:[bind(Z,$fot(multiply(commutator(X_506,X_109),X_505))),bind(X_256,$fot(X_109)),bind(X_510,$fot(X_506))]]) ).
cnf(refute_0_5214,plain,
multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505)) = multiply(inverse(X_109),multiply(commutator(X_506,X_109),X_505)),
inference(subst,[],[refute_0_5212:[bind(Z,$fot(X_505)),bind(X_256,$fot(X_109)),bind(X_510,$fot(X_506))]]) ).
cnf(refute_0_5215,plain,
multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505))) = multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505))),
introduced(tautology,[refl,[$fot(multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505))))]]) ).
cnf(refute_0_5216,plain,
( multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505))) != multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505)))
| multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505)) != multiply(inverse(X_109),multiply(commutator(X_506,X_109),X_505))
| multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505))) = multiply(commutator(X_506,X_109),multiply(inverse(X_109),multiply(commutator(X_506,X_109),X_505))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505))),multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505)))) ),[1,1],$fot(multiply(inverse(X_109),multiply(commutator(X_506,X_109),X_505)))]]) ).
cnf(refute_0_5217,plain,
( multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505)) != multiply(inverse(X_109),multiply(commutator(X_506,X_109),X_505))
| multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505))) = multiply(commutator(X_506,X_109),multiply(inverse(X_109),multiply(commutator(X_506,X_109),X_505))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505))),multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505)))) )],[refute_0_5215,refute_0_5216]) ).
cnf(refute_0_5218,plain,
multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505))) = multiply(commutator(X_506,X_109),multiply(inverse(X_109),multiply(commutator(X_506,X_109),X_505))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505)),multiply(inverse(X_109),multiply(commutator(X_506,X_109),X_505))) )],[refute_0_5214,refute_0_5217]) ).
cnf(refute_0_5219,plain,
( multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505))) != multiply(commutator(X_506,X_109),multiply(inverse(X_109),multiply(commutator(X_506,X_109),X_505)))
| multiply(commutator(X_506,X_109),multiply(inverse(X_109),multiply(commutator(X_506,X_109),X_505))) != multiply(inverse(X_109),multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505)))
| multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505))) = multiply(inverse(X_109),multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505))))),bind(Y0,$fot(multiply(commutator(X_506,X_109),multiply(inverse(X_109),multiply(commutator(X_506,X_109),X_505))))),bind(Z0,$fot(multiply(inverse(X_109),multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505)))))]]) ).
cnf(refute_0_5220,plain,
( multiply(commutator(X_506,X_109),multiply(inverse(X_109),multiply(commutator(X_506,X_109),X_505))) != multiply(inverse(X_109),multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505)))
| multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505))) = multiply(inverse(X_109),multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505))),multiply(commutator(X_506,X_109),multiply(inverse(X_109),multiply(commutator(X_506,X_109),X_505)))) )],[refute_0_5218,refute_0_5219]) ).
cnf(refute_0_5221,plain,
multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505))) = multiply(inverse(X_109),multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_506,X_109),multiply(inverse(X_109),multiply(commutator(X_506,X_109),X_505))),multiply(inverse(X_109),multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505)))) )],[refute_0_5213,refute_0_5220]) ).
cnf(refute_0_5222,plain,
( multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505))) != multiply(inverse(X_109),multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505)))
| multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505))) != multiply(inverse(multiply(X_109,multiply(X_506,commutator(X_109,X_506)))),multiply(X_506,X_505))
| multiply(inverse(X_109),multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505))) = multiply(inverse(multiply(X_109,multiply(X_506,commutator(X_109,X_506)))),multiply(X_506,X_505)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505))),multiply(inverse(multiply(X_109,multiply(X_506,commutator(X_109,X_506)))),multiply(X_506,X_505))) ),[0],$fot(multiply(inverse(X_109),multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505))))]]) ).
cnf(refute_0_5223,plain,
( multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505))) != multiply(inverse(multiply(X_109,multiply(X_506,commutator(X_109,X_506)))),multiply(X_506,X_505))
| multiply(inverse(X_109),multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505))) = multiply(inverse(multiply(X_109,multiply(X_506,commutator(X_109,X_506)))),multiply(X_506,X_505)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505))),multiply(inverse(X_109),multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505)))) )],[refute_0_5221,refute_0_5222]) ).
cnf(refute_0_5224,plain,
multiply(inverse(X_109),multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505))) = multiply(inverse(multiply(X_109,multiply(X_506,commutator(X_109,X_506)))),multiply(X_506,X_505)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),multiply(inverse(X_109),X_505))),multiply(inverse(multiply(X_109,multiply(X_506,commutator(X_109,X_506)))),multiply(X_506,X_505))) )],[refute_0_5185,refute_0_5223]) ).
cnf(refute_0_5225,plain,
multiply(inverse(multiply(commutator(X_571,X_50),multiply(inverse(X_570),multiply(X_571,X_570)))),Z) = multiply(inverse(multiply(X_50,multiply(commutator(X_571,X_50),multiply(inverse(X_570),multiply(X_571,X_570))))),multiply(X_50,Z)),
inference(subst,[],[refute_0_677:[bind(X_51,$fot(multiply(commutator(X_571,X_50),multiply(inverse(X_570),multiply(X_571,X_570)))))]]) ).
cnf(refute_0_5226,plain,
multiply(commutator(X_255,X_256),inverse(multiply(X_256,X_10))) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(X_256,X_10))))),
inference(subst,[],[refute_0_246:[bind(X,$fot(X_255)),bind(Y,$fot(X_256)),bind(X_11,$fot(inverse(multiply(X_256,X_10))))]]) ).
cnf(refute_0_5227,plain,
multiply(X_256,inverse(multiply(X_256,X_10))) = inverse(multiply(X_10,commutator(X_256,X_10))),
inference(subst,[],[refute_0_598:[bind(X_58,$fot(X_256))]]) ).
cnf(refute_0_5228,plain,
( multiply(X_256,inverse(multiply(X_256,X_10))) != inverse(multiply(X_10,commutator(X_256,X_10)))
| multiply(commutator(X_255,X_256),inverse(multiply(X_256,X_10))) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(X_256,X_10)))))
| multiply(commutator(X_255,X_256),inverse(multiply(X_256,X_10))) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,inverse(multiply(X_10,commutator(X_256,X_10))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_255,X_256),inverse(multiply(X_256,X_10))),multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(X_256,X_10)))))) ),[1,1,1],$fot(inverse(multiply(X_10,commutator(X_256,X_10))))]]) ).
cnf(refute_0_5229,plain,
( multiply(commutator(X_255,X_256),inverse(multiply(X_256,X_10))) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(X_256,X_10)))))
| multiply(commutator(X_255,X_256),inverse(multiply(X_256,X_10))) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,inverse(multiply(X_10,commutator(X_256,X_10))))) ),
inference(resolve,[$cnf( $equal(multiply(X_256,inverse(multiply(X_256,X_10))),inverse(multiply(X_10,commutator(X_256,X_10)))) )],[refute_0_5227,refute_0_5228]) ).
cnf(refute_0_5230,plain,
multiply(commutator(X_255,X_256),inverse(multiply(X_256,X_10))) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,inverse(multiply(X_10,commutator(X_256,X_10))))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,X_256),inverse(multiply(X_256,X_10))),multiply(inverse(multiply(X_256,X_255)),multiply(X_255,multiply(X_256,inverse(multiply(X_256,X_10)))))) )],[refute_0_5226,refute_0_5229]) ).
cnf(refute_0_5231,plain,
multiply(multiply(X_256,X_10),commutator(X_256,X_255)) = multiply(X_256,multiply(X_10,commutator(X_256,X_255))),
inference(subst,[],[associativity:[bind(X,$fot(X_256)),bind(Y,$fot(X_10)),bind(Z,$fot(commutator(X_256,X_255)))]]) ).
cnf(refute_0_5232,plain,
inverse(multiply(multiply(X_256,X_10),commutator(X_256,X_255))) = inverse(multiply(multiply(X_256,X_10),commutator(X_256,X_255))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_256,X_10),commutator(X_256,X_255))))]]) ).
cnf(refute_0_5233,plain,
( multiply(multiply(X_256,X_10),commutator(X_256,X_255)) != multiply(X_256,multiply(X_10,commutator(X_256,X_255)))
| inverse(multiply(multiply(X_256,X_10),commutator(X_256,X_255))) != inverse(multiply(multiply(X_256,X_10),commutator(X_256,X_255)))
| inverse(multiply(multiply(X_256,X_10),commutator(X_256,X_255))) = inverse(multiply(X_256,multiply(X_10,commutator(X_256,X_255)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_256,X_10),commutator(X_256,X_255))),inverse(multiply(multiply(X_256,X_10),commutator(X_256,X_255)))) ),[1,0],$fot(multiply(X_256,multiply(X_10,commutator(X_256,X_255))))]]) ).
cnf(refute_0_5234,plain,
( multiply(multiply(X_256,X_10),commutator(X_256,X_255)) != multiply(X_256,multiply(X_10,commutator(X_256,X_255)))
| inverse(multiply(multiply(X_256,X_10),commutator(X_256,X_255))) = inverse(multiply(X_256,multiply(X_10,commutator(X_256,X_255)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_256,X_10),commutator(X_256,X_255))),inverse(multiply(multiply(X_256,X_10),commutator(X_256,X_255)))) )],[refute_0_5232,refute_0_5233]) ).
cnf(refute_0_5235,plain,
inverse(multiply(multiply(X_256,X_10),commutator(X_256,X_255))) = inverse(multiply(X_256,multiply(X_10,commutator(X_256,X_255)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_256,X_10),commutator(X_256,X_255)),multiply(X_256,multiply(X_10,commutator(X_256,X_255)))) )],[refute_0_5231,refute_0_5234]) ).
cnf(refute_0_5236,plain,
multiply(commutator(X_255,X_256),inverse(multiply(X_256,X_10))) = inverse(multiply(multiply(X_256,X_10),commutator(X_256,X_255))),
inference(subst,[],[refute_0_378:[bind(X_58,$fot(multiply(X_256,X_10))),bind(X_65,$fot(X_255)),bind(X_66,$fot(X_256))]]) ).
cnf(refute_0_5237,plain,
( multiply(commutator(X_255,X_256),inverse(multiply(X_256,X_10))) != inverse(multiply(multiply(X_256,X_10),commutator(X_256,X_255)))
| inverse(multiply(multiply(X_256,X_10),commutator(X_256,X_255))) != inverse(multiply(X_256,multiply(X_10,commutator(X_256,X_255))))
| multiply(commutator(X_255,X_256),inverse(multiply(X_256,X_10))) = inverse(multiply(X_256,multiply(X_10,commutator(X_256,X_255)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_255,X_256),inverse(multiply(X_256,X_10))))),bind(Y0,$fot(inverse(multiply(multiply(X_256,X_10),commutator(X_256,X_255))))),bind(Z0,$fot(inverse(multiply(X_256,multiply(X_10,commutator(X_256,X_255))))))]]) ).
cnf(refute_0_5238,plain,
( inverse(multiply(multiply(X_256,X_10),commutator(X_256,X_255))) != inverse(multiply(X_256,multiply(X_10,commutator(X_256,X_255))))
| multiply(commutator(X_255,X_256),inverse(multiply(X_256,X_10))) = inverse(multiply(X_256,multiply(X_10,commutator(X_256,X_255)))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,X_256),inverse(multiply(X_256,X_10))),inverse(multiply(multiply(X_256,X_10),commutator(X_256,X_255)))) )],[refute_0_5236,refute_0_5237]) ).
cnf(refute_0_5239,plain,
multiply(commutator(X_255,X_256),inverse(multiply(X_256,X_10))) = inverse(multiply(X_256,multiply(X_10,commutator(X_256,X_255)))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_256,X_10),commutator(X_256,X_255))),inverse(multiply(X_256,multiply(X_10,commutator(X_256,X_255))))) )],[refute_0_5235,refute_0_5238]) ).
cnf(refute_0_5240,plain,
( multiply(commutator(X_255,X_256),inverse(multiply(X_256,X_10))) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,inverse(multiply(X_10,commutator(X_256,X_10)))))
| multiply(commutator(X_255,X_256),inverse(multiply(X_256,X_10))) != inverse(multiply(X_256,multiply(X_10,commutator(X_256,X_255))))
| inverse(multiply(X_256,multiply(X_10,commutator(X_256,X_255)))) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,inverse(multiply(X_10,commutator(X_256,X_10))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_255,X_256),inverse(multiply(X_256,X_10))),multiply(inverse(multiply(X_256,X_255)),multiply(X_255,inverse(multiply(X_10,commutator(X_256,X_10)))))) ),[0],$fot(inverse(multiply(X_256,multiply(X_10,commutator(X_256,X_255)))))]]) ).
cnf(refute_0_5241,plain,
( multiply(commutator(X_255,X_256),inverse(multiply(X_256,X_10))) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,inverse(multiply(X_10,commutator(X_256,X_10)))))
| inverse(multiply(X_256,multiply(X_10,commutator(X_256,X_255)))) = multiply(inverse(multiply(X_256,X_255)),multiply(X_255,inverse(multiply(X_10,commutator(X_256,X_10))))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,X_256),inverse(multiply(X_256,X_10))),inverse(multiply(X_256,multiply(X_10,commutator(X_256,X_255))))) )],[refute_0_5239,refute_0_5240]) ).
cnf(refute_0_5242,plain,
multiply(multiply(X_10,commutator(X_256,X_10)),multiply(inverse(X_255),multiply(X_256,X_255))) = multiply(X_10,multiply(commutator(X_256,X_10),multiply(inverse(X_255),multiply(X_256,X_255)))),
inference(subst,[],[associativity:[bind(X,$fot(X_10)),bind(Y,$fot(commutator(X_256,X_10))),bind(Z,$fot(multiply(inverse(X_255),multiply(X_256,X_255))))]]) ).
cnf(refute_0_5243,plain,
inverse(multiply(multiply(X_10,commutator(X_256,X_10)),multiply(inverse(X_255),multiply(X_256,X_255)))) = inverse(multiply(multiply(X_10,commutator(X_256,X_10)),multiply(inverse(X_255),multiply(X_256,X_255)))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_10,commutator(X_256,X_10)),multiply(inverse(X_255),multiply(X_256,X_255)))))]]) ).
cnf(refute_0_5244,plain,
( multiply(multiply(X_10,commutator(X_256,X_10)),multiply(inverse(X_255),multiply(X_256,X_255))) != multiply(X_10,multiply(commutator(X_256,X_10),multiply(inverse(X_255),multiply(X_256,X_255))))
| inverse(multiply(multiply(X_10,commutator(X_256,X_10)),multiply(inverse(X_255),multiply(X_256,X_255)))) != inverse(multiply(multiply(X_10,commutator(X_256,X_10)),multiply(inverse(X_255),multiply(X_256,X_255))))
| inverse(multiply(multiply(X_10,commutator(X_256,X_10)),multiply(inverse(X_255),multiply(X_256,X_255)))) = inverse(multiply(X_10,multiply(commutator(X_256,X_10),multiply(inverse(X_255),multiply(X_256,X_255))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_10,commutator(X_256,X_10)),multiply(inverse(X_255),multiply(X_256,X_255)))),inverse(multiply(multiply(X_10,commutator(X_256,X_10)),multiply(inverse(X_255),multiply(X_256,X_255))))) ),[1,0],$fot(multiply(X_10,multiply(commutator(X_256,X_10),multiply(inverse(X_255),multiply(X_256,X_255)))))]]) ).
cnf(refute_0_5245,plain,
( multiply(multiply(X_10,commutator(X_256,X_10)),multiply(inverse(X_255),multiply(X_256,X_255))) != multiply(X_10,multiply(commutator(X_256,X_10),multiply(inverse(X_255),multiply(X_256,X_255))))
| inverse(multiply(multiply(X_10,commutator(X_256,X_10)),multiply(inverse(X_255),multiply(X_256,X_255)))) = inverse(multiply(X_10,multiply(commutator(X_256,X_10),multiply(inverse(X_255),multiply(X_256,X_255))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_10,commutator(X_256,X_10)),multiply(inverse(X_255),multiply(X_256,X_255)))),inverse(multiply(multiply(X_10,commutator(X_256,X_10)),multiply(inverse(X_255),multiply(X_256,X_255))))) )],[refute_0_5243,refute_0_5244]) ).
cnf(refute_0_5246,plain,
inverse(multiply(multiply(X_10,commutator(X_256,X_10)),multiply(inverse(X_255),multiply(X_256,X_255)))) = inverse(multiply(X_10,multiply(commutator(X_256,X_10),multiply(inverse(X_255),multiply(X_256,X_255))))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_10,commutator(X_256,X_10)),multiply(inverse(X_255),multiply(X_256,X_255))),multiply(X_10,multiply(commutator(X_256,X_10),multiply(inverse(X_255),multiply(X_256,X_255))))) )],[refute_0_5242,refute_0_5245]) ).
cnf(refute_0_5247,plain,
multiply(inverse(multiply(X_256,X_255)),multiply(X_255,inverse(multiply(X_10,commutator(X_256,X_10))))) = inverse(multiply(multiply(X_10,commutator(X_256,X_10)),multiply(inverse(X_255),multiply(X_256,X_255)))),
inference(subst,[],[refute_0_1684:[bind(X_58,$fot(multiply(X_10,commutator(X_256,X_10)))),bind(X_73,$fot(multiply(X_256,X_255))),bind(X_74,$fot(X_255))]]) ).
cnf(refute_0_5248,plain,
( multiply(inverse(multiply(X_256,X_255)),multiply(X_255,inverse(multiply(X_10,commutator(X_256,X_10))))) != inverse(multiply(multiply(X_10,commutator(X_256,X_10)),multiply(inverse(X_255),multiply(X_256,X_255))))
| inverse(multiply(multiply(X_10,commutator(X_256,X_10)),multiply(inverse(X_255),multiply(X_256,X_255)))) != inverse(multiply(X_10,multiply(commutator(X_256,X_10),multiply(inverse(X_255),multiply(X_256,X_255)))))
| multiply(inverse(multiply(X_256,X_255)),multiply(X_255,inverse(multiply(X_10,commutator(X_256,X_10))))) = inverse(multiply(X_10,multiply(commutator(X_256,X_10),multiply(inverse(X_255),multiply(X_256,X_255))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_256,X_255)),multiply(X_255,inverse(multiply(X_10,commutator(X_256,X_10))))))),bind(Y0,$fot(inverse(multiply(multiply(X_10,commutator(X_256,X_10)),multiply(inverse(X_255),multiply(X_256,X_255)))))),bind(Z0,$fot(inverse(multiply(X_10,multiply(commutator(X_256,X_10),multiply(inverse(X_255),multiply(X_256,X_255)))))))]]) ).
cnf(refute_0_5249,plain,
( inverse(multiply(multiply(X_10,commutator(X_256,X_10)),multiply(inverse(X_255),multiply(X_256,X_255)))) != inverse(multiply(X_10,multiply(commutator(X_256,X_10),multiply(inverse(X_255),multiply(X_256,X_255)))))
| multiply(inverse(multiply(X_256,X_255)),multiply(X_255,inverse(multiply(X_10,commutator(X_256,X_10))))) = inverse(multiply(X_10,multiply(commutator(X_256,X_10),multiply(inverse(X_255),multiply(X_256,X_255))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_256,X_255)),multiply(X_255,inverse(multiply(X_10,commutator(X_256,X_10))))),inverse(multiply(multiply(X_10,commutator(X_256,X_10)),multiply(inverse(X_255),multiply(X_256,X_255))))) )],[refute_0_5247,refute_0_5248]) ).
cnf(refute_0_5250,plain,
multiply(inverse(multiply(X_256,X_255)),multiply(X_255,inverse(multiply(X_10,commutator(X_256,X_10))))) = inverse(multiply(X_10,multiply(commutator(X_256,X_10),multiply(inverse(X_255),multiply(X_256,X_255))))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_10,commutator(X_256,X_10)),multiply(inverse(X_255),multiply(X_256,X_255)))),inverse(multiply(X_10,multiply(commutator(X_256,X_10),multiply(inverse(X_255),multiply(X_256,X_255)))))) )],[refute_0_5246,refute_0_5249]) ).
cnf(refute_0_5251,plain,
( multiply(inverse(multiply(X_256,X_255)),multiply(X_255,inverse(multiply(X_10,commutator(X_256,X_10))))) != inverse(multiply(X_10,multiply(commutator(X_256,X_10),multiply(inverse(X_255),multiply(X_256,X_255)))))
| inverse(multiply(X_256,multiply(X_10,commutator(X_256,X_255)))) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,inverse(multiply(X_10,commutator(X_256,X_10)))))
| inverse(multiply(X_256,multiply(X_10,commutator(X_256,X_255)))) = inverse(multiply(X_10,multiply(commutator(X_256,X_10),multiply(inverse(X_255),multiply(X_256,X_255))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_256,multiply(X_10,commutator(X_256,X_255)))),multiply(inverse(multiply(X_256,X_255)),multiply(X_255,inverse(multiply(X_10,commutator(X_256,X_10)))))) ),[1],$fot(inverse(multiply(X_10,multiply(commutator(X_256,X_10),multiply(inverse(X_255),multiply(X_256,X_255))))))]]) ).
cnf(refute_0_5252,plain,
( inverse(multiply(X_256,multiply(X_10,commutator(X_256,X_255)))) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,inverse(multiply(X_10,commutator(X_256,X_10)))))
| inverse(multiply(X_256,multiply(X_10,commutator(X_256,X_255)))) = inverse(multiply(X_10,multiply(commutator(X_256,X_10),multiply(inverse(X_255),multiply(X_256,X_255))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_256,X_255)),multiply(X_255,inverse(multiply(X_10,commutator(X_256,X_10))))),inverse(multiply(X_10,multiply(commutator(X_256,X_10),multiply(inverse(X_255),multiply(X_256,X_255)))))) )],[refute_0_5250,refute_0_5251]) ).
cnf(refute_0_5253,plain,
( multiply(commutator(X_255,X_256),inverse(multiply(X_256,X_10))) != multiply(inverse(multiply(X_256,X_255)),multiply(X_255,inverse(multiply(X_10,commutator(X_256,X_10)))))
| inverse(multiply(X_256,multiply(X_10,commutator(X_256,X_255)))) = inverse(multiply(X_10,multiply(commutator(X_256,X_10),multiply(inverse(X_255),multiply(X_256,X_255))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_256,multiply(X_10,commutator(X_256,X_255)))),multiply(inverse(multiply(X_256,X_255)),multiply(X_255,inverse(multiply(X_10,commutator(X_256,X_10)))))) )],[refute_0_5241,refute_0_5252]) ).
cnf(refute_0_5254,plain,
inverse(multiply(X_256,multiply(X_10,commutator(X_256,X_255)))) = inverse(multiply(X_10,multiply(commutator(X_256,X_10),multiply(inverse(X_255),multiply(X_256,X_255))))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,X_256),inverse(multiply(X_256,X_10))),multiply(inverse(multiply(X_256,X_255)),multiply(X_255,inverse(multiply(X_10,commutator(X_256,X_10)))))) )],[refute_0_5230,refute_0_5253]) ).
cnf(refute_0_5255,plain,
inverse(multiply(X_571,multiply(X_50,commutator(X_571,X_570)))) = inverse(multiply(X_50,multiply(commutator(X_571,X_50),multiply(inverse(X_570),multiply(X_571,X_570))))),
inference(subst,[],[refute_0_5254:[bind(X_10,$fot(X_50)),bind(X_255,$fot(X_570)),bind(X_256,$fot(X_571))]]) ).
cnf(refute_0_5256,plain,
( inverse(multiply(X_571,multiply(X_50,commutator(X_571,X_570)))) != inverse(multiply(X_50,multiply(commutator(X_571,X_50),multiply(inverse(X_570),multiply(X_571,X_570)))))
| inverse(multiply(X_50,multiply(commutator(X_571,X_50),multiply(inverse(X_570),multiply(X_571,X_570))))) = inverse(multiply(X_571,multiply(X_50,commutator(X_571,X_570)))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(inverse(multiply(X_571,multiply(X_50,commutator(X_571,X_570)))))),bind(Y0,$fot(inverse(multiply(X_50,multiply(commutator(X_571,X_50),multiply(inverse(X_570),multiply(X_571,X_570)))))))]]) ).
cnf(refute_0_5257,plain,
inverse(multiply(X_50,multiply(commutator(X_571,X_50),multiply(inverse(X_570),multiply(X_571,X_570))))) = inverse(multiply(X_571,multiply(X_50,commutator(X_571,X_570)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_571,multiply(X_50,commutator(X_571,X_570)))),inverse(multiply(X_50,multiply(commutator(X_571,X_50),multiply(inverse(X_570),multiply(X_571,X_570)))))) )],[refute_0_5255,refute_0_5256]) ).
cnf(refute_0_5258,plain,
( multiply(inverse(multiply(commutator(X_571,X_50),multiply(inverse(X_570),multiply(X_571,X_570)))),Z) != multiply(inverse(multiply(X_50,multiply(commutator(X_571,X_50),multiply(inverse(X_570),multiply(X_571,X_570))))),multiply(X_50,Z))
| inverse(multiply(X_50,multiply(commutator(X_571,X_50),multiply(inverse(X_570),multiply(X_571,X_570))))) != inverse(multiply(X_571,multiply(X_50,commutator(X_571,X_570))))
| multiply(inverse(multiply(commutator(X_571,X_50),multiply(inverse(X_570),multiply(X_571,X_570)))),Z) = multiply(inverse(multiply(X_571,multiply(X_50,commutator(X_571,X_570)))),multiply(X_50,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(commutator(X_571,X_50),multiply(inverse(X_570),multiply(X_571,X_570)))),Z),multiply(inverse(multiply(X_50,multiply(commutator(X_571,X_50),multiply(inverse(X_570),multiply(X_571,X_570))))),multiply(X_50,Z))) ),[1,0],$fot(inverse(multiply(X_571,multiply(X_50,commutator(X_571,X_570)))))]]) ).
cnf(refute_0_5259,plain,
( multiply(inverse(multiply(commutator(X_571,X_50),multiply(inverse(X_570),multiply(X_571,X_570)))),Z) != multiply(inverse(multiply(X_50,multiply(commutator(X_571,X_50),multiply(inverse(X_570),multiply(X_571,X_570))))),multiply(X_50,Z))
| multiply(inverse(multiply(commutator(X_571,X_50),multiply(inverse(X_570),multiply(X_571,X_570)))),Z) = multiply(inverse(multiply(X_571,multiply(X_50,commutator(X_571,X_570)))),multiply(X_50,Z)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_50,multiply(commutator(X_571,X_50),multiply(inverse(X_570),multiply(X_571,X_570))))),inverse(multiply(X_571,multiply(X_50,commutator(X_571,X_570))))) )],[refute_0_5257,refute_0_5258]) ).
cnf(refute_0_5260,plain,
multiply(inverse(multiply(commutator(X_571,X_50),multiply(inverse(X_570),multiply(X_571,X_570)))),Z) = multiply(inverse(multiply(X_571,multiply(X_50,commutator(X_571,X_570)))),multiply(X_50,Z)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(commutator(X_571,X_50),multiply(inverse(X_570),multiply(X_571,X_570)))),Z),multiply(inverse(multiply(X_50,multiply(commutator(X_571,X_50),multiply(inverse(X_570),multiply(X_571,X_570))))),multiply(X_50,Z))) )],[refute_0_5225,refute_0_5259]) ).
cnf(refute_0_5261,plain,
multiply(multiply(inverse(multiply(X_571,X_570)),X_570),multiply(commutator(X_50,X_571),Z)) = multiply(inverse(multiply(X_571,X_570)),multiply(X_570,multiply(commutator(X_50,X_571),Z))),
inference(subst,[],[associativity:[bind(X,$fot(inverse(multiply(X_571,X_570)))),bind(Y,$fot(X_570)),bind(Z,$fot(multiply(commutator(X_50,X_571),Z)))]]) ).
cnf(refute_0_5262,plain,
inverse(multiply(inverse(X_570),multiply(X_571,X_570))) = multiply(inverse(multiply(X_571,X_570)),X_570),
inference(subst,[],[refute_0_294:[bind(Z,$fot(multiply(X_571,X_570))),bind(X_61,$fot(X_570))]]) ).
cnf(refute_0_5263,plain,
multiply(inverse(multiply(inverse(X_570),multiply(X_571,X_570))),multiply(commutator(X_50,X_571),Z)) = multiply(inverse(multiply(inverse(X_570),multiply(X_571,X_570))),multiply(commutator(X_50,X_571),Z)),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(inverse(X_570),multiply(X_571,X_570))),multiply(commutator(X_50,X_571),Z)))]]) ).
cnf(refute_0_5264,plain,
( multiply(inverse(multiply(inverse(X_570),multiply(X_571,X_570))),multiply(commutator(X_50,X_571),Z)) != multiply(inverse(multiply(inverse(X_570),multiply(X_571,X_570))),multiply(commutator(X_50,X_571),Z))
| inverse(multiply(inverse(X_570),multiply(X_571,X_570))) != multiply(inverse(multiply(X_571,X_570)),X_570)
| multiply(inverse(multiply(inverse(X_570),multiply(X_571,X_570))),multiply(commutator(X_50,X_571),Z)) = multiply(multiply(inverse(multiply(X_571,X_570)),X_570),multiply(commutator(X_50,X_571),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_570),multiply(X_571,X_570))),multiply(commutator(X_50,X_571),Z)),multiply(inverse(multiply(inverse(X_570),multiply(X_571,X_570))),multiply(commutator(X_50,X_571),Z))) ),[1,0],$fot(multiply(inverse(multiply(X_571,X_570)),X_570))]]) ).
cnf(refute_0_5265,plain,
( inverse(multiply(inverse(X_570),multiply(X_571,X_570))) != multiply(inverse(multiply(X_571,X_570)),X_570)
| multiply(inverse(multiply(inverse(X_570),multiply(X_571,X_570))),multiply(commutator(X_50,X_571),Z)) = multiply(multiply(inverse(multiply(X_571,X_570)),X_570),multiply(commutator(X_50,X_571),Z)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_570),multiply(X_571,X_570))),multiply(commutator(X_50,X_571),Z)),multiply(inverse(multiply(inverse(X_570),multiply(X_571,X_570))),multiply(commutator(X_50,X_571),Z))) )],[refute_0_5263,refute_0_5264]) ).
cnf(refute_0_5266,plain,
multiply(inverse(multiply(inverse(X_570),multiply(X_571,X_570))),multiply(commutator(X_50,X_571),Z)) = multiply(multiply(inverse(multiply(X_571,X_570)),X_570),multiply(commutator(X_50,X_571),Z)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_570),multiply(X_571,X_570))),multiply(inverse(multiply(X_571,X_570)),X_570)) )],[refute_0_5262,refute_0_5265]) ).
cnf(refute_0_5267,plain,
( multiply(multiply(inverse(multiply(X_571,X_570)),X_570),multiply(commutator(X_50,X_571),Z)) != multiply(inverse(multiply(X_571,X_570)),multiply(X_570,multiply(commutator(X_50,X_571),Z)))
| multiply(inverse(multiply(inverse(X_570),multiply(X_571,X_570))),multiply(commutator(X_50,X_571),Z)) != multiply(multiply(inverse(multiply(X_571,X_570)),X_570),multiply(commutator(X_50,X_571),Z))
| multiply(inverse(multiply(inverse(X_570),multiply(X_571,X_570))),multiply(commutator(X_50,X_571),Z)) = multiply(inverse(multiply(X_571,X_570)),multiply(X_570,multiply(commutator(X_50,X_571),Z))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(inverse(X_570),multiply(X_571,X_570))),multiply(commutator(X_50,X_571),Z)))),bind(Y0,$fot(multiply(multiply(inverse(multiply(X_571,X_570)),X_570),multiply(commutator(X_50,X_571),Z)))),bind(Z0,$fot(multiply(inverse(multiply(X_571,X_570)),multiply(X_570,multiply(commutator(X_50,X_571),Z)))))]]) ).
cnf(refute_0_5268,plain,
( multiply(multiply(inverse(multiply(X_571,X_570)),X_570),multiply(commutator(X_50,X_571),Z)) != multiply(inverse(multiply(X_571,X_570)),multiply(X_570,multiply(commutator(X_50,X_571),Z)))
| multiply(inverse(multiply(inverse(X_570),multiply(X_571,X_570))),multiply(commutator(X_50,X_571),Z)) = multiply(inverse(multiply(X_571,X_570)),multiply(X_570,multiply(commutator(X_50,X_571),Z))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_570),multiply(X_571,X_570))),multiply(commutator(X_50,X_571),Z)),multiply(multiply(inverse(multiply(X_571,X_570)),X_570),multiply(commutator(X_50,X_571),Z))) )],[refute_0_5266,refute_0_5267]) ).
cnf(refute_0_5269,plain,
multiply(inverse(multiply(inverse(X_570),multiply(X_571,X_570))),multiply(commutator(X_50,X_571),Z)) = multiply(inverse(multiply(X_571,X_570)),multiply(X_570,multiply(commutator(X_50,X_571),Z))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(X_571,X_570)),X_570),multiply(commutator(X_50,X_571),Z)),multiply(inverse(multiply(X_571,X_570)),multiply(X_570,multiply(commutator(X_50,X_571),Z)))) )],[refute_0_5261,refute_0_5268]) ).
cnf(refute_0_5270,plain,
multiply(inverse(multiply(commutator(X_571,X_50),multiply(inverse(X_570),multiply(X_571,X_570)))),Z) = multiply(inverse(multiply(inverse(X_570),multiply(X_571,X_570))),multiply(commutator(X_50,X_571),Z)),
inference(subst,[],[refute_0_684:[bind(X_353,$fot(multiply(inverse(X_570),multiply(X_571,X_570)))),bind(X_354,$fot(X_571)),bind(X_355,$fot(X_50))]]) ).
cnf(refute_0_5271,plain,
( multiply(inverse(multiply(commutator(X_571,X_50),multiply(inverse(X_570),multiply(X_571,X_570)))),Z) != multiply(inverse(multiply(inverse(X_570),multiply(X_571,X_570))),multiply(commutator(X_50,X_571),Z))
| multiply(inverse(multiply(inverse(X_570),multiply(X_571,X_570))),multiply(commutator(X_50,X_571),Z)) != multiply(inverse(multiply(X_571,X_570)),multiply(X_570,multiply(commutator(X_50,X_571),Z)))
| multiply(inverse(multiply(commutator(X_571,X_50),multiply(inverse(X_570),multiply(X_571,X_570)))),Z) = multiply(inverse(multiply(X_571,X_570)),multiply(X_570,multiply(commutator(X_50,X_571),Z))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(commutator(X_571,X_50),multiply(inverse(X_570),multiply(X_571,X_570)))),Z))),bind(Y0,$fot(multiply(inverse(multiply(inverse(X_570),multiply(X_571,X_570))),multiply(commutator(X_50,X_571),Z)))),bind(Z0,$fot(multiply(inverse(multiply(X_571,X_570)),multiply(X_570,multiply(commutator(X_50,X_571),Z)))))]]) ).
cnf(refute_0_5272,plain,
( multiply(inverse(multiply(inverse(X_570),multiply(X_571,X_570))),multiply(commutator(X_50,X_571),Z)) != multiply(inverse(multiply(X_571,X_570)),multiply(X_570,multiply(commutator(X_50,X_571),Z)))
| multiply(inverse(multiply(commutator(X_571,X_50),multiply(inverse(X_570),multiply(X_571,X_570)))),Z) = multiply(inverse(multiply(X_571,X_570)),multiply(X_570,multiply(commutator(X_50,X_571),Z))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(commutator(X_571,X_50),multiply(inverse(X_570),multiply(X_571,X_570)))),Z),multiply(inverse(multiply(inverse(X_570),multiply(X_571,X_570))),multiply(commutator(X_50,X_571),Z))) )],[refute_0_5270,refute_0_5271]) ).
cnf(refute_0_5273,plain,
multiply(inverse(multiply(commutator(X_571,X_50),multiply(inverse(X_570),multiply(X_571,X_570)))),Z) = multiply(inverse(multiply(X_571,X_570)),multiply(X_570,multiply(commutator(X_50,X_571),Z))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_570),multiply(X_571,X_570))),multiply(commutator(X_50,X_571),Z)),multiply(inverse(multiply(X_571,X_570)),multiply(X_570,multiply(commutator(X_50,X_571),Z)))) )],[refute_0_5269,refute_0_5272]) ).
cnf(refute_0_5274,plain,
( multiply(inverse(multiply(commutator(X_571,X_50),multiply(inverse(X_570),multiply(X_571,X_570)))),Z) != multiply(inverse(multiply(X_571,X_570)),multiply(X_570,multiply(commutator(X_50,X_571),Z)))
| multiply(inverse(multiply(commutator(X_571,X_50),multiply(inverse(X_570),multiply(X_571,X_570)))),Z) != multiply(inverse(multiply(X_571,multiply(X_50,commutator(X_571,X_570)))),multiply(X_50,Z))
| multiply(inverse(multiply(X_571,X_570)),multiply(X_570,multiply(commutator(X_50,X_571),Z))) = multiply(inverse(multiply(X_571,multiply(X_50,commutator(X_571,X_570)))),multiply(X_50,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(commutator(X_571,X_50),multiply(inverse(X_570),multiply(X_571,X_570)))),Z),multiply(inverse(multiply(X_571,multiply(X_50,commutator(X_571,X_570)))),multiply(X_50,Z))) ),[0],$fot(multiply(inverse(multiply(X_571,X_570)),multiply(X_570,multiply(commutator(X_50,X_571),Z))))]]) ).
cnf(refute_0_5275,plain,
( multiply(inverse(multiply(commutator(X_571,X_50),multiply(inverse(X_570),multiply(X_571,X_570)))),Z) != multiply(inverse(multiply(X_571,multiply(X_50,commutator(X_571,X_570)))),multiply(X_50,Z))
| multiply(inverse(multiply(X_571,X_570)),multiply(X_570,multiply(commutator(X_50,X_571),Z))) = multiply(inverse(multiply(X_571,multiply(X_50,commutator(X_571,X_570)))),multiply(X_50,Z)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(commutator(X_571,X_50),multiply(inverse(X_570),multiply(X_571,X_570)))),Z),multiply(inverse(multiply(X_571,X_570)),multiply(X_570,multiply(commutator(X_50,X_571),Z)))) )],[refute_0_5273,refute_0_5274]) ).
cnf(refute_0_5276,plain,
multiply(inverse(multiply(X_571,X_570)),multiply(X_570,multiply(commutator(X_50,X_571),Z))) = multiply(inverse(multiply(X_571,multiply(X_50,commutator(X_571,X_570)))),multiply(X_50,Z)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(commutator(X_571,X_50),multiply(inverse(X_570),multiply(X_571,X_570)))),Z),multiply(inverse(multiply(X_571,multiply(X_50,commutator(X_571,X_570)))),multiply(X_50,Z))) )],[refute_0_5260,refute_0_5275]) ).
cnf(refute_0_5277,plain,
( multiply(inverse(multiply(X_571,X_570)),multiply(X_570,multiply(commutator(X_50,X_571),Z))) != multiply(inverse(multiply(X_571,multiply(X_50,commutator(X_571,X_570)))),multiply(X_50,Z))
| multiply(inverse(multiply(X_571,multiply(X_50,commutator(X_571,X_570)))),multiply(X_50,Z)) = multiply(inverse(multiply(X_571,X_570)),multiply(X_570,multiply(commutator(X_50,X_571),Z))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(inverse(multiply(X_571,X_570)),multiply(X_570,multiply(commutator(X_50,X_571),Z))))),bind(Y0,$fot(multiply(inverse(multiply(X_571,multiply(X_50,commutator(X_571,X_570)))),multiply(X_50,Z))))]]) ).
cnf(refute_0_5278,plain,
multiply(inverse(multiply(X_571,multiply(X_50,commutator(X_571,X_570)))),multiply(X_50,Z)) = multiply(inverse(multiply(X_571,X_570)),multiply(X_570,multiply(commutator(X_50,X_571),Z))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_571,X_570)),multiply(X_570,multiply(commutator(X_50,X_571),Z))),multiply(inverse(multiply(X_571,multiply(X_50,commutator(X_571,X_570)))),multiply(X_50,Z))) )],[refute_0_5276,refute_0_5277]) ).
cnf(refute_0_5279,plain,
multiply(inverse(multiply(X_109,multiply(X_506,commutator(X_109,X_506)))),multiply(X_506,X_505)) = multiply(inverse(multiply(X_109,X_506)),multiply(X_506,multiply(commutator(X_506,X_109),X_505))),
inference(subst,[],[refute_0_5278:[bind(Z,$fot(X_505)),bind(X_50,$fot(X_506)),bind(X_570,$fot(X_506)),bind(X_571,$fot(X_109))]]) ).
cnf(refute_0_5280,plain,
( multiply(inverse(X_109),multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505))) != multiply(inverse(multiply(X_109,multiply(X_506,commutator(X_109,X_506)))),multiply(X_506,X_505))
| multiply(inverse(multiply(X_109,multiply(X_506,commutator(X_109,X_506)))),multiply(X_506,X_505)) != multiply(inverse(multiply(X_109,X_506)),multiply(X_506,multiply(commutator(X_506,X_109),X_505)))
| multiply(inverse(X_109),multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505))) = multiply(inverse(multiply(X_109,X_506)),multiply(X_506,multiply(commutator(X_506,X_109),X_505))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_109),multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505))),multiply(inverse(multiply(X_109,X_506)),multiply(X_506,multiply(commutator(X_506,X_109),X_505)))) ),[0],$fot(multiply(inverse(multiply(X_109,multiply(X_506,commutator(X_109,X_506)))),multiply(X_506,X_505)))]]) ).
cnf(refute_0_5281,plain,
( multiply(inverse(X_109),multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505))) != multiply(inverse(multiply(X_109,multiply(X_506,commutator(X_109,X_506)))),multiply(X_506,X_505))
| multiply(inverse(X_109),multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505))) = multiply(inverse(multiply(X_109,X_506)),multiply(X_506,multiply(commutator(X_506,X_109),X_505))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_109,multiply(X_506,commutator(X_109,X_506)))),multiply(X_506,X_505)),multiply(inverse(multiply(X_109,X_506)),multiply(X_506,multiply(commutator(X_506,X_109),X_505)))) )],[refute_0_5279,refute_0_5280]) ).
cnf(refute_0_5282,plain,
multiply(inverse(X_109),multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505))) = multiply(inverse(multiply(X_109,X_506)),multiply(X_506,multiply(commutator(X_506,X_109),X_505))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_109),multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505))),multiply(inverse(multiply(X_109,multiply(X_506,commutator(X_109,X_506)))),multiply(X_506,X_505))) )],[refute_0_5224,refute_0_5281]) ).
cnf(refute_0_5283,plain,
multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505)) = multiply(X_505,commutator(multiply(X_506,X_506),X_109)),
inference(subst,[],[refute_0_5132:[bind(X_612,$fot(X_505)),bind(X_65,$fot(X_109)),bind(X_66,$fot(X_506))]]) ).
cnf(refute_0_5284,plain,
multiply(inverse(X_109),multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505))) = multiply(inverse(X_109),multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_109),multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505))))]]) ).
cnf(refute_0_5285,plain,
( multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505)) != multiply(X_505,commutator(multiply(X_506,X_506),X_109))
| multiply(inverse(X_109),multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505))) != multiply(inverse(X_109),multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505)))
| multiply(inverse(X_109),multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505))) = multiply(inverse(X_109),multiply(X_505,commutator(multiply(X_506,X_506),X_109))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_109),multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505))),multiply(inverse(X_109),multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505)))) ),[1,1],$fot(multiply(X_505,commutator(multiply(X_506,X_506),X_109)))]]) ).
cnf(refute_0_5286,plain,
( multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505)) != multiply(X_505,commutator(multiply(X_506,X_506),X_109))
| multiply(inverse(X_109),multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505))) = multiply(inverse(X_109),multiply(X_505,commutator(multiply(X_506,X_506),X_109))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_109),multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505))),multiply(inverse(X_109),multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505)))) )],[refute_0_5284,refute_0_5285]) ).
cnf(refute_0_5287,plain,
multiply(inverse(X_109),multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505))) = multiply(inverse(X_109),multiply(X_505,commutator(multiply(X_506,X_506),X_109))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505)),multiply(X_505,commutator(multiply(X_506,X_506),X_109))) )],[refute_0_5283,refute_0_5286]) ).
cnf(refute_0_5288,plain,
( multiply(inverse(X_109),multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505))) != multiply(inverse(X_109),multiply(X_505,commutator(multiply(X_506,X_506),X_109)))
| multiply(inverse(X_109),multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505))) != multiply(inverse(multiply(X_109,X_506)),multiply(X_506,multiply(commutator(X_506,X_109),X_505)))
| multiply(inverse(X_109),multiply(X_505,commutator(multiply(X_506,X_506),X_109))) = multiply(inverse(multiply(X_109,X_506)),multiply(X_506,multiply(commutator(X_506,X_109),X_505))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_109),multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505))),multiply(inverse(multiply(X_109,X_506)),multiply(X_506,multiply(commutator(X_506,X_109),X_505)))) ),[0],$fot(multiply(inverse(X_109),multiply(X_505,commutator(multiply(X_506,X_506),X_109))))]]) ).
cnf(refute_0_5289,plain,
( multiply(inverse(X_109),multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505))) != multiply(inverse(multiply(X_109,X_506)),multiply(X_506,multiply(commutator(X_506,X_109),X_505)))
| multiply(inverse(X_109),multiply(X_505,commutator(multiply(X_506,X_506),X_109))) = multiply(inverse(multiply(X_109,X_506)),multiply(X_506,multiply(commutator(X_506,X_109),X_505))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_109),multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505))),multiply(inverse(X_109),multiply(X_505,commutator(multiply(X_506,X_506),X_109)))) )],[refute_0_5287,refute_0_5288]) ).
cnf(refute_0_5290,plain,
multiply(inverse(X_109),multiply(X_505,commutator(multiply(X_506,X_506),X_109))) = multiply(inverse(multiply(X_109,X_506)),multiply(X_506,multiply(commutator(X_506,X_109),X_505))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_109),multiply(commutator(X_506,X_109),multiply(commutator(X_506,X_109),X_505))),multiply(inverse(multiply(X_109,X_506)),multiply(X_506,multiply(commutator(X_506,X_109),X_505)))) )],[refute_0_5282,refute_0_5289]) ).
cnf(refute_0_5291,plain,
( multiply(inverse(X_109),multiply(X_505,commutator(multiply(X_506,X_506),X_109))) != multiply(inverse(multiply(X_109,X_506)),multiply(X_506,multiply(commutator(X_506,X_109),X_505)))
| multiply(inverse(multiply(X_109,X_506)),multiply(X_506,multiply(commutator(X_506,X_109),X_505))) = multiply(inverse(X_109),multiply(X_505,commutator(multiply(X_506,X_506),X_109))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(inverse(X_109),multiply(X_505,commutator(multiply(X_506,X_506),X_109))))),bind(Y0,$fot(multiply(inverse(multiply(X_109,X_506)),multiply(X_506,multiply(commutator(X_506,X_109),X_505)))))]]) ).
cnf(refute_0_5292,plain,
multiply(inverse(multiply(X_109,X_506)),multiply(X_506,multiply(commutator(X_506,X_109),X_505))) = multiply(inverse(X_109),multiply(X_505,commutator(multiply(X_506,X_506),X_109))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_109),multiply(X_505,commutator(multiply(X_506,X_506),X_109))),multiply(inverse(multiply(X_109,X_506)),multiply(X_506,multiply(commutator(X_506,X_109),X_505)))) )],[refute_0_5290,refute_0_5291]) ).
cnf(refute_0_5293,plain,
multiply(inverse(multiply(X_470,X_471)),multiply(X_471,multiply(commutator(X_471,X_470),multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) = multiply(inverse(X_470),multiply(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(multiply(X_471,X_471),X_470))),
inference(subst,[],[refute_0_5292:[bind(X_109,$fot(X_470)),bind(X_505,$fot(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))),bind(X_506,$fot(X_471))]]) ).
cnf(refute_0_5294,plain,
( multiply(inverse(X_470),multiply(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(multiply(X_471,X_471),X_470))) != inverse(X_27)
| multiply(inverse(multiply(X_470,X_471)),multiply(X_471,multiply(commutator(X_471,X_470),multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) != multiply(inverse(X_470),multiply(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(multiply(X_471,X_471),X_470)))
| multiply(inverse(multiply(X_470,X_471)),multiply(X_471,multiply(commutator(X_471,X_470),multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) = inverse(X_27) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_470,X_471)),multiply(X_471,multiply(commutator(X_471,X_470),multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))))),bind(Y0,$fot(multiply(inverse(X_470),multiply(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(multiply(X_471,X_471),X_470))))),bind(Z0,$fot(inverse(X_27)))]]) ).
cnf(refute_0_5295,plain,
( multiply(inverse(X_470),multiply(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(multiply(X_471,X_471),X_470))) != inverse(X_27)
| multiply(inverse(multiply(X_470,X_471)),multiply(X_471,multiply(commutator(X_471,X_470),multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) = inverse(X_27) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_470,X_471)),multiply(X_471,multiply(commutator(X_471,X_470),multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))),multiply(inverse(X_470),multiply(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(multiply(X_471,X_471),X_470)))) )],[refute_0_5293,refute_0_5294]) ).
cnf(refute_0_5296,plain,
multiply(inverse(multiply(X_470,X_471)),multiply(X_471,multiply(commutator(X_471,X_470),multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) = inverse(X_27),
inference(resolve,[$cnf( $equal(multiply(inverse(X_470),multiply(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))),commutator(multiply(X_471,X_471),X_470))),inverse(X_27)) )],[refute_0_5152,refute_0_5295]) ).
cnf(refute_0_5297,plain,
multiply(inverse(multiply(X_470,multiply(X_471,commutator(X_470,X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) = multiply(inverse(multiply(X_470,X_471)),multiply(X_471,multiply(commutator(X_471,X_470),multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))),
inference(subst,[],[refute_0_5278:[bind(Z,$fot(multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))),bind(X_50,$fot(X_471)),bind(X_570,$fot(X_471)),bind(X_571,$fot(X_470))]]) ).
cnf(refute_0_5298,plain,
( multiply(inverse(multiply(X_470,X_471)),multiply(X_471,multiply(commutator(X_471,X_470),multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) != inverse(X_27)
| multiply(inverse(multiply(X_470,multiply(X_471,commutator(X_470,X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) != multiply(inverse(multiply(X_470,X_471)),multiply(X_471,multiply(commutator(X_471,X_470),multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))
| multiply(inverse(multiply(X_470,multiply(X_471,commutator(X_470,X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) = inverse(X_27) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_470,multiply(X_471,commutator(X_470,X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))),bind(Y0,$fot(multiply(inverse(multiply(X_470,X_471)),multiply(X_471,multiply(commutator(X_471,X_470),multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))))),bind(Z0,$fot(inverse(X_27)))]]) ).
cnf(refute_0_5299,plain,
( multiply(inverse(multiply(X_470,X_471)),multiply(X_471,multiply(commutator(X_471,X_470),multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) != inverse(X_27)
| multiply(inverse(multiply(X_470,multiply(X_471,commutator(X_470,X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) = inverse(X_27) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_470,multiply(X_471,commutator(X_470,X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))),multiply(inverse(multiply(X_470,X_471)),multiply(X_471,multiply(commutator(X_471,X_470),multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))) )],[refute_0_5297,refute_0_5298]) ).
cnf(refute_0_5300,plain,
multiply(inverse(multiply(X_470,multiply(X_471,commutator(X_470,X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) = inverse(X_27),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_470,X_471)),multiply(X_471,multiply(commutator(X_471,X_470),multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))),inverse(X_27)) )],[refute_0_5296,refute_0_5299]) ).
cnf(refute_0_5301,plain,
inverse(multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))))) = inverse(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))))))),
inference(subst,[],[refute_0_5254:[bind(X_10,$fot(X_569)),bind(X_255,$fot(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))),bind(X_256,$fot(X_571))]]) ).
cnf(refute_0_5302,plain,
multiply(commutator(X_571,multiply(X_257,X_10)),X_257) = multiply(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),
inference(subst,[],[refute_0_2595:[bind(X_256,$fot(X_571))]]) ).
cnf(refute_0_5303,plain,
( multiply(commutator(X_571,multiply(X_257,X_10)),X_257) != multiply(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))
| multiply(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))) = multiply(commutator(X_571,multiply(X_257,X_10)),X_257) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(commutator(X_571,multiply(X_257,X_10)),X_257))),bind(Y0,$fot(multiply(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))))]]) ).
cnf(refute_0_5304,plain,
multiply(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))) = multiply(commutator(X_571,multiply(X_257,X_10)),X_257),
inference(resolve,[$cnf( $equal(multiply(commutator(X_571,multiply(X_257,X_10)),X_257),multiply(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))) )],[refute_0_5302,refute_0_5303]) ).
cnf(refute_0_5305,plain,
( multiply(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))) != multiply(commutator(X_571,multiply(X_257,X_10)),X_257)
| inverse(multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))))) != inverse(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))))))
| inverse(multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))))) = inverse(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))))),inverse(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))))))) ),[1,0,1,1,1],$fot(multiply(commutator(X_571,multiply(X_257,X_10)),X_257))]]) ).
cnf(refute_0_5306,plain,
( inverse(multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))))) != inverse(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))))))
| inverse(multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))))) = inverse(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))))) ),
inference(resolve,[$cnf( $equal(multiply(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)) )],[refute_0_5304,refute_0_5305]) ).
cnf(refute_0_5307,plain,
inverse(multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))))) = inverse(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))))),inverse(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))))))) )],[refute_0_5301,refute_0_5306]) ).
cnf(refute_0_5308,plain,
inverse(inverse(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_570),multiply(X_571,X_570)))))) = multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_570),multiply(X_571,X_570)))),
inference(subst,[],[refute_0_152:[bind(X_27,$fot(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_570),multiply(X_571,X_570))))))]]) ).
cnf(refute_0_5309,plain,
inverse(multiply(X_571,multiply(X_569,commutator(X_571,X_570)))) = inverse(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_570),multiply(X_571,X_570))))),
inference(subst,[],[refute_0_5254:[bind(X_10,$fot(X_569)),bind(X_255,$fot(X_570)),bind(X_256,$fot(X_571))]]) ).
cnf(refute_0_5310,plain,
( inverse(multiply(X_571,multiply(X_569,commutator(X_571,X_570)))) != inverse(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_570),multiply(X_571,X_570)))))
| inverse(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_570),multiply(X_571,X_570))))) = inverse(multiply(X_571,multiply(X_569,commutator(X_571,X_570)))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(inverse(multiply(X_571,multiply(X_569,commutator(X_571,X_570)))))),bind(Y0,$fot(inverse(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_570),multiply(X_571,X_570)))))))]]) ).
cnf(refute_0_5311,plain,
inverse(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_570),multiply(X_571,X_570))))) = inverse(multiply(X_571,multiply(X_569,commutator(X_571,X_570)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_571,multiply(X_569,commutator(X_571,X_570)))),inverse(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_570),multiply(X_571,X_570)))))) )],[refute_0_5309,refute_0_5310]) ).
cnf(refute_0_5312,plain,
( inverse(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_570),multiply(X_571,X_570))))) != inverse(multiply(X_571,multiply(X_569,commutator(X_571,X_570))))
| inverse(inverse(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_570),multiply(X_571,X_570)))))) != multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_570),multiply(X_571,X_570))))
| inverse(inverse(multiply(X_571,multiply(X_569,commutator(X_571,X_570))))) = multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_570),multiply(X_571,X_570)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_570),multiply(X_571,X_570)))))),multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_570),multiply(X_571,X_570))))) ),[0,0],$fot(inverse(multiply(X_571,multiply(X_569,commutator(X_571,X_570)))))]]) ).
cnf(refute_0_5313,plain,
( inverse(inverse(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_570),multiply(X_571,X_570)))))) != multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_570),multiply(X_571,X_570))))
| inverse(inverse(multiply(X_571,multiply(X_569,commutator(X_571,X_570))))) = multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_570),multiply(X_571,X_570)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_570),multiply(X_571,X_570))))),inverse(multiply(X_571,multiply(X_569,commutator(X_571,X_570))))) )],[refute_0_5311,refute_0_5312]) ).
cnf(refute_0_5314,plain,
inverse(inverse(multiply(X_571,multiply(X_569,commutator(X_571,X_570))))) = multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_570),multiply(X_571,X_570)))),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_570),multiply(X_571,X_570)))))),multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_570),multiply(X_571,X_570))))) )],[refute_0_5308,refute_0_5313]) ).
cnf(refute_0_5315,plain,
inverse(inverse(multiply(X_571,multiply(X_569,commutator(X_571,X_570))))) = multiply(X_571,multiply(X_569,commutator(X_571,X_570))),
inference(subst,[],[refute_0_152:[bind(X_27,$fot(multiply(X_571,multiply(X_569,commutator(X_571,X_570)))))]]) ).
cnf(refute_0_5316,plain,
( inverse(inverse(multiply(X_571,multiply(X_569,commutator(X_571,X_570))))) != multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_570),multiply(X_571,X_570))))
| inverse(inverse(multiply(X_571,multiply(X_569,commutator(X_571,X_570))))) != multiply(X_571,multiply(X_569,commutator(X_571,X_570)))
| multiply(X_571,multiply(X_569,commutator(X_571,X_570))) = multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_570),multiply(X_571,X_570)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(X_571,multiply(X_569,commutator(X_571,X_570))))),multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_570),multiply(X_571,X_570))))) ),[0],$fot(multiply(X_571,multiply(X_569,commutator(X_571,X_570))))]]) ).
cnf(refute_0_5317,plain,
( inverse(inverse(multiply(X_571,multiply(X_569,commutator(X_571,X_570))))) != multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_570),multiply(X_571,X_570))))
| multiply(X_571,multiply(X_569,commutator(X_571,X_570))) = multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_570),multiply(X_571,X_570)))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_571,multiply(X_569,commutator(X_571,X_570))))),multiply(X_571,multiply(X_569,commutator(X_571,X_570)))) )],[refute_0_5315,refute_0_5316]) ).
cnf(refute_0_5318,plain,
multiply(X_571,multiply(X_569,commutator(X_571,X_570))) = multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_570),multiply(X_571,X_570)))),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_571,multiply(X_569,commutator(X_571,X_570))))),multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_570),multiply(X_571,X_570))))) )],[refute_0_5314,refute_0_5317]) ).
cnf(refute_0_5319,plain,
( multiply(X_571,multiply(X_569,commutator(X_571,X_570))) != multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_570),multiply(X_571,X_570))))
| multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_570),multiply(X_571,X_570)))) = multiply(X_571,multiply(X_569,commutator(X_571,X_570))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(X_571,multiply(X_569,commutator(X_571,X_570))))),bind(Y0,$fot(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_570),multiply(X_571,X_570))))))]]) ).
cnf(refute_0_5320,plain,
multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_570),multiply(X_571,X_570)))) = multiply(X_571,multiply(X_569,commutator(X_571,X_570))),
inference(resolve,[$cnf( $equal(multiply(X_571,multiply(X_569,commutator(X_571,X_570))),multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_570),multiply(X_571,X_570))))) )],[refute_0_5318,refute_0_5319]) ).
cnf(refute_0_5321,plain,
multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_257),multiply(X_571,X_257)))) = multiply(X_571,multiply(X_569,commutator(X_571,X_257))),
inference(subst,[],[refute_0_5320:[bind(X_570,$fot(X_257))]]) ).
cnf(refute_0_5322,plain,
multiply(X_10,multiply(inverse(multiply(X_257,X_10)),multiply(X_571,X_257))) = multiply(inverse(X_257),multiply(X_571,X_257)),
inference(subst,[],[refute_0_4027:[bind(X,$fot(X_10)),bind(Z,$fot(multiply(X_571,X_257))),bind(X_58,$fot(X_257))]]) ).
cnf(refute_0_5323,plain,
multiply(inverse(X_58),multiply(X,X_505)) = multiply(X,multiply(inverse(multiply(X_58,X)),multiply(X,X_505))),
inference(subst,[],[refute_0_660:[bind(Z,$fot(multiply(X,X_505)))]]) ).
cnf(refute_0_5324,plain,
multiply(commutator(X,X_58),multiply(inverse(X_58),X_505)) = multiply(inverse(multiply(X_58,X)),multiply(X,X_505)),
inference(subst,[],[refute_0_2844:[bind(Z,$fot(X_505)),bind(X_255,$fot(X)),bind(X_256,$fot(X_58))]]) ).
cnf(refute_0_5325,plain,
( multiply(commutator(X,X_58),multiply(inverse(X_58),X_505)) != multiply(inverse(multiply(X_58,X)),multiply(X,X_505))
| multiply(inverse(multiply(X_58,X)),multiply(X,X_505)) = multiply(commutator(X,X_58),multiply(inverse(X_58),X_505)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(commutator(X,X_58),multiply(inverse(X_58),X_505)))),bind(Y0,$fot(multiply(inverse(multiply(X_58,X)),multiply(X,X_505))))]]) ).
cnf(refute_0_5326,plain,
multiply(inverse(multiply(X_58,X)),multiply(X,X_505)) = multiply(commutator(X,X_58),multiply(inverse(X_58),X_505)),
inference(resolve,[$cnf( $equal(multiply(commutator(X,X_58),multiply(inverse(X_58),X_505)),multiply(inverse(multiply(X_58,X)),multiply(X,X_505))) )],[refute_0_5324,refute_0_5325]) ).
cnf(refute_0_5327,plain,
( multiply(inverse(X_58),multiply(X,X_505)) != multiply(X,multiply(inverse(multiply(X_58,X)),multiply(X,X_505)))
| multiply(inverse(multiply(X_58,X)),multiply(X,X_505)) != multiply(commutator(X,X_58),multiply(inverse(X_58),X_505))
| multiply(inverse(X_58),multiply(X,X_505)) = multiply(X,multiply(commutator(X,X_58),multiply(inverse(X_58),X_505))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_58),multiply(X,X_505)),multiply(X,multiply(inverse(multiply(X_58,X)),multiply(X,X_505)))) ),[1,1],$fot(multiply(commutator(X,X_58),multiply(inverse(X_58),X_505)))]]) ).
cnf(refute_0_5328,plain,
( multiply(inverse(X_58),multiply(X,X_505)) != multiply(X,multiply(inverse(multiply(X_58,X)),multiply(X,X_505)))
| multiply(inverse(X_58),multiply(X,X_505)) = multiply(X,multiply(commutator(X,X_58),multiply(inverse(X_58),X_505))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_58,X)),multiply(X,X_505)),multiply(commutator(X,X_58),multiply(inverse(X_58),X_505))) )],[refute_0_5326,refute_0_5327]) ).
cnf(refute_0_5329,plain,
multiply(inverse(X_58),multiply(X,X_505)) = multiply(X,multiply(commutator(X,X_58),multiply(inverse(X_58),X_505))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_58),multiply(X,X_505)),multiply(X,multiply(inverse(multiply(X_58,X)),multiply(X,X_505)))) )],[refute_0_5323,refute_0_5328]) ).
cnf(refute_0_5330,plain,
multiply(commutator(X,X_58),multiply(inverse(X_58),X_505)) = multiply(inverse(X_58),multiply(commutator(X,X_58),X_505)),
inference(subst,[],[refute_0_5212:[bind(Z,$fot(X_505)),bind(X_256,$fot(X_58)),bind(X_510,$fot(X))]]) ).
cnf(refute_0_5331,plain,
multiply(X,multiply(commutator(X,X_58),multiply(inverse(X_58),X_505))) = multiply(X,multiply(commutator(X,X_58),multiply(inverse(X_58),X_505))),
introduced(tautology,[refl,[$fot(multiply(X,multiply(commutator(X,X_58),multiply(inverse(X_58),X_505))))]]) ).
cnf(refute_0_5332,plain,
( multiply(X,multiply(commutator(X,X_58),multiply(inverse(X_58),X_505))) != multiply(X,multiply(commutator(X,X_58),multiply(inverse(X_58),X_505)))
| multiply(commutator(X,X_58),multiply(inverse(X_58),X_505)) != multiply(inverse(X_58),multiply(commutator(X,X_58),X_505))
| multiply(X,multiply(commutator(X,X_58),multiply(inverse(X_58),X_505))) = multiply(X,multiply(inverse(X_58),multiply(commutator(X,X_58),X_505))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(commutator(X,X_58),multiply(inverse(X_58),X_505))),multiply(X,multiply(commutator(X,X_58),multiply(inverse(X_58),X_505)))) ),[1,1],$fot(multiply(inverse(X_58),multiply(commutator(X,X_58),X_505)))]]) ).
cnf(refute_0_5333,plain,
( multiply(commutator(X,X_58),multiply(inverse(X_58),X_505)) != multiply(inverse(X_58),multiply(commutator(X,X_58),X_505))
| multiply(X,multiply(commutator(X,X_58),multiply(inverse(X_58),X_505))) = multiply(X,multiply(inverse(X_58),multiply(commutator(X,X_58),X_505))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(commutator(X,X_58),multiply(inverse(X_58),X_505))),multiply(X,multiply(commutator(X,X_58),multiply(inverse(X_58),X_505)))) )],[refute_0_5331,refute_0_5332]) ).
cnf(refute_0_5334,plain,
multiply(X,multiply(commutator(X,X_58),multiply(inverse(X_58),X_505))) = multiply(X,multiply(inverse(X_58),multiply(commutator(X,X_58),X_505))),
inference(resolve,[$cnf( $equal(multiply(commutator(X,X_58),multiply(inverse(X_58),X_505)),multiply(inverse(X_58),multiply(commutator(X,X_58),X_505))) )],[refute_0_5330,refute_0_5333]) ).
cnf(refute_0_5335,plain,
( multiply(X,multiply(commutator(X,X_58),multiply(inverse(X_58),X_505))) != multiply(X,multiply(inverse(X_58),multiply(commutator(X,X_58),X_505)))
| multiply(inverse(X_58),multiply(X,X_505)) != multiply(X,multiply(commutator(X,X_58),multiply(inverse(X_58),X_505)))
| multiply(inverse(X_58),multiply(X,X_505)) = multiply(X,multiply(inverse(X_58),multiply(commutator(X,X_58),X_505))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_58),multiply(X,X_505)),multiply(X,multiply(commutator(X,X_58),multiply(inverse(X_58),X_505)))) ),[1],$fot(multiply(X,multiply(inverse(X_58),multiply(commutator(X,X_58),X_505))))]]) ).
cnf(refute_0_5336,plain,
( multiply(inverse(X_58),multiply(X,X_505)) != multiply(X,multiply(commutator(X,X_58),multiply(inverse(X_58),X_505)))
| multiply(inverse(X_58),multiply(X,X_505)) = multiply(X,multiply(inverse(X_58),multiply(commutator(X,X_58),X_505))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(commutator(X,X_58),multiply(inverse(X_58),X_505))),multiply(X,multiply(inverse(X_58),multiply(commutator(X,X_58),X_505)))) )],[refute_0_5334,refute_0_5335]) ).
cnf(refute_0_5337,plain,
multiply(inverse(X_58),multiply(X,X_505)) = multiply(X,multiply(inverse(X_58),multiply(commutator(X,X_58),X_505))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_58),multiply(X,X_505)),multiply(X,multiply(commutator(X,X_58),multiply(inverse(X_58),X_505)))) )],[refute_0_5329,refute_0_5336]) ).
cnf(refute_0_5338,plain,
( multiply(inverse(X_58),multiply(X,X_505)) != multiply(X,multiply(inverse(X_58),multiply(commutator(X,X_58),X_505)))
| multiply(X,multiply(inverse(X_58),multiply(commutator(X,X_58),X_505))) = multiply(inverse(X_58),multiply(X,X_505)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(inverse(X_58),multiply(X,X_505)))),bind(Y0,$fot(multiply(X,multiply(inverse(X_58),multiply(commutator(X,X_58),X_505)))))]]) ).
cnf(refute_0_5339,plain,
multiply(X,multiply(inverse(X_58),multiply(commutator(X,X_58),X_505))) = multiply(inverse(X_58),multiply(X,X_505)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_58),multiply(X,X_505)),multiply(X,multiply(inverse(X_58),multiply(commutator(X,X_58),X_505)))) )],[refute_0_5337,refute_0_5338]) ).
cnf(refute_0_5340,plain,
multiply(X_571,multiply(inverse(multiply(X_257,X_10)),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))) = multiply(inverse(multiply(X_257,X_10)),multiply(X_571,X_257)),
inference(subst,[],[refute_0_5339:[bind(X,$fot(X_571)),bind(X_505,$fot(X_257)),bind(X_58,$fot(multiply(X_257,X_10)))]]) ).
cnf(refute_0_5341,plain,
multiply(multiply(X_571,inverse(multiply(X_257,X_10))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)) = multiply(X_571,multiply(inverse(multiply(X_257,X_10)),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))),
inference(subst,[],[associativity:[bind(X,$fot(X_571)),bind(Y,$fot(inverse(multiply(X_257,X_10)))),bind(Z,$fot(multiply(commutator(X_571,multiply(X_257,X_10)),X_257)))]]) ).
cnf(refute_0_5342,plain,
( multiply(X_571,multiply(inverse(multiply(X_257,X_10)),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))) != multiply(inverse(multiply(X_257,X_10)),multiply(X_571,X_257))
| multiply(multiply(X_571,inverse(multiply(X_257,X_10))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)) != multiply(X_571,multiply(inverse(multiply(X_257,X_10)),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)))
| multiply(multiply(X_571,inverse(multiply(X_257,X_10))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)) = multiply(inverse(multiply(X_257,X_10)),multiply(X_571,X_257)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_571,inverse(multiply(X_257,X_10))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)))),bind(Y0,$fot(multiply(X_571,multiply(inverse(multiply(X_257,X_10)),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))))),bind(Z0,$fot(multiply(inverse(multiply(X_257,X_10)),multiply(X_571,X_257))))]]) ).
cnf(refute_0_5343,plain,
( multiply(X_571,multiply(inverse(multiply(X_257,X_10)),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))) != multiply(inverse(multiply(X_257,X_10)),multiply(X_571,X_257))
| multiply(multiply(X_571,inverse(multiply(X_257,X_10))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)) = multiply(inverse(multiply(X_257,X_10)),multiply(X_571,X_257)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_571,inverse(multiply(X_257,X_10))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)),multiply(X_571,multiply(inverse(multiply(X_257,X_10)),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)))) )],[refute_0_5341,refute_0_5342]) ).
cnf(refute_0_5344,plain,
multiply(multiply(X_571,inverse(multiply(X_257,X_10))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)) = multiply(inverse(multiply(X_257,X_10)),multiply(X_571,X_257)),
inference(resolve,[$cnf( $equal(multiply(X_571,multiply(inverse(multiply(X_257,X_10)),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))),multiply(inverse(multiply(X_257,X_10)),multiply(X_571,X_257))) )],[refute_0_5340,refute_0_5343]) ).
cnf(refute_0_5345,plain,
multiply(X_10,multiply(multiply(X_571,inverse(multiply(X_257,X_10))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))) = multiply(X_10,multiply(multiply(X_571,inverse(multiply(X_257,X_10))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))),
introduced(tautology,[refl,[$fot(multiply(X_10,multiply(multiply(X_571,inverse(multiply(X_257,X_10))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))))]]) ).
cnf(refute_0_5346,plain,
( multiply(X_10,multiply(multiply(X_571,inverse(multiply(X_257,X_10))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))) != multiply(X_10,multiply(multiply(X_571,inverse(multiply(X_257,X_10))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)))
| multiply(multiply(X_571,inverse(multiply(X_257,X_10))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)) != multiply(inverse(multiply(X_257,X_10)),multiply(X_571,X_257))
| multiply(X_10,multiply(multiply(X_571,inverse(multiply(X_257,X_10))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))) = multiply(X_10,multiply(inverse(multiply(X_257,X_10)),multiply(X_571,X_257))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_10,multiply(multiply(X_571,inverse(multiply(X_257,X_10))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))),multiply(X_10,multiply(multiply(X_571,inverse(multiply(X_257,X_10))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)))) ),[1,1],$fot(multiply(inverse(multiply(X_257,X_10)),multiply(X_571,X_257)))]]) ).
cnf(refute_0_5347,plain,
( multiply(multiply(X_571,inverse(multiply(X_257,X_10))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)) != multiply(inverse(multiply(X_257,X_10)),multiply(X_571,X_257))
| multiply(X_10,multiply(multiply(X_571,inverse(multiply(X_257,X_10))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))) = multiply(X_10,multiply(inverse(multiply(X_257,X_10)),multiply(X_571,X_257))) ),
inference(resolve,[$cnf( $equal(multiply(X_10,multiply(multiply(X_571,inverse(multiply(X_257,X_10))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))),multiply(X_10,multiply(multiply(X_571,inverse(multiply(X_257,X_10))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)))) )],[refute_0_5345,refute_0_5346]) ).
cnf(refute_0_5348,plain,
multiply(X_10,multiply(multiply(X_571,inverse(multiply(X_257,X_10))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))) = multiply(X_10,multiply(inverse(multiply(X_257,X_10)),multiply(X_571,X_257))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_571,inverse(multiply(X_257,X_10))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)),multiply(inverse(multiply(X_257,X_10)),multiply(X_571,X_257))) )],[refute_0_5344,refute_0_5347]) ).
cnf(refute_0_5349,plain,
( multiply(X_10,multiply(multiply(X_571,inverse(multiply(X_257,X_10))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))) != multiply(X_10,multiply(inverse(multiply(X_257,X_10)),multiply(X_571,X_257)))
| multiply(X_10,multiply(inverse(multiply(X_257,X_10)),multiply(X_571,X_257))) != multiply(inverse(X_257),multiply(X_571,X_257))
| multiply(X_10,multiply(multiply(X_571,inverse(multiply(X_257,X_10))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))) = multiply(inverse(X_257),multiply(X_571,X_257)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_10,multiply(multiply(X_571,inverse(multiply(X_257,X_10))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))))),bind(Y0,$fot(multiply(X_10,multiply(inverse(multiply(X_257,X_10)),multiply(X_571,X_257))))),bind(Z0,$fot(multiply(inverse(X_257),multiply(X_571,X_257))))]]) ).
cnf(refute_0_5350,plain,
( multiply(X_10,multiply(inverse(multiply(X_257,X_10)),multiply(X_571,X_257))) != multiply(inverse(X_257),multiply(X_571,X_257))
| multiply(X_10,multiply(multiply(X_571,inverse(multiply(X_257,X_10))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))) = multiply(inverse(X_257),multiply(X_571,X_257)) ),
inference(resolve,[$cnf( $equal(multiply(X_10,multiply(multiply(X_571,inverse(multiply(X_257,X_10))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))),multiply(X_10,multiply(inverse(multiply(X_257,X_10)),multiply(X_571,X_257)))) )],[refute_0_5348,refute_0_5349]) ).
cnf(refute_0_5351,plain,
multiply(X_10,multiply(multiply(X_571,inverse(multiply(X_257,X_10))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))) = multiply(inverse(X_257),multiply(X_571,X_257)),
inference(resolve,[$cnf( $equal(multiply(X_10,multiply(inverse(multiply(X_257,X_10)),multiply(X_571,X_257))),multiply(inverse(X_257),multiply(X_571,X_257))) )],[refute_0_5322,refute_0_5350]) ).
cnf(refute_0_5352,plain,
multiply(multiply(X_10,multiply(X_571,inverse(multiply(X_257,X_10)))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)) = multiply(X_10,multiply(multiply(X_571,inverse(multiply(X_257,X_10))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))),
inference(subst,[],[associativity:[bind(X,$fot(X_10)),bind(Y,$fot(multiply(X_571,inverse(multiply(X_257,X_10))))),bind(Z,$fot(multiply(commutator(X_571,multiply(X_257,X_10)),X_257)))]]) ).
cnf(refute_0_5353,plain,
( multiply(X_10,multiply(multiply(X_571,inverse(multiply(X_257,X_10))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))) != multiply(inverse(X_257),multiply(X_571,X_257))
| multiply(multiply(X_10,multiply(X_571,inverse(multiply(X_257,X_10)))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)) != multiply(X_10,multiply(multiply(X_571,inverse(multiply(X_257,X_10))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)))
| multiply(multiply(X_10,multiply(X_571,inverse(multiply(X_257,X_10)))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)) = multiply(inverse(X_257),multiply(X_571,X_257)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_10,multiply(X_571,inverse(multiply(X_257,X_10)))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)))),bind(Y0,$fot(multiply(X_10,multiply(multiply(X_571,inverse(multiply(X_257,X_10))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))))),bind(Z0,$fot(multiply(inverse(X_257),multiply(X_571,X_257))))]]) ).
cnf(refute_0_5354,plain,
( multiply(X_10,multiply(multiply(X_571,inverse(multiply(X_257,X_10))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))) != multiply(inverse(X_257),multiply(X_571,X_257))
| multiply(multiply(X_10,multiply(X_571,inverse(multiply(X_257,X_10)))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)) = multiply(inverse(X_257),multiply(X_571,X_257)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_10,multiply(X_571,inverse(multiply(X_257,X_10)))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)),multiply(X_10,multiply(multiply(X_571,inverse(multiply(X_257,X_10))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)))) )],[refute_0_5352,refute_0_5353]) ).
cnf(refute_0_5355,plain,
multiply(multiply(X_10,multiply(X_571,inverse(multiply(X_257,X_10)))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)) = multiply(inverse(X_257),multiply(X_571,X_257)),
inference(resolve,[$cnf( $equal(multiply(X_10,multiply(multiply(X_571,inverse(multiply(X_257,X_10))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))),multiply(inverse(X_257),multiply(X_571,X_257))) )],[refute_0_5351,refute_0_5354]) ).
cnf(refute_0_5356,plain,
multiply(multiply(X_10,X_571),inverse(multiply(X_257,X_10))) = multiply(X_10,multiply(X_571,inverse(multiply(X_257,X_10)))),
inference(subst,[],[associativity:[bind(X,$fot(X_10)),bind(Y,$fot(X_571)),bind(Z,$fot(inverse(multiply(X_257,X_10))))]]) ).
cnf(refute_0_5357,plain,
inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))) = multiply(multiply(X_10,X_571),inverse(multiply(X_257,X_10))),
inference(subst,[],[refute_0_860:[bind(X_58,$fot(X_257)),bind(X_89,$fot(multiply(X_10,X_571))),bind(X_90,$fot(X_10))]]) ).
cnf(refute_0_5358,plain,
( multiply(multiply(X_10,X_571),inverse(multiply(X_257,X_10))) != multiply(X_10,multiply(X_571,inverse(multiply(X_257,X_10))))
| inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))) != multiply(multiply(X_10,X_571),inverse(multiply(X_257,X_10)))
| inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))) = multiply(X_10,multiply(X_571,inverse(multiply(X_257,X_10)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))))),bind(Y0,$fot(multiply(multiply(X_10,X_571),inverse(multiply(X_257,X_10))))),bind(Z0,$fot(multiply(X_10,multiply(X_571,inverse(multiply(X_257,X_10))))))]]) ).
cnf(refute_0_5359,plain,
( multiply(multiply(X_10,X_571),inverse(multiply(X_257,X_10))) != multiply(X_10,multiply(X_571,inverse(multiply(X_257,X_10))))
| inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))) = multiply(X_10,multiply(X_571,inverse(multiply(X_257,X_10)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(multiply(X_10,X_571),inverse(multiply(X_257,X_10)))) )],[refute_0_5357,refute_0_5358]) ).
cnf(refute_0_5360,plain,
inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))) = multiply(X_10,multiply(X_571,inverse(multiply(X_257,X_10)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_10,X_571),inverse(multiply(X_257,X_10))),multiply(X_10,multiply(X_571,inverse(multiply(X_257,X_10))))) )],[refute_0_5356,refute_0_5359]) ).
cnf(refute_0_5361,plain,
multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)) = multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)))]]) ).
cnf(refute_0_5362,plain,
( multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)) != multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))
| inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))) != multiply(X_10,multiply(X_571,inverse(multiply(X_257,X_10))))
| multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)) = multiply(multiply(X_10,multiply(X_571,inverse(multiply(X_257,X_10)))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))) ),[1,0],$fot(multiply(X_10,multiply(X_571,inverse(multiply(X_257,X_10)))))]]) ).
cnf(refute_0_5363,plain,
( inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))) != multiply(X_10,multiply(X_571,inverse(multiply(X_257,X_10))))
| multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)) = multiply(multiply(X_10,multiply(X_571,inverse(multiply(X_257,X_10)))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))) )],[refute_0_5361,refute_0_5362]) ).
cnf(refute_0_5364,plain,
multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)) = multiply(multiply(X_10,multiply(X_571,inverse(multiply(X_257,X_10)))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(X_10,multiply(X_571,inverse(multiply(X_257,X_10))))) )],[refute_0_5360,refute_0_5363]) ).
cnf(refute_0_5365,plain,
( multiply(multiply(X_10,multiply(X_571,inverse(multiply(X_257,X_10)))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)) != multiply(inverse(X_257),multiply(X_571,X_257))
| multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)) != multiply(multiply(X_10,multiply(X_571,inverse(multiply(X_257,X_10)))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))
| multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)) = multiply(inverse(X_257),multiply(X_571,X_257)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)))),bind(Y0,$fot(multiply(multiply(X_10,multiply(X_571,inverse(multiply(X_257,X_10)))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)))),bind(Z0,$fot(multiply(inverse(X_257),multiply(X_571,X_257))))]]) ).
cnf(refute_0_5366,plain,
( multiply(multiply(X_10,multiply(X_571,inverse(multiply(X_257,X_10)))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)) != multiply(inverse(X_257),multiply(X_571,X_257))
| multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)) = multiply(inverse(X_257),multiply(X_571,X_257)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)),multiply(multiply(X_10,multiply(X_571,inverse(multiply(X_257,X_10)))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))) )],[refute_0_5364,refute_0_5365]) ).
cnf(refute_0_5367,plain,
multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)) = multiply(inverse(X_257),multiply(X_571,X_257)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_10,multiply(X_571,inverse(multiply(X_257,X_10)))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)),multiply(inverse(X_257),multiply(X_571,X_257))) )],[refute_0_5355,refute_0_5366]) ).
cnf(refute_0_5368,plain,
multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))) = multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))),
introduced(tautology,[refl,[$fot(multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))))]]) ).
cnf(refute_0_5369,plain,
( multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))) != multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)))
| multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)) != multiply(inverse(X_257),multiply(X_571,X_257))
| multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))) = multiply(commutator(X_571,X_569),multiply(inverse(X_257),multiply(X_571,X_257))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))),multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)))) ),[1,1],$fot(multiply(inverse(X_257),multiply(X_571,X_257)))]]) ).
cnf(refute_0_5370,plain,
( multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)) != multiply(inverse(X_257),multiply(X_571,X_257))
| multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))) = multiply(commutator(X_571,X_569),multiply(inverse(X_257),multiply(X_571,X_257))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))),multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)))) )],[refute_0_5368,refute_0_5369]) ).
cnf(refute_0_5371,plain,
multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))) = multiply(commutator(X_571,X_569),multiply(inverse(X_257),multiply(X_571,X_257))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)),multiply(inverse(X_257),multiply(X_571,X_257))) )],[refute_0_5367,refute_0_5370]) ).
cnf(refute_0_5372,plain,
multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)))) = multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)))),
introduced(tautology,[refl,[$fot(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)))))]]) ).
cnf(refute_0_5373,plain,
( multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)))) != multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))))
| multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))) != multiply(commutator(X_571,X_569),multiply(inverse(X_257),multiply(X_571,X_257)))
| multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)))) = multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_257),multiply(X_571,X_257)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)))),multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))))) ),[1,1],$fot(multiply(commutator(X_571,X_569),multiply(inverse(X_257),multiply(X_571,X_257))))]]) ).
cnf(refute_0_5374,plain,
( multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))) != multiply(commutator(X_571,X_569),multiply(inverse(X_257),multiply(X_571,X_257)))
| multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)))) = multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_257),multiply(X_571,X_257)))) ),
inference(resolve,[$cnf( $equal(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)))),multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))))) )],[refute_0_5372,refute_0_5373]) ).
cnf(refute_0_5375,plain,
multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)))) = multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_257),multiply(X_571,X_257)))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))),multiply(commutator(X_571,X_569),multiply(inverse(X_257),multiply(X_571,X_257)))) )],[refute_0_5371,refute_0_5374]) ).
cnf(refute_0_5376,plain,
( multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_257),multiply(X_571,X_257)))) != multiply(X_571,multiply(X_569,commutator(X_571,X_257)))
| multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)))) != multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_257),multiply(X_571,X_257))))
| multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)))) = multiply(X_571,multiply(X_569,commutator(X_571,X_257))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)))))),bind(Y0,$fot(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_257),multiply(X_571,X_257)))))),bind(Z0,$fot(multiply(X_571,multiply(X_569,commutator(X_571,X_257)))))]]) ).
cnf(refute_0_5377,plain,
( multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_257),multiply(X_571,X_257)))) != multiply(X_571,multiply(X_569,commutator(X_571,X_257)))
| multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)))) = multiply(X_571,multiply(X_569,commutator(X_571,X_257))) ),
inference(resolve,[$cnf( $equal(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)))),multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_257),multiply(X_571,X_257))))) )],[refute_0_5375,refute_0_5376]) ).
cnf(refute_0_5378,plain,
multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)))) = multiply(X_571,multiply(X_569,commutator(X_571,X_257))),
inference(resolve,[$cnf( $equal(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(X_257),multiply(X_571,X_257)))),multiply(X_571,multiply(X_569,commutator(X_571,X_257)))) )],[refute_0_5321,refute_0_5377]) ).
cnf(refute_0_5379,plain,
inverse(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))))) = inverse(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))))))]]) ).
cnf(refute_0_5380,plain,
( multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)))) != multiply(X_571,multiply(X_569,commutator(X_571,X_257)))
| inverse(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))))) != inverse(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)))))
| inverse(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))))) = inverse(multiply(X_571,multiply(X_569,commutator(X_571,X_257)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))))),inverse(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)))))) ),[1,0],$fot(multiply(X_571,multiply(X_569,commutator(X_571,X_257))))]]) ).
cnf(refute_0_5381,plain,
( multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)))) != multiply(X_571,multiply(X_569,commutator(X_571,X_257)))
| inverse(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))))) = inverse(multiply(X_571,multiply(X_569,commutator(X_571,X_257)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))))),inverse(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)))))) )],[refute_0_5379,refute_0_5380]) ).
cnf(refute_0_5382,plain,
inverse(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))))) = inverse(multiply(X_571,multiply(X_569,commutator(X_571,X_257)))),
inference(resolve,[$cnf( $equal(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)))),multiply(X_571,multiply(X_569,commutator(X_571,X_257)))) )],[refute_0_5378,refute_0_5381]) ).
cnf(refute_0_5383,plain,
( inverse(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))))) != inverse(multiply(X_571,multiply(X_569,commutator(X_571,X_257))))
| inverse(multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))))) != inverse(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)))))
| inverse(multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))))) = inverse(multiply(X_571,multiply(X_569,commutator(X_571,X_257)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))))),inverse(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)))))) ),[1],$fot(inverse(multiply(X_571,multiply(X_569,commutator(X_571,X_257)))))]]) ).
cnf(refute_0_5384,plain,
( inverse(multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))))) != inverse(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)))))
| inverse(multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))))) = inverse(multiply(X_571,multiply(X_569,commutator(X_571,X_257)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257))))),inverse(multiply(X_571,multiply(X_569,commutator(X_571,X_257))))) )],[refute_0_5382,refute_0_5383]) ).
cnf(refute_0_5385,plain,
inverse(multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))))) = inverse(multiply(X_571,multiply(X_569,commutator(X_571,X_257)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))))),inverse(multiply(X_569,multiply(commutator(X_571,X_569),multiply(inverse(multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),multiply(commutator(X_571,multiply(X_257,X_10)),X_257)))))) )],[refute_0_5307,refute_0_5384]) ).
cnf(refute_0_5386,plain,
commutator(Y,multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y))))) = multiply(inverse(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y)),multiply(Y,multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))))),
inference(subst,[],[refute_0_718:[bind(X,$fot(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y))))))]]) ).
cnf(refute_0_5387,plain,
multiply(commutator(Y,multiply(X_340,X_338)),X_340) = multiply(Y,multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y))))),
inference(subst,[],[refute_0_2595:[bind(X_10,$fot(X_338)),bind(X_256,$fot(Y)),bind(X_257,$fot(X_340))]]) ).
cnf(refute_0_5388,plain,
( multiply(commutator(Y,multiply(X_340,X_338)),X_340) != multiply(Y,multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))))
| multiply(Y,multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y))))) = multiply(commutator(Y,multiply(X_340,X_338)),X_340) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(commutator(Y,multiply(X_340,X_338)),X_340))),bind(Y0,$fot(multiply(Y,multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))))))]]) ).
cnf(refute_0_5389,plain,
multiply(Y,multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y))))) = multiply(commutator(Y,multiply(X_340,X_338)),X_340),
inference(resolve,[$cnf( $equal(multiply(commutator(Y,multiply(X_340,X_338)),X_340),multiply(Y,multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))))) )],[refute_0_5387,refute_0_5388]) ).
cnf(refute_0_5390,plain,
( multiply(Y,multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y))))) != multiply(commutator(Y,multiply(X_340,X_338)),X_340)
| commutator(Y,multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y))))) != multiply(inverse(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y)),multiply(Y,multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y))))))
| commutator(Y,multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y))))) = multiply(inverse(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y)),multiply(commutator(Y,multiply(X_340,X_338)),X_340)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(Y,multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y))))),multiply(inverse(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y)),multiply(Y,multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y))))))) ),[1,1],$fot(multiply(commutator(Y,multiply(X_340,X_338)),X_340))]]) ).
cnf(refute_0_5391,plain,
( commutator(Y,multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y))))) != multiply(inverse(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y)),multiply(Y,multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y))))))
| commutator(Y,multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y))))) = multiply(inverse(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y)),multiply(commutator(Y,multiply(X_340,X_338)),X_340)) ),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y))))),multiply(commutator(Y,multiply(X_340,X_338)),X_340)) )],[refute_0_5389,refute_0_5390]) ).
cnf(refute_0_5392,plain,
commutator(Y,multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y))))) = multiply(inverse(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y)),multiply(commutator(Y,multiply(X_340,X_338)),X_340)),
inference(resolve,[$cnf( $equal(commutator(Y,multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y))))),multiply(inverse(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y)),multiply(Y,multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y))))))) )],[refute_0_5386,refute_0_5391]) ).
cnf(refute_0_5393,plain,
multiply(X_338,multiply(inverse(multiply(X_338,Y)),Y)) = commutator(Y,X_338),
inference(subst,[],[refute_0_1907:[bind(X_15,$fot(X_338)),bind(X_16,$fot(Y))]]) ).
cnf(refute_0_5394,plain,
multiply(multiply(X_338,inverse(multiply(X_338,Y))),Y) = multiply(X_338,multiply(inverse(multiply(X_338,Y)),Y)),
inference(subst,[],[associativity:[bind(X,$fot(X_338)),bind(Y,$fot(inverse(multiply(X_338,Y)))),bind(Z,$fot(Y))]]) ).
cnf(refute_0_5395,plain,
( multiply(X_338,multiply(inverse(multiply(X_338,Y)),Y)) != commutator(Y,X_338)
| multiply(multiply(X_338,inverse(multiply(X_338,Y))),Y) != multiply(X_338,multiply(inverse(multiply(X_338,Y)),Y))
| multiply(multiply(X_338,inverse(multiply(X_338,Y))),Y) = commutator(Y,X_338) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_338,inverse(multiply(X_338,Y))),Y))),bind(Y0,$fot(multiply(X_338,multiply(inverse(multiply(X_338,Y)),Y)))),bind(Z0,$fot(commutator(Y,X_338)))]]) ).
cnf(refute_0_5396,plain,
( multiply(X_338,multiply(inverse(multiply(X_338,Y)),Y)) != commutator(Y,X_338)
| multiply(multiply(X_338,inverse(multiply(X_338,Y))),Y) = commutator(Y,X_338) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_338,inverse(multiply(X_338,Y))),Y),multiply(X_338,multiply(inverse(multiply(X_338,Y)),Y))) )],[refute_0_5394,refute_0_5395]) ).
cnf(refute_0_5397,plain,
multiply(multiply(X_338,inverse(multiply(X_338,Y))),Y) = commutator(Y,X_338),
inference(resolve,[$cnf( $equal(multiply(X_338,multiply(inverse(multiply(X_338,Y)),Y)),commutator(Y,X_338)) )],[refute_0_5393,refute_0_5396]) ).
cnf(refute_0_5398,plain,
multiply(X_340,multiply(multiply(X_338,inverse(multiply(X_338,Y))),Y)) = multiply(X_340,multiply(multiply(X_338,inverse(multiply(X_338,Y))),Y)),
introduced(tautology,[refl,[$fot(multiply(X_340,multiply(multiply(X_338,inverse(multiply(X_338,Y))),Y)))]]) ).
cnf(refute_0_5399,plain,
( multiply(X_340,multiply(multiply(X_338,inverse(multiply(X_338,Y))),Y)) != multiply(X_340,multiply(multiply(X_338,inverse(multiply(X_338,Y))),Y))
| multiply(multiply(X_338,inverse(multiply(X_338,Y))),Y) != commutator(Y,X_338)
| multiply(X_340,multiply(multiply(X_338,inverse(multiply(X_338,Y))),Y)) = multiply(X_340,commutator(Y,X_338)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_340,multiply(multiply(X_338,inverse(multiply(X_338,Y))),Y)),multiply(X_340,multiply(multiply(X_338,inverse(multiply(X_338,Y))),Y))) ),[1,1],$fot(commutator(Y,X_338))]]) ).
cnf(refute_0_5400,plain,
( multiply(multiply(X_338,inverse(multiply(X_338,Y))),Y) != commutator(Y,X_338)
| multiply(X_340,multiply(multiply(X_338,inverse(multiply(X_338,Y))),Y)) = multiply(X_340,commutator(Y,X_338)) ),
inference(resolve,[$cnf( $equal(multiply(X_340,multiply(multiply(X_338,inverse(multiply(X_338,Y))),Y)),multiply(X_340,multiply(multiply(X_338,inverse(multiply(X_338,Y))),Y))) )],[refute_0_5398,refute_0_5399]) ).
cnf(refute_0_5401,plain,
multiply(X_340,multiply(multiply(X_338,inverse(multiply(X_338,Y))),Y)) = multiply(X_340,commutator(Y,X_338)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_338,inverse(multiply(X_338,Y))),Y),commutator(Y,X_338)) )],[refute_0_5397,refute_0_5400]) ).
cnf(refute_0_5402,plain,
multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y) = multiply(X_340,multiply(multiply(X_338,inverse(multiply(X_338,Y))),Y)),
inference(subst,[],[associativity:[bind(X,$fot(X_340)),bind(Y,$fot(multiply(X_338,inverse(multiply(X_338,Y))))),bind(Z,$fot(Y))]]) ).
cnf(refute_0_5403,plain,
( multiply(X_340,multiply(multiply(X_338,inverse(multiply(X_338,Y))),Y)) != multiply(X_340,commutator(Y,X_338))
| multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y) != multiply(X_340,multiply(multiply(X_338,inverse(multiply(X_338,Y))),Y))
| multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y) = multiply(X_340,commutator(Y,X_338)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y))),bind(Y0,$fot(multiply(X_340,multiply(multiply(X_338,inverse(multiply(X_338,Y))),Y)))),bind(Z0,$fot(multiply(X_340,commutator(Y,X_338))))]]) ).
cnf(refute_0_5404,plain,
( multiply(X_340,multiply(multiply(X_338,inverse(multiply(X_338,Y))),Y)) != multiply(X_340,commutator(Y,X_338))
| multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y) = multiply(X_340,commutator(Y,X_338)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y),multiply(X_340,multiply(multiply(X_338,inverse(multiply(X_338,Y))),Y))) )],[refute_0_5402,refute_0_5403]) ).
cnf(refute_0_5405,plain,
multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y) = multiply(X_340,commutator(Y,X_338)),
inference(resolve,[$cnf( $equal(multiply(X_340,multiply(multiply(X_338,inverse(multiply(X_338,Y))),Y)),multiply(X_340,commutator(Y,X_338))) )],[refute_0_5401,refute_0_5404]) ).
cnf(refute_0_5406,plain,
inverse(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y)) = inverse(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y)),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y)))]]) ).
cnf(refute_0_5407,plain,
( multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y) != multiply(X_340,commutator(Y,X_338))
| inverse(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y)) != inverse(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y))
| inverse(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y)) = inverse(multiply(X_340,commutator(Y,X_338))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y)),inverse(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y))) ),[1,0],$fot(multiply(X_340,commutator(Y,X_338)))]]) ).
cnf(refute_0_5408,plain,
( multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y) != multiply(X_340,commutator(Y,X_338))
| inverse(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y)) = inverse(multiply(X_340,commutator(Y,X_338))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y)),inverse(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y))) )],[refute_0_5406,refute_0_5407]) ).
cnf(refute_0_5409,plain,
inverse(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y)) = inverse(multiply(X_340,commutator(Y,X_338))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y),multiply(X_340,commutator(Y,X_338))) )],[refute_0_5405,refute_0_5408]) ).
cnf(refute_0_5410,plain,
multiply(inverse(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y)),multiply(commutator(Y,multiply(X_340,X_338)),X_340)) = multiply(inverse(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y)),multiply(commutator(Y,multiply(X_340,X_338)),X_340)),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y)),multiply(commutator(Y,multiply(X_340,X_338)),X_340)))]]) ).
cnf(refute_0_5411,plain,
( multiply(inverse(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y)),multiply(commutator(Y,multiply(X_340,X_338)),X_340)) != multiply(inverse(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y)),multiply(commutator(Y,multiply(X_340,X_338)),X_340))
| inverse(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y)) != inverse(multiply(X_340,commutator(Y,X_338)))
| multiply(inverse(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y)),multiply(commutator(Y,multiply(X_340,X_338)),X_340)) = multiply(inverse(multiply(X_340,commutator(Y,X_338))),multiply(commutator(Y,multiply(X_340,X_338)),X_340)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y)),multiply(commutator(Y,multiply(X_340,X_338)),X_340)),multiply(inverse(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y)),multiply(commutator(Y,multiply(X_340,X_338)),X_340))) ),[1,0],$fot(inverse(multiply(X_340,commutator(Y,X_338))))]]) ).
cnf(refute_0_5412,plain,
( inverse(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y)) != inverse(multiply(X_340,commutator(Y,X_338)))
| multiply(inverse(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y)),multiply(commutator(Y,multiply(X_340,X_338)),X_340)) = multiply(inverse(multiply(X_340,commutator(Y,X_338))),multiply(commutator(Y,multiply(X_340,X_338)),X_340)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y)),multiply(commutator(Y,multiply(X_340,X_338)),X_340)),multiply(inverse(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y)),multiply(commutator(Y,multiply(X_340,X_338)),X_340))) )],[refute_0_5410,refute_0_5411]) ).
cnf(refute_0_5413,plain,
multiply(inverse(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y)),multiply(commutator(Y,multiply(X_340,X_338)),X_340)) = multiply(inverse(multiply(X_340,commutator(Y,X_338))),multiply(commutator(Y,multiply(X_340,X_338)),X_340)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y)),inverse(multiply(X_340,commutator(Y,X_338)))) )],[refute_0_5409,refute_0_5412]) ).
cnf(refute_0_5414,plain,
( multiply(inverse(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y)),multiply(commutator(Y,multiply(X_340,X_338)),X_340)) != multiply(inverse(multiply(X_340,commutator(Y,X_338))),multiply(commutator(Y,multiply(X_340,X_338)),X_340))
| commutator(Y,multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y))))) != multiply(inverse(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y)),multiply(commutator(Y,multiply(X_340,X_338)),X_340))
| commutator(Y,multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y))))) = multiply(inverse(multiply(X_340,commutator(Y,X_338))),multiply(commutator(Y,multiply(X_340,X_338)),X_340)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(Y,multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y))))),multiply(inverse(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y)),multiply(commutator(Y,multiply(X_340,X_338)),X_340))) ),[1],$fot(multiply(inverse(multiply(X_340,commutator(Y,X_338))),multiply(commutator(Y,multiply(X_340,X_338)),X_340)))]]) ).
cnf(refute_0_5415,plain,
( commutator(Y,multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y))))) != multiply(inverse(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y)),multiply(commutator(Y,multiply(X_340,X_338)),X_340))
| commutator(Y,multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y))))) = multiply(inverse(multiply(X_340,commutator(Y,X_338))),multiply(commutator(Y,multiply(X_340,X_338)),X_340)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y)),multiply(commutator(Y,multiply(X_340,X_338)),X_340)),multiply(inverse(multiply(X_340,commutator(Y,X_338))),multiply(commutator(Y,multiply(X_340,X_338)),X_340))) )],[refute_0_5413,refute_0_5414]) ).
cnf(refute_0_5416,plain,
commutator(Y,multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y))))) = multiply(inverse(multiply(X_340,commutator(Y,X_338))),multiply(commutator(Y,multiply(X_340,X_338)),X_340)),
inference(resolve,[$cnf( $equal(commutator(Y,multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y))))),multiply(inverse(multiply(multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y)))),Y)),multiply(commutator(Y,multiply(X_340,X_338)),X_340))) )],[refute_0_5392,refute_0_5415]) ).
cnf(refute_0_5417,plain,
multiply(inverse(multiply(X_340,commutator(Y,X_338))),multiply(commutator(Y,multiply(X_340,X_338)),X_340)) = multiply(commutator(X_338,Y),multiply(inverse(X_340),multiply(commutator(Y,multiply(X_340,X_338)),X_340))),
inference(subst,[],[refute_0_666:[bind(X_366,$fot(multiply(commutator(Y,multiply(X_340,X_338)),X_340))),bind(X_367,$fot(X_340)),bind(X_65,$fot(Y)),bind(X_66,$fot(X_338))]]) ).
cnf(refute_0_5418,plain,
( multiply(inverse(multiply(X_340,commutator(Y,X_338))),multiply(commutator(Y,multiply(X_340,X_338)),X_340)) != multiply(commutator(X_338,Y),multiply(inverse(X_340),multiply(commutator(Y,multiply(X_340,X_338)),X_340)))
| commutator(Y,multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y))))) != multiply(inverse(multiply(X_340,commutator(Y,X_338))),multiply(commutator(Y,multiply(X_340,X_338)),X_340))
| commutator(Y,multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y))))) = multiply(commutator(X_338,Y),multiply(inverse(X_340),multiply(commutator(Y,multiply(X_340,X_338)),X_340))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(Y,multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y))))),multiply(inverse(multiply(X_340,commutator(Y,X_338))),multiply(commutator(Y,multiply(X_340,X_338)),X_340))) ),[1],$fot(multiply(commutator(X_338,Y),multiply(inverse(X_340),multiply(commutator(Y,multiply(X_340,X_338)),X_340))))]]) ).
cnf(refute_0_5419,plain,
( commutator(Y,multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y))))) != multiply(inverse(multiply(X_340,commutator(Y,X_338))),multiply(commutator(Y,multiply(X_340,X_338)),X_340))
| commutator(Y,multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y))))) = multiply(commutator(X_338,Y),multiply(inverse(X_340),multiply(commutator(Y,multiply(X_340,X_338)),X_340))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_340,commutator(Y,X_338))),multiply(commutator(Y,multiply(X_340,X_338)),X_340)),multiply(commutator(X_338,Y),multiply(inverse(X_340),multiply(commutator(Y,multiply(X_340,X_338)),X_340)))) )],[refute_0_5417,refute_0_5418]) ).
cnf(refute_0_5420,plain,
commutator(Y,multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y))))) = multiply(commutator(X_338,Y),multiply(inverse(X_340),multiply(commutator(Y,multiply(X_340,X_338)),X_340))),
inference(resolve,[$cnf( $equal(commutator(Y,multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y))))),multiply(inverse(multiply(X_340,commutator(Y,X_338))),multiply(commutator(Y,multiply(X_340,X_338)),X_340))) )],[refute_0_5416,refute_0_5419]) ).
cnf(refute_0_5421,plain,
commutator(multiply(X_162,inverse(commutator(X_506,X_507))),multiply(commutator(X_506,X_507),inverse(X_507))) = multiply(commutator(X_506,X_507),multiply(inverse(multiply(commutator(X_506,X_507),multiply(inverse(X_507),X_162))),multiply(X_162,inverse(X_507)))),
inference(subst,[],[refute_0_1641:[bind(X_10,$fot(commutator(X_506,X_507))),bind(X_11,$fot(inverse(X_507)))]]) ).
cnf(refute_0_5422,plain,
multiply(commutator(X_506,X_507),multiply(inverse(X_507),X_162)) = multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162)),
inference(subst,[],[refute_0_2844:[bind(Z,$fot(X_162)),bind(X_255,$fot(X_506)),bind(X_256,$fot(X_507))]]) ).
cnf(refute_0_5423,plain,
( multiply(commutator(X_506,X_507),multiply(inverse(X_507),X_162)) != multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))
| commutator(multiply(X_162,inverse(commutator(X_506,X_507))),multiply(commutator(X_506,X_507),inverse(X_507))) != multiply(commutator(X_506,X_507),multiply(inverse(multiply(commutator(X_506,X_507),multiply(inverse(X_507),X_162))),multiply(X_162,inverse(X_507))))
| commutator(multiply(X_162,inverse(commutator(X_506,X_507))),multiply(commutator(X_506,X_507),inverse(X_507))) = multiply(commutator(X_506,X_507),multiply(inverse(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))),multiply(X_162,inverse(X_507)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_162,inverse(commutator(X_506,X_507))),multiply(commutator(X_506,X_507),inverse(X_507))),multiply(commutator(X_506,X_507),multiply(inverse(multiply(commutator(X_506,X_507),multiply(inverse(X_507),X_162))),multiply(X_162,inverse(X_507))))) ),[1,1,0,0],$fot(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162)))]]) ).
cnf(refute_0_5424,plain,
( commutator(multiply(X_162,inverse(commutator(X_506,X_507))),multiply(commutator(X_506,X_507),inverse(X_507))) != multiply(commutator(X_506,X_507),multiply(inverse(multiply(commutator(X_506,X_507),multiply(inverse(X_507),X_162))),multiply(X_162,inverse(X_507))))
| commutator(multiply(X_162,inverse(commutator(X_506,X_507))),multiply(commutator(X_506,X_507),inverse(X_507))) = multiply(commutator(X_506,X_507),multiply(inverse(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))),multiply(X_162,inverse(X_507)))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_506,X_507),multiply(inverse(X_507),X_162)),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))) )],[refute_0_5422,refute_0_5423]) ).
cnf(refute_0_5425,plain,
commutator(multiply(X_162,inverse(commutator(X_506,X_507))),multiply(commutator(X_506,X_507),inverse(X_507))) = multiply(commutator(X_506,X_507),multiply(inverse(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))),multiply(X_162,inverse(X_507)))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_162,inverse(commutator(X_506,X_507))),multiply(commutator(X_506,X_507),inverse(X_507))),multiply(commutator(X_506,X_507),multiply(inverse(multiply(commutator(X_506,X_507),multiply(inverse(X_507),X_162))),multiply(X_162,inverse(X_507))))) )],[refute_0_5421,refute_0_5424]) ).
cnf(refute_0_5426,plain,
commutator(multiply(X_162,inverse(X_507)),inverse(multiply(X_507,commutator(X_507,X_506)))) = commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,inverse(X_507))),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(multiply(X_507,commutator(X_507,X_506)))),bind(X_110,$fot(multiply(X_162,inverse(X_507))))]]) ).
cnf(refute_0_5427,plain,
multiply(commutator(X_506,X_507),inverse(X_507)) = inverse(multiply(X_507,commutator(X_507,X_506))),
inference(subst,[],[refute_0_378:[bind(X_58,$fot(X_507)),bind(X_65,$fot(X_506)),bind(X_66,$fot(X_507))]]) ).
cnf(refute_0_5428,plain,
commutator(multiply(X_162,inverse(X_507)),multiply(commutator(X_506,X_507),inverse(X_507))) = commutator(multiply(X_162,inverse(X_507)),multiply(commutator(X_506,X_507),inverse(X_507))),
introduced(tautology,[refl,[$fot(commutator(multiply(X_162,inverse(X_507)),multiply(commutator(X_506,X_507),inverse(X_507))))]]) ).
cnf(refute_0_5429,plain,
( multiply(commutator(X_506,X_507),inverse(X_507)) != inverse(multiply(X_507,commutator(X_507,X_506)))
| commutator(multiply(X_162,inverse(X_507)),multiply(commutator(X_506,X_507),inverse(X_507))) != commutator(multiply(X_162,inverse(X_507)),multiply(commutator(X_506,X_507),inverse(X_507)))
| commutator(multiply(X_162,inverse(X_507)),multiply(commutator(X_506,X_507),inverse(X_507))) = commutator(multiply(X_162,inverse(X_507)),inverse(multiply(X_507,commutator(X_507,X_506)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_162,inverse(X_507)),multiply(commutator(X_506,X_507),inverse(X_507))),commutator(multiply(X_162,inverse(X_507)),multiply(commutator(X_506,X_507),inverse(X_507)))) ),[1,1],$fot(inverse(multiply(X_507,commutator(X_507,X_506))))]]) ).
cnf(refute_0_5430,plain,
( multiply(commutator(X_506,X_507),inverse(X_507)) != inverse(multiply(X_507,commutator(X_507,X_506)))
| commutator(multiply(X_162,inverse(X_507)),multiply(commutator(X_506,X_507),inverse(X_507))) = commutator(multiply(X_162,inverse(X_507)),inverse(multiply(X_507,commutator(X_507,X_506)))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_162,inverse(X_507)),multiply(commutator(X_506,X_507),inverse(X_507))),commutator(multiply(X_162,inverse(X_507)),multiply(commutator(X_506,X_507),inverse(X_507)))) )],[refute_0_5428,refute_0_5429]) ).
cnf(refute_0_5431,plain,
commutator(multiply(X_162,inverse(X_507)),multiply(commutator(X_506,X_507),inverse(X_507))) = commutator(multiply(X_162,inverse(X_507)),inverse(multiply(X_507,commutator(X_507,X_506)))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_506,X_507),inverse(X_507)),inverse(multiply(X_507,commutator(X_507,X_506)))) )],[refute_0_5427,refute_0_5430]) ).
cnf(refute_0_5432,plain,
( commutator(multiply(X_162,inverse(X_507)),multiply(commutator(X_506,X_507),inverse(X_507))) != commutator(multiply(X_162,inverse(X_507)),inverse(multiply(X_507,commutator(X_507,X_506))))
| commutator(multiply(X_162,inverse(X_507)),inverse(multiply(X_507,commutator(X_507,X_506)))) != commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,inverse(X_507)))
| commutator(multiply(X_162,inverse(X_507)),multiply(commutator(X_506,X_507),inverse(X_507))) = commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,inverse(X_507))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_162,inverse(X_507)),multiply(commutator(X_506,X_507),inverse(X_507))))),bind(Y0,$fot(commutator(multiply(X_162,inverse(X_507)),inverse(multiply(X_507,commutator(X_507,X_506)))))),bind(Z0,$fot(commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,inverse(X_507)))))]]) ).
cnf(refute_0_5433,plain,
( commutator(multiply(X_162,inverse(X_507)),inverse(multiply(X_507,commutator(X_507,X_506)))) != commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,inverse(X_507)))
| commutator(multiply(X_162,inverse(X_507)),multiply(commutator(X_506,X_507),inverse(X_507))) = commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,inverse(X_507))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_162,inverse(X_507)),multiply(commutator(X_506,X_507),inverse(X_507))),commutator(multiply(X_162,inverse(X_507)),inverse(multiply(X_507,commutator(X_507,X_506))))) )],[refute_0_5431,refute_0_5432]) ).
cnf(refute_0_5434,plain,
commutator(multiply(X_162,inverse(X_507)),multiply(commutator(X_506,X_507),inverse(X_507))) = commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,inverse(X_507))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_162,inverse(X_507)),inverse(multiply(X_507,commutator(X_507,X_506)))),commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,inverse(X_507)))) )],[refute_0_5426,refute_0_5433]) ).
cnf(refute_0_5435,plain,
commutator(multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)),multiply(X_162,inverse(X_10))) = commutator(multiply(X_10,X_161),multiply(X_162,inverse(X_10))),
inference(subst,[],[refute_0_951:[bind(Y,$fot(multiply(X_162,inverse(X_10)))),bind(X_86,$fot(multiply(X_10,X_161)))]]) ).
cnf(refute_0_5436,plain,
( commutator(multiply(X_10,X_161),multiply(X_162,X_161)) != commutator(multiply(X_10,X_161),multiply(X_162,inverse(X_10)))
| commutator(multiply(X_10,X_161),multiply(X_162,inverse(X_10))) = commutator(multiply(X_10,X_161),multiply(X_162,X_161)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(multiply(X_10,X_161),multiply(X_162,X_161)))),bind(Y0,$fot(commutator(multiply(X_10,X_161),multiply(X_162,inverse(X_10)))))]]) ).
cnf(refute_0_5437,plain,
commutator(multiply(X_10,X_161),multiply(X_162,inverse(X_10))) = commutator(multiply(X_10,X_161),multiply(X_162,X_161)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_10,X_161),multiply(X_162,X_161)),commutator(multiply(X_10,X_161),multiply(X_162,inverse(X_10)))) )],[refute_0_1692,refute_0_5436]) ).
cnf(refute_0_5438,plain,
( commutator(multiply(X_10,X_161),multiply(X_162,inverse(X_10))) != commutator(multiply(X_10,X_161),multiply(X_162,X_161))
| commutator(multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)),multiply(X_162,inverse(X_10))) != commutator(multiply(X_10,X_161),multiply(X_162,inverse(X_10)))
| commutator(multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)),multiply(X_162,inverse(X_10))) = commutator(multiply(X_10,X_161),multiply(X_162,X_161)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)),multiply(X_162,inverse(X_10))),commutator(multiply(X_10,X_161),multiply(X_162,inverse(X_10)))) ),[1],$fot(commutator(multiply(X_10,X_161),multiply(X_162,X_161)))]]) ).
cnf(refute_0_5439,plain,
( commutator(multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)),multiply(X_162,inverse(X_10))) != commutator(multiply(X_10,X_161),multiply(X_162,inverse(X_10)))
| commutator(multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)),multiply(X_162,inverse(X_10))) = commutator(multiply(X_10,X_161),multiply(X_162,X_161)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_10,X_161),multiply(X_162,inverse(X_10))),commutator(multiply(X_10,X_161),multiply(X_162,X_161))) )],[refute_0_5437,refute_0_5438]) ).
cnf(refute_0_5440,plain,
commutator(multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)),multiply(X_162,inverse(X_10))) = commutator(multiply(X_10,X_161),multiply(X_162,X_161)),
inference(resolve,[$cnf( $equal(commutator(multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)),multiply(X_162,inverse(X_10))),commutator(multiply(X_10,X_161),multiply(X_162,inverse(X_10)))) )],[refute_0_5435,refute_0_5439]) ).
cnf(refute_0_5441,plain,
multiply(inverse(X_10),multiply(X_10,X_161)) = X_161,
inference(subst,[],[refute_0_39:[bind(X_11,$fot(X_161))]]) ).
cnf(refute_0_5442,plain,
multiply(X_162,multiply(inverse(X_10),multiply(X_10,X_161))) = multiply(X_162,multiply(inverse(X_10),multiply(X_10,X_161))),
introduced(tautology,[refl,[$fot(multiply(X_162,multiply(inverse(X_10),multiply(X_10,X_161))))]]) ).
cnf(refute_0_5443,plain,
( multiply(X_162,multiply(inverse(X_10),multiply(X_10,X_161))) != multiply(X_162,multiply(inverse(X_10),multiply(X_10,X_161)))
| multiply(inverse(X_10),multiply(X_10,X_161)) != X_161
| multiply(X_162,multiply(inverse(X_10),multiply(X_10,X_161))) = multiply(X_162,X_161) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_162,multiply(inverse(X_10),multiply(X_10,X_161))),multiply(X_162,multiply(inverse(X_10),multiply(X_10,X_161)))) ),[1,1],$fot(X_161)]]) ).
cnf(refute_0_5444,plain,
( multiply(inverse(X_10),multiply(X_10,X_161)) != X_161
| multiply(X_162,multiply(inverse(X_10),multiply(X_10,X_161))) = multiply(X_162,X_161) ),
inference(resolve,[$cnf( $equal(multiply(X_162,multiply(inverse(X_10),multiply(X_10,X_161))),multiply(X_162,multiply(inverse(X_10),multiply(X_10,X_161)))) )],[refute_0_5442,refute_0_5443]) ).
cnf(refute_0_5445,plain,
multiply(X_162,multiply(inverse(X_10),multiply(X_10,X_161))) = multiply(X_162,X_161),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),multiply(X_10,X_161)),X_161) )],[refute_0_5441,refute_0_5444]) ).
cnf(refute_0_5446,plain,
multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)) = multiply(X_162,multiply(inverse(X_10),multiply(X_10,X_161))),
inference(subst,[],[associativity:[bind(X,$fot(X_162)),bind(Y,$fot(inverse(X_10))),bind(Z,$fot(multiply(X_10,X_161)))]]) ).
cnf(refute_0_5447,plain,
( multiply(X_162,multiply(inverse(X_10),multiply(X_10,X_161))) != multiply(X_162,X_161)
| multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)) != multiply(X_162,multiply(inverse(X_10),multiply(X_10,X_161)))
| multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)) = multiply(X_162,X_161) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)))),bind(Y0,$fot(multiply(X_162,multiply(inverse(X_10),multiply(X_10,X_161))))),bind(Z0,$fot(multiply(X_162,X_161)))]]) ).
cnf(refute_0_5448,plain,
( multiply(X_162,multiply(inverse(X_10),multiply(X_10,X_161))) != multiply(X_162,X_161)
| multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)) = multiply(X_162,X_161) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)),multiply(X_162,multiply(inverse(X_10),multiply(X_10,X_161)))) )],[refute_0_5446,refute_0_5447]) ).
cnf(refute_0_5449,plain,
multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)) = multiply(X_162,X_161),
inference(resolve,[$cnf( $equal(multiply(X_162,multiply(inverse(X_10),multiply(X_10,X_161))),multiply(X_162,X_161)) )],[refute_0_5445,refute_0_5448]) ).
cnf(refute_0_5450,plain,
commutator(multiply(X_10,inverse(X_162)),multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161))) = commutator(multiply(X_10,inverse(X_162)),multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161))),
introduced(tautology,[refl,[$fot(commutator(multiply(X_10,inverse(X_162)),multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161))))]]) ).
cnf(refute_0_5451,plain,
( multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)) != multiply(X_162,X_161)
| commutator(multiply(X_10,inverse(X_162)),multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161))) != commutator(multiply(X_10,inverse(X_162)),multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)))
| commutator(multiply(X_10,inverse(X_162)),multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161))) = commutator(multiply(X_10,inverse(X_162)),multiply(X_162,X_161)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_10,inverse(X_162)),multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161))),commutator(multiply(X_10,inverse(X_162)),multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)))) ),[1,1],$fot(multiply(X_162,X_161))]]) ).
cnf(refute_0_5452,plain,
( multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)) != multiply(X_162,X_161)
| commutator(multiply(X_10,inverse(X_162)),multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161))) = commutator(multiply(X_10,inverse(X_162)),multiply(X_162,X_161)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_10,inverse(X_162)),multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161))),commutator(multiply(X_10,inverse(X_162)),multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)))) )],[refute_0_5450,refute_0_5451]) ).
cnf(refute_0_5453,plain,
commutator(multiply(X_10,inverse(X_162)),multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161))) = commutator(multiply(X_10,inverse(X_162)),multiply(X_162,X_161)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)),multiply(X_162,X_161)) )],[refute_0_5449,refute_0_5452]) ).
cnf(refute_0_5454,plain,
commutator(multiply(X_162,multiply(X_10,inverse(X_162))),X_160) = multiply(inverse(multiply(X_160,multiply(X_162,multiply(X_10,inverse(X_162))))),multiply(X_162,multiply(multiply(X_10,inverse(X_162)),X_160))),
inference(subst,[],[refute_0_713:[bind(Y,$fot(X_160)),bind(X_10,$fot(multiply(X_10,inverse(X_162)))),bind(X_9,$fot(X_162))]]) ).
cnf(refute_0_5455,plain,
multiply(X_162,multiply(X_10,inverse(X_162))) = multiply(X_10,commutator(X_162,X_10)),
inference(subst,[],[refute_0_933:[bind(X_90,$fot(X_162))]]) ).
cnf(refute_0_5456,plain,
( multiply(X_162,multiply(X_10,inverse(X_162))) != multiply(X_10,commutator(X_162,X_10))
| commutator(multiply(X_162,multiply(X_10,inverse(X_162))),X_160) != multiply(inverse(multiply(X_160,multiply(X_162,multiply(X_10,inverse(X_162))))),multiply(X_162,multiply(multiply(X_10,inverse(X_162)),X_160)))
| commutator(multiply(X_10,commutator(X_162,X_10)),X_160) = multiply(inverse(multiply(X_160,multiply(X_162,multiply(X_10,inverse(X_162))))),multiply(X_162,multiply(multiply(X_10,inverse(X_162)),X_160))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_162,multiply(X_10,inverse(X_162))),X_160),multiply(inverse(multiply(X_160,multiply(X_162,multiply(X_10,inverse(X_162))))),multiply(X_162,multiply(multiply(X_10,inverse(X_162)),X_160)))) ),[0,0],$fot(multiply(X_10,commutator(X_162,X_10)))]]) ).
cnf(refute_0_5457,plain,
( commutator(multiply(X_162,multiply(X_10,inverse(X_162))),X_160) != multiply(inverse(multiply(X_160,multiply(X_162,multiply(X_10,inverse(X_162))))),multiply(X_162,multiply(multiply(X_10,inverse(X_162)),X_160)))
| commutator(multiply(X_10,commutator(X_162,X_10)),X_160) = multiply(inverse(multiply(X_160,multiply(X_162,multiply(X_10,inverse(X_162))))),multiply(X_162,multiply(multiply(X_10,inverse(X_162)),X_160))) ),
inference(resolve,[$cnf( $equal(multiply(X_162,multiply(X_10,inverse(X_162))),multiply(X_10,commutator(X_162,X_10))) )],[refute_0_5455,refute_0_5456]) ).
cnf(refute_0_5458,plain,
commutator(multiply(X_10,commutator(X_162,X_10)),X_160) = multiply(inverse(multiply(X_160,multiply(X_162,multiply(X_10,inverse(X_162))))),multiply(X_162,multiply(multiply(X_10,inverse(X_162)),X_160))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_162,multiply(X_10,inverse(X_162))),X_160),multiply(inverse(multiply(X_160,multiply(X_162,multiply(X_10,inverse(X_162))))),multiply(X_162,multiply(multiply(X_10,inverse(X_162)),X_160)))) )],[refute_0_5454,refute_0_5457]) ).
cnf(refute_0_5459,plain,
multiply(inverse(multiply(X_160,multiply(X_162,multiply(X_10,inverse(X_162))))),multiply(X_162,multiply(multiply(X_10,inverse(X_162)),X_160))) = commutator(multiply(X_162,multiply(X_10,inverse(X_162))),X_160),
inference(subst,[],[refute_0_1178:[bind(Y,$fot(X_160)),bind(X_10,$fot(multiply(X_10,inverse(X_162)))),bind(X_9,$fot(X_162))]]) ).
cnf(refute_0_5460,plain,
( multiply(inverse(multiply(X_160,multiply(X_162,multiply(X_10,inverse(X_162))))),multiply(X_162,multiply(multiply(X_10,inverse(X_162)),X_160))) != commutator(multiply(X_162,multiply(X_10,inverse(X_162))),X_160)
| commutator(multiply(X_10,commutator(X_162,X_10)),X_160) != multiply(inverse(multiply(X_160,multiply(X_162,multiply(X_10,inverse(X_162))))),multiply(X_162,multiply(multiply(X_10,inverse(X_162)),X_160)))
| commutator(multiply(X_10,commutator(X_162,X_10)),X_160) = commutator(multiply(X_162,multiply(X_10,inverse(X_162))),X_160) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_10,commutator(X_162,X_10)),X_160),multiply(inverse(multiply(X_160,multiply(X_162,multiply(X_10,inverse(X_162))))),multiply(X_162,multiply(multiply(X_10,inverse(X_162)),X_160)))) ),[1],$fot(commutator(multiply(X_162,multiply(X_10,inverse(X_162))),X_160))]]) ).
cnf(refute_0_5461,plain,
( commutator(multiply(X_10,commutator(X_162,X_10)),X_160) != multiply(inverse(multiply(X_160,multiply(X_162,multiply(X_10,inverse(X_162))))),multiply(X_162,multiply(multiply(X_10,inverse(X_162)),X_160)))
| commutator(multiply(X_10,commutator(X_162,X_10)),X_160) = commutator(multiply(X_162,multiply(X_10,inverse(X_162))),X_160) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_160,multiply(X_162,multiply(X_10,inverse(X_162))))),multiply(X_162,multiply(multiply(X_10,inverse(X_162)),X_160))),commutator(multiply(X_162,multiply(X_10,inverse(X_162))),X_160)) )],[refute_0_5459,refute_0_5460]) ).
cnf(refute_0_5462,plain,
commutator(multiply(X_10,commutator(X_162,X_10)),X_160) = commutator(multiply(X_162,multiply(X_10,inverse(X_162))),X_160),
inference(resolve,[$cnf( $equal(commutator(multiply(X_10,commutator(X_162,X_10)),X_160),multiply(inverse(multiply(X_160,multiply(X_162,multiply(X_10,inverse(X_162))))),multiply(X_162,multiply(multiply(X_10,inverse(X_162)),X_160)))) )],[refute_0_5458,refute_0_5461]) ).
cnf(refute_0_5463,plain,
commutator(multiply(inverse(multiply(inverse(X_382),X_10)),commutator(X_382,inverse(multiply(inverse(X_382),X_10)))),X_381) = commutator(multiply(X_382,multiply(inverse(multiply(inverse(X_382),X_10)),inverse(X_382))),X_381),
inference(subst,[],[refute_0_5462:[bind(X_10,$fot(inverse(multiply(inverse(X_382),X_10)))),bind(X_160,$fot(X_381)),bind(X_162,$fot(X_382))]]) ).
cnf(refute_0_5464,plain,
multiply(inverse(multiply(inverse(X_382),X_10)),inverse(X_382)) = inverse(X_10),
inference(subst,[],[refute_0_208:[bind(X_58,$fot(inverse(X_382)))]]) ).
cnf(refute_0_5465,plain,
( multiply(inverse(multiply(inverse(X_382),X_10)),inverse(X_382)) != inverse(X_10)
| commutator(multiply(inverse(multiply(inverse(X_382),X_10)),commutator(X_382,inverse(multiply(inverse(X_382),X_10)))),X_381) != commutator(multiply(X_382,multiply(inverse(multiply(inverse(X_382),X_10)),inverse(X_382))),X_381)
| commutator(multiply(inverse(multiply(inverse(X_382),X_10)),commutator(X_382,inverse(multiply(inverse(X_382),X_10)))),X_381) = commutator(multiply(X_382,inverse(X_10)),X_381) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(multiply(inverse(X_382),X_10)),commutator(X_382,inverse(multiply(inverse(X_382),X_10)))),X_381),commutator(multiply(X_382,multiply(inverse(multiply(inverse(X_382),X_10)),inverse(X_382))),X_381)) ),[1,0,1],$fot(inverse(X_10))]]) ).
cnf(refute_0_5466,plain,
( commutator(multiply(inverse(multiply(inverse(X_382),X_10)),commutator(X_382,inverse(multiply(inverse(X_382),X_10)))),X_381) != commutator(multiply(X_382,multiply(inverse(multiply(inverse(X_382),X_10)),inverse(X_382))),X_381)
| commutator(multiply(inverse(multiply(inverse(X_382),X_10)),commutator(X_382,inverse(multiply(inverse(X_382),X_10)))),X_381) = commutator(multiply(X_382,inverse(X_10)),X_381) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_382),X_10)),inverse(X_382)),inverse(X_10)) )],[refute_0_5464,refute_0_5465]) ).
cnf(refute_0_5467,plain,
commutator(multiply(inverse(multiply(inverse(X_382),X_10)),commutator(X_382,inverse(multiply(inverse(X_382),X_10)))),X_381) = commutator(multiply(X_382,inverse(X_10)),X_381),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(multiply(inverse(X_382),X_10)),commutator(X_382,inverse(multiply(inverse(X_382),X_10)))),X_381),commutator(multiply(X_382,multiply(inverse(multiply(inverse(X_382),X_10)),inverse(X_382))),X_381)) )],[refute_0_5463,refute_0_5466]) ).
cnf(refute_0_5468,plain,
inverse(multiply(X_382,inverse(X_10))) = multiply(X_10,inverse(X_382)),
inference(subst,[],[refute_0_180:[bind(X,$fot(X_10)),bind(X_58,$fot(X_382))]]) ).
cnf(refute_0_5469,plain,
multiply(X_382,inverse(multiply(X_382,multiply(inverse(X_10),X_382)))) = inverse(multiply(X_382,inverse(X_10))),
inference(subst,[],[refute_0_1367:[bind(X,$fot(X_382)),bind(Y,$fot(inverse(X_10))),bind(X_59,$fot(X_382))]]) ).
cnf(refute_0_5470,plain,
( multiply(X_382,inverse(multiply(X_382,multiply(inverse(X_10),X_382)))) != inverse(multiply(X_382,inverse(X_10)))
| inverse(multiply(X_382,inverse(X_10))) != multiply(X_10,inverse(X_382))
| multiply(X_382,inverse(multiply(X_382,multiply(inverse(X_10),X_382)))) = multiply(X_10,inverse(X_382)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_382,inverse(multiply(X_382,multiply(inverse(X_10),X_382)))))),bind(Y0,$fot(inverse(multiply(X_382,inverse(X_10))))),bind(Z0,$fot(multiply(X_10,inverse(X_382))))]]) ).
cnf(refute_0_5471,plain,
( inverse(multiply(X_382,inverse(X_10))) != multiply(X_10,inverse(X_382))
| multiply(X_382,inverse(multiply(X_382,multiply(inverse(X_10),X_382)))) = multiply(X_10,inverse(X_382)) ),
inference(resolve,[$cnf( $equal(multiply(X_382,inverse(multiply(X_382,multiply(inverse(X_10),X_382)))),inverse(multiply(X_382,inverse(X_10)))) )],[refute_0_5469,refute_0_5470]) ).
cnf(refute_0_5472,plain,
multiply(X_382,inverse(multiply(X_382,multiply(inverse(X_10),X_382)))) = multiply(X_10,inverse(X_382)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_382,inverse(X_10))),multiply(X_10,inverse(X_382))) )],[refute_0_5468,refute_0_5471]) ).
cnf(refute_0_5473,plain,
multiply(inverse(X_382),multiply(X_10,inverse(X_382))) = inverse(multiply(X_382,multiply(inverse(X_10),X_382))),
inference(subst,[],[refute_0_1684:[bind(X_58,$fot(X_382)),bind(X_73,$fot(X_382)),bind(X_74,$fot(X_10))]]) ).
cnf(refute_0_5474,plain,
multiply(multiply(inverse(X_382),X_10),inverse(X_382)) = multiply(inverse(X_382),multiply(X_10,inverse(X_382))),
inference(subst,[],[associativity:[bind(X,$fot(inverse(X_382))),bind(Y,$fot(X_10)),bind(Z,$fot(inverse(X_382)))]]) ).
cnf(refute_0_5475,plain,
( multiply(multiply(inverse(X_382),X_10),inverse(X_382)) != multiply(inverse(X_382),multiply(X_10,inverse(X_382)))
| multiply(inverse(X_382),multiply(X_10,inverse(X_382))) != inverse(multiply(X_382,multiply(inverse(X_10),X_382)))
| multiply(multiply(inverse(X_382),X_10),inverse(X_382)) = inverse(multiply(X_382,multiply(inverse(X_10),X_382))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(inverse(X_382),X_10),inverse(X_382)))),bind(Y0,$fot(multiply(inverse(X_382),multiply(X_10,inverse(X_382))))),bind(Z0,$fot(inverse(multiply(X_382,multiply(inverse(X_10),X_382)))))]]) ).
cnf(refute_0_5476,plain,
( multiply(inverse(X_382),multiply(X_10,inverse(X_382))) != inverse(multiply(X_382,multiply(inverse(X_10),X_382)))
| multiply(multiply(inverse(X_382),X_10),inverse(X_382)) = inverse(multiply(X_382,multiply(inverse(X_10),X_382))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_382),X_10),inverse(X_382)),multiply(inverse(X_382),multiply(X_10,inverse(X_382)))) )],[refute_0_5474,refute_0_5475]) ).
cnf(refute_0_5477,plain,
multiply(multiply(inverse(X_382),X_10),inverse(X_382)) = inverse(multiply(X_382,multiply(inverse(X_10),X_382))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_382),multiply(X_10,inverse(X_382))),inverse(multiply(X_382,multiply(inverse(X_10),X_382)))) )],[refute_0_5473,refute_0_5476]) ).
cnf(refute_0_5478,plain,
inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10)))) = multiply(multiply(inverse(X_382),X_10),inverse(X_382)),
inference(subst,[],[refute_0_180:[bind(X,$fot(multiply(inverse(X_382),X_10))),bind(X_58,$fot(X_382))]]) ).
cnf(refute_0_5479,plain,
( multiply(multiply(inverse(X_382),X_10),inverse(X_382)) != inverse(multiply(X_382,multiply(inverse(X_10),X_382)))
| inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10)))) != multiply(multiply(inverse(X_382),X_10),inverse(X_382))
| inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10)))) = inverse(multiply(X_382,multiply(inverse(X_10),X_382))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10)))))),bind(Y0,$fot(multiply(multiply(inverse(X_382),X_10),inverse(X_382)))),bind(Z0,$fot(inverse(multiply(X_382,multiply(inverse(X_10),X_382)))))]]) ).
cnf(refute_0_5480,plain,
( multiply(multiply(inverse(X_382),X_10),inverse(X_382)) != inverse(multiply(X_382,multiply(inverse(X_10),X_382)))
| inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10)))) = inverse(multiply(X_382,multiply(inverse(X_10),X_382))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10)))),multiply(multiply(inverse(X_382),X_10),inverse(X_382))) )],[refute_0_5478,refute_0_5479]) ).
cnf(refute_0_5481,plain,
inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10)))) = inverse(multiply(X_382,multiply(inverse(X_10),X_382))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_382),X_10),inverse(X_382)),inverse(multiply(X_382,multiply(inverse(X_10),X_382)))) )],[refute_0_5477,refute_0_5480]) ).
cnf(refute_0_5482,plain,
multiply(X_382,inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10))))) = multiply(X_382,inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10))))),
introduced(tautology,[refl,[$fot(multiply(X_382,inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10))))))]]) ).
cnf(refute_0_5483,plain,
( multiply(X_382,inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10))))) != multiply(X_382,inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10)))))
| inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10)))) != inverse(multiply(X_382,multiply(inverse(X_10),X_382)))
| multiply(X_382,inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10))))) = multiply(X_382,inverse(multiply(X_382,multiply(inverse(X_10),X_382)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_382,inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10))))),multiply(X_382,inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10)))))) ),[1,1],$fot(inverse(multiply(X_382,multiply(inverse(X_10),X_382))))]]) ).
cnf(refute_0_5484,plain,
( inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10)))) != inverse(multiply(X_382,multiply(inverse(X_10),X_382)))
| multiply(X_382,inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10))))) = multiply(X_382,inverse(multiply(X_382,multiply(inverse(X_10),X_382)))) ),
inference(resolve,[$cnf( $equal(multiply(X_382,inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10))))),multiply(X_382,inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10)))))) )],[refute_0_5482,refute_0_5483]) ).
cnf(refute_0_5485,plain,
multiply(X_382,inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10))))) = multiply(X_382,inverse(multiply(X_382,multiply(inverse(X_10),X_382)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10)))),inverse(multiply(X_382,multiply(inverse(X_10),X_382)))) )],[refute_0_5481,refute_0_5484]) ).
cnf(refute_0_5486,plain,
( multiply(X_382,inverse(multiply(X_382,multiply(inverse(X_10),X_382)))) != multiply(X_10,inverse(X_382))
| multiply(X_382,inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10))))) != multiply(X_382,inverse(multiply(X_382,multiply(inverse(X_10),X_382))))
| multiply(X_382,inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10))))) = multiply(X_10,inverse(X_382)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_382,inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10))))))),bind(Y0,$fot(multiply(X_382,inverse(multiply(X_382,multiply(inverse(X_10),X_382)))))),bind(Z0,$fot(multiply(X_10,inverse(X_382))))]]) ).
cnf(refute_0_5487,plain,
( multiply(X_382,inverse(multiply(X_382,multiply(inverse(X_10),X_382)))) != multiply(X_10,inverse(X_382))
| multiply(X_382,inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10))))) = multiply(X_10,inverse(X_382)) ),
inference(resolve,[$cnf( $equal(multiply(X_382,inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10))))),multiply(X_382,inverse(multiply(X_382,multiply(inverse(X_10),X_382))))) )],[refute_0_5485,refute_0_5486]) ).
cnf(refute_0_5488,plain,
multiply(X_382,inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10))))) = multiply(X_10,inverse(X_382)),
inference(resolve,[$cnf( $equal(multiply(X_382,inverse(multiply(X_382,multiply(inverse(X_10),X_382)))),multiply(X_10,inverse(X_382))) )],[refute_0_5472,refute_0_5487]) ).
cnf(refute_0_5489,plain,
commutator(X_381,multiply(X_382,inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10)))))) = commutator(X_381,multiply(X_382,inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10)))))),
introduced(tautology,[refl,[$fot(commutator(X_381,multiply(X_382,inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10)))))))]]) ).
cnf(refute_0_5490,plain,
( multiply(X_382,inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10))))) != multiply(X_10,inverse(X_382))
| commutator(X_381,multiply(X_382,inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10)))))) != commutator(X_381,multiply(X_382,inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10))))))
| commutator(X_381,multiply(X_382,inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10)))))) = commutator(X_381,multiply(X_10,inverse(X_382))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_381,multiply(X_382,inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10)))))),commutator(X_381,multiply(X_382,inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10))))))) ),[1,1],$fot(multiply(X_10,inverse(X_382)))]]) ).
cnf(refute_0_5491,plain,
( multiply(X_382,inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10))))) != multiply(X_10,inverse(X_382))
| commutator(X_381,multiply(X_382,inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10)))))) = commutator(X_381,multiply(X_10,inverse(X_382))) ),
inference(resolve,[$cnf( $equal(commutator(X_381,multiply(X_382,inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10)))))),commutator(X_381,multiply(X_382,inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10))))))) )],[refute_0_5489,refute_0_5490]) ).
cnf(refute_0_5492,plain,
commutator(X_381,multiply(X_382,inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10)))))) = commutator(X_381,multiply(X_10,inverse(X_382))),
inference(resolve,[$cnf( $equal(multiply(X_382,inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10))))),multiply(X_10,inverse(X_382))) )],[refute_0_5488,refute_0_5491]) ).
cnf(refute_0_5493,plain,
commutator(X_244,multiply(X_246,inverse(multiply(X_246,X_10)))) = multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_246,X_10)),inverse(multiply(X_246,multiply(inverse(multiply(X_246,X_10)),X_244)))))),
inference(subst,[],[refute_0_3260:[bind(X_10,$fot(X_244)),bind(X_161,$fot(inverse(multiply(X_246,X_10)))),bind(X_162,$fot(X_246))]]) ).
cnf(refute_0_5494,plain,
multiply(X_246,inverse(multiply(X_246,X_10))) = inverse(multiply(X_10,commutator(X_246,X_10))),
inference(subst,[],[refute_0_598:[bind(X_58,$fot(X_246))]]) ).
cnf(refute_0_5495,plain,
( multiply(X_246,inverse(multiply(X_246,X_10))) != inverse(multiply(X_10,commutator(X_246,X_10)))
| commutator(X_244,multiply(X_246,inverse(multiply(X_246,X_10)))) != multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_246,X_10)),inverse(multiply(X_246,multiply(inverse(multiply(X_246,X_10)),X_244))))))
| commutator(X_244,inverse(multiply(X_10,commutator(X_246,X_10)))) = multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_246,X_10)),inverse(multiply(X_246,multiply(inverse(multiply(X_246,X_10)),X_244)))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_244,multiply(X_246,inverse(multiply(X_246,X_10)))),multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_246,X_10)),inverse(multiply(X_246,multiply(inverse(multiply(X_246,X_10)),X_244))))))) ),[0,1],$fot(inverse(multiply(X_10,commutator(X_246,X_10))))]]) ).
cnf(refute_0_5496,plain,
( commutator(X_244,multiply(X_246,inverse(multiply(X_246,X_10)))) != multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_246,X_10)),inverse(multiply(X_246,multiply(inverse(multiply(X_246,X_10)),X_244))))))
| commutator(X_244,inverse(multiply(X_10,commutator(X_246,X_10)))) = multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_246,X_10)),inverse(multiply(X_246,multiply(inverse(multiply(X_246,X_10)),X_244)))))) ),
inference(resolve,[$cnf( $equal(multiply(X_246,inverse(multiply(X_246,X_10))),inverse(multiply(X_10,commutator(X_246,X_10)))) )],[refute_0_5494,refute_0_5495]) ).
cnf(refute_0_5497,plain,
commutator(X_244,inverse(multiply(X_10,commutator(X_246,X_10)))) = multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_246,X_10)),inverse(multiply(X_246,multiply(inverse(multiply(X_246,X_10)),X_244)))))),
inference(resolve,[$cnf( $equal(commutator(X_244,multiply(X_246,inverse(multiply(X_246,X_10)))),multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_246,X_10)),inverse(multiply(X_246,multiply(inverse(multiply(X_246,X_10)),X_244))))))) )],[refute_0_5493,refute_0_5496]) ).
cnf(refute_0_5498,plain,
commutator(X_244,inverse(multiply(X_10,commutator(X_246,X_10)))) = commutator(multiply(X_10,commutator(X_246,X_10)),X_244),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(multiply(X_10,commutator(X_246,X_10)))),bind(X_110,$fot(X_244))]]) ).
cnf(refute_0_5499,plain,
( commutator(X_244,inverse(multiply(X_10,commutator(X_246,X_10)))) != multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_246,X_10)),inverse(multiply(X_246,multiply(inverse(multiply(X_246,X_10)),X_244))))))
| commutator(X_244,inverse(multiply(X_10,commutator(X_246,X_10)))) != commutator(multiply(X_10,commutator(X_246,X_10)),X_244)
| commutator(multiply(X_10,commutator(X_246,X_10)),X_244) = multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_246,X_10)),inverse(multiply(X_246,multiply(inverse(multiply(X_246,X_10)),X_244)))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_244,inverse(multiply(X_10,commutator(X_246,X_10)))),multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_246,X_10)),inverse(multiply(X_246,multiply(inverse(multiply(X_246,X_10)),X_244))))))) ),[0],$fot(commutator(multiply(X_10,commutator(X_246,X_10)),X_244))]]) ).
cnf(refute_0_5500,plain,
( commutator(X_244,inverse(multiply(X_10,commutator(X_246,X_10)))) != multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_246,X_10)),inverse(multiply(X_246,multiply(inverse(multiply(X_246,X_10)),X_244))))))
| commutator(multiply(X_10,commutator(X_246,X_10)),X_244) = multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_246,X_10)),inverse(multiply(X_246,multiply(inverse(multiply(X_246,X_10)),X_244)))))) ),
inference(resolve,[$cnf( $equal(commutator(X_244,inverse(multiply(X_10,commutator(X_246,X_10)))),commutator(multiply(X_10,commutator(X_246,X_10)),X_244)) )],[refute_0_5498,refute_0_5499]) ).
cnf(refute_0_5501,plain,
( commutator(X_10,multiply(X_162,X_161)) != multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(X_162,multiply(X_161,X_10))))))
| multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(X_162,multiply(X_161,X_10)))))) = commutator(X_10,multiply(X_162,X_161)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_10,multiply(X_162,X_161)))),bind(Y0,$fot(multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(X_162,multiply(X_161,X_10))))))))]]) ).
cnf(refute_0_5502,plain,
multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(X_162,multiply(X_161,X_10)))))) = commutator(X_10,multiply(X_162,X_161)),
inference(resolve,[$cnf( $equal(commutator(X_10,multiply(X_162,X_161)),multiply(X_10,multiply(X_162,multiply(X_161,inverse(multiply(X_162,multiply(X_161,X_10))))))) )],[refute_0_3260,refute_0_5501]) ).
cnf(refute_0_5503,plain,
multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_246,X_10)),inverse(multiply(X_246,multiply(inverse(multiply(X_246,X_10)),X_244)))))) = commutator(X_244,multiply(X_246,inverse(multiply(X_246,X_10)))),
inference(subst,[],[refute_0_5502:[bind(X_10,$fot(X_244)),bind(X_161,$fot(inverse(multiply(X_246,X_10)))),bind(X_162,$fot(X_246))]]) ).
cnf(refute_0_5504,plain,
( multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_246,X_10)),inverse(multiply(X_246,multiply(inverse(multiply(X_246,X_10)),X_244)))))) != commutator(X_244,multiply(X_246,inverse(multiply(X_246,X_10))))
| commutator(multiply(X_10,commutator(X_246,X_10)),X_244) != multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_246,X_10)),inverse(multiply(X_246,multiply(inverse(multiply(X_246,X_10)),X_244))))))
| commutator(multiply(X_10,commutator(X_246,X_10)),X_244) = commutator(X_244,multiply(X_246,inverse(multiply(X_246,X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_10,commutator(X_246,X_10)),X_244),multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_246,X_10)),inverse(multiply(X_246,multiply(inverse(multiply(X_246,X_10)),X_244))))))) ),[1],$fot(commutator(X_244,multiply(X_246,inverse(multiply(X_246,X_10)))))]]) ).
cnf(refute_0_5505,plain,
( commutator(multiply(X_10,commutator(X_246,X_10)),X_244) != multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_246,X_10)),inverse(multiply(X_246,multiply(inverse(multiply(X_246,X_10)),X_244))))))
| commutator(multiply(X_10,commutator(X_246,X_10)),X_244) = commutator(X_244,multiply(X_246,inverse(multiply(X_246,X_10)))) ),
inference(resolve,[$cnf( $equal(multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_246,X_10)),inverse(multiply(X_246,multiply(inverse(multiply(X_246,X_10)),X_244)))))),commutator(X_244,multiply(X_246,inverse(multiply(X_246,X_10))))) )],[refute_0_5503,refute_0_5504]) ).
cnf(refute_0_5506,plain,
( commutator(X_244,inverse(multiply(X_10,commutator(X_246,X_10)))) != multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_246,X_10)),inverse(multiply(X_246,multiply(inverse(multiply(X_246,X_10)),X_244))))))
| commutator(multiply(X_10,commutator(X_246,X_10)),X_244) = commutator(X_244,multiply(X_246,inverse(multiply(X_246,X_10)))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_10,commutator(X_246,X_10)),X_244),multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_246,X_10)),inverse(multiply(X_246,multiply(inverse(multiply(X_246,X_10)),X_244))))))) )],[refute_0_5500,refute_0_5505]) ).
cnf(refute_0_5507,plain,
commutator(multiply(X_10,commutator(X_246,X_10)),X_244) = commutator(X_244,multiply(X_246,inverse(multiply(X_246,X_10)))),
inference(resolve,[$cnf( $equal(commutator(X_244,inverse(multiply(X_10,commutator(X_246,X_10)))),multiply(X_244,multiply(X_246,multiply(inverse(multiply(X_246,X_10)),inverse(multiply(X_246,multiply(inverse(multiply(X_246,X_10)),X_244))))))) )],[refute_0_5497,refute_0_5506]) ).
cnf(refute_0_5508,plain,
commutator(multiply(inverse(multiply(inverse(X_382),X_10)),commutator(X_382,inverse(multiply(inverse(X_382),X_10)))),X_381) = commutator(X_381,multiply(X_382,inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10)))))),
inference(subst,[],[refute_0_5507:[bind(X_10,$fot(inverse(multiply(inverse(X_382),X_10)))),bind(X_244,$fot(X_381)),bind(X_246,$fot(X_382))]]) ).
cnf(refute_0_5509,plain,
( commutator(X_381,multiply(X_382,inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10)))))) != commutator(X_381,multiply(X_10,inverse(X_382)))
| commutator(multiply(inverse(multiply(inverse(X_382),X_10)),commutator(X_382,inverse(multiply(inverse(X_382),X_10)))),X_381) != commutator(X_381,multiply(X_382,inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10))))))
| commutator(multiply(inverse(multiply(inverse(X_382),X_10)),commutator(X_382,inverse(multiply(inverse(X_382),X_10)))),X_381) = commutator(X_381,multiply(X_10,inverse(X_382))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(inverse(multiply(inverse(X_382),X_10)),commutator(X_382,inverse(multiply(inverse(X_382),X_10)))),X_381))),bind(Y0,$fot(commutator(X_381,multiply(X_382,inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10)))))))),bind(Z0,$fot(commutator(X_381,multiply(X_10,inverse(X_382)))))]]) ).
cnf(refute_0_5510,plain,
( commutator(X_381,multiply(X_382,inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10)))))) != commutator(X_381,multiply(X_10,inverse(X_382)))
| commutator(multiply(inverse(multiply(inverse(X_382),X_10)),commutator(X_382,inverse(multiply(inverse(X_382),X_10)))),X_381) = commutator(X_381,multiply(X_10,inverse(X_382))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(multiply(inverse(X_382),X_10)),commutator(X_382,inverse(multiply(inverse(X_382),X_10)))),X_381),commutator(X_381,multiply(X_382,inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10))))))) )],[refute_0_5508,refute_0_5509]) ).
cnf(refute_0_5511,plain,
commutator(multiply(inverse(multiply(inverse(X_382),X_10)),commutator(X_382,inverse(multiply(inverse(X_382),X_10)))),X_381) = commutator(X_381,multiply(X_10,inverse(X_382))),
inference(resolve,[$cnf( $equal(commutator(X_381,multiply(X_382,inverse(multiply(X_382,inverse(multiply(inverse(X_382),X_10)))))),commutator(X_381,multiply(X_10,inverse(X_382)))) )],[refute_0_5492,refute_0_5510]) ).
cnf(refute_0_5512,plain,
( commutator(multiply(inverse(multiply(inverse(X_382),X_10)),commutator(X_382,inverse(multiply(inverse(X_382),X_10)))),X_381) != commutator(X_381,multiply(X_10,inverse(X_382)))
| commutator(multiply(inverse(multiply(inverse(X_382),X_10)),commutator(X_382,inverse(multiply(inverse(X_382),X_10)))),X_381) != commutator(multiply(X_382,inverse(X_10)),X_381)
| commutator(X_381,multiply(X_10,inverse(X_382))) = commutator(multiply(X_382,inverse(X_10)),X_381) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(multiply(inverse(X_382),X_10)),commutator(X_382,inverse(multiply(inverse(X_382),X_10)))),X_381),commutator(multiply(X_382,inverse(X_10)),X_381)) ),[0],$fot(commutator(X_381,multiply(X_10,inverse(X_382))))]]) ).
cnf(refute_0_5513,plain,
( commutator(multiply(inverse(multiply(inverse(X_382),X_10)),commutator(X_382,inverse(multiply(inverse(X_382),X_10)))),X_381) != commutator(multiply(X_382,inverse(X_10)),X_381)
| commutator(X_381,multiply(X_10,inverse(X_382))) = commutator(multiply(X_382,inverse(X_10)),X_381) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(multiply(inverse(X_382),X_10)),commutator(X_382,inverse(multiply(inverse(X_382),X_10)))),X_381),commutator(X_381,multiply(X_10,inverse(X_382)))) )],[refute_0_5511,refute_0_5512]) ).
cnf(refute_0_5514,plain,
commutator(X_381,multiply(X_10,inverse(X_382))) = commutator(multiply(X_382,inverse(X_10)),X_381),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(multiply(inverse(X_382),X_10)),commutator(X_382,inverse(multiply(inverse(X_382),X_10)))),X_381),commutator(multiply(X_382,inverse(X_10)),X_381)) )],[refute_0_5467,refute_0_5513]) ).
cnf(refute_0_5515,plain,
commutator(multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)),multiply(X_162,inverse(X_10))) = commutator(multiply(X_10,inverse(X_162)),multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161))),
inference(subst,[],[refute_0_5514:[bind(X_10,$fot(X_162)),bind(X_381,$fot(multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)))),bind(X_382,$fot(X_10))]]) ).
cnf(refute_0_5516,plain,
( commutator(multiply(X_10,inverse(X_162)),multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161))) != commutator(multiply(X_10,inverse(X_162)),multiply(X_162,X_161))
| commutator(multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)),multiply(X_162,inverse(X_10))) != commutator(multiply(X_10,inverse(X_162)),multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)))
| commutator(multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)),multiply(X_162,inverse(X_10))) = commutator(multiply(X_10,inverse(X_162)),multiply(X_162,X_161)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)),multiply(X_162,inverse(X_10))))),bind(Y0,$fot(commutator(multiply(X_10,inverse(X_162)),multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161))))),bind(Z0,$fot(commutator(multiply(X_10,inverse(X_162)),multiply(X_162,X_161))))]]) ).
cnf(refute_0_5517,plain,
( commutator(multiply(X_10,inverse(X_162)),multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161))) != commutator(multiply(X_10,inverse(X_162)),multiply(X_162,X_161))
| commutator(multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)),multiply(X_162,inverse(X_10))) = commutator(multiply(X_10,inverse(X_162)),multiply(X_162,X_161)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)),multiply(X_162,inverse(X_10))),commutator(multiply(X_10,inverse(X_162)),multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)))) )],[refute_0_5515,refute_0_5516]) ).
cnf(refute_0_5518,plain,
commutator(multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)),multiply(X_162,inverse(X_10))) = commutator(multiply(X_10,inverse(X_162)),multiply(X_162,X_161)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_10,inverse(X_162)),multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161))),commutator(multiply(X_10,inverse(X_162)),multiply(X_162,X_161))) )],[refute_0_5453,refute_0_5517]) ).
cnf(refute_0_5519,plain,
( commutator(multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)),multiply(X_162,inverse(X_10))) != commutator(multiply(X_10,X_161),multiply(X_162,X_161))
| commutator(multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)),multiply(X_162,inverse(X_10))) != commutator(multiply(X_10,inverse(X_162)),multiply(X_162,X_161))
| commutator(multiply(X_10,inverse(X_162)),multiply(X_162,X_161)) = commutator(multiply(X_10,X_161),multiply(X_162,X_161)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)),multiply(X_162,inverse(X_10))),commutator(multiply(X_10,X_161),multiply(X_162,X_161))) ),[0],$fot(commutator(multiply(X_10,inverse(X_162)),multiply(X_162,X_161)))]]) ).
cnf(refute_0_5520,plain,
( commutator(multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)),multiply(X_162,inverse(X_10))) != commutator(multiply(X_10,X_161),multiply(X_162,X_161))
| commutator(multiply(X_10,inverse(X_162)),multiply(X_162,X_161)) = commutator(multiply(X_10,X_161),multiply(X_162,X_161)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)),multiply(X_162,inverse(X_10))),commutator(multiply(X_10,inverse(X_162)),multiply(X_162,X_161))) )],[refute_0_5518,refute_0_5519]) ).
cnf(refute_0_5521,plain,
commutator(multiply(X_10,inverse(X_162)),multiply(X_162,X_161)) = commutator(multiply(X_10,X_161),multiply(X_162,X_161)),
inference(resolve,[$cnf( $equal(commutator(multiply(multiply(X_162,inverse(X_10)),multiply(X_10,X_161)),multiply(X_162,inverse(X_10))),commutator(multiply(X_10,X_161),multiply(X_162,X_161))) )],[refute_0_5440,refute_0_5520]) ).
cnf(refute_0_5522,plain,
commutator(multiply(X_162,inverse(commutator(X_506,X_507))),multiply(commutator(X_506,X_507),inverse(X_507))) = commutator(multiply(X_162,inverse(X_507)),multiply(commutator(X_506,X_507),inverse(X_507))),
inference(subst,[],[refute_0_5521:[bind(X_10,$fot(X_162)),bind(X_161,$fot(inverse(X_507))),bind(X_162,$fot(commutator(X_506,X_507)))]]) ).
cnf(refute_0_5523,plain,
( commutator(multiply(X_162,inverse(X_507)),multiply(commutator(X_506,X_507),inverse(X_507))) != commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,inverse(X_507)))
| commutator(multiply(X_162,inverse(commutator(X_506,X_507))),multiply(commutator(X_506,X_507),inverse(X_507))) != commutator(multiply(X_162,inverse(X_507)),multiply(commutator(X_506,X_507),inverse(X_507)))
| commutator(multiply(X_162,inverse(commutator(X_506,X_507))),multiply(commutator(X_506,X_507),inverse(X_507))) = commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,inverse(X_507))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_162,inverse(commutator(X_506,X_507))),multiply(commutator(X_506,X_507),inverse(X_507))))),bind(Y0,$fot(commutator(multiply(X_162,inverse(X_507)),multiply(commutator(X_506,X_507),inverse(X_507))))),bind(Z0,$fot(commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,inverse(X_507)))))]]) ).
cnf(refute_0_5524,plain,
( commutator(multiply(X_162,inverse(X_507)),multiply(commutator(X_506,X_507),inverse(X_507))) != commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,inverse(X_507)))
| commutator(multiply(X_162,inverse(commutator(X_506,X_507))),multiply(commutator(X_506,X_507),inverse(X_507))) = commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,inverse(X_507))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_162,inverse(commutator(X_506,X_507))),multiply(commutator(X_506,X_507),inverse(X_507))),commutator(multiply(X_162,inverse(X_507)),multiply(commutator(X_506,X_507),inverse(X_507)))) )],[refute_0_5522,refute_0_5523]) ).
cnf(refute_0_5525,plain,
commutator(multiply(X_162,inverse(commutator(X_506,X_507))),multiply(commutator(X_506,X_507),inverse(X_507))) = commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,inverse(X_507))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_162,inverse(X_507)),multiply(commutator(X_506,X_507),inverse(X_507))),commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,inverse(X_507)))) )],[refute_0_5434,refute_0_5524]) ).
cnf(refute_0_5526,plain,
( commutator(multiply(X_162,inverse(commutator(X_506,X_507))),multiply(commutator(X_506,X_507),inverse(X_507))) != multiply(commutator(X_506,X_507),multiply(inverse(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))),multiply(X_162,inverse(X_507))))
| commutator(multiply(X_162,inverse(commutator(X_506,X_507))),multiply(commutator(X_506,X_507),inverse(X_507))) != commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,inverse(X_507)))
| commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,inverse(X_507))) = multiply(commutator(X_506,X_507),multiply(inverse(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))),multiply(X_162,inverse(X_507)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_162,inverse(commutator(X_506,X_507))),multiply(commutator(X_506,X_507),inverse(X_507))),multiply(commutator(X_506,X_507),multiply(inverse(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))),multiply(X_162,inverse(X_507))))) ),[0],$fot(commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,inverse(X_507))))]]) ).
cnf(refute_0_5527,plain,
( commutator(multiply(X_162,inverse(commutator(X_506,X_507))),multiply(commutator(X_506,X_507),inverse(X_507))) != multiply(commutator(X_506,X_507),multiply(inverse(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))),multiply(X_162,inverse(X_507))))
| commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,inverse(X_507))) = multiply(commutator(X_506,X_507),multiply(inverse(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))),multiply(X_162,inverse(X_507)))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_162,inverse(commutator(X_506,X_507))),multiply(commutator(X_506,X_507),inverse(X_507))),commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,inverse(X_507)))) )],[refute_0_5525,refute_0_5526]) ).
cnf(refute_0_5528,plain,
inverse(commutator(multiply(X_506,X_162),X_507)) = commutator(X_507,multiply(X_506,X_162)),
inference(subst,[],[refute_0_386:[bind(X,$fot(X_507)),bind(Y,$fot(multiply(X_506,X_162)))]]) ).
cnf(refute_0_5529,plain,
multiply(X_507,multiply(inverse(multiply(X_507,multiply(X_506,X_162))),multiply(X_506,X_162))) = commutator(multiply(X_506,X_162),X_507),
inference(subst,[],[refute_0_1907:[bind(X_15,$fot(X_507)),bind(X_16,$fot(multiply(X_506,X_162)))]]) ).
cnf(refute_0_5530,plain,
multiply(multiply(X_507,X_506),X_162) = multiply(X_507,multiply(X_506,X_162)),
inference(subst,[],[associativity:[bind(X,$fot(X_507)),bind(Y,$fot(X_506)),bind(Z,$fot(X_162))]]) ).
cnf(refute_0_5531,plain,
inverse(multiply(multiply(X_507,X_506),X_162)) = inverse(multiply(multiply(X_507,X_506),X_162)),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_507,X_506),X_162)))]]) ).
cnf(refute_0_5532,plain,
( multiply(multiply(X_507,X_506),X_162) != multiply(X_507,multiply(X_506,X_162))
| inverse(multiply(multiply(X_507,X_506),X_162)) != inverse(multiply(multiply(X_507,X_506),X_162))
| inverse(multiply(multiply(X_507,X_506),X_162)) = inverse(multiply(X_507,multiply(X_506,X_162))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_507,X_506),X_162)),inverse(multiply(multiply(X_507,X_506),X_162))) ),[1,0],$fot(multiply(X_507,multiply(X_506,X_162)))]]) ).
cnf(refute_0_5533,plain,
( multiply(multiply(X_507,X_506),X_162) != multiply(X_507,multiply(X_506,X_162))
| inverse(multiply(multiply(X_507,X_506),X_162)) = inverse(multiply(X_507,multiply(X_506,X_162))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_507,X_506),X_162)),inverse(multiply(multiply(X_507,X_506),X_162))) )],[refute_0_5531,refute_0_5532]) ).
cnf(refute_0_5534,plain,
inverse(multiply(multiply(X_507,X_506),X_162)) = inverse(multiply(X_507,multiply(X_506,X_162))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_507,X_506),X_162),multiply(X_507,multiply(X_506,X_162))) )],[refute_0_5530,refute_0_5533]) ).
cnf(refute_0_5535,plain,
multiply(inverse(multiply(multiply(X_507,X_506),X_162)),multiply(X_506,X_162)) = multiply(inverse(multiply(multiply(X_507,X_506),X_162)),multiply(X_506,X_162)),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(multiply(X_507,X_506),X_162)),multiply(X_506,X_162)))]]) ).
cnf(refute_0_5536,plain,
( multiply(inverse(multiply(multiply(X_507,X_506),X_162)),multiply(X_506,X_162)) != multiply(inverse(multiply(multiply(X_507,X_506),X_162)),multiply(X_506,X_162))
| inverse(multiply(multiply(X_507,X_506),X_162)) != inverse(multiply(X_507,multiply(X_506,X_162)))
| multiply(inverse(multiply(multiply(X_507,X_506),X_162)),multiply(X_506,X_162)) = multiply(inverse(multiply(X_507,multiply(X_506,X_162))),multiply(X_506,X_162)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(multiply(X_507,X_506),X_162)),multiply(X_506,X_162)),multiply(inverse(multiply(multiply(X_507,X_506),X_162)),multiply(X_506,X_162))) ),[1,0],$fot(inverse(multiply(X_507,multiply(X_506,X_162))))]]) ).
cnf(refute_0_5537,plain,
( inverse(multiply(multiply(X_507,X_506),X_162)) != inverse(multiply(X_507,multiply(X_506,X_162)))
| multiply(inverse(multiply(multiply(X_507,X_506),X_162)),multiply(X_506,X_162)) = multiply(inverse(multiply(X_507,multiply(X_506,X_162))),multiply(X_506,X_162)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_507,X_506),X_162)),multiply(X_506,X_162)),multiply(inverse(multiply(multiply(X_507,X_506),X_162)),multiply(X_506,X_162))) )],[refute_0_5535,refute_0_5536]) ).
cnf(refute_0_5538,plain,
multiply(inverse(multiply(multiply(X_507,X_506),X_162)),multiply(X_506,X_162)) = multiply(inverse(multiply(X_507,multiply(X_506,X_162))),multiply(X_506,X_162)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_507,X_506),X_162)),inverse(multiply(X_507,multiply(X_506,X_162)))) )],[refute_0_5534,refute_0_5537]) ).
cnf(refute_0_5539,plain,
multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))) = multiply(inverse(multiply(multiply(X_507,X_506),X_162)),multiply(X_506,X_162)),
inference(subst,[],[refute_0_242:[bind(Z,$fot(multiply(X_506,X_162))),bind(X_62,$fot(X_162)),bind(X_63,$fot(multiply(X_507,X_506)))]]) ).
cnf(refute_0_5540,plain,
( multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))) != multiply(inverse(multiply(multiply(X_507,X_506),X_162)),multiply(X_506,X_162))
| multiply(inverse(multiply(multiply(X_507,X_506),X_162)),multiply(X_506,X_162)) != multiply(inverse(multiply(X_507,multiply(X_506,X_162))),multiply(X_506,X_162))
| multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))) = multiply(inverse(multiply(X_507,multiply(X_506,X_162))),multiply(X_506,X_162)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))))),bind(Y0,$fot(multiply(inverse(multiply(multiply(X_507,X_506),X_162)),multiply(X_506,X_162)))),bind(Z0,$fot(multiply(inverse(multiply(X_507,multiply(X_506,X_162))),multiply(X_506,X_162))))]]) ).
cnf(refute_0_5541,plain,
( multiply(inverse(multiply(multiply(X_507,X_506),X_162)),multiply(X_506,X_162)) != multiply(inverse(multiply(X_507,multiply(X_506,X_162))),multiply(X_506,X_162))
| multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))) = multiply(inverse(multiply(X_507,multiply(X_506,X_162))),multiply(X_506,X_162)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))),multiply(inverse(multiply(multiply(X_507,X_506),X_162)),multiply(X_506,X_162))) )],[refute_0_5539,refute_0_5540]) ).
cnf(refute_0_5542,plain,
multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))) = multiply(inverse(multiply(X_507,multiply(X_506,X_162))),multiply(X_506,X_162)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_507,X_506),X_162)),multiply(X_506,X_162)),multiply(inverse(multiply(X_507,multiply(X_506,X_162))),multiply(X_506,X_162))) )],[refute_0_5538,refute_0_5541]) ).
cnf(refute_0_5543,plain,
multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162)))) = multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162)))),
introduced(tautology,[refl,[$fot(multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162)))))]]) ).
cnf(refute_0_5544,plain,
( multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162)))) != multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))))
| multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))) != multiply(inverse(multiply(X_507,multiply(X_506,X_162))),multiply(X_506,X_162))
| multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162)))) = multiply(X_507,multiply(inverse(multiply(X_507,multiply(X_506,X_162))),multiply(X_506,X_162))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162)))),multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))))) ),[1,1],$fot(multiply(inverse(multiply(X_507,multiply(X_506,X_162))),multiply(X_506,X_162)))]]) ).
cnf(refute_0_5545,plain,
( multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))) != multiply(inverse(multiply(X_507,multiply(X_506,X_162))),multiply(X_506,X_162))
| multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162)))) = multiply(X_507,multiply(inverse(multiply(X_507,multiply(X_506,X_162))),multiply(X_506,X_162))) ),
inference(resolve,[$cnf( $equal(multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162)))),multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))))) )],[refute_0_5543,refute_0_5544]) ).
cnf(refute_0_5546,plain,
multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162)))) = multiply(X_507,multiply(inverse(multiply(X_507,multiply(X_506,X_162))),multiply(X_506,X_162))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))),multiply(inverse(multiply(X_507,multiply(X_506,X_162))),multiply(X_506,X_162))) )],[refute_0_5542,refute_0_5545]) ).
cnf(refute_0_5547,plain,
( multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162)))) != multiply(X_507,multiply(inverse(multiply(X_507,multiply(X_506,X_162))),multiply(X_506,X_162)))
| multiply(X_507,multiply(inverse(multiply(X_507,multiply(X_506,X_162))),multiply(X_506,X_162))) != commutator(multiply(X_506,X_162),X_507)
| multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162)))) = commutator(multiply(X_506,X_162),X_507) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162)))))),bind(Y0,$fot(multiply(X_507,multiply(inverse(multiply(X_507,multiply(X_506,X_162))),multiply(X_506,X_162))))),bind(Z0,$fot(commutator(multiply(X_506,X_162),X_507)))]]) ).
cnf(refute_0_5548,plain,
( multiply(X_507,multiply(inverse(multiply(X_507,multiply(X_506,X_162))),multiply(X_506,X_162))) != commutator(multiply(X_506,X_162),X_507)
| multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162)))) = commutator(multiply(X_506,X_162),X_507) ),
inference(resolve,[$cnf( $equal(multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162)))),multiply(X_507,multiply(inverse(multiply(X_507,multiply(X_506,X_162))),multiply(X_506,X_162)))) )],[refute_0_5546,refute_0_5547]) ).
cnf(refute_0_5549,plain,
multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162)))) = commutator(multiply(X_506,X_162),X_507),
inference(resolve,[$cnf( $equal(multiply(X_507,multiply(inverse(multiply(X_507,multiply(X_506,X_162))),multiply(X_506,X_162))),commutator(multiply(X_506,X_162),X_507)) )],[refute_0_5529,refute_0_5548]) ).
cnf(refute_0_5550,plain,
inverse(multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))))) = inverse(multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))))))]]) ).
cnf(refute_0_5551,plain,
( multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162)))) != commutator(multiply(X_506,X_162),X_507)
| inverse(multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))))) != inverse(multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162)))))
| inverse(multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))))) = inverse(commutator(multiply(X_506,X_162),X_507)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))))),inverse(multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162)))))) ),[1,0],$fot(commutator(multiply(X_506,X_162),X_507))]]) ).
cnf(refute_0_5552,plain,
( multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162)))) != commutator(multiply(X_506,X_162),X_507)
| inverse(multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))))) = inverse(commutator(multiply(X_506,X_162),X_507)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))))),inverse(multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162)))))) )],[refute_0_5550,refute_0_5551]) ).
cnf(refute_0_5553,plain,
inverse(multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))))) = inverse(commutator(multiply(X_506,X_162),X_507)),
inference(resolve,[$cnf( $equal(multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162)))),commutator(multiply(X_506,X_162),X_507)) )],[refute_0_5549,refute_0_5552]) ).
cnf(refute_0_5554,plain,
( inverse(multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))))) != inverse(commutator(multiply(X_506,X_162),X_507))
| inverse(commutator(multiply(X_506,X_162),X_507)) != commutator(X_507,multiply(X_506,X_162))
| inverse(multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))))) = commutator(X_507,multiply(X_506,X_162)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))))))),bind(Y0,$fot(inverse(commutator(multiply(X_506,X_162),X_507)))),bind(Z0,$fot(commutator(X_507,multiply(X_506,X_162))))]]) ).
cnf(refute_0_5555,plain,
( inverse(commutator(multiply(X_506,X_162),X_507)) != commutator(X_507,multiply(X_506,X_162))
| inverse(multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))))) = commutator(X_507,multiply(X_506,X_162)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))))),inverse(commutator(multiply(X_506,X_162),X_507))) )],[refute_0_5553,refute_0_5554]) ).
cnf(refute_0_5556,plain,
inverse(multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))))) = commutator(X_507,multiply(X_506,X_162)),
inference(resolve,[$cnf( $equal(inverse(commutator(multiply(X_506,X_162),X_507)),commutator(X_507,multiply(X_506,X_162))) )],[refute_0_5528,refute_0_5555]) ).
cnf(refute_0_5557,plain,
multiply(inverse(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))),multiply(X_162,inverse(X_507))) = inverse(multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))))),
inference(subst,[],[refute_0_1684:[bind(X_58,$fot(X_507)),bind(X_73,$fot(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162)))),bind(X_74,$fot(X_162))]]) ).
cnf(refute_0_5558,plain,
( multiply(inverse(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))),multiply(X_162,inverse(X_507))) != inverse(multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162)))))
| inverse(multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))))) != commutator(X_507,multiply(X_506,X_162))
| multiply(inverse(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))),multiply(X_162,inverse(X_507))) = commutator(X_507,multiply(X_506,X_162)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))),multiply(X_162,inverse(X_507))))),bind(Y0,$fot(inverse(multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))))))),bind(Z0,$fot(commutator(X_507,multiply(X_506,X_162))))]]) ).
cnf(refute_0_5559,plain,
( inverse(multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))))) != commutator(X_507,multiply(X_506,X_162))
| multiply(inverse(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))),multiply(X_162,inverse(X_507))) = commutator(X_507,multiply(X_506,X_162)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))),multiply(X_162,inverse(X_507))),inverse(multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162)))))) )],[refute_0_5557,refute_0_5558]) ).
cnf(refute_0_5560,plain,
multiply(inverse(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))),multiply(X_162,inverse(X_507))) = commutator(X_507,multiply(X_506,X_162)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_507,multiply(inverse(X_162),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))))),commutator(X_507,multiply(X_506,X_162))) )],[refute_0_5556,refute_0_5559]) ).
cnf(refute_0_5561,plain,
multiply(commutator(X_506,X_507),multiply(inverse(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))),multiply(X_162,inverse(X_507)))) = multiply(commutator(X_506,X_507),multiply(inverse(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))),multiply(X_162,inverse(X_507)))),
introduced(tautology,[refl,[$fot(multiply(commutator(X_506,X_507),multiply(inverse(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))),multiply(X_162,inverse(X_507)))))]]) ).
cnf(refute_0_5562,plain,
( multiply(commutator(X_506,X_507),multiply(inverse(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))),multiply(X_162,inverse(X_507)))) != multiply(commutator(X_506,X_507),multiply(inverse(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))),multiply(X_162,inverse(X_507))))
| multiply(inverse(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))),multiply(X_162,inverse(X_507))) != commutator(X_507,multiply(X_506,X_162))
| multiply(commutator(X_506,X_507),multiply(inverse(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))),multiply(X_162,inverse(X_507)))) = multiply(commutator(X_506,X_507),commutator(X_507,multiply(X_506,X_162))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_506,X_507),multiply(inverse(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))),multiply(X_162,inverse(X_507)))),multiply(commutator(X_506,X_507),multiply(inverse(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))),multiply(X_162,inverse(X_507))))) ),[1,1],$fot(commutator(X_507,multiply(X_506,X_162)))]]) ).
cnf(refute_0_5563,plain,
( multiply(inverse(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))),multiply(X_162,inverse(X_507))) != commutator(X_507,multiply(X_506,X_162))
| multiply(commutator(X_506,X_507),multiply(inverse(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))),multiply(X_162,inverse(X_507)))) = multiply(commutator(X_506,X_507),commutator(X_507,multiply(X_506,X_162))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_506,X_507),multiply(inverse(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))),multiply(X_162,inverse(X_507)))),multiply(commutator(X_506,X_507),multiply(inverse(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))),multiply(X_162,inverse(X_507))))) )],[refute_0_5561,refute_0_5562]) ).
cnf(refute_0_5564,plain,
multiply(commutator(X_506,X_507),multiply(inverse(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))),multiply(X_162,inverse(X_507)))) = multiply(commutator(X_506,X_507),commutator(X_507,multiply(X_506,X_162))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))),multiply(X_162,inverse(X_507))),commutator(X_507,multiply(X_506,X_162))) )],[refute_0_5560,refute_0_5563]) ).
cnf(refute_0_5565,plain,
( multiply(commutator(X_506,X_507),multiply(inverse(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))),multiply(X_162,inverse(X_507)))) != multiply(commutator(X_506,X_507),commutator(X_507,multiply(X_506,X_162)))
| commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,inverse(X_507))) != multiply(commutator(X_506,X_507),multiply(inverse(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))),multiply(X_162,inverse(X_507))))
| commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,inverse(X_507))) = multiply(commutator(X_506,X_507),commutator(X_507,multiply(X_506,X_162))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,inverse(X_507))),multiply(commutator(X_506,X_507),multiply(inverse(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))),multiply(X_162,inverse(X_507))))) ),[1],$fot(multiply(commutator(X_506,X_507),commutator(X_507,multiply(X_506,X_162))))]]) ).
cnf(refute_0_5566,plain,
( commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,inverse(X_507))) != multiply(commutator(X_506,X_507),multiply(inverse(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))),multiply(X_162,inverse(X_507))))
| commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,inverse(X_507))) = multiply(commutator(X_506,X_507),commutator(X_507,multiply(X_506,X_162))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_506,X_507),multiply(inverse(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))),multiply(X_162,inverse(X_507)))),multiply(commutator(X_506,X_507),commutator(X_507,multiply(X_506,X_162)))) )],[refute_0_5564,refute_0_5565]) ).
cnf(refute_0_5567,plain,
( commutator(multiply(X_162,inverse(commutator(X_506,X_507))),multiply(commutator(X_506,X_507),inverse(X_507))) != multiply(commutator(X_506,X_507),multiply(inverse(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))),multiply(X_162,inverse(X_507))))
| commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,inverse(X_507))) = multiply(commutator(X_506,X_507),commutator(X_507,multiply(X_506,X_162))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,inverse(X_507))),multiply(commutator(X_506,X_507),multiply(inverse(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))),multiply(X_162,inverse(X_507))))) )],[refute_0_5527,refute_0_5566]) ).
cnf(refute_0_5568,plain,
commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,inverse(X_507))) = multiply(commutator(X_506,X_507),commutator(X_507,multiply(X_506,X_162))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_162,inverse(commutator(X_506,X_507))),multiply(commutator(X_506,X_507),inverse(X_507))),multiply(commutator(X_506,X_507),multiply(inverse(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,X_162))),multiply(X_162,inverse(X_507))))) )],[refute_0_5425,refute_0_5567]) ).
cnf(refute_0_5569,plain,
commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,inverse(X_507))) = commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,X_507)),
inference(subst,[],[refute_0_4690:[bind(X_161,$fot(X_507)),bind(X_436,$fot(X_506))]]) ).
cnf(refute_0_5570,plain,
( commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,inverse(X_507))) != multiply(commutator(X_506,X_507),commutator(X_507,multiply(X_506,X_162)))
| commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,inverse(X_507))) != commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,X_507))
| commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,X_507)) = multiply(commutator(X_506,X_507),commutator(X_507,multiply(X_506,X_162))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,inverse(X_507))),multiply(commutator(X_506,X_507),commutator(X_507,multiply(X_506,X_162)))) ),[0],$fot(commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,X_507)))]]) ).
cnf(refute_0_5571,plain,
( commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,inverse(X_507))) != multiply(commutator(X_506,X_507),commutator(X_507,multiply(X_506,X_162)))
| commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,X_507)) = multiply(commutator(X_506,X_507),commutator(X_507,multiply(X_506,X_162))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,inverse(X_507))),commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,X_507))) )],[refute_0_5569,refute_0_5570]) ).
cnf(refute_0_5572,plain,
commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,X_507)) = multiply(commutator(X_506,X_507),commutator(X_507,multiply(X_506,X_162))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,inverse(X_507))),multiply(commutator(X_506,X_507),commutator(X_507,multiply(X_506,X_162)))) )],[refute_0_5568,refute_0_5571]) ).
cnf(refute_0_5573,plain,
commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,X_507)) = commutator(multiply(X_507,commutator(X_507,X_506)),X_162),
inference(subst,[],[refute_0_4698:[bind(X_182,$fot(X_506)),bind(X_183,$fot(X_507)),bind(X_618,$fot(X_162))]]) ).
cnf(refute_0_5574,plain,
( commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,X_507)) != multiply(commutator(X_506,X_507),commutator(X_507,multiply(X_506,X_162)))
| commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,X_507)) != commutator(multiply(X_507,commutator(X_507,X_506)),X_162)
| commutator(multiply(X_507,commutator(X_507,X_506)),X_162) = multiply(commutator(X_506,X_507),commutator(X_507,multiply(X_506,X_162))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,X_507)),multiply(commutator(X_506,X_507),commutator(X_507,multiply(X_506,X_162)))) ),[0],$fot(commutator(multiply(X_507,commutator(X_507,X_506)),X_162))]]) ).
cnf(refute_0_5575,plain,
( commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,X_507)) != multiply(commutator(X_506,X_507),commutator(X_507,multiply(X_506,X_162)))
| commutator(multiply(X_507,commutator(X_507,X_506)),X_162) = multiply(commutator(X_506,X_507),commutator(X_507,multiply(X_506,X_162))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,X_507)),commutator(multiply(X_507,commutator(X_507,X_506)),X_162)) )],[refute_0_5573,refute_0_5574]) ).
cnf(refute_0_5576,plain,
commutator(multiply(X_507,commutator(X_507,X_506)),X_162) = multiply(commutator(X_506,X_507),commutator(X_507,multiply(X_506,X_162))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_507,commutator(X_507,X_506)),multiply(X_162,X_507)),multiply(commutator(X_506,X_507),commutator(X_507,multiply(X_506,X_162)))) )],[refute_0_5572,refute_0_5575]) ).
cnf(refute_0_5577,plain,
( commutator(multiply(X_507,commutator(X_507,X_506)),X_162) != multiply(commutator(X_506,X_507),commutator(X_507,multiply(X_506,X_162)))
| multiply(commutator(X_506,X_507),commutator(X_507,multiply(X_506,X_162))) = commutator(multiply(X_507,commutator(X_507,X_506)),X_162) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(multiply(X_507,commutator(X_507,X_506)),X_162))),bind(Y0,$fot(multiply(commutator(X_506,X_507),commutator(X_507,multiply(X_506,X_162)))))]]) ).
cnf(refute_0_5578,plain,
multiply(commutator(X_506,X_507),commutator(X_507,multiply(X_506,X_162))) = commutator(multiply(X_507,commutator(X_507,X_506)),X_162),
inference(resolve,[$cnf( $equal(commutator(multiply(X_507,commutator(X_507,X_506)),X_162),multiply(commutator(X_506,X_507),commutator(X_507,multiply(X_506,X_162)))) )],[refute_0_5576,refute_0_5577]) ).
cnf(refute_0_5579,plain,
multiply(commutator(X_338,Y),commutator(Y,multiply(X_338,X_340))) = commutator(multiply(Y,commutator(Y,X_338)),X_340),
inference(subst,[],[refute_0_5578:[bind(X_162,$fot(X_340)),bind(X_506,$fot(X_338)),bind(X_507,$fot(Y))]]) ).
cnf(refute_0_5580,plain,
commutator(multiply(inverse(multiply(X_128,X_161)),X_161),X_160) = multiply(inverse(multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))),multiply(inverse(multiply(X_128,X_161)),multiply(X_161,X_160))),
inference(subst,[],[refute_0_713:[bind(Y,$fot(X_160)),bind(X_10,$fot(X_161)),bind(X_9,$fot(inverse(multiply(X_128,X_161))))]]) ).
cnf(refute_0_5581,plain,
inverse(multiply(X_128,commutator(X_128,X_161))) = multiply(inverse(multiply(X_128,X_161)),X_161),
inference(subst,[],[refute_0_814:[bind(X_127,$fot(X_161))]]) ).
cnf(refute_0_5582,plain,
( inverse(multiply(X_128,commutator(X_128,X_161))) != multiply(inverse(multiply(X_128,X_161)),X_161)
| multiply(inverse(multiply(X_128,X_161)),X_161) = inverse(multiply(X_128,commutator(X_128,X_161))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(inverse(multiply(X_128,commutator(X_128,X_161))))),bind(Y0,$fot(multiply(inverse(multiply(X_128,X_161)),X_161)))]]) ).
cnf(refute_0_5583,plain,
multiply(inverse(multiply(X_128,X_161)),X_161) = inverse(multiply(X_128,commutator(X_128,X_161))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_128,commutator(X_128,X_161))),multiply(inverse(multiply(X_128,X_161)),X_161)) )],[refute_0_5581,refute_0_5582]) ).
cnf(refute_0_5584,plain,
( multiply(inverse(multiply(X_128,X_161)),X_161) != inverse(multiply(X_128,commutator(X_128,X_161)))
| commutator(multiply(inverse(multiply(X_128,X_161)),X_161),X_160) != multiply(inverse(multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))),multiply(inverse(multiply(X_128,X_161)),multiply(X_161,X_160)))
| commutator(inverse(multiply(X_128,commutator(X_128,X_161))),X_160) = multiply(inverse(multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))),multiply(inverse(multiply(X_128,X_161)),multiply(X_161,X_160))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(multiply(X_128,X_161)),X_161),X_160),multiply(inverse(multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))),multiply(inverse(multiply(X_128,X_161)),multiply(X_161,X_160)))) ),[0,0],$fot(inverse(multiply(X_128,commutator(X_128,X_161))))]]) ).
cnf(refute_0_5585,plain,
( commutator(multiply(inverse(multiply(X_128,X_161)),X_161),X_160) != multiply(inverse(multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))),multiply(inverse(multiply(X_128,X_161)),multiply(X_161,X_160)))
| commutator(inverse(multiply(X_128,commutator(X_128,X_161))),X_160) = multiply(inverse(multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))),multiply(inverse(multiply(X_128,X_161)),multiply(X_161,X_160))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_128,X_161)),X_161),inverse(multiply(X_128,commutator(X_128,X_161)))) )],[refute_0_5583,refute_0_5584]) ).
cnf(refute_0_5586,plain,
commutator(inverse(multiply(X_128,commutator(X_128,X_161))),X_160) = multiply(inverse(multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))),multiply(inverse(multiply(X_128,X_161)),multiply(X_161,X_160))),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(multiply(X_128,X_161)),X_161),X_160),multiply(inverse(multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))),multiply(inverse(multiply(X_128,X_161)),multiply(X_161,X_160)))) )],[refute_0_5580,refute_0_5585]) ).
cnf(refute_0_5587,plain,
commutator(inverse(multiply(X_128,commutator(X_128,X_161))),X_160) = commutator(X_160,multiply(X_128,commutator(X_128,X_161))),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(multiply(X_128,commutator(X_128,X_161)))),bind(X_110,$fot(X_160))]]) ).
cnf(refute_0_5588,plain,
( commutator(inverse(multiply(X_128,commutator(X_128,X_161))),X_160) != multiply(inverse(multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))),multiply(inverse(multiply(X_128,X_161)),multiply(X_161,X_160)))
| commutator(inverse(multiply(X_128,commutator(X_128,X_161))),X_160) != commutator(X_160,multiply(X_128,commutator(X_128,X_161)))
| commutator(X_160,multiply(X_128,commutator(X_128,X_161))) = multiply(inverse(multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))),multiply(inverse(multiply(X_128,X_161)),multiply(X_161,X_160))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(multiply(X_128,commutator(X_128,X_161))),X_160),multiply(inverse(multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))),multiply(inverse(multiply(X_128,X_161)),multiply(X_161,X_160)))) ),[0],$fot(commutator(X_160,multiply(X_128,commutator(X_128,X_161))))]]) ).
cnf(refute_0_5589,plain,
( commutator(inverse(multiply(X_128,commutator(X_128,X_161))),X_160) != multiply(inverse(multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))),multiply(inverse(multiply(X_128,X_161)),multiply(X_161,X_160)))
| commutator(X_160,multiply(X_128,commutator(X_128,X_161))) = multiply(inverse(multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))),multiply(inverse(multiply(X_128,X_161)),multiply(X_161,X_160))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_128,commutator(X_128,X_161))),X_160),commutator(X_160,multiply(X_128,commutator(X_128,X_161)))) )],[refute_0_5587,refute_0_5588]) ).
cnf(refute_0_5590,plain,
multiply(multiply(X_128,X_161),multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))) = multiply(X_128,multiply(X_161,multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161)))),
inference(subst,[],[associativity:[bind(X,$fot(X_128)),bind(Y,$fot(X_161)),bind(Z,$fot(multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))))]]) ).
cnf(refute_0_5591,plain,
inverse(multiply(multiply(X_128,X_161),multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161)))) = inverse(multiply(multiply(X_128,X_161),multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161)))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_128,X_161),multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161)))))]]) ).
cnf(refute_0_5592,plain,
( multiply(multiply(X_128,X_161),multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))) != multiply(X_128,multiply(X_161,multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))))
| inverse(multiply(multiply(X_128,X_161),multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161)))) != inverse(multiply(multiply(X_128,X_161),multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))))
| inverse(multiply(multiply(X_128,X_161),multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161)))) = inverse(multiply(X_128,multiply(X_161,multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_128,X_161),multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161)))),inverse(multiply(multiply(X_128,X_161),multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))))) ),[1,0],$fot(multiply(X_128,multiply(X_161,multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161)))))]]) ).
cnf(refute_0_5593,plain,
( multiply(multiply(X_128,X_161),multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))) != multiply(X_128,multiply(X_161,multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))))
| inverse(multiply(multiply(X_128,X_161),multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161)))) = inverse(multiply(X_128,multiply(X_161,multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_128,X_161),multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161)))),inverse(multiply(multiply(X_128,X_161),multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))))) )],[refute_0_5591,refute_0_5592]) ).
cnf(refute_0_5594,plain,
inverse(multiply(multiply(X_128,X_161),multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161)))) = inverse(multiply(X_128,multiply(X_161,multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_128,X_161),multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))),multiply(X_128,multiply(X_161,multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))))) )],[refute_0_5590,refute_0_5593]) ).
cnf(refute_0_5595,plain,
multiply(inverse(multiply(multiply(X_128,X_161),multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161)))),multiply(X_161,X_160)) = multiply(inverse(multiply(multiply(X_128,X_161),multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161)))),multiply(X_161,X_160)),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(multiply(X_128,X_161),multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161)))),multiply(X_161,X_160)))]]) ).
cnf(refute_0_5596,plain,
( multiply(inverse(multiply(multiply(X_128,X_161),multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161)))),multiply(X_161,X_160)) != multiply(inverse(multiply(multiply(X_128,X_161),multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161)))),multiply(X_161,X_160))
| inverse(multiply(multiply(X_128,X_161),multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161)))) != inverse(multiply(X_128,multiply(X_161,multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161)))))
| multiply(inverse(multiply(multiply(X_128,X_161),multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161)))),multiply(X_161,X_160)) = multiply(inverse(multiply(X_128,multiply(X_161,multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))))),multiply(X_161,X_160)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(multiply(X_128,X_161),multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161)))),multiply(X_161,X_160)),multiply(inverse(multiply(multiply(X_128,X_161),multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161)))),multiply(X_161,X_160))) ),[1,0],$fot(inverse(multiply(X_128,multiply(X_161,multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))))))]]) ).
cnf(refute_0_5597,plain,
( inverse(multiply(multiply(X_128,X_161),multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161)))) != inverse(multiply(X_128,multiply(X_161,multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161)))))
| multiply(inverse(multiply(multiply(X_128,X_161),multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161)))),multiply(X_161,X_160)) = multiply(inverse(multiply(X_128,multiply(X_161,multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))))),multiply(X_161,X_160)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_128,X_161),multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161)))),multiply(X_161,X_160)),multiply(inverse(multiply(multiply(X_128,X_161),multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161)))),multiply(X_161,X_160))) )],[refute_0_5595,refute_0_5596]) ).
cnf(refute_0_5598,plain,
multiply(inverse(multiply(multiply(X_128,X_161),multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161)))),multiply(X_161,X_160)) = multiply(inverse(multiply(X_128,multiply(X_161,multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))))),multiply(X_161,X_160)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_128,X_161),multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161)))),inverse(multiply(X_128,multiply(X_161,multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161)))))) )],[refute_0_5594,refute_0_5597]) ).
cnf(refute_0_5599,plain,
multiply(inverse(multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))),multiply(inverse(multiply(X_128,X_161)),multiply(X_161,X_160))) = multiply(inverse(multiply(multiply(X_128,X_161),multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161)))),multiply(X_161,X_160)),
inference(subst,[],[refute_0_242:[bind(Z,$fot(multiply(X_161,X_160))),bind(X_62,$fot(multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161)))),bind(X_63,$fot(multiply(X_128,X_161)))]]) ).
cnf(refute_0_5600,plain,
( multiply(inverse(multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))),multiply(inverse(multiply(X_128,X_161)),multiply(X_161,X_160))) != multiply(inverse(multiply(multiply(X_128,X_161),multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161)))),multiply(X_161,X_160))
| multiply(inverse(multiply(multiply(X_128,X_161),multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161)))),multiply(X_161,X_160)) != multiply(inverse(multiply(X_128,multiply(X_161,multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))))),multiply(X_161,X_160))
| multiply(inverse(multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))),multiply(inverse(multiply(X_128,X_161)),multiply(X_161,X_160))) = multiply(inverse(multiply(X_128,multiply(X_161,multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))))),multiply(X_161,X_160)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))),multiply(inverse(multiply(X_128,X_161)),multiply(X_161,X_160))))),bind(Y0,$fot(multiply(inverse(multiply(multiply(X_128,X_161),multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161)))),multiply(X_161,X_160)))),bind(Z0,$fot(multiply(inverse(multiply(X_128,multiply(X_161,multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))))),multiply(X_161,X_160))))]]) ).
cnf(refute_0_5601,plain,
( multiply(inverse(multiply(multiply(X_128,X_161),multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161)))),multiply(X_161,X_160)) != multiply(inverse(multiply(X_128,multiply(X_161,multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))))),multiply(X_161,X_160))
| multiply(inverse(multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))),multiply(inverse(multiply(X_128,X_161)),multiply(X_161,X_160))) = multiply(inverse(multiply(X_128,multiply(X_161,multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))))),multiply(X_161,X_160)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))),multiply(inverse(multiply(X_128,X_161)),multiply(X_161,X_160))),multiply(inverse(multiply(multiply(X_128,X_161),multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161)))),multiply(X_161,X_160))) )],[refute_0_5599,refute_0_5600]) ).
cnf(refute_0_5602,plain,
multiply(inverse(multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))),multiply(inverse(multiply(X_128,X_161)),multiply(X_161,X_160))) = multiply(inverse(multiply(X_128,multiply(X_161,multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))))),multiply(X_161,X_160)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_128,X_161),multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161)))),multiply(X_161,X_160)),multiply(inverse(multiply(X_128,multiply(X_161,multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))))),multiply(X_161,X_160))) )],[refute_0_5598,refute_0_5601]) ).
cnf(refute_0_5603,plain,
( multiply(inverse(multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))),multiply(inverse(multiply(X_128,X_161)),multiply(X_161,X_160))) != multiply(inverse(multiply(X_128,multiply(X_161,multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))))),multiply(X_161,X_160))
| commutator(X_160,multiply(X_128,commutator(X_128,X_161))) != multiply(inverse(multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))),multiply(inverse(multiply(X_128,X_161)),multiply(X_161,X_160)))
| commutator(X_160,multiply(X_128,commutator(X_128,X_161))) = multiply(inverse(multiply(X_128,multiply(X_161,multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))))),multiply(X_161,X_160)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_160,multiply(X_128,commutator(X_128,X_161))),multiply(inverse(multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))),multiply(inverse(multiply(X_128,X_161)),multiply(X_161,X_160)))) ),[1],$fot(multiply(inverse(multiply(X_128,multiply(X_161,multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))))),multiply(X_161,X_160)))]]) ).
cnf(refute_0_5604,plain,
( commutator(X_160,multiply(X_128,commutator(X_128,X_161))) != multiply(inverse(multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))),multiply(inverse(multiply(X_128,X_161)),multiply(X_161,X_160)))
| commutator(X_160,multiply(X_128,commutator(X_128,X_161))) = multiply(inverse(multiply(X_128,multiply(X_161,multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))))),multiply(X_161,X_160)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))),multiply(inverse(multiply(X_128,X_161)),multiply(X_161,X_160))),multiply(inverse(multiply(X_128,multiply(X_161,multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))))),multiply(X_161,X_160))) )],[refute_0_5602,refute_0_5603]) ).
cnf(refute_0_5605,plain,
( commutator(inverse(multiply(X_128,commutator(X_128,X_161))),X_160) != multiply(inverse(multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))),multiply(inverse(multiply(X_128,X_161)),multiply(X_161,X_160)))
| commutator(X_160,multiply(X_128,commutator(X_128,X_161))) = multiply(inverse(multiply(X_128,multiply(X_161,multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))))),multiply(X_161,X_160)) ),
inference(resolve,[$cnf( $equal(commutator(X_160,multiply(X_128,commutator(X_128,X_161))),multiply(inverse(multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))),multiply(inverse(multiply(X_128,X_161)),multiply(X_161,X_160)))) )],[refute_0_5589,refute_0_5604]) ).
cnf(refute_0_5606,plain,
commutator(X_160,multiply(X_128,commutator(X_128,X_161))) = multiply(inverse(multiply(X_128,multiply(X_161,multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))))),multiply(X_161,X_160)),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_128,commutator(X_128,X_161))),X_160),multiply(inverse(multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))),multiply(inverse(multiply(X_128,X_161)),multiply(X_161,X_160)))) )],[refute_0_5586,refute_0_5605]) ).
cnf(refute_0_5607,plain,
commutator(X_682,multiply(multiply(X_683,X_86),commutator(multiply(X_683,X_86),X_683))) = multiply(inverse(multiply(multiply(X_683,X_86),multiply(X_683,multiply(X_682,multiply(inverse(multiply(multiply(X_683,X_86),X_683)),X_683))))),multiply(X_683,X_682)),
inference(subst,[],[refute_0_5606:[bind(X_128,$fot(multiply(X_683,X_86))),bind(X_160,$fot(X_682)),bind(X_161,$fot(X_683))]]) ).
cnf(refute_0_5608,plain,
commutator(multiply(X_683,X_86),X_683) = commutator(X_86,X_683),
inference(subst,[],[refute_0_951:[bind(Y,$fot(X_683))]]) ).
cnf(refute_0_5609,plain,
( commutator(X_682,multiply(multiply(X_683,X_86),commutator(multiply(X_683,X_86),X_683))) != multiply(inverse(multiply(multiply(X_683,X_86),multiply(X_683,multiply(X_682,multiply(inverse(multiply(multiply(X_683,X_86),X_683)),X_683))))),multiply(X_683,X_682))
| commutator(multiply(X_683,X_86),X_683) != commutator(X_86,X_683)
| commutator(X_682,multiply(multiply(X_683,X_86),commutator(X_86,X_683))) = multiply(inverse(multiply(multiply(X_683,X_86),multiply(X_683,multiply(X_682,multiply(inverse(multiply(multiply(X_683,X_86),X_683)),X_683))))),multiply(X_683,X_682)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_682,multiply(multiply(X_683,X_86),commutator(multiply(X_683,X_86),X_683))),multiply(inverse(multiply(multiply(X_683,X_86),multiply(X_683,multiply(X_682,multiply(inverse(multiply(multiply(X_683,X_86),X_683)),X_683))))),multiply(X_683,X_682))) ),[0,1,1],$fot(commutator(X_86,X_683))]]) ).
cnf(refute_0_5610,plain,
( commutator(X_682,multiply(multiply(X_683,X_86),commutator(multiply(X_683,X_86),X_683))) != multiply(inverse(multiply(multiply(X_683,X_86),multiply(X_683,multiply(X_682,multiply(inverse(multiply(multiply(X_683,X_86),X_683)),X_683))))),multiply(X_683,X_682))
| commutator(X_682,multiply(multiply(X_683,X_86),commutator(X_86,X_683))) = multiply(inverse(multiply(multiply(X_683,X_86),multiply(X_683,multiply(X_682,multiply(inverse(multiply(multiply(X_683,X_86),X_683)),X_683))))),multiply(X_683,X_682)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_683,X_86),X_683),commutator(X_86,X_683)) )],[refute_0_5608,refute_0_5609]) ).
cnf(refute_0_5611,plain,
commutator(X_682,multiply(multiply(X_683,X_86),commutator(X_86,X_683))) = multiply(inverse(multiply(multiply(X_683,X_86),multiply(X_683,multiply(X_682,multiply(inverse(multiply(multiply(X_683,X_86),X_683)),X_683))))),multiply(X_683,X_682)),
inference(resolve,[$cnf( $equal(commutator(X_682,multiply(multiply(X_683,X_86),commutator(multiply(X_683,X_86),X_683))),multiply(inverse(multiply(multiply(X_683,X_86),multiply(X_683,multiply(X_682,multiply(inverse(multiply(multiply(X_683,X_86),X_683)),X_683))))),multiply(X_683,X_682))) )],[refute_0_5607,refute_0_5610]) ).
cnf(refute_0_5612,plain,
multiply(X_683,multiply(X_86,commutator(X_86,X_683))) = multiply(X_86,X_683),
inference(subst,[],[refute_0_2600:[bind(X,$fot(X_86)),bind(Y,$fot(X_683))]]) ).
cnf(refute_0_5613,plain,
multiply(multiply(X_683,X_86),commutator(X_86,X_683)) = multiply(X_683,multiply(X_86,commutator(X_86,X_683))),
inference(subst,[],[associativity:[bind(X,$fot(X_683)),bind(Y,$fot(X_86)),bind(Z,$fot(commutator(X_86,X_683)))]]) ).
cnf(refute_0_5614,plain,
( multiply(X_683,multiply(X_86,commutator(X_86,X_683))) != multiply(X_86,X_683)
| multiply(multiply(X_683,X_86),commutator(X_86,X_683)) != multiply(X_683,multiply(X_86,commutator(X_86,X_683)))
| multiply(multiply(X_683,X_86),commutator(X_86,X_683)) = multiply(X_86,X_683) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_683,X_86),commutator(X_86,X_683)))),bind(Y0,$fot(multiply(X_683,multiply(X_86,commutator(X_86,X_683))))),bind(Z0,$fot(multiply(X_86,X_683)))]]) ).
cnf(refute_0_5615,plain,
( multiply(X_683,multiply(X_86,commutator(X_86,X_683))) != multiply(X_86,X_683)
| multiply(multiply(X_683,X_86),commutator(X_86,X_683)) = multiply(X_86,X_683) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_683,X_86),commutator(X_86,X_683)),multiply(X_683,multiply(X_86,commutator(X_86,X_683)))) )],[refute_0_5613,refute_0_5614]) ).
cnf(refute_0_5616,plain,
multiply(multiply(X_683,X_86),commutator(X_86,X_683)) = multiply(X_86,X_683),
inference(resolve,[$cnf( $equal(multiply(X_683,multiply(X_86,commutator(X_86,X_683))),multiply(X_86,X_683)) )],[refute_0_5612,refute_0_5615]) ).
cnf(refute_0_5617,plain,
commutator(X_682,multiply(multiply(X_683,X_86),commutator(X_86,X_683))) = commutator(X_682,multiply(multiply(X_683,X_86),commutator(X_86,X_683))),
introduced(tautology,[refl,[$fot(commutator(X_682,multiply(multiply(X_683,X_86),commutator(X_86,X_683))))]]) ).
cnf(refute_0_5618,plain,
( multiply(multiply(X_683,X_86),commutator(X_86,X_683)) != multiply(X_86,X_683)
| commutator(X_682,multiply(multiply(X_683,X_86),commutator(X_86,X_683))) != commutator(X_682,multiply(multiply(X_683,X_86),commutator(X_86,X_683)))
| commutator(X_682,multiply(multiply(X_683,X_86),commutator(X_86,X_683))) = commutator(X_682,multiply(X_86,X_683)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_682,multiply(multiply(X_683,X_86),commutator(X_86,X_683))),commutator(X_682,multiply(multiply(X_683,X_86),commutator(X_86,X_683)))) ),[1,1],$fot(multiply(X_86,X_683))]]) ).
cnf(refute_0_5619,plain,
( multiply(multiply(X_683,X_86),commutator(X_86,X_683)) != multiply(X_86,X_683)
| commutator(X_682,multiply(multiply(X_683,X_86),commutator(X_86,X_683))) = commutator(X_682,multiply(X_86,X_683)) ),
inference(resolve,[$cnf( $equal(commutator(X_682,multiply(multiply(X_683,X_86),commutator(X_86,X_683))),commutator(X_682,multiply(multiply(X_683,X_86),commutator(X_86,X_683)))) )],[refute_0_5617,refute_0_5618]) ).
cnf(refute_0_5620,plain,
commutator(X_682,multiply(multiply(X_683,X_86),commutator(X_86,X_683))) = commutator(X_682,multiply(X_86,X_683)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_683,X_86),commutator(X_86,X_683)),multiply(X_86,X_683)) )],[refute_0_5616,refute_0_5619]) ).
cnf(refute_0_5621,plain,
( commutator(X_682,multiply(multiply(X_683,X_86),commutator(X_86,X_683))) != multiply(inverse(multiply(multiply(X_683,X_86),multiply(X_683,multiply(X_682,multiply(inverse(multiply(multiply(X_683,X_86),X_683)),X_683))))),multiply(X_683,X_682))
| commutator(X_682,multiply(multiply(X_683,X_86),commutator(X_86,X_683))) != commutator(X_682,multiply(X_86,X_683))
| commutator(X_682,multiply(X_86,X_683)) = multiply(inverse(multiply(multiply(X_683,X_86),multiply(X_683,multiply(X_682,multiply(inverse(multiply(multiply(X_683,X_86),X_683)),X_683))))),multiply(X_683,X_682)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_682,multiply(multiply(X_683,X_86),commutator(X_86,X_683))),multiply(inverse(multiply(multiply(X_683,X_86),multiply(X_683,multiply(X_682,multiply(inverse(multiply(multiply(X_683,X_86),X_683)),X_683))))),multiply(X_683,X_682))) ),[0],$fot(commutator(X_682,multiply(X_86,X_683)))]]) ).
cnf(refute_0_5622,plain,
( commutator(X_682,multiply(multiply(X_683,X_86),commutator(X_86,X_683))) != multiply(inverse(multiply(multiply(X_683,X_86),multiply(X_683,multiply(X_682,multiply(inverse(multiply(multiply(X_683,X_86),X_683)),X_683))))),multiply(X_683,X_682))
| commutator(X_682,multiply(X_86,X_683)) = multiply(inverse(multiply(multiply(X_683,X_86),multiply(X_683,multiply(X_682,multiply(inverse(multiply(multiply(X_683,X_86),X_683)),X_683))))),multiply(X_683,X_682)) ),
inference(resolve,[$cnf( $equal(commutator(X_682,multiply(multiply(X_683,X_86),commutator(X_86,X_683))),commutator(X_682,multiply(X_86,X_683))) )],[refute_0_5620,refute_0_5621]) ).
cnf(refute_0_5623,plain,
commutator(multiply(X_162,commutator(X_162,Y)),X_160) = multiply(inverse(multiply(X_160,multiply(X_162,commutator(X_162,Y)))),multiply(X_162,multiply(commutator(X_162,Y),X_160))),
inference(subst,[],[refute_0_713:[bind(Y,$fot(X_160)),bind(X_10,$fot(commutator(X_162,Y))),bind(X_9,$fot(X_162))]]) ).
cnf(refute_0_5624,plain,
multiply(inverse(Y),multiply(X_162,Y)) = multiply(X_162,commutator(X_162,Y)),
inference(subst,[],[refute_0_254:[bind(X_27,$fot(X_162))]]) ).
cnf(refute_0_5625,plain,
( multiply(inverse(Y),multiply(X_162,Y)) != multiply(X_162,commutator(X_162,Y))
| multiply(X_162,commutator(X_162,Y)) = multiply(inverse(Y),multiply(X_162,Y)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(inverse(Y),multiply(X_162,Y)))),bind(Y0,$fot(multiply(X_162,commutator(X_162,Y))))]]) ).
cnf(refute_0_5626,plain,
multiply(X_162,commutator(X_162,Y)) = multiply(inverse(Y),multiply(X_162,Y)),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),multiply(X_162,Y)),multiply(X_162,commutator(X_162,Y))) )],[refute_0_5624,refute_0_5625]) ).
cnf(refute_0_5627,plain,
( multiply(X_162,commutator(X_162,Y)) != multiply(inverse(Y),multiply(X_162,Y))
| commutator(multiply(X_162,commutator(X_162,Y)),X_160) != multiply(inverse(multiply(X_160,multiply(X_162,commutator(X_162,Y)))),multiply(X_162,multiply(commutator(X_162,Y),X_160)))
| commutator(multiply(inverse(Y),multiply(X_162,Y)),X_160) = multiply(inverse(multiply(X_160,multiply(X_162,commutator(X_162,Y)))),multiply(X_162,multiply(commutator(X_162,Y),X_160))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_162,commutator(X_162,Y)),X_160),multiply(inverse(multiply(X_160,multiply(X_162,commutator(X_162,Y)))),multiply(X_162,multiply(commutator(X_162,Y),X_160)))) ),[0,0],$fot(multiply(inverse(Y),multiply(X_162,Y)))]]) ).
cnf(refute_0_5628,plain,
( commutator(multiply(X_162,commutator(X_162,Y)),X_160) != multiply(inverse(multiply(X_160,multiply(X_162,commutator(X_162,Y)))),multiply(X_162,multiply(commutator(X_162,Y),X_160)))
| commutator(multiply(inverse(Y),multiply(X_162,Y)),X_160) = multiply(inverse(multiply(X_160,multiply(X_162,commutator(X_162,Y)))),multiply(X_162,multiply(commutator(X_162,Y),X_160))) ),
inference(resolve,[$cnf( $equal(multiply(X_162,commutator(X_162,Y)),multiply(inverse(Y),multiply(X_162,Y))) )],[refute_0_5626,refute_0_5627]) ).
cnf(refute_0_5629,plain,
commutator(multiply(inverse(Y),multiply(X_162,Y)),X_160) = multiply(inverse(multiply(X_160,multiply(X_162,commutator(X_162,Y)))),multiply(X_162,multiply(commutator(X_162,Y),X_160))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_162,commutator(X_162,Y)),X_160),multiply(inverse(multiply(X_160,multiply(X_162,commutator(X_162,Y)))),multiply(X_162,multiply(commutator(X_162,Y),X_160)))) )],[refute_0_5623,refute_0_5628]) ).
cnf(refute_0_5630,plain,
multiply(inverse(multiply(X_160,multiply(X_162,commutator(X_162,Y)))),multiply(X_162,multiply(commutator(X_162,Y),X_160))) = commutator(multiply(X_162,commutator(X_162,Y)),X_160),
inference(subst,[],[refute_0_1178:[bind(Y,$fot(X_160)),bind(X_10,$fot(commutator(X_162,Y))),bind(X_9,$fot(X_162))]]) ).
cnf(refute_0_5631,plain,
( multiply(inverse(multiply(X_160,multiply(X_162,commutator(X_162,Y)))),multiply(X_162,multiply(commutator(X_162,Y),X_160))) != commutator(multiply(X_162,commutator(X_162,Y)),X_160)
| commutator(multiply(inverse(Y),multiply(X_162,Y)),X_160) != multiply(inverse(multiply(X_160,multiply(X_162,commutator(X_162,Y)))),multiply(X_162,multiply(commutator(X_162,Y),X_160)))
| commutator(multiply(inverse(Y),multiply(X_162,Y)),X_160) = commutator(multiply(X_162,commutator(X_162,Y)),X_160) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(Y),multiply(X_162,Y)),X_160),multiply(inverse(multiply(X_160,multiply(X_162,commutator(X_162,Y)))),multiply(X_162,multiply(commutator(X_162,Y),X_160)))) ),[1],$fot(commutator(multiply(X_162,commutator(X_162,Y)),X_160))]]) ).
cnf(refute_0_5632,plain,
( commutator(multiply(inverse(Y),multiply(X_162,Y)),X_160) != multiply(inverse(multiply(X_160,multiply(X_162,commutator(X_162,Y)))),multiply(X_162,multiply(commutator(X_162,Y),X_160)))
| commutator(multiply(inverse(Y),multiply(X_162,Y)),X_160) = commutator(multiply(X_162,commutator(X_162,Y)),X_160) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_160,multiply(X_162,commutator(X_162,Y)))),multiply(X_162,multiply(commutator(X_162,Y),X_160))),commutator(multiply(X_162,commutator(X_162,Y)),X_160)) )],[refute_0_5630,refute_0_5631]) ).
cnf(refute_0_5633,plain,
commutator(multiply(inverse(Y),multiply(X_162,Y)),X_160) = commutator(multiply(X_162,commutator(X_162,Y)),X_160),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(Y),multiply(X_162,Y)),X_160),multiply(inverse(multiply(X_160,multiply(X_162,commutator(X_162,Y)))),multiply(X_162,multiply(commutator(X_162,Y),X_160)))) )],[refute_0_5629,refute_0_5632]) ).
cnf(refute_0_5634,plain,
commutator(multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160) = commutator(multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160),
inference(subst,[],[refute_0_5633:[bind(Y,$fot(multiply(X_665,commutator(X_665,X_664)))),bind(X_162,$fot(inverse(X_664)))]]) ).
cnf(refute_0_5635,plain,
multiply(commutator(X_255,inverse(multiply(X_128,X_257))),X_257) = multiply(inverse(multiply(inverse(multiply(X_128,X_257)),X_255)),multiply(X_255,multiply(inverse(multiply(X_128,X_257)),X_257))),
inference(subst,[],[refute_0_246:[bind(X,$fot(X_255)),bind(Y,$fot(inverse(multiply(X_128,X_257)))),bind(X_11,$fot(X_257))]]) ).
cnf(refute_0_5636,plain,
inverse(multiply(X_128,commutator(X_128,X_257))) = multiply(inverse(multiply(X_128,X_257)),X_257),
inference(subst,[],[refute_0_814:[bind(X_127,$fot(X_257))]]) ).
cnf(refute_0_5637,plain,
( inverse(multiply(X_128,commutator(X_128,X_257))) != multiply(inverse(multiply(X_128,X_257)),X_257)
| multiply(inverse(multiply(X_128,X_257)),X_257) = inverse(multiply(X_128,commutator(X_128,X_257))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(inverse(multiply(X_128,commutator(X_128,X_257))))),bind(Y0,$fot(multiply(inverse(multiply(X_128,X_257)),X_257)))]]) ).
cnf(refute_0_5638,plain,
multiply(inverse(multiply(X_128,X_257)),X_257) = inverse(multiply(X_128,commutator(X_128,X_257))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_128,commutator(X_128,X_257))),multiply(inverse(multiply(X_128,X_257)),X_257)) )],[refute_0_5636,refute_0_5637]) ).
cnf(refute_0_5639,plain,
( multiply(commutator(X_255,inverse(multiply(X_128,X_257))),X_257) != multiply(inverse(multiply(inverse(multiply(X_128,X_257)),X_255)),multiply(X_255,multiply(inverse(multiply(X_128,X_257)),X_257)))
| multiply(inverse(multiply(X_128,X_257)),X_257) != inverse(multiply(X_128,commutator(X_128,X_257)))
| multiply(commutator(X_255,inverse(multiply(X_128,X_257))),X_257) = multiply(inverse(multiply(inverse(multiply(X_128,X_257)),X_255)),multiply(X_255,inverse(multiply(X_128,commutator(X_128,X_257))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_255,inverse(multiply(X_128,X_257))),X_257),multiply(inverse(multiply(inverse(multiply(X_128,X_257)),X_255)),multiply(X_255,multiply(inverse(multiply(X_128,X_257)),X_257)))) ),[1,1,1],$fot(inverse(multiply(X_128,commutator(X_128,X_257))))]]) ).
cnf(refute_0_5640,plain,
( multiply(commutator(X_255,inverse(multiply(X_128,X_257))),X_257) != multiply(inverse(multiply(inverse(multiply(X_128,X_257)),X_255)),multiply(X_255,multiply(inverse(multiply(X_128,X_257)),X_257)))
| multiply(commutator(X_255,inverse(multiply(X_128,X_257))),X_257) = multiply(inverse(multiply(inverse(multiply(X_128,X_257)),X_255)),multiply(X_255,inverse(multiply(X_128,commutator(X_128,X_257))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_128,X_257)),X_257),inverse(multiply(X_128,commutator(X_128,X_257)))) )],[refute_0_5638,refute_0_5639]) ).
cnf(refute_0_5641,plain,
multiply(commutator(X_255,inverse(multiply(X_128,X_257))),X_257) = multiply(inverse(multiply(inverse(multiply(X_128,X_257)),X_255)),multiply(X_255,inverse(multiply(X_128,commutator(X_128,X_257))))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,inverse(multiply(X_128,X_257))),X_257),multiply(inverse(multiply(inverse(multiply(X_128,X_257)),X_255)),multiply(X_255,multiply(inverse(multiply(X_128,X_257)),X_257)))) )],[refute_0_5635,refute_0_5640]) ).
cnf(refute_0_5642,plain,
commutator(X_255,inverse(multiply(X_128,X_257))) = commutator(multiply(X_128,X_257),X_255),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(multiply(X_128,X_257))),bind(X_110,$fot(X_255))]]) ).
cnf(refute_0_5643,plain,
multiply(commutator(X_255,inverse(multiply(X_128,X_257))),X_257) = multiply(commutator(X_255,inverse(multiply(X_128,X_257))),X_257),
introduced(tautology,[refl,[$fot(multiply(commutator(X_255,inverse(multiply(X_128,X_257))),X_257))]]) ).
cnf(refute_0_5644,plain,
( multiply(commutator(X_255,inverse(multiply(X_128,X_257))),X_257) != multiply(commutator(X_255,inverse(multiply(X_128,X_257))),X_257)
| commutator(X_255,inverse(multiply(X_128,X_257))) != commutator(multiply(X_128,X_257),X_255)
| multiply(commutator(X_255,inverse(multiply(X_128,X_257))),X_257) = multiply(commutator(multiply(X_128,X_257),X_255),X_257) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_255,inverse(multiply(X_128,X_257))),X_257),multiply(commutator(X_255,inverse(multiply(X_128,X_257))),X_257)) ),[1,0],$fot(commutator(multiply(X_128,X_257),X_255))]]) ).
cnf(refute_0_5645,plain,
( commutator(X_255,inverse(multiply(X_128,X_257))) != commutator(multiply(X_128,X_257),X_255)
| multiply(commutator(X_255,inverse(multiply(X_128,X_257))),X_257) = multiply(commutator(multiply(X_128,X_257),X_255),X_257) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,inverse(multiply(X_128,X_257))),X_257),multiply(commutator(X_255,inverse(multiply(X_128,X_257))),X_257)) )],[refute_0_5643,refute_0_5644]) ).
cnf(refute_0_5646,plain,
multiply(commutator(X_255,inverse(multiply(X_128,X_257))),X_257) = multiply(commutator(multiply(X_128,X_257),X_255),X_257),
inference(resolve,[$cnf( $equal(commutator(X_255,inverse(multiply(X_128,X_257))),commutator(multiply(X_128,X_257),X_255)) )],[refute_0_5642,refute_0_5645]) ).
cnf(refute_0_5647,plain,
( multiply(commutator(X_255,inverse(multiply(X_128,X_257))),X_257) != multiply(commutator(multiply(X_128,X_257),X_255),X_257)
| multiply(commutator(X_255,inverse(multiply(X_128,X_257))),X_257) != multiply(inverse(multiply(inverse(multiply(X_128,X_257)),X_255)),multiply(X_255,inverse(multiply(X_128,commutator(X_128,X_257)))))
| multiply(commutator(multiply(X_128,X_257),X_255),X_257) = multiply(inverse(multiply(inverse(multiply(X_128,X_257)),X_255)),multiply(X_255,inverse(multiply(X_128,commutator(X_128,X_257))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_255,inverse(multiply(X_128,X_257))),X_257),multiply(inverse(multiply(inverse(multiply(X_128,X_257)),X_255)),multiply(X_255,inverse(multiply(X_128,commutator(X_128,X_257)))))) ),[0],$fot(multiply(commutator(multiply(X_128,X_257),X_255),X_257))]]) ).
cnf(refute_0_5648,plain,
( multiply(commutator(X_255,inverse(multiply(X_128,X_257))),X_257) != multiply(inverse(multiply(inverse(multiply(X_128,X_257)),X_255)),multiply(X_255,inverse(multiply(X_128,commutator(X_128,X_257)))))
| multiply(commutator(multiply(X_128,X_257),X_255),X_257) = multiply(inverse(multiply(inverse(multiply(X_128,X_257)),X_255)),multiply(X_255,inverse(multiply(X_128,commutator(X_128,X_257))))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,inverse(multiply(X_128,X_257))),X_257),multiply(commutator(multiply(X_128,X_257),X_255),X_257)) )],[refute_0_5646,refute_0_5647]) ).
cnf(refute_0_5649,plain,
multiply(multiply(X_128,X_257),X_255) = multiply(X_128,multiply(X_257,X_255)),
inference(subst,[],[associativity:[bind(X,$fot(X_128)),bind(Y,$fot(X_257)),bind(Z,$fot(X_255))]]) ).
cnf(refute_0_5650,plain,
inverse(multiply(multiply(X_128,X_257),X_255)) = inverse(multiply(multiply(X_128,X_257),X_255)),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_128,X_257),X_255)))]]) ).
cnf(refute_0_5651,plain,
( multiply(multiply(X_128,X_257),X_255) != multiply(X_128,multiply(X_257,X_255))
| inverse(multiply(multiply(X_128,X_257),X_255)) != inverse(multiply(multiply(X_128,X_257),X_255))
| inverse(multiply(multiply(X_128,X_257),X_255)) = inverse(multiply(X_128,multiply(X_257,X_255))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_128,X_257),X_255)),inverse(multiply(multiply(X_128,X_257),X_255))) ),[1,0],$fot(multiply(X_128,multiply(X_257,X_255)))]]) ).
cnf(refute_0_5652,plain,
( multiply(multiply(X_128,X_257),X_255) != multiply(X_128,multiply(X_257,X_255))
| inverse(multiply(multiply(X_128,X_257),X_255)) = inverse(multiply(X_128,multiply(X_257,X_255))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_128,X_257),X_255)),inverse(multiply(multiply(X_128,X_257),X_255))) )],[refute_0_5650,refute_0_5651]) ).
cnf(refute_0_5653,plain,
inverse(multiply(multiply(X_128,X_257),X_255)) = inverse(multiply(X_128,multiply(X_257,X_255))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_128,X_257),X_255),multiply(X_128,multiply(X_257,X_255))) )],[refute_0_5649,refute_0_5652]) ).
cnf(refute_0_5654,plain,
multiply(inverse(multiply(multiply(X_128,X_257),X_255)),X_255) = multiply(inverse(multiply(multiply(X_128,X_257),X_255)),X_255),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(multiply(X_128,X_257),X_255)),X_255))]]) ).
cnf(refute_0_5655,plain,
( multiply(inverse(multiply(multiply(X_128,X_257),X_255)),X_255) != multiply(inverse(multiply(multiply(X_128,X_257),X_255)),X_255)
| inverse(multiply(multiply(X_128,X_257),X_255)) != inverse(multiply(X_128,multiply(X_257,X_255)))
| multiply(inverse(multiply(multiply(X_128,X_257),X_255)),X_255) = multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(multiply(X_128,X_257),X_255)),X_255),multiply(inverse(multiply(multiply(X_128,X_257),X_255)),X_255)) ),[1,0],$fot(inverse(multiply(X_128,multiply(X_257,X_255))))]]) ).
cnf(refute_0_5656,plain,
( inverse(multiply(multiply(X_128,X_257),X_255)) != inverse(multiply(X_128,multiply(X_257,X_255)))
| multiply(inverse(multiply(multiply(X_128,X_257),X_255)),X_255) = multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_128,X_257),X_255)),X_255),multiply(inverse(multiply(multiply(X_128,X_257),X_255)),X_255)) )],[refute_0_5654,refute_0_5655]) ).
cnf(refute_0_5657,plain,
multiply(inverse(multiply(multiply(X_128,X_257),X_255)),X_255) = multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_128,X_257),X_255)),inverse(multiply(X_128,multiply(X_257,X_255)))) )],[refute_0_5653,refute_0_5656]) ).
cnf(refute_0_5658,plain,
multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255)) = multiply(inverse(multiply(multiply(X_128,X_257),X_255)),X_255),
inference(subst,[],[refute_0_242:[bind(Z,$fot(X_255)),bind(X_62,$fot(X_255)),bind(X_63,$fot(multiply(X_128,X_257)))]]) ).
cnf(refute_0_5659,plain,
( multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255)) != multiply(inverse(multiply(multiply(X_128,X_257),X_255)),X_255)
| multiply(inverse(multiply(multiply(X_128,X_257),X_255)),X_255) != multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255)
| multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255)) = multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255)))),bind(Y0,$fot(multiply(inverse(multiply(multiply(X_128,X_257),X_255)),X_255))),bind(Z0,$fot(multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255)))]]) ).
cnf(refute_0_5660,plain,
( multiply(inverse(multiply(multiply(X_128,X_257),X_255)),X_255) != multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255)
| multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255)) = multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255)),multiply(inverse(multiply(multiply(X_128,X_257),X_255)),X_255)) )],[refute_0_5658,refute_0_5659]) ).
cnf(refute_0_5661,plain,
multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255)) = multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_128,X_257),X_255)),X_255),multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255)) )],[refute_0_5657,refute_0_5660]) ).
cnf(refute_0_5662,plain,
multiply(commutator(X_128,X_257),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255))) = multiply(commutator(X_128,X_257),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255))),
introduced(tautology,[refl,[$fot(multiply(commutator(X_128,X_257),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255))))]]) ).
cnf(refute_0_5663,plain,
( multiply(commutator(X_128,X_257),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255))) != multiply(commutator(X_128,X_257),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255)))
| multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255)) != multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255)
| multiply(commutator(X_128,X_257),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255))) = multiply(commutator(X_128,X_257),multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_128,X_257),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255))),multiply(commutator(X_128,X_257),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255)))) ),[1,1],$fot(multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255))]]) ).
cnf(refute_0_5664,plain,
( multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255)) != multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255)
| multiply(commutator(X_128,X_257),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255))) = multiply(commutator(X_128,X_257),multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_128,X_257),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255))),multiply(commutator(X_128,X_257),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255)))) )],[refute_0_5662,refute_0_5663]) ).
cnf(refute_0_5665,plain,
multiply(commutator(X_128,X_257),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255))) = multiply(commutator(X_128,X_257),multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255)),multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255)) )],[refute_0_5661,refute_0_5664]) ).
cnf(refute_0_5666,plain,
multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255)))) = multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255)))),
introduced(tautology,[refl,[$fot(multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255)))))]]) ).
cnf(refute_0_5667,plain,
( multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255)))) != multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255))))
| multiply(commutator(X_128,X_257),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255))) != multiply(commutator(X_128,X_257),multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255))
| multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255)))) = multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255)))),multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255))))) ),[1,1],$fot(multiply(commutator(X_128,X_257),multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255)))]]) ).
cnf(refute_0_5668,plain,
( multiply(commutator(X_128,X_257),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255))) != multiply(commutator(X_128,X_257),multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255))
| multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255)))) = multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255))) ),
inference(resolve,[$cnf( $equal(multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255)))),multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255))))) )],[refute_0_5666,refute_0_5667]) ).
cnf(refute_0_5669,plain,
multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255)))) = multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_128,X_257),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255))),multiply(commutator(X_128,X_257),multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255))) )],[refute_0_5665,refute_0_5668]) ).
cnf(refute_0_5670,plain,
multiply(multiply(X_128,commutator(X_128,X_257)),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255))) = multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255)))),
inference(subst,[],[associativity:[bind(X,$fot(X_128)),bind(Y,$fot(commutator(X_128,X_257))),bind(Z,$fot(multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255))))]]) ).
cnf(refute_0_5671,plain,
( multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255)))) != multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255)))
| multiply(multiply(X_128,commutator(X_128,X_257)),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255))) != multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255))))
| multiply(multiply(X_128,commutator(X_128,X_257)),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255))) = multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_128,commutator(X_128,X_257)),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255))))),bind(Y0,$fot(multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255)))))),bind(Z0,$fot(multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255)))))]]) ).
cnf(refute_0_5672,plain,
( multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255)))) != multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255)))
| multiply(multiply(X_128,commutator(X_128,X_257)),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255))) = multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_128,commutator(X_128,X_257)),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255))),multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255))))) )],[refute_0_5670,refute_0_5671]) ).
cnf(refute_0_5673,plain,
multiply(multiply(X_128,commutator(X_128,X_257)),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255))) = multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255))),
inference(resolve,[$cnf( $equal(multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255)))),multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255)))) )],[refute_0_5669,refute_0_5672]) ).
cnf(refute_0_5674,plain,
inverse(multiply(multiply(X_128,commutator(X_128,X_257)),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255)))) = inverse(multiply(multiply(X_128,commutator(X_128,X_257)),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255)))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_128,commutator(X_128,X_257)),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255)))))]]) ).
cnf(refute_0_5675,plain,
( multiply(multiply(X_128,commutator(X_128,X_257)),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255))) != multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255)))
| inverse(multiply(multiply(X_128,commutator(X_128,X_257)),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255)))) != inverse(multiply(multiply(X_128,commutator(X_128,X_257)),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255))))
| inverse(multiply(multiply(X_128,commutator(X_128,X_257)),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255)))) = inverse(multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_128,commutator(X_128,X_257)),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255)))),inverse(multiply(multiply(X_128,commutator(X_128,X_257)),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255))))) ),[1,0],$fot(multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255))))]]) ).
cnf(refute_0_5676,plain,
( multiply(multiply(X_128,commutator(X_128,X_257)),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255))) != multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255)))
| inverse(multiply(multiply(X_128,commutator(X_128,X_257)),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255)))) = inverse(multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_128,commutator(X_128,X_257)),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255)))),inverse(multiply(multiply(X_128,commutator(X_128,X_257)),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255))))) )],[refute_0_5674,refute_0_5675]) ).
cnf(refute_0_5677,plain,
inverse(multiply(multiply(X_128,commutator(X_128,X_257)),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255)))) = inverse(multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_128,commutator(X_128,X_257)),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255))),multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255)))) )],[refute_0_5673,refute_0_5676]) ).
cnf(refute_0_5678,plain,
multiply(inverse(multiply(inverse(multiply(X_128,X_257)),X_255)),multiply(X_255,inverse(multiply(X_128,commutator(X_128,X_257))))) = inverse(multiply(multiply(X_128,commutator(X_128,X_257)),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255)))),
inference(subst,[],[refute_0_1684:[bind(X_58,$fot(multiply(X_128,commutator(X_128,X_257)))),bind(X_73,$fot(multiply(inverse(multiply(X_128,X_257)),X_255))),bind(X_74,$fot(X_255))]]) ).
cnf(refute_0_5679,plain,
( multiply(inverse(multiply(inverse(multiply(X_128,X_257)),X_255)),multiply(X_255,inverse(multiply(X_128,commutator(X_128,X_257))))) != inverse(multiply(multiply(X_128,commutator(X_128,X_257)),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255))))
| inverse(multiply(multiply(X_128,commutator(X_128,X_257)),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255)))) != inverse(multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255))))
| multiply(inverse(multiply(inverse(multiply(X_128,X_257)),X_255)),multiply(X_255,inverse(multiply(X_128,commutator(X_128,X_257))))) = inverse(multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(inverse(multiply(X_128,X_257)),X_255)),multiply(X_255,inverse(multiply(X_128,commutator(X_128,X_257))))))),bind(Y0,$fot(inverse(multiply(multiply(X_128,commutator(X_128,X_257)),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255)))))),bind(Z0,$fot(inverse(multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255))))))]]) ).
cnf(refute_0_5680,plain,
( inverse(multiply(multiply(X_128,commutator(X_128,X_257)),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255)))) != inverse(multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255))))
| multiply(inverse(multiply(inverse(multiply(X_128,X_257)),X_255)),multiply(X_255,inverse(multiply(X_128,commutator(X_128,X_257))))) = inverse(multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(multiply(X_128,X_257)),X_255)),multiply(X_255,inverse(multiply(X_128,commutator(X_128,X_257))))),inverse(multiply(multiply(X_128,commutator(X_128,X_257)),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255))))) )],[refute_0_5678,refute_0_5679]) ).
cnf(refute_0_5681,plain,
multiply(inverse(multiply(inverse(multiply(X_128,X_257)),X_255)),multiply(X_255,inverse(multiply(X_128,commutator(X_128,X_257))))) = inverse(multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255)))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_128,commutator(X_128,X_257)),multiply(inverse(X_255),multiply(inverse(multiply(X_128,X_257)),X_255)))),inverse(multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255))))) )],[refute_0_5677,refute_0_5680]) ).
cnf(refute_0_5682,plain,
( multiply(commutator(multiply(X_128,X_257),X_255),X_257) != multiply(inverse(multiply(inverse(multiply(X_128,X_257)),X_255)),multiply(X_255,inverse(multiply(X_128,commutator(X_128,X_257)))))
| multiply(inverse(multiply(inverse(multiply(X_128,X_257)),X_255)),multiply(X_255,inverse(multiply(X_128,commutator(X_128,X_257))))) != inverse(multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255))))
| multiply(commutator(multiply(X_128,X_257),X_255),X_257) = inverse(multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(commutator(multiply(X_128,X_257),X_255),X_257),inverse(multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255))))) ),[0],$fot(multiply(inverse(multiply(inverse(multiply(X_128,X_257)),X_255)),multiply(X_255,inverse(multiply(X_128,commutator(X_128,X_257))))))]]) ).
cnf(refute_0_5683,plain,
( multiply(commutator(multiply(X_128,X_257),X_255),X_257) != multiply(inverse(multiply(inverse(multiply(X_128,X_257)),X_255)),multiply(X_255,inverse(multiply(X_128,commutator(X_128,X_257)))))
| multiply(commutator(multiply(X_128,X_257),X_255),X_257) = inverse(multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(multiply(X_128,X_257)),X_255)),multiply(X_255,inverse(multiply(X_128,commutator(X_128,X_257))))),inverse(multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255))))) )],[refute_0_5681,refute_0_5682]) ).
cnf(refute_0_5684,plain,
( multiply(commutator(X_255,inverse(multiply(X_128,X_257))),X_257) != multiply(inverse(multiply(inverse(multiply(X_128,X_257)),X_255)),multiply(X_255,inverse(multiply(X_128,commutator(X_128,X_257)))))
| multiply(commutator(multiply(X_128,X_257),X_255),X_257) = inverse(multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255)))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_128,X_257),X_255),X_257),multiply(inverse(multiply(inverse(multiply(X_128,X_257)),X_255)),multiply(X_255,inverse(multiply(X_128,commutator(X_128,X_257)))))) )],[refute_0_5648,refute_0_5683]) ).
cnf(refute_0_5685,plain,
multiply(commutator(multiply(X_128,X_257),X_255),X_257) = inverse(multiply(X_128,multiply(commutator(X_128,X_257),multiply(inverse(multiply(X_128,multiply(X_257,X_255))),X_255)))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,inverse(multiply(X_128,X_257))),X_257),multiply(inverse(multiply(inverse(multiply(X_128,X_257)),X_255)),multiply(X_255,inverse(multiply(X_128,commutator(X_128,X_257)))))) )],[refute_0_5641,refute_0_5684]) ).
cnf(refute_0_5686,plain,
multiply(commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) = inverse(multiply(multiply(X_454,inverse(X_455)),multiply(commutator(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))),
inference(subst,[],[refute_0_5685:[bind(X_128,$fot(multiply(X_454,inverse(X_455)))),bind(X_255,$fot(X_662)),bind(X_257,$fot(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))))]]) ).
cnf(refute_0_5687,plain,
identity = commutator(multiply(X_171,X_102),multiply(inverse(multiply(multiply(X_171,X_102),X_102)),X_102)),
inference(subst,[],[refute_0_474:[bind(X_10,$fot(multiply(X_171,X_102)))]]) ).
cnf(refute_0_5688,plain,
commutator(multiply(X_171,X_102),multiply(inverse(multiply(multiply(X_171,X_102),X_102)),X_102)) = commutator(multiply(X_171,X_102),multiply(inverse(multiply(multiply(X_171,X_102),X_102)),inverse(X_171))),
inference(subst,[],[refute_0_1692:[bind(X_10,$fot(X_171)),bind(X_161,$fot(X_102)),bind(X_162,$fot(inverse(multiply(multiply(X_171,X_102),X_102))))]]) ).
cnf(refute_0_5689,plain,
( commutator(multiply(X_171,X_102),multiply(inverse(multiply(multiply(X_171,X_102),X_102)),X_102)) != commutator(multiply(X_171,X_102),multiply(inverse(multiply(multiply(X_171,X_102),X_102)),inverse(X_171)))
| identity != commutator(multiply(X_171,X_102),multiply(inverse(multiply(multiply(X_171,X_102),X_102)),X_102))
| identity = commutator(multiply(X_171,X_102),multiply(inverse(multiply(multiply(X_171,X_102),X_102)),inverse(X_171))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(multiply(X_171,X_102),multiply(inverse(multiply(multiply(X_171,X_102),X_102)),X_102))) ),[1],$fot(commutator(multiply(X_171,X_102),multiply(inverse(multiply(multiply(X_171,X_102),X_102)),inverse(X_171))))]]) ).
cnf(refute_0_5690,plain,
( identity != commutator(multiply(X_171,X_102),multiply(inverse(multiply(multiply(X_171,X_102),X_102)),X_102))
| identity = commutator(multiply(X_171,X_102),multiply(inverse(multiply(multiply(X_171,X_102),X_102)),inverse(X_171))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_171,X_102),multiply(inverse(multiply(multiply(X_171,X_102),X_102)),X_102)),commutator(multiply(X_171,X_102),multiply(inverse(multiply(multiply(X_171,X_102),X_102)),inverse(X_171)))) )],[refute_0_5688,refute_0_5689]) ).
cnf(refute_0_5691,plain,
identity = commutator(multiply(X_171,X_102),multiply(inverse(multiply(multiply(X_171,X_102),X_102)),inverse(X_171))),
inference(resolve,[$cnf( $equal(identity,commutator(multiply(X_171,X_102),multiply(inverse(multiply(multiply(X_171,X_102),X_102)),X_102))) )],[refute_0_5687,refute_0_5690]) ).
cnf(refute_0_5692,plain,
commutator(multiply(X_171,X_102),inverse(multiply(X_171,multiply(X_171,multiply(X_102,X_102))))) = commutator(multiply(X_171,multiply(X_171,multiply(X_102,X_102))),multiply(X_171,X_102)),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(multiply(X_171,multiply(X_171,multiply(X_102,X_102))))),bind(X_110,$fot(multiply(X_171,X_102)))]]) ).
cnf(refute_0_5693,plain,
multiply(multiply(X_171,X_102),X_102) = multiply(X_171,multiply(X_102,X_102)),
inference(subst,[],[associativity:[bind(X,$fot(X_171)),bind(Y,$fot(X_102)),bind(Z,$fot(X_102))]]) ).
cnf(refute_0_5694,plain,
multiply(X_171,multiply(multiply(X_171,X_102),X_102)) = multiply(X_171,multiply(multiply(X_171,X_102),X_102)),
introduced(tautology,[refl,[$fot(multiply(X_171,multiply(multiply(X_171,X_102),X_102)))]]) ).
cnf(refute_0_5695,plain,
( multiply(X_171,multiply(multiply(X_171,X_102),X_102)) != multiply(X_171,multiply(multiply(X_171,X_102),X_102))
| multiply(multiply(X_171,X_102),X_102) != multiply(X_171,multiply(X_102,X_102))
| multiply(X_171,multiply(multiply(X_171,X_102),X_102)) = multiply(X_171,multiply(X_171,multiply(X_102,X_102))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_171,multiply(multiply(X_171,X_102),X_102)),multiply(X_171,multiply(multiply(X_171,X_102),X_102))) ),[1,1],$fot(multiply(X_171,multiply(X_102,X_102)))]]) ).
cnf(refute_0_5696,plain,
( multiply(multiply(X_171,X_102),X_102) != multiply(X_171,multiply(X_102,X_102))
| multiply(X_171,multiply(multiply(X_171,X_102),X_102)) = multiply(X_171,multiply(X_171,multiply(X_102,X_102))) ),
inference(resolve,[$cnf( $equal(multiply(X_171,multiply(multiply(X_171,X_102),X_102)),multiply(X_171,multiply(multiply(X_171,X_102),X_102))) )],[refute_0_5694,refute_0_5695]) ).
cnf(refute_0_5697,plain,
multiply(X_171,multiply(multiply(X_171,X_102),X_102)) = multiply(X_171,multiply(X_171,multiply(X_102,X_102))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_171,X_102),X_102),multiply(X_171,multiply(X_102,X_102))) )],[refute_0_5693,refute_0_5696]) ).
cnf(refute_0_5698,plain,
inverse(multiply(X_171,multiply(multiply(X_171,X_102),X_102))) = inverse(multiply(X_171,multiply(multiply(X_171,X_102),X_102))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_171,multiply(multiply(X_171,X_102),X_102))))]]) ).
cnf(refute_0_5699,plain,
( multiply(X_171,multiply(multiply(X_171,X_102),X_102)) != multiply(X_171,multiply(X_171,multiply(X_102,X_102)))
| inverse(multiply(X_171,multiply(multiply(X_171,X_102),X_102))) != inverse(multiply(X_171,multiply(multiply(X_171,X_102),X_102)))
| inverse(multiply(X_171,multiply(multiply(X_171,X_102),X_102))) = inverse(multiply(X_171,multiply(X_171,multiply(X_102,X_102)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_171,multiply(multiply(X_171,X_102),X_102))),inverse(multiply(X_171,multiply(multiply(X_171,X_102),X_102)))) ),[1,0],$fot(multiply(X_171,multiply(X_171,multiply(X_102,X_102))))]]) ).
cnf(refute_0_5700,plain,
( multiply(X_171,multiply(multiply(X_171,X_102),X_102)) != multiply(X_171,multiply(X_171,multiply(X_102,X_102)))
| inverse(multiply(X_171,multiply(multiply(X_171,X_102),X_102))) = inverse(multiply(X_171,multiply(X_171,multiply(X_102,X_102)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_171,multiply(multiply(X_171,X_102),X_102))),inverse(multiply(X_171,multiply(multiply(X_171,X_102),X_102)))) )],[refute_0_5698,refute_0_5699]) ).
cnf(refute_0_5701,plain,
inverse(multiply(X_171,multiply(multiply(X_171,X_102),X_102))) = inverse(multiply(X_171,multiply(X_171,multiply(X_102,X_102)))),
inference(resolve,[$cnf( $equal(multiply(X_171,multiply(multiply(X_171,X_102),X_102)),multiply(X_171,multiply(X_171,multiply(X_102,X_102)))) )],[refute_0_5697,refute_0_5700]) ).
cnf(refute_0_5702,plain,
multiply(inverse(multiply(multiply(X_171,X_102),X_102)),inverse(X_171)) = inverse(multiply(X_171,multiply(multiply(X_171,X_102),X_102))),
inference(subst,[],[refute_0_257:[bind(X_10,$fot(multiply(multiply(X_171,X_102),X_102))),bind(X_58,$fot(X_171))]]) ).
cnf(refute_0_5703,plain,
( multiply(inverse(multiply(multiply(X_171,X_102),X_102)),inverse(X_171)) != inverse(multiply(X_171,multiply(multiply(X_171,X_102),X_102)))
| inverse(multiply(X_171,multiply(multiply(X_171,X_102),X_102))) != inverse(multiply(X_171,multiply(X_171,multiply(X_102,X_102))))
| multiply(inverse(multiply(multiply(X_171,X_102),X_102)),inverse(X_171)) = inverse(multiply(X_171,multiply(X_171,multiply(X_102,X_102)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(multiply(X_171,X_102),X_102)),inverse(X_171)))),bind(Y0,$fot(inverse(multiply(X_171,multiply(multiply(X_171,X_102),X_102))))),bind(Z0,$fot(inverse(multiply(X_171,multiply(X_171,multiply(X_102,X_102))))))]]) ).
cnf(refute_0_5704,plain,
( inverse(multiply(X_171,multiply(multiply(X_171,X_102),X_102))) != inverse(multiply(X_171,multiply(X_171,multiply(X_102,X_102))))
| multiply(inverse(multiply(multiply(X_171,X_102),X_102)),inverse(X_171)) = inverse(multiply(X_171,multiply(X_171,multiply(X_102,X_102)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_171,X_102),X_102)),inverse(X_171)),inverse(multiply(X_171,multiply(multiply(X_171,X_102),X_102)))) )],[refute_0_5702,refute_0_5703]) ).
cnf(refute_0_5705,plain,
multiply(inverse(multiply(multiply(X_171,X_102),X_102)),inverse(X_171)) = inverse(multiply(X_171,multiply(X_171,multiply(X_102,X_102)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_171,multiply(multiply(X_171,X_102),X_102))),inverse(multiply(X_171,multiply(X_171,multiply(X_102,X_102))))) )],[refute_0_5701,refute_0_5704]) ).
cnf(refute_0_5706,plain,
commutator(multiply(X_171,X_102),multiply(inverse(multiply(multiply(X_171,X_102),X_102)),inverse(X_171))) = commutator(multiply(X_171,X_102),multiply(inverse(multiply(multiply(X_171,X_102),X_102)),inverse(X_171))),
introduced(tautology,[refl,[$fot(commutator(multiply(X_171,X_102),multiply(inverse(multiply(multiply(X_171,X_102),X_102)),inverse(X_171))))]]) ).
cnf(refute_0_5707,plain,
( multiply(inverse(multiply(multiply(X_171,X_102),X_102)),inverse(X_171)) != inverse(multiply(X_171,multiply(X_171,multiply(X_102,X_102))))
| commutator(multiply(X_171,X_102),multiply(inverse(multiply(multiply(X_171,X_102),X_102)),inverse(X_171))) != commutator(multiply(X_171,X_102),multiply(inverse(multiply(multiply(X_171,X_102),X_102)),inverse(X_171)))
| commutator(multiply(X_171,X_102),multiply(inverse(multiply(multiply(X_171,X_102),X_102)),inverse(X_171))) = commutator(multiply(X_171,X_102),inverse(multiply(X_171,multiply(X_171,multiply(X_102,X_102))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_171,X_102),multiply(inverse(multiply(multiply(X_171,X_102),X_102)),inverse(X_171))),commutator(multiply(X_171,X_102),multiply(inverse(multiply(multiply(X_171,X_102),X_102)),inverse(X_171)))) ),[1,1],$fot(inverse(multiply(X_171,multiply(X_171,multiply(X_102,X_102)))))]]) ).
cnf(refute_0_5708,plain,
( multiply(inverse(multiply(multiply(X_171,X_102),X_102)),inverse(X_171)) != inverse(multiply(X_171,multiply(X_171,multiply(X_102,X_102))))
| commutator(multiply(X_171,X_102),multiply(inverse(multiply(multiply(X_171,X_102),X_102)),inverse(X_171))) = commutator(multiply(X_171,X_102),inverse(multiply(X_171,multiply(X_171,multiply(X_102,X_102))))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_171,X_102),multiply(inverse(multiply(multiply(X_171,X_102),X_102)),inverse(X_171))),commutator(multiply(X_171,X_102),multiply(inverse(multiply(multiply(X_171,X_102),X_102)),inverse(X_171)))) )],[refute_0_5706,refute_0_5707]) ).
cnf(refute_0_5709,plain,
commutator(multiply(X_171,X_102),multiply(inverse(multiply(multiply(X_171,X_102),X_102)),inverse(X_171))) = commutator(multiply(X_171,X_102),inverse(multiply(X_171,multiply(X_171,multiply(X_102,X_102))))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_171,X_102),X_102)),inverse(X_171)),inverse(multiply(X_171,multiply(X_171,multiply(X_102,X_102))))) )],[refute_0_5705,refute_0_5708]) ).
cnf(refute_0_5710,plain,
( commutator(multiply(X_171,X_102),multiply(inverse(multiply(multiply(X_171,X_102),X_102)),inverse(X_171))) != commutator(multiply(X_171,X_102),inverse(multiply(X_171,multiply(X_171,multiply(X_102,X_102)))))
| commutator(multiply(X_171,X_102),inverse(multiply(X_171,multiply(X_171,multiply(X_102,X_102))))) != commutator(multiply(X_171,multiply(X_171,multiply(X_102,X_102))),multiply(X_171,X_102))
| commutator(multiply(X_171,X_102),multiply(inverse(multiply(multiply(X_171,X_102),X_102)),inverse(X_171))) = commutator(multiply(X_171,multiply(X_171,multiply(X_102,X_102))),multiply(X_171,X_102)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_171,X_102),multiply(inverse(multiply(multiply(X_171,X_102),X_102)),inverse(X_171))))),bind(Y0,$fot(commutator(multiply(X_171,X_102),inverse(multiply(X_171,multiply(X_171,multiply(X_102,X_102))))))),bind(Z0,$fot(commutator(multiply(X_171,multiply(X_171,multiply(X_102,X_102))),multiply(X_171,X_102))))]]) ).
cnf(refute_0_5711,plain,
( commutator(multiply(X_171,X_102),inverse(multiply(X_171,multiply(X_171,multiply(X_102,X_102))))) != commutator(multiply(X_171,multiply(X_171,multiply(X_102,X_102))),multiply(X_171,X_102))
| commutator(multiply(X_171,X_102),multiply(inverse(multiply(multiply(X_171,X_102),X_102)),inverse(X_171))) = commutator(multiply(X_171,multiply(X_171,multiply(X_102,X_102))),multiply(X_171,X_102)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_171,X_102),multiply(inverse(multiply(multiply(X_171,X_102),X_102)),inverse(X_171))),commutator(multiply(X_171,X_102),inverse(multiply(X_171,multiply(X_171,multiply(X_102,X_102)))))) )],[refute_0_5709,refute_0_5710]) ).
cnf(refute_0_5712,plain,
commutator(multiply(X_171,X_102),multiply(inverse(multiply(multiply(X_171,X_102),X_102)),inverse(X_171))) = commutator(multiply(X_171,multiply(X_171,multiply(X_102,X_102))),multiply(X_171,X_102)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_171,X_102),inverse(multiply(X_171,multiply(X_171,multiply(X_102,X_102))))),commutator(multiply(X_171,multiply(X_171,multiply(X_102,X_102))),multiply(X_171,X_102))) )],[refute_0_5692,refute_0_5711]) ).
cnf(refute_0_5713,plain,
( commutator(multiply(X_171,X_102),multiply(inverse(multiply(multiply(X_171,X_102),X_102)),inverse(X_171))) != commutator(multiply(X_171,multiply(X_171,multiply(X_102,X_102))),multiply(X_171,X_102))
| identity != commutator(multiply(X_171,X_102),multiply(inverse(multiply(multiply(X_171,X_102),X_102)),inverse(X_171)))
| identity = commutator(multiply(X_171,multiply(X_171,multiply(X_102,X_102))),multiply(X_171,X_102)) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(multiply(X_171,X_102),multiply(inverse(multiply(multiply(X_171,X_102),X_102)),inverse(X_171)))) ),[1],$fot(commutator(multiply(X_171,multiply(X_171,multiply(X_102,X_102))),multiply(X_171,X_102)))]]) ).
cnf(refute_0_5714,plain,
( identity != commutator(multiply(X_171,X_102),multiply(inverse(multiply(multiply(X_171,X_102),X_102)),inverse(X_171)))
| identity = commutator(multiply(X_171,multiply(X_171,multiply(X_102,X_102))),multiply(X_171,X_102)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_171,X_102),multiply(inverse(multiply(multiply(X_171,X_102),X_102)),inverse(X_171))),commutator(multiply(X_171,multiply(X_171,multiply(X_102,X_102))),multiply(X_171,X_102))) )],[refute_0_5712,refute_0_5713]) ).
cnf(refute_0_5715,plain,
identity = commutator(multiply(X_171,multiply(X_171,multiply(X_102,X_102))),multiply(X_171,X_102)),
inference(resolve,[$cnf( $equal(identity,commutator(multiply(X_171,X_102),multiply(inverse(multiply(multiply(X_171,X_102),X_102)),inverse(X_171)))) )],[refute_0_5691,refute_0_5714]) ).
cnf(refute_0_5716,plain,
identity = commutator(multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177))))),multiply(X_177,inverse(multiply(X_10,X_177)))),
inference(subst,[],[refute_0_5715:[bind(X_102,$fot(inverse(multiply(X_10,X_177)))),bind(X_171,$fot(X_177))]]) ).
cnf(refute_0_5717,plain,
multiply(X_177,inverse(multiply(X_10,X_177))) = inverse(X_10),
inference(subst,[],[refute_0_176:[bind(X_57,$fot(X_177))]]) ).
cnf(refute_0_5718,plain,
( multiply(X_177,inverse(multiply(X_10,X_177))) != inverse(X_10)
| identity != commutator(multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177))))),multiply(X_177,inverse(multiply(X_10,X_177))))
| identity = commutator(multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177))))),inverse(X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177))))),multiply(X_177,inverse(multiply(X_10,X_177))))) ),[1,1],$fot(inverse(X_10))]]) ).
cnf(refute_0_5719,plain,
( identity != commutator(multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177))))),multiply(X_177,inverse(multiply(X_10,X_177))))
| identity = commutator(multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177))))),inverse(X_10)) ),
inference(resolve,[$cnf( $equal(multiply(X_177,inverse(multiply(X_10,X_177))),inverse(X_10)) )],[refute_0_5717,refute_0_5718]) ).
cnf(refute_0_5720,plain,
identity = commutator(multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177))))),inverse(X_10)),
inference(resolve,[$cnf( $equal(identity,commutator(multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177))))),multiply(X_177,inverse(multiply(X_10,X_177))))) )],[refute_0_5716,refute_0_5719]) ).
cnf(refute_0_5721,plain,
multiply(multiply(X_10,X_177),X_10) = multiply(X_10,multiply(X_177,X_10)),
inference(subst,[],[associativity:[bind(X,$fot(X_10)),bind(Y,$fot(X_177)),bind(Z,$fot(X_10))]]) ).
cnf(refute_0_5722,plain,
inverse(multiply(multiply(X_10,X_177),X_10)) = inverse(multiply(multiply(X_10,X_177),X_10)),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_10,X_177),X_10)))]]) ).
cnf(refute_0_5723,plain,
( multiply(multiply(X_10,X_177),X_10) != multiply(X_10,multiply(X_177,X_10))
| inverse(multiply(multiply(X_10,X_177),X_10)) != inverse(multiply(multiply(X_10,X_177),X_10))
| inverse(multiply(multiply(X_10,X_177),X_10)) = inverse(multiply(X_10,multiply(X_177,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_10,X_177),X_10)),inverse(multiply(multiply(X_10,X_177),X_10))) ),[1,0],$fot(multiply(X_10,multiply(X_177,X_10)))]]) ).
cnf(refute_0_5724,plain,
( multiply(multiply(X_10,X_177),X_10) != multiply(X_10,multiply(X_177,X_10))
| inverse(multiply(multiply(X_10,X_177),X_10)) = inverse(multiply(X_10,multiply(X_177,X_10))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_10,X_177),X_10)),inverse(multiply(multiply(X_10,X_177),X_10))) )],[refute_0_5722,refute_0_5723]) ).
cnf(refute_0_5725,plain,
inverse(multiply(multiply(X_10,X_177),X_10)) = inverse(multiply(X_10,multiply(X_177,X_10))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_10,X_177),X_10),multiply(X_10,multiply(X_177,X_10))) )],[refute_0_5721,refute_0_5724]) ).
cnf(refute_0_5726,plain,
multiply(inverse(X_10),inverse(multiply(X_10,X_177))) = inverse(multiply(multiply(X_10,X_177),X_10)),
inference(subst,[],[refute_0_257:[bind(X_58,$fot(multiply(X_10,X_177)))]]) ).
cnf(refute_0_5727,plain,
multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177)))) = multiply(inverse(X_10),inverse(multiply(X_10,X_177))),
inference(subst,[],[refute_0_4027:[bind(X,$fot(X_177)),bind(Z,$fot(inverse(multiply(X_10,X_177)))),bind(X_58,$fot(X_10))]]) ).
cnf(refute_0_5728,plain,
( multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177)))) != multiply(inverse(X_10),inverse(multiply(X_10,X_177)))
| multiply(inverse(X_10),inverse(multiply(X_10,X_177))) != inverse(multiply(multiply(X_10,X_177),X_10))
| multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177)))) = inverse(multiply(multiply(X_10,X_177),X_10)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177)))))),bind(Y0,$fot(multiply(inverse(X_10),inverse(multiply(X_10,X_177))))),bind(Z0,$fot(inverse(multiply(multiply(X_10,X_177),X_10))))]]) ).
cnf(refute_0_5729,plain,
( multiply(inverse(X_10),inverse(multiply(X_10,X_177))) != inverse(multiply(multiply(X_10,X_177),X_10))
| multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177)))) = inverse(multiply(multiply(X_10,X_177),X_10)) ),
inference(resolve,[$cnf( $equal(multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177)))),multiply(inverse(X_10),inverse(multiply(X_10,X_177)))) )],[refute_0_5727,refute_0_5728]) ).
cnf(refute_0_5730,plain,
multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177)))) = inverse(multiply(multiply(X_10,X_177),X_10)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),inverse(multiply(X_10,X_177))),inverse(multiply(multiply(X_10,X_177),X_10))) )],[refute_0_5726,refute_0_5729]) ).
cnf(refute_0_5731,plain,
( multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177)))) != inverse(multiply(multiply(X_10,X_177),X_10))
| inverse(multiply(multiply(X_10,X_177),X_10)) != inverse(multiply(X_10,multiply(X_177,X_10)))
| multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177)))) = inverse(multiply(X_10,multiply(X_177,X_10))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177)))))),bind(Y0,$fot(inverse(multiply(multiply(X_10,X_177),X_10)))),bind(Z0,$fot(inverse(multiply(X_10,multiply(X_177,X_10)))))]]) ).
cnf(refute_0_5732,plain,
( inverse(multiply(multiply(X_10,X_177),X_10)) != inverse(multiply(X_10,multiply(X_177,X_10)))
| multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177)))) = inverse(multiply(X_10,multiply(X_177,X_10))) ),
inference(resolve,[$cnf( $equal(multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177)))),inverse(multiply(multiply(X_10,X_177),X_10))) )],[refute_0_5730,refute_0_5731]) ).
cnf(refute_0_5733,plain,
multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177)))) = inverse(multiply(X_10,multiply(X_177,X_10))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_10,X_177),X_10)),inverse(multiply(X_10,multiply(X_177,X_10)))) )],[refute_0_5725,refute_0_5732]) ).
cnf(refute_0_5734,plain,
multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177))))) = multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177))))),
introduced(tautology,[refl,[$fot(multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177))))))]]) ).
cnf(refute_0_5735,plain,
( multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177))))) != multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177)))))
| multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177)))) != inverse(multiply(X_10,multiply(X_177,X_10)))
| multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177))))) = multiply(X_177,inverse(multiply(X_10,multiply(X_177,X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177))))),multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177)))))) ),[1,1],$fot(inverse(multiply(X_10,multiply(X_177,X_10))))]]) ).
cnf(refute_0_5736,plain,
( multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177)))) != inverse(multiply(X_10,multiply(X_177,X_10)))
| multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177))))) = multiply(X_177,inverse(multiply(X_10,multiply(X_177,X_10)))) ),
inference(resolve,[$cnf( $equal(multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177))))),multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177)))))) )],[refute_0_5734,refute_0_5735]) ).
cnf(refute_0_5737,plain,
multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177))))) = multiply(X_177,inverse(multiply(X_10,multiply(X_177,X_10)))),
inference(resolve,[$cnf( $equal(multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177)))),inverse(multiply(X_10,multiply(X_177,X_10)))) )],[refute_0_5733,refute_0_5736]) ).
cnf(refute_0_5738,plain,
commutator(X_10,multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177)))))) = commutator(X_10,multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177)))))),
introduced(tautology,[refl,[$fot(commutator(X_10,multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177)))))))]]) ).
cnf(refute_0_5739,plain,
( multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177))))) != multiply(X_177,inverse(multiply(X_10,multiply(X_177,X_10))))
| commutator(X_10,multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177)))))) != commutator(X_10,multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177))))))
| commutator(X_10,multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177)))))) = commutator(X_10,multiply(X_177,inverse(multiply(X_10,multiply(X_177,X_10))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_10,multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177)))))),commutator(X_10,multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177))))))) ),[1,1],$fot(multiply(X_177,inverse(multiply(X_10,multiply(X_177,X_10)))))]]) ).
cnf(refute_0_5740,plain,
( multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177))))) != multiply(X_177,inverse(multiply(X_10,multiply(X_177,X_10))))
| commutator(X_10,multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177)))))) = commutator(X_10,multiply(X_177,inverse(multiply(X_10,multiply(X_177,X_10))))) ),
inference(resolve,[$cnf( $equal(commutator(X_10,multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177)))))),commutator(X_10,multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177))))))) )],[refute_0_5738,refute_0_5739]) ).
cnf(refute_0_5741,plain,
commutator(X_10,multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177)))))) = commutator(X_10,multiply(X_177,inverse(multiply(X_10,multiply(X_177,X_10))))),
inference(resolve,[$cnf( $equal(multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177))))),multiply(X_177,inverse(multiply(X_10,multiply(X_177,X_10))))) )],[refute_0_5737,refute_0_5740]) ).
cnf(refute_0_5742,plain,
commutator(multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177))))),inverse(X_10)) = commutator(X_10,multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177)))))),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(X_10)),bind(X_110,$fot(multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177)))))))]]) ).
cnf(refute_0_5743,plain,
( commutator(X_10,multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177)))))) != commutator(X_10,multiply(X_177,inverse(multiply(X_10,multiply(X_177,X_10)))))
| commutator(multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177))))),inverse(X_10)) != commutator(X_10,multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177))))))
| commutator(multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177))))),inverse(X_10)) = commutator(X_10,multiply(X_177,inverse(multiply(X_10,multiply(X_177,X_10))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177))))),inverse(X_10)))),bind(Y0,$fot(commutator(X_10,multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177)))))))),bind(Z0,$fot(commutator(X_10,multiply(X_177,inverse(multiply(X_10,multiply(X_177,X_10)))))))]]) ).
cnf(refute_0_5744,plain,
( commutator(X_10,multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177)))))) != commutator(X_10,multiply(X_177,inverse(multiply(X_10,multiply(X_177,X_10)))))
| commutator(multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177))))),inverse(X_10)) = commutator(X_10,multiply(X_177,inverse(multiply(X_10,multiply(X_177,X_10))))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177))))),inverse(X_10)),commutator(X_10,multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177))))))) )],[refute_0_5742,refute_0_5743]) ).
cnf(refute_0_5745,plain,
commutator(multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177))))),inverse(X_10)) = commutator(X_10,multiply(X_177,inverse(multiply(X_10,multiply(X_177,X_10))))),
inference(resolve,[$cnf( $equal(commutator(X_10,multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177)))))),commutator(X_10,multiply(X_177,inverse(multiply(X_10,multiply(X_177,X_10)))))) )],[refute_0_5741,refute_0_5744]) ).
cnf(refute_0_5746,plain,
( commutator(multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177))))),inverse(X_10)) != commutator(X_10,multiply(X_177,inverse(multiply(X_10,multiply(X_177,X_10)))))
| identity != commutator(multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177))))),inverse(X_10))
| identity = commutator(X_10,multiply(X_177,inverse(multiply(X_10,multiply(X_177,X_10))))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177))))),inverse(X_10))) ),[1],$fot(commutator(X_10,multiply(X_177,inverse(multiply(X_10,multiply(X_177,X_10))))))]]) ).
cnf(refute_0_5747,plain,
( identity != commutator(multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177))))),inverse(X_10))
| identity = commutator(X_10,multiply(X_177,inverse(multiply(X_10,multiply(X_177,X_10))))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177))))),inverse(X_10)),commutator(X_10,multiply(X_177,inverse(multiply(X_10,multiply(X_177,X_10)))))) )],[refute_0_5745,refute_0_5746]) ).
cnf(refute_0_5748,plain,
identity = commutator(X_10,multiply(X_177,inverse(multiply(X_10,multiply(X_177,X_10))))),
inference(resolve,[$cnf( $equal(identity,commutator(multiply(X_177,multiply(X_177,multiply(inverse(multiply(X_10,X_177)),inverse(multiply(X_10,X_177))))),inverse(X_10))) )],[refute_0_5720,refute_0_5747]) ).
cnf(refute_0_5749,plain,
identity = commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_236,X_237)),inverse(multiply(multiply(X_236,X_235),multiply(inverse(multiply(X_236,X_237)),multiply(X_236,X_235)))))),
inference(subst,[],[refute_0_5748:[bind(X_10,$fot(multiply(X_236,X_235))),bind(X_177,$fot(inverse(multiply(X_236,X_237))))]]) ).
cnf(refute_0_5750,plain,
multiply(inverse(X_237),X_235) = multiply(inverse(multiply(X_236,X_237)),multiply(X_236,X_235)),
inference(subst,[],[refute_0_677:[bind(Z,$fot(X_235)),bind(X_50,$fot(X_236)),bind(X_51,$fot(X_237))]]) ).
cnf(refute_0_5751,plain,
( multiply(inverse(X_237),X_235) != multiply(inverse(multiply(X_236,X_237)),multiply(X_236,X_235))
| multiply(inverse(multiply(X_236,X_237)),multiply(X_236,X_235)) = multiply(inverse(X_237),X_235) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(inverse(X_237),X_235))),bind(Y0,$fot(multiply(inverse(multiply(X_236,X_237)),multiply(X_236,X_235))))]]) ).
cnf(refute_0_5752,plain,
multiply(inverse(multiply(X_236,X_237)),multiply(X_236,X_235)) = multiply(inverse(X_237),X_235),
inference(resolve,[$cnf( $equal(multiply(inverse(X_237),X_235),multiply(inverse(multiply(X_236,X_237)),multiply(X_236,X_235))) )],[refute_0_5750,refute_0_5751]) ).
cnf(refute_0_5753,plain,
( multiply(inverse(multiply(X_236,X_237)),multiply(X_236,X_235)) != multiply(inverse(X_237),X_235)
| identity != commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_236,X_237)),inverse(multiply(multiply(X_236,X_235),multiply(inverse(multiply(X_236,X_237)),multiply(X_236,X_235))))))
| identity = commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_236,X_237)),inverse(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235))))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_236,X_237)),inverse(multiply(multiply(X_236,X_235),multiply(inverse(multiply(X_236,X_237)),multiply(X_236,X_235))))))) ),[1,1,1,0,1],$fot(multiply(inverse(X_237),X_235))]]) ).
cnf(refute_0_5754,plain,
( identity != commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_236,X_237)),inverse(multiply(multiply(X_236,X_235),multiply(inverse(multiply(X_236,X_237)),multiply(X_236,X_235))))))
| identity = commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_236,X_237)),inverse(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_236,X_237)),multiply(X_236,X_235)),multiply(inverse(X_237),X_235)) )],[refute_0_5752,refute_0_5753]) ).
cnf(refute_0_5755,plain,
identity = commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_236,X_237)),inverse(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235))))),
inference(resolve,[$cnf( $equal(identity,commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_236,X_237)),inverse(multiply(multiply(X_236,X_235),multiply(inverse(multiply(X_236,X_237)),multiply(X_236,X_235))))))) )],[refute_0_5749,refute_0_5754]) ).
cnf(refute_0_5756,plain,
commutator(multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))),multiply(X_236,X_235)) = commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_235,multiply(X_236,X_237))),X_237)),
inference(subst,[],[refute_0_4978:[bind(Z,$fot(multiply(X_235,multiply(X_236,X_237)))),bind(X_114,$fot(multiply(X_236,X_235))),bind(X_61,$fot(X_237))]]) ).
cnf(refute_0_5757,plain,
commutator(inverse(multiply(X,Y)),X_40) = commutator(X_40,multiply(X,Y)),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(multiply(X,Y))),bind(X_110,$fot(X_40))]]) ).
cnf(refute_0_5758,plain,
( commutator(inverse(multiply(X,Y)),X_40) != commutator(X_40,multiply(X,Y))
| commutator(inverse(multiply(X,Y)),X_40) != commutator(inverse(multiply(X,Y)),multiply(X,multiply(Y,X_40)))
| commutator(X_40,multiply(X,Y)) = commutator(inverse(multiply(X,Y)),multiply(X,multiply(Y,X_40))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(multiply(X,Y)),X_40),commutator(inverse(multiply(X,Y)),multiply(X,multiply(Y,X_40)))) ),[0],$fot(commutator(X_40,multiply(X,Y)))]]) ).
cnf(refute_0_5759,plain,
( commutator(inverse(multiply(X,Y)),X_40) != commutator(inverse(multiply(X,Y)),multiply(X,multiply(Y,X_40)))
| commutator(X_40,multiply(X,Y)) = commutator(inverse(multiply(X,Y)),multiply(X,multiply(Y,X_40))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X,Y)),X_40),commutator(X_40,multiply(X,Y))) )],[refute_0_5757,refute_0_5758]) ).
cnf(refute_0_5760,plain,
commutator(inverse(multiply(X,Y)),multiply(X,multiply(Y,X_40))) = commutator(multiply(X,multiply(Y,X_40)),multiply(X,Y)),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(multiply(X,Y))),bind(X_110,$fot(multiply(X,multiply(Y,X_40))))]]) ).
cnf(refute_0_5761,plain,
( commutator(X_40,multiply(X,Y)) != commutator(inverse(multiply(X,Y)),multiply(X,multiply(Y,X_40)))
| commutator(inverse(multiply(X,Y)),multiply(X,multiply(Y,X_40))) != commutator(multiply(X,multiply(Y,X_40)),multiply(X,Y))
| commutator(X_40,multiply(X,Y)) = commutator(multiply(X,multiply(Y,X_40)),multiply(X,Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(X_40,multiply(X,Y)),commutator(multiply(X,multiply(Y,X_40)),multiply(X,Y))) ),[0],$fot(commutator(inverse(multiply(X,Y)),multiply(X,multiply(Y,X_40))))]]) ).
cnf(refute_0_5762,plain,
( commutator(X_40,multiply(X,Y)) != commutator(inverse(multiply(X,Y)),multiply(X,multiply(Y,X_40)))
| commutator(X_40,multiply(X,Y)) = commutator(multiply(X,multiply(Y,X_40)),multiply(X,Y)) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X,Y)),multiply(X,multiply(Y,X_40))),commutator(multiply(X,multiply(Y,X_40)),multiply(X,Y))) )],[refute_0_5760,refute_0_5761]) ).
cnf(refute_0_5763,plain,
( commutator(inverse(multiply(X,Y)),X_40) != commutator(inverse(multiply(X,Y)),multiply(X,multiply(Y,X_40)))
| commutator(X_40,multiply(X,Y)) = commutator(multiply(X,multiply(Y,X_40)),multiply(X,Y)) ),
inference(resolve,[$cnf( $equal(commutator(X_40,multiply(X,Y)),commutator(inverse(multiply(X,Y)),multiply(X,multiply(Y,X_40)))) )],[refute_0_5759,refute_0_5762]) ).
cnf(refute_0_5764,plain,
commutator(X_40,multiply(X,Y)) = commutator(multiply(X,multiply(Y,X_40)),multiply(X,Y)),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X,Y)),X_40),commutator(inverse(multiply(X,Y)),multiply(X,multiply(Y,X_40)))) )],[refute_0_1436,refute_0_5763]) ).
cnf(refute_0_5765,plain,
( commutator(X_40,multiply(X,Y)) != commutator(multiply(X,multiply(Y,X_40)),multiply(X,Y))
| commutator(multiply(X,multiply(Y,X_40)),multiply(X,Y)) = commutator(X_40,multiply(X,Y)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_40,multiply(X,Y)))),bind(Y0,$fot(commutator(multiply(X,multiply(Y,X_40)),multiply(X,Y))))]]) ).
cnf(refute_0_5766,plain,
commutator(multiply(X,multiply(Y,X_40)),multiply(X,Y)) = commutator(X_40,multiply(X,Y)),
inference(resolve,[$cnf( $equal(commutator(X_40,multiply(X,Y)),commutator(multiply(X,multiply(Y,X_40)),multiply(X,Y))) )],[refute_0_5764,refute_0_5765]) ).
cnf(refute_0_5767,plain,
commutator(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))),multiply(X_236,X_235)) = commutator(multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))),multiply(X_236,X_235)),
inference(subst,[],[refute_0_5766:[bind(X,$fot(X_236)),bind(Y,$fot(X_235)),bind(X_40,$fot(multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237)))))]]) ).
cnf(refute_0_5768,plain,
( commutator(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))),multiply(X_236,X_235)) != commutator(multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))),multiply(X_236,X_235))
| commutator(multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))),multiply(X_236,X_235)) != commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_235,multiply(X_236,X_237))),X_237))
| commutator(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))),multiply(X_236,X_235)) = commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_235,multiply(X_236,X_237))),X_237)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))),multiply(X_236,X_235)))),bind(Y0,$fot(commutator(multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))),multiply(X_236,X_235)))),bind(Z0,$fot(commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_235,multiply(X_236,X_237))),X_237))))]]) ).
cnf(refute_0_5769,plain,
( commutator(multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))),multiply(X_236,X_235)) != commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_235,multiply(X_236,X_237))),X_237))
| commutator(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))),multiply(X_236,X_235)) = commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_235,multiply(X_236,X_237))),X_237)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))),multiply(X_236,X_235)),commutator(multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))),multiply(X_236,X_235))) )],[refute_0_5767,refute_0_5768]) ).
cnf(refute_0_5770,plain,
commutator(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))),multiply(X_236,X_235)) = commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_235,multiply(X_236,X_237))),X_237)),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))),multiply(X_236,X_235)),commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_235,multiply(X_236,X_237))),X_237))) )],[refute_0_5756,refute_0_5769]) ).
cnf(refute_0_5771,plain,
commutator(multiply(X_236,X_235),inverse(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))))) = commutator(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))),multiply(X_236,X_235)),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))))),bind(X_110,$fot(multiply(X_236,X_235)))]]) ).
cnf(refute_0_5772,plain,
( commutator(multiply(X_236,X_235),inverse(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))))) != commutator(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))),multiply(X_236,X_235))
| commutator(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))),multiply(X_236,X_235)) != commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_235,multiply(X_236,X_237))),X_237))
| commutator(multiply(X_236,X_235),inverse(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))))) = commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_235,multiply(X_236,X_237))),X_237)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_236,X_235),inverse(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))))))),bind(Y0,$fot(commutator(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))),multiply(X_236,X_235)))),bind(Z0,$fot(commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_235,multiply(X_236,X_237))),X_237))))]]) ).
cnf(refute_0_5773,plain,
( commutator(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))),multiply(X_236,X_235)) != commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_235,multiply(X_236,X_237))),X_237))
| commutator(multiply(X_236,X_235),inverse(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))))) = commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_235,multiply(X_236,X_237))),X_237)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_236,X_235),inverse(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))))),commutator(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))),multiply(X_236,X_235))) )],[refute_0_5771,refute_0_5772]) ).
cnf(refute_0_5774,plain,
commutator(multiply(X_236,X_235),inverse(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))))) = commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_235,multiply(X_236,X_237))),X_237)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))),multiply(X_236,X_235)),commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_235,multiply(X_236,X_237))),X_237))) )],[refute_0_5770,refute_0_5773]) ).
cnf(refute_0_5775,plain,
multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237)) = multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))),
inference(subst,[],[associativity:[bind(X,$fot(inverse(X_237))),bind(Y,$fot(X_235)),bind(Z,$fot(multiply(X_236,X_237)))]]) ).
cnf(refute_0_5776,plain,
multiply(X_235,multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237))) = multiply(X_235,multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237))),
introduced(tautology,[refl,[$fot(multiply(X_235,multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237))))]]) ).
cnf(refute_0_5777,plain,
( multiply(X_235,multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237))) != multiply(X_235,multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237)))
| multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237)) != multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237)))
| multiply(X_235,multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237))) = multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_235,multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237))),multiply(X_235,multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237)))) ),[1,1],$fot(multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))]]) ).
cnf(refute_0_5778,plain,
( multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237)) != multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237)))
| multiply(X_235,multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237))) = multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237)))) ),
inference(resolve,[$cnf( $equal(multiply(X_235,multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237))),multiply(X_235,multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237)))) )],[refute_0_5776,refute_0_5777]) ).
cnf(refute_0_5779,plain,
multiply(X_235,multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237))) = multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237)))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237)),multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237)))) )],[refute_0_5775,refute_0_5778]) ).
cnf(refute_0_5780,plain,
multiply(X_236,multiply(X_235,multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237)))) = multiply(X_236,multiply(X_235,multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237)))),
introduced(tautology,[refl,[$fot(multiply(X_236,multiply(X_235,multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237)))))]]) ).
cnf(refute_0_5781,plain,
( multiply(X_235,multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237))) != multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))
| multiply(X_236,multiply(X_235,multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237)))) != multiply(X_236,multiply(X_235,multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237))))
| multiply(X_236,multiply(X_235,multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237)))) = multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_236,multiply(X_235,multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237)))),multiply(X_236,multiply(X_235,multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237))))) ),[1,1],$fot(multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237)))))]]) ).
cnf(refute_0_5782,plain,
( multiply(X_235,multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237))) != multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))
| multiply(X_236,multiply(X_235,multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237)))) = multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))) ),
inference(resolve,[$cnf( $equal(multiply(X_236,multiply(X_235,multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237)))),multiply(X_236,multiply(X_235,multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237))))) )],[refute_0_5780,refute_0_5781]) ).
cnf(refute_0_5783,plain,
multiply(X_236,multiply(X_235,multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237)))) = multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))),
inference(resolve,[$cnf( $equal(multiply(X_235,multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237))),multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))) )],[refute_0_5779,refute_0_5782]) ).
cnf(refute_0_5784,plain,
multiply(multiply(X_236,X_235),multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237))) = multiply(X_236,multiply(X_235,multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237)))),
inference(subst,[],[associativity:[bind(X,$fot(X_236)),bind(Y,$fot(X_235)),bind(Z,$fot(multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237))))]]) ).
cnf(refute_0_5785,plain,
multiply(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)),multiply(X_236,X_237)) = multiply(multiply(X_236,X_235),multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237))),
inference(subst,[],[associativity:[bind(X,$fot(multiply(X_236,X_235))),bind(Y,$fot(multiply(inverse(X_237),X_235))),bind(Z,$fot(multiply(X_236,X_237)))]]) ).
cnf(refute_0_5786,plain,
( multiply(multiply(X_236,X_235),multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237))) != multiply(X_236,multiply(X_235,multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237))))
| multiply(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)),multiply(X_236,X_237)) != multiply(multiply(X_236,X_235),multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237)))
| multiply(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)),multiply(X_236,X_237)) = multiply(X_236,multiply(X_235,multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)),multiply(X_236,X_237)))),bind(Y0,$fot(multiply(multiply(X_236,X_235),multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237))))),bind(Z0,$fot(multiply(X_236,multiply(X_235,multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237))))))]]) ).
cnf(refute_0_5787,plain,
( multiply(multiply(X_236,X_235),multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237))) != multiply(X_236,multiply(X_235,multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237))))
| multiply(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)),multiply(X_236,X_237)) = multiply(X_236,multiply(X_235,multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)),multiply(X_236,X_237)),multiply(multiply(X_236,X_235),multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237)))) )],[refute_0_5785,refute_0_5786]) ).
cnf(refute_0_5788,plain,
multiply(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)),multiply(X_236,X_237)) = multiply(X_236,multiply(X_235,multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_236,X_235),multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237))),multiply(X_236,multiply(X_235,multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237))))) )],[refute_0_5784,refute_0_5787]) ).
cnf(refute_0_5789,plain,
( multiply(X_236,multiply(X_235,multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237)))) != multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237)))))
| multiply(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)),multiply(X_236,X_237)) != multiply(X_236,multiply(X_235,multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237))))
| multiply(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)),multiply(X_236,X_237)) = multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)),multiply(X_236,X_237)))),bind(Y0,$fot(multiply(X_236,multiply(X_235,multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237)))))),bind(Z0,$fot(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237)))))))]]) ).
cnf(refute_0_5790,plain,
( multiply(X_236,multiply(X_235,multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237)))) != multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237)))))
| multiply(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)),multiply(X_236,X_237)) = multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)),multiply(X_236,X_237)),multiply(X_236,multiply(X_235,multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237))))) )],[refute_0_5788,refute_0_5789]) ).
cnf(refute_0_5791,plain,
multiply(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)),multiply(X_236,X_237)) = multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))),
inference(resolve,[$cnf( $equal(multiply(X_236,multiply(X_235,multiply(multiply(inverse(X_237),X_235),multiply(X_236,X_237)))),multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237)))))) )],[refute_0_5783,refute_0_5790]) ).
cnf(refute_0_5792,plain,
inverse(multiply(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)),multiply(X_236,X_237))) = inverse(multiply(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)),multiply(X_236,X_237))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)),multiply(X_236,X_237))))]]) ).
cnf(refute_0_5793,plain,
( multiply(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)),multiply(X_236,X_237)) != multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237)))))
| inverse(multiply(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)),multiply(X_236,X_237))) != inverse(multiply(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)),multiply(X_236,X_237)))
| inverse(multiply(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)),multiply(X_236,X_237))) = inverse(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237)))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)),multiply(X_236,X_237))),inverse(multiply(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)),multiply(X_236,X_237)))) ),[1,0],$fot(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))))]]) ).
cnf(refute_0_5794,plain,
( multiply(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)),multiply(X_236,X_237)) != multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237)))))
| inverse(multiply(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)),multiply(X_236,X_237))) = inverse(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237)))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)),multiply(X_236,X_237))),inverse(multiply(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)),multiply(X_236,X_237)))) )],[refute_0_5792,refute_0_5793]) ).
cnf(refute_0_5795,plain,
inverse(multiply(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)),multiply(X_236,X_237))) = inverse(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237)))))),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)),multiply(X_236,X_237)),multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237)))))) )],[refute_0_5791,refute_0_5794]) ).
cnf(refute_0_5796,plain,
multiply(inverse(multiply(X_236,X_237)),inverse(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)))) = inverse(multiply(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)),multiply(X_236,X_237))),
inference(subst,[],[refute_0_257:[bind(X_10,$fot(multiply(X_236,X_237))),bind(X_58,$fot(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235))))]]) ).
cnf(refute_0_5797,plain,
( multiply(inverse(multiply(X_236,X_237)),inverse(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)))) != inverse(multiply(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)),multiply(X_236,X_237)))
| inverse(multiply(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)),multiply(X_236,X_237))) != inverse(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))))
| multiply(inverse(multiply(X_236,X_237)),inverse(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)))) = inverse(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237)))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_236,X_237)),inverse(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)))))),bind(Y0,$fot(inverse(multiply(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)),multiply(X_236,X_237))))),bind(Z0,$fot(inverse(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))))))]]) ).
cnf(refute_0_5798,plain,
( inverse(multiply(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)),multiply(X_236,X_237))) != inverse(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))))
| multiply(inverse(multiply(X_236,X_237)),inverse(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)))) = inverse(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237)))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_236,X_237)),inverse(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)))),inverse(multiply(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)),multiply(X_236,X_237)))) )],[refute_0_5796,refute_0_5797]) ).
cnf(refute_0_5799,plain,
multiply(inverse(multiply(X_236,X_237)),inverse(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)))) = inverse(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237)))))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)),multiply(X_236,X_237))),inverse(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))))) )],[refute_0_5795,refute_0_5798]) ).
cnf(refute_0_5800,plain,
commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_236,X_237)),inverse(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235))))) = commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_236,X_237)),inverse(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235))))),
introduced(tautology,[refl,[$fot(commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_236,X_237)),inverse(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235))))))]]) ).
cnf(refute_0_5801,plain,
( multiply(inverse(multiply(X_236,X_237)),inverse(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)))) != inverse(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))))
| commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_236,X_237)),inverse(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235))))) != commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_236,X_237)),inverse(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)))))
| commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_236,X_237)),inverse(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235))))) = commutator(multiply(X_236,X_235),inverse(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_236,X_237)),inverse(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235))))),commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_236,X_237)),inverse(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)))))) ),[1,1],$fot(inverse(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237)))))))]]) ).
cnf(refute_0_5802,plain,
( multiply(inverse(multiply(X_236,X_237)),inverse(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)))) != inverse(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))))
| commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_236,X_237)),inverse(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235))))) = commutator(multiply(X_236,X_235),inverse(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_236,X_237)),inverse(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235))))),commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_236,X_237)),inverse(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)))))) )],[refute_0_5800,refute_0_5801]) ).
cnf(refute_0_5803,plain,
commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_236,X_237)),inverse(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235))))) = commutator(multiply(X_236,X_235),inverse(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_236,X_237)),inverse(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)))),inverse(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))))) )],[refute_0_5799,refute_0_5802]) ).
cnf(refute_0_5804,plain,
( commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_236,X_237)),inverse(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235))))) != commutator(multiply(X_236,X_235),inverse(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237)))))))
| commutator(multiply(X_236,X_235),inverse(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))))) != commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_235,multiply(X_236,X_237))),X_237))
| commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_236,X_237)),inverse(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235))))) = commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_235,multiply(X_236,X_237))),X_237)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_236,X_237)),inverse(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235))))))),bind(Y0,$fot(commutator(multiply(X_236,X_235),inverse(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))))))),bind(Z0,$fot(commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_235,multiply(X_236,X_237))),X_237))))]]) ).
cnf(refute_0_5805,plain,
( commutator(multiply(X_236,X_235),inverse(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))))) != commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_235,multiply(X_236,X_237))),X_237))
| commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_236,X_237)),inverse(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235))))) = commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_235,multiply(X_236,X_237))),X_237)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_236,X_237)),inverse(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235))))),commutator(multiply(X_236,X_235),inverse(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237)))))))) )],[refute_0_5803,refute_0_5804]) ).
cnf(refute_0_5806,plain,
commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_236,X_237)),inverse(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235))))) = commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_235,multiply(X_236,X_237))),X_237)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_236,X_235),inverse(multiply(X_236,multiply(X_235,multiply(inverse(X_237),multiply(X_235,multiply(X_236,X_237))))))),commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_235,multiply(X_236,X_237))),X_237))) )],[refute_0_5774,refute_0_5805]) ).
cnf(refute_0_5807,plain,
( commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_236,X_237)),inverse(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235))))) != commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_235,multiply(X_236,X_237))),X_237))
| identity != commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_236,X_237)),inverse(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)))))
| identity = commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_235,multiply(X_236,X_237))),X_237)) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_236,X_237)),inverse(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)))))) ),[1],$fot(commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_235,multiply(X_236,X_237))),X_237)))]]) ).
cnf(refute_0_5808,plain,
( identity != commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_236,X_237)),inverse(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)))))
| identity = commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_235,multiply(X_236,X_237))),X_237)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_236,X_237)),inverse(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235))))),commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_235,multiply(X_236,X_237))),X_237))) )],[refute_0_5806,refute_0_5807]) ).
cnf(refute_0_5809,plain,
identity = commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_235,multiply(X_236,X_237))),X_237)),
inference(resolve,[$cnf( $equal(identity,commutator(multiply(X_236,X_235),multiply(inverse(multiply(X_236,X_237)),inverse(multiply(multiply(X_236,X_235),multiply(inverse(X_237),X_235)))))) )],[refute_0_5755,refute_0_5808]) ).
cnf(refute_0_5810,plain,
identity = commutator(multiply(X_454,inverse(X_455)),multiply(inverse(multiply(inverse(X_455),multiply(X_454,X_455))),X_455)),
inference(subst,[],[refute_0_5809:[bind(X_235,$fot(inverse(X_455))),bind(X_236,$fot(X_454)),bind(X_237,$fot(X_455))]]) ).
cnf(refute_0_5811,plain,
multiply(inverse(X_455),multiply(X_454,X_455)) = multiply(X_454,commutator(X_454,X_455)),
inference(subst,[],[refute_0_254:[bind(Y,$fot(X_455)),bind(X_27,$fot(X_454))]]) ).
cnf(refute_0_5812,plain,
( multiply(inverse(X_455),multiply(X_454,X_455)) != multiply(X_454,commutator(X_454,X_455))
| identity != commutator(multiply(X_454,inverse(X_455)),multiply(inverse(multiply(inverse(X_455),multiply(X_454,X_455))),X_455))
| identity = commutator(multiply(X_454,inverse(X_455)),multiply(inverse(multiply(X_454,commutator(X_454,X_455))),X_455)) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(multiply(X_454,inverse(X_455)),multiply(inverse(multiply(inverse(X_455),multiply(X_454,X_455))),X_455))) ),[1,1,0,0],$fot(multiply(X_454,commutator(X_454,X_455)))]]) ).
cnf(refute_0_5813,plain,
( identity != commutator(multiply(X_454,inverse(X_455)),multiply(inverse(multiply(inverse(X_455),multiply(X_454,X_455))),X_455))
| identity = commutator(multiply(X_454,inverse(X_455)),multiply(inverse(multiply(X_454,commutator(X_454,X_455))),X_455)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_455),multiply(X_454,X_455)),multiply(X_454,commutator(X_454,X_455))) )],[refute_0_5811,refute_0_5812]) ).
cnf(refute_0_5814,plain,
identity = commutator(multiply(X_454,inverse(X_455)),multiply(inverse(multiply(X_454,commutator(X_454,X_455))),X_455)),
inference(resolve,[$cnf( $equal(identity,commutator(multiply(X_454,inverse(X_455)),multiply(inverse(multiply(inverse(X_455),multiply(X_454,X_455))),X_455))) )],[refute_0_5810,refute_0_5813]) ).
cnf(refute_0_5815,plain,
multiply(commutator(inverse(X_10),inverse(X_58)),multiply(inverse(X_10),inverse(multiply(inverse(X_10),inverse(X_58))))) = inverse(inverse(X_58)),
inference(subst,[],[refute_0_1884:[bind(X_10,$fot(inverse(X_58))),bind(X_136,$fot(inverse(X_10)))]]) ).
cnf(refute_0_5816,plain,
( multiply(commutator(inverse(X_10),inverse(X_58)),multiply(inverse(X_10),inverse(multiply(inverse(X_10),inverse(X_58))))) != inverse(inverse(X_58))
| multiply(inverse(X_10),inverse(X_58)) != inverse(multiply(X_58,X_10))
| multiply(commutator(inverse(X_10),inverse(X_58)),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10))))) = inverse(inverse(X_58)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(inverse(X_10),inverse(X_58)),multiply(inverse(X_10),inverse(multiply(inverse(X_10),inverse(X_58))))),inverse(inverse(X_58))) ),[0,1,1,0],$fot(inverse(multiply(X_58,X_10)))]]) ).
cnf(refute_0_5817,plain,
( multiply(commutator(inverse(X_10),inverse(X_58)),multiply(inverse(X_10),inverse(multiply(inverse(X_10),inverse(X_58))))) != inverse(inverse(X_58))
| multiply(commutator(inverse(X_10),inverse(X_58)),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10))))) = inverse(inverse(X_58)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),inverse(X_58)),inverse(multiply(X_58,X_10))) )],[refute_0_257,refute_0_5816]) ).
cnf(refute_0_5818,plain,
multiply(commutator(inverse(X_10),inverse(X_58)),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10))))) = inverse(inverse(X_58)),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(X_10),inverse(X_58)),multiply(inverse(X_10),inverse(multiply(inverse(X_10),inverse(X_58))))),inverse(inverse(X_58))) )],[refute_0_5815,refute_0_5817]) ).
cnf(refute_0_5819,plain,
inverse(multiply(inverse(multiply(X_58,X_10)),X_10)) = multiply(inverse(X_10),multiply(X_58,X_10)),
inference(subst,[],[refute_0_294:[bind(Z,$fot(X_10)),bind(X_61,$fot(multiply(X_58,X_10)))]]) ).
cnf(refute_0_5820,plain,
multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10)))) = inverse(multiply(inverse(multiply(X_58,X_10)),X_10)),
inference(subst,[],[refute_0_257:[bind(X_58,$fot(inverse(multiply(X_58,X_10))))]]) ).
cnf(refute_0_5821,plain,
( multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10)))) != inverse(multiply(inverse(multiply(X_58,X_10)),X_10))
| inverse(multiply(inverse(multiply(X_58,X_10)),X_10)) != multiply(inverse(X_10),multiply(X_58,X_10))
| multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10)))) = multiply(inverse(X_10),multiply(X_58,X_10)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10)))))),bind(Y0,$fot(inverse(multiply(inverse(multiply(X_58,X_10)),X_10)))),bind(Z0,$fot(multiply(inverse(X_10),multiply(X_58,X_10))))]]) ).
cnf(refute_0_5822,plain,
( inverse(multiply(inverse(multiply(X_58,X_10)),X_10)) != multiply(inverse(X_10),multiply(X_58,X_10))
| multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10)))) = multiply(inverse(X_10),multiply(X_58,X_10)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10)))),inverse(multiply(inverse(multiply(X_58,X_10)),X_10))) )],[refute_0_5820,refute_0_5821]) ).
cnf(refute_0_5823,plain,
multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10)))) = multiply(inverse(X_10),multiply(X_58,X_10)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(X_58,X_10)),X_10)),multiply(inverse(X_10),multiply(X_58,X_10))) )],[refute_0_5819,refute_0_5822]) ).
cnf(refute_0_5824,plain,
multiply(commutator(X_10,X_58),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10))))) = multiply(commutator(X_10,X_58),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10))))),
introduced(tautology,[refl,[$fot(multiply(commutator(X_10,X_58),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10))))))]]) ).
cnf(refute_0_5825,plain,
( multiply(commutator(X_10,X_58),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10))))) != multiply(commutator(X_10,X_58),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10)))))
| multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10)))) != multiply(inverse(X_10),multiply(X_58,X_10))
| multiply(commutator(X_10,X_58),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10))))) = multiply(commutator(X_10,X_58),multiply(inverse(X_10),multiply(X_58,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_10,X_58),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10))))),multiply(commutator(X_10,X_58),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10)))))) ),[1,1],$fot(multiply(inverse(X_10),multiply(X_58,X_10)))]]) ).
cnf(refute_0_5826,plain,
( multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10)))) != multiply(inverse(X_10),multiply(X_58,X_10))
| multiply(commutator(X_10,X_58),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10))))) = multiply(commutator(X_10,X_58),multiply(inverse(X_10),multiply(X_58,X_10))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_10,X_58),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10))))),multiply(commutator(X_10,X_58),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10)))))) )],[refute_0_5824,refute_0_5825]) ).
cnf(refute_0_5827,plain,
multiply(commutator(X_10,X_58),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10))))) = multiply(commutator(X_10,X_58),multiply(inverse(X_10),multiply(X_58,X_10))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10)))),multiply(inverse(X_10),multiply(X_58,X_10))) )],[refute_0_5823,refute_0_5826]) ).
cnf(refute_0_5828,plain,
commutator(X_58,inverse(X_10)) = commutator(X_10,X_58),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(X_10)),bind(X_110,$fot(X_58))]]) ).
cnf(refute_0_5829,plain,
commutator(inverse(X_10),inverse(X_58)) = commutator(X_58,inverse(X_10)),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(X_58)),bind(X_110,$fot(inverse(X_10)))]]) ).
cnf(refute_0_5830,plain,
( commutator(X_58,inverse(X_10)) != commutator(X_10,X_58)
| commutator(inverse(X_10),inverse(X_58)) != commutator(X_58,inverse(X_10))
| commutator(inverse(X_10),inverse(X_58)) = commutator(X_10,X_58) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(inverse(X_10),inverse(X_58)))),bind(Y0,$fot(commutator(X_58,inverse(X_10)))),bind(Z0,$fot(commutator(X_10,X_58)))]]) ).
cnf(refute_0_5831,plain,
( commutator(X_58,inverse(X_10)) != commutator(X_10,X_58)
| commutator(inverse(X_10),inverse(X_58)) = commutator(X_10,X_58) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_10),inverse(X_58)),commutator(X_58,inverse(X_10))) )],[refute_0_5829,refute_0_5830]) ).
cnf(refute_0_5832,plain,
commutator(inverse(X_10),inverse(X_58)) = commutator(X_10,X_58),
inference(resolve,[$cnf( $equal(commutator(X_58,inverse(X_10)),commutator(X_10,X_58)) )],[refute_0_5828,refute_0_5831]) ).
cnf(refute_0_5833,plain,
multiply(commutator(inverse(X_10),inverse(X_58)),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10))))) = multiply(commutator(inverse(X_10),inverse(X_58)),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10))))),
introduced(tautology,[refl,[$fot(multiply(commutator(inverse(X_10),inverse(X_58)),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10))))))]]) ).
cnf(refute_0_5834,plain,
( multiply(commutator(inverse(X_10),inverse(X_58)),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10))))) != multiply(commutator(inverse(X_10),inverse(X_58)),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10)))))
| commutator(inverse(X_10),inverse(X_58)) != commutator(X_10,X_58)
| multiply(commutator(inverse(X_10),inverse(X_58)),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10))))) = multiply(commutator(X_10,X_58),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(inverse(X_10),inverse(X_58)),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10))))),multiply(commutator(inverse(X_10),inverse(X_58)),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10)))))) ),[1,0],$fot(commutator(X_10,X_58))]]) ).
cnf(refute_0_5835,plain,
( commutator(inverse(X_10),inverse(X_58)) != commutator(X_10,X_58)
| multiply(commutator(inverse(X_10),inverse(X_58)),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10))))) = multiply(commutator(X_10,X_58),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10))))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(X_10),inverse(X_58)),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10))))),multiply(commutator(inverse(X_10),inverse(X_58)),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10)))))) )],[refute_0_5833,refute_0_5834]) ).
cnf(refute_0_5836,plain,
multiply(commutator(inverse(X_10),inverse(X_58)),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10))))) = multiply(commutator(X_10,X_58),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10))))),
inference(resolve,[$cnf( $equal(commutator(inverse(X_10),inverse(X_58)),commutator(X_10,X_58)) )],[refute_0_5832,refute_0_5835]) ).
cnf(refute_0_5837,plain,
( multiply(commutator(X_10,X_58),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10))))) != multiply(commutator(X_10,X_58),multiply(inverse(X_10),multiply(X_58,X_10)))
| multiply(commutator(inverse(X_10),inverse(X_58)),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10))))) != multiply(commutator(X_10,X_58),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10)))))
| multiply(commutator(inverse(X_10),inverse(X_58)),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10))))) = multiply(commutator(X_10,X_58),multiply(inverse(X_10),multiply(X_58,X_10))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(inverse(X_10),inverse(X_58)),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10))))))),bind(Y0,$fot(multiply(commutator(X_10,X_58),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10))))))),bind(Z0,$fot(multiply(commutator(X_10,X_58),multiply(inverse(X_10),multiply(X_58,X_10)))))]]) ).
cnf(refute_0_5838,plain,
( multiply(commutator(X_10,X_58),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10))))) != multiply(commutator(X_10,X_58),multiply(inverse(X_10),multiply(X_58,X_10)))
| multiply(commutator(inverse(X_10),inverse(X_58)),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10))))) = multiply(commutator(X_10,X_58),multiply(inverse(X_10),multiply(X_58,X_10))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(X_10),inverse(X_58)),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10))))),multiply(commutator(X_10,X_58),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10)))))) )],[refute_0_5836,refute_0_5837]) ).
cnf(refute_0_5839,plain,
multiply(commutator(inverse(X_10),inverse(X_58)),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10))))) = multiply(commutator(X_10,X_58),multiply(inverse(X_10),multiply(X_58,X_10))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_10,X_58),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10))))),multiply(commutator(X_10,X_58),multiply(inverse(X_10),multiply(X_58,X_10)))) )],[refute_0_5827,refute_0_5838]) ).
cnf(refute_0_5840,plain,
( multiply(commutator(inverse(X_10),inverse(X_58)),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10))))) != multiply(commutator(X_10,X_58),multiply(inverse(X_10),multiply(X_58,X_10)))
| multiply(commutator(inverse(X_10),inverse(X_58)),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10))))) != inverse(inverse(X_58))
| multiply(commutator(X_10,X_58),multiply(inverse(X_10),multiply(X_58,X_10))) = inverse(inverse(X_58)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(inverse(X_10),inverse(X_58)),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10))))),inverse(inverse(X_58))) ),[0],$fot(multiply(commutator(X_10,X_58),multiply(inverse(X_10),multiply(X_58,X_10))))]]) ).
cnf(refute_0_5841,plain,
( multiply(commutator(inverse(X_10),inverse(X_58)),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10))))) != inverse(inverse(X_58))
| multiply(commutator(X_10,X_58),multiply(inverse(X_10),multiply(X_58,X_10))) = inverse(inverse(X_58)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(X_10),inverse(X_58)),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10))))),multiply(commutator(X_10,X_58),multiply(inverse(X_10),multiply(X_58,X_10)))) )],[refute_0_5839,refute_0_5840]) ).
cnf(refute_0_5842,plain,
( multiply(commutator(X_10,X_58),multiply(inverse(X_10),multiply(X_58,X_10))) != inverse(inverse(X_58))
| inverse(inverse(X_58)) != X_58
| multiply(commutator(X_10,X_58),multiply(inverse(X_10),multiply(X_58,X_10))) = X_58 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(commutator(X_10,X_58),multiply(inverse(X_10),multiply(X_58,X_10))),X_58) ),[0],$fot(inverse(inverse(X_58)))]]) ).
cnf(refute_0_5843,plain,
( multiply(commutator(X_10,X_58),multiply(inverse(X_10),multiply(X_58,X_10))) != inverse(inverse(X_58))
| multiply(commutator(X_10,X_58),multiply(inverse(X_10),multiply(X_58,X_10))) = X_58 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_58)),X_58) )],[refute_0_201,refute_0_5842]) ).
cnf(refute_0_5844,plain,
( multiply(commutator(inverse(X_10),inverse(X_58)),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10))))) != inverse(inverse(X_58))
| multiply(commutator(X_10,X_58),multiply(inverse(X_10),multiply(X_58,X_10))) = X_58 ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_10,X_58),multiply(inverse(X_10),multiply(X_58,X_10))),inverse(inverse(X_58))) )],[refute_0_5841,refute_0_5843]) ).
cnf(refute_0_5845,plain,
multiply(commutator(X_10,X_58),multiply(inverse(X_10),multiply(X_58,X_10))) = X_58,
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(X_10),inverse(X_58)),multiply(inverse(X_10),inverse(inverse(multiply(X_58,X_10))))),inverse(inverse(X_58))) )],[refute_0_5818,refute_0_5844]) ).
cnf(refute_0_5846,plain,
multiply(commutator(multiply(inverse(X_135),X_167),multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))),multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167)))) = multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),
inference(subst,[],[refute_0_5845:[bind(X_10,$fot(multiply(inverse(X_135),X_167))),bind(X_58,$fot(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))))]]) ).
cnf(refute_0_5847,plain,
identity = commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(multiply(X_256,X_257),multiply(X_256,X_257)))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(X_256,X_257))),
inference(subst,[],[refute_0_5715:[bind(X_102,$fot(multiply(X_256,X_257))),bind(X_171,$fot(inverse(multiply(X_256,multiply(X_256,X_257)))))]]) ).
cnf(refute_0_5848,plain,
multiply(commutator(multiply(X_256,X_257),X_256),X_257) = multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(multiply(X_256,X_257),multiply(X_256,X_257))),
inference(subst,[],[refute_0_246:[bind(X,$fot(multiply(X_256,X_257))),bind(Y,$fot(X_256)),bind(X_11,$fot(X_257))]]) ).
cnf(refute_0_5849,plain,
( multiply(commutator(multiply(X_256,X_257),X_256),X_257) != multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(multiply(X_256,X_257),multiply(X_256,X_257)))
| multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(multiply(X_256,X_257),multiply(X_256,X_257))) = multiply(commutator(multiply(X_256,X_257),X_256),X_257) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(commutator(multiply(X_256,X_257),X_256),X_257))),bind(Y0,$fot(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(multiply(X_256,X_257),multiply(X_256,X_257)))))]]) ).
cnf(refute_0_5850,plain,
multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(multiply(X_256,X_257),multiply(X_256,X_257))) = multiply(commutator(multiply(X_256,X_257),X_256),X_257),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_256,X_257),X_256),X_257),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(multiply(X_256,X_257),multiply(X_256,X_257)))) )],[refute_0_5848,refute_0_5849]) ).
cnf(refute_0_5851,plain,
( multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(multiply(X_256,X_257),multiply(X_256,X_257))) != multiply(commutator(multiply(X_256,X_257),X_256),X_257)
| identity != commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(multiply(X_256,X_257),multiply(X_256,X_257)))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(X_256,X_257)))
| identity = commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(commutator(multiply(X_256,X_257),X_256),X_257)),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(X_256,X_257))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(multiply(X_256,X_257),multiply(X_256,X_257)))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(X_256,X_257)))) ),[1,0,1],$fot(multiply(commutator(multiply(X_256,X_257),X_256),X_257))]]) ).
cnf(refute_0_5852,plain,
( identity != commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(multiply(X_256,X_257),multiply(X_256,X_257)))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(X_256,X_257)))
| identity = commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(commutator(multiply(X_256,X_257),X_256),X_257)),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(X_256,X_257))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(multiply(X_256,X_257),multiply(X_256,X_257))),multiply(commutator(multiply(X_256,X_257),X_256),X_257)) )],[refute_0_5850,refute_0_5851]) ).
cnf(refute_0_5853,plain,
identity = commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(commutator(multiply(X_256,X_257),X_256),X_257)),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(X_256,X_257))),
inference(resolve,[$cnf( $equal(identity,commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(multiply(X_256,X_257),multiply(X_256,X_257)))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(X_256,X_257)))) )],[refute_0_5847,refute_0_5852]) ).
cnf(refute_0_5854,plain,
multiply(inverse(multiply(X_154,multiply(X_27,inverse(X_154)))),X_235) = multiply(inverse(multiply(commutator(X_27,X_154),multiply(X_154,multiply(X_27,inverse(X_154))))),multiply(commutator(X_27,X_154),X_235)),
inference(subst,[],[refute_0_677:[bind(Z,$fot(X_235)),bind(X_50,$fot(commutator(X_27,X_154))),bind(X_51,$fot(multiply(X_154,multiply(X_27,inverse(X_154)))))]]) ).
cnf(refute_0_5855,plain,
multiply(inverse(commutator(X_154,X_27)),multiply(X_27,commutator(X_154,X_27))) = multiply(X_27,commutator(X_27,commutator(X_154,X_27))),
inference(subst,[],[refute_0_254:[bind(Y,$fot(commutator(X_154,X_27)))]]) ).
cnf(refute_0_5856,plain,
multiply(X_154,multiply(X_27,inverse(X_154))) = multiply(X_27,commutator(X_154,X_27)),
inference(subst,[],[refute_0_933:[bind(X_10,$fot(X_27)),bind(X_90,$fot(X_154))]]) ).
cnf(refute_0_5857,plain,
( multiply(X_154,multiply(X_27,inverse(X_154))) != multiply(X_27,commutator(X_154,X_27))
| multiply(X_27,commutator(X_154,X_27)) = multiply(X_154,multiply(X_27,inverse(X_154))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(X_154,multiply(X_27,inverse(X_154))))),bind(Y0,$fot(multiply(X_27,commutator(X_154,X_27))))]]) ).
cnf(refute_0_5858,plain,
multiply(X_27,commutator(X_154,X_27)) = multiply(X_154,multiply(X_27,inverse(X_154))),
inference(resolve,[$cnf( $equal(multiply(X_154,multiply(X_27,inverse(X_154))),multiply(X_27,commutator(X_154,X_27))) )],[refute_0_5856,refute_0_5857]) ).
cnf(refute_0_5859,plain,
( multiply(X_27,commutator(X_154,X_27)) != multiply(X_154,multiply(X_27,inverse(X_154)))
| multiply(inverse(commutator(X_154,X_27)),multiply(X_27,commutator(X_154,X_27))) != multiply(X_27,commutator(X_27,commutator(X_154,X_27)))
| multiply(inverse(commutator(X_154,X_27)),multiply(X_154,multiply(X_27,inverse(X_154)))) = multiply(X_27,commutator(X_27,commutator(X_154,X_27))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(commutator(X_154,X_27)),multiply(X_27,commutator(X_154,X_27))),multiply(X_27,commutator(X_27,commutator(X_154,X_27)))) ),[0,1],$fot(multiply(X_154,multiply(X_27,inverse(X_154))))]]) ).
cnf(refute_0_5860,plain,
( multiply(inverse(commutator(X_154,X_27)),multiply(X_27,commutator(X_154,X_27))) != multiply(X_27,commutator(X_27,commutator(X_154,X_27)))
| multiply(inverse(commutator(X_154,X_27)),multiply(X_154,multiply(X_27,inverse(X_154)))) = multiply(X_27,commutator(X_27,commutator(X_154,X_27))) ),
inference(resolve,[$cnf( $equal(multiply(X_27,commutator(X_154,X_27)),multiply(X_154,multiply(X_27,inverse(X_154)))) )],[refute_0_5858,refute_0_5859]) ).
cnf(refute_0_5861,plain,
multiply(inverse(commutator(X_154,X_27)),multiply(X_154,multiply(X_27,inverse(X_154)))) = multiply(X_27,commutator(X_27,commutator(X_154,X_27))),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X_154,X_27)),multiply(X_27,commutator(X_154,X_27))),multiply(X_27,commutator(X_27,commutator(X_154,X_27)))) )],[refute_0_5855,refute_0_5860]) ).
cnf(refute_0_5862,plain,
inverse(commutator(X_154,X_27)) = commutator(X_27,X_154),
inference(subst,[],[refute_0_386:[bind(X,$fot(X_27)),bind(Y,$fot(X_154))]]) ).
cnf(refute_0_5863,plain,
multiply(inverse(commutator(X_154,X_27)),multiply(X_154,multiply(X_27,inverse(X_154)))) = multiply(inverse(commutator(X_154,X_27)),multiply(X_154,multiply(X_27,inverse(X_154)))),
introduced(tautology,[refl,[$fot(multiply(inverse(commutator(X_154,X_27)),multiply(X_154,multiply(X_27,inverse(X_154)))))]]) ).
cnf(refute_0_5864,plain,
( multiply(inverse(commutator(X_154,X_27)),multiply(X_154,multiply(X_27,inverse(X_154)))) != multiply(inverse(commutator(X_154,X_27)),multiply(X_154,multiply(X_27,inverse(X_154))))
| inverse(commutator(X_154,X_27)) != commutator(X_27,X_154)
| multiply(inverse(commutator(X_154,X_27)),multiply(X_154,multiply(X_27,inverse(X_154)))) = multiply(commutator(X_27,X_154),multiply(X_154,multiply(X_27,inverse(X_154)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(commutator(X_154,X_27)),multiply(X_154,multiply(X_27,inverse(X_154)))),multiply(inverse(commutator(X_154,X_27)),multiply(X_154,multiply(X_27,inverse(X_154))))) ),[1,0],$fot(commutator(X_27,X_154))]]) ).
cnf(refute_0_5865,plain,
( inverse(commutator(X_154,X_27)) != commutator(X_27,X_154)
| multiply(inverse(commutator(X_154,X_27)),multiply(X_154,multiply(X_27,inverse(X_154)))) = multiply(commutator(X_27,X_154),multiply(X_154,multiply(X_27,inverse(X_154)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X_154,X_27)),multiply(X_154,multiply(X_27,inverse(X_154)))),multiply(inverse(commutator(X_154,X_27)),multiply(X_154,multiply(X_27,inverse(X_154))))) )],[refute_0_5863,refute_0_5864]) ).
cnf(refute_0_5866,plain,
multiply(inverse(commutator(X_154,X_27)),multiply(X_154,multiply(X_27,inverse(X_154)))) = multiply(commutator(X_27,X_154),multiply(X_154,multiply(X_27,inverse(X_154)))),
inference(resolve,[$cnf( $equal(inverse(commutator(X_154,X_27)),commutator(X_27,X_154)) )],[refute_0_5862,refute_0_5865]) ).
cnf(refute_0_5867,plain,
( multiply(inverse(commutator(X_154,X_27)),multiply(X_154,multiply(X_27,inverse(X_154)))) != multiply(X_27,commutator(X_27,commutator(X_154,X_27)))
| multiply(inverse(commutator(X_154,X_27)),multiply(X_154,multiply(X_27,inverse(X_154)))) != multiply(commutator(X_27,X_154),multiply(X_154,multiply(X_27,inverse(X_154))))
| multiply(commutator(X_27,X_154),multiply(X_154,multiply(X_27,inverse(X_154)))) = multiply(X_27,commutator(X_27,commutator(X_154,X_27))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(commutator(X_154,X_27)),multiply(X_154,multiply(X_27,inverse(X_154)))),multiply(X_27,commutator(X_27,commutator(X_154,X_27)))) ),[0],$fot(multiply(commutator(X_27,X_154),multiply(X_154,multiply(X_27,inverse(X_154)))))]]) ).
cnf(refute_0_5868,plain,
( multiply(inverse(commutator(X_154,X_27)),multiply(X_154,multiply(X_27,inverse(X_154)))) != multiply(X_27,commutator(X_27,commutator(X_154,X_27)))
| multiply(commutator(X_27,X_154),multiply(X_154,multiply(X_27,inverse(X_154)))) = multiply(X_27,commutator(X_27,commutator(X_154,X_27))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X_154,X_27)),multiply(X_154,multiply(X_27,inverse(X_154)))),multiply(commutator(X_27,X_154),multiply(X_154,multiply(X_27,inverse(X_154))))) )],[refute_0_5866,refute_0_5867]) ).
cnf(refute_0_5869,plain,
commutator(X_27,commutator(X_154,X_27)) = identity,
inference(subst,[],[refute_0_1159:[bind(Z,$fot(X_154)),bind(X_66,$fot(X_27))]]) ).
cnf(refute_0_5870,plain,
multiply(X_27,commutator(X_27,commutator(X_154,X_27))) = multiply(X_27,commutator(X_27,commutator(X_154,X_27))),
introduced(tautology,[refl,[$fot(multiply(X_27,commutator(X_27,commutator(X_154,X_27))))]]) ).
cnf(refute_0_5871,plain,
( multiply(X_27,commutator(X_27,commutator(X_154,X_27))) != multiply(X_27,commutator(X_27,commutator(X_154,X_27)))
| commutator(X_27,commutator(X_154,X_27)) != identity
| multiply(X_27,commutator(X_27,commutator(X_154,X_27))) = multiply(X_27,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_27,commutator(X_27,commutator(X_154,X_27))),multiply(X_27,commutator(X_27,commutator(X_154,X_27)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_5872,plain,
( commutator(X_27,commutator(X_154,X_27)) != identity
| multiply(X_27,commutator(X_27,commutator(X_154,X_27))) = multiply(X_27,identity) ),
inference(resolve,[$cnf( $equal(multiply(X_27,commutator(X_27,commutator(X_154,X_27))),multiply(X_27,commutator(X_27,commutator(X_154,X_27)))) )],[refute_0_5870,refute_0_5871]) ).
cnf(refute_0_5873,plain,
multiply(X_27,commutator(X_27,commutator(X_154,X_27))) = multiply(X_27,identity),
inference(resolve,[$cnf( $equal(commutator(X_27,commutator(X_154,X_27)),identity) )],[refute_0_5869,refute_0_5872]) ).
cnf(refute_0_5874,plain,
( multiply(X_27,commutator(X_27,commutator(X_154,X_27))) != multiply(X_27,identity)
| multiply(X_27,identity) != X_27
| multiply(X_27,commutator(X_27,commutator(X_154,X_27))) = X_27 ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_27,commutator(X_27,commutator(X_154,X_27))))),bind(Y0,$fot(multiply(X_27,identity))),bind(Z0,$fot(X_27))]]) ).
cnf(refute_0_5875,plain,
( multiply(X_27,identity) != X_27
| multiply(X_27,commutator(X_27,commutator(X_154,X_27))) = X_27 ),
inference(resolve,[$cnf( $equal(multiply(X_27,commutator(X_27,commutator(X_154,X_27))),multiply(X_27,identity)) )],[refute_0_5873,refute_0_5874]) ).
cnf(refute_0_5876,plain,
multiply(X_27,commutator(X_27,commutator(X_154,X_27))) = X_27,
inference(resolve,[$cnf( $equal(multiply(X_27,identity),X_27) )],[refute_0_149,refute_0_5875]) ).
cnf(refute_0_5877,plain,
( multiply(X_27,commutator(X_27,commutator(X_154,X_27))) != X_27
| multiply(commutator(X_27,X_154),multiply(X_154,multiply(X_27,inverse(X_154)))) != multiply(X_27,commutator(X_27,commutator(X_154,X_27)))
| multiply(commutator(X_27,X_154),multiply(X_154,multiply(X_27,inverse(X_154)))) = X_27 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_27,X_154),multiply(X_154,multiply(X_27,inverse(X_154)))),multiply(X_27,commutator(X_27,commutator(X_154,X_27)))) ),[1],$fot(X_27)]]) ).
cnf(refute_0_5878,plain,
( multiply(commutator(X_27,X_154),multiply(X_154,multiply(X_27,inverse(X_154)))) != multiply(X_27,commutator(X_27,commutator(X_154,X_27)))
| multiply(commutator(X_27,X_154),multiply(X_154,multiply(X_27,inverse(X_154)))) = X_27 ),
inference(resolve,[$cnf( $equal(multiply(X_27,commutator(X_27,commutator(X_154,X_27))),X_27) )],[refute_0_5876,refute_0_5877]) ).
cnf(refute_0_5879,plain,
( multiply(inverse(commutator(X_154,X_27)),multiply(X_154,multiply(X_27,inverse(X_154)))) != multiply(X_27,commutator(X_27,commutator(X_154,X_27)))
| multiply(commutator(X_27,X_154),multiply(X_154,multiply(X_27,inverse(X_154)))) = X_27 ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_27,X_154),multiply(X_154,multiply(X_27,inverse(X_154)))),multiply(X_27,commutator(X_27,commutator(X_154,X_27)))) )],[refute_0_5868,refute_0_5878]) ).
cnf(refute_0_5880,plain,
multiply(commutator(X_27,X_154),multiply(X_154,multiply(X_27,inverse(X_154)))) = X_27,
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X_154,X_27)),multiply(X_154,multiply(X_27,inverse(X_154)))),multiply(X_27,commutator(X_27,commutator(X_154,X_27)))) )],[refute_0_5861,refute_0_5879]) ).
cnf(refute_0_5881,plain,
( multiply(commutator(X_27,X_154),multiply(X_154,multiply(X_27,inverse(X_154)))) != X_27
| multiply(inverse(multiply(X_154,multiply(X_27,inverse(X_154)))),X_235) != multiply(inverse(multiply(commutator(X_27,X_154),multiply(X_154,multiply(X_27,inverse(X_154))))),multiply(commutator(X_27,X_154),X_235))
| multiply(inverse(multiply(X_154,multiply(X_27,inverse(X_154)))),X_235) = multiply(inverse(X_27),multiply(commutator(X_27,X_154),X_235)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_154,multiply(X_27,inverse(X_154)))),X_235),multiply(inverse(multiply(commutator(X_27,X_154),multiply(X_154,multiply(X_27,inverse(X_154))))),multiply(commutator(X_27,X_154),X_235))) ),[1,0,0],$fot(X_27)]]) ).
cnf(refute_0_5882,plain,
( multiply(inverse(multiply(X_154,multiply(X_27,inverse(X_154)))),X_235) != multiply(inverse(multiply(commutator(X_27,X_154),multiply(X_154,multiply(X_27,inverse(X_154))))),multiply(commutator(X_27,X_154),X_235))
| multiply(inverse(multiply(X_154,multiply(X_27,inverse(X_154)))),X_235) = multiply(inverse(X_27),multiply(commutator(X_27,X_154),X_235)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_27,X_154),multiply(X_154,multiply(X_27,inverse(X_154)))),X_27) )],[refute_0_5880,refute_0_5881]) ).
cnf(refute_0_5883,plain,
multiply(inverse(multiply(X_154,multiply(X_27,inverse(X_154)))),X_235) = multiply(inverse(X_27),multiply(commutator(X_27,X_154),X_235)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_154,multiply(X_27,inverse(X_154)))),X_235),multiply(inverse(multiply(commutator(X_27,X_154),multiply(X_154,multiply(X_27,inverse(X_154))))),multiply(commutator(X_27,X_154),X_235))) )],[refute_0_5854,refute_0_5882]) ).
cnf(refute_0_5884,plain,
multiply(multiply(X_154,inverse(multiply(X_154,X_27))),X_235) = multiply(X_154,multiply(inverse(multiply(X_154,X_27)),X_235)),
inference(subst,[],[associativity:[bind(X,$fot(X_154)),bind(Y,$fot(inverse(multiply(X_154,X_27)))),bind(Z,$fot(X_235))]]) ).
cnf(refute_0_5885,plain,
inverse(multiply(X_154,multiply(X_27,inverse(X_154)))) = multiply(X_154,inverse(multiply(X_154,X_27))),
inference(subst,[],[refute_0_860:[bind(X_58,$fot(X_154)),bind(X_89,$fot(X_154)),bind(X_90,$fot(X_27))]]) ).
cnf(refute_0_5886,plain,
multiply(inverse(multiply(X_154,multiply(X_27,inverse(X_154)))),X_235) = multiply(inverse(multiply(X_154,multiply(X_27,inverse(X_154)))),X_235),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_154,multiply(X_27,inverse(X_154)))),X_235))]]) ).
cnf(refute_0_5887,plain,
( multiply(inverse(multiply(X_154,multiply(X_27,inverse(X_154)))),X_235) != multiply(inverse(multiply(X_154,multiply(X_27,inverse(X_154)))),X_235)
| inverse(multiply(X_154,multiply(X_27,inverse(X_154)))) != multiply(X_154,inverse(multiply(X_154,X_27)))
| multiply(inverse(multiply(X_154,multiply(X_27,inverse(X_154)))),X_235) = multiply(multiply(X_154,inverse(multiply(X_154,X_27))),X_235) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_154,multiply(X_27,inverse(X_154)))),X_235),multiply(inverse(multiply(X_154,multiply(X_27,inverse(X_154)))),X_235)) ),[1,0],$fot(multiply(X_154,inverse(multiply(X_154,X_27))))]]) ).
cnf(refute_0_5888,plain,
( inverse(multiply(X_154,multiply(X_27,inverse(X_154)))) != multiply(X_154,inverse(multiply(X_154,X_27)))
| multiply(inverse(multiply(X_154,multiply(X_27,inverse(X_154)))),X_235) = multiply(multiply(X_154,inverse(multiply(X_154,X_27))),X_235) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_154,multiply(X_27,inverse(X_154)))),X_235),multiply(inverse(multiply(X_154,multiply(X_27,inverse(X_154)))),X_235)) )],[refute_0_5886,refute_0_5887]) ).
cnf(refute_0_5889,plain,
multiply(inverse(multiply(X_154,multiply(X_27,inverse(X_154)))),X_235) = multiply(multiply(X_154,inverse(multiply(X_154,X_27))),X_235),
inference(resolve,[$cnf( $equal(inverse(multiply(X_154,multiply(X_27,inverse(X_154)))),multiply(X_154,inverse(multiply(X_154,X_27)))) )],[refute_0_5885,refute_0_5888]) ).
cnf(refute_0_5890,plain,
( multiply(multiply(X_154,inverse(multiply(X_154,X_27))),X_235) != multiply(X_154,multiply(inverse(multiply(X_154,X_27)),X_235))
| multiply(inverse(multiply(X_154,multiply(X_27,inverse(X_154)))),X_235) != multiply(multiply(X_154,inverse(multiply(X_154,X_27))),X_235)
| multiply(inverse(multiply(X_154,multiply(X_27,inverse(X_154)))),X_235) = multiply(X_154,multiply(inverse(multiply(X_154,X_27)),X_235)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_154,multiply(X_27,inverse(X_154)))),X_235))),bind(Y0,$fot(multiply(multiply(X_154,inverse(multiply(X_154,X_27))),X_235))),bind(Z0,$fot(multiply(X_154,multiply(inverse(multiply(X_154,X_27)),X_235))))]]) ).
cnf(refute_0_5891,plain,
( multiply(multiply(X_154,inverse(multiply(X_154,X_27))),X_235) != multiply(X_154,multiply(inverse(multiply(X_154,X_27)),X_235))
| multiply(inverse(multiply(X_154,multiply(X_27,inverse(X_154)))),X_235) = multiply(X_154,multiply(inverse(multiply(X_154,X_27)),X_235)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_154,multiply(X_27,inverse(X_154)))),X_235),multiply(multiply(X_154,inverse(multiply(X_154,X_27))),X_235)) )],[refute_0_5889,refute_0_5890]) ).
cnf(refute_0_5892,plain,
multiply(inverse(multiply(X_154,multiply(X_27,inverse(X_154)))),X_235) = multiply(X_154,multiply(inverse(multiply(X_154,X_27)),X_235)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_154,inverse(multiply(X_154,X_27))),X_235),multiply(X_154,multiply(inverse(multiply(X_154,X_27)),X_235))) )],[refute_0_5884,refute_0_5891]) ).
cnf(refute_0_5893,plain,
( multiply(inverse(multiply(X_154,multiply(X_27,inverse(X_154)))),X_235) != multiply(X_154,multiply(inverse(multiply(X_154,X_27)),X_235))
| multiply(inverse(multiply(X_154,multiply(X_27,inverse(X_154)))),X_235) != multiply(inverse(X_27),multiply(commutator(X_27,X_154),X_235))
| multiply(X_154,multiply(inverse(multiply(X_154,X_27)),X_235)) = multiply(inverse(X_27),multiply(commutator(X_27,X_154),X_235)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_154,multiply(X_27,inverse(X_154)))),X_235),multiply(inverse(X_27),multiply(commutator(X_27,X_154),X_235))) ),[0],$fot(multiply(X_154,multiply(inverse(multiply(X_154,X_27)),X_235)))]]) ).
cnf(refute_0_5894,plain,
( multiply(inverse(multiply(X_154,multiply(X_27,inverse(X_154)))),X_235) != multiply(inverse(X_27),multiply(commutator(X_27,X_154),X_235))
| multiply(X_154,multiply(inverse(multiply(X_154,X_27)),X_235)) = multiply(inverse(X_27),multiply(commutator(X_27,X_154),X_235)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_154,multiply(X_27,inverse(X_154)))),X_235),multiply(X_154,multiply(inverse(multiply(X_154,X_27)),X_235))) )],[refute_0_5892,refute_0_5893]) ).
cnf(refute_0_5895,plain,
multiply(X_154,multiply(inverse(multiply(X_154,X_27)),X_235)) = multiply(inverse(X_27),multiply(commutator(X_27,X_154),X_235)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_154,multiply(X_27,inverse(X_154)))),X_235),multiply(inverse(X_27),multiply(commutator(X_27,X_154),X_235))) )],[refute_0_5883,refute_0_5894]) ).
cnf(refute_0_5896,plain,
( multiply(X_154,multiply(inverse(multiply(X_154,X_27)),X_235)) != multiply(inverse(X_27),multiply(commutator(X_27,X_154),X_235))
| multiply(inverse(X_27),multiply(commutator(X_27,X_154),X_235)) = multiply(X_154,multiply(inverse(multiply(X_154,X_27)),X_235)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(X_154,multiply(inverse(multiply(X_154,X_27)),X_235)))),bind(Y0,$fot(multiply(inverse(X_27),multiply(commutator(X_27,X_154),X_235))))]]) ).
cnf(refute_0_5897,plain,
multiply(inverse(X_27),multiply(commutator(X_27,X_154),X_235)) = multiply(X_154,multiply(inverse(multiply(X_154,X_27)),X_235)),
inference(resolve,[$cnf( $equal(multiply(X_154,multiply(inverse(multiply(X_154,X_27)),X_235)),multiply(inverse(X_27),multiply(commutator(X_27,X_154),X_235))) )],[refute_0_5895,refute_0_5896]) ).
cnf(refute_0_5898,plain,
multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257)) = multiply(X_256,multiply(inverse(multiply(X_256,multiply(X_256,X_257))),X_257)),
inference(subst,[],[refute_0_5897:[bind(X_154,$fot(X_256)),bind(X_235,$fot(X_257)),bind(X_27,$fot(multiply(X_256,X_257)))]]) ).
cnf(refute_0_5899,plain,
commutator(multiply(X_256,commutator(X_256,X_257)),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257))) = commutator(multiply(X_256,commutator(X_256,X_257)),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257))),
introduced(tautology,[refl,[$fot(commutator(multiply(X_256,commutator(X_256,X_257)),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257))))]]) ).
cnf(refute_0_5900,plain,
( multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257)) != multiply(X_256,multiply(inverse(multiply(X_256,multiply(X_256,X_257))),X_257))
| commutator(multiply(X_256,commutator(X_256,X_257)),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257))) != commutator(multiply(X_256,commutator(X_256,X_257)),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257)))
| commutator(multiply(X_256,commutator(X_256,X_257)),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257))) = commutator(multiply(X_256,commutator(X_256,X_257)),multiply(X_256,multiply(inverse(multiply(X_256,multiply(X_256,X_257))),X_257))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_256,commutator(X_256,X_257)),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257))),commutator(multiply(X_256,commutator(X_256,X_257)),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257)))) ),[1,1],$fot(multiply(X_256,multiply(inverse(multiply(X_256,multiply(X_256,X_257))),X_257)))]]) ).
cnf(refute_0_5901,plain,
( multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257)) != multiply(X_256,multiply(inverse(multiply(X_256,multiply(X_256,X_257))),X_257))
| commutator(multiply(X_256,commutator(X_256,X_257)),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257))) = commutator(multiply(X_256,commutator(X_256,X_257)),multiply(X_256,multiply(inverse(multiply(X_256,multiply(X_256,X_257))),X_257))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_256,commutator(X_256,X_257)),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257))),commutator(multiply(X_256,commutator(X_256,X_257)),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257)))) )],[refute_0_5899,refute_0_5900]) ).
cnf(refute_0_5902,plain,
commutator(multiply(X_256,commutator(X_256,X_257)),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257))) = commutator(multiply(X_256,commutator(X_256,X_257)),multiply(X_256,multiply(inverse(multiply(X_256,multiply(X_256,X_257))),X_257))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257)),multiply(X_256,multiply(inverse(multiply(X_256,multiply(X_256,X_257))),X_257))) )],[refute_0_5898,refute_0_5901]) ).
cnf(refute_0_5903,plain,
commutator(X_256,multiply(X_256,X_257)) = commutator(X_256,X_257),
inference(subst,[],[refute_0_455:[bind(X_10,$fot(X_256)),bind(X_11,$fot(X_257))]]) ).
cnf(refute_0_5904,plain,
multiply(X_256,commutator(X_256,multiply(X_256,X_257))) = multiply(X_256,commutator(X_256,multiply(X_256,X_257))),
introduced(tautology,[refl,[$fot(multiply(X_256,commutator(X_256,multiply(X_256,X_257))))]]) ).
cnf(refute_0_5905,plain,
( multiply(X_256,commutator(X_256,multiply(X_256,X_257))) != multiply(X_256,commutator(X_256,multiply(X_256,X_257)))
| commutator(X_256,multiply(X_256,X_257)) != commutator(X_256,X_257)
| multiply(X_256,commutator(X_256,multiply(X_256,X_257))) = multiply(X_256,commutator(X_256,X_257)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_256,commutator(X_256,multiply(X_256,X_257))),multiply(X_256,commutator(X_256,multiply(X_256,X_257)))) ),[1,1],$fot(commutator(X_256,X_257))]]) ).
cnf(refute_0_5906,plain,
( commutator(X_256,multiply(X_256,X_257)) != commutator(X_256,X_257)
| multiply(X_256,commutator(X_256,multiply(X_256,X_257))) = multiply(X_256,commutator(X_256,X_257)) ),
inference(resolve,[$cnf( $equal(multiply(X_256,commutator(X_256,multiply(X_256,X_257))),multiply(X_256,commutator(X_256,multiply(X_256,X_257)))) )],[refute_0_5904,refute_0_5905]) ).
cnf(refute_0_5907,plain,
multiply(X_256,commutator(X_256,multiply(X_256,X_257))) = multiply(X_256,commutator(X_256,X_257)),
inference(resolve,[$cnf( $equal(commutator(X_256,multiply(X_256,X_257)),commutator(X_256,X_257)) )],[refute_0_5903,refute_0_5906]) ).
cnf(refute_0_5908,plain,
commutator(multiply(X_256,commutator(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257))) = commutator(multiply(X_256,commutator(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257))),
introduced(tautology,[refl,[$fot(commutator(multiply(X_256,commutator(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257))))]]) ).
cnf(refute_0_5909,plain,
( multiply(X_256,commutator(X_256,multiply(X_256,X_257))) != multiply(X_256,commutator(X_256,X_257))
| commutator(multiply(X_256,commutator(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257))) != commutator(multiply(X_256,commutator(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257)))
| commutator(multiply(X_256,commutator(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257))) = commutator(multiply(X_256,commutator(X_256,X_257)),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_256,commutator(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257))),commutator(multiply(X_256,commutator(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257)))) ),[1,0],$fot(multiply(X_256,commutator(X_256,X_257)))]]) ).
cnf(refute_0_5910,plain,
( multiply(X_256,commutator(X_256,multiply(X_256,X_257))) != multiply(X_256,commutator(X_256,X_257))
| commutator(multiply(X_256,commutator(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257))) = commutator(multiply(X_256,commutator(X_256,X_257)),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_256,commutator(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257))),commutator(multiply(X_256,commutator(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257)))) )],[refute_0_5908,refute_0_5909]) ).
cnf(refute_0_5911,plain,
commutator(multiply(X_256,commutator(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257))) = commutator(multiply(X_256,commutator(X_256,X_257)),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257))),
inference(resolve,[$cnf( $equal(multiply(X_256,commutator(X_256,multiply(X_256,X_257))),multiply(X_256,commutator(X_256,X_257))) )],[refute_0_5907,refute_0_5910]) ).
cnf(refute_0_5912,plain,
( commutator(multiply(X_256,commutator(X_256,X_257)),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257))) != commutator(multiply(X_256,commutator(X_256,X_257)),multiply(X_256,multiply(inverse(multiply(X_256,multiply(X_256,X_257))),X_257)))
| commutator(multiply(X_256,commutator(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257))) != commutator(multiply(X_256,commutator(X_256,X_257)),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257)))
| commutator(multiply(X_256,commutator(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257))) = commutator(multiply(X_256,commutator(X_256,X_257)),multiply(X_256,multiply(inverse(multiply(X_256,multiply(X_256,X_257))),X_257))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_256,commutator(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257))))),bind(Y0,$fot(commutator(multiply(X_256,commutator(X_256,X_257)),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257))))),bind(Z0,$fot(commutator(multiply(X_256,commutator(X_256,X_257)),multiply(X_256,multiply(inverse(multiply(X_256,multiply(X_256,X_257))),X_257)))))]]) ).
cnf(refute_0_5913,plain,
( commutator(multiply(X_256,commutator(X_256,X_257)),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257))) != commutator(multiply(X_256,commutator(X_256,X_257)),multiply(X_256,multiply(inverse(multiply(X_256,multiply(X_256,X_257))),X_257)))
| commutator(multiply(X_256,commutator(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257))) = commutator(multiply(X_256,commutator(X_256,X_257)),multiply(X_256,multiply(inverse(multiply(X_256,multiply(X_256,X_257))),X_257))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_256,commutator(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257))),commutator(multiply(X_256,commutator(X_256,X_257)),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257)))) )],[refute_0_5911,refute_0_5912]) ).
cnf(refute_0_5914,plain,
commutator(multiply(X_256,commutator(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257))) = commutator(multiply(X_256,commutator(X_256,X_257)),multiply(X_256,multiply(inverse(multiply(X_256,multiply(X_256,X_257))),X_257))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_256,commutator(X_256,X_257)),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257))),commutator(multiply(X_256,commutator(X_256,X_257)),multiply(X_256,multiply(inverse(multiply(X_256,multiply(X_256,X_257))),X_257)))) )],[refute_0_5902,refute_0_5913]) ).
cnf(refute_0_5915,plain,
commutator(X_244,multiply(inverse(multiply(X_128,X_245)),X_245)) = multiply(X_244,multiply(inverse(multiply(X_128,X_245)),multiply(X_245,inverse(multiply(inverse(multiply(X_128,X_245)),multiply(X_245,X_244)))))),
inference(subst,[],[refute_0_3260:[bind(X_10,$fot(X_244)),bind(X_161,$fot(X_245)),bind(X_162,$fot(inverse(multiply(X_128,X_245))))]]) ).
cnf(refute_0_5916,plain,
inverse(multiply(X_128,commutator(X_128,X_245))) = multiply(inverse(multiply(X_128,X_245)),X_245),
inference(subst,[],[refute_0_814:[bind(X_127,$fot(X_245))]]) ).
cnf(refute_0_5917,plain,
( inverse(multiply(X_128,commutator(X_128,X_245))) != multiply(inverse(multiply(X_128,X_245)),X_245)
| multiply(inverse(multiply(X_128,X_245)),X_245) = inverse(multiply(X_128,commutator(X_128,X_245))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(inverse(multiply(X_128,commutator(X_128,X_245))))),bind(Y0,$fot(multiply(inverse(multiply(X_128,X_245)),X_245)))]]) ).
cnf(refute_0_5918,plain,
multiply(inverse(multiply(X_128,X_245)),X_245) = inverse(multiply(X_128,commutator(X_128,X_245))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_128,commutator(X_128,X_245))),multiply(inverse(multiply(X_128,X_245)),X_245)) )],[refute_0_5916,refute_0_5917]) ).
cnf(refute_0_5919,plain,
( multiply(inverse(multiply(X_128,X_245)),X_245) != inverse(multiply(X_128,commutator(X_128,X_245)))
| commutator(X_244,multiply(inverse(multiply(X_128,X_245)),X_245)) != multiply(X_244,multiply(inverse(multiply(X_128,X_245)),multiply(X_245,inverse(multiply(inverse(multiply(X_128,X_245)),multiply(X_245,X_244))))))
| commutator(X_244,inverse(multiply(X_128,commutator(X_128,X_245)))) = multiply(X_244,multiply(inverse(multiply(X_128,X_245)),multiply(X_245,inverse(multiply(inverse(multiply(X_128,X_245)),multiply(X_245,X_244)))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_244,multiply(inverse(multiply(X_128,X_245)),X_245)),multiply(X_244,multiply(inverse(multiply(X_128,X_245)),multiply(X_245,inverse(multiply(inverse(multiply(X_128,X_245)),multiply(X_245,X_244))))))) ),[0,1],$fot(inverse(multiply(X_128,commutator(X_128,X_245))))]]) ).
cnf(refute_0_5920,plain,
( commutator(X_244,multiply(inverse(multiply(X_128,X_245)),X_245)) != multiply(X_244,multiply(inverse(multiply(X_128,X_245)),multiply(X_245,inverse(multiply(inverse(multiply(X_128,X_245)),multiply(X_245,X_244))))))
| commutator(X_244,inverse(multiply(X_128,commutator(X_128,X_245)))) = multiply(X_244,multiply(inverse(multiply(X_128,X_245)),multiply(X_245,inverse(multiply(inverse(multiply(X_128,X_245)),multiply(X_245,X_244)))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_128,X_245)),X_245),inverse(multiply(X_128,commutator(X_128,X_245)))) )],[refute_0_5918,refute_0_5919]) ).
cnf(refute_0_5921,plain,
commutator(X_244,inverse(multiply(X_128,commutator(X_128,X_245)))) = multiply(X_244,multiply(inverse(multiply(X_128,X_245)),multiply(X_245,inverse(multiply(inverse(multiply(X_128,X_245)),multiply(X_245,X_244)))))),
inference(resolve,[$cnf( $equal(commutator(X_244,multiply(inverse(multiply(X_128,X_245)),X_245)),multiply(X_244,multiply(inverse(multiply(X_128,X_245)),multiply(X_245,inverse(multiply(inverse(multiply(X_128,X_245)),multiply(X_245,X_244))))))) )],[refute_0_5915,refute_0_5920]) ).
cnf(refute_0_5922,plain,
commutator(X_244,inverse(multiply(X_128,commutator(X_128,X_245)))) = commutator(multiply(X_128,commutator(X_128,X_245)),X_244),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(multiply(X_128,commutator(X_128,X_245)))),bind(X_110,$fot(X_244))]]) ).
cnf(refute_0_5923,plain,
( commutator(X_244,inverse(multiply(X_128,commutator(X_128,X_245)))) != multiply(X_244,multiply(inverse(multiply(X_128,X_245)),multiply(X_245,inverse(multiply(inverse(multiply(X_128,X_245)),multiply(X_245,X_244))))))
| commutator(X_244,inverse(multiply(X_128,commutator(X_128,X_245)))) != commutator(multiply(X_128,commutator(X_128,X_245)),X_244)
| commutator(multiply(X_128,commutator(X_128,X_245)),X_244) = multiply(X_244,multiply(inverse(multiply(X_128,X_245)),multiply(X_245,inverse(multiply(inverse(multiply(X_128,X_245)),multiply(X_245,X_244)))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_244,inverse(multiply(X_128,commutator(X_128,X_245)))),multiply(X_244,multiply(inverse(multiply(X_128,X_245)),multiply(X_245,inverse(multiply(inverse(multiply(X_128,X_245)),multiply(X_245,X_244))))))) ),[0],$fot(commutator(multiply(X_128,commutator(X_128,X_245)),X_244))]]) ).
cnf(refute_0_5924,plain,
( commutator(X_244,inverse(multiply(X_128,commutator(X_128,X_245)))) != multiply(X_244,multiply(inverse(multiply(X_128,X_245)),multiply(X_245,inverse(multiply(inverse(multiply(X_128,X_245)),multiply(X_245,X_244))))))
| commutator(multiply(X_128,commutator(X_128,X_245)),X_244) = multiply(X_244,multiply(inverse(multiply(X_128,X_245)),multiply(X_245,inverse(multiply(inverse(multiply(X_128,X_245)),multiply(X_245,X_244)))))) ),
inference(resolve,[$cnf( $equal(commutator(X_244,inverse(multiply(X_128,commutator(X_128,X_245)))),commutator(multiply(X_128,commutator(X_128,X_245)),X_244)) )],[refute_0_5922,refute_0_5923]) ).
cnf(refute_0_5925,plain,
multiply(X_244,multiply(inverse(multiply(X_128,X_245)),multiply(X_245,inverse(multiply(inverse(multiply(X_128,X_245)),multiply(X_245,X_244)))))) = commutator(X_244,multiply(inverse(multiply(X_128,X_245)),X_245)),
inference(subst,[],[refute_0_5502:[bind(X_10,$fot(X_244)),bind(X_161,$fot(X_245)),bind(X_162,$fot(inverse(multiply(X_128,X_245))))]]) ).
cnf(refute_0_5926,plain,
( multiply(X_244,multiply(inverse(multiply(X_128,X_245)),multiply(X_245,inverse(multiply(inverse(multiply(X_128,X_245)),multiply(X_245,X_244)))))) != commutator(X_244,multiply(inverse(multiply(X_128,X_245)),X_245))
| commutator(multiply(X_128,commutator(X_128,X_245)),X_244) != multiply(X_244,multiply(inverse(multiply(X_128,X_245)),multiply(X_245,inverse(multiply(inverse(multiply(X_128,X_245)),multiply(X_245,X_244))))))
| commutator(multiply(X_128,commutator(X_128,X_245)),X_244) = commutator(X_244,multiply(inverse(multiply(X_128,X_245)),X_245)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_128,commutator(X_128,X_245)),X_244),multiply(X_244,multiply(inverse(multiply(X_128,X_245)),multiply(X_245,inverse(multiply(inverse(multiply(X_128,X_245)),multiply(X_245,X_244))))))) ),[1],$fot(commutator(X_244,multiply(inverse(multiply(X_128,X_245)),X_245)))]]) ).
cnf(refute_0_5927,plain,
( commutator(multiply(X_128,commutator(X_128,X_245)),X_244) != multiply(X_244,multiply(inverse(multiply(X_128,X_245)),multiply(X_245,inverse(multiply(inverse(multiply(X_128,X_245)),multiply(X_245,X_244))))))
| commutator(multiply(X_128,commutator(X_128,X_245)),X_244) = commutator(X_244,multiply(inverse(multiply(X_128,X_245)),X_245)) ),
inference(resolve,[$cnf( $equal(multiply(X_244,multiply(inverse(multiply(X_128,X_245)),multiply(X_245,inverse(multiply(inverse(multiply(X_128,X_245)),multiply(X_245,X_244)))))),commutator(X_244,multiply(inverse(multiply(X_128,X_245)),X_245))) )],[refute_0_5925,refute_0_5926]) ).
cnf(refute_0_5928,plain,
( commutator(X_244,inverse(multiply(X_128,commutator(X_128,X_245)))) != multiply(X_244,multiply(inverse(multiply(X_128,X_245)),multiply(X_245,inverse(multiply(inverse(multiply(X_128,X_245)),multiply(X_245,X_244))))))
| commutator(multiply(X_128,commutator(X_128,X_245)),X_244) = commutator(X_244,multiply(inverse(multiply(X_128,X_245)),X_245)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_128,commutator(X_128,X_245)),X_244),multiply(X_244,multiply(inverse(multiply(X_128,X_245)),multiply(X_245,inverse(multiply(inverse(multiply(X_128,X_245)),multiply(X_245,X_244))))))) )],[refute_0_5924,refute_0_5927]) ).
cnf(refute_0_5929,plain,
commutator(multiply(X_128,commutator(X_128,X_245)),X_244) = commutator(X_244,multiply(inverse(multiply(X_128,X_245)),X_245)),
inference(resolve,[$cnf( $equal(commutator(X_244,inverse(multiply(X_128,commutator(X_128,X_245)))),multiply(X_244,multiply(inverse(multiply(X_128,X_245)),multiply(X_245,inverse(multiply(inverse(multiply(X_128,X_245)),multiply(X_245,X_244))))))) )],[refute_0_5921,refute_0_5928]) ).
cnf(refute_0_5930,plain,
( commutator(multiply(X_128,commutator(X_128,X_245)),X_244) != commutator(X_244,multiply(inverse(multiply(X_128,X_245)),X_245))
| commutator(X_244,multiply(inverse(multiply(X_128,X_245)),X_245)) = commutator(multiply(X_128,commutator(X_128,X_245)),X_244) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(multiply(X_128,commutator(X_128,X_245)),X_244))),bind(Y0,$fot(commutator(X_244,multiply(inverse(multiply(X_128,X_245)),X_245))))]]) ).
cnf(refute_0_5931,plain,
commutator(X_244,multiply(inverse(multiply(X_128,X_245)),X_245)) = commutator(multiply(X_128,commutator(X_128,X_245)),X_244),
inference(resolve,[$cnf( $equal(commutator(multiply(X_128,commutator(X_128,X_245)),X_244),commutator(X_244,multiply(inverse(multiply(X_128,X_245)),X_245))) )],[refute_0_5929,refute_0_5930]) ).
cnf(refute_0_5932,plain,
commutator(multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257)),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(X_256,X_257))) = commutator(multiply(X_256,commutator(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257))),
inference(subst,[],[refute_0_5931:[bind(X_128,$fot(X_256)),bind(X_244,$fot(multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257)))),bind(X_245,$fot(multiply(X_256,X_257)))]]) ).
cnf(refute_0_5933,plain,
commutator(multiply(inverse(X_245),Z),multiply(X_246,X_245)) = multiply(multiply(inverse(X_245),Z),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(X_245,multiply(inverse(X_245),Z))))))),
inference(subst,[],[refute_0_3260:[bind(X_10,$fot(multiply(inverse(X_245),Z))),bind(X_161,$fot(X_245)),bind(X_162,$fot(X_246))]]) ).
cnf(refute_0_5934,plain,
Z = multiply(X_245,multiply(inverse(X_245),Z)),
inference(subst,[],[refute_0_141:[bind(X,$fot(X_245))]]) ).
cnf(refute_0_5935,plain,
( Z != multiply(X_245,multiply(inverse(X_245),Z))
| multiply(X_245,multiply(inverse(X_245),Z)) = Z ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(Z)),bind(Y0,$fot(multiply(X_245,multiply(inverse(X_245),Z))))]]) ).
cnf(refute_0_5936,plain,
multiply(X_245,multiply(inverse(X_245),Z)) = Z,
inference(resolve,[$cnf( $equal(Z,multiply(X_245,multiply(inverse(X_245),Z))) )],[refute_0_5934,refute_0_5935]) ).
cnf(refute_0_5937,plain,
( multiply(X_245,multiply(inverse(X_245),Z)) != Z
| commutator(multiply(inverse(X_245),Z),multiply(X_246,X_245)) != multiply(multiply(inverse(X_245),Z),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(X_245,multiply(inverse(X_245),Z)))))))
| commutator(multiply(inverse(X_245),Z),multiply(X_246,X_245)) = multiply(multiply(inverse(X_245),Z),multiply(X_246,multiply(X_245,inverse(multiply(X_246,Z))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(X_245),Z),multiply(X_246,X_245)),multiply(multiply(inverse(X_245),Z),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(X_245,multiply(inverse(X_245),Z)))))))) ),[1,1,1,1,0,1],$fot(Z)]]) ).
cnf(refute_0_5938,plain,
( commutator(multiply(inverse(X_245),Z),multiply(X_246,X_245)) != multiply(multiply(inverse(X_245),Z),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(X_245,multiply(inverse(X_245),Z)))))))
| commutator(multiply(inverse(X_245),Z),multiply(X_246,X_245)) = multiply(multiply(inverse(X_245),Z),multiply(X_246,multiply(X_245,inverse(multiply(X_246,Z))))) ),
inference(resolve,[$cnf( $equal(multiply(X_245,multiply(inverse(X_245),Z)),Z) )],[refute_0_5936,refute_0_5937]) ).
cnf(refute_0_5939,plain,
commutator(multiply(inverse(X_245),Z),multiply(X_246,X_245)) = multiply(multiply(inverse(X_245),Z),multiply(X_246,multiply(X_245,inverse(multiply(X_246,Z))))),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_245),Z),multiply(X_246,X_245)),multiply(multiply(inverse(X_245),Z),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(X_245,multiply(inverse(X_245),Z)))))))) )],[refute_0_5933,refute_0_5938]) ).
cnf(refute_0_5940,plain,
commutator(multiply(X_9,X_10),inverse(multiply(X_9,X_237))) = multiply(inverse(multiply(inverse(multiply(X_9,X_237)),multiply(X_9,X_10))),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237))))),
inference(subst,[],[refute_0_713:[bind(Y,$fot(inverse(multiply(X_9,X_237))))]]) ).
cnf(refute_0_5941,plain,
multiply(inverse(X_237),X_10) = multiply(inverse(multiply(X_9,X_237)),multiply(X_9,X_10)),
inference(subst,[],[refute_0_677:[bind(Z,$fot(X_10)),bind(X_50,$fot(X_9)),bind(X_51,$fot(X_237))]]) ).
cnf(refute_0_5942,plain,
( multiply(inverse(X_237),X_10) != multiply(inverse(multiply(X_9,X_237)),multiply(X_9,X_10))
| multiply(inverse(multiply(X_9,X_237)),multiply(X_9,X_10)) = multiply(inverse(X_237),X_10) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(inverse(X_237),X_10))),bind(Y0,$fot(multiply(inverse(multiply(X_9,X_237)),multiply(X_9,X_10))))]]) ).
cnf(refute_0_5943,plain,
multiply(inverse(multiply(X_9,X_237)),multiply(X_9,X_10)) = multiply(inverse(X_237),X_10),
inference(resolve,[$cnf( $equal(multiply(inverse(X_237),X_10),multiply(inverse(multiply(X_9,X_237)),multiply(X_9,X_10))) )],[refute_0_5941,refute_0_5942]) ).
cnf(refute_0_5944,plain,
( multiply(inverse(multiply(X_9,X_237)),multiply(X_9,X_10)) != multiply(inverse(X_237),X_10)
| commutator(multiply(X_9,X_10),inverse(multiply(X_9,X_237))) != multiply(inverse(multiply(inverse(multiply(X_9,X_237)),multiply(X_9,X_10))),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237)))))
| commutator(multiply(X_9,X_10),inverse(multiply(X_9,X_237))) = multiply(inverse(multiply(inverse(X_237),X_10)),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_9,X_10),inverse(multiply(X_9,X_237))),multiply(inverse(multiply(inverse(multiply(X_9,X_237)),multiply(X_9,X_10))),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237)))))) ),[1,0,0],$fot(multiply(inverse(X_237),X_10))]]) ).
cnf(refute_0_5945,plain,
( commutator(multiply(X_9,X_10),inverse(multiply(X_9,X_237))) != multiply(inverse(multiply(inverse(multiply(X_9,X_237)),multiply(X_9,X_10))),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237)))))
| commutator(multiply(X_9,X_10),inverse(multiply(X_9,X_237))) = multiply(inverse(multiply(inverse(X_237),X_10)),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_9,X_237)),multiply(X_9,X_10)),multiply(inverse(X_237),X_10)) )],[refute_0_5943,refute_0_5944]) ).
cnf(refute_0_5946,plain,
commutator(multiply(X_9,X_10),inverse(multiply(X_9,X_237))) = multiply(inverse(multiply(inverse(X_237),X_10)),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237))))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_9,X_10),inverse(multiply(X_9,X_237))),multiply(inverse(multiply(inverse(multiply(X_9,X_237)),multiply(X_9,X_10))),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237)))))) )],[refute_0_5940,refute_0_5945]) ).
cnf(refute_0_5947,plain,
commutator(multiply(X_9,X_10),inverse(multiply(X_9,X_237))) = commutator(multiply(X_9,X_237),multiply(X_9,X_10)),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(multiply(X_9,X_237))),bind(X_110,$fot(multiply(X_9,X_10)))]]) ).
cnf(refute_0_5948,plain,
( commutator(multiply(X_9,X_10),inverse(multiply(X_9,X_237))) != multiply(inverse(multiply(inverse(X_237),X_10)),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237)))))
| commutator(multiply(X_9,X_10),inverse(multiply(X_9,X_237))) != commutator(multiply(X_9,X_237),multiply(X_9,X_10))
| commutator(multiply(X_9,X_237),multiply(X_9,X_10)) = multiply(inverse(multiply(inverse(X_237),X_10)),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_9,X_10),inverse(multiply(X_9,X_237))),multiply(inverse(multiply(inverse(X_237),X_10)),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237)))))) ),[0],$fot(commutator(multiply(X_9,X_237),multiply(X_9,X_10)))]]) ).
cnf(refute_0_5949,plain,
( commutator(multiply(X_9,X_10),inverse(multiply(X_9,X_237))) != multiply(inverse(multiply(inverse(X_237),X_10)),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237)))))
| commutator(multiply(X_9,X_237),multiply(X_9,X_10)) = multiply(inverse(multiply(inverse(X_237),X_10)),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237))))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_9,X_10),inverse(multiply(X_9,X_237))),commutator(multiply(X_9,X_237),multiply(X_9,X_10))) )],[refute_0_5947,refute_0_5948]) ).
cnf(refute_0_5950,plain,
multiply(multiply(inverse(X_10),X_237),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237))))) = multiply(inverse(X_10),multiply(X_237,multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237)))))),
inference(subst,[],[associativity:[bind(X,$fot(inverse(X_10))),bind(Y,$fot(X_237)),bind(Z,$fot(multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237))))))]]) ).
cnf(refute_0_5951,plain,
inverse(multiply(inverse(X_237),X_10)) = multiply(inverse(X_10),X_237),
inference(subst,[],[refute_0_294:[bind(Z,$fot(X_10)),bind(X_61,$fot(X_237))]]) ).
cnf(refute_0_5952,plain,
multiply(inverse(multiply(inverse(X_237),X_10)),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237))))) = multiply(inverse(multiply(inverse(X_237),X_10)),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237))))),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(inverse(X_237),X_10)),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237))))))]]) ).
cnf(refute_0_5953,plain,
( multiply(inverse(multiply(inverse(X_237),X_10)),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237))))) != multiply(inverse(multiply(inverse(X_237),X_10)),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237)))))
| inverse(multiply(inverse(X_237),X_10)) != multiply(inverse(X_10),X_237)
| multiply(inverse(multiply(inverse(X_237),X_10)),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237))))) = multiply(multiply(inverse(X_10),X_237),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_237),X_10)),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237))))),multiply(inverse(multiply(inverse(X_237),X_10)),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237)))))) ),[1,0],$fot(multiply(inverse(X_10),X_237))]]) ).
cnf(refute_0_5954,plain,
( inverse(multiply(inverse(X_237),X_10)) != multiply(inverse(X_10),X_237)
| multiply(inverse(multiply(inverse(X_237),X_10)),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237))))) = multiply(multiply(inverse(X_10),X_237),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_237),X_10)),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237))))),multiply(inverse(multiply(inverse(X_237),X_10)),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237)))))) )],[refute_0_5952,refute_0_5953]) ).
cnf(refute_0_5955,plain,
multiply(inverse(multiply(inverse(X_237),X_10)),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237))))) = multiply(multiply(inverse(X_10),X_237),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237))))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_237),X_10)),multiply(inverse(X_10),X_237)) )],[refute_0_5951,refute_0_5954]) ).
cnf(refute_0_5956,plain,
( multiply(multiply(inverse(X_10),X_237),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237))))) != multiply(inverse(X_10),multiply(X_237,multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237))))))
| multiply(inverse(multiply(inverse(X_237),X_10)),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237))))) != multiply(multiply(inverse(X_10),X_237),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237)))))
| multiply(inverse(multiply(inverse(X_237),X_10)),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237))))) = multiply(inverse(X_10),multiply(X_237,multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237)))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(inverse(X_237),X_10)),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237))))))),bind(Y0,$fot(multiply(multiply(inverse(X_10),X_237),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237))))))),bind(Z0,$fot(multiply(inverse(X_10),multiply(X_237,multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237))))))))]]) ).
cnf(refute_0_5957,plain,
( multiply(multiply(inverse(X_10),X_237),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237))))) != multiply(inverse(X_10),multiply(X_237,multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237))))))
| multiply(inverse(multiply(inverse(X_237),X_10)),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237))))) = multiply(inverse(X_10),multiply(X_237,multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237)))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_237),X_10)),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237))))),multiply(multiply(inverse(X_10),X_237),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237)))))) )],[refute_0_5955,refute_0_5956]) ).
cnf(refute_0_5958,plain,
multiply(inverse(multiply(inverse(X_237),X_10)),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237))))) = multiply(inverse(X_10),multiply(X_237,multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237)))))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_10),X_237),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237))))),multiply(inverse(X_10),multiply(X_237,multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237))))))) )],[refute_0_5950,refute_0_5957]) ).
cnf(refute_0_5959,plain,
( multiply(inverse(multiply(inverse(X_237),X_10)),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237))))) != multiply(inverse(X_10),multiply(X_237,multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237))))))
| commutator(multiply(X_9,X_237),multiply(X_9,X_10)) != multiply(inverse(multiply(inverse(X_237),X_10)),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237)))))
| commutator(multiply(X_9,X_237),multiply(X_9,X_10)) = multiply(inverse(X_10),multiply(X_237,multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237)))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_9,X_237),multiply(X_9,X_10)),multiply(inverse(multiply(inverse(X_237),X_10)),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237)))))) ),[1],$fot(multiply(inverse(X_10),multiply(X_237,multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237)))))))]]) ).
cnf(refute_0_5960,plain,
( commutator(multiply(X_9,X_237),multiply(X_9,X_10)) != multiply(inverse(multiply(inverse(X_237),X_10)),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237)))))
| commutator(multiply(X_9,X_237),multiply(X_9,X_10)) = multiply(inverse(X_10),multiply(X_237,multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237)))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_237),X_10)),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237))))),multiply(inverse(X_10),multiply(X_237,multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237))))))) )],[refute_0_5958,refute_0_5959]) ).
cnf(refute_0_5961,plain,
( commutator(multiply(X_9,X_10),inverse(multiply(X_9,X_237))) != multiply(inverse(multiply(inverse(X_237),X_10)),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237)))))
| commutator(multiply(X_9,X_237),multiply(X_9,X_10)) = multiply(inverse(X_10),multiply(X_237,multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237)))))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_9,X_237),multiply(X_9,X_10)),multiply(inverse(multiply(inverse(X_237),X_10)),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237)))))) )],[refute_0_5949,refute_0_5960]) ).
cnf(refute_0_5962,plain,
commutator(multiply(X_9,X_237),multiply(X_9,X_10)) = multiply(inverse(X_10),multiply(X_237,multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237)))))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_9,X_10),inverse(multiply(X_9,X_237))),multiply(inverse(multiply(inverse(X_237),X_10)),multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237)))))) )],[refute_0_5946,refute_0_5961]) ).
cnf(refute_0_5963,plain,
( commutator(multiply(X_9,X_237),multiply(X_9,X_10)) != multiply(inverse(X_10),multiply(X_237,multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237))))))
| multiply(inverse(X_10),multiply(X_237,multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237)))))) = commutator(multiply(X_9,X_237),multiply(X_9,X_10)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(multiply(X_9,X_237),multiply(X_9,X_10)))),bind(Y0,$fot(multiply(inverse(X_10),multiply(X_237,multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237))))))))]]) ).
cnf(refute_0_5964,plain,
multiply(inverse(X_10),multiply(X_237,multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237)))))) = commutator(multiply(X_9,X_237),multiply(X_9,X_10)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_9,X_237),multiply(X_9,X_10)),multiply(inverse(X_10),multiply(X_237,multiply(X_9,multiply(X_10,inverse(multiply(X_9,X_237))))))) )],[refute_0_5962,refute_0_5963]) ).
cnf(refute_0_5965,plain,
multiply(inverse(X_245),multiply(Z,multiply(X_246,multiply(X_245,inverse(multiply(X_246,Z)))))) = commutator(multiply(X_246,Z),multiply(X_246,X_245)),
inference(subst,[],[refute_0_5964:[bind(X_10,$fot(X_245)),bind(X_237,$fot(Z)),bind(X_9,$fot(X_246))]]) ).
cnf(refute_0_5966,plain,
multiply(multiply(inverse(X_245),Z),multiply(X_246,multiply(X_245,inverse(multiply(X_246,Z))))) = multiply(inverse(X_245),multiply(Z,multiply(X_246,multiply(X_245,inverse(multiply(X_246,Z)))))),
inference(subst,[],[associativity:[bind(X,$fot(inverse(X_245))),bind(Y,$fot(Z)),bind(Z,$fot(multiply(X_246,multiply(X_245,inverse(multiply(X_246,Z))))))]]) ).
cnf(refute_0_5967,plain,
( multiply(multiply(inverse(X_245),Z),multiply(X_246,multiply(X_245,inverse(multiply(X_246,Z))))) != multiply(inverse(X_245),multiply(Z,multiply(X_246,multiply(X_245,inverse(multiply(X_246,Z))))))
| multiply(inverse(X_245),multiply(Z,multiply(X_246,multiply(X_245,inverse(multiply(X_246,Z)))))) != commutator(multiply(X_246,Z),multiply(X_246,X_245))
| multiply(multiply(inverse(X_245),Z),multiply(X_246,multiply(X_245,inverse(multiply(X_246,Z))))) = commutator(multiply(X_246,Z),multiply(X_246,X_245)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(inverse(X_245),Z),multiply(X_246,multiply(X_245,inverse(multiply(X_246,Z))))))),bind(Y0,$fot(multiply(inverse(X_245),multiply(Z,multiply(X_246,multiply(X_245,inverse(multiply(X_246,Z)))))))),bind(Z0,$fot(commutator(multiply(X_246,Z),multiply(X_246,X_245))))]]) ).
cnf(refute_0_5968,plain,
( multiply(inverse(X_245),multiply(Z,multiply(X_246,multiply(X_245,inverse(multiply(X_246,Z)))))) != commutator(multiply(X_246,Z),multiply(X_246,X_245))
| multiply(multiply(inverse(X_245),Z),multiply(X_246,multiply(X_245,inverse(multiply(X_246,Z))))) = commutator(multiply(X_246,Z),multiply(X_246,X_245)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_245),Z),multiply(X_246,multiply(X_245,inverse(multiply(X_246,Z))))),multiply(inverse(X_245),multiply(Z,multiply(X_246,multiply(X_245,inverse(multiply(X_246,Z))))))) )],[refute_0_5966,refute_0_5967]) ).
cnf(refute_0_5969,plain,
multiply(multiply(inverse(X_245),Z),multiply(X_246,multiply(X_245,inverse(multiply(X_246,Z))))) = commutator(multiply(X_246,Z),multiply(X_246,X_245)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_245),multiply(Z,multiply(X_246,multiply(X_245,inverse(multiply(X_246,Z)))))),commutator(multiply(X_246,Z),multiply(X_246,X_245))) )],[refute_0_5965,refute_0_5968]) ).
cnf(refute_0_5970,plain,
( multiply(multiply(inverse(X_245),Z),multiply(X_246,multiply(X_245,inverse(multiply(X_246,Z))))) != commutator(multiply(X_246,Z),multiply(X_246,X_245))
| commutator(multiply(inverse(X_245),Z),multiply(X_246,X_245)) != multiply(multiply(inverse(X_245),Z),multiply(X_246,multiply(X_245,inverse(multiply(X_246,Z)))))
| commutator(multiply(inverse(X_245),Z),multiply(X_246,X_245)) = commutator(multiply(X_246,Z),multiply(X_246,X_245)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(X_245),Z),multiply(X_246,X_245)),multiply(multiply(inverse(X_245),Z),multiply(X_246,multiply(X_245,inverse(multiply(X_246,Z)))))) ),[1],$fot(commutator(multiply(X_246,Z),multiply(X_246,X_245)))]]) ).
cnf(refute_0_5971,plain,
( commutator(multiply(inverse(X_245),Z),multiply(X_246,X_245)) != multiply(multiply(inverse(X_245),Z),multiply(X_246,multiply(X_245,inverse(multiply(X_246,Z)))))
| commutator(multiply(inverse(X_245),Z),multiply(X_246,X_245)) = commutator(multiply(X_246,Z),multiply(X_246,X_245)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_245),Z),multiply(X_246,multiply(X_245,inverse(multiply(X_246,Z))))),commutator(multiply(X_246,Z),multiply(X_246,X_245))) )],[refute_0_5969,refute_0_5970]) ).
cnf(refute_0_5972,plain,
commutator(multiply(inverse(X_245),Z),multiply(X_246,X_245)) = commutator(multiply(X_246,Z),multiply(X_246,X_245)),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_245),Z),multiply(X_246,X_245)),multiply(multiply(inverse(X_245),Z),multiply(X_246,multiply(X_245,inverse(multiply(X_246,Z)))))) )],[refute_0_5939,refute_0_5971]) ).
cnf(refute_0_5973,plain,
( commutator(multiply(inverse(X_245),Z),multiply(X_246,X_245)) != commutator(multiply(X_246,Z),multiply(X_246,X_245))
| commutator(multiply(X_246,Z),multiply(X_246,X_245)) = commutator(multiply(inverse(X_245),Z),multiply(X_246,X_245)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(multiply(inverse(X_245),Z),multiply(X_246,X_245)))),bind(Y0,$fot(commutator(multiply(X_246,Z),multiply(X_246,X_245))))]]) ).
cnf(refute_0_5974,plain,
commutator(multiply(X_246,Z),multiply(X_246,X_245)) = commutator(multiply(inverse(X_245),Z),multiply(X_246,X_245)),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_245),Z),multiply(X_246,X_245)),commutator(multiply(X_246,Z),multiply(X_246,X_245))) )],[refute_0_5972,refute_0_5973]) ).
cnf(refute_0_5975,plain,
commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(commutator(multiply(X_256,X_257),X_256),X_257)),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(X_256,X_257))) = commutator(multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257)),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(X_256,X_257))),
inference(subst,[],[refute_0_5974:[bind(Z,$fot(multiply(commutator(multiply(X_256,X_257),X_256),X_257))),bind(X_245,$fot(multiply(X_256,X_257))),bind(X_246,$fot(inverse(multiply(X_256,multiply(X_256,X_257)))))]]) ).
cnf(refute_0_5976,plain,
( commutator(multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257)),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(X_256,X_257))) != commutator(multiply(X_256,commutator(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257)))
| commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(commutator(multiply(X_256,X_257),X_256),X_257)),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(X_256,X_257))) != commutator(multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257)),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(X_256,X_257)))
| commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(commutator(multiply(X_256,X_257),X_256),X_257)),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(X_256,X_257))) = commutator(multiply(X_256,commutator(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(commutator(multiply(X_256,X_257),X_256),X_257)),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(X_256,X_257))))),bind(Y0,$fot(commutator(multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257)),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(X_256,X_257))))),bind(Z0,$fot(commutator(multiply(X_256,commutator(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257)))))]]) ).
cnf(refute_0_5977,plain,
( commutator(multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257)),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(X_256,X_257))) != commutator(multiply(X_256,commutator(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257)))
| commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(commutator(multiply(X_256,X_257),X_256),X_257)),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(X_256,X_257))) = commutator(multiply(X_256,commutator(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(commutator(multiply(X_256,X_257),X_256),X_257)),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(X_256,X_257))),commutator(multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257)),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(X_256,X_257)))) )],[refute_0_5975,refute_0_5976]) ).
cnf(refute_0_5978,plain,
commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(commutator(multiply(X_256,X_257),X_256),X_257)),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(X_256,X_257))) = commutator(multiply(X_256,commutator(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257))),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257)),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(X_256,X_257))),commutator(multiply(X_256,commutator(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257)))) )],[refute_0_5932,refute_0_5977]) ).
cnf(refute_0_5979,plain,
( commutator(multiply(X_256,commutator(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257))) != commutator(multiply(X_256,commutator(X_256,X_257)),multiply(X_256,multiply(inverse(multiply(X_256,multiply(X_256,X_257))),X_257)))
| commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(commutator(multiply(X_256,X_257),X_256),X_257)),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(X_256,X_257))) != commutator(multiply(X_256,commutator(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257)))
| commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(commutator(multiply(X_256,X_257),X_256),X_257)),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(X_256,X_257))) = commutator(multiply(X_256,commutator(X_256,X_257)),multiply(X_256,multiply(inverse(multiply(X_256,multiply(X_256,X_257))),X_257))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(commutator(multiply(X_256,X_257),X_256),X_257)),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(X_256,X_257))))),bind(Y0,$fot(commutator(multiply(X_256,commutator(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257))))),bind(Z0,$fot(commutator(multiply(X_256,commutator(X_256,X_257)),multiply(X_256,multiply(inverse(multiply(X_256,multiply(X_256,X_257))),X_257)))))]]) ).
cnf(refute_0_5980,plain,
( commutator(multiply(X_256,commutator(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257))) != commutator(multiply(X_256,commutator(X_256,X_257)),multiply(X_256,multiply(inverse(multiply(X_256,multiply(X_256,X_257))),X_257)))
| commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(commutator(multiply(X_256,X_257),X_256),X_257)),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(X_256,X_257))) = commutator(multiply(X_256,commutator(X_256,X_257)),multiply(X_256,multiply(inverse(multiply(X_256,multiply(X_256,X_257))),X_257))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(commutator(multiply(X_256,X_257),X_256),X_257)),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(X_256,X_257))),commutator(multiply(X_256,commutator(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257)))) )],[refute_0_5978,refute_0_5979]) ).
cnf(refute_0_5981,plain,
commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(commutator(multiply(X_256,X_257),X_256),X_257)),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(X_256,X_257))) = commutator(multiply(X_256,commutator(X_256,X_257)),multiply(X_256,multiply(inverse(multiply(X_256,multiply(X_256,X_257))),X_257))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_256,commutator(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,X_257)),multiply(commutator(multiply(X_256,X_257),X_256),X_257))),commutator(multiply(X_256,commutator(X_256,X_257)),multiply(X_256,multiply(inverse(multiply(X_256,multiply(X_256,X_257))),X_257)))) )],[refute_0_5914,refute_0_5980]) ).
cnf(refute_0_5982,plain,
( commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(commutator(multiply(X_256,X_257),X_256),X_257)),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(X_256,X_257))) != commutator(multiply(X_256,commutator(X_256,X_257)),multiply(X_256,multiply(inverse(multiply(X_256,multiply(X_256,X_257))),X_257)))
| identity != commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(commutator(multiply(X_256,X_257),X_256),X_257)),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(X_256,X_257)))
| identity = commutator(multiply(X_256,commutator(X_256,X_257)),multiply(X_256,multiply(inverse(multiply(X_256,multiply(X_256,X_257))),X_257))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(commutator(multiply(X_256,X_257),X_256),X_257)),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(X_256,X_257)))) ),[1],$fot(commutator(multiply(X_256,commutator(X_256,X_257)),multiply(X_256,multiply(inverse(multiply(X_256,multiply(X_256,X_257))),X_257))))]]) ).
cnf(refute_0_5983,plain,
( identity != commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(commutator(multiply(X_256,X_257),X_256),X_257)),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(X_256,X_257)))
| identity = commutator(multiply(X_256,commutator(X_256,X_257)),multiply(X_256,multiply(inverse(multiply(X_256,multiply(X_256,X_257))),X_257))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(commutator(multiply(X_256,X_257),X_256),X_257)),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(X_256,X_257))),commutator(multiply(X_256,commutator(X_256,X_257)),multiply(X_256,multiply(inverse(multiply(X_256,multiply(X_256,X_257))),X_257)))) )],[refute_0_5981,refute_0_5982]) ).
cnf(refute_0_5984,plain,
identity = commutator(multiply(X_256,commutator(X_256,X_257)),multiply(X_256,multiply(inverse(multiply(X_256,multiply(X_256,X_257))),X_257))),
inference(resolve,[$cnf( $equal(identity,commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(commutator(multiply(X_256,X_257),X_256),X_257)),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(X_256,X_257)))) )],[refute_0_5853,refute_0_5983]) ).
cnf(refute_0_5985,plain,
identity = commutator(multiply(multiply(X_135,inverse(X_167)),commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))),
inference(subst,[],[refute_0_5984:[bind(X_256,$fot(multiply(X_135,inverse(X_167)))),bind(X_257,$fot(multiply(X_135,commutator(X_167,X_135))))]]) ).
cnf(refute_0_5986,plain,
( commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))) != commutator(X_135,X_167)
| identity != commutator(multiply(multiply(X_135,inverse(X_167)),commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135)))))
| identity = commutator(multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(multiply(multiply(X_135,inverse(X_167)),commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135)))))) ),[1,0,1],$fot(commutator(X_135,X_167))]]) ).
cnf(refute_0_5987,plain,
( identity != commutator(multiply(multiply(X_135,inverse(X_167)),commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135)))))
| identity = commutator(multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),commutator(X_135,X_167)) )],[refute_0_1769,refute_0_5986]) ).
cnf(refute_0_5988,plain,
identity = commutator(multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))),
inference(resolve,[$cnf( $equal(identity,commutator(multiply(multiply(X_135,inverse(X_167)),commutator(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135)))))) )],[refute_0_5985,refute_0_5987]) ).
cnf(refute_0_5989,plain,
( commutator(multiply(inverse(X_61),Z),X_114) != commutator(X_114,multiply(inverse(Z),X_61))
| commutator(X_114,multiply(inverse(Z),X_61)) = commutator(multiply(inverse(X_61),Z),X_114) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(multiply(inverse(X_61),Z),X_114))),bind(Y0,$fot(commutator(X_114,multiply(inverse(Z),X_61))))]]) ).
cnf(refute_0_5990,plain,
commutator(X_114,multiply(inverse(Z),X_61)) = commutator(multiply(inverse(X_61),Z),X_114),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_61),Z),X_114),commutator(X_114,multiply(inverse(Z),X_61))) )],[refute_0_4978,refute_0_5989]) ).
cnf(refute_0_5991,plain,
commutator(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_167),X_135)) = commutator(multiply(inverse(X_135),X_167),multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))),
inference(subst,[],[refute_0_5990:[bind(Z,$fot(X_167)),bind(X_114,$fot(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))),bind(X_61,$fot(X_135))]]) ).
cnf(refute_0_5992,plain,
commutator(multiply(inverse(X_167),X_135),inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))) = commutator(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_167),X_135)),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))),bind(X_110,$fot(multiply(inverse(X_167),X_135)))]]) ).
cnf(refute_0_5993,plain,
( commutator(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_167),X_135)) != commutator(multiply(inverse(X_135),X_167),multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))
| commutator(multiply(inverse(X_167),X_135),inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))) != commutator(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_167),X_135))
| commutator(multiply(inverse(X_167),X_135),inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))) = commutator(multiply(inverse(X_135),X_167),multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(inverse(X_167),X_135),inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))))),bind(Y0,$fot(commutator(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_167),X_135)))),bind(Z0,$fot(commutator(multiply(inverse(X_135),X_167),multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))))]]) ).
cnf(refute_0_5994,plain,
( commutator(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_167),X_135)) != commutator(multiply(inverse(X_135),X_167),multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))
| commutator(multiply(inverse(X_167),X_135),inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))) = commutator(multiply(inverse(X_135),X_167),multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_167),X_135),inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))),commutator(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_167),X_135))) )],[refute_0_5992,refute_0_5993]) ).
cnf(refute_0_5995,plain,
commutator(multiply(inverse(X_167),X_135),inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))) = commutator(multiply(inverse(X_135),X_167),multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))),
inference(resolve,[$cnf( $equal(commutator(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_167),X_135)),commutator(multiply(inverse(X_135),X_167),multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))) )],[refute_0_5991,refute_0_5994]) ).
cnf(refute_0_5996,plain,
multiply(X_165,inverse(multiply(X_163,multiply(multiply(X,Y),X_165)))) = inverse(multiply(X_163,multiply(X,Y))),
inference(subst,[],[refute_0_1367:[bind(X,$fot(X_163)),bind(Y,$fot(multiply(X,Y))),bind(X_59,$fot(X_165))]]) ).
cnf(refute_0_5997,plain,
multiply(multiply(X,Y),X_165) = multiply(X,multiply(Y,X_165)),
inference(subst,[],[associativity:[bind(Z,$fot(X_165))]]) ).
cnf(refute_0_5998,plain,
( multiply(X_165,inverse(multiply(X_163,multiply(multiply(X,Y),X_165)))) != inverse(multiply(X_163,multiply(X,Y)))
| multiply(multiply(X,Y),X_165) != multiply(X,multiply(Y,X_165))
| multiply(X_165,inverse(multiply(X_163,multiply(X,multiply(Y,X_165))))) = inverse(multiply(X_163,multiply(X,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_165,inverse(multiply(X_163,multiply(multiply(X,Y),X_165)))),inverse(multiply(X_163,multiply(X,Y)))) ),[0,1,0,1],$fot(multiply(X,multiply(Y,X_165)))]]) ).
cnf(refute_0_5999,plain,
( multiply(X_165,inverse(multiply(X_163,multiply(multiply(X,Y),X_165)))) != inverse(multiply(X_163,multiply(X,Y)))
| multiply(X_165,inverse(multiply(X_163,multiply(X,multiply(Y,X_165))))) = inverse(multiply(X_163,multiply(X,Y))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),X_165),multiply(X,multiply(Y,X_165))) )],[refute_0_5997,refute_0_5998]) ).
cnf(refute_0_6000,plain,
multiply(X_165,inverse(multiply(X_163,multiply(X,multiply(Y,X_165))))) = inverse(multiply(X_163,multiply(X,Y))),
inference(resolve,[$cnf( $equal(multiply(X_165,inverse(multiply(X_163,multiply(multiply(X,Y),X_165)))),inverse(multiply(X_163,multiply(X,Y)))) )],[refute_0_5996,refute_0_5999]) ).
cnf(refute_0_6001,plain,
multiply(X_135,inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),multiply(X_135,X_135))))) = inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))),
inference(subst,[],[refute_0_6000:[bind(X,$fot(inverse(X_167))),bind(Y,$fot(X_135)),bind(X_163,$fot(commutator(X_135,X_167))),bind(X_165,$fot(X_135))]]) ).
cnf(refute_0_6002,plain,
multiply(inverse(multiply(inverse(X_167),multiply(X_135,X_135))),commutator(X_167,X_135)) = inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),multiply(X_135,X_135)))),
inference(subst,[],[refute_0_331:[bind(X_10,$fot(multiply(inverse(X_167),multiply(X_135,X_135)))),bind(X_65,$fot(X_167)),bind(X_66,$fot(X_135))]]) ).
cnf(refute_0_6003,plain,
multiply(inverse(multiply(X_135,multiply(inverse(X_167),multiply(X_135,X_135)))),multiply(X_135,commutator(X_167,X_135))) = multiply(inverse(multiply(inverse(X_167),multiply(X_135,X_135))),commutator(X_167,X_135)),
inference(subst,[],[refute_0_2826:[bind(Z,$fot(commutator(X_167,X_135))),bind(X_50,$fot(X_135)),bind(X_51,$fot(multiply(inverse(X_167),multiply(X_135,X_135))))]]) ).
cnf(refute_0_6004,plain,
( multiply(inverse(multiply(X_135,multiply(inverse(X_167),multiply(X_135,X_135)))),multiply(X_135,commutator(X_167,X_135))) != multiply(inverse(multiply(inverse(X_167),multiply(X_135,X_135))),commutator(X_167,X_135))
| multiply(inverse(multiply(inverse(X_167),multiply(X_135,X_135))),commutator(X_167,X_135)) != inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),multiply(X_135,X_135))))
| multiply(inverse(multiply(X_135,multiply(inverse(X_167),multiply(X_135,X_135)))),multiply(X_135,commutator(X_167,X_135))) = inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),multiply(X_135,X_135)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_135,multiply(inverse(X_167),multiply(X_135,X_135)))),multiply(X_135,commutator(X_167,X_135))))),bind(Y0,$fot(multiply(inverse(multiply(inverse(X_167),multiply(X_135,X_135))),commutator(X_167,X_135)))),bind(Z0,$fot(inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),multiply(X_135,X_135))))))]]) ).
cnf(refute_0_6005,plain,
( multiply(inverse(multiply(inverse(X_167),multiply(X_135,X_135))),commutator(X_167,X_135)) != inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),multiply(X_135,X_135))))
| multiply(inverse(multiply(X_135,multiply(inverse(X_167),multiply(X_135,X_135)))),multiply(X_135,commutator(X_167,X_135))) = inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),multiply(X_135,X_135)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_135,multiply(inverse(X_167),multiply(X_135,X_135)))),multiply(X_135,commutator(X_167,X_135))),multiply(inverse(multiply(inverse(X_167),multiply(X_135,X_135))),commutator(X_167,X_135))) )],[refute_0_6003,refute_0_6004]) ).
cnf(refute_0_6006,plain,
multiply(inverse(multiply(X_135,multiply(inverse(X_167),multiply(X_135,X_135)))),multiply(X_135,commutator(X_167,X_135))) = inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),multiply(X_135,X_135)))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_167),multiply(X_135,X_135))),commutator(X_167,X_135)),inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),multiply(X_135,X_135))))) )],[refute_0_6002,refute_0_6005]) ).
cnf(refute_0_6007,plain,
multiply(inverse(X_167),multiply(X_167,X_135)) = X_135,
inference(subst,[],[refute_0_39:[bind(X_10,$fot(X_167)),bind(X_11,$fot(X_135))]]) ).
cnf(refute_0_6008,plain,
multiply(X_135,multiply(X_167,commutator(X_167,X_135))) = multiply(X_167,X_135),
inference(subst,[],[refute_0_2600:[bind(X,$fot(X_167)),bind(Y,$fot(X_135))]]) ).
cnf(refute_0_6009,plain,
multiply(commutator(X_167,X_135),X_167) = multiply(X_167,commutator(X_167,X_135)),
inference(subst,[],[refute_0_2195:[bind(X_102,$fot(X_135)),bind(X_58,$fot(X_167))]]) ).
cnf(refute_0_6010,plain,
multiply(X_135,multiply(commutator(X_167,X_135),X_167)) = multiply(X_135,multiply(commutator(X_167,X_135),X_167)),
introduced(tautology,[refl,[$fot(multiply(X_135,multiply(commutator(X_167,X_135),X_167)))]]) ).
cnf(refute_0_6011,plain,
( multiply(X_135,multiply(commutator(X_167,X_135),X_167)) != multiply(X_135,multiply(commutator(X_167,X_135),X_167))
| multiply(commutator(X_167,X_135),X_167) != multiply(X_167,commutator(X_167,X_135))
| multiply(X_135,multiply(commutator(X_167,X_135),X_167)) = multiply(X_135,multiply(X_167,commutator(X_167,X_135))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_135,multiply(commutator(X_167,X_135),X_167)),multiply(X_135,multiply(commutator(X_167,X_135),X_167))) ),[1,1],$fot(multiply(X_167,commutator(X_167,X_135)))]]) ).
cnf(refute_0_6012,plain,
( multiply(commutator(X_167,X_135),X_167) != multiply(X_167,commutator(X_167,X_135))
| multiply(X_135,multiply(commutator(X_167,X_135),X_167)) = multiply(X_135,multiply(X_167,commutator(X_167,X_135))) ),
inference(resolve,[$cnf( $equal(multiply(X_135,multiply(commutator(X_167,X_135),X_167)),multiply(X_135,multiply(commutator(X_167,X_135),X_167))) )],[refute_0_6010,refute_0_6011]) ).
cnf(refute_0_6013,plain,
multiply(X_135,multiply(commutator(X_167,X_135),X_167)) = multiply(X_135,multiply(X_167,commutator(X_167,X_135))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_167,X_135),X_167),multiply(X_167,commutator(X_167,X_135))) )],[refute_0_6009,refute_0_6012]) ).
cnf(refute_0_6014,plain,
( multiply(X_135,multiply(X_167,commutator(X_167,X_135))) != multiply(X_167,X_135)
| multiply(X_135,multiply(commutator(X_167,X_135),X_167)) != multiply(X_135,multiply(X_167,commutator(X_167,X_135)))
| multiply(X_135,multiply(commutator(X_167,X_135),X_167)) = multiply(X_167,X_135) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_135,multiply(commutator(X_167,X_135),X_167)))),bind(Y0,$fot(multiply(X_135,multiply(X_167,commutator(X_167,X_135))))),bind(Z0,$fot(multiply(X_167,X_135)))]]) ).
cnf(refute_0_6015,plain,
( multiply(X_135,multiply(X_167,commutator(X_167,X_135))) != multiply(X_167,X_135)
| multiply(X_135,multiply(commutator(X_167,X_135),X_167)) = multiply(X_167,X_135) ),
inference(resolve,[$cnf( $equal(multiply(X_135,multiply(commutator(X_167,X_135),X_167)),multiply(X_135,multiply(X_167,commutator(X_167,X_135)))) )],[refute_0_6013,refute_0_6014]) ).
cnf(refute_0_6016,plain,
multiply(X_135,multiply(commutator(X_167,X_135),X_167)) = multiply(X_167,X_135),
inference(resolve,[$cnf( $equal(multiply(X_135,multiply(X_167,commutator(X_167,X_135))),multiply(X_167,X_135)) )],[refute_0_6008,refute_0_6015]) ).
cnf(refute_0_6017,plain,
multiply(multiply(X_135,commutator(X_167,X_135)),X_167) = multiply(X_135,multiply(commutator(X_167,X_135),X_167)),
inference(subst,[],[associativity:[bind(X,$fot(X_135)),bind(Y,$fot(commutator(X_167,X_135))),bind(Z,$fot(X_167))]]) ).
cnf(refute_0_6018,plain,
( multiply(X_135,multiply(commutator(X_167,X_135),X_167)) != multiply(X_167,X_135)
| multiply(multiply(X_135,commutator(X_167,X_135)),X_167) != multiply(X_135,multiply(commutator(X_167,X_135),X_167))
| multiply(multiply(X_135,commutator(X_167,X_135)),X_167) = multiply(X_167,X_135) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_135,commutator(X_167,X_135)),X_167))),bind(Y0,$fot(multiply(X_135,multiply(commutator(X_167,X_135),X_167)))),bind(Z0,$fot(multiply(X_167,X_135)))]]) ).
cnf(refute_0_6019,plain,
( multiply(X_135,multiply(commutator(X_167,X_135),X_167)) != multiply(X_167,X_135)
| multiply(multiply(X_135,commutator(X_167,X_135)),X_167) = multiply(X_167,X_135) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_135,commutator(X_167,X_135)),X_167),multiply(X_135,multiply(commutator(X_167,X_135),X_167))) )],[refute_0_6017,refute_0_6018]) ).
cnf(refute_0_6020,plain,
multiply(multiply(X_135,commutator(X_167,X_135)),X_167) = multiply(X_167,X_135),
inference(resolve,[$cnf( $equal(multiply(X_135,multiply(commutator(X_167,X_135),X_167)),multiply(X_167,X_135)) )],[refute_0_6016,refute_0_6019]) ).
cnf(refute_0_6021,plain,
multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167)) = multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167)),
introduced(tautology,[refl,[$fot(multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167)))]]) ).
cnf(refute_0_6022,plain,
( multiply(multiply(X_135,commutator(X_167,X_135)),X_167) != multiply(X_167,X_135)
| multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167)) != multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167))
| multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167)) = multiply(inverse(X_167),multiply(X_167,X_135)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167)),multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167))) ),[1,1],$fot(multiply(X_167,X_135))]]) ).
cnf(refute_0_6023,plain,
( multiply(multiply(X_135,commutator(X_167,X_135)),X_167) != multiply(X_167,X_135)
| multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167)) = multiply(inverse(X_167),multiply(X_167,X_135)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167)),multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167))) )],[refute_0_6021,refute_0_6022]) ).
cnf(refute_0_6024,plain,
multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167)) = multiply(inverse(X_167),multiply(X_167,X_135)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_135,commutator(X_167,X_135)),X_167),multiply(X_167,X_135)) )],[refute_0_6020,refute_0_6023]) ).
cnf(refute_0_6025,plain,
( multiply(inverse(X_167),multiply(X_167,X_135)) != X_135
| multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167)) != multiply(inverse(X_167),multiply(X_167,X_135))
| multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167)) = X_135 ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167)))),bind(Y0,$fot(multiply(inverse(X_167),multiply(X_167,X_135)))),bind(Z0,$fot(X_135))]]) ).
cnf(refute_0_6026,plain,
( multiply(inverse(X_167),multiply(X_167,X_135)) != X_135
| multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167)) = X_135 ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167)),multiply(inverse(X_167),multiply(X_167,X_135))) )],[refute_0_6024,refute_0_6025]) ).
cnf(refute_0_6027,plain,
multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167)) = X_135,
inference(resolve,[$cnf( $equal(multiply(inverse(X_167),multiply(X_167,X_135)),X_135) )],[refute_0_6007,refute_0_6026]) ).
cnf(refute_0_6028,plain,
multiply(X_135,multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167))) = multiply(X_135,multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167))),
introduced(tautology,[refl,[$fot(multiply(X_135,multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167))))]]) ).
cnf(refute_0_6029,plain,
( multiply(X_135,multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167))) != multiply(X_135,multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167)))
| multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167)) != X_135
| multiply(X_135,multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167))) = multiply(X_135,X_135) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_135,multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167))),multiply(X_135,multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167)))) ),[1,1],$fot(X_135)]]) ).
cnf(refute_0_6030,plain,
( multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167)) != X_135
| multiply(X_135,multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167))) = multiply(X_135,X_135) ),
inference(resolve,[$cnf( $equal(multiply(X_135,multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167))),multiply(X_135,multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167)))) )],[refute_0_6028,refute_0_6029]) ).
cnf(refute_0_6031,plain,
multiply(X_135,multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167))) = multiply(X_135,X_135),
inference(resolve,[$cnf( $equal(multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167)),X_135) )],[refute_0_6027,refute_0_6030]) ).
cnf(refute_0_6032,plain,
multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,commutator(X_167,X_135)),X_167)) = multiply(X_135,multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167))),
inference(subst,[],[associativity:[bind(X,$fot(X_135)),bind(Y,$fot(inverse(X_167))),bind(Z,$fot(multiply(multiply(X_135,commutator(X_167,X_135)),X_167)))]]) ).
cnf(refute_0_6033,plain,
multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167) = multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,commutator(X_167,X_135)),X_167)),
inference(subst,[],[associativity:[bind(X,$fot(multiply(X_135,inverse(X_167)))),bind(Y,$fot(multiply(X_135,commutator(X_167,X_135)))),bind(Z,$fot(X_167))]]) ).
cnf(refute_0_6034,plain,
( multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,commutator(X_167,X_135)),X_167)) != multiply(X_135,multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167)))
| multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167) != multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,commutator(X_167,X_135)),X_167))
| multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167) = multiply(X_135,multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167))),bind(Y0,$fot(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,commutator(X_167,X_135)),X_167)))),bind(Z0,$fot(multiply(X_135,multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167)))))]]) ).
cnf(refute_0_6035,plain,
( multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,commutator(X_167,X_135)),X_167)) != multiply(X_135,multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167)))
| multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167) = multiply(X_135,multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167),multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,commutator(X_167,X_135)),X_167))) )],[refute_0_6033,refute_0_6034]) ).
cnf(refute_0_6036,plain,
multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167) = multiply(X_135,multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,commutator(X_167,X_135)),X_167)),multiply(X_135,multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167)))) )],[refute_0_6032,refute_0_6035]) ).
cnf(refute_0_6037,plain,
( multiply(X_135,multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167))) != multiply(X_135,X_135)
| multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167) != multiply(X_135,multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167)))
| multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167) = multiply(X_135,X_135) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167))),bind(Y0,$fot(multiply(X_135,multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167))))),bind(Z0,$fot(multiply(X_135,X_135)))]]) ).
cnf(refute_0_6038,plain,
( multiply(X_135,multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167))) != multiply(X_135,X_135)
| multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167) = multiply(X_135,X_135) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167),multiply(X_135,multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167)))) )],[refute_0_6036,refute_0_6037]) ).
cnf(refute_0_6039,plain,
multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167) = multiply(X_135,X_135),
inference(resolve,[$cnf( $equal(multiply(X_135,multiply(inverse(X_167),multiply(multiply(X_135,commutator(X_167,X_135)),X_167))),multiply(X_135,X_135)) )],[refute_0_6031,refute_0_6038]) ).
cnf(refute_0_6040,plain,
multiply(inverse(X_167),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167)) = multiply(inverse(X_167),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167)),
introduced(tautology,[refl,[$fot(multiply(inverse(X_167),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167)))]]) ).
cnf(refute_0_6041,plain,
( multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167) != multiply(X_135,X_135)
| multiply(inverse(X_167),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167)) != multiply(inverse(X_167),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167))
| multiply(inverse(X_167),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167)) = multiply(inverse(X_167),multiply(X_135,X_135)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_167),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167)),multiply(inverse(X_167),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167))) ),[1,1],$fot(multiply(X_135,X_135))]]) ).
cnf(refute_0_6042,plain,
( multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167) != multiply(X_135,X_135)
| multiply(inverse(X_167),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167)) = multiply(inverse(X_167),multiply(X_135,X_135)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_167),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167)),multiply(inverse(X_167),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167))) )],[refute_0_6040,refute_0_6041]) ).
cnf(refute_0_6043,plain,
multiply(inverse(X_167),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167)) = multiply(inverse(X_167),multiply(X_135,X_135)),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167),multiply(X_135,X_135)) )],[refute_0_6039,refute_0_6042]) ).
cnf(refute_0_6044,plain,
multiply(X_135,multiply(inverse(X_167),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167))) = multiply(X_135,multiply(inverse(X_167),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167))),
introduced(tautology,[refl,[$fot(multiply(X_135,multiply(inverse(X_167),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167))))]]) ).
cnf(refute_0_6045,plain,
( multiply(X_135,multiply(inverse(X_167),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167))) != multiply(X_135,multiply(inverse(X_167),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167)))
| multiply(inverse(X_167),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167)) != multiply(inverse(X_167),multiply(X_135,X_135))
| multiply(X_135,multiply(inverse(X_167),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167))) = multiply(X_135,multiply(inverse(X_167),multiply(X_135,X_135))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_135,multiply(inverse(X_167),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167))),multiply(X_135,multiply(inverse(X_167),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167)))) ),[1,1],$fot(multiply(inverse(X_167),multiply(X_135,X_135)))]]) ).
cnf(refute_0_6046,plain,
( multiply(inverse(X_167),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167)) != multiply(inverse(X_167),multiply(X_135,X_135))
| multiply(X_135,multiply(inverse(X_167),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167))) = multiply(X_135,multiply(inverse(X_167),multiply(X_135,X_135))) ),
inference(resolve,[$cnf( $equal(multiply(X_135,multiply(inverse(X_167),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167))),multiply(X_135,multiply(inverse(X_167),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167)))) )],[refute_0_6044,refute_0_6045]) ).
cnf(refute_0_6047,plain,
multiply(X_135,multiply(inverse(X_167),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167))) = multiply(X_135,multiply(inverse(X_167),multiply(X_135,X_135))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_167),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167)),multiply(inverse(X_167),multiply(X_135,X_135))) )],[refute_0_6043,refute_0_6046]) ).
cnf(refute_0_6048,plain,
multiply(multiply(X_135,inverse(X_167)),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167)) = multiply(X_135,multiply(inverse(X_167),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167))),
inference(subst,[],[associativity:[bind(X,$fot(X_135)),bind(Y,$fot(inverse(X_167))),bind(Z,$fot(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167)))]]) ).
cnf(refute_0_6049,plain,
multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167) = multiply(multiply(X_135,inverse(X_167)),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167)),
inference(subst,[],[associativity:[bind(X,$fot(multiply(X_135,inverse(X_167)))),bind(Y,$fot(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),bind(Z,$fot(X_167))]]) ).
cnf(refute_0_6050,plain,
( multiply(multiply(X_135,inverse(X_167)),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167)) != multiply(X_135,multiply(inverse(X_167),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167)))
| multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167) != multiply(multiply(X_135,inverse(X_167)),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167))
| multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167) = multiply(X_135,multiply(inverse(X_167),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167))),bind(Y0,$fot(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167)))),bind(Z0,$fot(multiply(X_135,multiply(inverse(X_167),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167)))))]]) ).
cnf(refute_0_6051,plain,
( multiply(multiply(X_135,inverse(X_167)),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167)) != multiply(X_135,multiply(inverse(X_167),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167)))
| multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167) = multiply(X_135,multiply(inverse(X_167),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167),multiply(multiply(X_135,inverse(X_167)),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167))) )],[refute_0_6049,refute_0_6050]) ).
cnf(refute_0_6052,plain,
multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167) = multiply(X_135,multiply(inverse(X_167),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167)),multiply(X_135,multiply(inverse(X_167),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167)))) )],[refute_0_6048,refute_0_6051]) ).
cnf(refute_0_6053,plain,
( multiply(X_135,multiply(inverse(X_167),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167))) != multiply(X_135,multiply(inverse(X_167),multiply(X_135,X_135)))
| multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167) != multiply(X_135,multiply(inverse(X_167),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167)))
| multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167) = multiply(X_135,multiply(inverse(X_167),multiply(X_135,X_135))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167))),bind(Y0,$fot(multiply(X_135,multiply(inverse(X_167),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167))))),bind(Z0,$fot(multiply(X_135,multiply(inverse(X_167),multiply(X_135,X_135)))))]]) ).
cnf(refute_0_6054,plain,
( multiply(X_135,multiply(inverse(X_167),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167))) != multiply(X_135,multiply(inverse(X_167),multiply(X_135,X_135)))
| multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167) = multiply(X_135,multiply(inverse(X_167),multiply(X_135,X_135))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167),multiply(X_135,multiply(inverse(X_167),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167)))) )],[refute_0_6052,refute_0_6053]) ).
cnf(refute_0_6055,plain,
multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167) = multiply(X_135,multiply(inverse(X_167),multiply(X_135,X_135))),
inference(resolve,[$cnf( $equal(multiply(X_135,multiply(inverse(X_167),multiply(multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))),X_167))),multiply(X_135,multiply(inverse(X_167),multiply(X_135,X_135)))) )],[refute_0_6047,refute_0_6054]) ).
cnf(refute_0_6056,plain,
inverse(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167)) = inverse(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167)),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167)))]]) ).
cnf(refute_0_6057,plain,
( multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167) != multiply(X_135,multiply(inverse(X_167),multiply(X_135,X_135)))
| inverse(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167)) != inverse(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167))
| inverse(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167)) = inverse(multiply(X_135,multiply(inverse(X_167),multiply(X_135,X_135)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167)),inverse(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167))) ),[1,0],$fot(multiply(X_135,multiply(inverse(X_167),multiply(X_135,X_135))))]]) ).
cnf(refute_0_6058,plain,
( multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167) != multiply(X_135,multiply(inverse(X_167),multiply(X_135,X_135)))
| inverse(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167)) = inverse(multiply(X_135,multiply(inverse(X_167),multiply(X_135,X_135)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167)),inverse(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167))) )],[refute_0_6056,refute_0_6057]) ).
cnf(refute_0_6059,plain,
inverse(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167)) = inverse(multiply(X_135,multiply(inverse(X_167),multiply(X_135,X_135)))),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167),multiply(X_135,multiply(inverse(X_167),multiply(X_135,X_135)))) )],[refute_0_6055,refute_0_6058]) ).
cnf(refute_0_6060,plain,
multiply(inverse(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167)),multiply(X_135,commutator(X_167,X_135))) = multiply(inverse(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167)),multiply(X_135,commutator(X_167,X_135))),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167)),multiply(X_135,commutator(X_167,X_135))))]]) ).
cnf(refute_0_6061,plain,
( multiply(inverse(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167)),multiply(X_135,commutator(X_167,X_135))) != multiply(inverse(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167)),multiply(X_135,commutator(X_167,X_135)))
| inverse(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167)) != inverse(multiply(X_135,multiply(inverse(X_167),multiply(X_135,X_135))))
| multiply(inverse(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167)),multiply(X_135,commutator(X_167,X_135))) = multiply(inverse(multiply(X_135,multiply(inverse(X_167),multiply(X_135,X_135)))),multiply(X_135,commutator(X_167,X_135))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167)),multiply(X_135,commutator(X_167,X_135))),multiply(inverse(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167)),multiply(X_135,commutator(X_167,X_135)))) ),[1,0],$fot(inverse(multiply(X_135,multiply(inverse(X_167),multiply(X_135,X_135)))))]]) ).
cnf(refute_0_6062,plain,
( inverse(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167)) != inverse(multiply(X_135,multiply(inverse(X_167),multiply(X_135,X_135))))
| multiply(inverse(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167)),multiply(X_135,commutator(X_167,X_135))) = multiply(inverse(multiply(X_135,multiply(inverse(X_167),multiply(X_135,X_135)))),multiply(X_135,commutator(X_167,X_135))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167)),multiply(X_135,commutator(X_167,X_135))),multiply(inverse(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167)),multiply(X_135,commutator(X_167,X_135)))) )],[refute_0_6060,refute_0_6061]) ).
cnf(refute_0_6063,plain,
multiply(inverse(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167)),multiply(X_135,commutator(X_167,X_135))) = multiply(inverse(multiply(X_135,multiply(inverse(X_167),multiply(X_135,X_135)))),multiply(X_135,commutator(X_167,X_135))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167)),inverse(multiply(X_135,multiply(inverse(X_167),multiply(X_135,X_135))))) )],[refute_0_6059,refute_0_6062]) ).
cnf(refute_0_6064,plain,
( multiply(inverse(multiply(X_135,multiply(inverse(X_167),multiply(X_135,X_135)))),multiply(X_135,commutator(X_167,X_135))) != inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),multiply(X_135,X_135))))
| multiply(inverse(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167)),multiply(X_135,commutator(X_167,X_135))) != multiply(inverse(multiply(X_135,multiply(inverse(X_167),multiply(X_135,X_135)))),multiply(X_135,commutator(X_167,X_135)))
| multiply(inverse(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167)),multiply(X_135,commutator(X_167,X_135))) = inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),multiply(X_135,X_135)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167)),multiply(X_135,commutator(X_167,X_135))))),bind(Y0,$fot(multiply(inverse(multiply(X_135,multiply(inverse(X_167),multiply(X_135,X_135)))),multiply(X_135,commutator(X_167,X_135))))),bind(Z0,$fot(inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),multiply(X_135,X_135))))))]]) ).
cnf(refute_0_6065,plain,
( multiply(inverse(multiply(X_135,multiply(inverse(X_167),multiply(X_135,X_135)))),multiply(X_135,commutator(X_167,X_135))) != inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),multiply(X_135,X_135))))
| multiply(inverse(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167)),multiply(X_135,commutator(X_167,X_135))) = inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),multiply(X_135,X_135)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167)),multiply(X_135,commutator(X_167,X_135))),multiply(inverse(multiply(X_135,multiply(inverse(X_167),multiply(X_135,X_135)))),multiply(X_135,commutator(X_167,X_135)))) )],[refute_0_6063,refute_0_6064]) ).
cnf(refute_0_6066,plain,
multiply(inverse(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167)),multiply(X_135,commutator(X_167,X_135))) = inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),multiply(X_135,X_135)))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_135,multiply(inverse(X_167),multiply(X_135,X_135)))),multiply(X_135,commutator(X_167,X_135))),inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),multiply(X_135,X_135))))) )],[refute_0_6006,refute_0_6065]) ).
cnf(refute_0_6067,plain,
multiply(inverse(X_167),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135)))) = multiply(inverse(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167)),multiply(X_135,commutator(X_167,X_135))),
inference(subst,[],[refute_0_242:[bind(Z,$fot(multiply(X_135,commutator(X_167,X_135)))),bind(X_62,$fot(X_167)),bind(X_63,$fot(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))))]]) ).
cnf(refute_0_6068,plain,
( multiply(inverse(X_167),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135)))) != multiply(inverse(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167)),multiply(X_135,commutator(X_167,X_135)))
| multiply(inverse(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167)),multiply(X_135,commutator(X_167,X_135))) != inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),multiply(X_135,X_135))))
| multiply(inverse(X_167),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135)))) = inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),multiply(X_135,X_135)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(X_167),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135)))))),bind(Y0,$fot(multiply(inverse(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167)),multiply(X_135,commutator(X_167,X_135))))),bind(Z0,$fot(inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),multiply(X_135,X_135))))))]]) ).
cnf(refute_0_6069,plain,
( multiply(inverse(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167)),multiply(X_135,commutator(X_167,X_135))) != inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),multiply(X_135,X_135))))
| multiply(inverse(X_167),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135)))) = inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),multiply(X_135,X_135)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_167),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135)))),multiply(inverse(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167)),multiply(X_135,commutator(X_167,X_135)))) )],[refute_0_6067,refute_0_6068]) ).
cnf(refute_0_6070,plain,
multiply(inverse(X_167),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135)))) = inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),multiply(X_135,X_135)))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135)))),X_167)),multiply(X_135,commutator(X_167,X_135))),inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),multiply(X_135,X_135))))) )],[refute_0_6066,refute_0_6069]) ).
cnf(refute_0_6071,plain,
multiply(X_135,multiply(inverse(X_167),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))) = multiply(X_135,multiply(inverse(X_167),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))),
introduced(tautology,[refl,[$fot(multiply(X_135,multiply(inverse(X_167),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))))]]) ).
cnf(refute_0_6072,plain,
( multiply(X_135,multiply(inverse(X_167),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))) != multiply(X_135,multiply(inverse(X_167),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135)))))
| multiply(inverse(X_167),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135)))) != inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),multiply(X_135,X_135))))
| multiply(X_135,multiply(inverse(X_167),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))) = multiply(X_135,inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),multiply(X_135,X_135))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_135,multiply(inverse(X_167),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,multiply(inverse(X_167),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135)))))) ),[1,1],$fot(inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),multiply(X_135,X_135)))))]]) ).
cnf(refute_0_6073,plain,
( multiply(inverse(X_167),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135)))) != inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),multiply(X_135,X_135))))
| multiply(X_135,multiply(inverse(X_167),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))) = multiply(X_135,inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),multiply(X_135,X_135))))) ),
inference(resolve,[$cnf( $equal(multiply(X_135,multiply(inverse(X_167),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,multiply(inverse(X_167),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135)))))) )],[refute_0_6071,refute_0_6072]) ).
cnf(refute_0_6074,plain,
multiply(X_135,multiply(inverse(X_167),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))) = multiply(X_135,inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),multiply(X_135,X_135))))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_167),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135)))),inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),multiply(X_135,X_135))))) )],[refute_0_6070,refute_0_6073]) ).
cnf(refute_0_6075,plain,
( multiply(X_135,multiply(inverse(X_167),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))) != multiply(X_135,inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),multiply(X_135,X_135)))))
| multiply(X_135,inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),multiply(X_135,X_135))))) != inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))
| multiply(X_135,multiply(inverse(X_167),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))) = inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_135,multiply(inverse(X_167),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))))),bind(Y0,$fot(multiply(X_135,inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),multiply(X_135,X_135))))))),bind(Z0,$fot(inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))))]]) ).
cnf(refute_0_6076,plain,
( multiply(X_135,inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),multiply(X_135,X_135))))) != inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))
| multiply(X_135,multiply(inverse(X_167),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))) = inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))) ),
inference(resolve,[$cnf( $equal(multiply(X_135,multiply(inverse(X_167),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),multiply(X_135,X_135)))))) )],[refute_0_6074,refute_0_6075]) ).
cnf(refute_0_6077,plain,
multiply(X_135,multiply(inverse(X_167),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))) = inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))),
inference(resolve,[$cnf( $equal(multiply(X_135,inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),multiply(X_135,X_135))))),inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))) )],[refute_0_6001,refute_0_6076]) ).
cnf(refute_0_6078,plain,
multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135)))) = multiply(X_135,multiply(inverse(X_167),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))),
inference(subst,[],[associativity:[bind(X,$fot(X_135)),bind(Y,$fot(inverse(X_167))),bind(Z,$fot(multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135)))))]]) ).
cnf(refute_0_6079,plain,
( multiply(X_135,multiply(inverse(X_167),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))) != inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))
| multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135)))) != multiply(X_135,multiply(inverse(X_167),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135)))))
| multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135)))) = inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135)))))),bind(Y0,$fot(multiply(X_135,multiply(inverse(X_167),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))))),bind(Z0,$fot(inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))))]]) ).
cnf(refute_0_6080,plain,
( multiply(X_135,multiply(inverse(X_167),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))) != inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))
| multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135)))) = inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135)))),multiply(X_135,multiply(inverse(X_167),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135)))))) )],[refute_0_6078,refute_0_6079]) ).
cnf(refute_0_6081,plain,
multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135)))) = inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))),
inference(resolve,[$cnf( $equal(multiply(X_135,multiply(inverse(X_167),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))),inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))) )],[refute_0_6077,refute_0_6080]) ).
cnf(refute_0_6082,plain,
commutator(multiply(inverse(X_167),X_135),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))) = commutator(multiply(inverse(X_167),X_135),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))),
introduced(tautology,[refl,[$fot(commutator(multiply(inverse(X_167),X_135),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))))]]) ).
cnf(refute_0_6083,plain,
( multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135)))) != inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))
| commutator(multiply(inverse(X_167),X_135),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))) != commutator(multiply(inverse(X_167),X_135),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135)))))
| commutator(multiply(inverse(X_167),X_135),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))) = commutator(multiply(inverse(X_167),X_135),inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(X_167),X_135),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))),commutator(multiply(inverse(X_167),X_135),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135)))))) ),[1,1],$fot(inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))))]]) ).
cnf(refute_0_6084,plain,
( multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135)))) != inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))
| commutator(multiply(inverse(X_167),X_135),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))) = commutator(multiply(inverse(X_167),X_135),inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_167),X_135),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))),commutator(multiply(inverse(X_167),X_135),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135)))))) )],[refute_0_6082,refute_0_6083]) ).
cnf(refute_0_6085,plain,
commutator(multiply(inverse(X_167),X_135),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))) = commutator(multiply(inverse(X_167),X_135),inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135)))),inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))) )],[refute_0_6081,refute_0_6084]) ).
cnf(refute_0_6086,plain,
multiply(X_135,inverse(multiply(X_167,commutator(X_167,X_135)))) = multiply(inverse(X_167),X_135),
inference(subst,[],[refute_0_2505:[bind(X_10,$fot(X_167)),bind(X_75,$fot(X_135))]]) ).
cnf(refute_0_6087,plain,
inverse(multiply(commutator(X_167,X_135),X_167)) = inverse(multiply(commutator(X_167,X_135),X_167)),
introduced(tautology,[refl,[$fot(inverse(multiply(commutator(X_167,X_135),X_167)))]]) ).
cnf(refute_0_6088,plain,
( multiply(commutator(X_167,X_135),X_167) != multiply(X_167,commutator(X_167,X_135))
| inverse(multiply(commutator(X_167,X_135),X_167)) != inverse(multiply(commutator(X_167,X_135),X_167))
| inverse(multiply(commutator(X_167,X_135),X_167)) = inverse(multiply(X_167,commutator(X_167,X_135))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(commutator(X_167,X_135),X_167)),inverse(multiply(commutator(X_167,X_135),X_167))) ),[1,0],$fot(multiply(X_167,commutator(X_167,X_135)))]]) ).
cnf(refute_0_6089,plain,
( multiply(commutator(X_167,X_135),X_167) != multiply(X_167,commutator(X_167,X_135))
| inverse(multiply(commutator(X_167,X_135),X_167)) = inverse(multiply(X_167,commutator(X_167,X_135))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_167,X_135),X_167)),inverse(multiply(commutator(X_167,X_135),X_167))) )],[refute_0_6087,refute_0_6088]) ).
cnf(refute_0_6090,plain,
inverse(multiply(commutator(X_167,X_135),X_167)) = inverse(multiply(X_167,commutator(X_167,X_135))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_167,X_135),X_167),multiply(X_167,commutator(X_167,X_135))) )],[refute_0_6009,refute_0_6089]) ).
cnf(refute_0_6091,plain,
multiply(inverse(X_167),commutator(X_135,X_167)) = inverse(multiply(commutator(X_167,X_135),X_167)),
inference(subst,[],[refute_0_331:[bind(X_10,$fot(X_167)),bind(X_65,$fot(X_135)),bind(X_66,$fot(X_167))]]) ).
cnf(refute_0_6092,plain,
( multiply(inverse(X_167),commutator(X_135,X_167)) != inverse(multiply(commutator(X_167,X_135),X_167))
| inverse(multiply(commutator(X_167,X_135),X_167)) != inverse(multiply(X_167,commutator(X_167,X_135)))
| multiply(inverse(X_167),commutator(X_135,X_167)) = inverse(multiply(X_167,commutator(X_167,X_135))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(X_167),commutator(X_135,X_167)))),bind(Y0,$fot(inverse(multiply(commutator(X_167,X_135),X_167)))),bind(Z0,$fot(inverse(multiply(X_167,commutator(X_167,X_135)))))]]) ).
cnf(refute_0_6093,plain,
( inverse(multiply(commutator(X_167,X_135),X_167)) != inverse(multiply(X_167,commutator(X_167,X_135)))
| multiply(inverse(X_167),commutator(X_135,X_167)) = inverse(multiply(X_167,commutator(X_167,X_135))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_167),commutator(X_135,X_167)),inverse(multiply(commutator(X_167,X_135),X_167))) )],[refute_0_6091,refute_0_6092]) ).
cnf(refute_0_6094,plain,
multiply(inverse(X_167),commutator(X_135,X_167)) = inverse(multiply(X_167,commutator(X_167,X_135))),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_167,X_135),X_167)),inverse(multiply(X_167,commutator(X_167,X_135)))) )],[refute_0_6090,refute_0_6093]) ).
cnf(refute_0_6095,plain,
multiply(X_135,multiply(inverse(X_167),commutator(X_135,X_167))) = multiply(X_135,multiply(inverse(X_167),commutator(X_135,X_167))),
introduced(tautology,[refl,[$fot(multiply(X_135,multiply(inverse(X_167),commutator(X_135,X_167))))]]) ).
cnf(refute_0_6096,plain,
( multiply(X_135,multiply(inverse(X_167),commutator(X_135,X_167))) != multiply(X_135,multiply(inverse(X_167),commutator(X_135,X_167)))
| multiply(inverse(X_167),commutator(X_135,X_167)) != inverse(multiply(X_167,commutator(X_167,X_135)))
| multiply(X_135,multiply(inverse(X_167),commutator(X_135,X_167))) = multiply(X_135,inverse(multiply(X_167,commutator(X_167,X_135)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_135,multiply(inverse(X_167),commutator(X_135,X_167))),multiply(X_135,multiply(inverse(X_167),commutator(X_135,X_167)))) ),[1,1],$fot(inverse(multiply(X_167,commutator(X_167,X_135))))]]) ).
cnf(refute_0_6097,plain,
( multiply(inverse(X_167),commutator(X_135,X_167)) != inverse(multiply(X_167,commutator(X_167,X_135)))
| multiply(X_135,multiply(inverse(X_167),commutator(X_135,X_167))) = multiply(X_135,inverse(multiply(X_167,commutator(X_167,X_135)))) ),
inference(resolve,[$cnf( $equal(multiply(X_135,multiply(inverse(X_167),commutator(X_135,X_167))),multiply(X_135,multiply(inverse(X_167),commutator(X_135,X_167)))) )],[refute_0_6095,refute_0_6096]) ).
cnf(refute_0_6098,plain,
multiply(X_135,multiply(inverse(X_167),commutator(X_135,X_167))) = multiply(X_135,inverse(multiply(X_167,commutator(X_167,X_135)))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_167),commutator(X_135,X_167)),inverse(multiply(X_167,commutator(X_167,X_135)))) )],[refute_0_6094,refute_0_6097]) ).
cnf(refute_0_6099,plain,
( multiply(X_135,multiply(inverse(X_167),commutator(X_135,X_167))) != multiply(X_135,inverse(multiply(X_167,commutator(X_167,X_135))))
| multiply(X_135,inverse(multiply(X_167,commutator(X_167,X_135)))) != multiply(inverse(X_167),X_135)
| multiply(X_135,multiply(inverse(X_167),commutator(X_135,X_167))) = multiply(inverse(X_167),X_135) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_135,multiply(inverse(X_167),commutator(X_135,X_167))))),bind(Y0,$fot(multiply(X_135,inverse(multiply(X_167,commutator(X_167,X_135)))))),bind(Z0,$fot(multiply(inverse(X_167),X_135)))]]) ).
cnf(refute_0_6100,plain,
( multiply(X_135,inverse(multiply(X_167,commutator(X_167,X_135)))) != multiply(inverse(X_167),X_135)
| multiply(X_135,multiply(inverse(X_167),commutator(X_135,X_167))) = multiply(inverse(X_167),X_135) ),
inference(resolve,[$cnf( $equal(multiply(X_135,multiply(inverse(X_167),commutator(X_135,X_167))),multiply(X_135,inverse(multiply(X_167,commutator(X_167,X_135))))) )],[refute_0_6098,refute_0_6099]) ).
cnf(refute_0_6101,plain,
multiply(X_135,multiply(inverse(X_167),commutator(X_135,X_167))) = multiply(inverse(X_167),X_135),
inference(resolve,[$cnf( $equal(multiply(X_135,inverse(multiply(X_167,commutator(X_167,X_135)))),multiply(inverse(X_167),X_135)) )],[refute_0_6086,refute_0_6100]) ).
cnf(refute_0_6102,plain,
multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)) = multiply(X_135,multiply(inverse(X_167),commutator(X_135,X_167))),
inference(subst,[],[associativity:[bind(X,$fot(X_135)),bind(Y,$fot(inverse(X_167))),bind(Z,$fot(commutator(X_135,X_167)))]]) ).
cnf(refute_0_6103,plain,
( multiply(X_135,multiply(inverse(X_167),commutator(X_135,X_167))) != multiply(inverse(X_167),X_135)
| multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)) != multiply(X_135,multiply(inverse(X_167),commutator(X_135,X_167)))
| multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)) = multiply(inverse(X_167),X_135) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)))),bind(Y0,$fot(multiply(X_135,multiply(inverse(X_167),commutator(X_135,X_167))))),bind(Z0,$fot(multiply(inverse(X_167),X_135)))]]) ).
cnf(refute_0_6104,plain,
( multiply(X_135,multiply(inverse(X_167),commutator(X_135,X_167))) != multiply(inverse(X_167),X_135)
| multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)) = multiply(inverse(X_167),X_135) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)),multiply(X_135,multiply(inverse(X_167),commutator(X_135,X_167)))) )],[refute_0_6102,refute_0_6103]) ).
cnf(refute_0_6105,plain,
multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)) = multiply(inverse(X_167),X_135),
inference(resolve,[$cnf( $equal(multiply(X_135,multiply(inverse(X_167),commutator(X_135,X_167))),multiply(inverse(X_167),X_135)) )],[refute_0_6101,refute_0_6104]) ).
cnf(refute_0_6106,plain,
commutator(multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))) = commutator(multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))),
introduced(tautology,[refl,[$fot(commutator(multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))))]]) ).
cnf(refute_0_6107,plain,
( multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)) != multiply(inverse(X_167),X_135)
| commutator(multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))) != commutator(multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135)))))
| commutator(multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))) = commutator(multiply(inverse(X_167),X_135),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))),commutator(multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135)))))) ),[1,0],$fot(multiply(inverse(X_167),X_135))]]) ).
cnf(refute_0_6108,plain,
( multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)) != multiply(inverse(X_167),X_135)
| commutator(multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))) = commutator(multiply(inverse(X_167),X_135),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))),commutator(multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135)))))) )],[refute_0_6106,refute_0_6107]) ).
cnf(refute_0_6109,plain,
commutator(multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))) = commutator(multiply(inverse(X_167),X_135),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)),multiply(inverse(X_167),X_135)) )],[refute_0_6105,refute_0_6108]) ).
cnf(refute_0_6110,plain,
( commutator(multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))) != commutator(multiply(inverse(X_167),X_135),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135)))))
| commutator(multiply(inverse(X_167),X_135),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))) != commutator(multiply(inverse(X_167),X_135),inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))))
| commutator(multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))) = commutator(multiply(inverse(X_167),X_135),inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))))),bind(Y0,$fot(commutator(multiply(inverse(X_167),X_135),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))))),bind(Z0,$fot(commutator(multiply(inverse(X_167),X_135),inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))))))]]) ).
cnf(refute_0_6111,plain,
( commutator(multiply(inverse(X_167),X_135),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))) != commutator(multiply(inverse(X_167),X_135),inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))))
| commutator(multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))) = commutator(multiply(inverse(X_167),X_135),inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))),commutator(multiply(inverse(X_167),X_135),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135)))))) )],[refute_0_6109,refute_0_6110]) ).
cnf(refute_0_6112,plain,
commutator(multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))) = commutator(multiply(inverse(X_167),X_135),inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_167),X_135),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))),commutator(multiply(inverse(X_167),X_135),inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))))) )],[refute_0_6085,refute_0_6111]) ).
cnf(refute_0_6113,plain,
( commutator(multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))) != commutator(multiply(inverse(X_167),X_135),inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))))
| commutator(multiply(inverse(X_167),X_135),inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))) != commutator(multiply(inverse(X_135),X_167),multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))
| commutator(multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))) = commutator(multiply(inverse(X_135),X_167),multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))))),bind(Y0,$fot(commutator(multiply(inverse(X_167),X_135),inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))))),bind(Z0,$fot(commutator(multiply(inverse(X_135),X_167),multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))))]]) ).
cnf(refute_0_6114,plain,
( commutator(multiply(inverse(X_167),X_135),inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))) != commutator(multiply(inverse(X_135),X_167),multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))
| commutator(multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))) = commutator(multiply(inverse(X_135),X_167),multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))),commutator(multiply(inverse(X_167),X_135),inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))))) )],[refute_0_6112,refute_0_6113]) ).
cnf(refute_0_6115,plain,
commutator(multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))) = commutator(multiply(inverse(X_135),X_167),multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_167),X_135),inverse(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))),commutator(multiply(inverse(X_135),X_167),multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))) )],[refute_0_5995,refute_0_6114]) ).
cnf(refute_0_6116,plain,
( commutator(multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))) != commutator(multiply(inverse(X_135),X_167),multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))
| identity != commutator(multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135)))))
| identity = commutator(multiply(inverse(X_135),X_167),multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135)))))) ),[1],$fot(commutator(multiply(inverse(X_135),X_167),multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))))]]) ).
cnf(refute_0_6117,plain,
( identity != commutator(multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135)))))
| identity = commutator(multiply(inverse(X_135),X_167),multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135))))),commutator(multiply(inverse(X_135),X_167),multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))) )],[refute_0_6115,refute_0_6116]) ).
cnf(refute_0_6118,plain,
identity = commutator(multiply(inverse(X_135),X_167),multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))),
inference(resolve,[$cnf( $equal(identity,commutator(multiply(multiply(X_135,inverse(X_167)),commutator(X_135,X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(inverse(multiply(multiply(X_135,inverse(X_167)),multiply(multiply(X_135,inverse(X_167)),multiply(X_135,commutator(X_167,X_135))))),multiply(X_135,commutator(X_167,X_135)))))) )],[refute_0_5988,refute_0_6117]) ).
cnf(refute_0_6119,plain,
( identity != commutator(multiply(inverse(X_135),X_167),multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))
| commutator(multiply(inverse(X_135),X_167),multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))) = identity ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(identity)),bind(Y0,$fot(commutator(multiply(inverse(X_135),X_167),multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))))]]) ).
cnf(refute_0_6120,plain,
commutator(multiply(inverse(X_135),X_167),multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))) = identity,
inference(resolve,[$cnf( $equal(identity,commutator(multiply(inverse(X_135),X_167),multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)))) )],[refute_0_6118,refute_0_6119]) ).
cnf(refute_0_6121,plain,
( multiply(commutator(multiply(inverse(X_135),X_167),multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))),multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167)))) != multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))
| commutator(multiply(inverse(X_135),X_167),multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))) != identity
| multiply(identity,multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167)))) = multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(multiply(inverse(X_135),X_167),multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))),multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167)))),multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_6122,plain,
( multiply(commutator(multiply(inverse(X_135),X_167),multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))),multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167)))) != multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))
| multiply(identity,multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167)))) = multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_135),X_167),multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))),identity) )],[refute_0_6120,refute_0_6121]) ).
cnf(refute_0_6123,plain,
multiply(identity,multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167)))) = multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(inverse(X_135),X_167),multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))),multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167)))),multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))) )],[refute_0_5846,refute_0_6122]) ).
cnf(refute_0_6124,plain,
multiply(multiply(inverse(X_167),X_135),commutator(X_135,X_167)) = multiply(inverse(X_167),multiply(X_135,commutator(X_135,X_167))),
inference(subst,[],[associativity:[bind(X,$fot(inverse(X_167))),bind(Y,$fot(X_135)),bind(Z,$fot(commutator(X_135,X_167)))]]) ).
cnf(refute_0_6125,plain,
multiply(commutator(X_135,X_167),identity) = commutator(X_135,X_167),
inference(subst,[],[refute_0_100:[bind(X_16,$fot(commutator(X_135,X_167)))]]) ).
cnf(refute_0_6126,plain,
multiply(inverse(X_167),X_167) = identity,
inference(subst,[],[left_inverse:[bind(X,$fot(X_167))]]) ).
cnf(refute_0_6127,plain,
multiply(X_135,multiply(inverse(X_135),X_167)) = X_167,
inference(subst,[],[refute_0_343:[bind(X,$fot(X_135)),bind(Z,$fot(X_167))]]) ).
cnf(refute_0_6128,plain,
multiply(inverse(X_167),multiply(X_135,multiply(inverse(X_135),X_167))) = multiply(inverse(X_167),multiply(X_135,multiply(inverse(X_135),X_167))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_167),multiply(X_135,multiply(inverse(X_135),X_167))))]]) ).
cnf(refute_0_6129,plain,
( multiply(X_135,multiply(inverse(X_135),X_167)) != X_167
| multiply(inverse(X_167),multiply(X_135,multiply(inverse(X_135),X_167))) != multiply(inverse(X_167),multiply(X_135,multiply(inverse(X_135),X_167)))
| multiply(inverse(X_167),multiply(X_135,multiply(inverse(X_135),X_167))) = multiply(inverse(X_167),X_167) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_167),multiply(X_135,multiply(inverse(X_135),X_167))),multiply(inverse(X_167),multiply(X_135,multiply(inverse(X_135),X_167)))) ),[1,1],$fot(X_167)]]) ).
cnf(refute_0_6130,plain,
( multiply(X_135,multiply(inverse(X_135),X_167)) != X_167
| multiply(inverse(X_167),multiply(X_135,multiply(inverse(X_135),X_167))) = multiply(inverse(X_167),X_167) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_167),multiply(X_135,multiply(inverse(X_135),X_167))),multiply(inverse(X_167),multiply(X_135,multiply(inverse(X_135),X_167)))) )],[refute_0_6128,refute_0_6129]) ).
cnf(refute_0_6131,plain,
multiply(inverse(X_167),multiply(X_135,multiply(inverse(X_135),X_167))) = multiply(inverse(X_167),X_167),
inference(resolve,[$cnf( $equal(multiply(X_135,multiply(inverse(X_135),X_167)),X_167) )],[refute_0_6127,refute_0_6130]) ).
cnf(refute_0_6132,plain,
( multiply(inverse(X_167),X_167) != identity
| multiply(inverse(X_167),multiply(X_135,multiply(inverse(X_135),X_167))) != multiply(inverse(X_167),X_167)
| multiply(inverse(X_167),multiply(X_135,multiply(inverse(X_135),X_167))) = identity ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(X_167),multiply(X_135,multiply(inverse(X_135),X_167))))),bind(Y0,$fot(multiply(inverse(X_167),X_167))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_6133,plain,
( multiply(inverse(X_167),X_167) != identity
| multiply(inverse(X_167),multiply(X_135,multiply(inverse(X_135),X_167))) = identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_167),multiply(X_135,multiply(inverse(X_135),X_167))),multiply(inverse(X_167),X_167)) )],[refute_0_6131,refute_0_6132]) ).
cnf(refute_0_6134,plain,
multiply(inverse(X_167),multiply(X_135,multiply(inverse(X_135),X_167))) = identity,
inference(resolve,[$cnf( $equal(multiply(inverse(X_167),X_167),identity) )],[refute_0_6126,refute_0_6133]) ).
cnf(refute_0_6135,plain,
multiply(multiply(inverse(X_167),X_135),multiply(inverse(X_135),X_167)) = multiply(inverse(X_167),multiply(X_135,multiply(inverse(X_135),X_167))),
inference(subst,[],[associativity:[bind(X,$fot(inverse(X_167))),bind(Y,$fot(X_135)),bind(Z,$fot(multiply(inverse(X_135),X_167)))]]) ).
cnf(refute_0_6136,plain,
( multiply(multiply(inverse(X_167),X_135),multiply(inverse(X_135),X_167)) != multiply(inverse(X_167),multiply(X_135,multiply(inverse(X_135),X_167)))
| multiply(inverse(X_167),multiply(X_135,multiply(inverse(X_135),X_167))) != identity
| multiply(multiply(inverse(X_167),X_135),multiply(inverse(X_135),X_167)) = identity ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(inverse(X_167),X_135),multiply(inverse(X_135),X_167)))),bind(Y0,$fot(multiply(inverse(X_167),multiply(X_135,multiply(inverse(X_135),X_167))))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_6137,plain,
( multiply(inverse(X_167),multiply(X_135,multiply(inverse(X_135),X_167))) != identity
| multiply(multiply(inverse(X_167),X_135),multiply(inverse(X_135),X_167)) = identity ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_167),X_135),multiply(inverse(X_135),X_167)),multiply(inverse(X_167),multiply(X_135,multiply(inverse(X_135),X_167)))) )],[refute_0_6135,refute_0_6136]) ).
cnf(refute_0_6138,plain,
multiply(multiply(inverse(X_167),X_135),multiply(inverse(X_135),X_167)) = identity,
inference(resolve,[$cnf( $equal(multiply(inverse(X_167),multiply(X_135,multiply(inverse(X_135),X_167))),identity) )],[refute_0_6134,refute_0_6137]) ).
cnf(refute_0_6139,plain,
multiply(commutator(X_135,X_167),multiply(multiply(inverse(X_167),X_135),multiply(inverse(X_135),X_167))) = multiply(commutator(X_135,X_167),multiply(multiply(inverse(X_167),X_135),multiply(inverse(X_135),X_167))),
introduced(tautology,[refl,[$fot(multiply(commutator(X_135,X_167),multiply(multiply(inverse(X_167),X_135),multiply(inverse(X_135),X_167))))]]) ).
cnf(refute_0_6140,plain,
( multiply(multiply(inverse(X_167),X_135),multiply(inverse(X_135),X_167)) != identity
| multiply(commutator(X_135,X_167),multiply(multiply(inverse(X_167),X_135),multiply(inverse(X_135),X_167))) != multiply(commutator(X_135,X_167),multiply(multiply(inverse(X_167),X_135),multiply(inverse(X_135),X_167)))
| multiply(commutator(X_135,X_167),multiply(multiply(inverse(X_167),X_135),multiply(inverse(X_135),X_167))) = multiply(commutator(X_135,X_167),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_135,X_167),multiply(multiply(inverse(X_167),X_135),multiply(inverse(X_135),X_167))),multiply(commutator(X_135,X_167),multiply(multiply(inverse(X_167),X_135),multiply(inverse(X_135),X_167)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_6141,plain,
( multiply(multiply(inverse(X_167),X_135),multiply(inverse(X_135),X_167)) != identity
| multiply(commutator(X_135,X_167),multiply(multiply(inverse(X_167),X_135),multiply(inverse(X_135),X_167))) = multiply(commutator(X_135,X_167),identity) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_135,X_167),multiply(multiply(inverse(X_167),X_135),multiply(inverse(X_135),X_167))),multiply(commutator(X_135,X_167),multiply(multiply(inverse(X_167),X_135),multiply(inverse(X_135),X_167)))) )],[refute_0_6139,refute_0_6140]) ).
cnf(refute_0_6142,plain,
multiply(commutator(X_135,X_167),multiply(multiply(inverse(X_167),X_135),multiply(inverse(X_135),X_167))) = multiply(commutator(X_135,X_167),identity),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_167),X_135),multiply(inverse(X_135),X_167)),identity) )],[refute_0_6138,refute_0_6141]) ).
cnf(refute_0_6143,plain,
( multiply(commutator(X_135,X_167),multiply(multiply(inverse(X_167),X_135),multiply(inverse(X_135),X_167))) != multiply(commutator(X_135,X_167),identity)
| multiply(commutator(X_135,X_167),identity) != commutator(X_135,X_167)
| multiply(commutator(X_135,X_167),multiply(multiply(inverse(X_167),X_135),multiply(inverse(X_135),X_167))) = commutator(X_135,X_167) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_135,X_167),multiply(multiply(inverse(X_167),X_135),multiply(inverse(X_135),X_167))))),bind(Y0,$fot(multiply(commutator(X_135,X_167),identity))),bind(Z0,$fot(commutator(X_135,X_167)))]]) ).
cnf(refute_0_6144,plain,
( multiply(commutator(X_135,X_167),identity) != commutator(X_135,X_167)
| multiply(commutator(X_135,X_167),multiply(multiply(inverse(X_167),X_135),multiply(inverse(X_135),X_167))) = commutator(X_135,X_167) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_135,X_167),multiply(multiply(inverse(X_167),X_135),multiply(inverse(X_135),X_167))),multiply(commutator(X_135,X_167),identity)) )],[refute_0_6142,refute_0_6143]) ).
cnf(refute_0_6145,plain,
multiply(commutator(X_135,X_167),multiply(multiply(inverse(X_167),X_135),multiply(inverse(X_135),X_167))) = commutator(X_135,X_167),
inference(resolve,[$cnf( $equal(multiply(commutator(X_135,X_167),identity),commutator(X_135,X_167)) )],[refute_0_6125,refute_0_6144]) ).
cnf(refute_0_6146,plain,
multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167)) = multiply(commutator(X_135,X_167),multiply(multiply(inverse(X_167),X_135),multiply(inverse(X_135),X_167))),
inference(subst,[],[associativity:[bind(X,$fot(commutator(X_135,X_167))),bind(Y,$fot(multiply(inverse(X_167),X_135))),bind(Z,$fot(multiply(inverse(X_135),X_167)))]]) ).
cnf(refute_0_6147,plain,
( multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167)) != multiply(commutator(X_135,X_167),multiply(multiply(inverse(X_167),X_135),multiply(inverse(X_135),X_167)))
| multiply(commutator(X_135,X_167),multiply(multiply(inverse(X_167),X_135),multiply(inverse(X_135),X_167))) != commutator(X_135,X_167)
| multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167)) = commutator(X_135,X_167) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167)))),bind(Y0,$fot(multiply(commutator(X_135,X_167),multiply(multiply(inverse(X_167),X_135),multiply(inverse(X_135),X_167))))),bind(Z0,$fot(commutator(X_135,X_167)))]]) ).
cnf(refute_0_6148,plain,
( multiply(commutator(X_135,X_167),multiply(multiply(inverse(X_167),X_135),multiply(inverse(X_135),X_167))) != commutator(X_135,X_167)
| multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167)) = commutator(X_135,X_167) ),
inference(resolve,[$cnf( $equal(multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167)),multiply(commutator(X_135,X_167),multiply(multiply(inverse(X_167),X_135),multiply(inverse(X_135),X_167)))) )],[refute_0_6146,refute_0_6147]) ).
cnf(refute_0_6149,plain,
multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167)) = commutator(X_135,X_167),
inference(resolve,[$cnf( $equal(multiply(commutator(X_135,X_167),multiply(multiply(inverse(X_167),X_135),multiply(inverse(X_135),X_167))),commutator(X_135,X_167)) )],[refute_0_6145,refute_0_6148]) ).
cnf(refute_0_6150,plain,
multiply(multiply(inverse(X_167),X_135),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167))) = multiply(multiply(inverse(X_167),X_135),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167))),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(X_167),X_135),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167))))]]) ).
cnf(refute_0_6151,plain,
( multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167)) != commutator(X_135,X_167)
| multiply(multiply(inverse(X_167),X_135),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167))) != multiply(multiply(inverse(X_167),X_135),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167)))
| multiply(multiply(inverse(X_167),X_135),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167))) = multiply(multiply(inverse(X_167),X_135),commutator(X_135,X_167)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_167),X_135),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167))),multiply(multiply(inverse(X_167),X_135),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167)))) ),[1,1],$fot(commutator(X_135,X_167))]]) ).
cnf(refute_0_6152,plain,
( multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167)) != commutator(X_135,X_167)
| multiply(multiply(inverse(X_167),X_135),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167))) = multiply(multiply(inverse(X_167),X_135),commutator(X_135,X_167)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_167),X_135),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167))),multiply(multiply(inverse(X_167),X_135),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167)))) )],[refute_0_6150,refute_0_6151]) ).
cnf(refute_0_6153,plain,
multiply(multiply(inverse(X_167),X_135),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167))) = multiply(multiply(inverse(X_167),X_135),commutator(X_135,X_167)),
inference(resolve,[$cnf( $equal(multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167)),commutator(X_135,X_167)) )],[refute_0_6149,refute_0_6152]) ).
cnf(refute_0_6154,plain,
inverse(multiply(inverse(X_135),X_167)) = multiply(inverse(X_167),X_135),
inference(subst,[],[refute_0_294:[bind(Z,$fot(X_167)),bind(X_61,$fot(X_135))]]) ).
cnf(refute_0_6155,plain,
multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167))) = multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167))),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167))))]]) ).
cnf(refute_0_6156,plain,
( multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167))) != multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167)))
| inverse(multiply(inverse(X_135),X_167)) != multiply(inverse(X_167),X_135)
| multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167))) = multiply(multiply(inverse(X_167),X_135),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167))),multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167)))) ),[1,0],$fot(multiply(inverse(X_167),X_135))]]) ).
cnf(refute_0_6157,plain,
( inverse(multiply(inverse(X_135),X_167)) != multiply(inverse(X_167),X_135)
| multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167))) = multiply(multiply(inverse(X_167),X_135),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167))),multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167)))) )],[refute_0_6155,refute_0_6156]) ).
cnf(refute_0_6158,plain,
multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167))) = multiply(multiply(inverse(X_167),X_135),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_135),X_167)),multiply(inverse(X_167),X_135)) )],[refute_0_6154,refute_0_6157]) ).
cnf(refute_0_6159,plain,
( multiply(multiply(inverse(X_167),X_135),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167))) != multiply(multiply(inverse(X_167),X_135),commutator(X_135,X_167))
| multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167))) != multiply(multiply(inverse(X_167),X_135),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167)))
| multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167))) = multiply(multiply(inverse(X_167),X_135),commutator(X_135,X_167)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167))))),bind(Y0,$fot(multiply(multiply(inverse(X_167),X_135),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167))))),bind(Z0,$fot(multiply(multiply(inverse(X_167),X_135),commutator(X_135,X_167))))]]) ).
cnf(refute_0_6160,plain,
( multiply(multiply(inverse(X_167),X_135),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167))) != multiply(multiply(inverse(X_167),X_135),commutator(X_135,X_167))
| multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167))) = multiply(multiply(inverse(X_167),X_135),commutator(X_135,X_167)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167))),multiply(multiply(inverse(X_167),X_135),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167)))) )],[refute_0_6158,refute_0_6159]) ).
cnf(refute_0_6161,plain,
multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167))) = multiply(multiply(inverse(X_167),X_135),commutator(X_135,X_167)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_167),X_135),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167))),multiply(multiply(inverse(X_167),X_135),commutator(X_135,X_167))) )],[refute_0_6153,refute_0_6160]) ).
cnf(refute_0_6162,plain,
( multiply(multiply(inverse(X_167),X_135),commutator(X_135,X_167)) != multiply(inverse(X_167),multiply(X_135,commutator(X_135,X_167)))
| multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167))) != multiply(multiply(inverse(X_167),X_135),commutator(X_135,X_167))
| multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167))) = multiply(inverse(X_167),multiply(X_135,commutator(X_135,X_167))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167))))),bind(Y0,$fot(multiply(multiply(inverse(X_167),X_135),commutator(X_135,X_167)))),bind(Z0,$fot(multiply(inverse(X_167),multiply(X_135,commutator(X_135,X_167)))))]]) ).
cnf(refute_0_6163,plain,
( multiply(multiply(inverse(X_167),X_135),commutator(X_135,X_167)) != multiply(inverse(X_167),multiply(X_135,commutator(X_135,X_167)))
| multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167))) = multiply(inverse(X_167),multiply(X_135,commutator(X_135,X_167))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167))),multiply(multiply(inverse(X_167),X_135),commutator(X_135,X_167))) )],[refute_0_6161,refute_0_6162]) ).
cnf(refute_0_6164,plain,
multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167))) = multiply(inverse(X_167),multiply(X_135,commutator(X_135,X_167))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_167),X_135),commutator(X_135,X_167)),multiply(inverse(X_167),multiply(X_135,commutator(X_135,X_167)))) )],[refute_0_6124,refute_0_6163]) ).
cnf(refute_0_6165,plain,
multiply(identity,multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167)))) = multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167))),
inference(subst,[],[left_identity:[bind(X,$fot(multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167)))))]]) ).
cnf(refute_0_6166,plain,
( multiply(identity,multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167)))) != multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167)))
| multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167))) != multiply(inverse(X_167),multiply(X_135,commutator(X_135,X_167)))
| multiply(identity,multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167)))) = multiply(inverse(X_167),multiply(X_135,commutator(X_135,X_167))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(identity,multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167)))))),bind(Y0,$fot(multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167))))),bind(Z0,$fot(multiply(inverse(X_167),multiply(X_135,commutator(X_135,X_167)))))]]) ).
cnf(refute_0_6167,plain,
( multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167))) != multiply(inverse(X_167),multiply(X_135,commutator(X_135,X_167)))
| multiply(identity,multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167)))) = multiply(inverse(X_167),multiply(X_135,commutator(X_135,X_167))) ),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167)))),multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167)))) )],[refute_0_6165,refute_0_6166]) ).
cnf(refute_0_6168,plain,
multiply(identity,multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167)))) = multiply(inverse(X_167),multiply(X_135,commutator(X_135,X_167))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167))),multiply(inverse(X_167),multiply(X_135,commutator(X_135,X_167)))) )],[refute_0_6164,refute_0_6167]) ).
cnf(refute_0_6169,plain,
( multiply(identity,multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167)))) != multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))
| multiply(identity,multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167)))) != multiply(inverse(X_167),multiply(X_135,commutator(X_135,X_167)))
| multiply(inverse(X_167),multiply(X_135,commutator(X_135,X_167))) = multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167)))),multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))) ),[0],$fot(multiply(inverse(X_167),multiply(X_135,commutator(X_135,X_167))))]]) ).
cnf(refute_0_6170,plain,
( multiply(identity,multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167)))) != multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))
| multiply(inverse(X_167),multiply(X_135,commutator(X_135,X_167))) = multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)) ),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167)))),multiply(inverse(X_167),multiply(X_135,commutator(X_135,X_167)))) )],[refute_0_6168,refute_0_6169]) ).
cnf(refute_0_6171,plain,
multiply(inverse(X_167),multiply(X_135,commutator(X_135,X_167))) = multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(inverse(multiply(inverse(X_135),X_167)),multiply(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)),multiply(inverse(X_135),X_167)))),multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))) )],[refute_0_6123,refute_0_6170]) ).
cnf(refute_0_6172,plain,
( multiply(inverse(X_167),multiply(X_135,commutator(X_135,X_167))) != multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))
| multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)) = multiply(inverse(X_167),multiply(X_135,commutator(X_135,X_167))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(inverse(X_167),multiply(X_135,commutator(X_135,X_167))))),bind(Y0,$fot(multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))))]]) ).
cnf(refute_0_6173,plain,
multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135)) = multiply(inverse(X_167),multiply(X_135,commutator(X_135,X_167))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_167),multiply(X_135,commutator(X_135,X_167))),multiply(commutator(X_135,X_167),multiply(inverse(X_167),X_135))) )],[refute_0_6171,refute_0_6172]) ).
cnf(refute_0_6174,plain,
multiply(commutator(X_455,X_454),multiply(inverse(X_454),X_455)) = multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),
inference(subst,[],[refute_0_6173:[bind(X_135,$fot(X_455)),bind(X_167,$fot(X_454))]]) ).
cnf(refute_0_6175,plain,
multiply(inverse(multiply(X_454,commutator(X_454,X_455))),X_455) = multiply(commutator(X_455,X_454),multiply(inverse(X_454),X_455)),
inference(subst,[],[refute_0_666:[bind(X_366,$fot(X_455)),bind(X_367,$fot(X_454)),bind(X_65,$fot(X_454)),bind(X_66,$fot(X_455))]]) ).
cnf(refute_0_6176,plain,
( multiply(commutator(X_455,X_454),multiply(inverse(X_454),X_455)) != multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))
| multiply(inverse(multiply(X_454,commutator(X_454,X_455))),X_455) != multiply(commutator(X_455,X_454),multiply(inverse(X_454),X_455))
| multiply(inverse(multiply(X_454,commutator(X_454,X_455))),X_455) = multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_454,commutator(X_454,X_455))),X_455))),bind(Y0,$fot(multiply(commutator(X_455,X_454),multiply(inverse(X_454),X_455)))),bind(Z0,$fot(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))))]]) ).
cnf(refute_0_6177,plain,
( multiply(commutator(X_455,X_454),multiply(inverse(X_454),X_455)) != multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))
| multiply(inverse(multiply(X_454,commutator(X_454,X_455))),X_455) = multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_454,commutator(X_454,X_455))),X_455),multiply(commutator(X_455,X_454),multiply(inverse(X_454),X_455))) )],[refute_0_6175,refute_0_6176]) ).
cnf(refute_0_6178,plain,
multiply(inverse(multiply(X_454,commutator(X_454,X_455))),X_455) = multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_455,X_454),multiply(inverse(X_454),X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) )],[refute_0_6174,refute_0_6177]) ).
cnf(refute_0_6179,plain,
commutator(multiply(X_454,inverse(X_455)),multiply(inverse(multiply(X_454,commutator(X_454,X_455))),X_455)) = commutator(multiply(X_454,inverse(X_455)),multiply(inverse(multiply(X_454,commutator(X_454,X_455))),X_455)),
introduced(tautology,[refl,[$fot(commutator(multiply(X_454,inverse(X_455)),multiply(inverse(multiply(X_454,commutator(X_454,X_455))),X_455)))]]) ).
cnf(refute_0_6180,plain,
( multiply(inverse(multiply(X_454,commutator(X_454,X_455))),X_455) != multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))
| commutator(multiply(X_454,inverse(X_455)),multiply(inverse(multiply(X_454,commutator(X_454,X_455))),X_455)) != commutator(multiply(X_454,inverse(X_455)),multiply(inverse(multiply(X_454,commutator(X_454,X_455))),X_455))
| commutator(multiply(X_454,inverse(X_455)),multiply(inverse(multiply(X_454,commutator(X_454,X_455))),X_455)) = commutator(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_454,inverse(X_455)),multiply(inverse(multiply(X_454,commutator(X_454,X_455))),X_455)),commutator(multiply(X_454,inverse(X_455)),multiply(inverse(multiply(X_454,commutator(X_454,X_455))),X_455))) ),[1,1],$fot(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))))]]) ).
cnf(refute_0_6181,plain,
( multiply(inverse(multiply(X_454,commutator(X_454,X_455))),X_455) != multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))
| commutator(multiply(X_454,inverse(X_455)),multiply(inverse(multiply(X_454,commutator(X_454,X_455))),X_455)) = commutator(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_454,inverse(X_455)),multiply(inverse(multiply(X_454,commutator(X_454,X_455))),X_455)),commutator(multiply(X_454,inverse(X_455)),multiply(inverse(multiply(X_454,commutator(X_454,X_455))),X_455))) )],[refute_0_6179,refute_0_6180]) ).
cnf(refute_0_6182,plain,
commutator(multiply(X_454,inverse(X_455)),multiply(inverse(multiply(X_454,commutator(X_454,X_455))),X_455)) = commutator(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_454,commutator(X_454,X_455))),X_455),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) )],[refute_0_6178,refute_0_6181]) ).
cnf(refute_0_6183,plain,
( commutator(multiply(X_454,inverse(X_455)),multiply(inverse(multiply(X_454,commutator(X_454,X_455))),X_455)) != commutator(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))))
| identity != commutator(multiply(X_454,inverse(X_455)),multiply(inverse(multiply(X_454,commutator(X_454,X_455))),X_455))
| identity = commutator(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(multiply(X_454,inverse(X_455)),multiply(inverse(multiply(X_454,commutator(X_454,X_455))),X_455))) ),[1],$fot(commutator(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))))]]) ).
cnf(refute_0_6184,plain,
( identity != commutator(multiply(X_454,inverse(X_455)),multiply(inverse(multiply(X_454,commutator(X_454,X_455))),X_455))
| identity = commutator(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_454,inverse(X_455)),multiply(inverse(multiply(X_454,commutator(X_454,X_455))),X_455)),commutator(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))))) )],[refute_0_6182,refute_0_6183]) ).
cnf(refute_0_6185,plain,
identity = commutator(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),
inference(resolve,[$cnf( $equal(identity,commutator(multiply(X_454,inverse(X_455)),multiply(inverse(multiply(X_454,commutator(X_454,X_455))),X_455))) )],[refute_0_5814,refute_0_6184]) ).
cnf(refute_0_6186,plain,
( identity != commutator(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))))
| commutator(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) = identity ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(identity)),bind(Y0,$fot(commutator(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))))))]]) ).
cnf(refute_0_6187,plain,
commutator(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) = identity,
inference(resolve,[$cnf( $equal(identity,commutator(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))))) )],[refute_0_6185,refute_0_6186]) ).
cnf(refute_0_6188,plain,
( multiply(commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) != inverse(multiply(multiply(X_454,inverse(X_455)),multiply(commutator(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))))
| commutator(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) != identity
| multiply(commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) = inverse(multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),inverse(multiply(multiply(X_454,inverse(X_455)),multiply(commutator(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))))) ),[1,0,1,0],$fot(identity)]]) ).
cnf(refute_0_6189,plain,
( multiply(commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) != inverse(multiply(multiply(X_454,inverse(X_455)),multiply(commutator(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))))
| multiply(commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) = inverse(multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),identity) )],[refute_0_6187,refute_0_6188]) ).
cnf(refute_0_6190,plain,
multiply(commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) = inverse(multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),inverse(multiply(multiply(X_454,inverse(X_455)),multiply(commutator(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))))) )],[refute_0_5686,refute_0_6189]) ).
cnf(refute_0_6191,plain,
multiply(identity,multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) = multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),
inference(subst,[],[left_identity:[bind(X,$fot(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))))]]) ).
cnf(refute_0_6192,plain,
commutator(multiply(X_455,X_455),commutator(X_454,X_662)) = identity,
inference(subst,[],[refute_0_4833:[bind(X_309,$fot(X_455)),bind(X_310,$fot(X_454)),bind(X_66,$fot(X_662))]]) ).
cnf(refute_0_6193,plain,
commutator(commutator(multiply(X_455,X_455),X_454),X_662) = commutator(multiply(X_455,X_455),commutator(X_454,X_662)),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(multiply(X_455,X_455))),bind(Y,$fot(X_454)),bind(Z,$fot(X_662))]]) ).
cnf(refute_0_6194,plain,
( commutator(multiply(X_455,X_455),commutator(X_454,X_662)) != identity
| commutator(commutator(multiply(X_455,X_455),X_454),X_662) != commutator(multiply(X_455,X_455),commutator(X_454,X_662))
| commutator(commutator(multiply(X_455,X_455),X_454),X_662) = identity ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(commutator(multiply(X_455,X_455),X_454),X_662))),bind(Y0,$fot(commutator(multiply(X_455,X_455),commutator(X_454,X_662)))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_6195,plain,
( commutator(multiply(X_455,X_455),commutator(X_454,X_662)) != identity
| commutator(commutator(multiply(X_455,X_455),X_454),X_662) = identity ),
inference(resolve,[$cnf( $equal(commutator(commutator(multiply(X_455,X_455),X_454),X_662),commutator(multiply(X_455,X_455),commutator(X_454,X_662))) )],[refute_0_6193,refute_0_6194]) ).
cnf(refute_0_6196,plain,
commutator(commutator(multiply(X_455,X_455),X_454),X_662) = identity,
inference(resolve,[$cnf( $equal(commutator(multiply(X_455,X_455),commutator(X_454,X_662)),identity) )],[refute_0_6192,refute_0_6195]) ).
cnf(refute_0_6197,plain,
multiply(X_90,multiply(commutator(multiply(X_568,X_568),X_566),inverse(X_90))) = multiply(commutator(multiply(X_568,X_568),X_566),commutator(X_90,commutator(multiply(X_568,X_568),X_566))),
inference(subst,[],[refute_0_933:[bind(X_10,$fot(commutator(multiply(X_568,X_568),X_566)))]]) ).
cnf(refute_0_6198,plain,
identity = commutator(X_90,commutator(multiply(X_568,X_568),X_566)),
inference(subst,[],[refute_0_4840:[bind(Z,$fot(X_566)),bind(X_113,$fot(X_90)),bind(X_397,$fot(X_568))]]) ).
cnf(refute_0_6199,plain,
( identity != commutator(X_90,commutator(multiply(X_568,X_568),X_566))
| commutator(X_90,commutator(multiply(X_568,X_568),X_566)) = identity ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(identity)),bind(Y0,$fot(commutator(X_90,commutator(multiply(X_568,X_568),X_566))))]]) ).
cnf(refute_0_6200,plain,
commutator(X_90,commutator(multiply(X_568,X_568),X_566)) = identity,
inference(resolve,[$cnf( $equal(identity,commutator(X_90,commutator(multiply(X_568,X_568),X_566))) )],[refute_0_6198,refute_0_6199]) ).
cnf(refute_0_6201,plain,
( multiply(X_90,multiply(commutator(multiply(X_568,X_568),X_566),inverse(X_90))) != multiply(commutator(multiply(X_568,X_568),X_566),commutator(X_90,commutator(multiply(X_568,X_568),X_566)))
| commutator(X_90,commutator(multiply(X_568,X_568),X_566)) != identity
| multiply(X_90,multiply(commutator(multiply(X_568,X_568),X_566),inverse(X_90))) = multiply(commutator(multiply(X_568,X_568),X_566),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_90,multiply(commutator(multiply(X_568,X_568),X_566),inverse(X_90))),multiply(commutator(multiply(X_568,X_568),X_566),commutator(X_90,commutator(multiply(X_568,X_568),X_566)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_6202,plain,
( multiply(X_90,multiply(commutator(multiply(X_568,X_568),X_566),inverse(X_90))) != multiply(commutator(multiply(X_568,X_568),X_566),commutator(X_90,commutator(multiply(X_568,X_568),X_566)))
| multiply(X_90,multiply(commutator(multiply(X_568,X_568),X_566),inverse(X_90))) = multiply(commutator(multiply(X_568,X_568),X_566),identity) ),
inference(resolve,[$cnf( $equal(commutator(X_90,commutator(multiply(X_568,X_568),X_566)),identity) )],[refute_0_6200,refute_0_6201]) ).
cnf(refute_0_6203,plain,
multiply(X_90,multiply(commutator(multiply(X_568,X_568),X_566),inverse(X_90))) = multiply(commutator(multiply(X_568,X_568),X_566),identity),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(commutator(multiply(X_568,X_568),X_566),inverse(X_90))),multiply(commutator(multiply(X_568,X_568),X_566),commutator(X_90,commutator(multiply(X_568,X_568),X_566)))) )],[refute_0_6197,refute_0_6202]) ).
cnf(refute_0_6204,plain,
multiply(commutator(multiply(X_568,X_568),X_566),inverse(X_90)) = inverse(multiply(X_90,commutator(X_566,multiply(X_568,X_568)))),
inference(subst,[],[refute_0_378:[bind(X_58,$fot(X_90)),bind(X_65,$fot(multiply(X_568,X_568))),bind(X_66,$fot(X_566))]]) ).
cnf(refute_0_6205,plain,
multiply(X_90,multiply(commutator(multiply(X_568,X_568),X_566),inverse(X_90))) = multiply(X_90,multiply(commutator(multiply(X_568,X_568),X_566),inverse(X_90))),
introduced(tautology,[refl,[$fot(multiply(X_90,multiply(commutator(multiply(X_568,X_568),X_566),inverse(X_90))))]]) ).
cnf(refute_0_6206,plain,
( multiply(X_90,multiply(commutator(multiply(X_568,X_568),X_566),inverse(X_90))) != multiply(X_90,multiply(commutator(multiply(X_568,X_568),X_566),inverse(X_90)))
| multiply(commutator(multiply(X_568,X_568),X_566),inverse(X_90)) != inverse(multiply(X_90,commutator(X_566,multiply(X_568,X_568))))
| multiply(X_90,multiply(commutator(multiply(X_568,X_568),X_566),inverse(X_90))) = multiply(X_90,inverse(multiply(X_90,commutator(X_566,multiply(X_568,X_568))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_90,multiply(commutator(multiply(X_568,X_568),X_566),inverse(X_90))),multiply(X_90,multiply(commutator(multiply(X_568,X_568),X_566),inverse(X_90)))) ),[1,1],$fot(inverse(multiply(X_90,commutator(X_566,multiply(X_568,X_568)))))]]) ).
cnf(refute_0_6207,plain,
( multiply(commutator(multiply(X_568,X_568),X_566),inverse(X_90)) != inverse(multiply(X_90,commutator(X_566,multiply(X_568,X_568))))
| multiply(X_90,multiply(commutator(multiply(X_568,X_568),X_566),inverse(X_90))) = multiply(X_90,inverse(multiply(X_90,commutator(X_566,multiply(X_568,X_568))))) ),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(commutator(multiply(X_568,X_568),X_566),inverse(X_90))),multiply(X_90,multiply(commutator(multiply(X_568,X_568),X_566),inverse(X_90)))) )],[refute_0_6205,refute_0_6206]) ).
cnf(refute_0_6208,plain,
multiply(X_90,multiply(commutator(multiply(X_568,X_568),X_566),inverse(X_90))) = multiply(X_90,inverse(multiply(X_90,commutator(X_566,multiply(X_568,X_568))))),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_568,X_568),X_566),inverse(X_90)),inverse(multiply(X_90,commutator(X_566,multiply(X_568,X_568))))) )],[refute_0_6204,refute_0_6207]) ).
cnf(refute_0_6209,plain,
( multiply(X_90,multiply(commutator(multiply(X_568,X_568),X_566),inverse(X_90))) != multiply(X_90,inverse(multiply(X_90,commutator(X_566,multiply(X_568,X_568)))))
| multiply(X_90,multiply(commutator(multiply(X_568,X_568),X_566),inverse(X_90))) != multiply(commutator(multiply(X_568,X_568),X_566),identity)
| multiply(X_90,inverse(multiply(X_90,commutator(X_566,multiply(X_568,X_568))))) = multiply(commutator(multiply(X_568,X_568),X_566),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_90,multiply(commutator(multiply(X_568,X_568),X_566),inverse(X_90))),multiply(commutator(multiply(X_568,X_568),X_566),identity)) ),[0],$fot(multiply(X_90,inverse(multiply(X_90,commutator(X_566,multiply(X_568,X_568))))))]]) ).
cnf(refute_0_6210,plain,
( multiply(X_90,multiply(commutator(multiply(X_568,X_568),X_566),inverse(X_90))) != multiply(commutator(multiply(X_568,X_568),X_566),identity)
| multiply(X_90,inverse(multiply(X_90,commutator(X_566,multiply(X_568,X_568))))) = multiply(commutator(multiply(X_568,X_568),X_566),identity) ),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(commutator(multiply(X_568,X_568),X_566),inverse(X_90))),multiply(X_90,inverse(multiply(X_90,commutator(X_566,multiply(X_568,X_568)))))) )],[refute_0_6208,refute_0_6209]) ).
cnf(refute_0_6211,plain,
multiply(identity,commutator(multiply(X_568,X_568),X_566)) = commutator(multiply(X_568,X_568),X_566),
inference(subst,[],[left_identity:[bind(X,$fot(commutator(multiply(X_568,X_568),X_566)))]]) ).
cnf(refute_0_6212,plain,
multiply(X,commutator(multiply(X_568,X_568),X_566)) = multiply(commutator(multiply(X_568,X_568),X_566),multiply(X,commutator(X,commutator(multiply(X_568,X_568),X_566)))),
inference(subst,[],[refute_0_194:[bind(Y,$fot(commutator(multiply(X_568,X_568),X_566)))]]) ).
cnf(refute_0_6213,plain,
identity = commutator(X,commutator(multiply(X_568,X_568),X_566)),
inference(subst,[],[refute_0_4840:[bind(Z,$fot(X_566)),bind(X_113,$fot(X)),bind(X_397,$fot(X_568))]]) ).
cnf(refute_0_6214,plain,
( identity != commutator(X,commutator(multiply(X_568,X_568),X_566))
| commutator(X,commutator(multiply(X_568,X_568),X_566)) = identity ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(identity)),bind(Y0,$fot(commutator(X,commutator(multiply(X_568,X_568),X_566))))]]) ).
cnf(refute_0_6215,plain,
commutator(X,commutator(multiply(X_568,X_568),X_566)) = identity,
inference(resolve,[$cnf( $equal(identity,commutator(X,commutator(multiply(X_568,X_568),X_566))) )],[refute_0_6213,refute_0_6214]) ).
cnf(refute_0_6216,plain,
( multiply(X,commutator(multiply(X_568,X_568),X_566)) != multiply(commutator(multiply(X_568,X_568),X_566),multiply(X,commutator(X,commutator(multiply(X_568,X_568),X_566))))
| commutator(X,commutator(multiply(X_568,X_568),X_566)) != identity
| multiply(X,commutator(multiply(X_568,X_568),X_566)) = multiply(commutator(multiply(X_568,X_568),X_566),multiply(X,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,commutator(multiply(X_568,X_568),X_566)),multiply(commutator(multiply(X_568,X_568),X_566),multiply(X,commutator(X,commutator(multiply(X_568,X_568),X_566))))) ),[1,1,1],$fot(identity)]]) ).
cnf(refute_0_6217,plain,
( multiply(X,commutator(multiply(X_568,X_568),X_566)) != multiply(commutator(multiply(X_568,X_568),X_566),multiply(X,commutator(X,commutator(multiply(X_568,X_568),X_566))))
| multiply(X,commutator(multiply(X_568,X_568),X_566)) = multiply(commutator(multiply(X_568,X_568),X_566),multiply(X,identity)) ),
inference(resolve,[$cnf( $equal(commutator(X,commutator(multiply(X_568,X_568),X_566)),identity) )],[refute_0_6215,refute_0_6216]) ).
cnf(refute_0_6218,plain,
multiply(X,commutator(multiply(X_568,X_568),X_566)) = multiply(commutator(multiply(X_568,X_568),X_566),multiply(X,identity)),
inference(resolve,[$cnf( $equal(multiply(X,commutator(multiply(X_568,X_568),X_566)),multiply(commutator(multiply(X_568,X_568),X_566),multiply(X,commutator(X,commutator(multiply(X_568,X_568),X_566))))) )],[refute_0_6212,refute_0_6217]) ).
cnf(refute_0_6219,plain,
multiply(commutator(multiply(X_568,X_568),X_566),multiply(X,identity)) = multiply(commutator(multiply(X_568,X_568),X_566),multiply(X,identity)),
introduced(tautology,[refl,[$fot(multiply(commutator(multiply(X_568,X_568),X_566),multiply(X,identity)))]]) ).
cnf(refute_0_6220,plain,
( multiply(X,identity) != X
| multiply(commutator(multiply(X_568,X_568),X_566),multiply(X,identity)) != multiply(commutator(multiply(X_568,X_568),X_566),multiply(X,identity))
| multiply(commutator(multiply(X_568,X_568),X_566),multiply(X,identity)) = multiply(commutator(multiply(X_568,X_568),X_566),X) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(multiply(X_568,X_568),X_566),multiply(X,identity)),multiply(commutator(multiply(X_568,X_568),X_566),multiply(X,identity))) ),[1,1],$fot(X)]]) ).
cnf(refute_0_6221,plain,
( multiply(X,identity) != X
| multiply(commutator(multiply(X_568,X_568),X_566),multiply(X,identity)) = multiply(commutator(multiply(X_568,X_568),X_566),X) ),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_568,X_568),X_566),multiply(X,identity)),multiply(commutator(multiply(X_568,X_568),X_566),multiply(X,identity))) )],[refute_0_6219,refute_0_6220]) ).
cnf(refute_0_6222,plain,
multiply(commutator(multiply(X_568,X_568),X_566),multiply(X,identity)) = multiply(commutator(multiply(X_568,X_568),X_566),X),
inference(resolve,[$cnf( $equal(multiply(X,identity),X) )],[refute_0_704,refute_0_6221]) ).
cnf(refute_0_6223,plain,
( multiply(X,commutator(multiply(X_568,X_568),X_566)) != multiply(commutator(multiply(X_568,X_568),X_566),multiply(X,identity))
| multiply(commutator(multiply(X_568,X_568),X_566),multiply(X,identity)) != multiply(commutator(multiply(X_568,X_568),X_566),X)
| multiply(X,commutator(multiply(X_568,X_568),X_566)) = multiply(commutator(multiply(X_568,X_568),X_566),X) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,commutator(multiply(X_568,X_568),X_566)),multiply(commutator(multiply(X_568,X_568),X_566),X)) ),[0],$fot(multiply(commutator(multiply(X_568,X_568),X_566),multiply(X,identity)))]]) ).
cnf(refute_0_6224,plain,
( multiply(X,commutator(multiply(X_568,X_568),X_566)) != multiply(commutator(multiply(X_568,X_568),X_566),multiply(X,identity))
| multiply(X,commutator(multiply(X_568,X_568),X_566)) = multiply(commutator(multiply(X_568,X_568),X_566),X) ),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_568,X_568),X_566),multiply(X,identity)),multiply(commutator(multiply(X_568,X_568),X_566),X)) )],[refute_0_6222,refute_0_6223]) ).
cnf(refute_0_6225,plain,
multiply(X,commutator(multiply(X_568,X_568),X_566)) = multiply(commutator(multiply(X_568,X_568),X_566),X),
inference(resolve,[$cnf( $equal(multiply(X,commutator(multiply(X_568,X_568),X_566)),multiply(commutator(multiply(X_568,X_568),X_566),multiply(X,identity))) )],[refute_0_6218,refute_0_6224]) ).
cnf(refute_0_6226,plain,
( multiply(X,commutator(multiply(X_568,X_568),X_566)) != multiply(commutator(multiply(X_568,X_568),X_566),X)
| multiply(commutator(multiply(X_568,X_568),X_566),X) = multiply(X,commutator(multiply(X_568,X_568),X_566)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(X,commutator(multiply(X_568,X_568),X_566)))),bind(Y0,$fot(multiply(commutator(multiply(X_568,X_568),X_566),X)))]]) ).
cnf(refute_0_6227,plain,
multiply(commutator(multiply(X_568,X_568),X_566),X) = multiply(X,commutator(multiply(X_568,X_568),X_566)),
inference(resolve,[$cnf( $equal(multiply(X,commutator(multiply(X_568,X_568),X_566)),multiply(commutator(multiply(X_568,X_568),X_566),X)) )],[refute_0_6225,refute_0_6226]) ).
cnf(refute_0_6228,plain,
multiply(commutator(multiply(X_568,X_568),X_566),identity) = multiply(identity,commutator(multiply(X_568,X_568),X_566)),
inference(subst,[],[refute_0_6227:[bind(X,$fot(identity))]]) ).
cnf(refute_0_6229,plain,
( multiply(commutator(multiply(X_568,X_568),X_566),identity) != multiply(identity,commutator(multiply(X_568,X_568),X_566))
| multiply(identity,commutator(multiply(X_568,X_568),X_566)) != commutator(multiply(X_568,X_568),X_566)
| multiply(commutator(multiply(X_568,X_568),X_566),identity) = commutator(multiply(X_568,X_568),X_566) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(multiply(X_568,X_568),X_566),identity))),bind(Y0,$fot(multiply(identity,commutator(multiply(X_568,X_568),X_566)))),bind(Z0,$fot(commutator(multiply(X_568,X_568),X_566)))]]) ).
cnf(refute_0_6230,plain,
( multiply(identity,commutator(multiply(X_568,X_568),X_566)) != commutator(multiply(X_568,X_568),X_566)
| multiply(commutator(multiply(X_568,X_568),X_566),identity) = commutator(multiply(X_568,X_568),X_566) ),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_568,X_568),X_566),identity),multiply(identity,commutator(multiply(X_568,X_568),X_566))) )],[refute_0_6228,refute_0_6229]) ).
cnf(refute_0_6231,plain,
multiply(commutator(multiply(X_568,X_568),X_566),identity) = commutator(multiply(X_568,X_568),X_566),
inference(resolve,[$cnf( $equal(multiply(identity,commutator(multiply(X_568,X_568),X_566)),commutator(multiply(X_568,X_568),X_566)) )],[refute_0_6211,refute_0_6230]) ).
cnf(refute_0_6232,plain,
( multiply(X_90,inverse(multiply(X_90,commutator(X_566,multiply(X_568,X_568))))) != multiply(commutator(multiply(X_568,X_568),X_566),identity)
| multiply(commutator(multiply(X_568,X_568),X_566),identity) != commutator(multiply(X_568,X_568),X_566)
| multiply(X_90,inverse(multiply(X_90,commutator(X_566,multiply(X_568,X_568))))) = commutator(multiply(X_568,X_568),X_566) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_90,inverse(multiply(X_90,commutator(X_566,multiply(X_568,X_568))))),commutator(multiply(X_568,X_568),X_566)) ),[0],$fot(multiply(commutator(multiply(X_568,X_568),X_566),identity))]]) ).
cnf(refute_0_6233,plain,
( multiply(X_90,inverse(multiply(X_90,commutator(X_566,multiply(X_568,X_568))))) != multiply(commutator(multiply(X_568,X_568),X_566),identity)
| multiply(X_90,inverse(multiply(X_90,commutator(X_566,multiply(X_568,X_568))))) = commutator(multiply(X_568,X_568),X_566) ),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_568,X_568),X_566),identity),commutator(multiply(X_568,X_568),X_566)) )],[refute_0_6231,refute_0_6232]) ).
cnf(refute_0_6234,plain,
( multiply(X_90,multiply(commutator(multiply(X_568,X_568),X_566),inverse(X_90))) != multiply(commutator(multiply(X_568,X_568),X_566),identity)
| multiply(X_90,inverse(multiply(X_90,commutator(X_566,multiply(X_568,X_568))))) = commutator(multiply(X_568,X_568),X_566) ),
inference(resolve,[$cnf( $equal(multiply(X_90,inverse(multiply(X_90,commutator(X_566,multiply(X_568,X_568))))),multiply(commutator(multiply(X_568,X_568),X_566),identity)) )],[refute_0_6210,refute_0_6233]) ).
cnf(refute_0_6235,plain,
multiply(X_90,inverse(multiply(X_90,commutator(X_566,multiply(X_568,X_568))))) = commutator(multiply(X_568,X_568),X_566),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(commutator(multiply(X_568,X_568),X_566),inverse(X_90))),multiply(commutator(multiply(X_568,X_568),X_566),identity)) )],[refute_0_6203,refute_0_6234]) ).
cnf(refute_0_6236,plain,
multiply(X_454,inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455))))) = commutator(multiply(X_455,X_455),X_454),
inference(subst,[],[refute_0_6235:[bind(X_566,$fot(X_454)),bind(X_568,$fot(X_455)),bind(X_90,$fot(X_454))]]) ).
cnf(refute_0_6237,plain,
multiply(X_58,inverse(multiply(X_58,multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512))))))) = inverse(multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),commutator(X_58,multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512))))))),
inference(subst,[],[refute_0_598:[bind(X_10,$fot(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512))))))]]) ).
cnf(refute_0_6238,plain,
identity = commutator(multiply(X_320,multiply(inverse(X_109),inverse(X_320))),multiply(inverse(X_109),commutator(inverse(X_109),X_320))),
inference(subst,[],[refute_0_2406:[bind(X_318,$fot(X_320)),bind(X_319,$fot(inverse(X_109)))]]) ).
cnf(refute_0_6239,plain,
commutator(inverse(X_109),X_320) = commutator(X_320,X_109),
inference(subst,[],[refute_0_999:[bind(X_110,$fot(X_320))]]) ).
cnf(refute_0_6240,plain,
( commutator(inverse(X_109),X_320) != commutator(X_320,X_109)
| identity != commutator(multiply(X_320,multiply(inverse(X_109),inverse(X_320))),multiply(inverse(X_109),commutator(inverse(X_109),X_320)))
| identity = commutator(multiply(X_320,multiply(inverse(X_109),inverse(X_320))),multiply(inverse(X_109),commutator(X_320,X_109))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(multiply(X_320,multiply(inverse(X_109),inverse(X_320))),multiply(inverse(X_109),commutator(inverse(X_109),X_320)))) ),[1,1,1],$fot(commutator(X_320,X_109))]]) ).
cnf(refute_0_6241,plain,
( identity != commutator(multiply(X_320,multiply(inverse(X_109),inverse(X_320))),multiply(inverse(X_109),commutator(inverse(X_109),X_320)))
| identity = commutator(multiply(X_320,multiply(inverse(X_109),inverse(X_320))),multiply(inverse(X_109),commutator(X_320,X_109))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_109),X_320),commutator(X_320,X_109)) )],[refute_0_6239,refute_0_6240]) ).
cnf(refute_0_6242,plain,
identity = commutator(multiply(X_320,multiply(inverse(X_109),inverse(X_320))),multiply(inverse(X_109),commutator(X_320,X_109))),
inference(resolve,[$cnf( $equal(identity,commutator(multiply(X_320,multiply(inverse(X_109),inverse(X_320))),multiply(inverse(X_109),commutator(inverse(X_109),X_320)))) )],[refute_0_6238,refute_0_6241]) ).
cnf(refute_0_6243,plain,
commutator(multiply(X_320,inverse(multiply(X_320,X_109))),inverse(multiply(X_109,commutator(X_109,X_320)))) = commutator(multiply(X_109,commutator(X_109,X_320)),multiply(X_320,inverse(multiply(X_320,X_109)))),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(multiply(X_109,commutator(X_109,X_320)))),bind(X_110,$fot(multiply(X_320,inverse(multiply(X_320,X_109)))))]]) ).
cnf(refute_0_6244,plain,
multiply(commutator(X_109,X_320),X_109) = multiply(X_109,commutator(X_109,X_320)),
inference(subst,[],[refute_0_2195:[bind(X_102,$fot(X_320)),bind(X_58,$fot(X_109))]]) ).
cnf(refute_0_6245,plain,
inverse(multiply(commutator(X_109,X_320),X_109)) = inverse(multiply(commutator(X_109,X_320),X_109)),
introduced(tautology,[refl,[$fot(inverse(multiply(commutator(X_109,X_320),X_109)))]]) ).
cnf(refute_0_6246,plain,
( multiply(commutator(X_109,X_320),X_109) != multiply(X_109,commutator(X_109,X_320))
| inverse(multiply(commutator(X_109,X_320),X_109)) != inverse(multiply(commutator(X_109,X_320),X_109))
| inverse(multiply(commutator(X_109,X_320),X_109)) = inverse(multiply(X_109,commutator(X_109,X_320))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(commutator(X_109,X_320),X_109)),inverse(multiply(commutator(X_109,X_320),X_109))) ),[1,0],$fot(multiply(X_109,commutator(X_109,X_320)))]]) ).
cnf(refute_0_6247,plain,
( multiply(commutator(X_109,X_320),X_109) != multiply(X_109,commutator(X_109,X_320))
| inverse(multiply(commutator(X_109,X_320),X_109)) = inverse(multiply(X_109,commutator(X_109,X_320))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_109,X_320),X_109)),inverse(multiply(commutator(X_109,X_320),X_109))) )],[refute_0_6245,refute_0_6246]) ).
cnf(refute_0_6248,plain,
inverse(multiply(commutator(X_109,X_320),X_109)) = inverse(multiply(X_109,commutator(X_109,X_320))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_109,X_320),X_109),multiply(X_109,commutator(X_109,X_320))) )],[refute_0_6244,refute_0_6247]) ).
cnf(refute_0_6249,plain,
multiply(inverse(X_109),commutator(X_320,X_109)) = inverse(multiply(commutator(X_109,X_320),X_109)),
inference(subst,[],[refute_0_331:[bind(X_10,$fot(X_109)),bind(X_65,$fot(X_320)),bind(X_66,$fot(X_109))]]) ).
cnf(refute_0_6250,plain,
( multiply(inverse(X_109),commutator(X_320,X_109)) != inverse(multiply(commutator(X_109,X_320),X_109))
| inverse(multiply(commutator(X_109,X_320),X_109)) != inverse(multiply(X_109,commutator(X_109,X_320)))
| multiply(inverse(X_109),commutator(X_320,X_109)) = inverse(multiply(X_109,commutator(X_109,X_320))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(X_109),commutator(X_320,X_109)))),bind(Y0,$fot(inverse(multiply(commutator(X_109,X_320),X_109)))),bind(Z0,$fot(inverse(multiply(X_109,commutator(X_109,X_320)))))]]) ).
cnf(refute_0_6251,plain,
( inverse(multiply(commutator(X_109,X_320),X_109)) != inverse(multiply(X_109,commutator(X_109,X_320)))
| multiply(inverse(X_109),commutator(X_320,X_109)) = inverse(multiply(X_109,commutator(X_109,X_320))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_109),commutator(X_320,X_109)),inverse(multiply(commutator(X_109,X_320),X_109))) )],[refute_0_6249,refute_0_6250]) ).
cnf(refute_0_6252,plain,
multiply(inverse(X_109),commutator(X_320,X_109)) = inverse(multiply(X_109,commutator(X_109,X_320))),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_109,X_320),X_109)),inverse(multiply(X_109,commutator(X_109,X_320)))) )],[refute_0_6248,refute_0_6251]) ).
cnf(refute_0_6253,plain,
commutator(multiply(X_320,inverse(multiply(X_320,X_109))),multiply(inverse(X_109),commutator(X_320,X_109))) = commutator(multiply(X_320,inverse(multiply(X_320,X_109))),multiply(inverse(X_109),commutator(X_320,X_109))),
introduced(tautology,[refl,[$fot(commutator(multiply(X_320,inverse(multiply(X_320,X_109))),multiply(inverse(X_109),commutator(X_320,X_109))))]]) ).
cnf(refute_0_6254,plain,
( multiply(inverse(X_109),commutator(X_320,X_109)) != inverse(multiply(X_109,commutator(X_109,X_320)))
| commutator(multiply(X_320,inverse(multiply(X_320,X_109))),multiply(inverse(X_109),commutator(X_320,X_109))) != commutator(multiply(X_320,inverse(multiply(X_320,X_109))),multiply(inverse(X_109),commutator(X_320,X_109)))
| commutator(multiply(X_320,inverse(multiply(X_320,X_109))),multiply(inverse(X_109),commutator(X_320,X_109))) = commutator(multiply(X_320,inverse(multiply(X_320,X_109))),inverse(multiply(X_109,commutator(X_109,X_320)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_320,inverse(multiply(X_320,X_109))),multiply(inverse(X_109),commutator(X_320,X_109))),commutator(multiply(X_320,inverse(multiply(X_320,X_109))),multiply(inverse(X_109),commutator(X_320,X_109)))) ),[1,1],$fot(inverse(multiply(X_109,commutator(X_109,X_320))))]]) ).
cnf(refute_0_6255,plain,
( multiply(inverse(X_109),commutator(X_320,X_109)) != inverse(multiply(X_109,commutator(X_109,X_320)))
| commutator(multiply(X_320,inverse(multiply(X_320,X_109))),multiply(inverse(X_109),commutator(X_320,X_109))) = commutator(multiply(X_320,inverse(multiply(X_320,X_109))),inverse(multiply(X_109,commutator(X_109,X_320)))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_320,inverse(multiply(X_320,X_109))),multiply(inverse(X_109),commutator(X_320,X_109))),commutator(multiply(X_320,inverse(multiply(X_320,X_109))),multiply(inverse(X_109),commutator(X_320,X_109)))) )],[refute_0_6253,refute_0_6254]) ).
cnf(refute_0_6256,plain,
commutator(multiply(X_320,inverse(multiply(X_320,X_109))),multiply(inverse(X_109),commutator(X_320,X_109))) = commutator(multiply(X_320,inverse(multiply(X_320,X_109))),inverse(multiply(X_109,commutator(X_109,X_320)))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_109),commutator(X_320,X_109)),inverse(multiply(X_109,commutator(X_109,X_320)))) )],[refute_0_6252,refute_0_6255]) ).
cnf(refute_0_6257,plain,
multiply(inverse(X_109),inverse(X_320)) = inverse(multiply(X_320,X_109)),
inference(subst,[],[refute_0_257:[bind(X_10,$fot(X_109)),bind(X_58,$fot(X_320))]]) ).
cnf(refute_0_6258,plain,
multiply(X_320,multiply(inverse(X_109),inverse(X_320))) = multiply(X_320,multiply(inverse(X_109),inverse(X_320))),
introduced(tautology,[refl,[$fot(multiply(X_320,multiply(inverse(X_109),inverse(X_320))))]]) ).
cnf(refute_0_6259,plain,
( multiply(X_320,multiply(inverse(X_109),inverse(X_320))) != multiply(X_320,multiply(inverse(X_109),inverse(X_320)))
| multiply(inverse(X_109),inverse(X_320)) != inverse(multiply(X_320,X_109))
| multiply(X_320,multiply(inverse(X_109),inverse(X_320))) = multiply(X_320,inverse(multiply(X_320,X_109))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_320,multiply(inverse(X_109),inverse(X_320))),multiply(X_320,multiply(inverse(X_109),inverse(X_320)))) ),[1,1],$fot(inverse(multiply(X_320,X_109)))]]) ).
cnf(refute_0_6260,plain,
( multiply(inverse(X_109),inverse(X_320)) != inverse(multiply(X_320,X_109))
| multiply(X_320,multiply(inverse(X_109),inverse(X_320))) = multiply(X_320,inverse(multiply(X_320,X_109))) ),
inference(resolve,[$cnf( $equal(multiply(X_320,multiply(inverse(X_109),inverse(X_320))),multiply(X_320,multiply(inverse(X_109),inverse(X_320)))) )],[refute_0_6258,refute_0_6259]) ).
cnf(refute_0_6261,plain,
multiply(X_320,multiply(inverse(X_109),inverse(X_320))) = multiply(X_320,inverse(multiply(X_320,X_109))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_109),inverse(X_320)),inverse(multiply(X_320,X_109))) )],[refute_0_6257,refute_0_6260]) ).
cnf(refute_0_6262,plain,
commutator(multiply(X_320,multiply(inverse(X_109),inverse(X_320))),multiply(inverse(X_109),commutator(X_320,X_109))) = commutator(multiply(X_320,multiply(inverse(X_109),inverse(X_320))),multiply(inverse(X_109),commutator(X_320,X_109))),
introduced(tautology,[refl,[$fot(commutator(multiply(X_320,multiply(inverse(X_109),inverse(X_320))),multiply(inverse(X_109),commutator(X_320,X_109))))]]) ).
cnf(refute_0_6263,plain,
( multiply(X_320,multiply(inverse(X_109),inverse(X_320))) != multiply(X_320,inverse(multiply(X_320,X_109)))
| commutator(multiply(X_320,multiply(inverse(X_109),inverse(X_320))),multiply(inverse(X_109),commutator(X_320,X_109))) != commutator(multiply(X_320,multiply(inverse(X_109),inverse(X_320))),multiply(inverse(X_109),commutator(X_320,X_109)))
| commutator(multiply(X_320,multiply(inverse(X_109),inverse(X_320))),multiply(inverse(X_109),commutator(X_320,X_109))) = commutator(multiply(X_320,inverse(multiply(X_320,X_109))),multiply(inverse(X_109),commutator(X_320,X_109))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_320,multiply(inverse(X_109),inverse(X_320))),multiply(inverse(X_109),commutator(X_320,X_109))),commutator(multiply(X_320,multiply(inverse(X_109),inverse(X_320))),multiply(inverse(X_109),commutator(X_320,X_109)))) ),[1,0],$fot(multiply(X_320,inverse(multiply(X_320,X_109))))]]) ).
cnf(refute_0_6264,plain,
( multiply(X_320,multiply(inverse(X_109),inverse(X_320))) != multiply(X_320,inverse(multiply(X_320,X_109)))
| commutator(multiply(X_320,multiply(inverse(X_109),inverse(X_320))),multiply(inverse(X_109),commutator(X_320,X_109))) = commutator(multiply(X_320,inverse(multiply(X_320,X_109))),multiply(inverse(X_109),commutator(X_320,X_109))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_320,multiply(inverse(X_109),inverse(X_320))),multiply(inverse(X_109),commutator(X_320,X_109))),commutator(multiply(X_320,multiply(inverse(X_109),inverse(X_320))),multiply(inverse(X_109),commutator(X_320,X_109)))) )],[refute_0_6262,refute_0_6263]) ).
cnf(refute_0_6265,plain,
commutator(multiply(X_320,multiply(inverse(X_109),inverse(X_320))),multiply(inverse(X_109),commutator(X_320,X_109))) = commutator(multiply(X_320,inverse(multiply(X_320,X_109))),multiply(inverse(X_109),commutator(X_320,X_109))),
inference(resolve,[$cnf( $equal(multiply(X_320,multiply(inverse(X_109),inverse(X_320))),multiply(X_320,inverse(multiply(X_320,X_109)))) )],[refute_0_6261,refute_0_6264]) ).
cnf(refute_0_6266,plain,
( commutator(multiply(X_320,multiply(inverse(X_109),inverse(X_320))),multiply(inverse(X_109),commutator(X_320,X_109))) != commutator(multiply(X_320,inverse(multiply(X_320,X_109))),multiply(inverse(X_109),commutator(X_320,X_109)))
| commutator(multiply(X_320,inverse(multiply(X_320,X_109))),multiply(inverse(X_109),commutator(X_320,X_109))) != commutator(multiply(X_320,inverse(multiply(X_320,X_109))),inverse(multiply(X_109,commutator(X_109,X_320))))
| commutator(multiply(X_320,multiply(inverse(X_109),inverse(X_320))),multiply(inverse(X_109),commutator(X_320,X_109))) = commutator(multiply(X_320,inverse(multiply(X_320,X_109))),inverse(multiply(X_109,commutator(X_109,X_320)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_320,multiply(inverse(X_109),inverse(X_320))),multiply(inverse(X_109),commutator(X_320,X_109))))),bind(Y0,$fot(commutator(multiply(X_320,inverse(multiply(X_320,X_109))),multiply(inverse(X_109),commutator(X_320,X_109))))),bind(Z0,$fot(commutator(multiply(X_320,inverse(multiply(X_320,X_109))),inverse(multiply(X_109,commutator(X_109,X_320))))))]]) ).
cnf(refute_0_6267,plain,
( commutator(multiply(X_320,inverse(multiply(X_320,X_109))),multiply(inverse(X_109),commutator(X_320,X_109))) != commutator(multiply(X_320,inverse(multiply(X_320,X_109))),inverse(multiply(X_109,commutator(X_109,X_320))))
| commutator(multiply(X_320,multiply(inverse(X_109),inverse(X_320))),multiply(inverse(X_109),commutator(X_320,X_109))) = commutator(multiply(X_320,inverse(multiply(X_320,X_109))),inverse(multiply(X_109,commutator(X_109,X_320)))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_320,multiply(inverse(X_109),inverse(X_320))),multiply(inverse(X_109),commutator(X_320,X_109))),commutator(multiply(X_320,inverse(multiply(X_320,X_109))),multiply(inverse(X_109),commutator(X_320,X_109)))) )],[refute_0_6265,refute_0_6266]) ).
cnf(refute_0_6268,plain,
commutator(multiply(X_320,multiply(inverse(X_109),inverse(X_320))),multiply(inverse(X_109),commutator(X_320,X_109))) = commutator(multiply(X_320,inverse(multiply(X_320,X_109))),inverse(multiply(X_109,commutator(X_109,X_320)))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_320,inverse(multiply(X_320,X_109))),multiply(inverse(X_109),commutator(X_320,X_109))),commutator(multiply(X_320,inverse(multiply(X_320,X_109))),inverse(multiply(X_109,commutator(X_109,X_320))))) )],[refute_0_6256,refute_0_6267]) ).
cnf(refute_0_6269,plain,
( commutator(multiply(X_320,multiply(inverse(X_109),inverse(X_320))),multiply(inverse(X_109),commutator(X_320,X_109))) != commutator(multiply(X_320,inverse(multiply(X_320,X_109))),inverse(multiply(X_109,commutator(X_109,X_320))))
| commutator(multiply(X_320,inverse(multiply(X_320,X_109))),inverse(multiply(X_109,commutator(X_109,X_320)))) != commutator(multiply(X_109,commutator(X_109,X_320)),multiply(X_320,inverse(multiply(X_320,X_109))))
| commutator(multiply(X_320,multiply(inverse(X_109),inverse(X_320))),multiply(inverse(X_109),commutator(X_320,X_109))) = commutator(multiply(X_109,commutator(X_109,X_320)),multiply(X_320,inverse(multiply(X_320,X_109)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_320,multiply(inverse(X_109),inverse(X_320))),multiply(inverse(X_109),commutator(X_320,X_109))))),bind(Y0,$fot(commutator(multiply(X_320,inverse(multiply(X_320,X_109))),inverse(multiply(X_109,commutator(X_109,X_320)))))),bind(Z0,$fot(commutator(multiply(X_109,commutator(X_109,X_320)),multiply(X_320,inverse(multiply(X_320,X_109))))))]]) ).
cnf(refute_0_6270,plain,
( commutator(multiply(X_320,inverse(multiply(X_320,X_109))),inverse(multiply(X_109,commutator(X_109,X_320)))) != commutator(multiply(X_109,commutator(X_109,X_320)),multiply(X_320,inverse(multiply(X_320,X_109))))
| commutator(multiply(X_320,multiply(inverse(X_109),inverse(X_320))),multiply(inverse(X_109),commutator(X_320,X_109))) = commutator(multiply(X_109,commutator(X_109,X_320)),multiply(X_320,inverse(multiply(X_320,X_109)))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_320,multiply(inverse(X_109),inverse(X_320))),multiply(inverse(X_109),commutator(X_320,X_109))),commutator(multiply(X_320,inverse(multiply(X_320,X_109))),inverse(multiply(X_109,commutator(X_109,X_320))))) )],[refute_0_6268,refute_0_6269]) ).
cnf(refute_0_6271,plain,
commutator(multiply(X_320,multiply(inverse(X_109),inverse(X_320))),multiply(inverse(X_109),commutator(X_320,X_109))) = commutator(multiply(X_109,commutator(X_109,X_320)),multiply(X_320,inverse(multiply(X_320,X_109)))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_320,inverse(multiply(X_320,X_109))),inverse(multiply(X_109,commutator(X_109,X_320)))),commutator(multiply(X_109,commutator(X_109,X_320)),multiply(X_320,inverse(multiply(X_320,X_109))))) )],[refute_0_6243,refute_0_6270]) ).
cnf(refute_0_6272,plain,
( commutator(multiply(X_320,multiply(inverse(X_109),inverse(X_320))),multiply(inverse(X_109),commutator(X_320,X_109))) != commutator(multiply(X_109,commutator(X_109,X_320)),multiply(X_320,inverse(multiply(X_320,X_109))))
| identity != commutator(multiply(X_320,multiply(inverse(X_109),inverse(X_320))),multiply(inverse(X_109),commutator(X_320,X_109)))
| identity = commutator(multiply(X_109,commutator(X_109,X_320)),multiply(X_320,inverse(multiply(X_320,X_109)))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(multiply(X_320,multiply(inverse(X_109),inverse(X_320))),multiply(inverse(X_109),commutator(X_320,X_109)))) ),[1],$fot(commutator(multiply(X_109,commutator(X_109,X_320)),multiply(X_320,inverse(multiply(X_320,X_109)))))]]) ).
cnf(refute_0_6273,plain,
( identity != commutator(multiply(X_320,multiply(inverse(X_109),inverse(X_320))),multiply(inverse(X_109),commutator(X_320,X_109)))
| identity = commutator(multiply(X_109,commutator(X_109,X_320)),multiply(X_320,inverse(multiply(X_320,X_109)))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_320,multiply(inverse(X_109),inverse(X_320))),multiply(inverse(X_109),commutator(X_320,X_109))),commutator(multiply(X_109,commutator(X_109,X_320)),multiply(X_320,inverse(multiply(X_320,X_109))))) )],[refute_0_6271,refute_0_6272]) ).
cnf(refute_0_6274,plain,
identity = commutator(multiply(X_109,commutator(X_109,X_320)),multiply(X_320,inverse(multiply(X_320,X_109)))),
inference(resolve,[$cnf( $equal(identity,commutator(multiply(X_320,multiply(inverse(X_109),inverse(X_320))),multiply(inverse(X_109),commutator(X_320,X_109)))) )],[refute_0_6242,refute_0_6273]) ).
cnf(refute_0_6275,plain,
identity = commutator(multiply(multiply(X_510,commutator(X_510,X_320)),commutator(multiply(X_510,commutator(X_510,X_320)),X_320)),multiply(X_320,inverse(multiply(X_320,multiply(X_510,commutator(X_510,X_320)))))),
inference(subst,[],[refute_0_6274:[bind(X_109,$fot(multiply(X_510,commutator(X_510,X_320))))]]) ).
cnf(refute_0_6276,plain,
multiply(X_510,X_320) = multiply(X_320,multiply(X_510,commutator(X_510,X_320))),
inference(subst,[],[refute_0_194:[bind(X,$fot(X_510)),bind(Y,$fot(X_320))]]) ).
cnf(refute_0_6277,plain,
( multiply(X_510,X_320) != multiply(X_320,multiply(X_510,commutator(X_510,X_320)))
| multiply(X_320,multiply(X_510,commutator(X_510,X_320))) = multiply(X_510,X_320) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(X_510,X_320))),bind(Y0,$fot(multiply(X_320,multiply(X_510,commutator(X_510,X_320)))))]]) ).
cnf(refute_0_6278,plain,
multiply(X_320,multiply(X_510,commutator(X_510,X_320))) = multiply(X_510,X_320),
inference(resolve,[$cnf( $equal(multiply(X_510,X_320),multiply(X_320,multiply(X_510,commutator(X_510,X_320)))) )],[refute_0_6276,refute_0_6277]) ).
cnf(refute_0_6279,plain,
( multiply(X_320,multiply(X_510,commutator(X_510,X_320))) != multiply(X_510,X_320)
| identity != commutator(multiply(multiply(X_510,commutator(X_510,X_320)),commutator(multiply(X_510,commutator(X_510,X_320)),X_320)),multiply(X_320,inverse(multiply(X_320,multiply(X_510,commutator(X_510,X_320))))))
| identity = commutator(multiply(multiply(X_510,commutator(X_510,X_320)),commutator(multiply(X_510,commutator(X_510,X_320)),X_320)),multiply(X_320,inverse(multiply(X_510,X_320)))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(multiply(multiply(X_510,commutator(X_510,X_320)),commutator(multiply(X_510,commutator(X_510,X_320)),X_320)),multiply(X_320,inverse(multiply(X_320,multiply(X_510,commutator(X_510,X_320))))))) ),[1,1,1,0],$fot(multiply(X_510,X_320))]]) ).
cnf(refute_0_6280,plain,
( identity != commutator(multiply(multiply(X_510,commutator(X_510,X_320)),commutator(multiply(X_510,commutator(X_510,X_320)),X_320)),multiply(X_320,inverse(multiply(X_320,multiply(X_510,commutator(X_510,X_320))))))
| identity = commutator(multiply(multiply(X_510,commutator(X_510,X_320)),commutator(multiply(X_510,commutator(X_510,X_320)),X_320)),multiply(X_320,inverse(multiply(X_510,X_320)))) ),
inference(resolve,[$cnf( $equal(multiply(X_320,multiply(X_510,commutator(X_510,X_320))),multiply(X_510,X_320)) )],[refute_0_6278,refute_0_6279]) ).
cnf(refute_0_6281,plain,
identity = commutator(multiply(multiply(X_510,commutator(X_510,X_320)),commutator(multiply(X_510,commutator(X_510,X_320)),X_320)),multiply(X_320,inverse(multiply(X_510,X_320)))),
inference(resolve,[$cnf( $equal(identity,commutator(multiply(multiply(X_510,commutator(X_510,X_320)),commutator(multiply(X_510,commutator(X_510,X_320)),X_320)),multiply(X_320,inverse(multiply(X_320,multiply(X_510,commutator(X_510,X_320))))))) )],[refute_0_6275,refute_0_6280]) ).
cnf(refute_0_6282,plain,
commutator(multiply(X_418,multiply(inverse(multiply(X_58,X_418)),Z)),X_418) = commutator(multiply(inverse(multiply(X_58,X_418)),Z),X_418),
inference(subst,[],[refute_0_951:[bind(Y,$fot(X_418)),bind(X_86,$fot(multiply(inverse(multiply(X_58,X_418)),Z)))]]) ).
cnf(refute_0_6283,plain,
multiply(inverse(X_58),Z) = multiply(X_418,multiply(inverse(multiply(X_58,X_418)),Z)),
inference(subst,[],[refute_0_660:[bind(X,$fot(X_418))]]) ).
cnf(refute_0_6284,plain,
( multiply(inverse(X_58),Z) != multiply(X_418,multiply(inverse(multiply(X_58,X_418)),Z))
| multiply(X_418,multiply(inverse(multiply(X_58,X_418)),Z)) = multiply(inverse(X_58),Z) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(inverse(X_58),Z))),bind(Y0,$fot(multiply(X_418,multiply(inverse(multiply(X_58,X_418)),Z))))]]) ).
cnf(refute_0_6285,plain,
multiply(X_418,multiply(inverse(multiply(X_58,X_418)),Z)) = multiply(inverse(X_58),Z),
inference(resolve,[$cnf( $equal(multiply(inverse(X_58),Z),multiply(X_418,multiply(inverse(multiply(X_58,X_418)),Z))) )],[refute_0_6283,refute_0_6284]) ).
cnf(refute_0_6286,plain,
( multiply(X_418,multiply(inverse(multiply(X_58,X_418)),Z)) != multiply(inverse(X_58),Z)
| commutator(multiply(X_418,multiply(inverse(multiply(X_58,X_418)),Z)),X_418) != commutator(multiply(inverse(multiply(X_58,X_418)),Z),X_418)
| commutator(multiply(inverse(X_58),Z),X_418) = commutator(multiply(inverse(multiply(X_58,X_418)),Z),X_418) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_418,multiply(inverse(multiply(X_58,X_418)),Z)),X_418),commutator(multiply(inverse(multiply(X_58,X_418)),Z),X_418)) ),[0,0],$fot(multiply(inverse(X_58),Z))]]) ).
cnf(refute_0_6287,plain,
( commutator(multiply(X_418,multiply(inverse(multiply(X_58,X_418)),Z)),X_418) != commutator(multiply(inverse(multiply(X_58,X_418)),Z),X_418)
| commutator(multiply(inverse(X_58),Z),X_418) = commutator(multiply(inverse(multiply(X_58,X_418)),Z),X_418) ),
inference(resolve,[$cnf( $equal(multiply(X_418,multiply(inverse(multiply(X_58,X_418)),Z)),multiply(inverse(X_58),Z)) )],[refute_0_6285,refute_0_6286]) ).
cnf(refute_0_6288,plain,
commutator(multiply(inverse(X_58),Z),X_418) = commutator(multiply(inverse(multiply(X_58,X_418)),Z),X_418),
inference(resolve,[$cnf( $equal(commutator(multiply(X_418,multiply(inverse(multiply(X_58,X_418)),Z)),X_418),commutator(multiply(inverse(multiply(X_58,X_418)),Z),X_418)) )],[refute_0_6282,refute_0_6287]) ).
cnf(refute_0_6289,plain,
commutator(inverse(multiply(X_163,multiply(X_164,X))),X) = multiply(inverse(multiply(X,inverse(multiply(X_163,multiply(X_164,X))))),multiply(inverse(multiply(X_163,multiply(X_164,X))),X)),
inference(subst,[],[refute_0_718:[bind(Y,$fot(inverse(multiply(X_163,multiply(X_164,X)))))]]) ).
cnf(refute_0_6290,plain,
multiply(X,inverse(multiply(X_163,multiply(X_164,X)))) = inverse(multiply(X_163,X_164)),
inference(subst,[],[refute_0_1367:[bind(X,$fot(X_163)),bind(Y,$fot(X_164)),bind(X_59,$fot(X))]]) ).
cnf(refute_0_6291,plain,
( multiply(X,inverse(multiply(X_163,multiply(X_164,X)))) != inverse(multiply(X_163,X_164))
| commutator(inverse(multiply(X_163,multiply(X_164,X))),X) != multiply(inverse(multiply(X,inverse(multiply(X_163,multiply(X_164,X))))),multiply(inverse(multiply(X_163,multiply(X_164,X))),X))
| commutator(inverse(multiply(X_163,multiply(X_164,X))),X) = multiply(inverse(inverse(multiply(X_163,X_164))),multiply(inverse(multiply(X_163,multiply(X_164,X))),X)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(multiply(X_163,multiply(X_164,X))),X),multiply(inverse(multiply(X,inverse(multiply(X_163,multiply(X_164,X))))),multiply(inverse(multiply(X_163,multiply(X_164,X))),X))) ),[1,0,0],$fot(inverse(multiply(X_163,X_164)))]]) ).
cnf(refute_0_6292,plain,
( commutator(inverse(multiply(X_163,multiply(X_164,X))),X) != multiply(inverse(multiply(X,inverse(multiply(X_163,multiply(X_164,X))))),multiply(inverse(multiply(X_163,multiply(X_164,X))),X))
| commutator(inverse(multiply(X_163,multiply(X_164,X))),X) = multiply(inverse(inverse(multiply(X_163,X_164))),multiply(inverse(multiply(X_163,multiply(X_164,X))),X)) ),
inference(resolve,[$cnf( $equal(multiply(X,inverse(multiply(X_163,multiply(X_164,X)))),inverse(multiply(X_163,X_164))) )],[refute_0_6290,refute_0_6291]) ).
cnf(refute_0_6293,plain,
commutator(inverse(multiply(X_163,multiply(X_164,X))),X) = multiply(inverse(inverse(multiply(X_163,X_164))),multiply(inverse(multiply(X_163,multiply(X_164,X))),X)),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_163,multiply(X_164,X))),X),multiply(inverse(multiply(X,inverse(multiply(X_163,multiply(X_164,X))))),multiply(inverse(multiply(X_163,multiply(X_164,X))),X))) )],[refute_0_6289,refute_0_6292]) ).
cnf(refute_0_6294,plain,
commutator(inverse(multiply(X_163,multiply(X_164,X))),X) = commutator(X,multiply(X_163,multiply(X_164,X))),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(multiply(X_163,multiply(X_164,X)))),bind(X_110,$fot(X))]]) ).
cnf(refute_0_6295,plain,
( commutator(inverse(multiply(X_163,multiply(X_164,X))),X) != multiply(inverse(inverse(multiply(X_163,X_164))),multiply(inverse(multiply(X_163,multiply(X_164,X))),X))
| commutator(inverse(multiply(X_163,multiply(X_164,X))),X) != commutator(X,multiply(X_163,multiply(X_164,X)))
| commutator(X,multiply(X_163,multiply(X_164,X))) = multiply(inverse(inverse(multiply(X_163,X_164))),multiply(inverse(multiply(X_163,multiply(X_164,X))),X)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(multiply(X_163,multiply(X_164,X))),X),multiply(inverse(inverse(multiply(X_163,X_164))),multiply(inverse(multiply(X_163,multiply(X_164,X))),X))) ),[0],$fot(commutator(X,multiply(X_163,multiply(X_164,X))))]]) ).
cnf(refute_0_6296,plain,
( commutator(inverse(multiply(X_163,multiply(X_164,X))),X) != multiply(inverse(inverse(multiply(X_163,X_164))),multiply(inverse(multiply(X_163,multiply(X_164,X))),X))
| commutator(X,multiply(X_163,multiply(X_164,X))) = multiply(inverse(inverse(multiply(X_163,X_164))),multiply(inverse(multiply(X_163,multiply(X_164,X))),X)) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_163,multiply(X_164,X))),X),commutator(X,multiply(X_163,multiply(X_164,X)))) )],[refute_0_6294,refute_0_6295]) ).
cnf(refute_0_6297,plain,
multiply(X_163,multiply(X_164,multiply(inverse(multiply(X_163,multiply(X_164,X))),X))) = commutator(X,multiply(X_163,X_164)),
inference(subst,[],[refute_0_1448:[bind(X_50,$fot(X_163)),bind(X_51,$fot(X_164)),bind(X_52,$fot(X))]]) ).
cnf(refute_0_6298,plain,
multiply(multiply(X_164,inverse(multiply(X_163,multiply(X_164,X)))),X) = multiply(X_164,multiply(inverse(multiply(X_163,multiply(X_164,X))),X)),
inference(subst,[],[associativity:[bind(X,$fot(X_164)),bind(Y,$fot(inverse(multiply(X_163,multiply(X_164,X))))),bind(Z,$fot(X))]]) ).
cnf(refute_0_6299,plain,
multiply(X_163,multiply(multiply(X_164,inverse(multiply(X_163,multiply(X_164,X)))),X)) = multiply(X_163,multiply(multiply(X_164,inverse(multiply(X_163,multiply(X_164,X)))),X)),
introduced(tautology,[refl,[$fot(multiply(X_163,multiply(multiply(X_164,inverse(multiply(X_163,multiply(X_164,X)))),X)))]]) ).
cnf(refute_0_6300,plain,
( multiply(X_163,multiply(multiply(X_164,inverse(multiply(X_163,multiply(X_164,X)))),X)) != multiply(X_163,multiply(multiply(X_164,inverse(multiply(X_163,multiply(X_164,X)))),X))
| multiply(multiply(X_164,inverse(multiply(X_163,multiply(X_164,X)))),X) != multiply(X_164,multiply(inverse(multiply(X_163,multiply(X_164,X))),X))
| multiply(X_163,multiply(multiply(X_164,inverse(multiply(X_163,multiply(X_164,X)))),X)) = multiply(X_163,multiply(X_164,multiply(inverse(multiply(X_163,multiply(X_164,X))),X))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_163,multiply(multiply(X_164,inverse(multiply(X_163,multiply(X_164,X)))),X)),multiply(X_163,multiply(multiply(X_164,inverse(multiply(X_163,multiply(X_164,X)))),X))) ),[1,1],$fot(multiply(X_164,multiply(inverse(multiply(X_163,multiply(X_164,X))),X)))]]) ).
cnf(refute_0_6301,plain,
( multiply(multiply(X_164,inverse(multiply(X_163,multiply(X_164,X)))),X) != multiply(X_164,multiply(inverse(multiply(X_163,multiply(X_164,X))),X))
| multiply(X_163,multiply(multiply(X_164,inverse(multiply(X_163,multiply(X_164,X)))),X)) = multiply(X_163,multiply(X_164,multiply(inverse(multiply(X_163,multiply(X_164,X))),X))) ),
inference(resolve,[$cnf( $equal(multiply(X_163,multiply(multiply(X_164,inverse(multiply(X_163,multiply(X_164,X)))),X)),multiply(X_163,multiply(multiply(X_164,inverse(multiply(X_163,multiply(X_164,X)))),X))) )],[refute_0_6299,refute_0_6300]) ).
cnf(refute_0_6302,plain,
multiply(X_163,multiply(multiply(X_164,inverse(multiply(X_163,multiply(X_164,X)))),X)) = multiply(X_163,multiply(X_164,multiply(inverse(multiply(X_163,multiply(X_164,X))),X))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_164,inverse(multiply(X_163,multiply(X_164,X)))),X),multiply(X_164,multiply(inverse(multiply(X_163,multiply(X_164,X))),X))) )],[refute_0_6298,refute_0_6301]) ).
cnf(refute_0_6303,plain,
( multiply(X_163,multiply(X_164,multiply(inverse(multiply(X_163,multiply(X_164,X))),X))) != commutator(X,multiply(X_163,X_164))
| multiply(X_163,multiply(multiply(X_164,inverse(multiply(X_163,multiply(X_164,X)))),X)) != multiply(X_163,multiply(X_164,multiply(inverse(multiply(X_163,multiply(X_164,X))),X)))
| multiply(X_163,multiply(multiply(X_164,inverse(multiply(X_163,multiply(X_164,X)))),X)) = commutator(X,multiply(X_163,X_164)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_163,multiply(multiply(X_164,inverse(multiply(X_163,multiply(X_164,X)))),X)))),bind(Y0,$fot(multiply(X_163,multiply(X_164,multiply(inverse(multiply(X_163,multiply(X_164,X))),X))))),bind(Z0,$fot(commutator(X,multiply(X_163,X_164))))]]) ).
cnf(refute_0_6304,plain,
( multiply(X_163,multiply(X_164,multiply(inverse(multiply(X_163,multiply(X_164,X))),X))) != commutator(X,multiply(X_163,X_164))
| multiply(X_163,multiply(multiply(X_164,inverse(multiply(X_163,multiply(X_164,X)))),X)) = commutator(X,multiply(X_163,X_164)) ),
inference(resolve,[$cnf( $equal(multiply(X_163,multiply(multiply(X_164,inverse(multiply(X_163,multiply(X_164,X)))),X)),multiply(X_163,multiply(X_164,multiply(inverse(multiply(X_163,multiply(X_164,X))),X)))) )],[refute_0_6302,refute_0_6303]) ).
cnf(refute_0_6305,plain,
multiply(X_163,multiply(multiply(X_164,inverse(multiply(X_163,multiply(X_164,X)))),X)) = commutator(X,multiply(X_163,X_164)),
inference(resolve,[$cnf( $equal(multiply(X_163,multiply(X_164,multiply(inverse(multiply(X_163,multiply(X_164,X))),X))),commutator(X,multiply(X_163,X_164))) )],[refute_0_6297,refute_0_6304]) ).
cnf(refute_0_6306,plain,
multiply(multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X))))),X) = multiply(X_163,multiply(multiply(X_164,inverse(multiply(X_163,multiply(X_164,X)))),X)),
inference(subst,[],[associativity:[bind(X,$fot(X_163)),bind(Y,$fot(multiply(X_164,inverse(multiply(X_163,multiply(X_164,X)))))),bind(Z,$fot(X))]]) ).
cnf(refute_0_6307,plain,
( multiply(X_163,multiply(multiply(X_164,inverse(multiply(X_163,multiply(X_164,X)))),X)) != commutator(X,multiply(X_163,X_164))
| multiply(multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X))))),X) != multiply(X_163,multiply(multiply(X_164,inverse(multiply(X_163,multiply(X_164,X)))),X))
| multiply(multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X))))),X) = commutator(X,multiply(X_163,X_164)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X))))),X))),bind(Y0,$fot(multiply(X_163,multiply(multiply(X_164,inverse(multiply(X_163,multiply(X_164,X)))),X)))),bind(Z0,$fot(commutator(X,multiply(X_163,X_164))))]]) ).
cnf(refute_0_6308,plain,
( multiply(X_163,multiply(multiply(X_164,inverse(multiply(X_163,multiply(X_164,X)))),X)) != commutator(X,multiply(X_163,X_164))
| multiply(multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X))))),X) = commutator(X,multiply(X_163,X_164)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X))))),X),multiply(X_163,multiply(multiply(X_164,inverse(multiply(X_163,multiply(X_164,X)))),X))) )],[refute_0_6306,refute_0_6307]) ).
cnf(refute_0_6309,plain,
multiply(multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X))))),X) = commutator(X,multiply(X_163,X_164)),
inference(resolve,[$cnf( $equal(multiply(X_163,multiply(multiply(X_164,inverse(multiply(X_163,multiply(X_164,X)))),X)),commutator(X,multiply(X_163,X_164))) )],[refute_0_6305,refute_0_6308]) ).
cnf(refute_0_6310,plain,
multiply(multiply(X_163,X_164),inverse(multiply(X_163,multiply(X_164,X)))) = multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X))))),
inference(subst,[],[associativity:[bind(X,$fot(X_163)),bind(Y,$fot(X_164)),bind(Z,$fot(inverse(multiply(X_163,multiply(X_164,X)))))]]) ).
cnf(refute_0_6311,plain,
inverse(multiply(multiply(X_163,multiply(X_164,X)),inverse(multiply(X_163,X_164)))) = multiply(multiply(X_163,X_164),inverse(multiply(X_163,multiply(X_164,X)))),
inference(subst,[],[refute_0_180:[bind(X,$fot(multiply(X_163,X_164))),bind(X_58,$fot(multiply(X_163,multiply(X_164,X))))]]) ).
cnf(refute_0_6312,plain,
( multiply(multiply(X_163,X_164),inverse(multiply(X_163,multiply(X_164,X)))) != multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X)))))
| inverse(multiply(multiply(X_163,multiply(X_164,X)),inverse(multiply(X_163,X_164)))) != multiply(multiply(X_163,X_164),inverse(multiply(X_163,multiply(X_164,X))))
| inverse(multiply(multiply(X_163,multiply(X_164,X)),inverse(multiply(X_163,X_164)))) = multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(multiply(X_163,multiply(X_164,X)),inverse(multiply(X_163,X_164)))))),bind(Y0,$fot(multiply(multiply(X_163,X_164),inverse(multiply(X_163,multiply(X_164,X)))))),bind(Z0,$fot(multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X)))))))]]) ).
cnf(refute_0_6313,plain,
( multiply(multiply(X_163,X_164),inverse(multiply(X_163,multiply(X_164,X)))) != multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X)))))
| inverse(multiply(multiply(X_163,multiply(X_164,X)),inverse(multiply(X_163,X_164)))) = multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_163,multiply(X_164,X)),inverse(multiply(X_163,X_164)))),multiply(multiply(X_163,X_164),inverse(multiply(X_163,multiply(X_164,X))))) )],[refute_0_6311,refute_0_6312]) ).
cnf(refute_0_6314,plain,
inverse(multiply(multiply(X_163,multiply(X_164,X)),inverse(multiply(X_163,X_164)))) = multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X))))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_163,X_164),inverse(multiply(X_163,multiply(X_164,X)))),multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X)))))) )],[refute_0_6310,refute_0_6313]) ).
cnf(refute_0_6315,plain,
multiply(inverse(multiply(multiply(X_163,multiply(X_164,X)),inverse(multiply(X_163,X_164)))),X) = multiply(inverse(multiply(multiply(X_163,multiply(X_164,X)),inverse(multiply(X_163,X_164)))),X),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(multiply(X_163,multiply(X_164,X)),inverse(multiply(X_163,X_164)))),X))]]) ).
cnf(refute_0_6316,plain,
( multiply(inverse(multiply(multiply(X_163,multiply(X_164,X)),inverse(multiply(X_163,X_164)))),X) != multiply(inverse(multiply(multiply(X_163,multiply(X_164,X)),inverse(multiply(X_163,X_164)))),X)
| inverse(multiply(multiply(X_163,multiply(X_164,X)),inverse(multiply(X_163,X_164)))) != multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X)))))
| multiply(inverse(multiply(multiply(X_163,multiply(X_164,X)),inverse(multiply(X_163,X_164)))),X) = multiply(multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X))))),X) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(multiply(X_163,multiply(X_164,X)),inverse(multiply(X_163,X_164)))),X),multiply(inverse(multiply(multiply(X_163,multiply(X_164,X)),inverse(multiply(X_163,X_164)))),X)) ),[1,0],$fot(multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X))))))]]) ).
cnf(refute_0_6317,plain,
( inverse(multiply(multiply(X_163,multiply(X_164,X)),inverse(multiply(X_163,X_164)))) != multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X)))))
| multiply(inverse(multiply(multiply(X_163,multiply(X_164,X)),inverse(multiply(X_163,X_164)))),X) = multiply(multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X))))),X) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_163,multiply(X_164,X)),inverse(multiply(X_163,X_164)))),X),multiply(inverse(multiply(multiply(X_163,multiply(X_164,X)),inverse(multiply(X_163,X_164)))),X)) )],[refute_0_6315,refute_0_6316]) ).
cnf(refute_0_6318,plain,
multiply(inverse(multiply(multiply(X_163,multiply(X_164,X)),inverse(multiply(X_163,X_164)))),X) = multiply(multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X))))),X),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_163,multiply(X_164,X)),inverse(multiply(X_163,X_164)))),multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X)))))) )],[refute_0_6314,refute_0_6317]) ).
cnf(refute_0_6319,plain,
( multiply(multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X))))),X) != commutator(X,multiply(X_163,X_164))
| multiply(inverse(multiply(multiply(X_163,multiply(X_164,X)),inverse(multiply(X_163,X_164)))),X) != multiply(multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X))))),X)
| multiply(inverse(multiply(multiply(X_163,multiply(X_164,X)),inverse(multiply(X_163,X_164)))),X) = commutator(X,multiply(X_163,X_164)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(multiply(X_163,multiply(X_164,X)),inverse(multiply(X_163,X_164)))),X))),bind(Y0,$fot(multiply(multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X))))),X))),bind(Z0,$fot(commutator(X,multiply(X_163,X_164))))]]) ).
cnf(refute_0_6320,plain,
( multiply(multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X))))),X) != commutator(X,multiply(X_163,X_164))
| multiply(inverse(multiply(multiply(X_163,multiply(X_164,X)),inverse(multiply(X_163,X_164)))),X) = commutator(X,multiply(X_163,X_164)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_163,multiply(X_164,X)),inverse(multiply(X_163,X_164)))),X),multiply(multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X))))),X)) )],[refute_0_6318,refute_0_6319]) ).
cnf(refute_0_6321,plain,
multiply(inverse(multiply(multiply(X_163,multiply(X_164,X)),inverse(multiply(X_163,X_164)))),X) = commutator(X,multiply(X_163,X_164)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_163,multiply(X_164,inverse(multiply(X_163,multiply(X_164,X))))),X),commutator(X,multiply(X_163,X_164))) )],[refute_0_6309,refute_0_6320]) ).
cnf(refute_0_6322,plain,
multiply(inverse(inverse(multiply(X_163,X_164))),multiply(inverse(multiply(X_163,multiply(X_164,X))),X)) = multiply(inverse(multiply(multiply(X_163,multiply(X_164,X)),inverse(multiply(X_163,X_164)))),X),
inference(subst,[],[refute_0_242:[bind(Z,$fot(X)),bind(X_62,$fot(inverse(multiply(X_163,X_164)))),bind(X_63,$fot(multiply(X_163,multiply(X_164,X))))]]) ).
cnf(refute_0_6323,plain,
( multiply(inverse(multiply(multiply(X_163,multiply(X_164,X)),inverse(multiply(X_163,X_164)))),X) != commutator(X,multiply(X_163,X_164))
| multiply(inverse(inverse(multiply(X_163,X_164))),multiply(inverse(multiply(X_163,multiply(X_164,X))),X)) != multiply(inverse(multiply(multiply(X_163,multiply(X_164,X)),inverse(multiply(X_163,X_164)))),X)
| multiply(inverse(inverse(multiply(X_163,X_164))),multiply(inverse(multiply(X_163,multiply(X_164,X))),X)) = commutator(X,multiply(X_163,X_164)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(inverse(multiply(X_163,X_164))),multiply(inverse(multiply(X_163,multiply(X_164,X))),X)))),bind(Y0,$fot(multiply(inverse(multiply(multiply(X_163,multiply(X_164,X)),inverse(multiply(X_163,X_164)))),X))),bind(Z0,$fot(commutator(X,multiply(X_163,X_164))))]]) ).
cnf(refute_0_6324,plain,
( multiply(inverse(multiply(multiply(X_163,multiply(X_164,X)),inverse(multiply(X_163,X_164)))),X) != commutator(X,multiply(X_163,X_164))
| multiply(inverse(inverse(multiply(X_163,X_164))),multiply(inverse(multiply(X_163,multiply(X_164,X))),X)) = commutator(X,multiply(X_163,X_164)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_163,X_164))),multiply(inverse(multiply(X_163,multiply(X_164,X))),X)),multiply(inverse(multiply(multiply(X_163,multiply(X_164,X)),inverse(multiply(X_163,X_164)))),X)) )],[refute_0_6322,refute_0_6323]) ).
cnf(refute_0_6325,plain,
multiply(inverse(inverse(multiply(X_163,X_164))),multiply(inverse(multiply(X_163,multiply(X_164,X))),X)) = commutator(X,multiply(X_163,X_164)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_163,multiply(X_164,X)),inverse(multiply(X_163,X_164)))),X),commutator(X,multiply(X_163,X_164))) )],[refute_0_6321,refute_0_6324]) ).
cnf(refute_0_6326,plain,
( multiply(inverse(inverse(multiply(X_163,X_164))),multiply(inverse(multiply(X_163,multiply(X_164,X))),X)) != commutator(X,multiply(X_163,X_164))
| commutator(X,multiply(X_163,multiply(X_164,X))) != multiply(inverse(inverse(multiply(X_163,X_164))),multiply(inverse(multiply(X_163,multiply(X_164,X))),X))
| commutator(X,multiply(X_163,multiply(X_164,X))) = commutator(X,multiply(X_163,X_164)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X,multiply(X_163,multiply(X_164,X))),multiply(inverse(inverse(multiply(X_163,X_164))),multiply(inverse(multiply(X_163,multiply(X_164,X))),X))) ),[1],$fot(commutator(X,multiply(X_163,X_164)))]]) ).
cnf(refute_0_6327,plain,
( commutator(X,multiply(X_163,multiply(X_164,X))) != multiply(inverse(inverse(multiply(X_163,X_164))),multiply(inverse(multiply(X_163,multiply(X_164,X))),X))
| commutator(X,multiply(X_163,multiply(X_164,X))) = commutator(X,multiply(X_163,X_164)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_163,X_164))),multiply(inverse(multiply(X_163,multiply(X_164,X))),X)),commutator(X,multiply(X_163,X_164))) )],[refute_0_6325,refute_0_6326]) ).
cnf(refute_0_6328,plain,
( commutator(inverse(multiply(X_163,multiply(X_164,X))),X) != multiply(inverse(inverse(multiply(X_163,X_164))),multiply(inverse(multiply(X_163,multiply(X_164,X))),X))
| commutator(X,multiply(X_163,multiply(X_164,X))) = commutator(X,multiply(X_163,X_164)) ),
inference(resolve,[$cnf( $equal(commutator(X,multiply(X_163,multiply(X_164,X))),multiply(inverse(inverse(multiply(X_163,X_164))),multiply(inverse(multiply(X_163,multiply(X_164,X))),X))) )],[refute_0_6296,refute_0_6327]) ).
cnf(refute_0_6329,plain,
commutator(X,multiply(X_163,multiply(X_164,X))) = commutator(X,multiply(X_163,X_164)),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_163,multiply(X_164,X))),X),multiply(inverse(inverse(multiply(X_163,X_164))),multiply(inverse(multiply(X_163,multiply(X_164,X))),X))) )],[refute_0_6293,refute_0_6328]) ).
cnf(refute_0_6330,plain,
commutator(X_418,multiply(inverse(Z),multiply(X_58,X_418))) = commutator(X_418,multiply(inverse(Z),X_58)),
inference(subst,[],[refute_0_6329:[bind(X,$fot(X_418)),bind(X_163,$fot(inverse(Z))),bind(X_164,$fot(X_58))]]) ).
cnf(refute_0_6331,plain,
commutator(multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,multiply(X_109,commutator(X_109,X_179))))) = commutator(multiply(X_109,commutator(X_109,X_179)),X_179),
inference(subst,[],[refute_0_1769:[bind(X_135,$fot(multiply(X_109,commutator(X_109,X_179)))),bind(X_167,$fot(X_179))]]) ).
cnf(refute_0_6332,plain,
commutator(X_179,multiply(X_109,commutator(X_109,X_179))) = commutator(X_179,X_109),
inference(subst,[],[refute_0_1764:[bind(X_121,$fot(X_179))]]) ).
cnf(refute_0_6333,plain,
( commutator(X_179,multiply(X_109,commutator(X_109,X_179))) != commutator(X_179,X_109)
| commutator(multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,multiply(X_109,commutator(X_109,X_179))))) != commutator(multiply(X_109,commutator(X_109,X_179)),X_179)
| commutator(multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109))) = commutator(multiply(X_109,commutator(X_109,X_179)),X_179) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,multiply(X_109,commutator(X_109,X_179))))),commutator(multiply(X_109,commutator(X_109,X_179)),X_179)) ),[0,1,1],$fot(commutator(X_179,X_109))]]) ).
cnf(refute_0_6334,plain,
( commutator(multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,multiply(X_109,commutator(X_109,X_179))))) != commutator(multiply(X_109,commutator(X_109,X_179)),X_179)
| commutator(multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109))) = commutator(multiply(X_109,commutator(X_109,X_179)),X_179) ),
inference(resolve,[$cnf( $equal(commutator(X_179,multiply(X_109,commutator(X_109,X_179))),commutator(X_179,X_109)) )],[refute_0_6332,refute_0_6333]) ).
cnf(refute_0_6335,plain,
commutator(multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109))) = commutator(multiply(X_109,commutator(X_109,X_179)),X_179),
inference(resolve,[$cnf( $equal(commutator(multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,multiply(X_109,commutator(X_109,X_179))))),commutator(multiply(X_109,commutator(X_109,X_179)),X_179)) )],[refute_0_6331,refute_0_6334]) ).
cnf(refute_0_6336,plain,
commutator(multiply(X_179,commutator(X_179,X_109)),multiply(inverse(X_109),X_179)) = commutator(multiply(inverse(X_179),X_109),multiply(X_179,commutator(X_179,X_109))),
inference(subst,[],[refute_0_5990:[bind(Z,$fot(X_109)),bind(X_114,$fot(multiply(X_179,commutator(X_179,X_109)))),bind(X_61,$fot(X_179))]]) ).
cnf(refute_0_6337,plain,
commutator(multiply(inverse(X_109),X_179),inverse(multiply(X_179,commutator(X_179,X_109)))) = commutator(multiply(X_179,commutator(X_179,X_109)),multiply(inverse(X_109),X_179)),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(multiply(X_179,commutator(X_179,X_109)))),bind(X_110,$fot(multiply(inverse(X_109),X_179)))]]) ).
cnf(refute_0_6338,plain,
( commutator(multiply(X_179,commutator(X_179,X_109)),multiply(inverse(X_109),X_179)) != commutator(multiply(inverse(X_179),X_109),multiply(X_179,commutator(X_179,X_109)))
| commutator(multiply(inverse(X_109),X_179),inverse(multiply(X_179,commutator(X_179,X_109)))) != commutator(multiply(X_179,commutator(X_179,X_109)),multiply(inverse(X_109),X_179))
| commutator(multiply(inverse(X_109),X_179),inverse(multiply(X_179,commutator(X_179,X_109)))) = commutator(multiply(inverse(X_179),X_109),multiply(X_179,commutator(X_179,X_109))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(inverse(X_109),X_179),inverse(multiply(X_179,commutator(X_179,X_109)))))),bind(Y0,$fot(commutator(multiply(X_179,commutator(X_179,X_109)),multiply(inverse(X_109),X_179)))),bind(Z0,$fot(commutator(multiply(inverse(X_179),X_109),multiply(X_179,commutator(X_179,X_109)))))]]) ).
cnf(refute_0_6339,plain,
( commutator(multiply(X_179,commutator(X_179,X_109)),multiply(inverse(X_109),X_179)) != commutator(multiply(inverse(X_179),X_109),multiply(X_179,commutator(X_179,X_109)))
| commutator(multiply(inverse(X_109),X_179),inverse(multiply(X_179,commutator(X_179,X_109)))) = commutator(multiply(inverse(X_179),X_109),multiply(X_179,commutator(X_179,X_109))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_109),X_179),inverse(multiply(X_179,commutator(X_179,X_109)))),commutator(multiply(X_179,commutator(X_179,X_109)),multiply(inverse(X_109),X_179))) )],[refute_0_6337,refute_0_6338]) ).
cnf(refute_0_6340,plain,
commutator(multiply(inverse(X_109),X_179),inverse(multiply(X_179,commutator(X_179,X_109)))) = commutator(multiply(inverse(X_179),X_109),multiply(X_179,commutator(X_179,X_109))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_179,commutator(X_179,X_109)),multiply(inverse(X_109),X_179)),commutator(multiply(inverse(X_179),X_109),multiply(X_179,commutator(X_179,X_109)))) )],[refute_0_6336,refute_0_6339]) ).
cnf(refute_0_6341,plain,
commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(inverse(X_179),X_109)) = commutator(multiply(inverse(X_109),X_179),inverse(multiply(X_179,commutator(X_179,X_109)))),
inference(subst,[],[refute_0_5990:[bind(Z,$fot(X_179)),bind(X_114,$fot(inverse(multiply(X_179,commutator(X_179,X_109))))),bind(X_61,$fot(X_109))]]) ).
cnf(refute_0_6342,plain,
( commutator(multiply(inverse(X_109),X_179),inverse(multiply(X_179,commutator(X_179,X_109)))) != commutator(multiply(inverse(X_179),X_109),multiply(X_179,commutator(X_179,X_109)))
| commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(inverse(X_179),X_109)) != commutator(multiply(inverse(X_109),X_179),inverse(multiply(X_179,commutator(X_179,X_109))))
| commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(inverse(X_179),X_109)) = commutator(multiply(inverse(X_179),X_109),multiply(X_179,commutator(X_179,X_109))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(inverse(X_179),X_109)))),bind(Y0,$fot(commutator(multiply(inverse(X_109),X_179),inverse(multiply(X_179,commutator(X_179,X_109)))))),bind(Z0,$fot(commutator(multiply(inverse(X_179),X_109),multiply(X_179,commutator(X_179,X_109)))))]]) ).
cnf(refute_0_6343,plain,
( commutator(multiply(inverse(X_109),X_179),inverse(multiply(X_179,commutator(X_179,X_109)))) != commutator(multiply(inverse(X_179),X_109),multiply(X_179,commutator(X_179,X_109)))
| commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(inverse(X_179),X_109)) = commutator(multiply(inverse(X_179),X_109),multiply(X_179,commutator(X_179,X_109))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(inverse(X_179),X_109)),commutator(multiply(inverse(X_109),X_179),inverse(multiply(X_179,commutator(X_179,X_109))))) )],[refute_0_6341,refute_0_6342]) ).
cnf(refute_0_6344,plain,
commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(inverse(X_179),X_109)) = commutator(multiply(inverse(X_179),X_109),multiply(X_179,commutator(X_179,X_109))),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_109),X_179),inverse(multiply(X_179,commutator(X_179,X_109)))),commutator(multiply(inverse(X_179),X_109),multiply(X_179,commutator(X_179,X_109)))) )],[refute_0_6340,refute_0_6343]) ).
cnf(refute_0_6345,plain,
multiply(X_109,inverse(multiply(X_179,commutator(X_179,X_109)))) = multiply(inverse(X_179),X_109),
inference(subst,[],[refute_0_2505:[bind(X_10,$fot(X_179)),bind(X_75,$fot(X_109))]]) ).
cnf(refute_0_6346,plain,
multiply(commutator(X_109,X_179),inverse(X_179)) = inverse(multiply(X_179,commutator(X_179,X_109))),
inference(subst,[],[refute_0_378:[bind(X_58,$fot(X_179)),bind(X_65,$fot(X_109)),bind(X_66,$fot(X_179))]]) ).
cnf(refute_0_6347,plain,
multiply(X_109,multiply(commutator(X_109,X_179),inverse(X_179))) = multiply(X_109,multiply(commutator(X_109,X_179),inverse(X_179))),
introduced(tautology,[refl,[$fot(multiply(X_109,multiply(commutator(X_109,X_179),inverse(X_179))))]]) ).
cnf(refute_0_6348,plain,
( multiply(X_109,multiply(commutator(X_109,X_179),inverse(X_179))) != multiply(X_109,multiply(commutator(X_109,X_179),inverse(X_179)))
| multiply(commutator(X_109,X_179),inverse(X_179)) != inverse(multiply(X_179,commutator(X_179,X_109)))
| multiply(X_109,multiply(commutator(X_109,X_179),inverse(X_179))) = multiply(X_109,inverse(multiply(X_179,commutator(X_179,X_109)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_109,multiply(commutator(X_109,X_179),inverse(X_179))),multiply(X_109,multiply(commutator(X_109,X_179),inverse(X_179)))) ),[1,1],$fot(inverse(multiply(X_179,commutator(X_179,X_109))))]]) ).
cnf(refute_0_6349,plain,
( multiply(commutator(X_109,X_179),inverse(X_179)) != inverse(multiply(X_179,commutator(X_179,X_109)))
| multiply(X_109,multiply(commutator(X_109,X_179),inverse(X_179))) = multiply(X_109,inverse(multiply(X_179,commutator(X_179,X_109)))) ),
inference(resolve,[$cnf( $equal(multiply(X_109,multiply(commutator(X_109,X_179),inverse(X_179))),multiply(X_109,multiply(commutator(X_109,X_179),inverse(X_179)))) )],[refute_0_6347,refute_0_6348]) ).
cnf(refute_0_6350,plain,
multiply(X_109,multiply(commutator(X_109,X_179),inverse(X_179))) = multiply(X_109,inverse(multiply(X_179,commutator(X_179,X_109)))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_109,X_179),inverse(X_179)),inverse(multiply(X_179,commutator(X_179,X_109)))) )],[refute_0_6346,refute_0_6349]) ).
cnf(refute_0_6351,plain,
( multiply(X_109,multiply(commutator(X_109,X_179),inverse(X_179))) != multiply(X_109,inverse(multiply(X_179,commutator(X_179,X_109))))
| multiply(X_109,inverse(multiply(X_179,commutator(X_179,X_109)))) != multiply(inverse(X_179),X_109)
| multiply(X_109,multiply(commutator(X_109,X_179),inverse(X_179))) = multiply(inverse(X_179),X_109) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_109,multiply(commutator(X_109,X_179),inverse(X_179))))),bind(Y0,$fot(multiply(X_109,inverse(multiply(X_179,commutator(X_179,X_109)))))),bind(Z0,$fot(multiply(inverse(X_179),X_109)))]]) ).
cnf(refute_0_6352,plain,
( multiply(X_109,inverse(multiply(X_179,commutator(X_179,X_109)))) != multiply(inverse(X_179),X_109)
| multiply(X_109,multiply(commutator(X_109,X_179),inverse(X_179))) = multiply(inverse(X_179),X_109) ),
inference(resolve,[$cnf( $equal(multiply(X_109,multiply(commutator(X_109,X_179),inverse(X_179))),multiply(X_109,inverse(multiply(X_179,commutator(X_179,X_109))))) )],[refute_0_6350,refute_0_6351]) ).
cnf(refute_0_6353,plain,
multiply(X_109,multiply(commutator(X_109,X_179),inverse(X_179))) = multiply(inverse(X_179),X_109),
inference(resolve,[$cnf( $equal(multiply(X_109,inverse(multiply(X_179,commutator(X_179,X_109)))),multiply(inverse(X_179),X_109)) )],[refute_0_6345,refute_0_6352]) ).
cnf(refute_0_6354,plain,
multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)) = multiply(X_109,multiply(commutator(X_109,X_179),inverse(X_179))),
inference(subst,[],[associativity:[bind(X,$fot(X_109)),bind(Y,$fot(commutator(X_109,X_179))),bind(Z,$fot(inverse(X_179)))]]) ).
cnf(refute_0_6355,plain,
( multiply(X_109,multiply(commutator(X_109,X_179),inverse(X_179))) != multiply(inverse(X_179),X_109)
| multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)) != multiply(X_109,multiply(commutator(X_109,X_179),inverse(X_179)))
| multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)) = multiply(inverse(X_179),X_109) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)))),bind(Y0,$fot(multiply(X_109,multiply(commutator(X_109,X_179),inverse(X_179))))),bind(Z0,$fot(multiply(inverse(X_179),X_109)))]]) ).
cnf(refute_0_6356,plain,
( multiply(X_109,multiply(commutator(X_109,X_179),inverse(X_179))) != multiply(inverse(X_179),X_109)
| multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)) = multiply(inverse(X_179),X_109) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)),multiply(X_109,multiply(commutator(X_109,X_179),inverse(X_179)))) )],[refute_0_6354,refute_0_6355]) ).
cnf(refute_0_6357,plain,
multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)) = multiply(inverse(X_179),X_109),
inference(resolve,[$cnf( $equal(multiply(X_109,multiply(commutator(X_109,X_179),inverse(X_179))),multiply(inverse(X_179),X_109)) )],[refute_0_6353,refute_0_6356]) ).
cnf(refute_0_6358,plain,
commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))) = commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))),
introduced(tautology,[refl,[$fot(commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))))]]) ).
cnf(refute_0_6359,plain,
( multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)) != multiply(inverse(X_179),X_109)
| commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))) != commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)))
| commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))) = commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(inverse(X_179),X_109)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))),commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)))) ),[1,1],$fot(multiply(inverse(X_179),X_109))]]) ).
cnf(refute_0_6360,plain,
( multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)) != multiply(inverse(X_179),X_109)
| commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))) = commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(inverse(X_179),X_109)) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))),commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)))) )],[refute_0_6358,refute_0_6359]) ).
cnf(refute_0_6361,plain,
commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))) = commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(inverse(X_179),X_109)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)),multiply(inverse(X_179),X_109)) )],[refute_0_6357,refute_0_6360]) ).
cnf(refute_0_6362,plain,
multiply(inverse(commutator(X_179,X_109)),inverse(X_179)) = inverse(multiply(X_179,commutator(X_179,X_109))),
inference(subst,[],[refute_0_257:[bind(X_10,$fot(commutator(X_179,X_109))),bind(X_58,$fot(X_179))]]) ).
cnf(refute_0_6363,plain,
commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))) = commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))),
introduced(tautology,[refl,[$fot(commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))))]]) ).
cnf(refute_0_6364,plain,
( multiply(inverse(commutator(X_179,X_109)),inverse(X_179)) != inverse(multiply(X_179,commutator(X_179,X_109)))
| commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))) != commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)))
| commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))) = commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))),commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)))) ),[1,0],$fot(inverse(multiply(X_179,commutator(X_179,X_109))))]]) ).
cnf(refute_0_6365,plain,
( multiply(inverse(commutator(X_179,X_109)),inverse(X_179)) != inverse(multiply(X_179,commutator(X_179,X_109)))
| commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))) = commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))),commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)))) )],[refute_0_6363,refute_0_6364]) ).
cnf(refute_0_6366,plain,
commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))) = commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),inverse(multiply(X_179,commutator(X_179,X_109)))) )],[refute_0_6362,refute_0_6365]) ).
cnf(refute_0_6367,plain,
( commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))) != commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)))
| commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))) != commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(inverse(X_179),X_109))
| commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))) = commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(inverse(X_179),X_109)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))))),bind(Y0,$fot(commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))))),bind(Z0,$fot(commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(inverse(X_179),X_109))))]]) ).
cnf(refute_0_6368,plain,
( commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))) != commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(inverse(X_179),X_109))
| commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))) = commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(inverse(X_179),X_109)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))),commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)))) )],[refute_0_6366,refute_0_6367]) ).
cnf(refute_0_6369,plain,
commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))) = commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(inverse(X_179),X_109)),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))),commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(inverse(X_179),X_109))) )],[refute_0_6361,refute_0_6368]) ).
cnf(refute_0_6370,plain,
( commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))) != commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(inverse(X_179),X_109))
| commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(inverse(X_179),X_109)) != commutator(multiply(inverse(X_179),X_109),multiply(X_179,commutator(X_179,X_109)))
| commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))) = commutator(multiply(inverse(X_179),X_109),multiply(X_179,commutator(X_179,X_109))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))))),bind(Y0,$fot(commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(inverse(X_179),X_109)))),bind(Z0,$fot(commutator(multiply(inverse(X_179),X_109),multiply(X_179,commutator(X_179,X_109)))))]]) ).
cnf(refute_0_6371,plain,
( commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(inverse(X_179),X_109)) != commutator(multiply(inverse(X_179),X_109),multiply(X_179,commutator(X_179,X_109)))
| commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))) = commutator(multiply(inverse(X_179),X_109),multiply(X_179,commutator(X_179,X_109))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))),commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(inverse(X_179),X_109))) )],[refute_0_6369,refute_0_6370]) ).
cnf(refute_0_6372,plain,
commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))) = commutator(multiply(inverse(X_179),X_109),multiply(X_179,commutator(X_179,X_109))),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_179,commutator(X_179,X_109))),multiply(inverse(X_179),X_109)),commutator(multiply(inverse(X_179),X_109),multiply(X_179,commutator(X_179,X_109)))) )],[refute_0_6344,refute_0_6371]) ).
cnf(refute_0_6373,plain,
commutator(multiply(inverse(X_27),X_172),multiply(X_173,X_172)) = commutator(multiply(inverse(X_27),X_172),multiply(X_173,inverse(inverse(X_27)))),
inference(subst,[],[refute_0_1692:[bind(X_10,$fot(inverse(X_27))),bind(X_161,$fot(X_172)),bind(X_162,$fot(X_173))]]) ).
cnf(refute_0_6374,plain,
( commutator(multiply(inverse(X_27),X_172),multiply(X_173,X_172)) != commutator(multiply(inverse(X_27),X_172),multiply(X_173,inverse(inverse(X_27))))
| inverse(inverse(X_27)) != X_27
| commutator(multiply(inverse(X_27),X_172),multiply(X_173,X_172)) = commutator(multiply(inverse(X_27),X_172),multiply(X_173,X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(X_27),X_172),multiply(X_173,X_172)),commutator(multiply(inverse(X_27),X_172),multiply(X_173,inverse(inverse(X_27))))) ),[1,1,1],$fot(X_27)]]) ).
cnf(refute_0_6375,plain,
( commutator(multiply(inverse(X_27),X_172),multiply(X_173,X_172)) != commutator(multiply(inverse(X_27),X_172),multiply(X_173,inverse(inverse(X_27))))
| commutator(multiply(inverse(X_27),X_172),multiply(X_173,X_172)) = commutator(multiply(inverse(X_27),X_172),multiply(X_173,X_27)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_27)),X_27) )],[refute_0_152,refute_0_6374]) ).
cnf(refute_0_6376,plain,
commutator(multiply(inverse(X_27),X_172),multiply(X_173,X_172)) = commutator(multiply(inverse(X_27),X_172),multiply(X_173,X_27)),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_27),X_172),multiply(X_173,X_172)),commutator(multiply(inverse(X_27),X_172),multiply(X_173,inverse(inverse(X_27))))) )],[refute_0_6373,refute_0_6375]) ).
cnf(refute_0_6377,plain,
( commutator(multiply(inverse(X_27),X_172),multiply(X_173,X_172)) != commutator(multiply(inverse(X_27),X_172),multiply(X_173,X_27))
| commutator(multiply(inverse(X_27),X_172),multiply(X_173,X_27)) = commutator(multiply(inverse(X_27),X_172),multiply(X_173,X_172)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(multiply(inverse(X_27),X_172),multiply(X_173,X_172)))),bind(Y0,$fot(commutator(multiply(inverse(X_27),X_172),multiply(X_173,X_27))))]]) ).
cnf(refute_0_6378,plain,
commutator(multiply(inverse(X_27),X_172),multiply(X_173,X_27)) = commutator(multiply(inverse(X_27),X_172),multiply(X_173,X_172)),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_27),X_172),multiply(X_173,X_172)),commutator(multiply(inverse(X_27),X_172),multiply(X_173,X_27))) )],[refute_0_6376,refute_0_6377]) ).
cnf(refute_0_6379,plain,
commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109))) = commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))),
inference(subst,[],[refute_0_6378:[bind(X_172,$fot(inverse(X_179))),bind(X_173,$fot(multiply(X_109,commutator(X_109,X_179)))),bind(X_27,$fot(commutator(X_179,X_109)))]]) ).
cnf(refute_0_6380,plain,
commutator(multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109)),multiply(inverse(inverse(X_179)),commutator(X_179,X_109))) = commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109))),
inference(subst,[],[refute_0_5990:[bind(Z,$fot(inverse(X_179))),bind(X_114,$fot(multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109)))),bind(X_61,$fot(commutator(X_179,X_109)))]]) ).
cnf(refute_0_6381,plain,
( commutator(multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109)),multiply(inverse(inverse(X_179)),commutator(X_179,X_109))) != commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109)))
| commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109))) != commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)))
| commutator(multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109)),multiply(inverse(inverse(X_179)),commutator(X_179,X_109))) = commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109)),multiply(inverse(inverse(X_179)),commutator(X_179,X_109))))),bind(Y0,$fot(commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109))))),bind(Z0,$fot(commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)))))]]) ).
cnf(refute_0_6382,plain,
( commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109))) != commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)))
| commutator(multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109)),multiply(inverse(inverse(X_179)),commutator(X_179,X_109))) = commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109)),multiply(inverse(inverse(X_179)),commutator(X_179,X_109))),commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109)))) )],[refute_0_6380,refute_0_6381]) ).
cnf(refute_0_6383,plain,
commutator(multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109)),multiply(inverse(inverse(X_179)),commutator(X_179,X_109))) = commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109))),commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)))) )],[refute_0_6379,refute_0_6382]) ).
cnf(refute_0_6384,plain,
commutator(multiply(X_171,X_172),multiply(inverse(X_10),X_172)) = commutator(multiply(X_171,X_172),multiply(inverse(X_10),inverse(X_171))),
inference(subst,[],[refute_0_1692:[bind(X_10,$fot(X_171)),bind(X_161,$fot(X_172)),bind(X_162,$fot(inverse(X_10)))]]) ).
cnf(refute_0_6385,plain,
inverse(multiply(X_171,X_10)) = multiply(inverse(X_10),inverse(X_171)),
inference(subst,[],[refute_0_234:[bind(X_58,$fot(X_171))]]) ).
cnf(refute_0_6386,plain,
( inverse(multiply(X_171,X_10)) != multiply(inverse(X_10),inverse(X_171))
| multiply(inverse(X_10),inverse(X_171)) = inverse(multiply(X_171,X_10)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(inverse(multiply(X_171,X_10)))),bind(Y0,$fot(multiply(inverse(X_10),inverse(X_171))))]]) ).
cnf(refute_0_6387,plain,
multiply(inverse(X_10),inverse(X_171)) = inverse(multiply(X_171,X_10)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_171,X_10)),multiply(inverse(X_10),inverse(X_171))) )],[refute_0_6385,refute_0_6386]) ).
cnf(refute_0_6388,plain,
( multiply(inverse(X_10),inverse(X_171)) != inverse(multiply(X_171,X_10))
| commutator(multiply(X_171,X_172),multiply(inverse(X_10),X_172)) != commutator(multiply(X_171,X_172),multiply(inverse(X_10),inverse(X_171)))
| commutator(multiply(X_171,X_172),multiply(inverse(X_10),X_172)) = commutator(multiply(X_171,X_172),inverse(multiply(X_171,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_171,X_172),multiply(inverse(X_10),X_172)),commutator(multiply(X_171,X_172),multiply(inverse(X_10),inverse(X_171)))) ),[1,1],$fot(inverse(multiply(X_171,X_10)))]]) ).
cnf(refute_0_6389,plain,
( commutator(multiply(X_171,X_172),multiply(inverse(X_10),X_172)) != commutator(multiply(X_171,X_172),multiply(inverse(X_10),inverse(X_171)))
| commutator(multiply(X_171,X_172),multiply(inverse(X_10),X_172)) = commutator(multiply(X_171,X_172),inverse(multiply(X_171,X_10))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),inverse(X_171)),inverse(multiply(X_171,X_10))) )],[refute_0_6387,refute_0_6388]) ).
cnf(refute_0_6390,plain,
commutator(multiply(X_171,X_172),multiply(inverse(X_10),X_172)) = commutator(multiply(X_171,X_172),inverse(multiply(X_171,X_10))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_171,X_172),multiply(inverse(X_10),X_172)),commutator(multiply(X_171,X_172),multiply(inverse(X_10),inverse(X_171)))) )],[refute_0_6384,refute_0_6389]) ).
cnf(refute_0_6391,plain,
commutator(multiply(X_171,X_172),inverse(multiply(X_171,X_10))) = commutator(multiply(X_171,X_10),multiply(X_171,X_172)),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(multiply(X_171,X_10))),bind(X_110,$fot(multiply(X_171,X_172)))]]) ).
cnf(refute_0_6392,plain,
( commutator(multiply(X_171,X_172),multiply(inverse(X_10),X_172)) != commutator(multiply(X_171,X_172),inverse(multiply(X_171,X_10)))
| commutator(multiply(X_171,X_172),inverse(multiply(X_171,X_10))) != commutator(multiply(X_171,X_10),multiply(X_171,X_172))
| commutator(multiply(X_171,X_172),multiply(inverse(X_10),X_172)) = commutator(multiply(X_171,X_10),multiply(X_171,X_172)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(multiply(X_171,X_172),multiply(inverse(X_10),X_172)),commutator(multiply(X_171,X_10),multiply(X_171,X_172))) ),[0],$fot(commutator(multiply(X_171,X_172),inverse(multiply(X_171,X_10))))]]) ).
cnf(refute_0_6393,plain,
( commutator(multiply(X_171,X_172),multiply(inverse(X_10),X_172)) != commutator(multiply(X_171,X_172),inverse(multiply(X_171,X_10)))
| commutator(multiply(X_171,X_172),multiply(inverse(X_10),X_172)) = commutator(multiply(X_171,X_10),multiply(X_171,X_172)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_171,X_172),inverse(multiply(X_171,X_10))),commutator(multiply(X_171,X_10),multiply(X_171,X_172))) )],[refute_0_6391,refute_0_6392]) ).
cnf(refute_0_6394,plain,
commutator(multiply(X_171,X_172),multiply(inverse(X_10),X_172)) = commutator(multiply(X_171,X_10),multiply(X_171,X_172)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_171,X_172),multiply(inverse(X_10),X_172)),commutator(multiply(X_171,X_172),inverse(multiply(X_171,X_10)))) )],[refute_0_6390,refute_0_6393]) ).
cnf(refute_0_6395,plain,
( commutator(multiply(X_171,X_172),multiply(inverse(X_10),X_172)) != commutator(multiply(X_171,X_10),multiply(X_171,X_172))
| commutator(multiply(X_171,X_10),multiply(X_171,X_172)) = commutator(multiply(X_171,X_172),multiply(inverse(X_10),X_172)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(multiply(X_171,X_172),multiply(inverse(X_10),X_172)))),bind(Y0,$fot(commutator(multiply(X_171,X_10),multiply(X_171,X_172))))]]) ).
cnf(refute_0_6396,plain,
commutator(multiply(X_171,X_10),multiply(X_171,X_172)) = commutator(multiply(X_171,X_172),multiply(inverse(X_10),X_172)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_171,X_172),multiply(inverse(X_10),X_172)),commutator(multiply(X_171,X_10),multiply(X_171,X_172))) )],[refute_0_6394,refute_0_6395]) ).
cnf(refute_0_6397,plain,
commutator(multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109))) = commutator(multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109)),multiply(inverse(inverse(X_179)),commutator(X_179,X_109))),
inference(subst,[],[refute_0_6396:[bind(X_10,$fot(inverse(X_179))),bind(X_171,$fot(multiply(X_109,commutator(X_109,X_179)))),bind(X_172,$fot(commutator(X_179,X_109)))]]) ).
cnf(refute_0_6398,plain,
( commutator(multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109)),multiply(inverse(inverse(X_179)),commutator(X_179,X_109))) != commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)))
| commutator(multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109))) != commutator(multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109)),multiply(inverse(inverse(X_179)),commutator(X_179,X_109)))
| commutator(multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109))) = commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109))))),bind(Y0,$fot(commutator(multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109)),multiply(inverse(inverse(X_179)),commutator(X_179,X_109))))),bind(Z0,$fot(commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)))))]]) ).
cnf(refute_0_6399,plain,
( commutator(multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109)),multiply(inverse(inverse(X_179)),commutator(X_179,X_109))) != commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)))
| commutator(multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109))) = commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109))),commutator(multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109)),multiply(inverse(inverse(X_179)),commutator(X_179,X_109)))) )],[refute_0_6397,refute_0_6398]) ).
cnf(refute_0_6400,plain,
commutator(multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109))) = commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))),
inference(resolve,[$cnf( $equal(commutator(multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109)),multiply(inverse(inverse(X_179)),commutator(X_179,X_109))),commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)))) )],[refute_0_6383,refute_0_6399]) ).
cnf(refute_0_6401,plain,
( commutator(multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109))) != commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)))
| commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))) != commutator(multiply(inverse(X_179),X_109),multiply(X_179,commutator(X_179,X_109)))
| commutator(multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109))) = commutator(multiply(inverse(X_179),X_109),multiply(X_179,commutator(X_179,X_109))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109))))),bind(Y0,$fot(commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))))),bind(Z0,$fot(commutator(multiply(inverse(X_179),X_109),multiply(X_179,commutator(X_179,X_109)))))]]) ).
cnf(refute_0_6402,plain,
( commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))) != commutator(multiply(inverse(X_179),X_109),multiply(X_179,commutator(X_179,X_109)))
| commutator(multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109))) = commutator(multiply(inverse(X_179),X_109),multiply(X_179,commutator(X_179,X_109))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109))),commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)))) )],[refute_0_6400,refute_0_6401]) ).
cnf(refute_0_6403,plain,
commutator(multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109))) = commutator(multiply(inverse(X_179),X_109),multiply(X_179,commutator(X_179,X_109))),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(commutator(X_179,X_109)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179))),commutator(multiply(inverse(X_179),X_109),multiply(X_179,commutator(X_179,X_109)))) )],[refute_0_6372,refute_0_6402]) ).
cnf(refute_0_6404,plain,
( commutator(multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109))) != commutator(multiply(X_109,commutator(X_109,X_179)),X_179)
| commutator(multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109))) != commutator(multiply(inverse(X_179),X_109),multiply(X_179,commutator(X_179,X_109)))
| commutator(multiply(inverse(X_179),X_109),multiply(X_179,commutator(X_179,X_109))) = commutator(multiply(X_109,commutator(X_109,X_179)),X_179) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109))),commutator(multiply(X_109,commutator(X_109,X_179)),X_179)) ),[0],$fot(commutator(multiply(inverse(X_179),X_109),multiply(X_179,commutator(X_179,X_109))))]]) ).
cnf(refute_0_6405,plain,
( commutator(multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109))) != commutator(multiply(X_109,commutator(X_109,X_179)),X_179)
| commutator(multiply(inverse(X_179),X_109),multiply(X_179,commutator(X_179,X_109))) = commutator(multiply(X_109,commutator(X_109,X_179)),X_179) ),
inference(resolve,[$cnf( $equal(commutator(multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109))),commutator(multiply(inverse(X_179),X_109),multiply(X_179,commutator(X_179,X_109)))) )],[refute_0_6403,refute_0_6404]) ).
cnf(refute_0_6406,plain,
commutator(multiply(X_109,commutator(X_109,X_179)),X_179) = commutator(X_109,X_179),
inference(subst,[],[refute_0_1592:[bind(X_127,$fot(X_179)),bind(X_128,$fot(X_109))]]) ).
cnf(refute_0_6407,plain,
( commutator(multiply(X_109,commutator(X_109,X_179)),X_179) != commutator(X_109,X_179)
| commutator(multiply(inverse(X_179),X_109),multiply(X_179,commutator(X_179,X_109))) != commutator(multiply(X_109,commutator(X_109,X_179)),X_179)
| commutator(multiply(inverse(X_179),X_109),multiply(X_179,commutator(X_179,X_109))) = commutator(X_109,X_179) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(X_179),X_109),multiply(X_179,commutator(X_179,X_109))),commutator(multiply(X_109,commutator(X_109,X_179)),X_179)) ),[1],$fot(commutator(X_109,X_179))]]) ).
cnf(refute_0_6408,plain,
( commutator(multiply(inverse(X_179),X_109),multiply(X_179,commutator(X_179,X_109))) != commutator(multiply(X_109,commutator(X_109,X_179)),X_179)
| commutator(multiply(inverse(X_179),X_109),multiply(X_179,commutator(X_179,X_109))) = commutator(X_109,X_179) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_109,commutator(X_109,X_179)),X_179),commutator(X_109,X_179)) )],[refute_0_6406,refute_0_6407]) ).
cnf(refute_0_6409,plain,
( commutator(multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109))) != commutator(multiply(X_109,commutator(X_109,X_179)),X_179)
| commutator(multiply(inverse(X_179),X_109),multiply(X_179,commutator(X_179,X_109))) = commutator(X_109,X_179) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_179),X_109),multiply(X_179,commutator(X_179,X_109))),commutator(multiply(X_109,commutator(X_109,X_179)),X_179)) )],[refute_0_6405,refute_0_6408]) ).
cnf(refute_0_6410,plain,
commutator(multiply(inverse(X_179),X_109),multiply(X_179,commutator(X_179,X_109))) = commutator(X_109,X_179),
inference(resolve,[$cnf( $equal(commutator(multiply(multiply(X_109,commutator(X_109,X_179)),inverse(X_179)),multiply(multiply(X_109,commutator(X_109,X_179)),commutator(X_179,X_109))),commutator(multiply(X_109,commutator(X_109,X_179)),X_179)) )],[refute_0_6335,refute_0_6409]) ).
cnf(refute_0_6411,plain,
commutator(multiply(inverse(X_373),multiply(inverse(multiply(X_58,inverse(X_373))),Z)),multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)))) = commutator(multiply(inverse(multiply(X_58,inverse(X_373))),Z),X_373),
inference(subst,[],[refute_0_6410:[bind(X_109,$fot(multiply(inverse(multiply(X_58,inverse(X_373))),Z))),bind(X_179,$fot(X_373))]]) ).
cnf(refute_0_6412,plain,
multiply(inverse(X_58),Z) = multiply(inverse(X_373),multiply(inverse(multiply(X_58,inverse(X_373))),Z)),
inference(subst,[],[refute_0_660:[bind(X,$fot(inverse(X_373)))]]) ).
cnf(refute_0_6413,plain,
( multiply(inverse(X_58),Z) != multiply(inverse(X_373),multiply(inverse(multiply(X_58,inverse(X_373))),Z))
| multiply(inverse(X_373),multiply(inverse(multiply(X_58,inverse(X_373))),Z)) = multiply(inverse(X_58),Z) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(inverse(X_58),Z))),bind(Y0,$fot(multiply(inverse(X_373),multiply(inverse(multiply(X_58,inverse(X_373))),Z))))]]) ).
cnf(refute_0_6414,plain,
multiply(inverse(X_373),multiply(inverse(multiply(X_58,inverse(X_373))),Z)) = multiply(inverse(X_58),Z),
inference(resolve,[$cnf( $equal(multiply(inverse(X_58),Z),multiply(inverse(X_373),multiply(inverse(multiply(X_58,inverse(X_373))),Z))) )],[refute_0_6412,refute_0_6413]) ).
cnf(refute_0_6415,plain,
( multiply(inverse(X_373),multiply(inverse(multiply(X_58,inverse(X_373))),Z)) != multiply(inverse(X_58),Z)
| commutator(multiply(inverse(X_373),multiply(inverse(multiply(X_58,inverse(X_373))),Z)),multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)))) != commutator(multiply(inverse(multiply(X_58,inverse(X_373))),Z),X_373)
| commutator(multiply(inverse(X_58),Z),multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)))) = commutator(multiply(inverse(multiply(X_58,inverse(X_373))),Z),X_373) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(X_373),multiply(inverse(multiply(X_58,inverse(X_373))),Z)),multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)))),commutator(multiply(inverse(multiply(X_58,inverse(X_373))),Z),X_373)) ),[0,0],$fot(multiply(inverse(X_58),Z))]]) ).
cnf(refute_0_6416,plain,
( commutator(multiply(inverse(X_373),multiply(inverse(multiply(X_58,inverse(X_373))),Z)),multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)))) != commutator(multiply(inverse(multiply(X_58,inverse(X_373))),Z),X_373)
| commutator(multiply(inverse(X_58),Z),multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)))) = commutator(multiply(inverse(multiply(X_58,inverse(X_373))),Z),X_373) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_373),multiply(inverse(multiply(X_58,inverse(X_373))),Z)),multiply(inverse(X_58),Z)) )],[refute_0_6414,refute_0_6415]) ).
cnf(refute_0_6417,plain,
commutator(multiply(inverse(X_58),Z),multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)))) = commutator(multiply(inverse(multiply(X_58,inverse(X_373))),Z),X_373),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_373),multiply(inverse(multiply(X_58,inverse(X_373))),Z)),multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)))),commutator(multiply(inverse(multiply(X_58,inverse(X_373))),Z),X_373)) )],[refute_0_6411,refute_0_6416]) ).
cnf(refute_0_6418,plain,
commutator(multiply(inverse(X_58),Z),multiply(X_373,commutator(X_373,multiply(inverse(X_58),Z)))) = commutator(multiply(inverse(X_58),Z),X_373),
inference(subst,[],[refute_0_1764:[bind(X_109,$fot(X_373)),bind(X_121,$fot(multiply(inverse(X_58),Z)))]]) ).
cnf(refute_0_6419,plain,
commutator(X_373,multiply(X_373,multiply(inverse(X_58),Z))) = commutator(X_373,multiply(inverse(X_58),Z)),
inference(subst,[],[refute_0_455:[bind(X_10,$fot(X_373)),bind(X_11,$fot(multiply(inverse(X_58),Z)))]]) ).
cnf(refute_0_6420,plain,
multiply(multiply(X_373,inverse(X_58)),Z) = multiply(X_373,multiply(inverse(X_58),Z)),
inference(subst,[],[associativity:[bind(X,$fot(X_373)),bind(Y,$fot(inverse(X_58)))]]) ).
cnf(refute_0_6421,plain,
inverse(multiply(X_58,inverse(X_373))) = multiply(X_373,inverse(X_58)),
inference(subst,[],[refute_0_180:[bind(X,$fot(X_373))]]) ).
cnf(refute_0_6422,plain,
multiply(inverse(multiply(X_58,inverse(X_373))),Z) = multiply(inverse(multiply(X_58,inverse(X_373))),Z),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_58,inverse(X_373))),Z))]]) ).
cnf(refute_0_6423,plain,
( multiply(inverse(multiply(X_58,inverse(X_373))),Z) != multiply(inverse(multiply(X_58,inverse(X_373))),Z)
| inverse(multiply(X_58,inverse(X_373))) != multiply(X_373,inverse(X_58))
| multiply(inverse(multiply(X_58,inverse(X_373))),Z) = multiply(multiply(X_373,inverse(X_58)),Z) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_58,inverse(X_373))),Z),multiply(inverse(multiply(X_58,inverse(X_373))),Z)) ),[1,0],$fot(multiply(X_373,inverse(X_58)))]]) ).
cnf(refute_0_6424,plain,
( inverse(multiply(X_58,inverse(X_373))) != multiply(X_373,inverse(X_58))
| multiply(inverse(multiply(X_58,inverse(X_373))),Z) = multiply(multiply(X_373,inverse(X_58)),Z) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_58,inverse(X_373))),Z),multiply(inverse(multiply(X_58,inverse(X_373))),Z)) )],[refute_0_6422,refute_0_6423]) ).
cnf(refute_0_6425,plain,
multiply(inverse(multiply(X_58,inverse(X_373))),Z) = multiply(multiply(X_373,inverse(X_58)),Z),
inference(resolve,[$cnf( $equal(inverse(multiply(X_58,inverse(X_373))),multiply(X_373,inverse(X_58))) )],[refute_0_6421,refute_0_6424]) ).
cnf(refute_0_6426,plain,
( multiply(multiply(X_373,inverse(X_58)),Z) != multiply(X_373,multiply(inverse(X_58),Z))
| multiply(inverse(multiply(X_58,inverse(X_373))),Z) != multiply(multiply(X_373,inverse(X_58)),Z)
| multiply(inverse(multiply(X_58,inverse(X_373))),Z) = multiply(X_373,multiply(inverse(X_58),Z)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_58,inverse(X_373))),Z))),bind(Y0,$fot(multiply(multiply(X_373,inverse(X_58)),Z))),bind(Z0,$fot(multiply(X_373,multiply(inverse(X_58),Z))))]]) ).
cnf(refute_0_6427,plain,
( multiply(multiply(X_373,inverse(X_58)),Z) != multiply(X_373,multiply(inverse(X_58),Z))
| multiply(inverse(multiply(X_58,inverse(X_373))),Z) = multiply(X_373,multiply(inverse(X_58),Z)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_58,inverse(X_373))),Z),multiply(multiply(X_373,inverse(X_58)),Z)) )],[refute_0_6425,refute_0_6426]) ).
cnf(refute_0_6428,plain,
multiply(inverse(multiply(X_58,inverse(X_373))),Z) = multiply(X_373,multiply(inverse(X_58),Z)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_373,inverse(X_58)),Z),multiply(X_373,multiply(inverse(X_58),Z))) )],[refute_0_6420,refute_0_6427]) ).
cnf(refute_0_6429,plain,
commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)) = commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)),
introduced(tautology,[refl,[$fot(commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)))]]) ).
cnf(refute_0_6430,plain,
( multiply(inverse(multiply(X_58,inverse(X_373))),Z) != multiply(X_373,multiply(inverse(X_58),Z))
| commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)) != commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z))
| commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)) = commutator(X_373,multiply(X_373,multiply(inverse(X_58),Z))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)),commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z))) ),[1,1],$fot(multiply(X_373,multiply(inverse(X_58),Z)))]]) ).
cnf(refute_0_6431,plain,
( multiply(inverse(multiply(X_58,inverse(X_373))),Z) != multiply(X_373,multiply(inverse(X_58),Z))
| commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)) = commutator(X_373,multiply(X_373,multiply(inverse(X_58),Z))) ),
inference(resolve,[$cnf( $equal(commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)),commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z))) )],[refute_0_6429,refute_0_6430]) ).
cnf(refute_0_6432,plain,
commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)) = commutator(X_373,multiply(X_373,multiply(inverse(X_58),Z))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_58,inverse(X_373))),Z),multiply(X_373,multiply(inverse(X_58),Z))) )],[refute_0_6428,refute_0_6431]) ).
cnf(refute_0_6433,plain,
( commutator(X_373,multiply(X_373,multiply(inverse(X_58),Z))) != commutator(X_373,multiply(inverse(X_58),Z))
| commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)) != commutator(X_373,multiply(X_373,multiply(inverse(X_58),Z)))
| commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)) = commutator(X_373,multiply(inverse(X_58),Z)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)))),bind(Y0,$fot(commutator(X_373,multiply(X_373,multiply(inverse(X_58),Z))))),bind(Z0,$fot(commutator(X_373,multiply(inverse(X_58),Z))))]]) ).
cnf(refute_0_6434,plain,
( commutator(X_373,multiply(X_373,multiply(inverse(X_58),Z))) != commutator(X_373,multiply(inverse(X_58),Z))
| commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)) = commutator(X_373,multiply(inverse(X_58),Z)) ),
inference(resolve,[$cnf( $equal(commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)),commutator(X_373,multiply(X_373,multiply(inverse(X_58),Z)))) )],[refute_0_6432,refute_0_6433]) ).
cnf(refute_0_6435,plain,
commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)) = commutator(X_373,multiply(inverse(X_58),Z)),
inference(resolve,[$cnf( $equal(commutator(X_373,multiply(X_373,multiply(inverse(X_58),Z))),commutator(X_373,multiply(inverse(X_58),Z))) )],[refute_0_6419,refute_0_6434]) ).
cnf(refute_0_6436,plain,
multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z))) = multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z))),
introduced(tautology,[refl,[$fot(multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z))))]]) ).
cnf(refute_0_6437,plain,
( multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z))) != multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)))
| commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)) != commutator(X_373,multiply(inverse(X_58),Z))
| multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z))) = multiply(X_373,commutator(X_373,multiply(inverse(X_58),Z))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z))),multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)))) ),[1,1],$fot(commutator(X_373,multiply(inverse(X_58),Z)))]]) ).
cnf(refute_0_6438,plain,
( commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)) != commutator(X_373,multiply(inverse(X_58),Z))
| multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z))) = multiply(X_373,commutator(X_373,multiply(inverse(X_58),Z))) ),
inference(resolve,[$cnf( $equal(multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z))),multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)))) )],[refute_0_6436,refute_0_6437]) ).
cnf(refute_0_6439,plain,
multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z))) = multiply(X_373,commutator(X_373,multiply(inverse(X_58),Z))),
inference(resolve,[$cnf( $equal(commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)),commutator(X_373,multiply(inverse(X_58),Z))) )],[refute_0_6435,refute_0_6438]) ).
cnf(refute_0_6440,plain,
commutator(multiply(inverse(X_58),Z),multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)))) = commutator(multiply(inverse(X_58),Z),multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)))),
introduced(tautology,[refl,[$fot(commutator(multiply(inverse(X_58),Z),multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)))))]]) ).
cnf(refute_0_6441,plain,
( multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z))) != multiply(X_373,commutator(X_373,multiply(inverse(X_58),Z)))
| commutator(multiply(inverse(X_58),Z),multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)))) != commutator(multiply(inverse(X_58),Z),multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z))))
| commutator(multiply(inverse(X_58),Z),multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)))) = commutator(multiply(inverse(X_58),Z),multiply(X_373,commutator(X_373,multiply(inverse(X_58),Z)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(X_58),Z),multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)))),commutator(multiply(inverse(X_58),Z),multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z))))) ),[1,1],$fot(multiply(X_373,commutator(X_373,multiply(inverse(X_58),Z))))]]) ).
cnf(refute_0_6442,plain,
( multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z))) != multiply(X_373,commutator(X_373,multiply(inverse(X_58),Z)))
| commutator(multiply(inverse(X_58),Z),multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)))) = commutator(multiply(inverse(X_58),Z),multiply(X_373,commutator(X_373,multiply(inverse(X_58),Z)))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_58),Z),multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)))),commutator(multiply(inverse(X_58),Z),multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z))))) )],[refute_0_6440,refute_0_6441]) ).
cnf(refute_0_6443,plain,
commutator(multiply(inverse(X_58),Z),multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)))) = commutator(multiply(inverse(X_58),Z),multiply(X_373,commutator(X_373,multiply(inverse(X_58),Z)))),
inference(resolve,[$cnf( $equal(multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z))),multiply(X_373,commutator(X_373,multiply(inverse(X_58),Z)))) )],[refute_0_6439,refute_0_6442]) ).
cnf(refute_0_6444,plain,
( commutator(multiply(inverse(X_58),Z),multiply(X_373,commutator(X_373,multiply(inverse(X_58),Z)))) != commutator(multiply(inverse(X_58),Z),X_373)
| commutator(multiply(inverse(X_58),Z),multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)))) != commutator(multiply(inverse(X_58),Z),multiply(X_373,commutator(X_373,multiply(inverse(X_58),Z))))
| commutator(multiply(inverse(X_58),Z),multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)))) = commutator(multiply(inverse(X_58),Z),X_373) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(inverse(X_58),Z),multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)))))),bind(Y0,$fot(commutator(multiply(inverse(X_58),Z),multiply(X_373,commutator(X_373,multiply(inverse(X_58),Z)))))),bind(Z0,$fot(commutator(multiply(inverse(X_58),Z),X_373)))]]) ).
cnf(refute_0_6445,plain,
( commutator(multiply(inverse(X_58),Z),multiply(X_373,commutator(X_373,multiply(inverse(X_58),Z)))) != commutator(multiply(inverse(X_58),Z),X_373)
| commutator(multiply(inverse(X_58),Z),multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)))) = commutator(multiply(inverse(X_58),Z),X_373) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_58),Z),multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)))),commutator(multiply(inverse(X_58),Z),multiply(X_373,commutator(X_373,multiply(inverse(X_58),Z))))) )],[refute_0_6443,refute_0_6444]) ).
cnf(refute_0_6446,plain,
commutator(multiply(inverse(X_58),Z),multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)))) = commutator(multiply(inverse(X_58),Z),X_373),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_58),Z),multiply(X_373,commutator(X_373,multiply(inverse(X_58),Z)))),commutator(multiply(inverse(X_58),Z),X_373)) )],[refute_0_6418,refute_0_6445]) ).
cnf(refute_0_6447,plain,
( commutator(multiply(inverse(X_58),Z),multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)))) != commutator(multiply(inverse(X_58),Z),X_373)
| commutator(multiply(inverse(X_58),Z),multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)))) != commutator(multiply(inverse(multiply(X_58,inverse(X_373))),Z),X_373)
| commutator(multiply(inverse(X_58),Z),X_373) = commutator(multiply(inverse(multiply(X_58,inverse(X_373))),Z),X_373) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(X_58),Z),multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)))),commutator(multiply(inverse(multiply(X_58,inverse(X_373))),Z),X_373)) ),[0],$fot(commutator(multiply(inverse(X_58),Z),X_373))]]) ).
cnf(refute_0_6448,plain,
( commutator(multiply(inverse(X_58),Z),multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)))) != commutator(multiply(inverse(multiply(X_58,inverse(X_373))),Z),X_373)
| commutator(multiply(inverse(X_58),Z),X_373) = commutator(multiply(inverse(multiply(X_58,inverse(X_373))),Z),X_373) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_58),Z),multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)))),commutator(multiply(inverse(X_58),Z),X_373)) )],[refute_0_6446,refute_0_6447]) ).
cnf(refute_0_6449,plain,
commutator(multiply(multiply(X_178,inverse(X_179)),commutator(multiply(X_178,inverse(X_179)),multiply(X_178,commutator(X_179,X_178)))),multiply(X_178,commutator(X_179,X_178))) = commutator(multiply(X_178,inverse(X_179)),multiply(X_178,commutator(X_179,X_178))),
inference(subst,[],[refute_0_1592:[bind(X_127,$fot(multiply(X_178,commutator(X_179,X_178)))),bind(X_128,$fot(multiply(X_178,inverse(X_179))))]]) ).
cnf(refute_0_6450,plain,
commutator(multiply(X_178,inverse(X_179)),multiply(X_178,commutator(X_179,X_178))) = commutator(X_178,X_179),
inference(subst,[],[refute_0_1769:[bind(X_135,$fot(X_178)),bind(X_167,$fot(X_179))]]) ).
cnf(refute_0_6451,plain,
( commutator(multiply(X_178,inverse(X_179)),multiply(X_178,commutator(X_179,X_178))) != commutator(X_178,X_179)
| commutator(multiply(multiply(X_178,inverse(X_179)),commutator(multiply(X_178,inverse(X_179)),multiply(X_178,commutator(X_179,X_178)))),multiply(X_178,commutator(X_179,X_178))) != commutator(multiply(X_178,inverse(X_179)),multiply(X_178,commutator(X_179,X_178)))
| commutator(multiply(multiply(X_178,inverse(X_179)),commutator(X_178,X_179)),multiply(X_178,commutator(X_179,X_178))) = commutator(multiply(X_178,inverse(X_179)),multiply(X_178,commutator(X_179,X_178))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(multiply(X_178,inverse(X_179)),commutator(multiply(X_178,inverse(X_179)),multiply(X_178,commutator(X_179,X_178)))),multiply(X_178,commutator(X_179,X_178))),commutator(multiply(X_178,inverse(X_179)),multiply(X_178,commutator(X_179,X_178)))) ),[0,0,1],$fot(commutator(X_178,X_179))]]) ).
cnf(refute_0_6452,plain,
( commutator(multiply(multiply(X_178,inverse(X_179)),commutator(multiply(X_178,inverse(X_179)),multiply(X_178,commutator(X_179,X_178)))),multiply(X_178,commutator(X_179,X_178))) != commutator(multiply(X_178,inverse(X_179)),multiply(X_178,commutator(X_179,X_178)))
| commutator(multiply(multiply(X_178,inverse(X_179)),commutator(X_178,X_179)),multiply(X_178,commutator(X_179,X_178))) = commutator(multiply(X_178,inverse(X_179)),multiply(X_178,commutator(X_179,X_178))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_178,inverse(X_179)),multiply(X_178,commutator(X_179,X_178))),commutator(X_178,X_179)) )],[refute_0_6450,refute_0_6451]) ).
cnf(refute_0_6453,plain,
commutator(multiply(multiply(X_178,inverse(X_179)),commutator(X_178,X_179)),multiply(X_178,commutator(X_179,X_178))) = commutator(multiply(X_178,inverse(X_179)),multiply(X_178,commutator(X_179,X_178))),
inference(resolve,[$cnf( $equal(commutator(multiply(multiply(X_178,inverse(X_179)),commutator(multiply(X_178,inverse(X_179)),multiply(X_178,commutator(X_179,X_178)))),multiply(X_178,commutator(X_179,X_178))),commutator(multiply(X_178,inverse(X_179)),multiply(X_178,commutator(X_179,X_178)))) )],[refute_0_6449,refute_0_6452]) ).
cnf(refute_0_6454,plain,
multiply(X_178,inverse(multiply(X_179,commutator(X_179,X_178)))) = multiply(inverse(X_179),X_178),
inference(subst,[],[refute_0_2505:[bind(X_10,$fot(X_179)),bind(X_75,$fot(X_178))]]) ).
cnf(refute_0_6455,plain,
multiply(commutator(X_179,X_178),X_179) = multiply(X_179,commutator(X_179,X_178)),
inference(subst,[],[refute_0_2195:[bind(X_102,$fot(X_178)),bind(X_58,$fot(X_179))]]) ).
cnf(refute_0_6456,plain,
inverse(multiply(commutator(X_179,X_178),X_179)) = inverse(multiply(commutator(X_179,X_178),X_179)),
introduced(tautology,[refl,[$fot(inverse(multiply(commutator(X_179,X_178),X_179)))]]) ).
cnf(refute_0_6457,plain,
( multiply(commutator(X_179,X_178),X_179) != multiply(X_179,commutator(X_179,X_178))
| inverse(multiply(commutator(X_179,X_178),X_179)) != inverse(multiply(commutator(X_179,X_178),X_179))
| inverse(multiply(commutator(X_179,X_178),X_179)) = inverse(multiply(X_179,commutator(X_179,X_178))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(commutator(X_179,X_178),X_179)),inverse(multiply(commutator(X_179,X_178),X_179))) ),[1,0],$fot(multiply(X_179,commutator(X_179,X_178)))]]) ).
cnf(refute_0_6458,plain,
( multiply(commutator(X_179,X_178),X_179) != multiply(X_179,commutator(X_179,X_178))
| inverse(multiply(commutator(X_179,X_178),X_179)) = inverse(multiply(X_179,commutator(X_179,X_178))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_179,X_178),X_179)),inverse(multiply(commutator(X_179,X_178),X_179))) )],[refute_0_6456,refute_0_6457]) ).
cnf(refute_0_6459,plain,
inverse(multiply(commutator(X_179,X_178),X_179)) = inverse(multiply(X_179,commutator(X_179,X_178))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_179,X_178),X_179),multiply(X_179,commutator(X_179,X_178))) )],[refute_0_6455,refute_0_6458]) ).
cnf(refute_0_6460,plain,
multiply(inverse(X_179),commutator(X_178,X_179)) = inverse(multiply(commutator(X_179,X_178),X_179)),
inference(subst,[],[refute_0_331:[bind(X_10,$fot(X_179)),bind(X_65,$fot(X_178)),bind(X_66,$fot(X_179))]]) ).
cnf(refute_0_6461,plain,
( multiply(inverse(X_179),commutator(X_178,X_179)) != inverse(multiply(commutator(X_179,X_178),X_179))
| inverse(multiply(commutator(X_179,X_178),X_179)) != inverse(multiply(X_179,commutator(X_179,X_178)))
| multiply(inverse(X_179),commutator(X_178,X_179)) = inverse(multiply(X_179,commutator(X_179,X_178))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(X_179),commutator(X_178,X_179)))),bind(Y0,$fot(inverse(multiply(commutator(X_179,X_178),X_179)))),bind(Z0,$fot(inverse(multiply(X_179,commutator(X_179,X_178)))))]]) ).
cnf(refute_0_6462,plain,
( inverse(multiply(commutator(X_179,X_178),X_179)) != inverse(multiply(X_179,commutator(X_179,X_178)))
| multiply(inverse(X_179),commutator(X_178,X_179)) = inverse(multiply(X_179,commutator(X_179,X_178))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_179),commutator(X_178,X_179)),inverse(multiply(commutator(X_179,X_178),X_179))) )],[refute_0_6460,refute_0_6461]) ).
cnf(refute_0_6463,plain,
multiply(inverse(X_179),commutator(X_178,X_179)) = inverse(multiply(X_179,commutator(X_179,X_178))),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_179,X_178),X_179)),inverse(multiply(X_179,commutator(X_179,X_178)))) )],[refute_0_6459,refute_0_6462]) ).
cnf(refute_0_6464,plain,
multiply(X_178,multiply(inverse(X_179),commutator(X_178,X_179))) = multiply(X_178,multiply(inverse(X_179),commutator(X_178,X_179))),
introduced(tautology,[refl,[$fot(multiply(X_178,multiply(inverse(X_179),commutator(X_178,X_179))))]]) ).
cnf(refute_0_6465,plain,
( multiply(X_178,multiply(inverse(X_179),commutator(X_178,X_179))) != multiply(X_178,multiply(inverse(X_179),commutator(X_178,X_179)))
| multiply(inverse(X_179),commutator(X_178,X_179)) != inverse(multiply(X_179,commutator(X_179,X_178)))
| multiply(X_178,multiply(inverse(X_179),commutator(X_178,X_179))) = multiply(X_178,inverse(multiply(X_179,commutator(X_179,X_178)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_178,multiply(inverse(X_179),commutator(X_178,X_179))),multiply(X_178,multiply(inverse(X_179),commutator(X_178,X_179)))) ),[1,1],$fot(inverse(multiply(X_179,commutator(X_179,X_178))))]]) ).
cnf(refute_0_6466,plain,
( multiply(inverse(X_179),commutator(X_178,X_179)) != inverse(multiply(X_179,commutator(X_179,X_178)))
| multiply(X_178,multiply(inverse(X_179),commutator(X_178,X_179))) = multiply(X_178,inverse(multiply(X_179,commutator(X_179,X_178)))) ),
inference(resolve,[$cnf( $equal(multiply(X_178,multiply(inverse(X_179),commutator(X_178,X_179))),multiply(X_178,multiply(inverse(X_179),commutator(X_178,X_179)))) )],[refute_0_6464,refute_0_6465]) ).
cnf(refute_0_6467,plain,
multiply(X_178,multiply(inverse(X_179),commutator(X_178,X_179))) = multiply(X_178,inverse(multiply(X_179,commutator(X_179,X_178)))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_179),commutator(X_178,X_179)),inverse(multiply(X_179,commutator(X_179,X_178)))) )],[refute_0_6463,refute_0_6466]) ).
cnf(refute_0_6468,plain,
( multiply(X_178,multiply(inverse(X_179),commutator(X_178,X_179))) != multiply(X_178,inverse(multiply(X_179,commutator(X_179,X_178))))
| multiply(X_178,inverse(multiply(X_179,commutator(X_179,X_178)))) != multiply(inverse(X_179),X_178)
| multiply(X_178,multiply(inverse(X_179),commutator(X_178,X_179))) = multiply(inverse(X_179),X_178) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_178,multiply(inverse(X_179),commutator(X_178,X_179))))),bind(Y0,$fot(multiply(X_178,inverse(multiply(X_179,commutator(X_179,X_178)))))),bind(Z0,$fot(multiply(inverse(X_179),X_178)))]]) ).
cnf(refute_0_6469,plain,
( multiply(X_178,inverse(multiply(X_179,commutator(X_179,X_178)))) != multiply(inverse(X_179),X_178)
| multiply(X_178,multiply(inverse(X_179),commutator(X_178,X_179))) = multiply(inverse(X_179),X_178) ),
inference(resolve,[$cnf( $equal(multiply(X_178,multiply(inverse(X_179),commutator(X_178,X_179))),multiply(X_178,inverse(multiply(X_179,commutator(X_179,X_178))))) )],[refute_0_6467,refute_0_6468]) ).
cnf(refute_0_6470,plain,
multiply(X_178,multiply(inverse(X_179),commutator(X_178,X_179))) = multiply(inverse(X_179),X_178),
inference(resolve,[$cnf( $equal(multiply(X_178,inverse(multiply(X_179,commutator(X_179,X_178)))),multiply(inverse(X_179),X_178)) )],[refute_0_6454,refute_0_6469]) ).
cnf(refute_0_6471,plain,
multiply(multiply(X_178,inverse(X_179)),commutator(X_178,X_179)) = multiply(X_178,multiply(inverse(X_179),commutator(X_178,X_179))),
inference(subst,[],[associativity:[bind(X,$fot(X_178)),bind(Y,$fot(inverse(X_179))),bind(Z,$fot(commutator(X_178,X_179)))]]) ).
cnf(refute_0_6472,plain,
( multiply(X_178,multiply(inverse(X_179),commutator(X_178,X_179))) != multiply(inverse(X_179),X_178)
| multiply(multiply(X_178,inverse(X_179)),commutator(X_178,X_179)) != multiply(X_178,multiply(inverse(X_179),commutator(X_178,X_179)))
| multiply(multiply(X_178,inverse(X_179)),commutator(X_178,X_179)) = multiply(inverse(X_179),X_178) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_178,inverse(X_179)),commutator(X_178,X_179)))),bind(Y0,$fot(multiply(X_178,multiply(inverse(X_179),commutator(X_178,X_179))))),bind(Z0,$fot(multiply(inverse(X_179),X_178)))]]) ).
cnf(refute_0_6473,plain,
( multiply(X_178,multiply(inverse(X_179),commutator(X_178,X_179))) != multiply(inverse(X_179),X_178)
| multiply(multiply(X_178,inverse(X_179)),commutator(X_178,X_179)) = multiply(inverse(X_179),X_178) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_178,inverse(X_179)),commutator(X_178,X_179)),multiply(X_178,multiply(inverse(X_179),commutator(X_178,X_179)))) )],[refute_0_6471,refute_0_6472]) ).
cnf(refute_0_6474,plain,
multiply(multiply(X_178,inverse(X_179)),commutator(X_178,X_179)) = multiply(inverse(X_179),X_178),
inference(resolve,[$cnf( $equal(multiply(X_178,multiply(inverse(X_179),commutator(X_178,X_179))),multiply(inverse(X_179),X_178)) )],[refute_0_6470,refute_0_6473]) ).
cnf(refute_0_6475,plain,
commutator(multiply(multiply(X_178,inverse(X_179)),commutator(X_178,X_179)),multiply(X_178,commutator(X_179,X_178))) = commutator(multiply(multiply(X_178,inverse(X_179)),commutator(X_178,X_179)),multiply(X_178,commutator(X_179,X_178))),
introduced(tautology,[refl,[$fot(commutator(multiply(multiply(X_178,inverse(X_179)),commutator(X_178,X_179)),multiply(X_178,commutator(X_179,X_178))))]]) ).
cnf(refute_0_6476,plain,
( multiply(multiply(X_178,inverse(X_179)),commutator(X_178,X_179)) != multiply(inverse(X_179),X_178)
| commutator(multiply(multiply(X_178,inverse(X_179)),commutator(X_178,X_179)),multiply(X_178,commutator(X_179,X_178))) != commutator(multiply(multiply(X_178,inverse(X_179)),commutator(X_178,X_179)),multiply(X_178,commutator(X_179,X_178)))
| commutator(multiply(multiply(X_178,inverse(X_179)),commutator(X_178,X_179)),multiply(X_178,commutator(X_179,X_178))) = commutator(multiply(inverse(X_179),X_178),multiply(X_178,commutator(X_179,X_178))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(multiply(X_178,inverse(X_179)),commutator(X_178,X_179)),multiply(X_178,commutator(X_179,X_178))),commutator(multiply(multiply(X_178,inverse(X_179)),commutator(X_178,X_179)),multiply(X_178,commutator(X_179,X_178)))) ),[1,0],$fot(multiply(inverse(X_179),X_178))]]) ).
cnf(refute_0_6477,plain,
( multiply(multiply(X_178,inverse(X_179)),commutator(X_178,X_179)) != multiply(inverse(X_179),X_178)
| commutator(multiply(multiply(X_178,inverse(X_179)),commutator(X_178,X_179)),multiply(X_178,commutator(X_179,X_178))) = commutator(multiply(inverse(X_179),X_178),multiply(X_178,commutator(X_179,X_178))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(multiply(X_178,inverse(X_179)),commutator(X_178,X_179)),multiply(X_178,commutator(X_179,X_178))),commutator(multiply(multiply(X_178,inverse(X_179)),commutator(X_178,X_179)),multiply(X_178,commutator(X_179,X_178)))) )],[refute_0_6475,refute_0_6476]) ).
cnf(refute_0_6478,plain,
commutator(multiply(multiply(X_178,inverse(X_179)),commutator(X_178,X_179)),multiply(X_178,commutator(X_179,X_178))) = commutator(multiply(inverse(X_179),X_178),multiply(X_178,commutator(X_179,X_178))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_178,inverse(X_179)),commutator(X_178,X_179)),multiply(inverse(X_179),X_178)) )],[refute_0_6474,refute_0_6477]) ).
cnf(refute_0_6479,plain,
( commutator(multiply(multiply(X_178,inverse(X_179)),commutator(X_178,X_179)),multiply(X_178,commutator(X_179,X_178))) != commutator(multiply(X_178,inverse(X_179)),multiply(X_178,commutator(X_179,X_178)))
| commutator(multiply(multiply(X_178,inverse(X_179)),commutator(X_178,X_179)),multiply(X_178,commutator(X_179,X_178))) != commutator(multiply(inverse(X_179),X_178),multiply(X_178,commutator(X_179,X_178)))
| commutator(multiply(inverse(X_179),X_178),multiply(X_178,commutator(X_179,X_178))) = commutator(multiply(X_178,inverse(X_179)),multiply(X_178,commutator(X_179,X_178))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(multiply(X_178,inverse(X_179)),commutator(X_178,X_179)),multiply(X_178,commutator(X_179,X_178))),commutator(multiply(X_178,inverse(X_179)),multiply(X_178,commutator(X_179,X_178)))) ),[0],$fot(commutator(multiply(inverse(X_179),X_178),multiply(X_178,commutator(X_179,X_178))))]]) ).
cnf(refute_0_6480,plain,
( commutator(multiply(multiply(X_178,inverse(X_179)),commutator(X_178,X_179)),multiply(X_178,commutator(X_179,X_178))) != commutator(multiply(X_178,inverse(X_179)),multiply(X_178,commutator(X_179,X_178)))
| commutator(multiply(inverse(X_179),X_178),multiply(X_178,commutator(X_179,X_178))) = commutator(multiply(X_178,inverse(X_179)),multiply(X_178,commutator(X_179,X_178))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(multiply(X_178,inverse(X_179)),commutator(X_178,X_179)),multiply(X_178,commutator(X_179,X_178))),commutator(multiply(inverse(X_179),X_178),multiply(X_178,commutator(X_179,X_178)))) )],[refute_0_6478,refute_0_6479]) ).
cnf(refute_0_6481,plain,
( commutator(multiply(X_178,inverse(X_179)),multiply(X_178,commutator(X_179,X_178))) != commutator(X_178,X_179)
| commutator(multiply(inverse(X_179),X_178),multiply(X_178,commutator(X_179,X_178))) != commutator(multiply(X_178,inverse(X_179)),multiply(X_178,commutator(X_179,X_178)))
| commutator(multiply(inverse(X_179),X_178),multiply(X_178,commutator(X_179,X_178))) = commutator(X_178,X_179) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(X_179),X_178),multiply(X_178,commutator(X_179,X_178))),commutator(multiply(X_178,inverse(X_179)),multiply(X_178,commutator(X_179,X_178)))) ),[1],$fot(commutator(X_178,X_179))]]) ).
cnf(refute_0_6482,plain,
( commutator(multiply(inverse(X_179),X_178),multiply(X_178,commutator(X_179,X_178))) != commutator(multiply(X_178,inverse(X_179)),multiply(X_178,commutator(X_179,X_178)))
| commutator(multiply(inverse(X_179),X_178),multiply(X_178,commutator(X_179,X_178))) = commutator(X_178,X_179) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_178,inverse(X_179)),multiply(X_178,commutator(X_179,X_178))),commutator(X_178,X_179)) )],[refute_0_6450,refute_0_6481]) ).
cnf(refute_0_6483,plain,
( commutator(multiply(multiply(X_178,inverse(X_179)),commutator(X_178,X_179)),multiply(X_178,commutator(X_179,X_178))) != commutator(multiply(X_178,inverse(X_179)),multiply(X_178,commutator(X_179,X_178)))
| commutator(multiply(inverse(X_179),X_178),multiply(X_178,commutator(X_179,X_178))) = commutator(X_178,X_179) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_179),X_178),multiply(X_178,commutator(X_179,X_178))),commutator(multiply(X_178,inverse(X_179)),multiply(X_178,commutator(X_179,X_178)))) )],[refute_0_6480,refute_0_6482]) ).
cnf(refute_0_6484,plain,
commutator(multiply(inverse(X_179),X_178),multiply(X_178,commutator(X_179,X_178))) = commutator(X_178,X_179),
inference(resolve,[$cnf( $equal(commutator(multiply(multiply(X_178,inverse(X_179)),commutator(X_178,X_179)),multiply(X_178,commutator(X_179,X_178))),commutator(multiply(X_178,inverse(X_179)),multiply(X_178,commutator(X_179,X_178)))) )],[refute_0_6453,refute_0_6483]) ).
cnf(refute_0_6485,plain,
commutator(multiply(inverse(X_371),inverse(multiply(X,multiply(Y,inverse(X_371))))),multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),commutator(X_371,inverse(multiply(X,multiply(Y,inverse(X_371))))))) = commutator(inverse(multiply(X,multiply(Y,inverse(X_371)))),X_371),
inference(subst,[],[refute_0_6484:[bind(X_178,$fot(inverse(multiply(X,multiply(Y,inverse(X_371)))))),bind(X_179,$fot(X_371))]]) ).
cnf(refute_0_6486,plain,
multiply(inverse(X_371),inverse(multiply(X,multiply(Y,inverse(X_371))))) = inverse(multiply(X,Y)),
inference(subst,[],[refute_0_1367:[bind(X_59,$fot(inverse(X_371)))]]) ).
cnf(refute_0_6487,plain,
( multiply(inverse(X_371),inverse(multiply(X,multiply(Y,inverse(X_371))))) != inverse(multiply(X,Y))
| commutator(multiply(inverse(X_371),inverse(multiply(X,multiply(Y,inverse(X_371))))),multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),commutator(X_371,inverse(multiply(X,multiply(Y,inverse(X_371))))))) != commutator(inverse(multiply(X,multiply(Y,inverse(X_371)))),X_371)
| commutator(inverse(multiply(X,Y)),multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),commutator(X_371,inverse(multiply(X,multiply(Y,inverse(X_371))))))) = commutator(inverse(multiply(X,multiply(Y,inverse(X_371)))),X_371) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(X_371),inverse(multiply(X,multiply(Y,inverse(X_371))))),multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),commutator(X_371,inverse(multiply(X,multiply(Y,inverse(X_371))))))),commutator(inverse(multiply(X,multiply(Y,inverse(X_371)))),X_371)) ),[0,0],$fot(inverse(multiply(X,Y)))]]) ).
cnf(refute_0_6488,plain,
( commutator(multiply(inverse(X_371),inverse(multiply(X,multiply(Y,inverse(X_371))))),multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),commutator(X_371,inverse(multiply(X,multiply(Y,inverse(X_371))))))) != commutator(inverse(multiply(X,multiply(Y,inverse(X_371)))),X_371)
| commutator(inverse(multiply(X,Y)),multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),commutator(X_371,inverse(multiply(X,multiply(Y,inverse(X_371))))))) = commutator(inverse(multiply(X,multiply(Y,inverse(X_371)))),X_371) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_371),inverse(multiply(X,multiply(Y,inverse(X_371))))),inverse(multiply(X,Y))) )],[refute_0_6486,refute_0_6487]) ).
cnf(refute_0_6489,plain,
commutator(inverse(multiply(X,Y)),multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),commutator(X_371,inverse(multiply(X,multiply(Y,inverse(X_371))))))) = commutator(inverse(multiply(X,multiply(Y,inverse(X_371)))),X_371),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_371),inverse(multiply(X,multiply(Y,inverse(X_371))))),multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),commutator(X_371,inverse(multiply(X,multiply(Y,inverse(X_371))))))),commutator(inverse(multiply(X,multiply(Y,inverse(X_371)))),X_371)) )],[refute_0_6485,refute_0_6488]) ).
cnf(refute_0_6490,plain,
commutator(multiply(X_371,commutator(multiply(X,Y),X_371)),multiply(X,Y)) = commutator(X_371,multiply(X,Y)),
inference(subst,[],[refute_0_960:[bind(X_10,$fot(multiply(X,Y))),bind(X_135,$fot(X_371))]]) ).
cnf(refute_0_6491,plain,
commutator(multiply(X_371,multiply(X_371,inverse(multiply(X_371,multiply(X,Y))))),multiply(X,Y)) = commutator(multiply(X_371,commutator(multiply(X,Y),X_371)),multiply(X,Y)),
inference(subst,[],[refute_0_3990:[bind(X_162,$fot(X_371)),bind(X_191,$fot(multiply(X,Y))),bind(X_192,$fot(X_371))]]) ).
cnf(refute_0_6492,plain,
( commutator(multiply(X_371,multiply(X_371,inverse(multiply(X_371,multiply(X,Y))))),multiply(X,Y)) != commutator(multiply(X_371,commutator(multiply(X,Y),X_371)),multiply(X,Y))
| commutator(multiply(X_371,commutator(multiply(X,Y),X_371)),multiply(X,Y)) != commutator(X_371,multiply(X,Y))
| commutator(multiply(X_371,multiply(X_371,inverse(multiply(X_371,multiply(X,Y))))),multiply(X,Y)) = commutator(X_371,multiply(X,Y)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_371,multiply(X_371,inverse(multiply(X_371,multiply(X,Y))))),multiply(X,Y)))),bind(Y0,$fot(commutator(multiply(X_371,commutator(multiply(X,Y),X_371)),multiply(X,Y)))),bind(Z0,$fot(commutator(X_371,multiply(X,Y))))]]) ).
cnf(refute_0_6493,plain,
( commutator(multiply(X_371,commutator(multiply(X,Y),X_371)),multiply(X,Y)) != commutator(X_371,multiply(X,Y))
| commutator(multiply(X_371,multiply(X_371,inverse(multiply(X_371,multiply(X,Y))))),multiply(X,Y)) = commutator(X_371,multiply(X,Y)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_371,multiply(X_371,inverse(multiply(X_371,multiply(X,Y))))),multiply(X,Y)),commutator(multiply(X_371,commutator(multiply(X,Y),X_371)),multiply(X,Y))) )],[refute_0_6491,refute_0_6492]) ).
cnf(refute_0_6494,plain,
commutator(multiply(X_371,multiply(X_371,inverse(multiply(X_371,multiply(X,Y))))),multiply(X,Y)) = commutator(X_371,multiply(X,Y)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_371,commutator(multiply(X,Y),X_371)),multiply(X,Y)),commutator(X_371,multiply(X,Y))) )],[refute_0_6490,refute_0_6493]) ).
cnf(refute_0_6495,plain,
multiply(multiply(X_171,X_172),inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172)))) = inverse(multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,X_172)))),
inference(subst,[],[refute_0_598:[bind(X_10,$fot(multiply(X_173,X_172))),bind(X_58,$fot(multiply(X_171,X_172)))]]) ).
cnf(refute_0_6496,plain,
( multiply(multiply(X_171,X_172),inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172)))) != inverse(multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,X_172))))
| commutator(multiply(X_171,X_172),multiply(X_173,X_172)) != commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))
| multiply(multiply(X_171,X_172),inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172)))) = inverse(multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_171,X_172),inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172)))),inverse(multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,X_172))))) ),[1,0,1],$fot(commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))]]) ).
cnf(refute_0_6497,plain,
( multiply(multiply(X_171,X_172),inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172)))) != inverse(multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,X_172))))
| multiply(multiply(X_171,X_172),inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172)))) = inverse(multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_171,X_172),multiply(X_173,X_172)),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))) )],[refute_0_3700,refute_0_6496]) ).
cnf(refute_0_6498,plain,
multiply(multiply(X_171,X_172),inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172)))) = inverse(multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_171,X_172),inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172)))),inverse(multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,X_172))))) )],[refute_0_6495,refute_0_6497]) ).
cnf(refute_0_6499,plain,
multiply(multiply(X_171,X_172),X_173) = multiply(X_171,multiply(X_172,X_173)),
inference(subst,[],[associativity:[bind(X,$fot(X_171)),bind(Y,$fot(X_172)),bind(Z,$fot(X_173))]]) ).
cnf(refute_0_6500,plain,
inverse(multiply(multiply(X_171,X_172),X_173)) = inverse(multiply(multiply(X_171,X_172),X_173)),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_171,X_172),X_173)))]]) ).
cnf(refute_0_6501,plain,
( multiply(multiply(X_171,X_172),X_173) != multiply(X_171,multiply(X_172,X_173))
| inverse(multiply(multiply(X_171,X_172),X_173)) != inverse(multiply(multiply(X_171,X_172),X_173))
| inverse(multiply(multiply(X_171,X_172),X_173)) = inverse(multiply(X_171,multiply(X_172,X_173))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_171,X_172),X_173)),inverse(multiply(multiply(X_171,X_172),X_173))) ),[1,0],$fot(multiply(X_171,multiply(X_172,X_173)))]]) ).
cnf(refute_0_6502,plain,
( multiply(multiply(X_171,X_172),X_173) != multiply(X_171,multiply(X_172,X_173))
| inverse(multiply(multiply(X_171,X_172),X_173)) = inverse(multiply(X_171,multiply(X_172,X_173))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_171,X_172),X_173)),inverse(multiply(multiply(X_171,X_172),X_173))) )],[refute_0_6500,refute_0_6501]) ).
cnf(refute_0_6503,plain,
inverse(multiply(multiply(X_171,X_172),X_173)) = inverse(multiply(X_171,multiply(X_172,X_173))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_171,X_172),X_173),multiply(X_171,multiply(X_172,X_173))) )],[refute_0_6499,refute_0_6502]) ).
cnf(refute_0_6504,plain,
multiply(X_172,inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172)))) = inverse(multiply(multiply(X_171,X_172),X_173)),
inference(subst,[],[refute_0_1367:[bind(X,$fot(multiply(X_171,X_172))),bind(Y,$fot(X_173)),bind(X_59,$fot(X_172))]]) ).
cnf(refute_0_6505,plain,
( multiply(X_172,inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172)))) != inverse(multiply(multiply(X_171,X_172),X_173))
| inverse(multiply(multiply(X_171,X_172),X_173)) != inverse(multiply(X_171,multiply(X_172,X_173)))
| multiply(X_172,inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172)))) = inverse(multiply(X_171,multiply(X_172,X_173))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_172,inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172)))))),bind(Y0,$fot(inverse(multiply(multiply(X_171,X_172),X_173)))),bind(Z0,$fot(inverse(multiply(X_171,multiply(X_172,X_173)))))]]) ).
cnf(refute_0_6506,plain,
( inverse(multiply(multiply(X_171,X_172),X_173)) != inverse(multiply(X_171,multiply(X_172,X_173)))
| multiply(X_172,inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172)))) = inverse(multiply(X_171,multiply(X_172,X_173))) ),
inference(resolve,[$cnf( $equal(multiply(X_172,inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172)))),inverse(multiply(multiply(X_171,X_172),X_173))) )],[refute_0_6504,refute_0_6505]) ).
cnf(refute_0_6507,plain,
multiply(X_172,inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172)))) = inverse(multiply(X_171,multiply(X_172,X_173))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_171,X_172),X_173)),inverse(multiply(X_171,multiply(X_172,X_173)))) )],[refute_0_6503,refute_0_6506]) ).
cnf(refute_0_6508,plain,
multiply(X_171,multiply(X_172,inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172))))) = multiply(X_171,multiply(X_172,inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172))))),
introduced(tautology,[refl,[$fot(multiply(X_171,multiply(X_172,inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172))))))]]) ).
cnf(refute_0_6509,plain,
( multiply(X_171,multiply(X_172,inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172))))) != multiply(X_171,multiply(X_172,inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172)))))
| multiply(X_172,inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172)))) != inverse(multiply(X_171,multiply(X_172,X_173)))
| multiply(X_171,multiply(X_172,inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172))))) = multiply(X_171,inverse(multiply(X_171,multiply(X_172,X_173)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_171,multiply(X_172,inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172))))),multiply(X_171,multiply(X_172,inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172)))))) ),[1,1],$fot(inverse(multiply(X_171,multiply(X_172,X_173))))]]) ).
cnf(refute_0_6510,plain,
( multiply(X_172,inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172)))) != inverse(multiply(X_171,multiply(X_172,X_173)))
| multiply(X_171,multiply(X_172,inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172))))) = multiply(X_171,inverse(multiply(X_171,multiply(X_172,X_173)))) ),
inference(resolve,[$cnf( $equal(multiply(X_171,multiply(X_172,inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172))))),multiply(X_171,multiply(X_172,inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172)))))) )],[refute_0_6508,refute_0_6509]) ).
cnf(refute_0_6511,plain,
multiply(X_171,multiply(X_172,inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172))))) = multiply(X_171,inverse(multiply(X_171,multiply(X_172,X_173)))),
inference(resolve,[$cnf( $equal(multiply(X_172,inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172)))),inverse(multiply(X_171,multiply(X_172,X_173)))) )],[refute_0_6507,refute_0_6510]) ).
cnf(refute_0_6512,plain,
multiply(multiply(X_171,X_172),inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172)))) = multiply(X_171,multiply(X_172,inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172))))),
inference(subst,[],[associativity:[bind(X,$fot(X_171)),bind(Y,$fot(X_172)),bind(Z,$fot(inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172)))))]]) ).
cnf(refute_0_6513,plain,
( multiply(X_171,multiply(X_172,inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172))))) != multiply(X_171,inverse(multiply(X_171,multiply(X_172,X_173))))
| multiply(multiply(X_171,X_172),inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172)))) != multiply(X_171,multiply(X_172,inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172)))))
| multiply(multiply(X_171,X_172),inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172)))) = multiply(X_171,inverse(multiply(X_171,multiply(X_172,X_173)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_171,X_172),inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172)))))),bind(Y0,$fot(multiply(X_171,multiply(X_172,inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172))))))),bind(Z0,$fot(multiply(X_171,inverse(multiply(X_171,multiply(X_172,X_173))))))]]) ).
cnf(refute_0_6514,plain,
( multiply(X_171,multiply(X_172,inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172))))) != multiply(X_171,inverse(multiply(X_171,multiply(X_172,X_173))))
| multiply(multiply(X_171,X_172),inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172)))) = multiply(X_171,inverse(multiply(X_171,multiply(X_172,X_173)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_171,X_172),inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172)))),multiply(X_171,multiply(X_172,inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172)))))) )],[refute_0_6512,refute_0_6513]) ).
cnf(refute_0_6515,plain,
multiply(multiply(X_171,X_172),inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172)))) = multiply(X_171,inverse(multiply(X_171,multiply(X_172,X_173)))),
inference(resolve,[$cnf( $equal(multiply(X_171,multiply(X_172,inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172))))),multiply(X_171,inverse(multiply(X_171,multiply(X_172,X_173))))) )],[refute_0_6511,refute_0_6514]) ).
cnf(refute_0_6516,plain,
( multiply(multiply(X_171,X_172),inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172)))) != multiply(X_171,inverse(multiply(X_171,multiply(X_172,X_173))))
| multiply(multiply(X_171,X_172),inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172)))) != inverse(multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))))
| multiply(X_171,inverse(multiply(X_171,multiply(X_172,X_173)))) = inverse(multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_171,X_172),inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172)))),inverse(multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))))) ),[0],$fot(multiply(X_171,inverse(multiply(X_171,multiply(X_172,X_173)))))]]) ).
cnf(refute_0_6517,plain,
( multiply(multiply(X_171,X_172),inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172)))) != inverse(multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))))
| multiply(X_171,inverse(multiply(X_171,multiply(X_172,X_173)))) = inverse(multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_171,X_172),inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172)))),multiply(X_171,inverse(multiply(X_171,multiply(X_172,X_173))))) )],[refute_0_6515,refute_0_6516]) ).
cnf(refute_0_6518,plain,
multiply(multiply(X_171,X_172),multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172)))) = multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,X_172))),
inference(subst,[],[refute_0_933:[bind(X_10,$fot(multiply(X_173,X_172))),bind(X_90,$fot(multiply(X_171,X_172)))]]) ).
cnf(refute_0_6519,plain,
( multiply(multiply(X_171,X_172),multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172)))) != multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,X_172)))
| commutator(multiply(X_171,X_172),multiply(X_173,X_172)) != commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))
| multiply(multiply(X_171,X_172),multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172)))) = multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_171,X_172),multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172)))),multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,X_172)))) ),[1,1],$fot(commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))]]) ).
cnf(refute_0_6520,plain,
( multiply(multiply(X_171,X_172),multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172)))) != multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,X_172)))
| multiply(multiply(X_171,X_172),multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172)))) = multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_171,X_172),multiply(X_173,X_172)),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))) )],[refute_0_3700,refute_0_6519]) ).
cnf(refute_0_6521,plain,
multiply(multiply(X_171,X_172),multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172)))) = multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_171,X_172),multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172)))),multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,X_172)))) )],[refute_0_6518,refute_0_6520]) ).
cnf(refute_0_6522,plain,
multiply(X_172,inverse(multiply(X_171,X_172))) = inverse(X_171),
inference(subst,[],[refute_0_176:[bind(X_10,$fot(X_171)),bind(X_57,$fot(X_172))]]) ).
cnf(refute_0_6523,plain,
multiply(X_173,multiply(X_172,inverse(multiply(X_171,X_172)))) = multiply(X_173,multiply(X_172,inverse(multiply(X_171,X_172)))),
introduced(tautology,[refl,[$fot(multiply(X_173,multiply(X_172,inverse(multiply(X_171,X_172)))))]]) ).
cnf(refute_0_6524,plain,
( multiply(X_172,inverse(multiply(X_171,X_172))) != inverse(X_171)
| multiply(X_173,multiply(X_172,inverse(multiply(X_171,X_172)))) != multiply(X_173,multiply(X_172,inverse(multiply(X_171,X_172))))
| multiply(X_173,multiply(X_172,inverse(multiply(X_171,X_172)))) = multiply(X_173,inverse(X_171)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_173,multiply(X_172,inverse(multiply(X_171,X_172)))),multiply(X_173,multiply(X_172,inverse(multiply(X_171,X_172))))) ),[1,1],$fot(inverse(X_171))]]) ).
cnf(refute_0_6525,plain,
( multiply(X_172,inverse(multiply(X_171,X_172))) != inverse(X_171)
| multiply(X_173,multiply(X_172,inverse(multiply(X_171,X_172)))) = multiply(X_173,inverse(X_171)) ),
inference(resolve,[$cnf( $equal(multiply(X_173,multiply(X_172,inverse(multiply(X_171,X_172)))),multiply(X_173,multiply(X_172,inverse(multiply(X_171,X_172))))) )],[refute_0_6523,refute_0_6524]) ).
cnf(refute_0_6526,plain,
multiply(X_173,multiply(X_172,inverse(multiply(X_171,X_172)))) = multiply(X_173,inverse(X_171)),
inference(resolve,[$cnf( $equal(multiply(X_172,inverse(multiply(X_171,X_172))),inverse(X_171)) )],[refute_0_6522,refute_0_6525]) ).
cnf(refute_0_6527,plain,
multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172))) = multiply(X_173,multiply(X_172,inverse(multiply(X_171,X_172)))),
inference(subst,[],[associativity:[bind(X,$fot(X_173)),bind(Y,$fot(X_172)),bind(Z,$fot(inverse(multiply(X_171,X_172))))]]) ).
cnf(refute_0_6528,plain,
( multiply(X_173,multiply(X_172,inverse(multiply(X_171,X_172)))) != multiply(X_173,inverse(X_171))
| multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172))) != multiply(X_173,multiply(X_172,inverse(multiply(X_171,X_172))))
| multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172))) = multiply(X_173,inverse(X_171)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172))))),bind(Y0,$fot(multiply(X_173,multiply(X_172,inverse(multiply(X_171,X_172)))))),bind(Z0,$fot(multiply(X_173,inverse(X_171))))]]) ).
cnf(refute_0_6529,plain,
( multiply(X_173,multiply(X_172,inverse(multiply(X_171,X_172)))) != multiply(X_173,inverse(X_171))
| multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172))) = multiply(X_173,inverse(X_171)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172))),multiply(X_173,multiply(X_172,inverse(multiply(X_171,X_172))))) )],[refute_0_6527,refute_0_6528]) ).
cnf(refute_0_6530,plain,
multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172))) = multiply(X_173,inverse(X_171)),
inference(resolve,[$cnf( $equal(multiply(X_173,multiply(X_172,inverse(multiply(X_171,X_172)))),multiply(X_173,inverse(X_171))) )],[refute_0_6526,refute_0_6529]) ).
cnf(refute_0_6531,plain,
multiply(X_172,multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172)))) = multiply(X_172,multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172)))),
introduced(tautology,[refl,[$fot(multiply(X_172,multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172)))))]]) ).
cnf(refute_0_6532,plain,
( multiply(X_172,multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172)))) != multiply(X_172,multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172))))
| multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172))) != multiply(X_173,inverse(X_171))
| multiply(X_172,multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172)))) = multiply(X_172,multiply(X_173,inverse(X_171))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_172,multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172)))),multiply(X_172,multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172))))) ),[1,1],$fot(multiply(X_173,inverse(X_171)))]]) ).
cnf(refute_0_6533,plain,
( multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172))) != multiply(X_173,inverse(X_171))
| multiply(X_172,multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172)))) = multiply(X_172,multiply(X_173,inverse(X_171))) ),
inference(resolve,[$cnf( $equal(multiply(X_172,multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172)))),multiply(X_172,multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172))))) )],[refute_0_6531,refute_0_6532]) ).
cnf(refute_0_6534,plain,
multiply(X_172,multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172)))) = multiply(X_172,multiply(X_173,inverse(X_171))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172))),multiply(X_173,inverse(X_171))) )],[refute_0_6530,refute_0_6533]) ).
cnf(refute_0_6535,plain,
multiply(X_171,multiply(X_172,multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172))))) = multiply(X_171,multiply(X_172,multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172))))),
introduced(tautology,[refl,[$fot(multiply(X_171,multiply(X_172,multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172))))))]]) ).
cnf(refute_0_6536,plain,
( multiply(X_171,multiply(X_172,multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172))))) != multiply(X_171,multiply(X_172,multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172)))))
| multiply(X_172,multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172)))) != multiply(X_172,multiply(X_173,inverse(X_171)))
| multiply(X_171,multiply(X_172,multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172))))) = multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_171,multiply(X_172,multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172))))),multiply(X_171,multiply(X_172,multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172)))))) ),[1,1],$fot(multiply(X_172,multiply(X_173,inverse(X_171))))]]) ).
cnf(refute_0_6537,plain,
( multiply(X_172,multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172)))) != multiply(X_172,multiply(X_173,inverse(X_171)))
| multiply(X_171,multiply(X_172,multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172))))) = multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171)))) ),
inference(resolve,[$cnf( $equal(multiply(X_171,multiply(X_172,multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172))))),multiply(X_171,multiply(X_172,multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172)))))) )],[refute_0_6535,refute_0_6536]) ).
cnf(refute_0_6538,plain,
multiply(X_171,multiply(X_172,multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172))))) = multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171)))),
inference(resolve,[$cnf( $equal(multiply(X_172,multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172)))),multiply(X_172,multiply(X_173,inverse(X_171)))) )],[refute_0_6534,refute_0_6537]) ).
cnf(refute_0_6539,plain,
multiply(multiply(X_171,X_172),multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172)))) = multiply(X_171,multiply(X_172,multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172))))),
inference(subst,[],[associativity:[bind(X,$fot(X_171)),bind(Y,$fot(X_172)),bind(Z,$fot(multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172)))))]]) ).
cnf(refute_0_6540,plain,
( multiply(X_171,multiply(X_172,multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172))))) != multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171))))
| multiply(multiply(X_171,X_172),multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172)))) != multiply(X_171,multiply(X_172,multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172)))))
| multiply(multiply(X_171,X_172),multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172)))) = multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_171,X_172),multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172)))))),bind(Y0,$fot(multiply(X_171,multiply(X_172,multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172))))))),bind(Z0,$fot(multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171))))))]]) ).
cnf(refute_0_6541,plain,
( multiply(X_171,multiply(X_172,multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172))))) != multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171))))
| multiply(multiply(X_171,X_172),multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172)))) = multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_171,X_172),multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172)))),multiply(X_171,multiply(X_172,multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172)))))) )],[refute_0_6539,refute_0_6540]) ).
cnf(refute_0_6542,plain,
multiply(multiply(X_171,X_172),multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172)))) = multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171)))),
inference(resolve,[$cnf( $equal(multiply(X_171,multiply(X_172,multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172))))),multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171))))) )],[refute_0_6538,refute_0_6541]) ).
cnf(refute_0_6543,plain,
( multiply(multiply(X_171,X_172),multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172)))) != multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171))))
| multiply(multiply(X_171,X_172),multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172)))) != multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))
| multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171)))) = multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_171,X_172),multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172)))),multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))) ),[0],$fot(multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171)))))]]) ).
cnf(refute_0_6544,plain,
( multiply(multiply(X_171,X_172),multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172)))) != multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))
| multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171)))) = multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_171,X_172),multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172)))),multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171))))) )],[refute_0_6542,refute_0_6543]) ).
cnf(refute_0_6545,plain,
multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))) = multiply(X_173,multiply(X_172,commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))),
inference(subst,[],[associativity:[bind(X,$fot(X_173)),bind(Y,$fot(X_172)),bind(Z,$fot(commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))))]]) ).
cnf(refute_0_6546,plain,
( multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171)))) != multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))
| multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))) != multiply(X_173,multiply(X_172,commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))))
| multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171)))) = multiply(X_173,multiply(X_172,commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171)))),multiply(X_173,multiply(X_172,commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))))) ),[0],$fot(multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))))]]) ).
cnf(refute_0_6547,plain,
( multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171)))) != multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))
| multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171)))) = multiply(X_173,multiply(X_172,commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))),multiply(X_173,multiply(X_172,commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))))) )],[refute_0_6545,refute_0_6546]) ).
cnf(refute_0_6548,plain,
( multiply(multiply(X_171,X_172),multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172)))) != multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))
| multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171)))) = multiply(X_173,multiply(X_172,commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))) ),
inference(resolve,[$cnf( $equal(multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171)))),multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))) )],[refute_0_6544,refute_0_6547]) ).
cnf(refute_0_6549,plain,
multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171)))) = multiply(X_173,multiply(X_172,commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_171,X_172),multiply(multiply(X_173,X_172),inverse(multiply(X_171,X_172)))),multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))) )],[refute_0_6521,refute_0_6548]) ).
cnf(refute_0_6550,plain,
( multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171)))) != multiply(X_173,multiply(X_172,commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))))
| multiply(X_173,multiply(X_172,commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))) = multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171)))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171)))))),bind(Y0,$fot(multiply(X_173,multiply(X_172,commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))))))]]) ).
cnf(refute_0_6551,plain,
multiply(X_173,multiply(X_172,commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))) = multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171)))),
inference(resolve,[$cnf( $equal(multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171)))),multiply(X_173,multiply(X_172,commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))))) )],[refute_0_6549,refute_0_6550]) ).
cnf(refute_0_6552,plain,
( multiply(X_173,multiply(X_172,commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))) != multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171))))
| multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))) != multiply(X_173,multiply(X_172,commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))))
| multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))) = multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))))),bind(Y0,$fot(multiply(X_173,multiply(X_172,commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))))),bind(Z0,$fot(multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171))))))]]) ).
cnf(refute_0_6553,plain,
( multiply(X_173,multiply(X_172,commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))) != multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171))))
| multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))) = multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))),multiply(X_173,multiply(X_172,commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))))) )],[refute_0_6545,refute_0_6552]) ).
cnf(refute_0_6554,plain,
multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))) = multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171)))),
inference(resolve,[$cnf( $equal(multiply(X_173,multiply(X_172,commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))),multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171))))) )],[refute_0_6551,refute_0_6553]) ).
cnf(refute_0_6555,plain,
inverse(multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))) = inverse(multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))))]]) ).
cnf(refute_0_6556,plain,
( multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))) != multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171))))
| inverse(multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))) != inverse(multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))))
| inverse(multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))) = inverse(multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))),inverse(multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))))) ),[1,0],$fot(multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171)))))]]) ).
cnf(refute_0_6557,plain,
( multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))) != multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171))))
| inverse(multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))) = inverse(multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))),inverse(multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))))) )],[refute_0_6555,refute_0_6556]) ).
cnf(refute_0_6558,plain,
inverse(multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))) = inverse(multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171))))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))),multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171))))) )],[refute_0_6554,refute_0_6557]) ).
cnf(refute_0_6559,plain,
( multiply(X_171,inverse(multiply(X_171,multiply(X_172,X_173)))) != inverse(multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))))
| inverse(multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))) != inverse(multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171)))))
| multiply(X_171,inverse(multiply(X_171,multiply(X_172,X_173)))) = inverse(multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_171,inverse(multiply(X_171,multiply(X_172,X_173)))),inverse(multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171)))))) ),[0],$fot(inverse(multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))))]]) ).
cnf(refute_0_6560,plain,
( multiply(X_171,inverse(multiply(X_171,multiply(X_172,X_173)))) != inverse(multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))))
| multiply(X_171,inverse(multiply(X_171,multiply(X_172,X_173)))) = inverse(multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171))))),inverse(multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171)))))) )],[refute_0_6558,refute_0_6559]) ).
cnf(refute_0_6561,plain,
( multiply(multiply(X_171,X_172),inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172)))) != inverse(multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))))
| multiply(X_171,inverse(multiply(X_171,multiply(X_172,X_173)))) = inverse(multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171))))) ),
inference(resolve,[$cnf( $equal(multiply(X_171,inverse(multiply(X_171,multiply(X_172,X_173)))),inverse(multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))))) )],[refute_0_6517,refute_0_6560]) ).
cnf(refute_0_6562,plain,
multiply(X_171,inverse(multiply(X_171,multiply(X_172,X_173)))) = inverse(multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171))))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_171,X_172),inverse(multiply(multiply(X_171,X_172),multiply(X_173,X_172)))),inverse(multiply(multiply(X_173,X_172),commutator(multiply(X_171,X_172),multiply(X_173,inverse(X_171)))))) )],[refute_0_6498,refute_0_6561]) ).
cnf(refute_0_6563,plain,
( multiply(X_171,inverse(multiply(X_171,multiply(X_172,X_173)))) != inverse(multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171)))))
| inverse(multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171))))) = multiply(X_171,inverse(multiply(X_171,multiply(X_172,X_173)))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(X_171,inverse(multiply(X_171,multiply(X_172,X_173)))))),bind(Y0,$fot(inverse(multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171)))))))]]) ).
cnf(refute_0_6564,plain,
inverse(multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171))))) = multiply(X_171,inverse(multiply(X_171,multiply(X_172,X_173)))),
inference(resolve,[$cnf( $equal(multiply(X_171,inverse(multiply(X_171,multiply(X_172,X_173)))),inverse(multiply(X_171,multiply(X_172,multiply(X_173,inverse(X_171)))))) )],[refute_0_6562,refute_0_6563]) ).
cnf(refute_0_6565,plain,
inverse(multiply(X_371,multiply(X,multiply(Y,inverse(X_371))))) = multiply(X_371,inverse(multiply(X_371,multiply(X,Y)))),
inference(subst,[],[refute_0_6564:[bind(X_171,$fot(X_371)),bind(X_172,$fot(X)),bind(X_173,$fot(Y))]]) ).
cnf(refute_0_6566,plain,
multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371)) = inverse(multiply(X_371,multiply(X,multiply(Y,inverse(X_371))))),
inference(subst,[],[refute_0_257:[bind(X_10,$fot(multiply(X,multiply(Y,inverse(X_371))))),bind(X_58,$fot(X_371))]]) ).
cnf(refute_0_6567,plain,
( multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371)) != inverse(multiply(X_371,multiply(X,multiply(Y,inverse(X_371)))))
| inverse(multiply(X_371,multiply(X,multiply(Y,inverse(X_371))))) != multiply(X_371,inverse(multiply(X_371,multiply(X,Y))))
| multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371)) = multiply(X_371,inverse(multiply(X_371,multiply(X,Y)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371)))),bind(Y0,$fot(inverse(multiply(X_371,multiply(X,multiply(Y,inverse(X_371))))))),bind(Z0,$fot(multiply(X_371,inverse(multiply(X_371,multiply(X,Y))))))]]) ).
cnf(refute_0_6568,plain,
( inverse(multiply(X_371,multiply(X,multiply(Y,inverse(X_371))))) != multiply(X_371,inverse(multiply(X_371,multiply(X,Y))))
| multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371)) = multiply(X_371,inverse(multiply(X_371,multiply(X,Y)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371)),inverse(multiply(X_371,multiply(X,multiply(Y,inverse(X_371)))))) )],[refute_0_6566,refute_0_6567]) ).
cnf(refute_0_6569,plain,
multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371)) = multiply(X_371,inverse(multiply(X_371,multiply(X,Y)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_371,multiply(X,multiply(Y,inverse(X_371))))),multiply(X_371,inverse(multiply(X_371,multiply(X,Y))))) )],[refute_0_6565,refute_0_6568]) ).
cnf(refute_0_6570,plain,
multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))) = multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))),
introduced(tautology,[refl,[$fot(multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))))]]) ).
cnf(refute_0_6571,plain,
( multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))) != multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371)))
| multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371)) != multiply(X_371,inverse(multiply(X_371,multiply(X,Y))))
| multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))) = multiply(X_371,multiply(X_371,inverse(multiply(X_371,multiply(X,Y))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))),multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371)))) ),[1,1],$fot(multiply(X_371,inverse(multiply(X_371,multiply(X,Y)))))]]) ).
cnf(refute_0_6572,plain,
( multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371)) != multiply(X_371,inverse(multiply(X_371,multiply(X,Y))))
| multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))) = multiply(X_371,multiply(X_371,inverse(multiply(X_371,multiply(X,Y))))) ),
inference(resolve,[$cnf( $equal(multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))),multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371)))) )],[refute_0_6570,refute_0_6571]) ).
cnf(refute_0_6573,plain,
multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))) = multiply(X_371,multiply(X_371,inverse(multiply(X_371,multiply(X,Y))))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371)),multiply(X_371,inverse(multiply(X_371,multiply(X,Y))))) )],[refute_0_6569,refute_0_6572]) ).
cnf(refute_0_6574,plain,
commutator(multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))),multiply(X,Y)) = commutator(multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))),multiply(X,Y)),
introduced(tautology,[refl,[$fot(commutator(multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))),multiply(X,Y)))]]) ).
cnf(refute_0_6575,plain,
( multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))) != multiply(X_371,multiply(X_371,inverse(multiply(X_371,multiply(X,Y)))))
| commutator(multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))),multiply(X,Y)) != commutator(multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))),multiply(X,Y))
| commutator(multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))),multiply(X,Y)) = commutator(multiply(X_371,multiply(X_371,inverse(multiply(X_371,multiply(X,Y))))),multiply(X,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))),multiply(X,Y)),commutator(multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))),multiply(X,Y))) ),[1,0],$fot(multiply(X_371,multiply(X_371,inverse(multiply(X_371,multiply(X,Y))))))]]) ).
cnf(refute_0_6576,plain,
( multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))) != multiply(X_371,multiply(X_371,inverse(multiply(X_371,multiply(X,Y)))))
| commutator(multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))),multiply(X,Y)) = commutator(multiply(X_371,multiply(X_371,inverse(multiply(X_371,multiply(X,Y))))),multiply(X,Y)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))),multiply(X,Y)),commutator(multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))),multiply(X,Y))) )],[refute_0_6574,refute_0_6575]) ).
cnf(refute_0_6577,plain,
commutator(multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))),multiply(X,Y)) = commutator(multiply(X_371,multiply(X_371,inverse(multiply(X_371,multiply(X,Y))))),multiply(X,Y)),
inference(resolve,[$cnf( $equal(multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))),multiply(X_371,multiply(X_371,inverse(multiply(X_371,multiply(X,Y)))))) )],[refute_0_6573,refute_0_6576]) ).
cnf(refute_0_6578,plain,
( commutator(multiply(X_371,multiply(X_371,inverse(multiply(X_371,multiply(X,Y))))),multiply(X,Y)) != commutator(X_371,multiply(X,Y))
| commutator(multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))),multiply(X,Y)) != commutator(multiply(X_371,multiply(X_371,inverse(multiply(X_371,multiply(X,Y))))),multiply(X,Y))
| commutator(multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))),multiply(X,Y)) = commutator(X_371,multiply(X,Y)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))),multiply(X,Y)))),bind(Y0,$fot(commutator(multiply(X_371,multiply(X_371,inverse(multiply(X_371,multiply(X,Y))))),multiply(X,Y)))),bind(Z0,$fot(commutator(X_371,multiply(X,Y))))]]) ).
cnf(refute_0_6579,plain,
( commutator(multiply(X_371,multiply(X_371,inverse(multiply(X_371,multiply(X,Y))))),multiply(X,Y)) != commutator(X_371,multiply(X,Y))
| commutator(multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))),multiply(X,Y)) = commutator(X_371,multiply(X,Y)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))),multiply(X,Y)),commutator(multiply(X_371,multiply(X_371,inverse(multiply(X_371,multiply(X,Y))))),multiply(X,Y))) )],[refute_0_6577,refute_0_6578]) ).
cnf(refute_0_6580,plain,
commutator(multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))),multiply(X,Y)) = commutator(X_371,multiply(X,Y)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_371,multiply(X_371,inverse(multiply(X_371,multiply(X,Y))))),multiply(X,Y)),commutator(X_371,multiply(X,Y))) )],[refute_0_6494,refute_0_6579]) ).
cnf(refute_0_6581,plain,
commutator(inverse(multiply(X,Y)),multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371)))) = commutator(multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))),multiply(X,Y)),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(multiply(X,Y))),bind(X_110,$fot(multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371)))))]]) ).
cnf(refute_0_6582,plain,
commutator(X_244,multiply(X_246,multiply(X_10,inverse(X_246)))) = multiply(X_244,multiply(X_246,multiply(multiply(X_10,inverse(X_246)),inverse(multiply(X_246,multiply(multiply(X_10,inverse(X_246)),X_244)))))),
inference(subst,[],[refute_0_3260:[bind(X_10,$fot(X_244)),bind(X_161,$fot(multiply(X_10,inverse(X_246)))),bind(X_162,$fot(X_246))]]) ).
cnf(refute_0_6583,plain,
multiply(X_246,multiply(X_10,inverse(X_246))) = multiply(X_10,commutator(X_246,X_10)),
inference(subst,[],[refute_0_933:[bind(X_90,$fot(X_246))]]) ).
cnf(refute_0_6584,plain,
( multiply(X_246,multiply(X_10,inverse(X_246))) != multiply(X_10,commutator(X_246,X_10))
| commutator(X_244,multiply(X_246,multiply(X_10,inverse(X_246)))) != multiply(X_244,multiply(X_246,multiply(multiply(X_10,inverse(X_246)),inverse(multiply(X_246,multiply(multiply(X_10,inverse(X_246)),X_244))))))
| commutator(X_244,multiply(X_10,commutator(X_246,X_10))) = multiply(X_244,multiply(X_246,multiply(multiply(X_10,inverse(X_246)),inverse(multiply(X_246,multiply(multiply(X_10,inverse(X_246)),X_244)))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_244,multiply(X_246,multiply(X_10,inverse(X_246)))),multiply(X_244,multiply(X_246,multiply(multiply(X_10,inverse(X_246)),inverse(multiply(X_246,multiply(multiply(X_10,inverse(X_246)),X_244))))))) ),[0,1],$fot(multiply(X_10,commutator(X_246,X_10)))]]) ).
cnf(refute_0_6585,plain,
( commutator(X_244,multiply(X_246,multiply(X_10,inverse(X_246)))) != multiply(X_244,multiply(X_246,multiply(multiply(X_10,inverse(X_246)),inverse(multiply(X_246,multiply(multiply(X_10,inverse(X_246)),X_244))))))
| commutator(X_244,multiply(X_10,commutator(X_246,X_10))) = multiply(X_244,multiply(X_246,multiply(multiply(X_10,inverse(X_246)),inverse(multiply(X_246,multiply(multiply(X_10,inverse(X_246)),X_244)))))) ),
inference(resolve,[$cnf( $equal(multiply(X_246,multiply(X_10,inverse(X_246))),multiply(X_10,commutator(X_246,X_10))) )],[refute_0_6583,refute_0_6584]) ).
cnf(refute_0_6586,plain,
commutator(X_244,multiply(X_10,commutator(X_246,X_10))) = multiply(X_244,multiply(X_246,multiply(multiply(X_10,inverse(X_246)),inverse(multiply(X_246,multiply(multiply(X_10,inverse(X_246)),X_244)))))),
inference(resolve,[$cnf( $equal(commutator(X_244,multiply(X_246,multiply(X_10,inverse(X_246)))),multiply(X_244,multiply(X_246,multiply(multiply(X_10,inverse(X_246)),inverse(multiply(X_246,multiply(multiply(X_10,inverse(X_246)),X_244))))))) )],[refute_0_6582,refute_0_6585]) ).
cnf(refute_0_6587,plain,
multiply(X_244,multiply(X_246,multiply(multiply(X_10,inverse(X_246)),inverse(multiply(X_246,multiply(multiply(X_10,inverse(X_246)),X_244)))))) = commutator(X_244,multiply(X_246,multiply(X_10,inverse(X_246)))),
inference(subst,[],[refute_0_5502:[bind(X_10,$fot(X_244)),bind(X_161,$fot(multiply(X_10,inverse(X_246)))),bind(X_162,$fot(X_246))]]) ).
cnf(refute_0_6588,plain,
( multiply(X_244,multiply(X_246,multiply(multiply(X_10,inverse(X_246)),inverse(multiply(X_246,multiply(multiply(X_10,inverse(X_246)),X_244)))))) != commutator(X_244,multiply(X_246,multiply(X_10,inverse(X_246))))
| commutator(X_244,multiply(X_10,commutator(X_246,X_10))) != multiply(X_244,multiply(X_246,multiply(multiply(X_10,inverse(X_246)),inverse(multiply(X_246,multiply(multiply(X_10,inverse(X_246)),X_244))))))
| commutator(X_244,multiply(X_10,commutator(X_246,X_10))) = commutator(X_244,multiply(X_246,multiply(X_10,inverse(X_246)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_244,multiply(X_10,commutator(X_246,X_10))),multiply(X_244,multiply(X_246,multiply(multiply(X_10,inverse(X_246)),inverse(multiply(X_246,multiply(multiply(X_10,inverse(X_246)),X_244))))))) ),[1],$fot(commutator(X_244,multiply(X_246,multiply(X_10,inverse(X_246)))))]]) ).
cnf(refute_0_6589,plain,
( commutator(X_244,multiply(X_10,commutator(X_246,X_10))) != multiply(X_244,multiply(X_246,multiply(multiply(X_10,inverse(X_246)),inverse(multiply(X_246,multiply(multiply(X_10,inverse(X_246)),X_244))))))
| commutator(X_244,multiply(X_10,commutator(X_246,X_10))) = commutator(X_244,multiply(X_246,multiply(X_10,inverse(X_246)))) ),
inference(resolve,[$cnf( $equal(multiply(X_244,multiply(X_246,multiply(multiply(X_10,inverse(X_246)),inverse(multiply(X_246,multiply(multiply(X_10,inverse(X_246)),X_244)))))),commutator(X_244,multiply(X_246,multiply(X_10,inverse(X_246))))) )],[refute_0_6587,refute_0_6588]) ).
cnf(refute_0_6590,plain,
commutator(X_244,multiply(X_10,commutator(X_246,X_10))) = commutator(X_244,multiply(X_246,multiply(X_10,inverse(X_246)))),
inference(resolve,[$cnf( $equal(commutator(X_244,multiply(X_10,commutator(X_246,X_10))),multiply(X_244,multiply(X_246,multiply(multiply(X_10,inverse(X_246)),inverse(multiply(X_246,multiply(multiply(X_10,inverse(X_246)),X_244))))))) )],[refute_0_6586,refute_0_6589]) ).
cnf(refute_0_6591,plain,
commutator(inverse(multiply(X,Y)),multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),commutator(X_371,inverse(multiply(X,multiply(Y,inverse(X_371))))))) = commutator(inverse(multiply(X,Y)),multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371)))),
inference(subst,[],[refute_0_6590:[bind(X_10,$fot(inverse(multiply(X,multiply(Y,inverse(X_371)))))),bind(X_244,$fot(inverse(multiply(X,Y)))),bind(X_246,$fot(X_371))]]) ).
cnf(refute_0_6592,plain,
( commutator(inverse(multiply(X,Y)),multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371)))) != commutator(multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))),multiply(X,Y))
| commutator(inverse(multiply(X,Y)),multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),commutator(X_371,inverse(multiply(X,multiply(Y,inverse(X_371))))))) != commutator(inverse(multiply(X,Y)),multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))))
| commutator(inverse(multiply(X,Y)),multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),commutator(X_371,inverse(multiply(X,multiply(Y,inverse(X_371))))))) = commutator(multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))),multiply(X,Y)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(inverse(multiply(X,Y)),multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),commutator(X_371,inverse(multiply(X,multiply(Y,inverse(X_371))))))))),bind(Y0,$fot(commutator(inverse(multiply(X,Y)),multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371)))))),bind(Z0,$fot(commutator(multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))),multiply(X,Y))))]]) ).
cnf(refute_0_6593,plain,
( commutator(inverse(multiply(X,Y)),multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371)))) != commutator(multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))),multiply(X,Y))
| commutator(inverse(multiply(X,Y)),multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),commutator(X_371,inverse(multiply(X,multiply(Y,inverse(X_371))))))) = commutator(multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))),multiply(X,Y)) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X,Y)),multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),commutator(X_371,inverse(multiply(X,multiply(Y,inverse(X_371))))))),commutator(inverse(multiply(X,Y)),multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))))) )],[refute_0_6591,refute_0_6592]) ).
cnf(refute_0_6594,plain,
commutator(inverse(multiply(X,Y)),multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),commutator(X_371,inverse(multiply(X,multiply(Y,inverse(X_371))))))) = commutator(multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))),multiply(X,Y)),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X,Y)),multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371)))),commutator(multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))),multiply(X,Y))) )],[refute_0_6581,refute_0_6593]) ).
cnf(refute_0_6595,plain,
( commutator(multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))),multiply(X,Y)) != commutator(X_371,multiply(X,Y))
| commutator(inverse(multiply(X,Y)),multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),commutator(X_371,inverse(multiply(X,multiply(Y,inverse(X_371))))))) != commutator(multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))),multiply(X,Y))
| commutator(inverse(multiply(X,Y)),multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),commutator(X_371,inverse(multiply(X,multiply(Y,inverse(X_371))))))) = commutator(X_371,multiply(X,Y)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(inverse(multiply(X,Y)),multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),commutator(X_371,inverse(multiply(X,multiply(Y,inverse(X_371))))))))),bind(Y0,$fot(commutator(multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))),multiply(X,Y)))),bind(Z0,$fot(commutator(X_371,multiply(X,Y))))]]) ).
cnf(refute_0_6596,plain,
( commutator(multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))),multiply(X,Y)) != commutator(X_371,multiply(X,Y))
| commutator(inverse(multiply(X,Y)),multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),commutator(X_371,inverse(multiply(X,multiply(Y,inverse(X_371))))))) = commutator(X_371,multiply(X,Y)) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X,Y)),multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),commutator(X_371,inverse(multiply(X,multiply(Y,inverse(X_371))))))),commutator(multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))),multiply(X,Y))) )],[refute_0_6594,refute_0_6595]) ).
cnf(refute_0_6597,plain,
commutator(inverse(multiply(X,Y)),multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),commutator(X_371,inverse(multiply(X,multiply(Y,inverse(X_371))))))) = commutator(X_371,multiply(X,Y)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_371,multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),inverse(X_371))),multiply(X,Y)),commutator(X_371,multiply(X,Y))) )],[refute_0_6580,refute_0_6596]) ).
cnf(refute_0_6598,plain,
( commutator(inverse(multiply(X,Y)),multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),commutator(X_371,inverse(multiply(X,multiply(Y,inverse(X_371))))))) != commutator(X_371,multiply(X,Y))
| commutator(inverse(multiply(X,Y)),multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),commutator(X_371,inverse(multiply(X,multiply(Y,inverse(X_371))))))) != commutator(inverse(multiply(X,multiply(Y,inverse(X_371)))),X_371)
| commutator(X_371,multiply(X,Y)) = commutator(inverse(multiply(X,multiply(Y,inverse(X_371)))),X_371) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(multiply(X,Y)),multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),commutator(X_371,inverse(multiply(X,multiply(Y,inverse(X_371))))))),commutator(inverse(multiply(X,multiply(Y,inverse(X_371)))),X_371)) ),[0],$fot(commutator(X_371,multiply(X,Y)))]]) ).
cnf(refute_0_6599,plain,
( commutator(inverse(multiply(X,Y)),multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),commutator(X_371,inverse(multiply(X,multiply(Y,inverse(X_371))))))) != commutator(inverse(multiply(X,multiply(Y,inverse(X_371)))),X_371)
| commutator(X_371,multiply(X,Y)) = commutator(inverse(multiply(X,multiply(Y,inverse(X_371)))),X_371) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X,Y)),multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),commutator(X_371,inverse(multiply(X,multiply(Y,inverse(X_371))))))),commutator(X_371,multiply(X,Y))) )],[refute_0_6597,refute_0_6598]) ).
cnf(refute_0_6600,plain,
commutator(inverse(multiply(X,multiply(Y,inverse(X_371)))),X_371) = commutator(X_371,multiply(X,multiply(Y,inverse(X_371)))),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(multiply(X,multiply(Y,inverse(X_371))))),bind(X_110,$fot(X_371))]]) ).
cnf(refute_0_6601,plain,
( commutator(X_371,multiply(X,Y)) != commutator(inverse(multiply(X,multiply(Y,inverse(X_371)))),X_371)
| commutator(inverse(multiply(X,multiply(Y,inverse(X_371)))),X_371) != commutator(X_371,multiply(X,multiply(Y,inverse(X_371))))
| commutator(X_371,multiply(X,Y)) = commutator(X_371,multiply(X,multiply(Y,inverse(X_371)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(X_371,multiply(X,Y)),commutator(X_371,multiply(X,multiply(Y,inverse(X_371))))) ),[0],$fot(commutator(inverse(multiply(X,multiply(Y,inverse(X_371)))),X_371))]]) ).
cnf(refute_0_6602,plain,
( commutator(X_371,multiply(X,Y)) != commutator(inverse(multiply(X,multiply(Y,inverse(X_371)))),X_371)
| commutator(X_371,multiply(X,Y)) = commutator(X_371,multiply(X,multiply(Y,inverse(X_371)))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X,multiply(Y,inverse(X_371)))),X_371),commutator(X_371,multiply(X,multiply(Y,inverse(X_371))))) )],[refute_0_6600,refute_0_6601]) ).
cnf(refute_0_6603,plain,
( commutator(inverse(multiply(X,Y)),multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),commutator(X_371,inverse(multiply(X,multiply(Y,inverse(X_371))))))) != commutator(inverse(multiply(X,multiply(Y,inverse(X_371)))),X_371)
| commutator(X_371,multiply(X,Y)) = commutator(X_371,multiply(X,multiply(Y,inverse(X_371)))) ),
inference(resolve,[$cnf( $equal(commutator(X_371,multiply(X,Y)),commutator(inverse(multiply(X,multiply(Y,inverse(X_371)))),X_371)) )],[refute_0_6599,refute_0_6602]) ).
cnf(refute_0_6604,plain,
commutator(X_371,multiply(X,Y)) = commutator(X_371,multiply(X,multiply(Y,inverse(X_371)))),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X,Y)),multiply(inverse(multiply(X,multiply(Y,inverse(X_371)))),commutator(X_371,inverse(multiply(X,multiply(Y,inverse(X_371))))))),commutator(inverse(multiply(X,multiply(Y,inverse(X_371)))),X_371)) )],[refute_0_6489,refute_0_6603]) ).
cnf(refute_0_6605,plain,
( commutator(X_371,multiply(X,Y)) != commutator(X_371,multiply(X,multiply(Y,inverse(X_371))))
| commutator(X_371,multiply(X,multiply(Y,inverse(X_371)))) = commutator(X_371,multiply(X,Y)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_371,multiply(X,Y)))),bind(Y0,$fot(commutator(X_371,multiply(X,multiply(Y,inverse(X_371))))))]]) ).
cnf(refute_0_6606,plain,
commutator(X_371,multiply(X,multiply(Y,inverse(X_371)))) = commutator(X_371,multiply(X,Y)),
inference(resolve,[$cnf( $equal(commutator(X_371,multiply(X,Y)),commutator(X_371,multiply(X,multiply(Y,inverse(X_371))))) )],[refute_0_6604,refute_0_6605]) ).
cnf(refute_0_6607,plain,
commutator(X_373,multiply(inverse(Z),multiply(X_58,inverse(X_373)))) = commutator(X_373,multiply(inverse(Z),X_58)),
inference(subst,[],[refute_0_6606:[bind(X,$fot(inverse(Z))),bind(Y,$fot(X_58)),bind(X_371,$fot(X_373))]]) ).
cnf(refute_0_6608,plain,
commutator(X_10,multiply(X_10,multiply(inverse(multiply(X_367,X_10)),X_366))) = commutator(X_10,multiply(inverse(multiply(X_367,X_10)),X_366)),
inference(subst,[],[refute_0_455:[bind(X_11,$fot(multiply(inverse(multiply(X_367,X_10)),X_366)))]]) ).
cnf(refute_0_6609,plain,
multiply(inverse(X_367),X_366) = multiply(X_10,multiply(inverse(multiply(X_367,X_10)),X_366)),
inference(subst,[],[refute_0_660:[bind(X,$fot(X_10)),bind(Z,$fot(X_366)),bind(X_58,$fot(X_367))]]) ).
cnf(refute_0_6610,plain,
( multiply(inverse(X_367),X_366) != multiply(X_10,multiply(inverse(multiply(X_367,X_10)),X_366))
| multiply(X_10,multiply(inverse(multiply(X_367,X_10)),X_366)) = multiply(inverse(X_367),X_366) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(inverse(X_367),X_366))),bind(Y0,$fot(multiply(X_10,multiply(inverse(multiply(X_367,X_10)),X_366))))]]) ).
cnf(refute_0_6611,plain,
multiply(X_10,multiply(inverse(multiply(X_367,X_10)),X_366)) = multiply(inverse(X_367),X_366),
inference(resolve,[$cnf( $equal(multiply(inverse(X_367),X_366),multiply(X_10,multiply(inverse(multiply(X_367,X_10)),X_366))) )],[refute_0_6609,refute_0_6610]) ).
cnf(refute_0_6612,plain,
( multiply(X_10,multiply(inverse(multiply(X_367,X_10)),X_366)) != multiply(inverse(X_367),X_366)
| commutator(X_10,multiply(X_10,multiply(inverse(multiply(X_367,X_10)),X_366))) != commutator(X_10,multiply(inverse(multiply(X_367,X_10)),X_366))
| commutator(X_10,multiply(inverse(X_367),X_366)) = commutator(X_10,multiply(inverse(multiply(X_367,X_10)),X_366)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_10,multiply(X_10,multiply(inverse(multiply(X_367,X_10)),X_366))),commutator(X_10,multiply(inverse(multiply(X_367,X_10)),X_366))) ),[0,1],$fot(multiply(inverse(X_367),X_366))]]) ).
cnf(refute_0_6613,plain,
( commutator(X_10,multiply(X_10,multiply(inverse(multiply(X_367,X_10)),X_366))) != commutator(X_10,multiply(inverse(multiply(X_367,X_10)),X_366))
| commutator(X_10,multiply(inverse(X_367),X_366)) = commutator(X_10,multiply(inverse(multiply(X_367,X_10)),X_366)) ),
inference(resolve,[$cnf( $equal(multiply(X_10,multiply(inverse(multiply(X_367,X_10)),X_366)),multiply(inverse(X_367),X_366)) )],[refute_0_6611,refute_0_6612]) ).
cnf(refute_0_6614,plain,
commutator(X_10,multiply(inverse(X_367),X_366)) = commutator(X_10,multiply(inverse(multiply(X_367,X_10)),X_366)),
inference(resolve,[$cnf( $equal(commutator(X_10,multiply(X_10,multiply(inverse(multiply(X_367,X_10)),X_366))),commutator(X_10,multiply(inverse(multiply(X_367,X_10)),X_366))) )],[refute_0_6608,refute_0_6613]) ).
cnf(refute_0_6615,plain,
commutator(multiply(X_179,multiply(inverse(multiply(X_367,X_179)),X_366)),multiply(multiply(inverse(multiply(X_367,X_179)),X_366),commutator(X_179,multiply(inverse(multiply(X_367,X_179)),X_366)))) = commutator(X_179,multiply(inverse(multiply(X_367,X_179)),X_366)),
inference(subst,[],[refute_0_1812:[bind(X_109,$fot(multiply(inverse(multiply(X_367,X_179)),X_366)))]]) ).
cnf(refute_0_6616,plain,
multiply(inverse(X_367),X_366) = multiply(X_179,multiply(inverse(multiply(X_367,X_179)),X_366)),
inference(subst,[],[refute_0_660:[bind(X,$fot(X_179)),bind(Z,$fot(X_366)),bind(X_58,$fot(X_367))]]) ).
cnf(refute_0_6617,plain,
( multiply(inverse(X_367),X_366) != multiply(X_179,multiply(inverse(multiply(X_367,X_179)),X_366))
| multiply(X_179,multiply(inverse(multiply(X_367,X_179)),X_366)) = multiply(inverse(X_367),X_366) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(inverse(X_367),X_366))),bind(Y0,$fot(multiply(X_179,multiply(inverse(multiply(X_367,X_179)),X_366))))]]) ).
cnf(refute_0_6618,plain,
multiply(X_179,multiply(inverse(multiply(X_367,X_179)),X_366)) = multiply(inverse(X_367),X_366),
inference(resolve,[$cnf( $equal(multiply(inverse(X_367),X_366),multiply(X_179,multiply(inverse(multiply(X_367,X_179)),X_366))) )],[refute_0_6616,refute_0_6617]) ).
cnf(refute_0_6619,plain,
( multiply(X_179,multiply(inverse(multiply(X_367,X_179)),X_366)) != multiply(inverse(X_367),X_366)
| commutator(multiply(X_179,multiply(inverse(multiply(X_367,X_179)),X_366)),multiply(multiply(inverse(multiply(X_367,X_179)),X_366),commutator(X_179,multiply(inverse(multiply(X_367,X_179)),X_366)))) != commutator(X_179,multiply(inverse(multiply(X_367,X_179)),X_366))
| commutator(multiply(inverse(X_367),X_366),multiply(multiply(inverse(multiply(X_367,X_179)),X_366),commutator(X_179,multiply(inverse(multiply(X_367,X_179)),X_366)))) = commutator(X_179,multiply(inverse(multiply(X_367,X_179)),X_366)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_179,multiply(inverse(multiply(X_367,X_179)),X_366)),multiply(multiply(inverse(multiply(X_367,X_179)),X_366),commutator(X_179,multiply(inverse(multiply(X_367,X_179)),X_366)))),commutator(X_179,multiply(inverse(multiply(X_367,X_179)),X_366))) ),[0,0],$fot(multiply(inverse(X_367),X_366))]]) ).
cnf(refute_0_6620,plain,
( commutator(multiply(X_179,multiply(inverse(multiply(X_367,X_179)),X_366)),multiply(multiply(inverse(multiply(X_367,X_179)),X_366),commutator(X_179,multiply(inverse(multiply(X_367,X_179)),X_366)))) != commutator(X_179,multiply(inverse(multiply(X_367,X_179)),X_366))
| commutator(multiply(inverse(X_367),X_366),multiply(multiply(inverse(multiply(X_367,X_179)),X_366),commutator(X_179,multiply(inverse(multiply(X_367,X_179)),X_366)))) = commutator(X_179,multiply(inverse(multiply(X_367,X_179)),X_366)) ),
inference(resolve,[$cnf( $equal(multiply(X_179,multiply(inverse(multiply(X_367,X_179)),X_366)),multiply(inverse(X_367),X_366)) )],[refute_0_6618,refute_0_6619]) ).
cnf(refute_0_6621,plain,
commutator(multiply(inverse(X_367),X_366),multiply(multiply(inverse(multiply(X_367,X_179)),X_366),commutator(X_179,multiply(inverse(multiply(X_367,X_179)),X_366)))) = commutator(X_179,multiply(inverse(multiply(X_367,X_179)),X_366)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_179,multiply(inverse(multiply(X_367,X_179)),X_366)),multiply(multiply(inverse(multiply(X_367,X_179)),X_366),commutator(X_179,multiply(inverse(multiply(X_367,X_179)),X_366)))),commutator(X_179,multiply(inverse(multiply(X_367,X_179)),X_366))) )],[refute_0_6615,refute_0_6620]) ).
cnf(refute_0_6622,plain,
commutator(multiply(inverse(X_366),X_367),multiply(X_179,multiply(inverse(X_366),X_367))) = commutator(multiply(inverse(X_366),X_367),X_179),
inference(subst,[],[refute_0_4212:[bind(X_10,$fot(X_179)),bind(X_84,$fot(multiply(inverse(X_366),X_367)))]]) ).
cnf(refute_0_6623,plain,
commutator(multiply(X_179,multiply(inverse(X_366),X_367)),multiply(inverse(X_367),X_366)) = commutator(multiply(inverse(X_366),X_367),multiply(X_179,multiply(inverse(X_366),X_367))),
inference(subst,[],[refute_0_5990:[bind(Z,$fot(X_367)),bind(X_114,$fot(multiply(X_179,multiply(inverse(X_366),X_367)))),bind(X_61,$fot(X_366))]]) ).
cnf(refute_0_6624,plain,
( commutator(multiply(X_179,multiply(inverse(X_366),X_367)),multiply(inverse(X_367),X_366)) != commutator(multiply(inverse(X_366),X_367),multiply(X_179,multiply(inverse(X_366),X_367)))
| commutator(multiply(inverse(X_366),X_367),multiply(X_179,multiply(inverse(X_366),X_367))) != commutator(multiply(inverse(X_366),X_367),X_179)
| commutator(multiply(X_179,multiply(inverse(X_366),X_367)),multiply(inverse(X_367),X_366)) = commutator(multiply(inverse(X_366),X_367),X_179) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_179,multiply(inverse(X_366),X_367)),multiply(inverse(X_367),X_366)))),bind(Y0,$fot(commutator(multiply(inverse(X_366),X_367),multiply(X_179,multiply(inverse(X_366),X_367))))),bind(Z0,$fot(commutator(multiply(inverse(X_366),X_367),X_179)))]]) ).
cnf(refute_0_6625,plain,
( commutator(multiply(inverse(X_366),X_367),multiply(X_179,multiply(inverse(X_366),X_367))) != commutator(multiply(inverse(X_366),X_367),X_179)
| commutator(multiply(X_179,multiply(inverse(X_366),X_367)),multiply(inverse(X_367),X_366)) = commutator(multiply(inverse(X_366),X_367),X_179) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_179,multiply(inverse(X_366),X_367)),multiply(inverse(X_367),X_366)),commutator(multiply(inverse(X_366),X_367),multiply(X_179,multiply(inverse(X_366),X_367)))) )],[refute_0_6623,refute_0_6624]) ).
cnf(refute_0_6626,plain,
commutator(multiply(X_179,multiply(inverse(X_366),X_367)),multiply(inverse(X_367),X_366)) = commutator(multiply(inverse(X_366),X_367),X_179),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_366),X_367),multiply(X_179,multiply(inverse(X_366),X_367))),commutator(multiply(inverse(X_366),X_367),X_179)) )],[refute_0_6622,refute_0_6625]) ).
cnf(refute_0_6627,plain,
commutator(multiply(inverse(X_367),X_366),inverse(multiply(X_179,multiply(inverse(X_366),X_367)))) = commutator(multiply(X_179,multiply(inverse(X_366),X_367)),multiply(inverse(X_367),X_366)),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(multiply(X_179,multiply(inverse(X_366),X_367)))),bind(X_110,$fot(multiply(inverse(X_367),X_366)))]]) ).
cnf(refute_0_6628,plain,
( commutator(multiply(X_179,multiply(inverse(X_366),X_367)),multiply(inverse(X_367),X_366)) != commutator(multiply(inverse(X_366),X_367),X_179)
| commutator(multiply(inverse(X_367),X_366),inverse(multiply(X_179,multiply(inverse(X_366),X_367)))) != commutator(multiply(X_179,multiply(inverse(X_366),X_367)),multiply(inverse(X_367),X_366))
| commutator(multiply(inverse(X_367),X_366),inverse(multiply(X_179,multiply(inverse(X_366),X_367)))) = commutator(multiply(inverse(X_366),X_367),X_179) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(inverse(X_367),X_366),inverse(multiply(X_179,multiply(inverse(X_366),X_367)))))),bind(Y0,$fot(commutator(multiply(X_179,multiply(inverse(X_366),X_367)),multiply(inverse(X_367),X_366)))),bind(Z0,$fot(commutator(multiply(inverse(X_366),X_367),X_179)))]]) ).
cnf(refute_0_6629,plain,
( commutator(multiply(X_179,multiply(inverse(X_366),X_367)),multiply(inverse(X_367),X_366)) != commutator(multiply(inverse(X_366),X_367),X_179)
| commutator(multiply(inverse(X_367),X_366),inverse(multiply(X_179,multiply(inverse(X_366),X_367)))) = commutator(multiply(inverse(X_366),X_367),X_179) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_367),X_366),inverse(multiply(X_179,multiply(inverse(X_366),X_367)))),commutator(multiply(X_179,multiply(inverse(X_366),X_367)),multiply(inverse(X_367),X_366))) )],[refute_0_6627,refute_0_6628]) ).
cnf(refute_0_6630,plain,
commutator(multiply(inverse(X_367),X_366),inverse(multiply(X_179,multiply(inverse(X_366),X_367)))) = commutator(multiply(inverse(X_366),X_367),X_179),
inference(resolve,[$cnf( $equal(commutator(multiply(X_179,multiply(inverse(X_366),X_367)),multiply(inverse(X_367),X_366)),commutator(multiply(inverse(X_366),X_367),X_179)) )],[refute_0_6626,refute_0_6629]) ).
cnf(refute_0_6631,plain,
multiply(X_179,inverse(multiply(X_179,multiply(inverse(X_366),multiply(X_367,X_179))))) = inverse(multiply(X_179,multiply(inverse(X_366),X_367))),
inference(subst,[],[refute_0_6000:[bind(X,$fot(inverse(X_366))),bind(Y,$fot(X_367)),bind(X_163,$fot(X_179)),bind(X_165,$fot(X_179))]]) ).
cnf(refute_0_6632,plain,
multiply(inverse(multiply(X_367,X_179)),multiply(X_366,inverse(X_179))) = inverse(multiply(X_179,multiply(inverse(X_366),multiply(X_367,X_179)))),
inference(subst,[],[refute_0_1684:[bind(X_58,$fot(X_179)),bind(X_73,$fot(multiply(X_367,X_179))),bind(X_74,$fot(X_366))]]) ).
cnf(refute_0_6633,plain,
multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179)) = multiply(inverse(multiply(X_367,X_179)),multiply(X_366,inverse(X_179))),
inference(subst,[],[associativity:[bind(X,$fot(inverse(multiply(X_367,X_179)))),bind(Y,$fot(X_366)),bind(Z,$fot(inverse(X_179)))]]) ).
cnf(refute_0_6634,plain,
( multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179)) != multiply(inverse(multiply(X_367,X_179)),multiply(X_366,inverse(X_179)))
| multiply(inverse(multiply(X_367,X_179)),multiply(X_366,inverse(X_179))) != inverse(multiply(X_179,multiply(inverse(X_366),multiply(X_367,X_179))))
| multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179)) = inverse(multiply(X_179,multiply(inverse(X_366),multiply(X_367,X_179)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179)))),bind(Y0,$fot(multiply(inverse(multiply(X_367,X_179)),multiply(X_366,inverse(X_179))))),bind(Z0,$fot(inverse(multiply(X_179,multiply(inverse(X_366),multiply(X_367,X_179))))))]]) ).
cnf(refute_0_6635,plain,
( multiply(inverse(multiply(X_367,X_179)),multiply(X_366,inverse(X_179))) != inverse(multiply(X_179,multiply(inverse(X_366),multiply(X_367,X_179))))
| multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179)) = inverse(multiply(X_179,multiply(inverse(X_366),multiply(X_367,X_179)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179)),multiply(inverse(multiply(X_367,X_179)),multiply(X_366,inverse(X_179)))) )],[refute_0_6633,refute_0_6634]) ).
cnf(refute_0_6636,plain,
multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179)) = inverse(multiply(X_179,multiply(inverse(X_366),multiply(X_367,X_179)))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_367,X_179)),multiply(X_366,inverse(X_179))),inverse(multiply(X_179,multiply(inverse(X_366),multiply(X_367,X_179))))) )],[refute_0_6632,refute_0_6635]) ).
cnf(refute_0_6637,plain,
multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179))) = multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179))),
introduced(tautology,[refl,[$fot(multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179))))]]) ).
cnf(refute_0_6638,plain,
( multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179))) != multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179)))
| multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179)) != inverse(multiply(X_179,multiply(inverse(X_366),multiply(X_367,X_179))))
| multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179))) = multiply(X_179,inverse(multiply(X_179,multiply(inverse(X_366),multiply(X_367,X_179))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179))),multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179)))) ),[1,1],$fot(inverse(multiply(X_179,multiply(inverse(X_366),multiply(X_367,X_179)))))]]) ).
cnf(refute_0_6639,plain,
( multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179)) != inverse(multiply(X_179,multiply(inverse(X_366),multiply(X_367,X_179))))
| multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179))) = multiply(X_179,inverse(multiply(X_179,multiply(inverse(X_366),multiply(X_367,X_179))))) ),
inference(resolve,[$cnf( $equal(multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179))),multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179)))) )],[refute_0_6637,refute_0_6638]) ).
cnf(refute_0_6640,plain,
multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179))) = multiply(X_179,inverse(multiply(X_179,multiply(inverse(X_366),multiply(X_367,X_179))))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179)),inverse(multiply(X_179,multiply(inverse(X_366),multiply(X_367,X_179))))) )],[refute_0_6636,refute_0_6639]) ).
cnf(refute_0_6641,plain,
( multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179))) != multiply(X_179,inverse(multiply(X_179,multiply(inverse(X_366),multiply(X_367,X_179)))))
| multiply(X_179,inverse(multiply(X_179,multiply(inverse(X_366),multiply(X_367,X_179))))) != inverse(multiply(X_179,multiply(inverse(X_366),X_367)))
| multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179))) = inverse(multiply(X_179,multiply(inverse(X_366),X_367))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179))))),bind(Y0,$fot(multiply(X_179,inverse(multiply(X_179,multiply(inverse(X_366),multiply(X_367,X_179))))))),bind(Z0,$fot(inverse(multiply(X_179,multiply(inverse(X_366),X_367)))))]]) ).
cnf(refute_0_6642,plain,
( multiply(X_179,inverse(multiply(X_179,multiply(inverse(X_366),multiply(X_367,X_179))))) != inverse(multiply(X_179,multiply(inverse(X_366),X_367)))
| multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179))) = inverse(multiply(X_179,multiply(inverse(X_366),X_367))) ),
inference(resolve,[$cnf( $equal(multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179))),multiply(X_179,inverse(multiply(X_179,multiply(inverse(X_366),multiply(X_367,X_179)))))) )],[refute_0_6640,refute_0_6641]) ).
cnf(refute_0_6643,plain,
multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179))) = inverse(multiply(X_179,multiply(inverse(X_366),X_367))),
inference(resolve,[$cnf( $equal(multiply(X_179,inverse(multiply(X_179,multiply(inverse(X_366),multiply(X_367,X_179))))),inverse(multiply(X_179,multiply(inverse(X_366),X_367)))) )],[refute_0_6631,refute_0_6642]) ).
cnf(refute_0_6644,plain,
commutator(multiply(inverse(X_367),X_366),multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179)))) = commutator(multiply(inverse(X_367),X_366),multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179)))),
introduced(tautology,[refl,[$fot(commutator(multiply(inverse(X_367),X_366),multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179)))))]]) ).
cnf(refute_0_6645,plain,
( multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179))) != inverse(multiply(X_179,multiply(inverse(X_366),X_367)))
| commutator(multiply(inverse(X_367),X_366),multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179)))) != commutator(multiply(inverse(X_367),X_366),multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179))))
| commutator(multiply(inverse(X_367),X_366),multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179)))) = commutator(multiply(inverse(X_367),X_366),inverse(multiply(X_179,multiply(inverse(X_366),X_367)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(X_367),X_366),multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179)))),commutator(multiply(inverse(X_367),X_366),multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179))))) ),[1,1],$fot(inverse(multiply(X_179,multiply(inverse(X_366),X_367))))]]) ).
cnf(refute_0_6646,plain,
( multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179))) != inverse(multiply(X_179,multiply(inverse(X_366),X_367)))
| commutator(multiply(inverse(X_367),X_366),multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179)))) = commutator(multiply(inverse(X_367),X_366),inverse(multiply(X_179,multiply(inverse(X_366),X_367)))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_367),X_366),multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179)))),commutator(multiply(inverse(X_367),X_366),multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179))))) )],[refute_0_6644,refute_0_6645]) ).
cnf(refute_0_6647,plain,
commutator(multiply(inverse(X_367),X_366),multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179)))) = commutator(multiply(inverse(X_367),X_366),inverse(multiply(X_179,multiply(inverse(X_366),X_367)))),
inference(resolve,[$cnf( $equal(multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179))),inverse(multiply(X_179,multiply(inverse(X_366),X_367)))) )],[refute_0_6643,refute_0_6646]) ).
cnf(refute_0_6648,plain,
( commutator(multiply(inverse(X_367),X_366),multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179)))) != commutator(multiply(inverse(X_367),X_366),inverse(multiply(X_179,multiply(inverse(X_366),X_367))))
| commutator(multiply(inverse(X_367),X_366),inverse(multiply(X_179,multiply(inverse(X_366),X_367)))) != commutator(multiply(inverse(X_366),X_367),X_179)
| commutator(multiply(inverse(X_367),X_366),multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179)))) = commutator(multiply(inverse(X_366),X_367),X_179) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(inverse(X_367),X_366),multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179)))))),bind(Y0,$fot(commutator(multiply(inverse(X_367),X_366),inverse(multiply(X_179,multiply(inverse(X_366),X_367)))))),bind(Z0,$fot(commutator(multiply(inverse(X_366),X_367),X_179)))]]) ).
cnf(refute_0_6649,plain,
( commutator(multiply(inverse(X_367),X_366),inverse(multiply(X_179,multiply(inverse(X_366),X_367)))) != commutator(multiply(inverse(X_366),X_367),X_179)
| commutator(multiply(inverse(X_367),X_366),multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179)))) = commutator(multiply(inverse(X_366),X_367),X_179) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_367),X_366),multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179)))),commutator(multiply(inverse(X_367),X_366),inverse(multiply(X_179,multiply(inverse(X_366),X_367))))) )],[refute_0_6647,refute_0_6648]) ).
cnf(refute_0_6650,plain,
commutator(multiply(inverse(X_367),X_366),multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179)))) = commutator(multiply(inverse(X_366),X_367),X_179),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_367),X_366),inverse(multiply(X_179,multiply(inverse(X_366),X_367)))),commutator(multiply(inverse(X_366),X_367),X_179)) )],[refute_0_6630,refute_0_6649]) ).
cnf(refute_0_6651,plain,
commutator(multiply(inverse(X_367),X_366),multiply(multiply(inverse(multiply(X_367,X_179)),X_366),commutator(X_179,multiply(inverse(multiply(X_367,X_179)),X_366)))) = commutator(multiply(inverse(X_367),X_366),multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179)))),
inference(subst,[],[refute_0_6590:[bind(X_10,$fot(multiply(inverse(multiply(X_367,X_179)),X_366))),bind(X_244,$fot(multiply(inverse(X_367),X_366))),bind(X_246,$fot(X_179))]]) ).
cnf(refute_0_6652,plain,
( commutator(multiply(inverse(X_367),X_366),multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179)))) != commutator(multiply(inverse(X_366),X_367),X_179)
| commutator(multiply(inverse(X_367),X_366),multiply(multiply(inverse(multiply(X_367,X_179)),X_366),commutator(X_179,multiply(inverse(multiply(X_367,X_179)),X_366)))) != commutator(multiply(inverse(X_367),X_366),multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179))))
| commutator(multiply(inverse(X_367),X_366),multiply(multiply(inverse(multiply(X_367,X_179)),X_366),commutator(X_179,multiply(inverse(multiply(X_367,X_179)),X_366)))) = commutator(multiply(inverse(X_366),X_367),X_179) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(inverse(X_367),X_366),multiply(multiply(inverse(multiply(X_367,X_179)),X_366),commutator(X_179,multiply(inverse(multiply(X_367,X_179)),X_366)))))),bind(Y0,$fot(commutator(multiply(inverse(X_367),X_366),multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179)))))),bind(Z0,$fot(commutator(multiply(inverse(X_366),X_367),X_179)))]]) ).
cnf(refute_0_6653,plain,
( commutator(multiply(inverse(X_367),X_366),multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179)))) != commutator(multiply(inverse(X_366),X_367),X_179)
| commutator(multiply(inverse(X_367),X_366),multiply(multiply(inverse(multiply(X_367,X_179)),X_366),commutator(X_179,multiply(inverse(multiply(X_367,X_179)),X_366)))) = commutator(multiply(inverse(X_366),X_367),X_179) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_367),X_366),multiply(multiply(inverse(multiply(X_367,X_179)),X_366),commutator(X_179,multiply(inverse(multiply(X_367,X_179)),X_366)))),commutator(multiply(inverse(X_367),X_366),multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179))))) )],[refute_0_6651,refute_0_6652]) ).
cnf(refute_0_6654,plain,
commutator(multiply(inverse(X_367),X_366),multiply(multiply(inverse(multiply(X_367,X_179)),X_366),commutator(X_179,multiply(inverse(multiply(X_367,X_179)),X_366)))) = commutator(multiply(inverse(X_366),X_367),X_179),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_367),X_366),multiply(X_179,multiply(multiply(inverse(multiply(X_367,X_179)),X_366),inverse(X_179)))),commutator(multiply(inverse(X_366),X_367),X_179)) )],[refute_0_6650,refute_0_6653]) ).
cnf(refute_0_6655,plain,
( commutator(multiply(inverse(X_367),X_366),multiply(multiply(inverse(multiply(X_367,X_179)),X_366),commutator(X_179,multiply(inverse(multiply(X_367,X_179)),X_366)))) != commutator(X_179,multiply(inverse(multiply(X_367,X_179)),X_366))
| commutator(multiply(inverse(X_367),X_366),multiply(multiply(inverse(multiply(X_367,X_179)),X_366),commutator(X_179,multiply(inverse(multiply(X_367,X_179)),X_366)))) != commutator(multiply(inverse(X_366),X_367),X_179)
| commutator(multiply(inverse(X_366),X_367),X_179) = commutator(X_179,multiply(inverse(multiply(X_367,X_179)),X_366)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(X_367),X_366),multiply(multiply(inverse(multiply(X_367,X_179)),X_366),commutator(X_179,multiply(inverse(multiply(X_367,X_179)),X_366)))),commutator(X_179,multiply(inverse(multiply(X_367,X_179)),X_366))) ),[0],$fot(commutator(multiply(inverse(X_366),X_367),X_179))]]) ).
cnf(refute_0_6656,plain,
( commutator(multiply(inverse(X_367),X_366),multiply(multiply(inverse(multiply(X_367,X_179)),X_366),commutator(X_179,multiply(inverse(multiply(X_367,X_179)),X_366)))) != commutator(X_179,multiply(inverse(multiply(X_367,X_179)),X_366))
| commutator(multiply(inverse(X_366),X_367),X_179) = commutator(X_179,multiply(inverse(multiply(X_367,X_179)),X_366)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_367),X_366),multiply(multiply(inverse(multiply(X_367,X_179)),X_366),commutator(X_179,multiply(inverse(multiply(X_367,X_179)),X_366)))),commutator(multiply(inverse(X_366),X_367),X_179)) )],[refute_0_6654,refute_0_6655]) ).
cnf(refute_0_6657,plain,
commutator(multiply(inverse(X_366),X_367),X_179) = commutator(X_179,multiply(inverse(multiply(X_367,X_179)),X_366)),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_367),X_366),multiply(multiply(inverse(multiply(X_367,X_179)),X_366),commutator(X_179,multiply(inverse(multiply(X_367,X_179)),X_366)))),commutator(X_179,multiply(inverse(multiply(X_367,X_179)),X_366))) )],[refute_0_6621,refute_0_6656]) ).
cnf(refute_0_6658,plain,
( commutator(multiply(inverse(X_366),X_367),X_179) != commutator(X_179,multiply(inverse(multiply(X_367,X_179)),X_366))
| commutator(X_179,multiply(inverse(multiply(X_367,X_179)),X_366)) = commutator(multiply(inverse(X_366),X_367),X_179) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(multiply(inverse(X_366),X_367),X_179))),bind(Y0,$fot(commutator(X_179,multiply(inverse(multiply(X_367,X_179)),X_366))))]]) ).
cnf(refute_0_6659,plain,
commutator(X_179,multiply(inverse(multiply(X_367,X_179)),X_366)) = commutator(multiply(inverse(X_366),X_367),X_179),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_366),X_367),X_179),commutator(X_179,multiply(inverse(multiply(X_367,X_179)),X_366))) )],[refute_0_6657,refute_0_6658]) ).
cnf(refute_0_6660,plain,
commutator(X_10,multiply(inverse(multiply(X_367,X_10)),X_366)) = commutator(multiply(inverse(X_366),X_367),X_10),
inference(subst,[],[refute_0_6659:[bind(X_179,$fot(X_10))]]) ).
cnf(refute_0_6661,plain,
( commutator(X_10,multiply(inverse(X_367),X_366)) != commutator(X_10,multiply(inverse(multiply(X_367,X_10)),X_366))
| commutator(X_10,multiply(inverse(multiply(X_367,X_10)),X_366)) != commutator(multiply(inverse(X_366),X_367),X_10)
| commutator(X_10,multiply(inverse(X_367),X_366)) = commutator(multiply(inverse(X_366),X_367),X_10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(X_10,multiply(inverse(X_367),X_366)),commutator(multiply(inverse(X_366),X_367),X_10)) ),[0],$fot(commutator(X_10,multiply(inverse(multiply(X_367,X_10)),X_366)))]]) ).
cnf(refute_0_6662,plain,
( commutator(X_10,multiply(inverse(X_367),X_366)) != commutator(X_10,multiply(inverse(multiply(X_367,X_10)),X_366))
| commutator(X_10,multiply(inverse(X_367),X_366)) = commutator(multiply(inverse(X_366),X_367),X_10) ),
inference(resolve,[$cnf( $equal(commutator(X_10,multiply(inverse(multiply(X_367,X_10)),X_366)),commutator(multiply(inverse(X_366),X_367),X_10)) )],[refute_0_6660,refute_0_6661]) ).
cnf(refute_0_6663,plain,
commutator(X_10,multiply(inverse(X_367),X_366)) = commutator(multiply(inverse(X_366),X_367),X_10),
inference(resolve,[$cnf( $equal(commutator(X_10,multiply(inverse(X_367),X_366)),commutator(X_10,multiply(inverse(multiply(X_367,X_10)),X_366))) )],[refute_0_6614,refute_0_6662]) ).
cnf(refute_0_6664,plain,
( commutator(X_10,multiply(inverse(X_367),X_366)) != commutator(multiply(inverse(X_366),X_367),X_10)
| commutator(multiply(inverse(X_366),X_367),X_10) = commutator(X_10,multiply(inverse(X_367),X_366)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_10,multiply(inverse(X_367),X_366)))),bind(Y0,$fot(commutator(multiply(inverse(X_366),X_367),X_10)))]]) ).
cnf(refute_0_6665,plain,
commutator(multiply(inverse(X_366),X_367),X_10) = commutator(X_10,multiply(inverse(X_367),X_366)),
inference(resolve,[$cnf( $equal(commutator(X_10,multiply(inverse(X_367),X_366)),commutator(multiply(inverse(X_366),X_367),X_10)) )],[refute_0_6663,refute_0_6664]) ).
cnf(refute_0_6666,plain,
commutator(multiply(inverse(multiply(X_58,inverse(X_373))),Z),X_373) = commutator(X_373,multiply(inverse(Z),multiply(X_58,inverse(X_373)))),
inference(subst,[],[refute_0_6665:[bind(X_10,$fot(X_373)),bind(X_366,$fot(multiply(X_58,inverse(X_373)))),bind(X_367,$fot(Z))]]) ).
cnf(refute_0_6667,plain,
( commutator(X_373,multiply(inverse(Z),multiply(X_58,inverse(X_373)))) != commutator(X_373,multiply(inverse(Z),X_58))
| commutator(multiply(inverse(multiply(X_58,inverse(X_373))),Z),X_373) != commutator(X_373,multiply(inverse(Z),multiply(X_58,inverse(X_373))))
| commutator(multiply(inverse(multiply(X_58,inverse(X_373))),Z),X_373) = commutator(X_373,multiply(inverse(Z),X_58)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(inverse(multiply(X_58,inverse(X_373))),Z),X_373))),bind(Y0,$fot(commutator(X_373,multiply(inverse(Z),multiply(X_58,inverse(X_373)))))),bind(Z0,$fot(commutator(X_373,multiply(inverse(Z),X_58))))]]) ).
cnf(refute_0_6668,plain,
( commutator(X_373,multiply(inverse(Z),multiply(X_58,inverse(X_373)))) != commutator(X_373,multiply(inverse(Z),X_58))
| commutator(multiply(inverse(multiply(X_58,inverse(X_373))),Z),X_373) = commutator(X_373,multiply(inverse(Z),X_58)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(multiply(X_58,inverse(X_373))),Z),X_373),commutator(X_373,multiply(inverse(Z),multiply(X_58,inverse(X_373))))) )],[refute_0_6666,refute_0_6667]) ).
cnf(refute_0_6669,plain,
commutator(multiply(inverse(multiply(X_58,inverse(X_373))),Z),X_373) = commutator(X_373,multiply(inverse(Z),X_58)),
inference(resolve,[$cnf( $equal(commutator(X_373,multiply(inverse(Z),multiply(X_58,inverse(X_373)))),commutator(X_373,multiply(inverse(Z),X_58))) )],[refute_0_6607,refute_0_6668]) ).
cnf(refute_0_6670,plain,
( commutator(multiply(inverse(X_58),Z),X_373) != commutator(multiply(inverse(multiply(X_58,inverse(X_373))),Z),X_373)
| commutator(multiply(inverse(multiply(X_58,inverse(X_373))),Z),X_373) != commutator(X_373,multiply(inverse(Z),X_58))
| commutator(multiply(inverse(X_58),Z),X_373) = commutator(X_373,multiply(inverse(Z),X_58)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(multiply(inverse(X_58),Z),X_373),commutator(X_373,multiply(inverse(Z),X_58))) ),[0],$fot(commutator(multiply(inverse(multiply(X_58,inverse(X_373))),Z),X_373))]]) ).
cnf(refute_0_6671,plain,
( commutator(multiply(inverse(X_58),Z),X_373) != commutator(multiply(inverse(multiply(X_58,inverse(X_373))),Z),X_373)
| commutator(multiply(inverse(X_58),Z),X_373) = commutator(X_373,multiply(inverse(Z),X_58)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(multiply(X_58,inverse(X_373))),Z),X_373),commutator(X_373,multiply(inverse(Z),X_58))) )],[refute_0_6669,refute_0_6670]) ).
cnf(refute_0_6672,plain,
( commutator(multiply(inverse(X_58),Z),multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)))) != commutator(multiply(inverse(multiply(X_58,inverse(X_373))),Z),X_373)
| commutator(multiply(inverse(X_58),Z),X_373) = commutator(X_373,multiply(inverse(Z),X_58)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_58),Z),X_373),commutator(multiply(inverse(multiply(X_58,inverse(X_373))),Z),X_373)) )],[refute_0_6448,refute_0_6671]) ).
cnf(refute_0_6673,plain,
commutator(multiply(inverse(X_58),Z),X_373) = commutator(X_373,multiply(inverse(Z),X_58)),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_58),Z),multiply(X_373,commutator(X_373,multiply(inverse(multiply(X_58,inverse(X_373))),Z)))),commutator(multiply(inverse(multiply(X_58,inverse(X_373))),Z),X_373)) )],[refute_0_6417,refute_0_6672]) ).
cnf(refute_0_6674,plain,
commutator(multiply(inverse(multiply(X_58,X_418)),Z),X_418) = commutator(X_418,multiply(inverse(Z),multiply(X_58,X_418))),
inference(subst,[],[refute_0_6673:[bind(X_373,$fot(X_418)),bind(X_58,$fot(multiply(X_58,X_418)))]]) ).
cnf(refute_0_6675,plain,
( commutator(X_418,multiply(inverse(Z),multiply(X_58,X_418))) != commutator(X_418,multiply(inverse(Z),X_58))
| commutator(multiply(inverse(multiply(X_58,X_418)),Z),X_418) != commutator(X_418,multiply(inverse(Z),multiply(X_58,X_418)))
| commutator(multiply(inverse(multiply(X_58,X_418)),Z),X_418) = commutator(X_418,multiply(inverse(Z),X_58)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(inverse(multiply(X_58,X_418)),Z),X_418))),bind(Y0,$fot(commutator(X_418,multiply(inverse(Z),multiply(X_58,X_418))))),bind(Z0,$fot(commutator(X_418,multiply(inverse(Z),X_58))))]]) ).
cnf(refute_0_6676,plain,
( commutator(X_418,multiply(inverse(Z),multiply(X_58,X_418))) != commutator(X_418,multiply(inverse(Z),X_58))
| commutator(multiply(inverse(multiply(X_58,X_418)),Z),X_418) = commutator(X_418,multiply(inverse(Z),X_58)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(multiply(X_58,X_418)),Z),X_418),commutator(X_418,multiply(inverse(Z),multiply(X_58,X_418)))) )],[refute_0_6674,refute_0_6675]) ).
cnf(refute_0_6677,plain,
commutator(multiply(inverse(multiply(X_58,X_418)),Z),X_418) = commutator(X_418,multiply(inverse(Z),X_58)),
inference(resolve,[$cnf( $equal(commutator(X_418,multiply(inverse(Z),multiply(X_58,X_418))),commutator(X_418,multiply(inverse(Z),X_58))) )],[refute_0_6330,refute_0_6676]) ).
cnf(refute_0_6678,plain,
( commutator(multiply(inverse(X_58),Z),X_418) != commutator(multiply(inverse(multiply(X_58,X_418)),Z),X_418)
| commutator(multiply(inverse(multiply(X_58,X_418)),Z),X_418) != commutator(X_418,multiply(inverse(Z),X_58))
| commutator(multiply(inverse(X_58),Z),X_418) = commutator(X_418,multiply(inverse(Z),X_58)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(multiply(inverse(X_58),Z),X_418),commutator(X_418,multiply(inverse(Z),X_58))) ),[0],$fot(commutator(multiply(inverse(multiply(X_58,X_418)),Z),X_418))]]) ).
cnf(refute_0_6679,plain,
( commutator(multiply(inverse(X_58),Z),X_418) != commutator(multiply(inverse(multiply(X_58,X_418)),Z),X_418)
| commutator(multiply(inverse(X_58),Z),X_418) = commutator(X_418,multiply(inverse(Z),X_58)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(multiply(X_58,X_418)),Z),X_418),commutator(X_418,multiply(inverse(Z),X_58))) )],[refute_0_6677,refute_0_6678]) ).
cnf(refute_0_6680,plain,
commutator(multiply(inverse(X_58),Z),X_418) = commutator(X_418,multiply(inverse(Z),X_58)),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_58),Z),X_418),commutator(multiply(inverse(multiply(X_58,X_418)),Z),X_418)) )],[refute_0_6288,refute_0_6679]) ).
cnf(refute_0_6681,plain,
commutator(multiply(inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))),X_320),X_510) = commutator(X_510,multiply(inverse(X_320),multiply(X_510,multiply(X_320,commutator(X_510,X_320))))),
inference(subst,[],[refute_0_6680:[bind(Z,$fot(X_320)),bind(X_418,$fot(X_510)),bind(X_58,$fot(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))))]]) ).
cnf(refute_0_6682,plain,
commutator(inverse(X_510),multiply(inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))),X_320)) = commutator(multiply(inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))),X_320),X_510),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(X_510)),bind(X_110,$fot(multiply(inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))),X_320)))]]) ).
cnf(refute_0_6683,plain,
( commutator(multiply(inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))),X_320),X_510) != commutator(X_510,multiply(inverse(X_320),multiply(X_510,multiply(X_320,commutator(X_510,X_320)))))
| commutator(inverse(X_510),multiply(inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))),X_320)) != commutator(multiply(inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))),X_320),X_510)
| commutator(inverse(X_510),multiply(inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))),X_320)) = commutator(X_510,multiply(inverse(X_320),multiply(X_510,multiply(X_320,commutator(X_510,X_320))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(inverse(X_510),multiply(inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))),X_320)))),bind(Y0,$fot(commutator(multiply(inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))),X_320),X_510))),bind(Z0,$fot(commutator(X_510,multiply(inverse(X_320),multiply(X_510,multiply(X_320,commutator(X_510,X_320)))))))]]) ).
cnf(refute_0_6684,plain,
( commutator(multiply(inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))),X_320),X_510) != commutator(X_510,multiply(inverse(X_320),multiply(X_510,multiply(X_320,commutator(X_510,X_320)))))
| commutator(inverse(X_510),multiply(inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))),X_320)) = commutator(X_510,multiply(inverse(X_320),multiply(X_510,multiply(X_320,commutator(X_510,X_320))))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_510),multiply(inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))),X_320)),commutator(multiply(inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))),X_320),X_510)) )],[refute_0_6682,refute_0_6683]) ).
cnf(refute_0_6685,plain,
commutator(inverse(X_510),multiply(inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))),X_320)) = commutator(X_510,multiply(inverse(X_320),multiply(X_510,multiply(X_320,commutator(X_510,X_320))))),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))),X_320),X_510),commutator(X_510,multiply(inverse(X_320),multiply(X_510,multiply(X_320,commutator(X_510,X_320)))))) )],[refute_0_6681,refute_0_6684]) ).
cnf(refute_0_6686,plain,
multiply(commutator(X_510,X_320),X_320) = multiply(X_320,commutator(X_510,X_320)),
inference(subst,[],[refute_0_1032:[bind(X_135,$fot(X_510)),bind(X_153,$fot(X_320))]]) ).
cnf(refute_0_6687,plain,
multiply(X_510,multiply(commutator(X_510,X_320),X_320)) = multiply(X_510,multiply(commutator(X_510,X_320),X_320)),
introduced(tautology,[refl,[$fot(multiply(X_510,multiply(commutator(X_510,X_320),X_320)))]]) ).
cnf(refute_0_6688,plain,
( multiply(X_510,multiply(commutator(X_510,X_320),X_320)) != multiply(X_510,multiply(commutator(X_510,X_320),X_320))
| multiply(commutator(X_510,X_320),X_320) != multiply(X_320,commutator(X_510,X_320))
| multiply(X_510,multiply(commutator(X_510,X_320),X_320)) = multiply(X_510,multiply(X_320,commutator(X_510,X_320))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_510,multiply(commutator(X_510,X_320),X_320)),multiply(X_510,multiply(commutator(X_510,X_320),X_320))) ),[1,1],$fot(multiply(X_320,commutator(X_510,X_320)))]]) ).
cnf(refute_0_6689,plain,
( multiply(commutator(X_510,X_320),X_320) != multiply(X_320,commutator(X_510,X_320))
| multiply(X_510,multiply(commutator(X_510,X_320),X_320)) = multiply(X_510,multiply(X_320,commutator(X_510,X_320))) ),
inference(resolve,[$cnf( $equal(multiply(X_510,multiply(commutator(X_510,X_320),X_320)),multiply(X_510,multiply(commutator(X_510,X_320),X_320))) )],[refute_0_6687,refute_0_6688]) ).
cnf(refute_0_6690,plain,
multiply(X_510,multiply(commutator(X_510,X_320),X_320)) = multiply(X_510,multiply(X_320,commutator(X_510,X_320))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_510,X_320),X_320),multiply(X_320,commutator(X_510,X_320))) )],[refute_0_6686,refute_0_6689]) ).
cnf(refute_0_6691,plain,
multiply(multiply(X_510,commutator(X_510,X_320)),X_320) = multiply(X_510,multiply(commutator(X_510,X_320),X_320)),
inference(subst,[],[associativity:[bind(X,$fot(X_510)),bind(Y,$fot(commutator(X_510,X_320))),bind(Z,$fot(X_320))]]) ).
cnf(refute_0_6692,plain,
( multiply(X_510,multiply(commutator(X_510,X_320),X_320)) != multiply(X_510,multiply(X_320,commutator(X_510,X_320)))
| multiply(multiply(X_510,commutator(X_510,X_320)),X_320) != multiply(X_510,multiply(commutator(X_510,X_320),X_320))
| multiply(multiply(X_510,commutator(X_510,X_320)),X_320) = multiply(X_510,multiply(X_320,commutator(X_510,X_320))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_510,commutator(X_510,X_320)),X_320))),bind(Y0,$fot(multiply(X_510,multiply(commutator(X_510,X_320),X_320)))),bind(Z0,$fot(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))))]]) ).
cnf(refute_0_6693,plain,
( multiply(X_510,multiply(commutator(X_510,X_320),X_320)) != multiply(X_510,multiply(X_320,commutator(X_510,X_320)))
| multiply(multiply(X_510,commutator(X_510,X_320)),X_320) = multiply(X_510,multiply(X_320,commutator(X_510,X_320))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_510,commutator(X_510,X_320)),X_320),multiply(X_510,multiply(commutator(X_510,X_320),X_320))) )],[refute_0_6691,refute_0_6692]) ).
cnf(refute_0_6694,plain,
multiply(multiply(X_510,commutator(X_510,X_320)),X_320) = multiply(X_510,multiply(X_320,commutator(X_510,X_320))),
inference(resolve,[$cnf( $equal(multiply(X_510,multiply(commutator(X_510,X_320),X_320)),multiply(X_510,multiply(X_320,commutator(X_510,X_320)))) )],[refute_0_6690,refute_0_6693]) ).
cnf(refute_0_6695,plain,
inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)) = inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)))]]) ).
cnf(refute_0_6696,plain,
( multiply(multiply(X_510,commutator(X_510,X_320)),X_320) != multiply(X_510,multiply(X_320,commutator(X_510,X_320)))
| inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)) != inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320))
| inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)) = inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320))) ),[1,0],$fot(multiply(X_510,multiply(X_320,commutator(X_510,X_320))))]]) ).
cnf(refute_0_6697,plain,
( multiply(multiply(X_510,commutator(X_510,X_320)),X_320) != multiply(X_510,multiply(X_320,commutator(X_510,X_320)))
| inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)) = inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320))) )],[refute_0_6695,refute_0_6696]) ).
cnf(refute_0_6698,plain,
inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)) = inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_510,commutator(X_510,X_320)),X_320),multiply(X_510,multiply(X_320,commutator(X_510,X_320)))) )],[refute_0_6694,refute_0_6697]) ).
cnf(refute_0_6699,plain,
multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320) = multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320))]]) ).
cnf(refute_0_6700,plain,
( multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320) != multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)
| inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)) != inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320))))
| multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320) = multiply(inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))),X_320) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)) ),[1,0],$fot(inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))))]]) ).
cnf(refute_0_6701,plain,
( inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)) != inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320))))
| multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320) = multiply(inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))),X_320) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)) )],[refute_0_6699,refute_0_6700]) ).
cnf(refute_0_6702,plain,
multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320) = multiply(inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))),X_320),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320))))) )],[refute_0_6698,refute_0_6701]) ).
cnf(refute_0_6703,plain,
commutator(inverse(X_510),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)) = commutator(inverse(X_510),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)),
introduced(tautology,[refl,[$fot(commutator(inverse(X_510),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)))]]) ).
cnf(refute_0_6704,plain,
( multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320) != multiply(inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))),X_320)
| commutator(inverse(X_510),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)) != commutator(inverse(X_510),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320))
| commutator(inverse(X_510),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)) = commutator(inverse(X_510),multiply(inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))),X_320)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(inverse(X_510),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)),commutator(inverse(X_510),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320))) ),[1,1],$fot(multiply(inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))),X_320))]]) ).
cnf(refute_0_6705,plain,
( multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320) != multiply(inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))),X_320)
| commutator(inverse(X_510),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)) = commutator(inverse(X_510),multiply(inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))),X_320)) ),
inference(resolve,[$cnf( $equal(commutator(inverse(X_510),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)),commutator(inverse(X_510),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320))) )],[refute_0_6703,refute_0_6704]) ).
cnf(refute_0_6706,plain,
commutator(inverse(X_510),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)) = commutator(inverse(X_510),multiply(inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))),X_320)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320),multiply(inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))),X_320)) )],[refute_0_6702,refute_0_6705]) ).
cnf(refute_0_6707,plain,
multiply(X_320,inverse(multiply(X_510,X_320))) = inverse(X_510),
inference(subst,[],[refute_0_176:[bind(X_10,$fot(X_510)),bind(X_57,$fot(X_320))]]) ).
cnf(refute_0_6708,plain,
commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)) = commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)),
introduced(tautology,[refl,[$fot(commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)))]]) ).
cnf(refute_0_6709,plain,
( multiply(X_320,inverse(multiply(X_510,X_320))) != inverse(X_510)
| commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)) != commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320))
| commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)) = commutator(inverse(X_510),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)),commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320))) ),[1,0],$fot(inverse(X_510))]]) ).
cnf(refute_0_6710,plain,
( multiply(X_320,inverse(multiply(X_510,X_320))) != inverse(X_510)
| commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)) = commutator(inverse(X_510),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)),commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320))) )],[refute_0_6708,refute_0_6709]) ).
cnf(refute_0_6711,plain,
commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)) = commutator(inverse(X_510),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)),
inference(resolve,[$cnf( $equal(multiply(X_320,inverse(multiply(X_510,X_320))),inverse(X_510)) )],[refute_0_6707,refute_0_6710]) ).
cnf(refute_0_6712,plain,
( commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)) != commutator(inverse(X_510),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320))
| commutator(inverse(X_510),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)) != commutator(inverse(X_510),multiply(inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))),X_320))
| commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)) = commutator(inverse(X_510),multiply(inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))),X_320)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)))),bind(Y0,$fot(commutator(inverse(X_510),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)))),bind(Z0,$fot(commutator(inverse(X_510),multiply(inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))),X_320))))]]) ).
cnf(refute_0_6713,plain,
( commutator(inverse(X_510),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)) != commutator(inverse(X_510),multiply(inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))),X_320))
| commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)) = commutator(inverse(X_510),multiply(inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))),X_320)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)),commutator(inverse(X_510),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320))) )],[refute_0_6711,refute_0_6712]) ).
cnf(refute_0_6714,plain,
commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)) = commutator(inverse(X_510),multiply(inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))),X_320)),
inference(resolve,[$cnf( $equal(commutator(inverse(X_510),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)),commutator(inverse(X_510),multiply(inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))),X_320))) )],[refute_0_6706,refute_0_6713]) ).
cnf(refute_0_6715,plain,
( commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)) != commutator(inverse(X_510),multiply(inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))),X_320))
| commutator(inverse(X_510),multiply(inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))),X_320)) != commutator(X_510,multiply(inverse(X_320),multiply(X_510,multiply(X_320,commutator(X_510,X_320)))))
| commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)) = commutator(X_510,multiply(inverse(X_320),multiply(X_510,multiply(X_320,commutator(X_510,X_320))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)))),bind(Y0,$fot(commutator(inverse(X_510),multiply(inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))),X_320)))),bind(Z0,$fot(commutator(X_510,multiply(inverse(X_320),multiply(X_510,multiply(X_320,commutator(X_510,X_320)))))))]]) ).
cnf(refute_0_6716,plain,
( commutator(inverse(X_510),multiply(inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))),X_320)) != commutator(X_510,multiply(inverse(X_320),multiply(X_510,multiply(X_320,commutator(X_510,X_320)))))
| commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)) = commutator(X_510,multiply(inverse(X_320),multiply(X_510,multiply(X_320,commutator(X_510,X_320))))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)),commutator(inverse(X_510),multiply(inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))),X_320))) )],[refute_0_6714,refute_0_6715]) ).
cnf(refute_0_6717,plain,
commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)) = commutator(X_510,multiply(inverse(X_320),multiply(X_510,multiply(X_320,commutator(X_510,X_320))))),
inference(resolve,[$cnf( $equal(commutator(inverse(X_510),multiply(inverse(multiply(X_510,multiply(X_320,commutator(X_510,X_320)))),X_320)),commutator(X_510,multiply(inverse(X_320),multiply(X_510,multiply(X_320,commutator(X_510,X_320)))))) )],[refute_0_6685,refute_0_6716]) ).
cnf(refute_0_6718,plain,
commutator(multiply(inverse(multiply(X_510,commutator(X_510,inverse(Z)))),Z),X_114) = commutator(X_114,multiply(inverse(Z),multiply(X_510,commutator(X_510,inverse(Z))))),
inference(subst,[],[refute_0_4978:[bind(X_61,$fot(multiply(X_510,commutator(X_510,inverse(Z)))))]]) ).
cnf(refute_0_6719,plain,
multiply(X_510,inverse(Z)) = multiply(inverse(Z),multiply(X_510,commutator(X_510,inverse(Z)))),
inference(subst,[],[refute_0_194:[bind(X,$fot(X_510)),bind(Y,$fot(inverse(Z)))]]) ).
cnf(refute_0_6720,plain,
( multiply(X_510,inverse(Z)) != multiply(inverse(Z),multiply(X_510,commutator(X_510,inverse(Z))))
| multiply(inverse(Z),multiply(X_510,commutator(X_510,inverse(Z)))) = multiply(X_510,inverse(Z)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(X_510,inverse(Z)))),bind(Y0,$fot(multiply(inverse(Z),multiply(X_510,commutator(X_510,inverse(Z))))))]]) ).
cnf(refute_0_6721,plain,
multiply(inverse(Z),multiply(X_510,commutator(X_510,inverse(Z)))) = multiply(X_510,inverse(Z)),
inference(resolve,[$cnf( $equal(multiply(X_510,inverse(Z)),multiply(inverse(Z),multiply(X_510,commutator(X_510,inverse(Z))))) )],[refute_0_6719,refute_0_6720]) ).
cnf(refute_0_6722,plain,
( multiply(inverse(Z),multiply(X_510,commutator(X_510,inverse(Z)))) != multiply(X_510,inverse(Z))
| commutator(multiply(inverse(multiply(X_510,commutator(X_510,inverse(Z)))),Z),X_114) != commutator(X_114,multiply(inverse(Z),multiply(X_510,commutator(X_510,inverse(Z)))))
| commutator(multiply(inverse(multiply(X_510,commutator(X_510,inverse(Z)))),Z),X_114) = commutator(X_114,multiply(X_510,inverse(Z))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(multiply(X_510,commutator(X_510,inverse(Z)))),Z),X_114),commutator(X_114,multiply(inverse(Z),multiply(X_510,commutator(X_510,inverse(Z)))))) ),[1,1],$fot(multiply(X_510,inverse(Z)))]]) ).
cnf(refute_0_6723,plain,
( commutator(multiply(inverse(multiply(X_510,commutator(X_510,inverse(Z)))),Z),X_114) != commutator(X_114,multiply(inverse(Z),multiply(X_510,commutator(X_510,inverse(Z)))))
| commutator(multiply(inverse(multiply(X_510,commutator(X_510,inverse(Z)))),Z),X_114) = commutator(X_114,multiply(X_510,inverse(Z))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(Z),multiply(X_510,commutator(X_510,inverse(Z)))),multiply(X_510,inverse(Z))) )],[refute_0_6721,refute_0_6722]) ).
cnf(refute_0_6724,plain,
commutator(multiply(inverse(multiply(X_510,commutator(X_510,inverse(Z)))),Z),X_114) = commutator(X_114,multiply(X_510,inverse(Z))),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(multiply(X_510,commutator(X_510,inverse(Z)))),Z),X_114),commutator(X_114,multiply(inverse(Z),multiply(X_510,commutator(X_510,inverse(Z)))))) )],[refute_0_6718,refute_0_6723]) ).
cnf(refute_0_6725,plain,
commutator(inverse(X_90),X_89) = commutator(X_89,X_90),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(X_90)),bind(X_110,$fot(X_89))]]) ).
cnf(refute_0_6726,plain,
multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)) = multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)),
introduced(tautology,[refl,[$fot(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))]]) ).
cnf(refute_0_6727,plain,
( multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)) != multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))
| commutator(inverse(X_90),X_89) != commutator(X_89,X_90)
| multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)) = multiply(commutator(X_89,X_90),multiply(inverse(X_89),X_90)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)),multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))) ),[1,0],$fot(commutator(X_89,X_90))]]) ).
cnf(refute_0_6728,plain,
( commutator(inverse(X_90),X_89) != commutator(X_89,X_90)
| multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)) = multiply(commutator(X_89,X_90),multiply(inverse(X_89),X_90)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)),multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))) )],[refute_0_6726,refute_0_6727]) ).
cnf(refute_0_6729,plain,
multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)) = multiply(commutator(X_89,X_90),multiply(inverse(X_89),X_90)),
inference(resolve,[$cnf( $equal(commutator(inverse(X_90),X_89),commutator(X_89,X_90)) )],[refute_0_6725,refute_0_6728]) ).
cnf(refute_0_6730,plain,
( multiply(X_90,inverse(X_89)) != multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))
| multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)) != multiply(commutator(X_89,X_90),multiply(inverse(X_89),X_90))
| multiply(X_90,inverse(X_89)) = multiply(commutator(X_89,X_90),multiply(inverse(X_89),X_90)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_90,inverse(X_89)),multiply(commutator(X_89,X_90),multiply(inverse(X_89),X_90))) ),[0],$fot(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)))]]) ).
cnf(refute_0_6731,plain,
( multiply(X_90,inverse(X_89)) != multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))
| multiply(X_90,inverse(X_89)) = multiply(commutator(X_89,X_90),multiply(inverse(X_89),X_90)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90)),multiply(commutator(X_89,X_90),multiply(inverse(X_89),X_90))) )],[refute_0_6729,refute_0_6730]) ).
cnf(refute_0_6732,plain,
multiply(X_90,inverse(X_89)) = multiply(commutator(X_89,X_90),multiply(inverse(X_89),X_90)),
inference(resolve,[$cnf( $equal(multiply(X_90,inverse(X_89)),multiply(commutator(inverse(X_90),X_89),multiply(inverse(X_89),X_90))) )],[refute_0_847,refute_0_6731]) ).
cnf(refute_0_6733,plain,
( multiply(X_90,inverse(X_89)) != multiply(commutator(X_89,X_90),multiply(inverse(X_89),X_90))
| multiply(commutator(X_89,X_90),multiply(inverse(X_89),X_90)) = multiply(X_90,inverse(X_89)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(X_90,inverse(X_89)))),bind(Y0,$fot(multiply(commutator(X_89,X_90),multiply(inverse(X_89),X_90))))]]) ).
cnf(refute_0_6734,plain,
multiply(commutator(X_89,X_90),multiply(inverse(X_89),X_90)) = multiply(X_90,inverse(X_89)),
inference(resolve,[$cnf( $equal(multiply(X_90,inverse(X_89)),multiply(commutator(X_89,X_90),multiply(inverse(X_89),X_90))) )],[refute_0_6732,refute_0_6733]) ).
cnf(refute_0_6735,plain,
multiply(commutator(X_510,Z),multiply(inverse(X_510),Z)) = multiply(Z,inverse(X_510)),
inference(subst,[],[refute_0_6734:[bind(X_89,$fot(X_510)),bind(X_90,$fot(Z))]]) ).
cnf(refute_0_6736,plain,
commutator(inverse(Z),X_510) = commutator(X_510,Z),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(Z)),bind(X_110,$fot(X_510))]]) ).
cnf(refute_0_6737,plain,
multiply(commutator(inverse(Z),X_510),multiply(inverse(X_510),Z)) = multiply(commutator(inverse(Z),X_510),multiply(inverse(X_510),Z)),
introduced(tautology,[refl,[$fot(multiply(commutator(inverse(Z),X_510),multiply(inverse(X_510),Z)))]]) ).
cnf(refute_0_6738,plain,
( multiply(commutator(inverse(Z),X_510),multiply(inverse(X_510),Z)) != multiply(commutator(inverse(Z),X_510),multiply(inverse(X_510),Z))
| commutator(inverse(Z),X_510) != commutator(X_510,Z)
| multiply(commutator(inverse(Z),X_510),multiply(inverse(X_510),Z)) = multiply(commutator(X_510,Z),multiply(inverse(X_510),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(inverse(Z),X_510),multiply(inverse(X_510),Z)),multiply(commutator(inverse(Z),X_510),multiply(inverse(X_510),Z))) ),[1,0],$fot(commutator(X_510,Z))]]) ).
cnf(refute_0_6739,plain,
( commutator(inverse(Z),X_510) != commutator(X_510,Z)
| multiply(commutator(inverse(Z),X_510),multiply(inverse(X_510),Z)) = multiply(commutator(X_510,Z),multiply(inverse(X_510),Z)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(Z),X_510),multiply(inverse(X_510),Z)),multiply(commutator(inverse(Z),X_510),multiply(inverse(X_510),Z))) )],[refute_0_6737,refute_0_6738]) ).
cnf(refute_0_6740,plain,
multiply(commutator(inverse(Z),X_510),multiply(inverse(X_510),Z)) = multiply(commutator(X_510,Z),multiply(inverse(X_510),Z)),
inference(resolve,[$cnf( $equal(commutator(inverse(Z),X_510),commutator(X_510,Z)) )],[refute_0_6736,refute_0_6739]) ).
cnf(refute_0_6741,plain,
( multiply(commutator(X_510,Z),multiply(inverse(X_510),Z)) != multiply(Z,inverse(X_510))
| multiply(commutator(inverse(Z),X_510),multiply(inverse(X_510),Z)) != multiply(commutator(X_510,Z),multiply(inverse(X_510),Z))
| multiply(commutator(inverse(Z),X_510),multiply(inverse(X_510),Z)) = multiply(Z,inverse(X_510)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(inverse(Z),X_510),multiply(inverse(X_510),Z)))),bind(Y0,$fot(multiply(commutator(X_510,Z),multiply(inverse(X_510),Z)))),bind(Z0,$fot(multiply(Z,inverse(X_510))))]]) ).
cnf(refute_0_6742,plain,
( multiply(commutator(X_510,Z),multiply(inverse(X_510),Z)) != multiply(Z,inverse(X_510))
| multiply(commutator(inverse(Z),X_510),multiply(inverse(X_510),Z)) = multiply(Z,inverse(X_510)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(Z),X_510),multiply(inverse(X_510),Z)),multiply(commutator(X_510,Z),multiply(inverse(X_510),Z))) )],[refute_0_6740,refute_0_6741]) ).
cnf(refute_0_6743,plain,
multiply(commutator(inverse(Z),X_510),multiply(inverse(X_510),Z)) = multiply(Z,inverse(X_510)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_510,Z),multiply(inverse(X_510),Z)),multiply(Z,inverse(X_510))) )],[refute_0_6735,refute_0_6742]) ).
cnf(refute_0_6744,plain,
multiply(inverse(multiply(X_510,commutator(X_510,inverse(Z)))),Z) = multiply(commutator(inverse(Z),X_510),multiply(inverse(X_510),Z)),
inference(subst,[],[refute_0_666:[bind(X_366,$fot(Z)),bind(X_367,$fot(X_510)),bind(X_65,$fot(X_510)),bind(X_66,$fot(inverse(Z)))]]) ).
cnf(refute_0_6745,plain,
( multiply(commutator(inverse(Z),X_510),multiply(inverse(X_510),Z)) != multiply(Z,inverse(X_510))
| multiply(inverse(multiply(X_510,commutator(X_510,inverse(Z)))),Z) != multiply(commutator(inverse(Z),X_510),multiply(inverse(X_510),Z))
| multiply(inverse(multiply(X_510,commutator(X_510,inverse(Z)))),Z) = multiply(Z,inverse(X_510)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_510,commutator(X_510,inverse(Z)))),Z))),bind(Y0,$fot(multiply(commutator(inverse(Z),X_510),multiply(inverse(X_510),Z)))),bind(Z0,$fot(multiply(Z,inverse(X_510))))]]) ).
cnf(refute_0_6746,plain,
( multiply(commutator(inverse(Z),X_510),multiply(inverse(X_510),Z)) != multiply(Z,inverse(X_510))
| multiply(inverse(multiply(X_510,commutator(X_510,inverse(Z)))),Z) = multiply(Z,inverse(X_510)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_510,commutator(X_510,inverse(Z)))),Z),multiply(commutator(inverse(Z),X_510),multiply(inverse(X_510),Z))) )],[refute_0_6744,refute_0_6745]) ).
cnf(refute_0_6747,plain,
multiply(inverse(multiply(X_510,commutator(X_510,inverse(Z)))),Z) = multiply(Z,inverse(X_510)),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(Z),X_510),multiply(inverse(X_510),Z)),multiply(Z,inverse(X_510))) )],[refute_0_6743,refute_0_6746]) ).
cnf(refute_0_6748,plain,
commutator(multiply(inverse(multiply(X_510,commutator(X_510,inverse(Z)))),Z),X_114) = commutator(multiply(inverse(multiply(X_510,commutator(X_510,inverse(Z)))),Z),X_114),
introduced(tautology,[refl,[$fot(commutator(multiply(inverse(multiply(X_510,commutator(X_510,inverse(Z)))),Z),X_114))]]) ).
cnf(refute_0_6749,plain,
( multiply(inverse(multiply(X_510,commutator(X_510,inverse(Z)))),Z) != multiply(Z,inverse(X_510))
| commutator(multiply(inverse(multiply(X_510,commutator(X_510,inverse(Z)))),Z),X_114) != commutator(multiply(inverse(multiply(X_510,commutator(X_510,inverse(Z)))),Z),X_114)
| commutator(multiply(inverse(multiply(X_510,commutator(X_510,inverse(Z)))),Z),X_114) = commutator(multiply(Z,inverse(X_510)),X_114) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(multiply(X_510,commutator(X_510,inverse(Z)))),Z),X_114),commutator(multiply(inverse(multiply(X_510,commutator(X_510,inverse(Z)))),Z),X_114)) ),[1,0],$fot(multiply(Z,inverse(X_510)))]]) ).
cnf(refute_0_6750,plain,
( multiply(inverse(multiply(X_510,commutator(X_510,inverse(Z)))),Z) != multiply(Z,inverse(X_510))
| commutator(multiply(inverse(multiply(X_510,commutator(X_510,inverse(Z)))),Z),X_114) = commutator(multiply(Z,inverse(X_510)),X_114) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(multiply(X_510,commutator(X_510,inverse(Z)))),Z),X_114),commutator(multiply(inverse(multiply(X_510,commutator(X_510,inverse(Z)))),Z),X_114)) )],[refute_0_6748,refute_0_6749]) ).
cnf(refute_0_6751,plain,
commutator(multiply(inverse(multiply(X_510,commutator(X_510,inverse(Z)))),Z),X_114) = commutator(multiply(Z,inverse(X_510)),X_114),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_510,commutator(X_510,inverse(Z)))),Z),multiply(Z,inverse(X_510))) )],[refute_0_6747,refute_0_6750]) ).
cnf(refute_0_6752,plain,
( commutator(multiply(inverse(multiply(X_510,commutator(X_510,inverse(Z)))),Z),X_114) != commutator(X_114,multiply(X_510,inverse(Z)))
| commutator(multiply(inverse(multiply(X_510,commutator(X_510,inverse(Z)))),Z),X_114) != commutator(multiply(Z,inverse(X_510)),X_114)
| commutator(multiply(Z,inverse(X_510)),X_114) = commutator(X_114,multiply(X_510,inverse(Z))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(multiply(X_510,commutator(X_510,inverse(Z)))),Z),X_114),commutator(X_114,multiply(X_510,inverse(Z)))) ),[0],$fot(commutator(multiply(Z,inverse(X_510)),X_114))]]) ).
cnf(refute_0_6753,plain,
( commutator(multiply(inverse(multiply(X_510,commutator(X_510,inverse(Z)))),Z),X_114) != commutator(X_114,multiply(X_510,inverse(Z)))
| commutator(multiply(Z,inverse(X_510)),X_114) = commutator(X_114,multiply(X_510,inverse(Z))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(multiply(X_510,commutator(X_510,inverse(Z)))),Z),X_114),commutator(multiply(Z,inverse(X_510)),X_114)) )],[refute_0_6751,refute_0_6752]) ).
cnf(refute_0_6754,plain,
commutator(multiply(Z,inverse(X_510)),X_114) = commutator(X_114,multiply(X_510,inverse(Z))),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(multiply(X_510,commutator(X_510,inverse(Z)))),Z),X_114),commutator(X_114,multiply(X_510,inverse(Z)))) )],[refute_0_6724,refute_0_6753]) ).
cnf(refute_0_6755,plain,
( commutator(multiply(Z,inverse(X_510)),X_114) != commutator(X_114,multiply(X_510,inverse(Z)))
| commutator(X_114,multiply(X_510,inverse(Z))) = commutator(multiply(Z,inverse(X_510)),X_114) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(multiply(Z,inverse(X_510)),X_114))),bind(Y0,$fot(commutator(X_114,multiply(X_510,inverse(Z)))))]]) ).
cnf(refute_0_6756,plain,
commutator(X_114,multiply(X_510,inverse(Z))) = commutator(multiply(Z,inverse(X_510)),X_114),
inference(resolve,[$cnf( $equal(commutator(multiply(Z,inverse(X_510)),X_114),commutator(X_114,multiply(X_510,inverse(Z)))) )],[refute_0_6754,refute_0_6755]) ).
cnf(refute_0_6757,plain,
commutator(multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320),multiply(multiply(X_510,X_320),inverse(X_320))) = commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)),
inference(subst,[],[refute_0_6756:[bind(Z,$fot(X_320)),bind(X_114,$fot(multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320))),bind(X_510,$fot(multiply(X_510,X_320)))]]) ).
cnf(refute_0_6758,plain,
commutator(multiply(inverse(X_496),commutator(inverse(X_496),Y)),X_495) = commutator(X_495,multiply(inverse(commutator(inverse(X_496),Y)),X_496)),
inference(subst,[],[refute_0_4978:[bind(Z,$fot(commutator(inverse(X_496),Y))),bind(X_114,$fot(X_495)),bind(X_61,$fot(X_496))]]) ).
cnf(refute_0_6759,plain,
multiply(inverse(Y),multiply(inverse(X_496),Y)) = multiply(inverse(X_496),commutator(inverse(X_496),Y)),
inference(subst,[],[refute_0_254:[bind(X_27,$fot(inverse(X_496)))]]) ).
cnf(refute_0_6760,plain,
( multiply(inverse(Y),multiply(inverse(X_496),Y)) != multiply(inverse(X_496),commutator(inverse(X_496),Y))
| multiply(inverse(X_496),commutator(inverse(X_496),Y)) = multiply(inverse(Y),multiply(inverse(X_496),Y)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(inverse(Y),multiply(inverse(X_496),Y)))),bind(Y0,$fot(multiply(inverse(X_496),commutator(inverse(X_496),Y))))]]) ).
cnf(refute_0_6761,plain,
multiply(inverse(X_496),commutator(inverse(X_496),Y)) = multiply(inverse(Y),multiply(inverse(X_496),Y)),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),multiply(inverse(X_496),Y)),multiply(inverse(X_496),commutator(inverse(X_496),Y))) )],[refute_0_6759,refute_0_6760]) ).
cnf(refute_0_6762,plain,
( multiply(inverse(X_496),commutator(inverse(X_496),Y)) != multiply(inverse(Y),multiply(inverse(X_496),Y))
| commutator(multiply(inverse(X_496),commutator(inverse(X_496),Y)),X_495) != commutator(X_495,multiply(inverse(commutator(inverse(X_496),Y)),X_496))
| commutator(multiply(inverse(Y),multiply(inverse(X_496),Y)),X_495) = commutator(X_495,multiply(inverse(commutator(inverse(X_496),Y)),X_496)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(X_496),commutator(inverse(X_496),Y)),X_495),commutator(X_495,multiply(inverse(commutator(inverse(X_496),Y)),X_496))) ),[0,0],$fot(multiply(inverse(Y),multiply(inverse(X_496),Y)))]]) ).
cnf(refute_0_6763,plain,
( commutator(multiply(inverse(X_496),commutator(inverse(X_496),Y)),X_495) != commutator(X_495,multiply(inverse(commutator(inverse(X_496),Y)),X_496))
| commutator(multiply(inverse(Y),multiply(inverse(X_496),Y)),X_495) = commutator(X_495,multiply(inverse(commutator(inverse(X_496),Y)),X_496)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_496),commutator(inverse(X_496),Y)),multiply(inverse(Y),multiply(inverse(X_496),Y))) )],[refute_0_6761,refute_0_6762]) ).
cnf(refute_0_6764,plain,
commutator(multiply(inverse(Y),multiply(inverse(X_496),Y)),X_495) = commutator(X_495,multiply(inverse(commutator(inverse(X_496),Y)),X_496)),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_496),commutator(inverse(X_496),Y)),X_495),commutator(X_495,multiply(inverse(commutator(inverse(X_496),Y)),X_496))) )],[refute_0_6758,refute_0_6763]) ).
cnf(refute_0_6765,plain,
multiply(inverse(Y),multiply(inverse(X_496),Y)) = multiply(inverse(multiply(X_496,Y)),Y),
inference(subst,[],[refute_0_242:[bind(Z,$fot(Y)),bind(X_62,$fot(Y)),bind(X_63,$fot(X_496))]]) ).
cnf(refute_0_6766,plain,
commutator(multiply(inverse(Y),multiply(inverse(X_496),Y)),X_495) = commutator(multiply(inverse(Y),multiply(inverse(X_496),Y)),X_495),
introduced(tautology,[refl,[$fot(commutator(multiply(inverse(Y),multiply(inverse(X_496),Y)),X_495))]]) ).
cnf(refute_0_6767,plain,
( multiply(inverse(Y),multiply(inverse(X_496),Y)) != multiply(inverse(multiply(X_496,Y)),Y)
| commutator(multiply(inverse(Y),multiply(inverse(X_496),Y)),X_495) != commutator(multiply(inverse(Y),multiply(inverse(X_496),Y)),X_495)
| commutator(multiply(inverse(Y),multiply(inverse(X_496),Y)),X_495) = commutator(multiply(inverse(multiply(X_496,Y)),Y),X_495) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(Y),multiply(inverse(X_496),Y)),X_495),commutator(multiply(inverse(Y),multiply(inverse(X_496),Y)),X_495)) ),[1,0],$fot(multiply(inverse(multiply(X_496,Y)),Y))]]) ).
cnf(refute_0_6768,plain,
( multiply(inverse(Y),multiply(inverse(X_496),Y)) != multiply(inverse(multiply(X_496,Y)),Y)
| commutator(multiply(inverse(Y),multiply(inverse(X_496),Y)),X_495) = commutator(multiply(inverse(multiply(X_496,Y)),Y),X_495) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(Y),multiply(inverse(X_496),Y)),X_495),commutator(multiply(inverse(Y),multiply(inverse(X_496),Y)),X_495)) )],[refute_0_6766,refute_0_6767]) ).
cnf(refute_0_6769,plain,
commutator(multiply(inverse(Y),multiply(inverse(X_496),Y)),X_495) = commutator(multiply(inverse(multiply(X_496,Y)),Y),X_495),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),multiply(inverse(X_496),Y)),multiply(inverse(multiply(X_496,Y)),Y)) )],[refute_0_6765,refute_0_6768]) ).
cnf(refute_0_6770,plain,
( commutator(multiply(inverse(Y),multiply(inverse(X_496),Y)),X_495) != commutator(X_495,multiply(inverse(commutator(inverse(X_496),Y)),X_496))
| commutator(multiply(inverse(Y),multiply(inverse(X_496),Y)),X_495) != commutator(multiply(inverse(multiply(X_496,Y)),Y),X_495)
| commutator(multiply(inverse(multiply(X_496,Y)),Y),X_495) = commutator(X_495,multiply(inverse(commutator(inverse(X_496),Y)),X_496)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(Y),multiply(inverse(X_496),Y)),X_495),commutator(X_495,multiply(inverse(commutator(inverse(X_496),Y)),X_496))) ),[0],$fot(commutator(multiply(inverse(multiply(X_496,Y)),Y),X_495))]]) ).
cnf(refute_0_6771,plain,
( commutator(multiply(inverse(Y),multiply(inverse(X_496),Y)),X_495) != commutator(X_495,multiply(inverse(commutator(inverse(X_496),Y)),X_496))
| commutator(multiply(inverse(multiply(X_496,Y)),Y),X_495) = commutator(X_495,multiply(inverse(commutator(inverse(X_496),Y)),X_496)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(Y),multiply(inverse(X_496),Y)),X_495),commutator(multiply(inverse(multiply(X_496,Y)),Y),X_495)) )],[refute_0_6769,refute_0_6770]) ).
cnf(refute_0_6772,plain,
multiply(commutator(X_496,Y),X_496) = multiply(X_496,commutator(X_496,Y)),
inference(subst,[],[refute_0_2195:[bind(X_102,$fot(Y)),bind(X_58,$fot(X_496))]]) ).
cnf(refute_0_6773,plain,
commutator(Y,inverse(X_496)) = commutator(X_496,Y),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(X_496)),bind(X_110,$fot(Y))]]) ).
cnf(refute_0_6774,plain,
inverse(commutator(inverse(X_496),Y)) = commutator(Y,inverse(X_496)),
inference(subst,[],[refute_0_386:[bind(X,$fot(Y)),bind(Y,$fot(inverse(X_496)))]]) ).
cnf(refute_0_6775,plain,
( commutator(Y,inverse(X_496)) != commutator(X_496,Y)
| inverse(commutator(inverse(X_496),Y)) != commutator(Y,inverse(X_496))
| inverse(commutator(inverse(X_496),Y)) = commutator(X_496,Y) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(commutator(inverse(X_496),Y)))),bind(Y0,$fot(commutator(Y,inverse(X_496)))),bind(Z0,$fot(commutator(X_496,Y)))]]) ).
cnf(refute_0_6776,plain,
( commutator(Y,inverse(X_496)) != commutator(X_496,Y)
| inverse(commutator(inverse(X_496),Y)) = commutator(X_496,Y) ),
inference(resolve,[$cnf( $equal(inverse(commutator(inverse(X_496),Y)),commutator(Y,inverse(X_496))) )],[refute_0_6774,refute_0_6775]) ).
cnf(refute_0_6777,plain,
inverse(commutator(inverse(X_496),Y)) = commutator(X_496,Y),
inference(resolve,[$cnf( $equal(commutator(Y,inverse(X_496)),commutator(X_496,Y)) )],[refute_0_6773,refute_0_6776]) ).
cnf(refute_0_6778,plain,
multiply(inverse(commutator(inverse(X_496),Y)),X_496) = multiply(inverse(commutator(inverse(X_496),Y)),X_496),
introduced(tautology,[refl,[$fot(multiply(inverse(commutator(inverse(X_496),Y)),X_496))]]) ).
cnf(refute_0_6779,plain,
( multiply(inverse(commutator(inverse(X_496),Y)),X_496) != multiply(inverse(commutator(inverse(X_496),Y)),X_496)
| inverse(commutator(inverse(X_496),Y)) != commutator(X_496,Y)
| multiply(inverse(commutator(inverse(X_496),Y)),X_496) = multiply(commutator(X_496,Y),X_496) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(commutator(inverse(X_496),Y)),X_496),multiply(inverse(commutator(inverse(X_496),Y)),X_496)) ),[1,0],$fot(commutator(X_496,Y))]]) ).
cnf(refute_0_6780,plain,
( inverse(commutator(inverse(X_496),Y)) != commutator(X_496,Y)
| multiply(inverse(commutator(inverse(X_496),Y)),X_496) = multiply(commutator(X_496,Y),X_496) ),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(inverse(X_496),Y)),X_496),multiply(inverse(commutator(inverse(X_496),Y)),X_496)) )],[refute_0_6778,refute_0_6779]) ).
cnf(refute_0_6781,plain,
multiply(inverse(commutator(inverse(X_496),Y)),X_496) = multiply(commutator(X_496,Y),X_496),
inference(resolve,[$cnf( $equal(inverse(commutator(inverse(X_496),Y)),commutator(X_496,Y)) )],[refute_0_6777,refute_0_6780]) ).
cnf(refute_0_6782,plain,
( multiply(commutator(X_496,Y),X_496) != multiply(X_496,commutator(X_496,Y))
| multiply(inverse(commutator(inverse(X_496),Y)),X_496) != multiply(commutator(X_496,Y),X_496)
| multiply(inverse(commutator(inverse(X_496),Y)),X_496) = multiply(X_496,commutator(X_496,Y)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(commutator(inverse(X_496),Y)),X_496))),bind(Y0,$fot(multiply(commutator(X_496,Y),X_496))),bind(Z0,$fot(multiply(X_496,commutator(X_496,Y))))]]) ).
cnf(refute_0_6783,plain,
( multiply(commutator(X_496,Y),X_496) != multiply(X_496,commutator(X_496,Y))
| multiply(inverse(commutator(inverse(X_496),Y)),X_496) = multiply(X_496,commutator(X_496,Y)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(inverse(X_496),Y)),X_496),multiply(commutator(X_496,Y),X_496)) )],[refute_0_6781,refute_0_6782]) ).
cnf(refute_0_6784,plain,
multiply(inverse(commutator(inverse(X_496),Y)),X_496) = multiply(X_496,commutator(X_496,Y)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_496,Y),X_496),multiply(X_496,commutator(X_496,Y))) )],[refute_0_6772,refute_0_6783]) ).
cnf(refute_0_6785,plain,
commutator(X_495,multiply(inverse(commutator(inverse(X_496),Y)),X_496)) = commutator(X_495,multiply(inverse(commutator(inverse(X_496),Y)),X_496)),
introduced(tautology,[refl,[$fot(commutator(X_495,multiply(inverse(commutator(inverse(X_496),Y)),X_496)))]]) ).
cnf(refute_0_6786,plain,
( multiply(inverse(commutator(inverse(X_496),Y)),X_496) != multiply(X_496,commutator(X_496,Y))
| commutator(X_495,multiply(inverse(commutator(inverse(X_496),Y)),X_496)) != commutator(X_495,multiply(inverse(commutator(inverse(X_496),Y)),X_496))
| commutator(X_495,multiply(inverse(commutator(inverse(X_496),Y)),X_496)) = commutator(X_495,multiply(X_496,commutator(X_496,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_495,multiply(inverse(commutator(inverse(X_496),Y)),X_496)),commutator(X_495,multiply(inverse(commutator(inverse(X_496),Y)),X_496))) ),[1,1],$fot(multiply(X_496,commutator(X_496,Y)))]]) ).
cnf(refute_0_6787,plain,
( multiply(inverse(commutator(inverse(X_496),Y)),X_496) != multiply(X_496,commutator(X_496,Y))
| commutator(X_495,multiply(inverse(commutator(inverse(X_496),Y)),X_496)) = commutator(X_495,multiply(X_496,commutator(X_496,Y))) ),
inference(resolve,[$cnf( $equal(commutator(X_495,multiply(inverse(commutator(inverse(X_496),Y)),X_496)),commutator(X_495,multiply(inverse(commutator(inverse(X_496),Y)),X_496))) )],[refute_0_6785,refute_0_6786]) ).
cnf(refute_0_6788,plain,
commutator(X_495,multiply(inverse(commutator(inverse(X_496),Y)),X_496)) = commutator(X_495,multiply(X_496,commutator(X_496,Y))),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(inverse(X_496),Y)),X_496),multiply(X_496,commutator(X_496,Y))) )],[refute_0_6784,refute_0_6787]) ).
cnf(refute_0_6789,plain,
( commutator(X_495,multiply(inverse(commutator(inverse(X_496),Y)),X_496)) != commutator(X_495,multiply(X_496,commutator(X_496,Y)))
| commutator(multiply(inverse(multiply(X_496,Y)),Y),X_495) != commutator(X_495,multiply(inverse(commutator(inverse(X_496),Y)),X_496))
| commutator(multiply(inverse(multiply(X_496,Y)),Y),X_495) = commutator(X_495,multiply(X_496,commutator(X_496,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(multiply(X_496,Y)),Y),X_495),commutator(X_495,multiply(inverse(commutator(inverse(X_496),Y)),X_496))) ),[1],$fot(commutator(X_495,multiply(X_496,commutator(X_496,Y))))]]) ).
cnf(refute_0_6790,plain,
( commutator(multiply(inverse(multiply(X_496,Y)),Y),X_495) != commutator(X_495,multiply(inverse(commutator(inverse(X_496),Y)),X_496))
| commutator(multiply(inverse(multiply(X_496,Y)),Y),X_495) = commutator(X_495,multiply(X_496,commutator(X_496,Y))) ),
inference(resolve,[$cnf( $equal(commutator(X_495,multiply(inverse(commutator(inverse(X_496),Y)),X_496)),commutator(X_495,multiply(X_496,commutator(X_496,Y)))) )],[refute_0_6788,refute_0_6789]) ).
cnf(refute_0_6791,plain,
( commutator(multiply(inverse(Y),multiply(inverse(X_496),Y)),X_495) != commutator(X_495,multiply(inverse(commutator(inverse(X_496),Y)),X_496))
| commutator(multiply(inverse(multiply(X_496,Y)),Y),X_495) = commutator(X_495,multiply(X_496,commutator(X_496,Y))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(multiply(X_496,Y)),Y),X_495),commutator(X_495,multiply(inverse(commutator(inverse(X_496),Y)),X_496))) )],[refute_0_6771,refute_0_6790]) ).
cnf(refute_0_6792,plain,
commutator(multiply(inverse(multiply(X_496,Y)),Y),X_495) = commutator(X_495,multiply(X_496,commutator(X_496,Y))),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(Y),multiply(inverse(X_496),Y)),X_495),commutator(X_495,multiply(inverse(commutator(inverse(X_496),Y)),X_496))) )],[refute_0_6764,refute_0_6791]) ).
cnf(refute_0_6793,plain,
( commutator(multiply(inverse(multiply(X_496,Y)),Y),X_495) != commutator(X_495,multiply(X_496,commutator(X_496,Y)))
| commutator(X_495,multiply(X_496,commutator(X_496,Y))) = commutator(multiply(inverse(multiply(X_496,Y)),Y),X_495) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(multiply(inverse(multiply(X_496,Y)),Y),X_495))),bind(Y0,$fot(commutator(X_495,multiply(X_496,commutator(X_496,Y)))))]]) ).
cnf(refute_0_6794,plain,
commutator(X_495,multiply(X_496,commutator(X_496,Y))) = commutator(multiply(inverse(multiply(X_496,Y)),Y),X_495),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(multiply(X_496,Y)),Y),X_495),commutator(X_495,multiply(X_496,commutator(X_496,Y)))) )],[refute_0_6792,refute_0_6793]) ).
cnf(refute_0_6795,plain,
commutator(multiply(multiply(X_510,X_320),inverse(X_320)),multiply(multiply(X_510,commutator(X_510,X_320)),commutator(multiply(X_510,commutator(X_510,X_320)),X_320))) = commutator(multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320),multiply(multiply(X_510,X_320),inverse(X_320))),
inference(subst,[],[refute_0_6794:[bind(Y,$fot(X_320)),bind(X_495,$fot(multiply(multiply(X_510,X_320),inverse(X_320)))),bind(X_496,$fot(multiply(X_510,commutator(X_510,X_320))))]]) ).
cnf(refute_0_6796,plain,
( commutator(multiply(multiply(X_510,X_320),inverse(X_320)),multiply(multiply(X_510,commutator(X_510,X_320)),commutator(multiply(X_510,commutator(X_510,X_320)),X_320))) != commutator(multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320),multiply(multiply(X_510,X_320),inverse(X_320)))
| commutator(multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320),multiply(multiply(X_510,X_320),inverse(X_320))) != commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320))
| commutator(multiply(multiply(X_510,X_320),inverse(X_320)),multiply(multiply(X_510,commutator(X_510,X_320)),commutator(multiply(X_510,commutator(X_510,X_320)),X_320))) = commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(multiply(X_510,X_320),inverse(X_320)),multiply(multiply(X_510,commutator(X_510,X_320)),commutator(multiply(X_510,commutator(X_510,X_320)),X_320))))),bind(Y0,$fot(commutator(multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320),multiply(multiply(X_510,X_320),inverse(X_320))))),bind(Z0,$fot(commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320))))]]) ).
cnf(refute_0_6797,plain,
( commutator(multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320),multiply(multiply(X_510,X_320),inverse(X_320))) != commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320))
| commutator(multiply(multiply(X_510,X_320),inverse(X_320)),multiply(multiply(X_510,commutator(X_510,X_320)),commutator(multiply(X_510,commutator(X_510,X_320)),X_320))) = commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(multiply(X_510,X_320),inverse(X_320)),multiply(multiply(X_510,commutator(X_510,X_320)),commutator(multiply(X_510,commutator(X_510,X_320)),X_320))),commutator(multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320),multiply(multiply(X_510,X_320),inverse(X_320)))) )],[refute_0_6795,refute_0_6796]) ).
cnf(refute_0_6798,plain,
commutator(multiply(multiply(X_510,X_320),inverse(X_320)),multiply(multiply(X_510,commutator(X_510,X_320)),commutator(multiply(X_510,commutator(X_510,X_320)),X_320))) = commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320),multiply(multiply(X_510,X_320),inverse(X_320))),commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320))) )],[refute_0_6757,refute_0_6797]) ).
cnf(refute_0_6799,plain,
commutator(multiply(multiply(X_510,commutator(X_510,X_320)),commutator(multiply(X_510,commutator(X_510,X_320)),X_320)),multiply(X_320,inverse(multiply(X_510,X_320)))) = commutator(multiply(multiply(X_510,X_320),inverse(X_320)),multiply(multiply(X_510,commutator(X_510,X_320)),commutator(multiply(X_510,commutator(X_510,X_320)),X_320))),
inference(subst,[],[refute_0_6756:[bind(Z,$fot(multiply(X_510,X_320))),bind(X_114,$fot(multiply(multiply(X_510,commutator(X_510,X_320)),commutator(multiply(X_510,commutator(X_510,X_320)),X_320)))),bind(X_510,$fot(X_320))]]) ).
cnf(refute_0_6800,plain,
( commutator(multiply(multiply(X_510,X_320),inverse(X_320)),multiply(multiply(X_510,commutator(X_510,X_320)),commutator(multiply(X_510,commutator(X_510,X_320)),X_320))) != commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320))
| commutator(multiply(multiply(X_510,commutator(X_510,X_320)),commutator(multiply(X_510,commutator(X_510,X_320)),X_320)),multiply(X_320,inverse(multiply(X_510,X_320)))) != commutator(multiply(multiply(X_510,X_320),inverse(X_320)),multiply(multiply(X_510,commutator(X_510,X_320)),commutator(multiply(X_510,commutator(X_510,X_320)),X_320)))
| commutator(multiply(multiply(X_510,commutator(X_510,X_320)),commutator(multiply(X_510,commutator(X_510,X_320)),X_320)),multiply(X_320,inverse(multiply(X_510,X_320)))) = commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(multiply(X_510,commutator(X_510,X_320)),commutator(multiply(X_510,commutator(X_510,X_320)),X_320)),multiply(X_320,inverse(multiply(X_510,X_320)))))),bind(Y0,$fot(commutator(multiply(multiply(X_510,X_320),inverse(X_320)),multiply(multiply(X_510,commutator(X_510,X_320)),commutator(multiply(X_510,commutator(X_510,X_320)),X_320))))),bind(Z0,$fot(commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320))))]]) ).
cnf(refute_0_6801,plain,
( commutator(multiply(multiply(X_510,X_320),inverse(X_320)),multiply(multiply(X_510,commutator(X_510,X_320)),commutator(multiply(X_510,commutator(X_510,X_320)),X_320))) != commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320))
| commutator(multiply(multiply(X_510,commutator(X_510,X_320)),commutator(multiply(X_510,commutator(X_510,X_320)),X_320)),multiply(X_320,inverse(multiply(X_510,X_320)))) = commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(multiply(X_510,commutator(X_510,X_320)),commutator(multiply(X_510,commutator(X_510,X_320)),X_320)),multiply(X_320,inverse(multiply(X_510,X_320)))),commutator(multiply(multiply(X_510,X_320),inverse(X_320)),multiply(multiply(X_510,commutator(X_510,X_320)),commutator(multiply(X_510,commutator(X_510,X_320)),X_320)))) )],[refute_0_6799,refute_0_6800]) ).
cnf(refute_0_6802,plain,
commutator(multiply(multiply(X_510,commutator(X_510,X_320)),commutator(multiply(X_510,commutator(X_510,X_320)),X_320)),multiply(X_320,inverse(multiply(X_510,X_320)))) = commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)),
inference(resolve,[$cnf( $equal(commutator(multiply(multiply(X_510,X_320),inverse(X_320)),multiply(multiply(X_510,commutator(X_510,X_320)),commutator(multiply(X_510,commutator(X_510,X_320)),X_320))),commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320))) )],[refute_0_6798,refute_0_6801]) ).
cnf(refute_0_6803,plain,
( commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)) != commutator(X_510,multiply(inverse(X_320),multiply(X_510,multiply(X_320,commutator(X_510,X_320)))))
| commutator(multiply(multiply(X_510,commutator(X_510,X_320)),commutator(multiply(X_510,commutator(X_510,X_320)),X_320)),multiply(X_320,inverse(multiply(X_510,X_320)))) != commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320))
| commutator(multiply(multiply(X_510,commutator(X_510,X_320)),commutator(multiply(X_510,commutator(X_510,X_320)),X_320)),multiply(X_320,inverse(multiply(X_510,X_320)))) = commutator(X_510,multiply(inverse(X_320),multiply(X_510,multiply(X_320,commutator(X_510,X_320))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(multiply(X_510,commutator(X_510,X_320)),commutator(multiply(X_510,commutator(X_510,X_320)),X_320)),multiply(X_320,inverse(multiply(X_510,X_320)))))),bind(Y0,$fot(commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)))),bind(Z0,$fot(commutator(X_510,multiply(inverse(X_320),multiply(X_510,multiply(X_320,commutator(X_510,X_320)))))))]]) ).
cnf(refute_0_6804,plain,
( commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)) != commutator(X_510,multiply(inverse(X_320),multiply(X_510,multiply(X_320,commutator(X_510,X_320)))))
| commutator(multiply(multiply(X_510,commutator(X_510,X_320)),commutator(multiply(X_510,commutator(X_510,X_320)),X_320)),multiply(X_320,inverse(multiply(X_510,X_320)))) = commutator(X_510,multiply(inverse(X_320),multiply(X_510,multiply(X_320,commutator(X_510,X_320))))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(multiply(X_510,commutator(X_510,X_320)),commutator(multiply(X_510,commutator(X_510,X_320)),X_320)),multiply(X_320,inverse(multiply(X_510,X_320)))),commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320))) )],[refute_0_6802,refute_0_6803]) ).
cnf(refute_0_6805,plain,
commutator(multiply(multiply(X_510,commutator(X_510,X_320)),commutator(multiply(X_510,commutator(X_510,X_320)),X_320)),multiply(X_320,inverse(multiply(X_510,X_320)))) = commutator(X_510,multiply(inverse(X_320),multiply(X_510,multiply(X_320,commutator(X_510,X_320))))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_320,inverse(multiply(X_510,X_320))),multiply(inverse(multiply(multiply(X_510,commutator(X_510,X_320)),X_320)),X_320)),commutator(X_510,multiply(inverse(X_320),multiply(X_510,multiply(X_320,commutator(X_510,X_320)))))) )],[refute_0_6717,refute_0_6804]) ).
cnf(refute_0_6806,plain,
( commutator(multiply(multiply(X_510,commutator(X_510,X_320)),commutator(multiply(X_510,commutator(X_510,X_320)),X_320)),multiply(X_320,inverse(multiply(X_510,X_320)))) != commutator(X_510,multiply(inverse(X_320),multiply(X_510,multiply(X_320,commutator(X_510,X_320)))))
| identity != commutator(multiply(multiply(X_510,commutator(X_510,X_320)),commutator(multiply(X_510,commutator(X_510,X_320)),X_320)),multiply(X_320,inverse(multiply(X_510,X_320))))
| identity = commutator(X_510,multiply(inverse(X_320),multiply(X_510,multiply(X_320,commutator(X_510,X_320))))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(multiply(multiply(X_510,commutator(X_510,X_320)),commutator(multiply(X_510,commutator(X_510,X_320)),X_320)),multiply(X_320,inverse(multiply(X_510,X_320))))) ),[1],$fot(commutator(X_510,multiply(inverse(X_320),multiply(X_510,multiply(X_320,commutator(X_510,X_320))))))]]) ).
cnf(refute_0_6807,plain,
( identity != commutator(multiply(multiply(X_510,commutator(X_510,X_320)),commutator(multiply(X_510,commutator(X_510,X_320)),X_320)),multiply(X_320,inverse(multiply(X_510,X_320))))
| identity = commutator(X_510,multiply(inverse(X_320),multiply(X_510,multiply(X_320,commutator(X_510,X_320))))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(multiply(X_510,commutator(X_510,X_320)),commutator(multiply(X_510,commutator(X_510,X_320)),X_320)),multiply(X_320,inverse(multiply(X_510,X_320)))),commutator(X_510,multiply(inverse(X_320),multiply(X_510,multiply(X_320,commutator(X_510,X_320)))))) )],[refute_0_6805,refute_0_6806]) ).
cnf(refute_0_6808,plain,
identity = commutator(X_510,multiply(inverse(X_320),multiply(X_510,multiply(X_320,commutator(X_510,X_320))))),
inference(resolve,[$cnf( $equal(identity,commutator(multiply(multiply(X_510,commutator(X_510,X_320)),commutator(multiply(X_510,commutator(X_510,X_320)),X_320)),multiply(X_320,inverse(multiply(X_510,X_320))))) )],[refute_0_6281,refute_0_6807]) ).
cnf(refute_0_6809,plain,
identity = commutator(X_58,multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512))))),
inference(subst,[],[refute_0_6808:[bind(X_320,$fot(X_512)),bind(X_510,$fot(X_58))]]) ).
cnf(refute_0_6810,plain,
( identity != commutator(X_58,multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))))
| commutator(X_58,multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512))))) = identity ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(identity)),bind(Y0,$fot(commutator(X_58,multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))))))]]) ).
cnf(refute_0_6811,plain,
commutator(X_58,multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512))))) = identity,
inference(resolve,[$cnf( $equal(identity,commutator(X_58,multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))))) )],[refute_0_6809,refute_0_6810]) ).
cnf(refute_0_6812,plain,
( multiply(X_58,inverse(multiply(X_58,multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512))))))) != inverse(multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),commutator(X_58,multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))))))
| commutator(X_58,multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512))))) != identity
| multiply(X_58,inverse(multiply(X_58,multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512))))))) = inverse(multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512))))))),inverse(multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),commutator(X_58,multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))))))) ),[1,0,1],$fot(identity)]]) ).
cnf(refute_0_6813,plain,
( multiply(X_58,inverse(multiply(X_58,multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512))))))) != inverse(multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),commutator(X_58,multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))))))
| multiply(X_58,inverse(multiply(X_58,multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512))))))) = inverse(multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),identity)) ),
inference(resolve,[$cnf( $equal(commutator(X_58,multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512))))),identity) )],[refute_0_6811,refute_0_6812]) ).
cnf(refute_0_6814,plain,
multiply(X_58,inverse(multiply(X_58,multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512))))))) = inverse(multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),identity)),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512))))))),inverse(multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),commutator(X_58,multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))))))) )],[refute_0_6237,refute_0_6813]) ).
cnf(refute_0_6815,plain,
multiply(X_90,multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),inverse(X_90))) = multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),commutator(X_90,multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)))),
inference(subst,[],[refute_0_933:[bind(X_10,$fot(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483))))]]) ).
cnf(refute_0_6816,plain,
commutator(multiply(X_162,inverse(multiply(X_160,X_10))),X_160) = multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_160,X_10))))),multiply(X_162,multiply(inverse(multiply(X_160,X_10)),X_160))),
inference(subst,[],[refute_0_713:[bind(Y,$fot(X_160)),bind(X_10,$fot(inverse(multiply(X_160,X_10)))),bind(X_9,$fot(X_162))]]) ).
cnf(refute_0_6817,plain,
multiply(inverse(multiply(X_160,X_10)),X_160) = inverse(X_10),
inference(subst,[],[refute_0_208:[bind(X_58,$fot(X_160))]]) ).
cnf(refute_0_6818,plain,
( multiply(inverse(multiply(X_160,X_10)),X_160) != inverse(X_10)
| commutator(multiply(X_162,inverse(multiply(X_160,X_10))),X_160) != multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_160,X_10))))),multiply(X_162,multiply(inverse(multiply(X_160,X_10)),X_160)))
| commutator(multiply(X_162,inverse(multiply(X_160,X_10))),X_160) = multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_160,X_10))))),multiply(X_162,inverse(X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_162,inverse(multiply(X_160,X_10))),X_160),multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_160,X_10))))),multiply(X_162,multiply(inverse(multiply(X_160,X_10)),X_160)))) ),[1,1,1],$fot(inverse(X_10))]]) ).
cnf(refute_0_6819,plain,
( commutator(multiply(X_162,inverse(multiply(X_160,X_10))),X_160) != multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_160,X_10))))),multiply(X_162,multiply(inverse(multiply(X_160,X_10)),X_160)))
| commutator(multiply(X_162,inverse(multiply(X_160,X_10))),X_160) = multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_160,X_10))))),multiply(X_162,inverse(X_10))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_160,X_10)),X_160),inverse(X_10)) )],[refute_0_6817,refute_0_6818]) ).
cnf(refute_0_6820,plain,
commutator(multiply(X_162,inverse(multiply(X_160,X_10))),X_160) = multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_160,X_10))))),multiply(X_162,inverse(X_10))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_162,inverse(multiply(X_160,X_10))),X_160),multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_160,X_10))))),multiply(X_162,multiply(inverse(multiply(X_160,X_10)),X_160)))) )],[refute_0_6816,refute_0_6819]) ).
cnf(refute_0_6821,plain,
commutator(X_160,multiply(X_160,multiply(X_10,inverse(X_162)))) = commutator(X_160,multiply(X_10,inverse(X_162))),
inference(subst,[],[refute_0_455:[bind(X_10,$fot(X_160)),bind(X_11,$fot(multiply(X_10,inverse(X_162))))]]) ).
cnf(refute_0_6822,plain,
multiply(multiply(X_160,X_10),inverse(X_162)) = multiply(X_160,multiply(X_10,inverse(X_162))),
inference(subst,[],[associativity:[bind(X,$fot(X_160)),bind(Y,$fot(X_10)),bind(Z,$fot(inverse(X_162)))]]) ).
cnf(refute_0_6823,plain,
commutator(X_160,multiply(multiply(X_160,X_10),inverse(X_162))) = commutator(X_160,multiply(multiply(X_160,X_10),inverse(X_162))),
introduced(tautology,[refl,[$fot(commutator(X_160,multiply(multiply(X_160,X_10),inverse(X_162))))]]) ).
cnf(refute_0_6824,plain,
( multiply(multiply(X_160,X_10),inverse(X_162)) != multiply(X_160,multiply(X_10,inverse(X_162)))
| commutator(X_160,multiply(multiply(X_160,X_10),inverse(X_162))) != commutator(X_160,multiply(multiply(X_160,X_10),inverse(X_162)))
| commutator(X_160,multiply(multiply(X_160,X_10),inverse(X_162))) = commutator(X_160,multiply(X_160,multiply(X_10,inverse(X_162)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_160,multiply(multiply(X_160,X_10),inverse(X_162))),commutator(X_160,multiply(multiply(X_160,X_10),inverse(X_162)))) ),[1,1],$fot(multiply(X_160,multiply(X_10,inverse(X_162))))]]) ).
cnf(refute_0_6825,plain,
( multiply(multiply(X_160,X_10),inverse(X_162)) != multiply(X_160,multiply(X_10,inverse(X_162)))
| commutator(X_160,multiply(multiply(X_160,X_10),inverse(X_162))) = commutator(X_160,multiply(X_160,multiply(X_10,inverse(X_162)))) ),
inference(resolve,[$cnf( $equal(commutator(X_160,multiply(multiply(X_160,X_10),inverse(X_162))),commutator(X_160,multiply(multiply(X_160,X_10),inverse(X_162)))) )],[refute_0_6823,refute_0_6824]) ).
cnf(refute_0_6826,plain,
commutator(X_160,multiply(multiply(X_160,X_10),inverse(X_162))) = commutator(X_160,multiply(X_160,multiply(X_10,inverse(X_162)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_160,X_10),inverse(X_162)),multiply(X_160,multiply(X_10,inverse(X_162)))) )],[refute_0_6822,refute_0_6825]) ).
cnf(refute_0_6827,plain,
( commutator(X_160,multiply(X_160,multiply(X_10,inverse(X_162)))) != commutator(X_160,multiply(X_10,inverse(X_162)))
| commutator(X_160,multiply(multiply(X_160,X_10),inverse(X_162))) != commutator(X_160,multiply(X_160,multiply(X_10,inverse(X_162))))
| commutator(X_160,multiply(multiply(X_160,X_10),inverse(X_162))) = commutator(X_160,multiply(X_10,inverse(X_162))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(X_160,multiply(multiply(X_160,X_10),inverse(X_162))))),bind(Y0,$fot(commutator(X_160,multiply(X_160,multiply(X_10,inverse(X_162)))))),bind(Z0,$fot(commutator(X_160,multiply(X_10,inverse(X_162)))))]]) ).
cnf(refute_0_6828,plain,
( commutator(X_160,multiply(X_160,multiply(X_10,inverse(X_162)))) != commutator(X_160,multiply(X_10,inverse(X_162)))
| commutator(X_160,multiply(multiply(X_160,X_10),inverse(X_162))) = commutator(X_160,multiply(X_10,inverse(X_162))) ),
inference(resolve,[$cnf( $equal(commutator(X_160,multiply(multiply(X_160,X_10),inverse(X_162))),commutator(X_160,multiply(X_160,multiply(X_10,inverse(X_162))))) )],[refute_0_6826,refute_0_6827]) ).
cnf(refute_0_6829,plain,
commutator(X_160,multiply(multiply(X_160,X_10),inverse(X_162))) = commutator(X_160,multiply(X_10,inverse(X_162))),
inference(resolve,[$cnf( $equal(commutator(X_160,multiply(X_160,multiply(X_10,inverse(X_162)))),commutator(X_160,multiply(X_10,inverse(X_162)))) )],[refute_0_6821,refute_0_6828]) ).
cnf(refute_0_6830,plain,
commutator(multiply(X_162,inverse(multiply(X_160,X_10))),X_160) = commutator(X_160,multiply(multiply(X_160,X_10),inverse(X_162))),
inference(subst,[],[refute_0_1601:[bind(X_110,$fot(X_160)),bind(X_141,$fot(multiply(X_160,X_10))),bind(X_142,$fot(X_162))]]) ).
cnf(refute_0_6831,plain,
( commutator(X_160,multiply(multiply(X_160,X_10),inverse(X_162))) != commutator(X_160,multiply(X_10,inverse(X_162)))
| commutator(multiply(X_162,inverse(multiply(X_160,X_10))),X_160) != commutator(X_160,multiply(multiply(X_160,X_10),inverse(X_162)))
| commutator(multiply(X_162,inverse(multiply(X_160,X_10))),X_160) = commutator(X_160,multiply(X_10,inverse(X_162))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_162,inverse(multiply(X_160,X_10))),X_160))),bind(Y0,$fot(commutator(X_160,multiply(multiply(X_160,X_10),inverse(X_162))))),bind(Z0,$fot(commutator(X_160,multiply(X_10,inverse(X_162)))))]]) ).
cnf(refute_0_6832,plain,
( commutator(X_160,multiply(multiply(X_160,X_10),inverse(X_162))) != commutator(X_160,multiply(X_10,inverse(X_162)))
| commutator(multiply(X_162,inverse(multiply(X_160,X_10))),X_160) = commutator(X_160,multiply(X_10,inverse(X_162))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_162,inverse(multiply(X_160,X_10))),X_160),commutator(X_160,multiply(multiply(X_160,X_10),inverse(X_162)))) )],[refute_0_6830,refute_0_6831]) ).
cnf(refute_0_6833,plain,
commutator(multiply(X_162,inverse(multiply(X_160,X_10))),X_160) = commutator(X_160,multiply(X_10,inverse(X_162))),
inference(resolve,[$cnf( $equal(commutator(X_160,multiply(multiply(X_160,X_10),inverse(X_162))),commutator(X_160,multiply(X_10,inverse(X_162)))) )],[refute_0_6829,refute_0_6832]) ).
cnf(refute_0_6834,plain,
( commutator(multiply(X_162,inverse(multiply(X_160,X_10))),X_160) != multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_160,X_10))))),multiply(X_162,inverse(X_10)))
| commutator(multiply(X_162,inverse(multiply(X_160,X_10))),X_160) != commutator(X_160,multiply(X_10,inverse(X_162)))
| commutator(X_160,multiply(X_10,inverse(X_162))) = multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_160,X_10))))),multiply(X_162,inverse(X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_162,inverse(multiply(X_160,X_10))),X_160),multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_160,X_10))))),multiply(X_162,inverse(X_10)))) ),[0],$fot(commutator(X_160,multiply(X_10,inverse(X_162))))]]) ).
cnf(refute_0_6835,plain,
( commutator(multiply(X_162,inverse(multiply(X_160,X_10))),X_160) != multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_160,X_10))))),multiply(X_162,inverse(X_10)))
| commutator(X_160,multiply(X_10,inverse(X_162))) = multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_160,X_10))))),multiply(X_162,inverse(X_10))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_162,inverse(multiply(X_160,X_10))),X_160),commutator(X_160,multiply(X_10,inverse(X_162)))) )],[refute_0_6833,refute_0_6834]) ).
cnf(refute_0_6836,plain,
multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_160,X_10))))),multiply(X_162,inverse(X_10))) = inverse(multiply(X_10,multiply(inverse(X_162),multiply(X_160,multiply(X_162,inverse(multiply(X_160,X_10))))))),
inference(subst,[],[refute_0_1684:[bind(X_58,$fot(X_10)),bind(X_73,$fot(multiply(X_160,multiply(X_162,inverse(multiply(X_160,X_10)))))),bind(X_74,$fot(X_162))]]) ).
cnf(refute_0_6837,plain,
( multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_160,X_10))))),multiply(X_162,inverse(X_10))) != inverse(multiply(X_10,multiply(inverse(X_162),multiply(X_160,multiply(X_162,inverse(multiply(X_160,X_10)))))))
| commutator(X_160,multiply(X_10,inverse(X_162))) != multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_160,X_10))))),multiply(X_162,inverse(X_10)))
| commutator(X_160,multiply(X_10,inverse(X_162))) = inverse(multiply(X_10,multiply(inverse(X_162),multiply(X_160,multiply(X_162,inverse(multiply(X_160,X_10))))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_160,multiply(X_10,inverse(X_162))),multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_160,X_10))))),multiply(X_162,inverse(X_10)))) ),[1],$fot(inverse(multiply(X_10,multiply(inverse(X_162),multiply(X_160,multiply(X_162,inverse(multiply(X_160,X_10))))))))]]) ).
cnf(refute_0_6838,plain,
( commutator(X_160,multiply(X_10,inverse(X_162))) != multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_160,X_10))))),multiply(X_162,inverse(X_10)))
| commutator(X_160,multiply(X_10,inverse(X_162))) = inverse(multiply(X_10,multiply(inverse(X_162),multiply(X_160,multiply(X_162,inverse(multiply(X_160,X_10))))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_160,X_10))))),multiply(X_162,inverse(X_10))),inverse(multiply(X_10,multiply(inverse(X_162),multiply(X_160,multiply(X_162,inverse(multiply(X_160,X_10)))))))) )],[refute_0_6836,refute_0_6837]) ).
cnf(refute_0_6839,plain,
( commutator(multiply(X_162,inverse(multiply(X_160,X_10))),X_160) != multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_160,X_10))))),multiply(X_162,inverse(X_10)))
| commutator(X_160,multiply(X_10,inverse(X_162))) = inverse(multiply(X_10,multiply(inverse(X_162),multiply(X_160,multiply(X_162,inverse(multiply(X_160,X_10))))))) ),
inference(resolve,[$cnf( $equal(commutator(X_160,multiply(X_10,inverse(X_162))),multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_160,X_10))))),multiply(X_162,inverse(X_10)))) )],[refute_0_6835,refute_0_6838]) ).
cnf(refute_0_6840,plain,
commutator(X_160,multiply(X_10,inverse(X_162))) = inverse(multiply(X_10,multiply(inverse(X_162),multiply(X_160,multiply(X_162,inverse(multiply(X_160,X_10))))))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_162,inverse(multiply(X_160,X_10))),X_160),multiply(inverse(multiply(X_160,multiply(X_162,inverse(multiply(X_160,X_10))))),multiply(X_162,inverse(X_10)))) )],[refute_0_6820,refute_0_6839]) ).
cnf(refute_0_6841,plain,
commutator(X_429,multiply(X_428,inverse(inverse(multiply(X_429,X_428))))) = inverse(multiply(X_428,multiply(inverse(inverse(multiply(X_429,X_428))),multiply(X_429,multiply(inverse(multiply(X_429,X_428)),inverse(multiply(X_429,X_428))))))),
inference(subst,[],[refute_0_6840:[bind(X_10,$fot(X_428)),bind(X_160,$fot(X_429)),bind(X_162,$fot(inverse(multiply(X_429,X_428))))]]) ).
cnf(refute_0_6842,plain,
multiply(inverse(inverse(multiply(X_429,X_428))),multiply(X_429,multiply(inverse(multiply(X_429,X_428)),inverse(multiply(X_429,X_428))))) = multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428))))),
inference(subst,[],[refute_0_3098:[bind(X_127,$fot(inverse(multiply(X_429,X_428)))),bind(X_134,$fot(X_429))]]) ).
cnf(refute_0_6843,plain,
( multiply(inverse(inverse(multiply(X_429,X_428))),multiply(X_429,multiply(inverse(multiply(X_429,X_428)),inverse(multiply(X_429,X_428))))) != multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428)))))
| commutator(X_429,multiply(X_428,inverse(inverse(multiply(X_429,X_428))))) != inverse(multiply(X_428,multiply(inverse(inverse(multiply(X_429,X_428))),multiply(X_429,multiply(inverse(multiply(X_429,X_428)),inverse(multiply(X_429,X_428)))))))
| commutator(X_429,multiply(X_428,inverse(inverse(multiply(X_429,X_428))))) = inverse(multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428))))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_429,multiply(X_428,inverse(inverse(multiply(X_429,X_428))))),inverse(multiply(X_428,multiply(inverse(inverse(multiply(X_429,X_428))),multiply(X_429,multiply(inverse(multiply(X_429,X_428)),inverse(multiply(X_429,X_428)))))))) ),[1,0,1],$fot(multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428))))))]]) ).
cnf(refute_0_6844,plain,
( commutator(X_429,multiply(X_428,inverse(inverse(multiply(X_429,X_428))))) != inverse(multiply(X_428,multiply(inverse(inverse(multiply(X_429,X_428))),multiply(X_429,multiply(inverse(multiply(X_429,X_428)),inverse(multiply(X_429,X_428)))))))
| commutator(X_429,multiply(X_428,inverse(inverse(multiply(X_429,X_428))))) = inverse(multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428))))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_429,X_428))),multiply(X_429,multiply(inverse(multiply(X_429,X_428)),inverse(multiply(X_429,X_428))))),multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428)))))) )],[refute_0_6842,refute_0_6843]) ).
cnf(refute_0_6845,plain,
commutator(X_429,multiply(X_428,inverse(inverse(multiply(X_429,X_428))))) = inverse(multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428))))))),
inference(resolve,[$cnf( $equal(commutator(X_429,multiply(X_428,inverse(inverse(multiply(X_429,X_428))))),inverse(multiply(X_428,multiply(inverse(inverse(multiply(X_429,X_428))),multiply(X_429,multiply(inverse(multiply(X_429,X_428)),inverse(multiply(X_429,X_428)))))))) )],[refute_0_6841,refute_0_6844]) ).
cnf(refute_0_6846,plain,
inverse(inverse(multiply(X_429,X_428))) = multiply(X_429,X_428),
inference(subst,[],[refute_0_152:[bind(X_27,$fot(multiply(X_429,X_428)))]]) ).
cnf(refute_0_6847,plain,
multiply(X_428,inverse(inverse(multiply(X_429,X_428)))) = multiply(X_428,inverse(inverse(multiply(X_429,X_428)))),
introduced(tautology,[refl,[$fot(multiply(X_428,inverse(inverse(multiply(X_429,X_428)))))]]) ).
cnf(refute_0_6848,plain,
( multiply(X_428,inverse(inverse(multiply(X_429,X_428)))) != multiply(X_428,inverse(inverse(multiply(X_429,X_428))))
| inverse(inverse(multiply(X_429,X_428))) != multiply(X_429,X_428)
| multiply(X_428,inverse(inverse(multiply(X_429,X_428)))) = multiply(X_428,multiply(X_429,X_428)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_428,inverse(inverse(multiply(X_429,X_428)))),multiply(X_428,inverse(inverse(multiply(X_429,X_428))))) ),[1,1],$fot(multiply(X_429,X_428))]]) ).
cnf(refute_0_6849,plain,
( inverse(inverse(multiply(X_429,X_428))) != multiply(X_429,X_428)
| multiply(X_428,inverse(inverse(multiply(X_429,X_428)))) = multiply(X_428,multiply(X_429,X_428)) ),
inference(resolve,[$cnf( $equal(multiply(X_428,inverse(inverse(multiply(X_429,X_428)))),multiply(X_428,inverse(inverse(multiply(X_429,X_428))))) )],[refute_0_6847,refute_0_6848]) ).
cnf(refute_0_6850,plain,
multiply(X_428,inverse(inverse(multiply(X_429,X_428)))) = multiply(X_428,multiply(X_429,X_428)),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_429,X_428))),multiply(X_429,X_428)) )],[refute_0_6846,refute_0_6849]) ).
cnf(refute_0_6851,plain,
commutator(X_429,multiply(X_428,inverse(inverse(multiply(X_429,X_428))))) = commutator(X_429,multiply(X_428,inverse(inverse(multiply(X_429,X_428))))),
introduced(tautology,[refl,[$fot(commutator(X_429,multiply(X_428,inverse(inverse(multiply(X_429,X_428))))))]]) ).
cnf(refute_0_6852,plain,
( multiply(X_428,inverse(inverse(multiply(X_429,X_428)))) != multiply(X_428,multiply(X_429,X_428))
| commutator(X_429,multiply(X_428,inverse(inverse(multiply(X_429,X_428))))) != commutator(X_429,multiply(X_428,inverse(inverse(multiply(X_429,X_428)))))
| commutator(X_429,multiply(X_428,inverse(inverse(multiply(X_429,X_428))))) = commutator(X_429,multiply(X_428,multiply(X_429,X_428))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_429,multiply(X_428,inverse(inverse(multiply(X_429,X_428))))),commutator(X_429,multiply(X_428,inverse(inverse(multiply(X_429,X_428)))))) ),[1,1],$fot(multiply(X_428,multiply(X_429,X_428)))]]) ).
cnf(refute_0_6853,plain,
( multiply(X_428,inverse(inverse(multiply(X_429,X_428)))) != multiply(X_428,multiply(X_429,X_428))
| commutator(X_429,multiply(X_428,inverse(inverse(multiply(X_429,X_428))))) = commutator(X_429,multiply(X_428,multiply(X_429,X_428))) ),
inference(resolve,[$cnf( $equal(commutator(X_429,multiply(X_428,inverse(inverse(multiply(X_429,X_428))))),commutator(X_429,multiply(X_428,inverse(inverse(multiply(X_429,X_428)))))) )],[refute_0_6851,refute_0_6852]) ).
cnf(refute_0_6854,plain,
commutator(X_429,multiply(X_428,inverse(inverse(multiply(X_429,X_428))))) = commutator(X_429,multiply(X_428,multiply(X_429,X_428))),
inference(resolve,[$cnf( $equal(multiply(X_428,inverse(inverse(multiply(X_429,X_428)))),multiply(X_428,multiply(X_429,X_428))) )],[refute_0_6850,refute_0_6853]) ).
cnf(refute_0_6855,plain,
( commutator(X_429,multiply(X_428,inverse(inverse(multiply(X_429,X_428))))) != commutator(X_429,multiply(X_428,multiply(X_429,X_428)))
| commutator(X_429,multiply(X_428,inverse(inverse(multiply(X_429,X_428))))) != inverse(multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428)))))))
| commutator(X_429,multiply(X_428,multiply(X_429,X_428))) = inverse(multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428))))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_429,multiply(X_428,inverse(inverse(multiply(X_429,X_428))))),inverse(multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428)))))))) ),[0],$fot(commutator(X_429,multiply(X_428,multiply(X_429,X_428))))]]) ).
cnf(refute_0_6856,plain,
( commutator(X_429,multiply(X_428,inverse(inverse(multiply(X_429,X_428))))) != inverse(multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428)))))))
| commutator(X_429,multiply(X_428,multiply(X_429,X_428))) = inverse(multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428))))))) ),
inference(resolve,[$cnf( $equal(commutator(X_429,multiply(X_428,inverse(inverse(multiply(X_429,X_428))))),commutator(X_429,multiply(X_428,multiply(X_429,X_428)))) )],[refute_0_6854,refute_0_6855]) ).
cnf(refute_0_6857,plain,
inverse(commutator(multiply(X_428,X_428),X_429)) = commutator(X_429,multiply(X_428,X_428)),
inference(subst,[],[refute_0_386:[bind(X,$fot(X_429)),bind(Y,$fot(multiply(X_428,X_428)))]]) ).
cnf(refute_0_6858,plain,
multiply(commutator(X_428,X_429),commutator(X_428,X_429)) = commutator(multiply(X_428,X_428),X_429),
inference(subst,[],[refute_0_2686:[bind(X_325,$fot(X_429)),bind(X_90,$fot(X_428))]]) ).
cnf(refute_0_6859,plain,
commutator(multiply(X_429,X_428),X_429) = commutator(X_428,X_429),
inference(subst,[],[refute_0_951:[bind(Y,$fot(X_429)),bind(X_86,$fot(X_428))]]) ).
cnf(refute_0_6860,plain,
commutator(X_429,inverse(multiply(X_429,X_428))) = commutator(multiply(X_429,X_428),X_429),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(multiply(X_429,X_428))),bind(X_110,$fot(X_429))]]) ).
cnf(refute_0_6861,plain,
( commutator(X_429,inverse(multiply(X_429,X_428))) != commutator(multiply(X_429,X_428),X_429)
| commutator(multiply(X_429,X_428),X_429) != commutator(X_428,X_429)
| commutator(X_429,inverse(multiply(X_429,X_428))) = commutator(X_428,X_429) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(X_429,inverse(multiply(X_429,X_428))))),bind(Y0,$fot(commutator(multiply(X_429,X_428),X_429))),bind(Z0,$fot(commutator(X_428,X_429)))]]) ).
cnf(refute_0_6862,plain,
( commutator(multiply(X_429,X_428),X_429) != commutator(X_428,X_429)
| commutator(X_429,inverse(multiply(X_429,X_428))) = commutator(X_428,X_429) ),
inference(resolve,[$cnf( $equal(commutator(X_429,inverse(multiply(X_429,X_428))),commutator(multiply(X_429,X_428),X_429)) )],[refute_0_6860,refute_0_6861]) ).
cnf(refute_0_6863,plain,
commutator(X_429,inverse(multiply(X_429,X_428))) = commutator(X_428,X_429),
inference(resolve,[$cnf( $equal(commutator(multiply(X_429,X_428),X_429),commutator(X_428,X_429)) )],[refute_0_6859,refute_0_6862]) ).
cnf(refute_0_6864,plain,
multiply(commutator(X_428,X_429),commutator(X_429,inverse(multiply(X_429,X_428)))) = multiply(commutator(X_428,X_429),commutator(X_429,inverse(multiply(X_429,X_428)))),
introduced(tautology,[refl,[$fot(multiply(commutator(X_428,X_429),commutator(X_429,inverse(multiply(X_429,X_428)))))]]) ).
cnf(refute_0_6865,plain,
( multiply(commutator(X_428,X_429),commutator(X_429,inverse(multiply(X_429,X_428)))) != multiply(commutator(X_428,X_429),commutator(X_429,inverse(multiply(X_429,X_428))))
| commutator(X_429,inverse(multiply(X_429,X_428))) != commutator(X_428,X_429)
| multiply(commutator(X_428,X_429),commutator(X_429,inverse(multiply(X_429,X_428)))) = multiply(commutator(X_428,X_429),commutator(X_428,X_429)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_428,X_429),commutator(X_429,inverse(multiply(X_429,X_428)))),multiply(commutator(X_428,X_429),commutator(X_429,inverse(multiply(X_429,X_428))))) ),[1,1],$fot(commutator(X_428,X_429))]]) ).
cnf(refute_0_6866,plain,
( commutator(X_429,inverse(multiply(X_429,X_428))) != commutator(X_428,X_429)
| multiply(commutator(X_428,X_429),commutator(X_429,inverse(multiply(X_429,X_428)))) = multiply(commutator(X_428,X_429),commutator(X_428,X_429)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_428,X_429),commutator(X_429,inverse(multiply(X_429,X_428)))),multiply(commutator(X_428,X_429),commutator(X_429,inverse(multiply(X_429,X_428))))) )],[refute_0_6864,refute_0_6865]) ).
cnf(refute_0_6867,plain,
multiply(commutator(X_428,X_429),commutator(X_429,inverse(multiply(X_429,X_428)))) = multiply(commutator(X_428,X_429),commutator(X_428,X_429)),
inference(resolve,[$cnf( $equal(commutator(X_429,inverse(multiply(X_429,X_428))),commutator(X_428,X_429)) )],[refute_0_6863,refute_0_6866]) ).
cnf(refute_0_6868,plain,
( multiply(commutator(X_428,X_429),commutator(X_428,X_429)) != commutator(multiply(X_428,X_428),X_429)
| multiply(commutator(X_428,X_429),commutator(X_429,inverse(multiply(X_429,X_428)))) != multiply(commutator(X_428,X_429),commutator(X_428,X_429))
| multiply(commutator(X_428,X_429),commutator(X_429,inverse(multiply(X_429,X_428)))) = commutator(multiply(X_428,X_428),X_429) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_428,X_429),commutator(X_429,inverse(multiply(X_429,X_428)))))),bind(Y0,$fot(multiply(commutator(X_428,X_429),commutator(X_428,X_429)))),bind(Z0,$fot(commutator(multiply(X_428,X_428),X_429)))]]) ).
cnf(refute_0_6869,plain,
( multiply(commutator(X_428,X_429),commutator(X_428,X_429)) != commutator(multiply(X_428,X_428),X_429)
| multiply(commutator(X_428,X_429),commutator(X_429,inverse(multiply(X_429,X_428)))) = commutator(multiply(X_428,X_428),X_429) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_428,X_429),commutator(X_429,inverse(multiply(X_429,X_428)))),multiply(commutator(X_428,X_429),commutator(X_428,X_429))) )],[refute_0_6867,refute_0_6868]) ).
cnf(refute_0_6870,plain,
multiply(commutator(X_428,X_429),commutator(X_429,inverse(multiply(X_429,X_428)))) = commutator(multiply(X_428,X_428),X_429),
inference(resolve,[$cnf( $equal(multiply(commutator(X_428,X_429),commutator(X_428,X_429)),commutator(multiply(X_428,X_428),X_429)) )],[refute_0_6858,refute_0_6869]) ).
cnf(refute_0_6871,plain,
( multiply(commutator(X,X_184),Z) != multiply(X,multiply(X_184,multiply(inverse(multiply(X_184,X)),Z)))
| multiply(X,multiply(X_184,multiply(inverse(multiply(X_184,X)),Z))) = multiply(commutator(X,X_184),Z) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(commutator(X,X_184),Z))),bind(Y0,$fot(multiply(X,multiply(X_184,multiply(inverse(multiply(X_184,X)),Z)))))]]) ).
cnf(refute_0_6872,plain,
multiply(X,multiply(X_184,multiply(inverse(multiply(X_184,X)),Z))) = multiply(commutator(X,X_184),Z),
inference(resolve,[$cnf( $equal(multiply(commutator(X,X_184),Z),multiply(X,multiply(X_184,multiply(inverse(multiply(X_184,X)),Z)))) )],[refute_0_4010,refute_0_6871]) ).
cnf(refute_0_6873,plain,
multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428)))))) = multiply(commutator(X_428,X_429),commutator(X_429,inverse(multiply(X_429,X_428)))),
inference(subst,[],[refute_0_6872:[bind(X,$fot(X_428)),bind(Z,$fot(commutator(X_429,inverse(multiply(X_429,X_428))))),bind(X_184,$fot(X_429))]]) ).
cnf(refute_0_6874,plain,
( multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428)))))) != multiply(commutator(X_428,X_429),commutator(X_429,inverse(multiply(X_429,X_428))))
| multiply(commutator(X_428,X_429),commutator(X_429,inverse(multiply(X_429,X_428)))) != commutator(multiply(X_428,X_428),X_429)
| multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428)))))) = commutator(multiply(X_428,X_428),X_429) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428)))))))),bind(Y0,$fot(multiply(commutator(X_428,X_429),commutator(X_429,inverse(multiply(X_429,X_428)))))),bind(Z0,$fot(commutator(multiply(X_428,X_428),X_429)))]]) ).
cnf(refute_0_6875,plain,
( multiply(commutator(X_428,X_429),commutator(X_429,inverse(multiply(X_429,X_428)))) != commutator(multiply(X_428,X_428),X_429)
| multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428)))))) = commutator(multiply(X_428,X_428),X_429) ),
inference(resolve,[$cnf( $equal(multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428)))))),multiply(commutator(X_428,X_429),commutator(X_429,inverse(multiply(X_429,X_428))))) )],[refute_0_6873,refute_0_6874]) ).
cnf(refute_0_6876,plain,
multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428)))))) = commutator(multiply(X_428,X_428),X_429),
inference(resolve,[$cnf( $equal(multiply(commutator(X_428,X_429),commutator(X_429,inverse(multiply(X_429,X_428)))),commutator(multiply(X_428,X_428),X_429)) )],[refute_0_6870,refute_0_6875]) ).
cnf(refute_0_6877,plain,
inverse(multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428))))))) = inverse(multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428))))))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428))))))))]]) ).
cnf(refute_0_6878,plain,
( multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428)))))) != commutator(multiply(X_428,X_428),X_429)
| inverse(multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428))))))) != inverse(multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428)))))))
| inverse(multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428))))))) = inverse(commutator(multiply(X_428,X_428),X_429)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428))))))),inverse(multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428)))))))) ),[1,0],$fot(commutator(multiply(X_428,X_428),X_429))]]) ).
cnf(refute_0_6879,plain,
( multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428)))))) != commutator(multiply(X_428,X_428),X_429)
| inverse(multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428))))))) = inverse(commutator(multiply(X_428,X_428),X_429)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428))))))),inverse(multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428)))))))) )],[refute_0_6877,refute_0_6878]) ).
cnf(refute_0_6880,plain,
inverse(multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428))))))) = inverse(commutator(multiply(X_428,X_428),X_429)),
inference(resolve,[$cnf( $equal(multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428)))))),commutator(multiply(X_428,X_428),X_429)) )],[refute_0_6876,refute_0_6879]) ).
cnf(refute_0_6881,plain,
( inverse(multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428))))))) != inverse(commutator(multiply(X_428,X_428),X_429))
| inverse(commutator(multiply(X_428,X_428),X_429)) != commutator(X_429,multiply(X_428,X_428))
| inverse(multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428))))))) = commutator(X_429,multiply(X_428,X_428)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428))))))))),bind(Y0,$fot(inverse(commutator(multiply(X_428,X_428),X_429)))),bind(Z0,$fot(commutator(X_429,multiply(X_428,X_428))))]]) ).
cnf(refute_0_6882,plain,
( inverse(commutator(multiply(X_428,X_428),X_429)) != commutator(X_429,multiply(X_428,X_428))
| inverse(multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428))))))) = commutator(X_429,multiply(X_428,X_428)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428))))))),inverse(commutator(multiply(X_428,X_428),X_429))) )],[refute_0_6880,refute_0_6881]) ).
cnf(refute_0_6883,plain,
inverse(multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428))))))) = commutator(X_429,multiply(X_428,X_428)),
inference(resolve,[$cnf( $equal(inverse(commutator(multiply(X_428,X_428),X_429)),commutator(X_429,multiply(X_428,X_428))) )],[refute_0_6857,refute_0_6882]) ).
cnf(refute_0_6884,plain,
( commutator(X_429,multiply(X_428,multiply(X_429,X_428))) != inverse(multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428)))))))
| inverse(multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428))))))) != commutator(X_429,multiply(X_428,X_428))
| commutator(X_429,multiply(X_428,multiply(X_429,X_428))) = commutator(X_429,multiply(X_428,X_428)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(X_429,multiply(X_428,multiply(X_429,X_428))),commutator(X_429,multiply(X_428,X_428))) ),[0],$fot(inverse(multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428))))))))]]) ).
cnf(refute_0_6885,plain,
( commutator(X_429,multiply(X_428,multiply(X_429,X_428))) != inverse(multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428)))))))
| commutator(X_429,multiply(X_428,multiply(X_429,X_428))) = commutator(X_429,multiply(X_428,X_428)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428))))))),commutator(X_429,multiply(X_428,X_428))) )],[refute_0_6883,refute_0_6884]) ).
cnf(refute_0_6886,plain,
( commutator(X_429,multiply(X_428,inverse(inverse(multiply(X_429,X_428))))) != inverse(multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428)))))))
| commutator(X_429,multiply(X_428,multiply(X_429,X_428))) = commutator(X_429,multiply(X_428,X_428)) ),
inference(resolve,[$cnf( $equal(commutator(X_429,multiply(X_428,multiply(X_429,X_428))),inverse(multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428)))))))) )],[refute_0_6856,refute_0_6885]) ).
cnf(refute_0_6887,plain,
commutator(X_429,multiply(X_428,multiply(X_429,X_428))) = commutator(X_429,multiply(X_428,X_428)),
inference(resolve,[$cnf( $equal(commutator(X_429,multiply(X_428,inverse(inverse(multiply(X_429,X_428))))),inverse(multiply(X_428,multiply(X_429,multiply(inverse(multiply(X_429,X_428)),commutator(X_429,inverse(multiply(X_429,X_428)))))))) )],[refute_0_6845,refute_0_6886]) ).
cnf(refute_0_6888,plain,
commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),multiply(X_432,multiply(inverse(multiply(X_432,X_16)),X_16)))) = commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),multiply(inverse(multiply(X_432,X_16)),X_16))),
inference(subst,[],[refute_0_6887:[bind(X_428,$fot(multiply(inverse(multiply(X_432,X_16)),X_16))),bind(X_429,$fot(X_432))]]) ).
cnf(refute_0_6889,plain,
commutator(X_16,X_432) = multiply(X_432,multiply(inverse(multiply(X_432,X_16)),X_16)),
inference(subst,[],[refute_0_1905:[bind(X_15,$fot(X_432))]]) ).
cnf(refute_0_6890,plain,
( commutator(X_16,X_432) != multiply(X_432,multiply(inverse(multiply(X_432,X_16)),X_16))
| multiply(X_432,multiply(inverse(multiply(X_432,X_16)),X_16)) = commutator(X_16,X_432) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_16,X_432))),bind(Y0,$fot(multiply(X_432,multiply(inverse(multiply(X_432,X_16)),X_16))))]]) ).
cnf(refute_0_6891,plain,
multiply(X_432,multiply(inverse(multiply(X_432,X_16)),X_16)) = commutator(X_16,X_432),
inference(resolve,[$cnf( $equal(commutator(X_16,X_432),multiply(X_432,multiply(inverse(multiply(X_432,X_16)),X_16))) )],[refute_0_6889,refute_0_6890]) ).
cnf(refute_0_6892,plain,
( multiply(X_432,multiply(inverse(multiply(X_432,X_16)),X_16)) != commutator(X_16,X_432)
| commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),multiply(X_432,multiply(inverse(multiply(X_432,X_16)),X_16)))) != commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),multiply(inverse(multiply(X_432,X_16)),X_16)))
| commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),commutator(X_16,X_432))) = commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),multiply(inverse(multiply(X_432,X_16)),X_16))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),multiply(X_432,multiply(inverse(multiply(X_432,X_16)),X_16)))),commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),multiply(inverse(multiply(X_432,X_16)),X_16)))) ),[0,1,1],$fot(commutator(X_16,X_432))]]) ).
cnf(refute_0_6893,plain,
( commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),multiply(X_432,multiply(inverse(multiply(X_432,X_16)),X_16)))) != commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),multiply(inverse(multiply(X_432,X_16)),X_16)))
| commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),commutator(X_16,X_432))) = commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),multiply(inverse(multiply(X_432,X_16)),X_16))) ),
inference(resolve,[$cnf( $equal(multiply(X_432,multiply(inverse(multiply(X_432,X_16)),X_16)),commutator(X_16,X_432)) )],[refute_0_6891,refute_0_6892]) ).
cnf(refute_0_6894,plain,
commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),commutator(X_16,X_432))) = commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),multiply(inverse(multiply(X_432,X_16)),X_16))),
inference(resolve,[$cnf( $equal(commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),multiply(X_432,multiply(inverse(multiply(X_432,X_16)),X_16)))),commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),multiply(inverse(multiply(X_432,X_16)),X_16)))) )],[refute_0_6888,refute_0_6893]) ).
cnf(refute_0_6895,plain,
multiply(commutator(X,Y),multiply(inverse(multiply(Y,X_423)),X_423)) = multiply(inverse(multiply(Y,X)),multiply(X,multiply(Y,multiply(inverse(multiply(Y,X_423)),X_423)))),
inference(subst,[],[refute_0_246:[bind(X_11,$fot(multiply(inverse(multiply(Y,X_423)),X_423)))]]) ).
cnf(refute_0_6896,plain,
commutator(X_423,Y) = multiply(Y,multiply(inverse(multiply(Y,X_423)),X_423)),
inference(subst,[],[refute_0_1905:[bind(X_15,$fot(Y)),bind(X_16,$fot(X_423))]]) ).
cnf(refute_0_6897,plain,
( commutator(X_423,Y) != multiply(Y,multiply(inverse(multiply(Y,X_423)),X_423))
| multiply(Y,multiply(inverse(multiply(Y,X_423)),X_423)) = commutator(X_423,Y) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_423,Y))),bind(Y0,$fot(multiply(Y,multiply(inverse(multiply(Y,X_423)),X_423))))]]) ).
cnf(refute_0_6898,plain,
multiply(Y,multiply(inverse(multiply(Y,X_423)),X_423)) = commutator(X_423,Y),
inference(resolve,[$cnf( $equal(commutator(X_423,Y),multiply(Y,multiply(inverse(multiply(Y,X_423)),X_423))) )],[refute_0_6896,refute_0_6897]) ).
cnf(refute_0_6899,plain,
( multiply(Y,multiply(inverse(multiply(Y,X_423)),X_423)) != commutator(X_423,Y)
| multiply(commutator(X,Y),multiply(inverse(multiply(Y,X_423)),X_423)) != multiply(inverse(multiply(Y,X)),multiply(X,multiply(Y,multiply(inverse(multiply(Y,X_423)),X_423))))
| multiply(commutator(X,Y),multiply(inverse(multiply(Y,X_423)),X_423)) = multiply(inverse(multiply(Y,X)),multiply(X,commutator(X_423,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X,Y),multiply(inverse(multiply(Y,X_423)),X_423)),multiply(inverse(multiply(Y,X)),multiply(X,multiply(Y,multiply(inverse(multiply(Y,X_423)),X_423))))) ),[1,1,1],$fot(commutator(X_423,Y))]]) ).
cnf(refute_0_6900,plain,
( multiply(commutator(X,Y),multiply(inverse(multiply(Y,X_423)),X_423)) != multiply(inverse(multiply(Y,X)),multiply(X,multiply(Y,multiply(inverse(multiply(Y,X_423)),X_423))))
| multiply(commutator(X,Y),multiply(inverse(multiply(Y,X_423)),X_423)) = multiply(inverse(multiply(Y,X)),multiply(X,commutator(X_423,Y))) ),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(inverse(multiply(Y,X_423)),X_423)),commutator(X_423,Y)) )],[refute_0_6898,refute_0_6899]) ).
cnf(refute_0_6901,plain,
multiply(commutator(X,Y),multiply(inverse(multiply(Y,X_423)),X_423)) = multiply(inverse(multiply(Y,X)),multiply(X,commutator(X_423,Y))),
inference(resolve,[$cnf( $equal(multiply(commutator(X,Y),multiply(inverse(multiply(Y,X_423)),X_423)),multiply(inverse(multiply(Y,X)),multiply(X,multiply(Y,multiply(inverse(multiply(Y,X_423)),X_423))))) )],[refute_0_6895,refute_0_6900]) ).
cnf(refute_0_6902,plain,
( multiply(commutator(X,Y),multiply(inverse(multiply(Y,X_423)),X_423)) != multiply(inverse(multiply(Y,X)),multiply(X,commutator(X_423,Y)))
| multiply(inverse(multiply(Y,X)),multiply(X,commutator(X_423,Y))) = multiply(commutator(X,Y),multiply(inverse(multiply(Y,X_423)),X_423)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(commutator(X,Y),multiply(inverse(multiply(Y,X_423)),X_423)))),bind(Y0,$fot(multiply(inverse(multiply(Y,X)),multiply(X,commutator(X_423,Y)))))]]) ).
cnf(refute_0_6903,plain,
multiply(inverse(multiply(Y,X)),multiply(X,commutator(X_423,Y))) = multiply(commutator(X,Y),multiply(inverse(multiply(Y,X_423)),X_423)),
inference(resolve,[$cnf( $equal(multiply(commutator(X,Y),multiply(inverse(multiply(Y,X_423)),X_423)),multiply(inverse(multiply(Y,X)),multiply(X,commutator(X_423,Y)))) )],[refute_0_6901,refute_0_6902]) ).
cnf(refute_0_6904,plain,
multiply(inverse(multiply(X_432,X_16)),multiply(X_16,commutator(X_16,X_432))) = multiply(commutator(X_16,X_432),multiply(inverse(multiply(X_432,X_16)),X_16)),
inference(subst,[],[refute_0_6903:[bind(X,$fot(X_16)),bind(Y,$fot(X_432)),bind(X_423,$fot(X_16))]]) ).
cnf(refute_0_6905,plain,
multiply(multiply(inverse(multiply(X_432,X_16)),X_16),commutator(X_16,X_432)) = multiply(inverse(multiply(X_432,X_16)),multiply(X_16,commutator(X_16,X_432))),
inference(subst,[],[associativity:[bind(X,$fot(inverse(multiply(X_432,X_16)))),bind(Y,$fot(X_16)),bind(Z,$fot(commutator(X_16,X_432)))]]) ).
cnf(refute_0_6906,plain,
( multiply(multiply(inverse(multiply(X_432,X_16)),X_16),commutator(X_16,X_432)) != multiply(inverse(multiply(X_432,X_16)),multiply(X_16,commutator(X_16,X_432)))
| multiply(inverse(multiply(X_432,X_16)),multiply(X_16,commutator(X_16,X_432))) != multiply(commutator(X_16,X_432),multiply(inverse(multiply(X_432,X_16)),X_16))
| multiply(multiply(inverse(multiply(X_432,X_16)),X_16),commutator(X_16,X_432)) = multiply(commutator(X_16,X_432),multiply(inverse(multiply(X_432,X_16)),X_16)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(inverse(multiply(X_432,X_16)),X_16),commutator(X_16,X_432)))),bind(Y0,$fot(multiply(inverse(multiply(X_432,X_16)),multiply(X_16,commutator(X_16,X_432))))),bind(Z0,$fot(multiply(commutator(X_16,X_432),multiply(inverse(multiply(X_432,X_16)),X_16))))]]) ).
cnf(refute_0_6907,plain,
( multiply(inverse(multiply(X_432,X_16)),multiply(X_16,commutator(X_16,X_432))) != multiply(commutator(X_16,X_432),multiply(inverse(multiply(X_432,X_16)),X_16))
| multiply(multiply(inverse(multiply(X_432,X_16)),X_16),commutator(X_16,X_432)) = multiply(commutator(X_16,X_432),multiply(inverse(multiply(X_432,X_16)),X_16)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(X_432,X_16)),X_16),commutator(X_16,X_432)),multiply(inverse(multiply(X_432,X_16)),multiply(X_16,commutator(X_16,X_432)))) )],[refute_0_6905,refute_0_6906]) ).
cnf(refute_0_6908,plain,
multiply(multiply(inverse(multiply(X_432,X_16)),X_16),commutator(X_16,X_432)) = multiply(commutator(X_16,X_432),multiply(inverse(multiply(X_432,X_16)),X_16)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_432,X_16)),multiply(X_16,commutator(X_16,X_432))),multiply(commutator(X_16,X_432),multiply(inverse(multiply(X_432,X_16)),X_16))) )],[refute_0_6904,refute_0_6907]) ).
cnf(refute_0_6909,plain,
commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),commutator(X_16,X_432))) = commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),commutator(X_16,X_432))),
introduced(tautology,[refl,[$fot(commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),commutator(X_16,X_432))))]]) ).
cnf(refute_0_6910,plain,
( multiply(multiply(inverse(multiply(X_432,X_16)),X_16),commutator(X_16,X_432)) != multiply(commutator(X_16,X_432),multiply(inverse(multiply(X_432,X_16)),X_16))
| commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),commutator(X_16,X_432))) != commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),commutator(X_16,X_432)))
| commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),commutator(X_16,X_432))) = commutator(X_432,multiply(commutator(X_16,X_432),multiply(inverse(multiply(X_432,X_16)),X_16))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),commutator(X_16,X_432))),commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),commutator(X_16,X_432)))) ),[1,1],$fot(multiply(commutator(X_16,X_432),multiply(inverse(multiply(X_432,X_16)),X_16)))]]) ).
cnf(refute_0_6911,plain,
( multiply(multiply(inverse(multiply(X_432,X_16)),X_16),commutator(X_16,X_432)) != multiply(commutator(X_16,X_432),multiply(inverse(multiply(X_432,X_16)),X_16))
| commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),commutator(X_16,X_432))) = commutator(X_432,multiply(commutator(X_16,X_432),multiply(inverse(multiply(X_432,X_16)),X_16))) ),
inference(resolve,[$cnf( $equal(commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),commutator(X_16,X_432))),commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),commutator(X_16,X_432)))) )],[refute_0_6909,refute_0_6910]) ).
cnf(refute_0_6912,plain,
commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),commutator(X_16,X_432))) = commutator(X_432,multiply(commutator(X_16,X_432),multiply(inverse(multiply(X_432,X_16)),X_16))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(X_432,X_16)),X_16),commutator(X_16,X_432)),multiply(commutator(X_16,X_432),multiply(inverse(multiply(X_432,X_16)),X_16))) )],[refute_0_6908,refute_0_6911]) ).
cnf(refute_0_6913,plain,
( commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),commutator(X_16,X_432))) != commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),multiply(inverse(multiply(X_432,X_16)),X_16)))
| commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),commutator(X_16,X_432))) != commutator(X_432,multiply(commutator(X_16,X_432),multiply(inverse(multiply(X_432,X_16)),X_16)))
| commutator(X_432,multiply(commutator(X_16,X_432),multiply(inverse(multiply(X_432,X_16)),X_16))) = commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),multiply(inverse(multiply(X_432,X_16)),X_16))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),commutator(X_16,X_432))),commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),multiply(inverse(multiply(X_432,X_16)),X_16)))) ),[0],$fot(commutator(X_432,multiply(commutator(X_16,X_432),multiply(inverse(multiply(X_432,X_16)),X_16))))]]) ).
cnf(refute_0_6914,plain,
( commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),commutator(X_16,X_432))) != commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),multiply(inverse(multiply(X_432,X_16)),X_16)))
| commutator(X_432,multiply(commutator(X_16,X_432),multiply(inverse(multiply(X_432,X_16)),X_16))) = commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),multiply(inverse(multiply(X_432,X_16)),X_16))) ),
inference(resolve,[$cnf( $equal(commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),commutator(X_16,X_432))),commutator(X_432,multiply(commutator(X_16,X_432),multiply(inverse(multiply(X_432,X_16)),X_16)))) )],[refute_0_6912,refute_0_6913]) ).
cnf(refute_0_6915,plain,
multiply(commutator(X_432,X_16),commutator(X_16,X_432)) = identity,
inference(subst,[],[refute_0_3204:[bind(X_65,$fot(X_16)),bind(X_66,$fot(X_432))]]) ).
cnf(refute_0_6916,plain,
commutator(X_432,multiply(X_16,X_432)) = commutator(X_432,X_16),
inference(subst,[],[refute_0_4212:[bind(X_10,$fot(X_16)),bind(X_84,$fot(X_432))]]) ).
cnf(refute_0_6917,plain,
multiply(commutator(X_432,multiply(X_16,X_432)),commutator(X_16,X_432)) = multiply(commutator(X_432,multiply(X_16,X_432)),commutator(X_16,X_432)),
introduced(tautology,[refl,[$fot(multiply(commutator(X_432,multiply(X_16,X_432)),commutator(X_16,X_432)))]]) ).
cnf(refute_0_6918,plain,
( multiply(commutator(X_432,multiply(X_16,X_432)),commutator(X_16,X_432)) != multiply(commutator(X_432,multiply(X_16,X_432)),commutator(X_16,X_432))
| commutator(X_432,multiply(X_16,X_432)) != commutator(X_432,X_16)
| multiply(commutator(X_432,multiply(X_16,X_432)),commutator(X_16,X_432)) = multiply(commutator(X_432,X_16),commutator(X_16,X_432)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_432,multiply(X_16,X_432)),commutator(X_16,X_432)),multiply(commutator(X_432,multiply(X_16,X_432)),commutator(X_16,X_432))) ),[1,0],$fot(commutator(X_432,X_16))]]) ).
cnf(refute_0_6919,plain,
( commutator(X_432,multiply(X_16,X_432)) != commutator(X_432,X_16)
| multiply(commutator(X_432,multiply(X_16,X_432)),commutator(X_16,X_432)) = multiply(commutator(X_432,X_16),commutator(X_16,X_432)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_432,multiply(X_16,X_432)),commutator(X_16,X_432)),multiply(commutator(X_432,multiply(X_16,X_432)),commutator(X_16,X_432))) )],[refute_0_6917,refute_0_6918]) ).
cnf(refute_0_6920,plain,
multiply(commutator(X_432,multiply(X_16,X_432)),commutator(X_16,X_432)) = multiply(commutator(X_432,X_16),commutator(X_16,X_432)),
inference(resolve,[$cnf( $equal(commutator(X_432,multiply(X_16,X_432)),commutator(X_432,X_16)) )],[refute_0_6916,refute_0_6919]) ).
cnf(refute_0_6921,plain,
( multiply(commutator(X_432,X_16),commutator(X_16,X_432)) != identity
| multiply(commutator(X_432,multiply(X_16,X_432)),commutator(X_16,X_432)) != multiply(commutator(X_432,X_16),commutator(X_16,X_432))
| multiply(commutator(X_432,multiply(X_16,X_432)),commutator(X_16,X_432)) = identity ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_432,multiply(X_16,X_432)),commutator(X_16,X_432)))),bind(Y0,$fot(multiply(commutator(X_432,X_16),commutator(X_16,X_432)))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_6922,plain,
( multiply(commutator(X_432,X_16),commutator(X_16,X_432)) != identity
| multiply(commutator(X_432,multiply(X_16,X_432)),commutator(X_16,X_432)) = identity ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_432,multiply(X_16,X_432)),commutator(X_16,X_432)),multiply(commutator(X_432,X_16),commutator(X_16,X_432))) )],[refute_0_6920,refute_0_6921]) ).
cnf(refute_0_6923,plain,
multiply(commutator(X_432,multiply(X_16,X_432)),commutator(X_16,X_432)) = identity,
inference(resolve,[$cnf( $equal(multiply(commutator(X_432,X_16),commutator(X_16,X_432)),identity) )],[refute_0_6915,refute_0_6922]) ).
cnf(refute_0_6924,plain,
commutator(multiply(X_9,X_10),multiply(inverse(multiply(X_10,X_423)),X_423)) = multiply(inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))),multiply(X_9,multiply(X_10,multiply(inverse(multiply(X_10,X_423)),X_423)))),
inference(subst,[],[refute_0_713:[bind(Y,$fot(multiply(inverse(multiply(X_10,X_423)),X_423)))]]) ).
cnf(refute_0_6925,plain,
commutator(X_423,X_10) = multiply(X_10,multiply(inverse(multiply(X_10,X_423)),X_423)),
inference(subst,[],[refute_0_1905:[bind(X_15,$fot(X_10)),bind(X_16,$fot(X_423))]]) ).
cnf(refute_0_6926,plain,
( commutator(X_423,X_10) != multiply(X_10,multiply(inverse(multiply(X_10,X_423)),X_423))
| multiply(X_10,multiply(inverse(multiply(X_10,X_423)),X_423)) = commutator(X_423,X_10) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_423,X_10))),bind(Y0,$fot(multiply(X_10,multiply(inverse(multiply(X_10,X_423)),X_423))))]]) ).
cnf(refute_0_6927,plain,
multiply(X_10,multiply(inverse(multiply(X_10,X_423)),X_423)) = commutator(X_423,X_10),
inference(resolve,[$cnf( $equal(commutator(X_423,X_10),multiply(X_10,multiply(inverse(multiply(X_10,X_423)),X_423))) )],[refute_0_6925,refute_0_6926]) ).
cnf(refute_0_6928,plain,
( multiply(X_10,multiply(inverse(multiply(X_10,X_423)),X_423)) != commutator(X_423,X_10)
| commutator(multiply(X_9,X_10),multiply(inverse(multiply(X_10,X_423)),X_423)) != multiply(inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))),multiply(X_9,multiply(X_10,multiply(inverse(multiply(X_10,X_423)),X_423))))
| commutator(multiply(X_9,X_10),multiply(inverse(multiply(X_10,X_423)),X_423)) = multiply(inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))),multiply(X_9,commutator(X_423,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_9,X_10),multiply(inverse(multiply(X_10,X_423)),X_423)),multiply(inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))),multiply(X_9,multiply(X_10,multiply(inverse(multiply(X_10,X_423)),X_423))))) ),[1,1,1],$fot(commutator(X_423,X_10))]]) ).
cnf(refute_0_6929,plain,
( commutator(multiply(X_9,X_10),multiply(inverse(multiply(X_10,X_423)),X_423)) != multiply(inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))),multiply(X_9,multiply(X_10,multiply(inverse(multiply(X_10,X_423)),X_423))))
| commutator(multiply(X_9,X_10),multiply(inverse(multiply(X_10,X_423)),X_423)) = multiply(inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))),multiply(X_9,commutator(X_423,X_10))) ),
inference(resolve,[$cnf( $equal(multiply(X_10,multiply(inverse(multiply(X_10,X_423)),X_423)),commutator(X_423,X_10)) )],[refute_0_6927,refute_0_6928]) ).
cnf(refute_0_6930,plain,
commutator(multiply(X_9,X_10),multiply(inverse(multiply(X_10,X_423)),X_423)) = multiply(inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))),multiply(X_9,commutator(X_423,X_10))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_9,X_10),multiply(inverse(multiply(X_10,X_423)),X_423)),multiply(inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))),multiply(X_9,multiply(X_10,multiply(inverse(multiply(X_10,X_423)),X_423))))) )],[refute_0_6924,refute_0_6929]) ).
cnf(refute_0_6931,plain,
multiply(commutator(X_255,multiply(X,Y)),X_257) = multiply(inverse(multiply(multiply(X,Y),X_255)),multiply(X_255,multiply(multiply(X,Y),X_257))),
inference(subst,[],[refute_0_246:[bind(X,$fot(X_255)),bind(Y,$fot(multiply(X,Y))),bind(X_11,$fot(X_257))]]) ).
cnf(refute_0_6932,plain,
multiply(multiply(X,Y),X_257) = multiply(X,multiply(Y,X_257)),
inference(subst,[],[associativity:[bind(Z,$fot(X_257))]]) ).
cnf(refute_0_6933,plain,
( multiply(multiply(X,Y),X_257) != multiply(X,multiply(Y,X_257))
| multiply(commutator(X_255,multiply(X,Y)),X_257) != multiply(inverse(multiply(multiply(X,Y),X_255)),multiply(X_255,multiply(multiply(X,Y),X_257)))
| multiply(commutator(X_255,multiply(X,Y)),X_257) = multiply(inverse(multiply(multiply(X,Y),X_255)),multiply(X_255,multiply(X,multiply(Y,X_257)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_255,multiply(X,Y)),X_257),multiply(inverse(multiply(multiply(X,Y),X_255)),multiply(X_255,multiply(multiply(X,Y),X_257)))) ),[1,1,1],$fot(multiply(X,multiply(Y,X_257)))]]) ).
cnf(refute_0_6934,plain,
( multiply(commutator(X_255,multiply(X,Y)),X_257) != multiply(inverse(multiply(multiply(X,Y),X_255)),multiply(X_255,multiply(multiply(X,Y),X_257)))
| multiply(commutator(X_255,multiply(X,Y)),X_257) = multiply(inverse(multiply(multiply(X,Y),X_255)),multiply(X_255,multiply(X,multiply(Y,X_257)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),X_257),multiply(X,multiply(Y,X_257))) )],[refute_0_6932,refute_0_6933]) ).
cnf(refute_0_6935,plain,
multiply(commutator(X_255,multiply(X,Y)),X_257) = multiply(inverse(multiply(multiply(X,Y),X_255)),multiply(X_255,multiply(X,multiply(Y,X_257)))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,multiply(X,Y)),X_257),multiply(inverse(multiply(multiply(X,Y),X_255)),multiply(X_255,multiply(multiply(X,Y),X_257)))) )],[refute_0_6931,refute_0_6934]) ).
cnf(refute_0_6936,plain,
multiply(multiply(X,Y),X_255) = multiply(X,multiply(Y,X_255)),
inference(subst,[],[associativity:[bind(Z,$fot(X_255))]]) ).
cnf(refute_0_6937,plain,
inverse(multiply(multiply(X,Y),X_255)) = inverse(multiply(multiply(X,Y),X_255)),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X,Y),X_255)))]]) ).
cnf(refute_0_6938,plain,
( multiply(multiply(X,Y),X_255) != multiply(X,multiply(Y,X_255))
| inverse(multiply(multiply(X,Y),X_255)) != inverse(multiply(multiply(X,Y),X_255))
| inverse(multiply(multiply(X,Y),X_255)) = inverse(multiply(X,multiply(Y,X_255))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X,Y),X_255)),inverse(multiply(multiply(X,Y),X_255))) ),[1,0],$fot(multiply(X,multiply(Y,X_255)))]]) ).
cnf(refute_0_6939,plain,
( multiply(multiply(X,Y),X_255) != multiply(X,multiply(Y,X_255))
| inverse(multiply(multiply(X,Y),X_255)) = inverse(multiply(X,multiply(Y,X_255))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X,Y),X_255)),inverse(multiply(multiply(X,Y),X_255))) )],[refute_0_6937,refute_0_6938]) ).
cnf(refute_0_6940,plain,
inverse(multiply(multiply(X,Y),X_255)) = inverse(multiply(X,multiply(Y,X_255))),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),X_255),multiply(X,multiply(Y,X_255))) )],[refute_0_6936,refute_0_6939]) ).
cnf(refute_0_6941,plain,
multiply(inverse(multiply(multiply(X,Y),X_255)),multiply(X_255,multiply(X,multiply(Y,X_257)))) = multiply(inverse(multiply(multiply(X,Y),X_255)),multiply(X_255,multiply(X,multiply(Y,X_257)))),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(multiply(X,Y),X_255)),multiply(X_255,multiply(X,multiply(Y,X_257)))))]]) ).
cnf(refute_0_6942,plain,
( multiply(inverse(multiply(multiply(X,Y),X_255)),multiply(X_255,multiply(X,multiply(Y,X_257)))) != multiply(inverse(multiply(multiply(X,Y),X_255)),multiply(X_255,multiply(X,multiply(Y,X_257))))
| inverse(multiply(multiply(X,Y),X_255)) != inverse(multiply(X,multiply(Y,X_255)))
| multiply(inverse(multiply(multiply(X,Y),X_255)),multiply(X_255,multiply(X,multiply(Y,X_257)))) = multiply(inverse(multiply(X,multiply(Y,X_255))),multiply(X_255,multiply(X,multiply(Y,X_257)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(multiply(X,Y),X_255)),multiply(X_255,multiply(X,multiply(Y,X_257)))),multiply(inverse(multiply(multiply(X,Y),X_255)),multiply(X_255,multiply(X,multiply(Y,X_257))))) ),[1,0],$fot(inverse(multiply(X,multiply(Y,X_255))))]]) ).
cnf(refute_0_6943,plain,
( inverse(multiply(multiply(X,Y),X_255)) != inverse(multiply(X,multiply(Y,X_255)))
| multiply(inverse(multiply(multiply(X,Y),X_255)),multiply(X_255,multiply(X,multiply(Y,X_257)))) = multiply(inverse(multiply(X,multiply(Y,X_255))),multiply(X_255,multiply(X,multiply(Y,X_257)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X,Y),X_255)),multiply(X_255,multiply(X,multiply(Y,X_257)))),multiply(inverse(multiply(multiply(X,Y),X_255)),multiply(X_255,multiply(X,multiply(Y,X_257))))) )],[refute_0_6941,refute_0_6942]) ).
cnf(refute_0_6944,plain,
multiply(inverse(multiply(multiply(X,Y),X_255)),multiply(X_255,multiply(X,multiply(Y,X_257)))) = multiply(inverse(multiply(X,multiply(Y,X_255))),multiply(X_255,multiply(X,multiply(Y,X_257)))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X,Y),X_255)),inverse(multiply(X,multiply(Y,X_255)))) )],[refute_0_6940,refute_0_6943]) ).
cnf(refute_0_6945,plain,
( multiply(commutator(X_255,multiply(X,Y)),X_257) != multiply(inverse(multiply(multiply(X,Y),X_255)),multiply(X_255,multiply(X,multiply(Y,X_257))))
| multiply(inverse(multiply(multiply(X,Y),X_255)),multiply(X_255,multiply(X,multiply(Y,X_257)))) != multiply(inverse(multiply(X,multiply(Y,X_255))),multiply(X_255,multiply(X,multiply(Y,X_257))))
| multiply(commutator(X_255,multiply(X,Y)),X_257) = multiply(inverse(multiply(X,multiply(Y,X_255))),multiply(X_255,multiply(X,multiply(Y,X_257)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(commutator(X_255,multiply(X,Y)),X_257),multiply(inverse(multiply(X,multiply(Y,X_255))),multiply(X_255,multiply(X,multiply(Y,X_257))))) ),[0],$fot(multiply(inverse(multiply(multiply(X,Y),X_255)),multiply(X_255,multiply(X,multiply(Y,X_257)))))]]) ).
cnf(refute_0_6946,plain,
( multiply(commutator(X_255,multiply(X,Y)),X_257) != multiply(inverse(multiply(multiply(X,Y),X_255)),multiply(X_255,multiply(X,multiply(Y,X_257))))
| multiply(commutator(X_255,multiply(X,Y)),X_257) = multiply(inverse(multiply(X,multiply(Y,X_255))),multiply(X_255,multiply(X,multiply(Y,X_257)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X,Y),X_255)),multiply(X_255,multiply(X,multiply(Y,X_257)))),multiply(inverse(multiply(X,multiply(Y,X_255))),multiply(X_255,multiply(X,multiply(Y,X_257))))) )],[refute_0_6944,refute_0_6945]) ).
cnf(refute_0_6947,plain,
multiply(commutator(X_255,multiply(X,Y)),X_257) = multiply(inverse(multiply(X,multiply(Y,X_255))),multiply(X_255,multiply(X,multiply(Y,X_257)))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,multiply(X,Y)),X_257),multiply(inverse(multiply(multiply(X,Y),X_255)),multiply(X_255,multiply(X,multiply(Y,X_257))))) )],[refute_0_6935,refute_0_6946]) ).
cnf(refute_0_6948,plain,
( multiply(commutator(X_255,multiply(X,Y)),X_257) != multiply(inverse(multiply(X,multiply(Y,X_255))),multiply(X_255,multiply(X,multiply(Y,X_257))))
| multiply(inverse(multiply(X,multiply(Y,X_255))),multiply(X_255,multiply(X,multiply(Y,X_257)))) = multiply(commutator(X_255,multiply(X,Y)),X_257) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(commutator(X_255,multiply(X,Y)),X_257))),bind(Y0,$fot(multiply(inverse(multiply(X,multiply(Y,X_255))),multiply(X_255,multiply(X,multiply(Y,X_257))))))]]) ).
cnf(refute_0_6949,plain,
multiply(inverse(multiply(X,multiply(Y,X_255))),multiply(X_255,multiply(X,multiply(Y,X_257)))) = multiply(commutator(X_255,multiply(X,Y)),X_257),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,multiply(X,Y)),X_257),multiply(inverse(multiply(X,multiply(Y,X_255))),multiply(X_255,multiply(X,multiply(Y,X_257))))) )],[refute_0_6947,refute_0_6948]) ).
cnf(refute_0_6950,plain,
multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(X_10,multiply(X_423,multiply(X_9,commutator(X_423,X_10))))) = multiply(commutator(X_10,multiply(X_423,X_9)),commutator(X_423,X_10)),
inference(subst,[],[refute_0_6949:[bind(X,$fot(X_423)),bind(Y,$fot(X_9)),bind(X_255,$fot(X_10)),bind(X_257,$fot(commutator(X_423,X_10)))]]) ).
cnf(refute_0_6951,plain,
multiply(multiply(X_10,X_423),multiply(X_9,commutator(X_423,X_10))) = multiply(X_10,multiply(X_423,multiply(X_9,commutator(X_423,X_10)))),
inference(subst,[],[associativity:[bind(X,$fot(X_10)),bind(Y,$fot(X_423)),bind(Z,$fot(multiply(X_9,commutator(X_423,X_10))))]]) ).
cnf(refute_0_6952,plain,
multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(multiply(X_10,X_423),multiply(X_9,commutator(X_423,X_10)))) = multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(multiply(X_10,X_423),multiply(X_9,commutator(X_423,X_10)))),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(multiply(X_10,X_423),multiply(X_9,commutator(X_423,X_10)))))]]) ).
cnf(refute_0_6953,plain,
( multiply(multiply(X_10,X_423),multiply(X_9,commutator(X_423,X_10))) != multiply(X_10,multiply(X_423,multiply(X_9,commutator(X_423,X_10))))
| multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(multiply(X_10,X_423),multiply(X_9,commutator(X_423,X_10)))) != multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(multiply(X_10,X_423),multiply(X_9,commutator(X_423,X_10))))
| multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(multiply(X_10,X_423),multiply(X_9,commutator(X_423,X_10)))) = multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(X_10,multiply(X_423,multiply(X_9,commutator(X_423,X_10))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(multiply(X_10,X_423),multiply(X_9,commutator(X_423,X_10)))),multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(multiply(X_10,X_423),multiply(X_9,commutator(X_423,X_10))))) ),[1,1],$fot(multiply(X_10,multiply(X_423,multiply(X_9,commutator(X_423,X_10)))))]]) ).
cnf(refute_0_6954,plain,
( multiply(multiply(X_10,X_423),multiply(X_9,commutator(X_423,X_10))) != multiply(X_10,multiply(X_423,multiply(X_9,commutator(X_423,X_10))))
| multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(multiply(X_10,X_423),multiply(X_9,commutator(X_423,X_10)))) = multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(X_10,multiply(X_423,multiply(X_9,commutator(X_423,X_10))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(multiply(X_10,X_423),multiply(X_9,commutator(X_423,X_10)))),multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(multiply(X_10,X_423),multiply(X_9,commutator(X_423,X_10))))) )],[refute_0_6952,refute_0_6953]) ).
cnf(refute_0_6955,plain,
multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(multiply(X_10,X_423),multiply(X_9,commutator(X_423,X_10)))) = multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(X_10,multiply(X_423,multiply(X_9,commutator(X_423,X_10))))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_10,X_423),multiply(X_9,commutator(X_423,X_10))),multiply(X_10,multiply(X_423,multiply(X_9,commutator(X_423,X_10))))) )],[refute_0_6951,refute_0_6954]) ).
cnf(refute_0_6956,plain,
( multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(X_10,multiply(X_423,multiply(X_9,commutator(X_423,X_10))))) != multiply(commutator(X_10,multiply(X_423,X_9)),commutator(X_423,X_10))
| multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(multiply(X_10,X_423),multiply(X_9,commutator(X_423,X_10)))) != multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(X_10,multiply(X_423,multiply(X_9,commutator(X_423,X_10)))))
| multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(multiply(X_10,X_423),multiply(X_9,commutator(X_423,X_10)))) = multiply(commutator(X_10,multiply(X_423,X_9)),commutator(X_423,X_10)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(multiply(X_10,X_423),multiply(X_9,commutator(X_423,X_10)))))),bind(Y0,$fot(multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(X_10,multiply(X_423,multiply(X_9,commutator(X_423,X_10))))))),bind(Z0,$fot(multiply(commutator(X_10,multiply(X_423,X_9)),commutator(X_423,X_10))))]]) ).
cnf(refute_0_6957,plain,
( multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(X_10,multiply(X_423,multiply(X_9,commutator(X_423,X_10))))) != multiply(commutator(X_10,multiply(X_423,X_9)),commutator(X_423,X_10))
| multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(multiply(X_10,X_423),multiply(X_9,commutator(X_423,X_10)))) = multiply(commutator(X_10,multiply(X_423,X_9)),commutator(X_423,X_10)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(multiply(X_10,X_423),multiply(X_9,commutator(X_423,X_10)))),multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(X_10,multiply(X_423,multiply(X_9,commutator(X_423,X_10)))))) )],[refute_0_6955,refute_0_6956]) ).
cnf(refute_0_6958,plain,
multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(multiply(X_10,X_423),multiply(X_9,commutator(X_423,X_10)))) = multiply(commutator(X_10,multiply(X_423,X_9)),commutator(X_423,X_10)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(X_10,multiply(X_423,multiply(X_9,commutator(X_423,X_10))))),multiply(commutator(X_10,multiply(X_423,X_9)),commutator(X_423,X_10))) )],[refute_0_6950,refute_0_6957]) ).
cnf(refute_0_6959,plain,
multiply(multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(X_10,X_423)),multiply(X_9,commutator(X_423,X_10))) = multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(multiply(X_10,X_423),multiply(X_9,commutator(X_423,X_10)))),
inference(subst,[],[associativity:[bind(X,$fot(inverse(multiply(X_423,multiply(X_9,X_10))))),bind(Y,$fot(multiply(X_10,X_423))),bind(Z,$fot(multiply(X_9,commutator(X_423,X_10))))]]) ).
cnf(refute_0_6960,plain,
( multiply(multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(X_10,X_423)),multiply(X_9,commutator(X_423,X_10))) != multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(multiply(X_10,X_423),multiply(X_9,commutator(X_423,X_10))))
| multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(multiply(X_10,X_423),multiply(X_9,commutator(X_423,X_10)))) != multiply(commutator(X_10,multiply(X_423,X_9)),commutator(X_423,X_10))
| multiply(multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(X_10,X_423)),multiply(X_9,commutator(X_423,X_10))) = multiply(commutator(X_10,multiply(X_423,X_9)),commutator(X_423,X_10)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(X_10,X_423)),multiply(X_9,commutator(X_423,X_10))))),bind(Y0,$fot(multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(multiply(X_10,X_423),multiply(X_9,commutator(X_423,X_10)))))),bind(Z0,$fot(multiply(commutator(X_10,multiply(X_423,X_9)),commutator(X_423,X_10))))]]) ).
cnf(refute_0_6961,plain,
( multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(multiply(X_10,X_423),multiply(X_9,commutator(X_423,X_10)))) != multiply(commutator(X_10,multiply(X_423,X_9)),commutator(X_423,X_10))
| multiply(multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(X_10,X_423)),multiply(X_9,commutator(X_423,X_10))) = multiply(commutator(X_10,multiply(X_423,X_9)),commutator(X_423,X_10)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(X_10,X_423)),multiply(X_9,commutator(X_423,X_10))),multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(multiply(X_10,X_423),multiply(X_9,commutator(X_423,X_10))))) )],[refute_0_6959,refute_0_6960]) ).
cnf(refute_0_6962,plain,
multiply(multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(X_10,X_423)),multiply(X_9,commutator(X_423,X_10))) = multiply(commutator(X_10,multiply(X_423,X_9)),commutator(X_423,X_10)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(multiply(X_10,X_423),multiply(X_9,commutator(X_423,X_10)))),multiply(commutator(X_10,multiply(X_423,X_9)),commutator(X_423,X_10))) )],[refute_0_6958,refute_0_6961]) ).
cnf(refute_0_6963,plain,
inverse(multiply(inverse(multiply(X_10,X_423)),multiply(X_423,multiply(X_9,X_10)))) = multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(X_10,X_423)),
inference(subst,[],[refute_0_294:[bind(Z,$fot(multiply(X_423,multiply(X_9,X_10)))),bind(X_61,$fot(multiply(X_10,X_423)))]]) ).
cnf(refute_0_6964,plain,
multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10)) = multiply(inverse(multiply(X_10,X_423)),multiply(X_423,multiply(X_9,X_10))),
inference(subst,[],[associativity:[bind(X,$fot(inverse(multiply(X_10,X_423)))),bind(Y,$fot(X_423)),bind(Z,$fot(multiply(X_9,X_10)))]]) ).
cnf(refute_0_6965,plain,
inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))) = inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))))]]) ).
cnf(refute_0_6966,plain,
( multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10)) != multiply(inverse(multiply(X_10,X_423)),multiply(X_423,multiply(X_9,X_10)))
| inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))) != inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10)))
| inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))) = inverse(multiply(inverse(multiply(X_10,X_423)),multiply(X_423,multiply(X_9,X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))),inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10)))) ),[1,0],$fot(multiply(inverse(multiply(X_10,X_423)),multiply(X_423,multiply(X_9,X_10))))]]) ).
cnf(refute_0_6967,plain,
( multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10)) != multiply(inverse(multiply(X_10,X_423)),multiply(X_423,multiply(X_9,X_10)))
| inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))) = inverse(multiply(inverse(multiply(X_10,X_423)),multiply(X_423,multiply(X_9,X_10)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))),inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10)))) )],[refute_0_6965,refute_0_6966]) ).
cnf(refute_0_6968,plain,
inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))) = inverse(multiply(inverse(multiply(X_10,X_423)),multiply(X_423,multiply(X_9,X_10)))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10)),multiply(inverse(multiply(X_10,X_423)),multiply(X_423,multiply(X_9,X_10)))) )],[refute_0_6964,refute_0_6967]) ).
cnf(refute_0_6969,plain,
( inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))) != inverse(multiply(inverse(multiply(X_10,X_423)),multiply(X_423,multiply(X_9,X_10))))
| inverse(multiply(inverse(multiply(X_10,X_423)),multiply(X_423,multiply(X_9,X_10)))) != multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(X_10,X_423))
| inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))) = multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(X_10,X_423)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))))),bind(Y0,$fot(inverse(multiply(inverse(multiply(X_10,X_423)),multiply(X_423,multiply(X_9,X_10)))))),bind(Z0,$fot(multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(X_10,X_423))))]]) ).
cnf(refute_0_6970,plain,
( inverse(multiply(inverse(multiply(X_10,X_423)),multiply(X_423,multiply(X_9,X_10)))) != multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(X_10,X_423))
| inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))) = multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(X_10,X_423)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))),inverse(multiply(inverse(multiply(X_10,X_423)),multiply(X_423,multiply(X_9,X_10))))) )],[refute_0_6968,refute_0_6969]) ).
cnf(refute_0_6971,plain,
inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))) = multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(X_10,X_423)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(X_10,X_423)),multiply(X_423,multiply(X_9,X_10)))),multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(X_10,X_423))) )],[refute_0_6963,refute_0_6970]) ).
cnf(refute_0_6972,plain,
multiply(inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))),multiply(X_9,commutator(X_423,X_10))) = multiply(inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))),multiply(X_9,commutator(X_423,X_10))),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))),multiply(X_9,commutator(X_423,X_10))))]]) ).
cnf(refute_0_6973,plain,
( multiply(inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))),multiply(X_9,commutator(X_423,X_10))) != multiply(inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))),multiply(X_9,commutator(X_423,X_10)))
| inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))) != multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(X_10,X_423))
| multiply(inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))),multiply(X_9,commutator(X_423,X_10))) = multiply(multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(X_10,X_423)),multiply(X_9,commutator(X_423,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))),multiply(X_9,commutator(X_423,X_10))),multiply(inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))),multiply(X_9,commutator(X_423,X_10)))) ),[1,0],$fot(multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(X_10,X_423)))]]) ).
cnf(refute_0_6974,plain,
( inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))) != multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(X_10,X_423))
| multiply(inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))),multiply(X_9,commutator(X_423,X_10))) = multiply(multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(X_10,X_423)),multiply(X_9,commutator(X_423,X_10))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))),multiply(X_9,commutator(X_423,X_10))),multiply(inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))),multiply(X_9,commutator(X_423,X_10)))) )],[refute_0_6972,refute_0_6973]) ).
cnf(refute_0_6975,plain,
multiply(inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))),multiply(X_9,commutator(X_423,X_10))) = multiply(multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(X_10,X_423)),multiply(X_9,commutator(X_423,X_10))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))),multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(X_10,X_423))) )],[refute_0_6971,refute_0_6974]) ).
cnf(refute_0_6976,plain,
( multiply(multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(X_10,X_423)),multiply(X_9,commutator(X_423,X_10))) != multiply(commutator(X_10,multiply(X_423,X_9)),commutator(X_423,X_10))
| multiply(inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))),multiply(X_9,commutator(X_423,X_10))) != multiply(multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(X_10,X_423)),multiply(X_9,commutator(X_423,X_10)))
| multiply(inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))),multiply(X_9,commutator(X_423,X_10))) = multiply(commutator(X_10,multiply(X_423,X_9)),commutator(X_423,X_10)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))),multiply(X_9,commutator(X_423,X_10))))),bind(Y0,$fot(multiply(multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(X_10,X_423)),multiply(X_9,commutator(X_423,X_10))))),bind(Z0,$fot(multiply(commutator(X_10,multiply(X_423,X_9)),commutator(X_423,X_10))))]]) ).
cnf(refute_0_6977,plain,
( multiply(multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(X_10,X_423)),multiply(X_9,commutator(X_423,X_10))) != multiply(commutator(X_10,multiply(X_423,X_9)),commutator(X_423,X_10))
| multiply(inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))),multiply(X_9,commutator(X_423,X_10))) = multiply(commutator(X_10,multiply(X_423,X_9)),commutator(X_423,X_10)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))),multiply(X_9,commutator(X_423,X_10))),multiply(multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(X_10,X_423)),multiply(X_9,commutator(X_423,X_10)))) )],[refute_0_6975,refute_0_6976]) ).
cnf(refute_0_6978,plain,
multiply(inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))),multiply(X_9,commutator(X_423,X_10))) = multiply(commutator(X_10,multiply(X_423,X_9)),commutator(X_423,X_10)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(X_423,multiply(X_9,X_10))),multiply(X_10,X_423)),multiply(X_9,commutator(X_423,X_10))),multiply(commutator(X_10,multiply(X_423,X_9)),commutator(X_423,X_10))) )],[refute_0_6962,refute_0_6977]) ).
cnf(refute_0_6979,plain,
( multiply(inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))),multiply(X_9,commutator(X_423,X_10))) != multiply(commutator(X_10,multiply(X_423,X_9)),commutator(X_423,X_10))
| commutator(multiply(X_9,X_10),multiply(inverse(multiply(X_10,X_423)),X_423)) != multiply(inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))),multiply(X_9,commutator(X_423,X_10)))
| commutator(multiply(X_9,X_10),multiply(inverse(multiply(X_10,X_423)),X_423)) = multiply(commutator(X_10,multiply(X_423,X_9)),commutator(X_423,X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_9,X_10),multiply(inverse(multiply(X_10,X_423)),X_423)),multiply(inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))),multiply(X_9,commutator(X_423,X_10)))) ),[1],$fot(multiply(commutator(X_10,multiply(X_423,X_9)),commutator(X_423,X_10)))]]) ).
cnf(refute_0_6980,plain,
( commutator(multiply(X_9,X_10),multiply(inverse(multiply(X_10,X_423)),X_423)) != multiply(inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))),multiply(X_9,commutator(X_423,X_10)))
| commutator(multiply(X_9,X_10),multiply(inverse(multiply(X_10,X_423)),X_423)) = multiply(commutator(X_10,multiply(X_423,X_9)),commutator(X_423,X_10)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))),multiply(X_9,commutator(X_423,X_10))),multiply(commutator(X_10,multiply(X_423,X_9)),commutator(X_423,X_10))) )],[refute_0_6978,refute_0_6979]) ).
cnf(refute_0_6981,plain,
commutator(multiply(X_9,X_10),multiply(inverse(multiply(X_10,X_423)),X_423)) = multiply(commutator(X_10,multiply(X_423,X_9)),commutator(X_423,X_10)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_9,X_10),multiply(inverse(multiply(X_10,X_423)),X_423)),multiply(inverse(multiply(multiply(inverse(multiply(X_10,X_423)),X_423),multiply(X_9,X_10))),multiply(X_9,commutator(X_423,X_10)))) )],[refute_0_6930,refute_0_6980]) ).
cnf(refute_0_6982,plain,
commutator(multiply(X_432,X_432),multiply(inverse(multiply(X_432,X_16)),X_16)) = multiply(commutator(X_432,multiply(X_16,X_432)),commutator(X_16,X_432)),
inference(subst,[],[refute_0_6981:[bind(X_10,$fot(X_432)),bind(X_423,$fot(X_16)),bind(X_9,$fot(X_432))]]) ).
cnf(refute_0_6983,plain,
multiply(inverse(X_10),inverse(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),inverse(X_10)))))) = commutator(multiply(inverse(X_10),inverse(X_10)),multiply(X_10,X_161)),
inference(subst,[],[refute_0_4807:[bind(Z,$fot(multiply(X_10,X_161))),bind(X_136,$fot(inverse(X_10)))]]) ).
cnf(refute_0_6984,plain,
commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)) = commutator(multiply(X_10,X_161),multiply(inverse(X_10),inverse(X_10))),
inference(subst,[],[refute_0_1692:[bind(X_162,$fot(inverse(X_10)))]]) ).
cnf(refute_0_6985,plain,
( commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)) != commutator(multiply(X_10,X_161),multiply(inverse(X_10),inverse(X_10)))
| commutator(multiply(X_10,X_161),multiply(inverse(X_10),inverse(X_10))) = commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)))),bind(Y0,$fot(commutator(multiply(X_10,X_161),multiply(inverse(X_10),inverse(X_10)))))]]) ).
cnf(refute_0_6986,plain,
commutator(multiply(X_10,X_161),multiply(inverse(X_10),inverse(X_10))) = commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),commutator(multiply(X_10,X_161),multiply(inverse(X_10),inverse(X_10)))) )],[refute_0_6984,refute_0_6985]) ).
cnf(refute_0_6987,plain,
( multiply(inverse(X_10),inverse(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),inverse(X_10)))))) != commutator(multiply(inverse(X_10),inverse(X_10)),multiply(X_10,X_161))
| commutator(multiply(X_10,X_161),multiply(inverse(X_10),inverse(X_10))) != commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))
| multiply(inverse(X_10),inverse(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))))) = commutator(multiply(inverse(X_10),inverse(X_10)),multiply(X_10,X_161)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_10),inverse(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),inverse(X_10)))))),commutator(multiply(inverse(X_10),inverse(X_10)),multiply(X_10,X_161))) ),[0,1,0,1],$fot(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)))]]) ).
cnf(refute_0_6988,plain,
( multiply(inverse(X_10),inverse(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),inverse(X_10)))))) != commutator(multiply(inverse(X_10),inverse(X_10)),multiply(X_10,X_161))
| multiply(inverse(X_10),inverse(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))))) = commutator(multiply(inverse(X_10),inverse(X_10)),multiply(X_10,X_161)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_10,X_161),multiply(inverse(X_10),inverse(X_10))),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))) )],[refute_0_6986,refute_0_6987]) ).
cnf(refute_0_6989,plain,
multiply(inverse(X_10),inverse(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))))) = commutator(multiply(inverse(X_10),inverse(X_10)),multiply(X_10,X_161)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),inverse(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),inverse(X_10)))))),commutator(multiply(inverse(X_10),inverse(X_10)),multiply(X_10,X_161))) )],[refute_0_6983,refute_0_6988]) ).
cnf(refute_0_6990,plain,
inverse(commutator(X_10,multiply(X_161,X_161))) = commutator(multiply(X_161,X_161),X_10),
inference(subst,[],[refute_0_386:[bind(X,$fot(multiply(X_161,X_161))),bind(Y,$fot(X_10))]]) ).
cnf(refute_0_6991,plain,
multiply(inverse(X_10),multiply(X_10,commutator(X_10,multiply(X_161,X_161)))) = commutator(X_10,multiply(X_161,X_161)),
inference(subst,[],[refute_0_39:[bind(X_11,$fot(commutator(X_10,multiply(X_161,X_161))))]]) ).
cnf(refute_0_6992,plain,
multiply(commutator(X_10,multiply(X_161,X_161)),X_10) = multiply(X_10,commutator(X_10,multiply(X_161,X_161))),
inference(subst,[],[refute_0_2195:[bind(X_102,$fot(multiply(X_161,X_161))),bind(X_58,$fot(X_10))]]) ).
cnf(refute_0_6993,plain,
multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))) = inverse(multiply(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)),commutator(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))),
inference(subst,[],[refute_0_598:[bind(X_10,$fot(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))]]) ).
cnf(refute_0_6994,plain,
identity = commutator(multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))),multiply(X_171,multiply(X_184,inverse(multiply(X_184,X_171))))),
inference(subst,[],[refute_0_5715:[bind(X_102,$fot(multiply(X_184,inverse(multiply(X_184,X_171)))))]]) ).
cnf(refute_0_6995,plain,
commutator(X_171,X_184) = multiply(X_171,multiply(X_184,inverse(multiply(X_184,X_171)))),
inference(subst,[],[refute_0_1317:[bind(X_27,$fot(X_184)),bind(X_41,$fot(X_171))]]) ).
cnf(refute_0_6996,plain,
( commutator(X_171,X_184) != multiply(X_171,multiply(X_184,inverse(multiply(X_184,X_171))))
| multiply(X_171,multiply(X_184,inverse(multiply(X_184,X_171)))) = commutator(X_171,X_184) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_171,X_184))),bind(Y0,$fot(multiply(X_171,multiply(X_184,inverse(multiply(X_184,X_171))))))]]) ).
cnf(refute_0_6997,plain,
multiply(X_171,multiply(X_184,inverse(multiply(X_184,X_171)))) = commutator(X_171,X_184),
inference(resolve,[$cnf( $equal(commutator(X_171,X_184),multiply(X_171,multiply(X_184,inverse(multiply(X_184,X_171))))) )],[refute_0_6995,refute_0_6996]) ).
cnf(refute_0_6998,plain,
( multiply(X_171,multiply(X_184,inverse(multiply(X_184,X_171)))) != commutator(X_171,X_184)
| identity != commutator(multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))),multiply(X_171,multiply(X_184,inverse(multiply(X_184,X_171)))))
| identity = commutator(multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))),commutator(X_171,X_184)) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))),multiply(X_171,multiply(X_184,inverse(multiply(X_184,X_171)))))) ),[1,1],$fot(commutator(X_171,X_184))]]) ).
cnf(refute_0_6999,plain,
( identity != commutator(multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))),multiply(X_171,multiply(X_184,inverse(multiply(X_184,X_171)))))
| identity = commutator(multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))),commutator(X_171,X_184)) ),
inference(resolve,[$cnf( $equal(multiply(X_171,multiply(X_184,inverse(multiply(X_184,X_171)))),commutator(X_171,X_184)) )],[refute_0_6997,refute_0_6998]) ).
cnf(refute_0_7000,plain,
identity = commutator(multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))),commutator(X_171,X_184)),
inference(resolve,[$cnf( $equal(identity,commutator(multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))),multiply(X_171,multiply(X_184,inverse(multiply(X_184,X_171)))))) )],[refute_0_6994,refute_0_6999]) ).
cnf(refute_0_7001,plain,
multiply(inverse(X_184),multiply(X_184,X_171)) = X_171,
inference(subst,[],[refute_0_39:[bind(X_10,$fot(X_184)),bind(X_11,$fot(X_171))]]) ).
cnf(refute_0_7002,plain,
multiply(X_171,multiply(inverse(X_184),multiply(X_184,X_171))) = multiply(X_171,multiply(inverse(X_184),multiply(X_184,X_171))),
introduced(tautology,[refl,[$fot(multiply(X_171,multiply(inverse(X_184),multiply(X_184,X_171))))]]) ).
cnf(refute_0_7003,plain,
( multiply(X_171,multiply(inverse(X_184),multiply(X_184,X_171))) != multiply(X_171,multiply(inverse(X_184),multiply(X_184,X_171)))
| multiply(inverse(X_184),multiply(X_184,X_171)) != X_171
| multiply(X_171,multiply(inverse(X_184),multiply(X_184,X_171))) = multiply(X_171,X_171) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_171,multiply(inverse(X_184),multiply(X_184,X_171))),multiply(X_171,multiply(inverse(X_184),multiply(X_184,X_171)))) ),[1,1],$fot(X_171)]]) ).
cnf(refute_0_7004,plain,
( multiply(inverse(X_184),multiply(X_184,X_171)) != X_171
| multiply(X_171,multiply(inverse(X_184),multiply(X_184,X_171))) = multiply(X_171,X_171) ),
inference(resolve,[$cnf( $equal(multiply(X_171,multiply(inverse(X_184),multiply(X_184,X_171))),multiply(X_171,multiply(inverse(X_184),multiply(X_184,X_171)))) )],[refute_0_7002,refute_0_7003]) ).
cnf(refute_0_7005,plain,
multiply(X_171,multiply(inverse(X_184),multiply(X_184,X_171))) = multiply(X_171,X_171),
inference(resolve,[$cnf( $equal(multiply(inverse(X_184),multiply(X_184,X_171)),X_171) )],[refute_0_7001,refute_0_7004]) ).
cnf(refute_0_7006,plain,
multiply(X_184,multiply(X_171,multiply(inverse(X_184),multiply(X_184,X_171)))) = multiply(X_184,multiply(X_171,multiply(inverse(X_184),multiply(X_184,X_171)))),
introduced(tautology,[refl,[$fot(multiply(X_184,multiply(X_171,multiply(inverse(X_184),multiply(X_184,X_171)))))]]) ).
cnf(refute_0_7007,plain,
( multiply(X_171,multiply(inverse(X_184),multiply(X_184,X_171))) != multiply(X_171,X_171)
| multiply(X_184,multiply(X_171,multiply(inverse(X_184),multiply(X_184,X_171)))) != multiply(X_184,multiply(X_171,multiply(inverse(X_184),multiply(X_184,X_171))))
| multiply(X_184,multiply(X_171,multiply(inverse(X_184),multiply(X_184,X_171)))) = multiply(X_184,multiply(X_171,X_171)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_184,multiply(X_171,multiply(inverse(X_184),multiply(X_184,X_171)))),multiply(X_184,multiply(X_171,multiply(inverse(X_184),multiply(X_184,X_171))))) ),[1,1],$fot(multiply(X_171,X_171))]]) ).
cnf(refute_0_7008,plain,
( multiply(X_171,multiply(inverse(X_184),multiply(X_184,X_171))) != multiply(X_171,X_171)
| multiply(X_184,multiply(X_171,multiply(inverse(X_184),multiply(X_184,X_171)))) = multiply(X_184,multiply(X_171,X_171)) ),
inference(resolve,[$cnf( $equal(multiply(X_184,multiply(X_171,multiply(inverse(X_184),multiply(X_184,X_171)))),multiply(X_184,multiply(X_171,multiply(inverse(X_184),multiply(X_184,X_171))))) )],[refute_0_7006,refute_0_7007]) ).
cnf(refute_0_7009,plain,
multiply(X_184,multiply(X_171,multiply(inverse(X_184),multiply(X_184,X_171)))) = multiply(X_184,multiply(X_171,X_171)),
inference(resolve,[$cnf( $equal(multiply(X_171,multiply(inverse(X_184),multiply(X_184,X_171))),multiply(X_171,X_171)) )],[refute_0_7005,refute_0_7008]) ).
cnf(refute_0_7010,plain,
multiply(multiply(X_184,X_171),multiply(inverse(X_184),multiply(X_184,X_171))) = multiply(X_184,multiply(X_171,multiply(inverse(X_184),multiply(X_184,X_171)))),
inference(subst,[],[associativity:[bind(X,$fot(X_184)),bind(Y,$fot(X_171)),bind(Z,$fot(multiply(inverse(X_184),multiply(X_184,X_171))))]]) ).
cnf(refute_0_7011,plain,
( multiply(X_184,multiply(X_171,multiply(inverse(X_184),multiply(X_184,X_171)))) != multiply(X_184,multiply(X_171,X_171))
| multiply(multiply(X_184,X_171),multiply(inverse(X_184),multiply(X_184,X_171))) != multiply(X_184,multiply(X_171,multiply(inverse(X_184),multiply(X_184,X_171))))
| multiply(multiply(X_184,X_171),multiply(inverse(X_184),multiply(X_184,X_171))) = multiply(X_184,multiply(X_171,X_171)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_184,X_171),multiply(inverse(X_184),multiply(X_184,X_171))))),bind(Y0,$fot(multiply(X_184,multiply(X_171,multiply(inverse(X_184),multiply(X_184,X_171)))))),bind(Z0,$fot(multiply(X_184,multiply(X_171,X_171))))]]) ).
cnf(refute_0_7012,plain,
( multiply(X_184,multiply(X_171,multiply(inverse(X_184),multiply(X_184,X_171)))) != multiply(X_184,multiply(X_171,X_171))
| multiply(multiply(X_184,X_171),multiply(inverse(X_184),multiply(X_184,X_171))) = multiply(X_184,multiply(X_171,X_171)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_184,X_171),multiply(inverse(X_184),multiply(X_184,X_171))),multiply(X_184,multiply(X_171,multiply(inverse(X_184),multiply(X_184,X_171))))) )],[refute_0_7010,refute_0_7011]) ).
cnf(refute_0_7013,plain,
multiply(multiply(X_184,X_171),multiply(inverse(X_184),multiply(X_184,X_171))) = multiply(X_184,multiply(X_171,X_171)),
inference(resolve,[$cnf( $equal(multiply(X_184,multiply(X_171,multiply(inverse(X_184),multiply(X_184,X_171)))),multiply(X_184,multiply(X_171,X_171))) )],[refute_0_7009,refute_0_7012]) ).
cnf(refute_0_7014,plain,
inverse(multiply(multiply(X_184,X_171),multiply(inverse(X_184),multiply(X_184,X_171)))) = inverse(multiply(multiply(X_184,X_171),multiply(inverse(X_184),multiply(X_184,X_171)))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_184,X_171),multiply(inverse(X_184),multiply(X_184,X_171)))))]]) ).
cnf(refute_0_7015,plain,
( multiply(multiply(X_184,X_171),multiply(inverse(X_184),multiply(X_184,X_171))) != multiply(X_184,multiply(X_171,X_171))
| inverse(multiply(multiply(X_184,X_171),multiply(inverse(X_184),multiply(X_184,X_171)))) != inverse(multiply(multiply(X_184,X_171),multiply(inverse(X_184),multiply(X_184,X_171))))
| inverse(multiply(multiply(X_184,X_171),multiply(inverse(X_184),multiply(X_184,X_171)))) = inverse(multiply(X_184,multiply(X_171,X_171))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_184,X_171),multiply(inverse(X_184),multiply(X_184,X_171)))),inverse(multiply(multiply(X_184,X_171),multiply(inverse(X_184),multiply(X_184,X_171))))) ),[1,0],$fot(multiply(X_184,multiply(X_171,X_171)))]]) ).
cnf(refute_0_7016,plain,
( multiply(multiply(X_184,X_171),multiply(inverse(X_184),multiply(X_184,X_171))) != multiply(X_184,multiply(X_171,X_171))
| inverse(multiply(multiply(X_184,X_171),multiply(inverse(X_184),multiply(X_184,X_171)))) = inverse(multiply(X_184,multiply(X_171,X_171))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_184,X_171),multiply(inverse(X_184),multiply(X_184,X_171)))),inverse(multiply(multiply(X_184,X_171),multiply(inverse(X_184),multiply(X_184,X_171))))) )],[refute_0_7014,refute_0_7015]) ).
cnf(refute_0_7017,plain,
inverse(multiply(multiply(X_184,X_171),multiply(inverse(X_184),multiply(X_184,X_171)))) = inverse(multiply(X_184,multiply(X_171,X_171))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_184,X_171),multiply(inverse(X_184),multiply(X_184,X_171))),multiply(X_184,multiply(X_171,X_171))) )],[refute_0_7013,refute_0_7016]) ).
cnf(refute_0_7018,plain,
multiply(inverse(multiply(X_184,X_171)),multiply(X_184,inverse(multiply(X_184,X_171)))) = inverse(multiply(multiply(X_184,X_171),multiply(inverse(X_184),multiply(X_184,X_171)))),
inference(subst,[],[refute_0_1684:[bind(X_58,$fot(multiply(X_184,X_171))),bind(X_73,$fot(multiply(X_184,X_171))),bind(X_74,$fot(X_184))]]) ).
cnf(refute_0_7019,plain,
( multiply(inverse(multiply(X_184,X_171)),multiply(X_184,inverse(multiply(X_184,X_171)))) != inverse(multiply(multiply(X_184,X_171),multiply(inverse(X_184),multiply(X_184,X_171))))
| inverse(multiply(multiply(X_184,X_171),multiply(inverse(X_184),multiply(X_184,X_171)))) != inverse(multiply(X_184,multiply(X_171,X_171)))
| multiply(inverse(multiply(X_184,X_171)),multiply(X_184,inverse(multiply(X_184,X_171)))) = inverse(multiply(X_184,multiply(X_171,X_171))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_184,X_171)),multiply(X_184,inverse(multiply(X_184,X_171)))))),bind(Y0,$fot(inverse(multiply(multiply(X_184,X_171),multiply(inverse(X_184),multiply(X_184,X_171)))))),bind(Z0,$fot(inverse(multiply(X_184,multiply(X_171,X_171)))))]]) ).
cnf(refute_0_7020,plain,
( inverse(multiply(multiply(X_184,X_171),multiply(inverse(X_184),multiply(X_184,X_171)))) != inverse(multiply(X_184,multiply(X_171,X_171)))
| multiply(inverse(multiply(X_184,X_171)),multiply(X_184,inverse(multiply(X_184,X_171)))) = inverse(multiply(X_184,multiply(X_171,X_171))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_184,X_171)),multiply(X_184,inverse(multiply(X_184,X_171)))),inverse(multiply(multiply(X_184,X_171),multiply(inverse(X_184),multiply(X_184,X_171))))) )],[refute_0_7018,refute_0_7019]) ).
cnf(refute_0_7021,plain,
multiply(inverse(multiply(X_184,X_171)),multiply(X_184,inverse(multiply(X_184,X_171)))) = inverse(multiply(X_184,multiply(X_171,X_171))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_184,X_171),multiply(inverse(X_184),multiply(X_184,X_171)))),inverse(multiply(X_184,multiply(X_171,X_171)))) )],[refute_0_7017,refute_0_7020]) ).
cnf(refute_0_7022,plain,
multiply(X_184,multiply(inverse(multiply(X_184,X_171)),multiply(X_184,inverse(multiply(X_184,X_171))))) = multiply(X_184,multiply(inverse(multiply(X_184,X_171)),multiply(X_184,inverse(multiply(X_184,X_171))))),
introduced(tautology,[refl,[$fot(multiply(X_184,multiply(inverse(multiply(X_184,X_171)),multiply(X_184,inverse(multiply(X_184,X_171))))))]]) ).
cnf(refute_0_7023,plain,
( multiply(X_184,multiply(inverse(multiply(X_184,X_171)),multiply(X_184,inverse(multiply(X_184,X_171))))) != multiply(X_184,multiply(inverse(multiply(X_184,X_171)),multiply(X_184,inverse(multiply(X_184,X_171)))))
| multiply(inverse(multiply(X_184,X_171)),multiply(X_184,inverse(multiply(X_184,X_171)))) != inverse(multiply(X_184,multiply(X_171,X_171)))
| multiply(X_184,multiply(inverse(multiply(X_184,X_171)),multiply(X_184,inverse(multiply(X_184,X_171))))) = multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_184,multiply(inverse(multiply(X_184,X_171)),multiply(X_184,inverse(multiply(X_184,X_171))))),multiply(X_184,multiply(inverse(multiply(X_184,X_171)),multiply(X_184,inverse(multiply(X_184,X_171)))))) ),[1,1],$fot(inverse(multiply(X_184,multiply(X_171,X_171))))]]) ).
cnf(refute_0_7024,plain,
( multiply(inverse(multiply(X_184,X_171)),multiply(X_184,inverse(multiply(X_184,X_171)))) != inverse(multiply(X_184,multiply(X_171,X_171)))
| multiply(X_184,multiply(inverse(multiply(X_184,X_171)),multiply(X_184,inverse(multiply(X_184,X_171))))) = multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171)))) ),
inference(resolve,[$cnf( $equal(multiply(X_184,multiply(inverse(multiply(X_184,X_171)),multiply(X_184,inverse(multiply(X_184,X_171))))),multiply(X_184,multiply(inverse(multiply(X_184,X_171)),multiply(X_184,inverse(multiply(X_184,X_171)))))) )],[refute_0_7022,refute_0_7023]) ).
cnf(refute_0_7025,plain,
multiply(X_184,multiply(inverse(multiply(X_184,X_171)),multiply(X_184,inverse(multiply(X_184,X_171))))) = multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171)))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_184,X_171)),multiply(X_184,inverse(multiply(X_184,X_171)))),inverse(multiply(X_184,multiply(X_171,X_171)))) )],[refute_0_7021,refute_0_7024]) ).
cnf(refute_0_7026,plain,
multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))) = multiply(X_184,multiply(inverse(multiply(X_184,X_171)),multiply(X_184,inverse(multiply(X_184,X_171))))),
inference(subst,[],[associativity:[bind(X,$fot(X_184)),bind(Y,$fot(inverse(multiply(X_184,X_171)))),bind(Z,$fot(multiply(X_184,inverse(multiply(X_184,X_171)))))]]) ).
cnf(refute_0_7027,plain,
( multiply(X_184,multiply(inverse(multiply(X_184,X_171)),multiply(X_184,inverse(multiply(X_184,X_171))))) != multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171))))
| multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))) != multiply(X_184,multiply(inverse(multiply(X_184,X_171)),multiply(X_184,inverse(multiply(X_184,X_171)))))
| multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))) = multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))),bind(Y0,$fot(multiply(X_184,multiply(inverse(multiply(X_184,X_171)),multiply(X_184,inverse(multiply(X_184,X_171))))))),bind(Z0,$fot(multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171))))))]]) ).
cnf(refute_0_7028,plain,
( multiply(X_184,multiply(inverse(multiply(X_184,X_171)),multiply(X_184,inverse(multiply(X_184,X_171))))) != multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171))))
| multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))) = multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))),multiply(X_184,multiply(inverse(multiply(X_184,X_171)),multiply(X_184,inverse(multiply(X_184,X_171)))))) )],[refute_0_7026,refute_0_7027]) ).
cnf(refute_0_7029,plain,
multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))) = multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171)))),
inference(resolve,[$cnf( $equal(multiply(X_184,multiply(inverse(multiply(X_184,X_171)),multiply(X_184,inverse(multiply(X_184,X_171))))),multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171))))) )],[refute_0_7025,refute_0_7028]) ).
cnf(refute_0_7030,plain,
commutator(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171))))) = commutator(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171))))),
introduced(tautology,[refl,[$fot(commutator(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171))))))]]) ).
cnf(refute_0_7031,plain,
( multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))) != multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171))))
| commutator(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171))))) != commutator(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))
| commutator(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171))))) = commutator(X_171,multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171))))),commutator(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))) ),[1,1],$fot(multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171)))))]]) ).
cnf(refute_0_7032,plain,
( multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))) != multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171))))
| commutator(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171))))) = commutator(X_171,multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171))))) ),
inference(resolve,[$cnf( $equal(commutator(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171))))),commutator(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))) )],[refute_0_7030,refute_0_7031]) ).
cnf(refute_0_7033,plain,
commutator(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171))))) = commutator(X_171,multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171))))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))),multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171))))) )],[refute_0_7029,refute_0_7032]) ).
cnf(refute_0_7034,plain,
commutator(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))) = commutator(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171))))),
inference(subst,[],[refute_0_455:[bind(X_10,$fot(X_171)),bind(X_11,$fot(multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171))))))]]) ).
cnf(refute_0_7035,plain,
commutator(X_171,multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171))))))) = commutator(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))),
inference(subst,[],[refute_0_455:[bind(X_10,$fot(X_171)),bind(X_11,$fot(multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))))]]) ).
cnf(refute_0_7036,plain,
( commutator(X_171,multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171))))))) != commutator(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171))))))
| commutator(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))) != commutator(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))
| commutator(X_171,multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171))))))) = commutator(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(X_171,multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171))))))))),bind(Y0,$fot(commutator(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))))),bind(Z0,$fot(commutator(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))))]]) ).
cnf(refute_0_7037,plain,
( commutator(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))) != commutator(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))
| commutator(X_171,multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171))))))) = commutator(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171))))) ),
inference(resolve,[$cnf( $equal(commutator(X_171,multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171))))))),commutator(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171))))))) )],[refute_0_7035,refute_0_7036]) ).
cnf(refute_0_7038,plain,
commutator(X_171,multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171))))))) = commutator(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171))))),
inference(resolve,[$cnf( $equal(commutator(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))),commutator(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))) )],[refute_0_7034,refute_0_7037]) ).
cnf(refute_0_7039,plain,
( commutator(X_171,multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171))))))) != commutator(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))
| commutator(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171))))) != commutator(X_171,multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171)))))
| commutator(X_171,multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171))))))) = commutator(X_171,multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(X_171,multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171))))))))),bind(Y0,$fot(commutator(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171))))))),bind(Z0,$fot(commutator(X_171,multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171)))))))]]) ).
cnf(refute_0_7040,plain,
( commutator(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171))))) != commutator(X_171,multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171)))))
| commutator(X_171,multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171))))))) = commutator(X_171,multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171))))) ),
inference(resolve,[$cnf( $equal(commutator(X_171,multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171))))))),commutator(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))) )],[refute_0_7038,refute_0_7039]) ).
cnf(refute_0_7041,plain,
commutator(X_171,multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171))))))) = commutator(X_171,multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171))))),
inference(resolve,[$cnf( $equal(commutator(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171))))),commutator(X_171,multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171)))))) )],[refute_0_7033,refute_0_7040]) ).
cnf(refute_0_7042,plain,
commutator(X_184,commutator(X_171,multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))))) = commutator(X_184,commutator(X_171,multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))))),
introduced(tautology,[refl,[$fot(commutator(X_184,commutator(X_171,multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))))))]]) ).
cnf(refute_0_7043,plain,
( commutator(X_171,multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171))))))) != commutator(X_171,multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171)))))
| commutator(X_184,commutator(X_171,multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))))) != commutator(X_184,commutator(X_171,multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171))))))))
| commutator(X_184,commutator(X_171,multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))))) = commutator(X_184,commutator(X_171,multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171)))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_184,commutator(X_171,multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))))),commutator(X_184,commutator(X_171,multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171))))))))) ),[1,1],$fot(commutator(X_171,multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171))))))]]) ).
cnf(refute_0_7044,plain,
( commutator(X_171,multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171))))))) != commutator(X_171,multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171)))))
| commutator(X_184,commutator(X_171,multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))))) = commutator(X_184,commutator(X_171,multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171)))))) ),
inference(resolve,[$cnf( $equal(commutator(X_184,commutator(X_171,multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))))),commutator(X_184,commutator(X_171,multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171))))))))) )],[refute_0_7042,refute_0_7043]) ).
cnf(refute_0_7045,plain,
commutator(X_184,commutator(X_171,multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))))) = commutator(X_184,commutator(X_171,multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171)))))),
inference(resolve,[$cnf( $equal(commutator(X_171,multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171))))))),commutator(X_171,multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171)))))) )],[refute_0_7041,refute_0_7044]) ).
cnf(refute_0_7046,plain,
commutator(multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))),commutator(X_171,X_184)) = commutator(X_184,commutator(X_171,multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))))),
inference(subst,[],[refute_0_1343:[bind(Z,$fot(X_171)),bind(X_169,$fot(X_184)),bind(X_170,$fot(multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171))))))))]]) ).
cnf(refute_0_7047,plain,
( commutator(X_184,commutator(X_171,multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))))) != commutator(X_184,commutator(X_171,multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171))))))
| commutator(multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))),commutator(X_171,X_184)) != commutator(X_184,commutator(X_171,multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171))))))))
| commutator(multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))),commutator(X_171,X_184)) = commutator(X_184,commutator(X_171,multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171)))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))),commutator(X_171,X_184)))),bind(Y0,$fot(commutator(X_184,commutator(X_171,multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))))))),bind(Z0,$fot(commutator(X_184,commutator(X_171,multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171))))))))]]) ).
cnf(refute_0_7048,plain,
( commutator(X_184,commutator(X_171,multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))))) != commutator(X_184,commutator(X_171,multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171))))))
| commutator(multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))),commutator(X_171,X_184)) = commutator(X_184,commutator(X_171,multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171)))))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))),commutator(X_171,X_184)),commutator(X_184,commutator(X_171,multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171))))))))) )],[refute_0_7046,refute_0_7047]) ).
cnf(refute_0_7049,plain,
commutator(multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))),commutator(X_171,X_184)) = commutator(X_184,commutator(X_171,multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171)))))),
inference(resolve,[$cnf( $equal(commutator(X_184,commutator(X_171,multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))))),commutator(X_184,commutator(X_171,multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171))))))) )],[refute_0_7045,refute_0_7048]) ).
cnf(refute_0_7050,plain,
( commutator(multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))),commutator(X_171,X_184)) != commutator(X_184,commutator(X_171,multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171))))))
| identity != commutator(multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))),commutator(X_171,X_184))
| identity = commutator(X_184,commutator(X_171,multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171)))))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))),commutator(X_171,X_184))) ),[1],$fot(commutator(X_184,commutator(X_171,multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171)))))))]]) ).
cnf(refute_0_7051,plain,
( identity != commutator(multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))),commutator(X_171,X_184))
| identity = commutator(X_184,commutator(X_171,multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171)))))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))),commutator(X_171,X_184)),commutator(X_184,commutator(X_171,multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171))))))) )],[refute_0_7049,refute_0_7050]) ).
cnf(refute_0_7052,plain,
identity = commutator(X_184,commutator(X_171,multiply(X_184,inverse(multiply(X_184,multiply(X_171,X_171)))))),
inference(resolve,[$cnf( $equal(identity,commutator(multiply(X_171,multiply(X_171,multiply(multiply(X_184,inverse(multiply(X_184,X_171))),multiply(X_184,inverse(multiply(X_184,X_171)))))),commutator(X_171,X_184))) )],[refute_0_7000,refute_0_7051]) ).
cnf(refute_0_7053,plain,
identity = commutator(inverse(multiply(X_256,multiply(X_256,X_257))),commutator(multiply(X_256,X_257),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(multiply(X_256,X_257),multiply(X_256,X_257))))))),
inference(subst,[],[refute_0_7052:[bind(X_171,$fot(multiply(X_256,X_257))),bind(X_184,$fot(inverse(multiply(X_256,multiply(X_256,X_257)))))]]) ).
cnf(refute_0_7054,plain,
( multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(multiply(X_256,X_257),multiply(X_256,X_257))) != multiply(commutator(multiply(X_256,X_257),X_256),X_257)
| identity != commutator(inverse(multiply(X_256,multiply(X_256,X_257))),commutator(multiply(X_256,X_257),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(multiply(X_256,X_257),multiply(X_256,X_257)))))))
| identity = commutator(inverse(multiply(X_256,multiply(X_256,X_257))),commutator(multiply(X_256,X_257),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(inverse(multiply(X_256,multiply(X_256,X_257))),commutator(multiply(X_256,X_257),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(multiply(X_256,X_257),multiply(X_256,X_257)))))))) ),[1,1,1,1,0],$fot(multiply(commutator(multiply(X_256,X_257),X_256),X_257))]]) ).
cnf(refute_0_7055,plain,
( identity != commutator(inverse(multiply(X_256,multiply(X_256,X_257))),commutator(multiply(X_256,X_257),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(multiply(X_256,X_257),multiply(X_256,X_257)))))))
| identity = commutator(inverse(multiply(X_256,multiply(X_256,X_257))),commutator(multiply(X_256,X_257),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(multiply(X_256,X_257),multiply(X_256,X_257))),multiply(commutator(multiply(X_256,X_257),X_256),X_257)) )],[refute_0_5850,refute_0_7054]) ).
cnf(refute_0_7056,plain,
identity = commutator(inverse(multiply(X_256,multiply(X_256,X_257))),commutator(multiply(X_256,X_257),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))))),
inference(resolve,[$cnf( $equal(identity,commutator(inverse(multiply(X_256,multiply(X_256,X_257))),commutator(multiply(X_256,X_257),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(multiply(X_256,X_257),multiply(X_256,X_257)))))))) )],[refute_0_7053,refute_0_7055]) ).
cnf(refute_0_7057,plain,
multiply(X_256,multiply(X_257,commutator(X_257,X_256))) = multiply(X_257,X_256),
inference(subst,[],[refute_0_2600:[bind(X,$fot(X_257)),bind(Y,$fot(X_256))]]) ).
cnf(refute_0_7058,plain,
multiply(commutator(X_257,X_256),X_257) = multiply(X_257,commutator(X_257,X_256)),
inference(subst,[],[refute_0_2195:[bind(X_102,$fot(X_256)),bind(X_58,$fot(X_257))]]) ).
cnf(refute_0_7059,plain,
multiply(X_256,multiply(commutator(X_257,X_256),X_257)) = multiply(X_256,multiply(commutator(X_257,X_256),X_257)),
introduced(tautology,[refl,[$fot(multiply(X_256,multiply(commutator(X_257,X_256),X_257)))]]) ).
cnf(refute_0_7060,plain,
( multiply(X_256,multiply(commutator(X_257,X_256),X_257)) != multiply(X_256,multiply(commutator(X_257,X_256),X_257))
| multiply(commutator(X_257,X_256),X_257) != multiply(X_257,commutator(X_257,X_256))
| multiply(X_256,multiply(commutator(X_257,X_256),X_257)) = multiply(X_256,multiply(X_257,commutator(X_257,X_256))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_256,multiply(commutator(X_257,X_256),X_257)),multiply(X_256,multiply(commutator(X_257,X_256),X_257))) ),[1,1],$fot(multiply(X_257,commutator(X_257,X_256)))]]) ).
cnf(refute_0_7061,plain,
( multiply(commutator(X_257,X_256),X_257) != multiply(X_257,commutator(X_257,X_256))
| multiply(X_256,multiply(commutator(X_257,X_256),X_257)) = multiply(X_256,multiply(X_257,commutator(X_257,X_256))) ),
inference(resolve,[$cnf( $equal(multiply(X_256,multiply(commutator(X_257,X_256),X_257)),multiply(X_256,multiply(commutator(X_257,X_256),X_257))) )],[refute_0_7059,refute_0_7060]) ).
cnf(refute_0_7062,plain,
multiply(X_256,multiply(commutator(X_257,X_256),X_257)) = multiply(X_256,multiply(X_257,commutator(X_257,X_256))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_257,X_256),X_257),multiply(X_257,commutator(X_257,X_256))) )],[refute_0_7058,refute_0_7061]) ).
cnf(refute_0_7063,plain,
( multiply(X_256,multiply(X_257,commutator(X_257,X_256))) != multiply(X_257,X_256)
| multiply(X_256,multiply(commutator(X_257,X_256),X_257)) != multiply(X_256,multiply(X_257,commutator(X_257,X_256)))
| multiply(X_256,multiply(commutator(X_257,X_256),X_257)) = multiply(X_257,X_256) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_256,multiply(commutator(X_257,X_256),X_257)))),bind(Y0,$fot(multiply(X_256,multiply(X_257,commutator(X_257,X_256))))),bind(Z0,$fot(multiply(X_257,X_256)))]]) ).
cnf(refute_0_7064,plain,
( multiply(X_256,multiply(X_257,commutator(X_257,X_256))) != multiply(X_257,X_256)
| multiply(X_256,multiply(commutator(X_257,X_256),X_257)) = multiply(X_257,X_256) ),
inference(resolve,[$cnf( $equal(multiply(X_256,multiply(commutator(X_257,X_256),X_257)),multiply(X_256,multiply(X_257,commutator(X_257,X_256)))) )],[refute_0_7062,refute_0_7063]) ).
cnf(refute_0_7065,plain,
multiply(X_256,multiply(commutator(X_257,X_256),X_257)) = multiply(X_257,X_256),
inference(resolve,[$cnf( $equal(multiply(X_256,multiply(X_257,commutator(X_257,X_256))),multiply(X_257,X_256)) )],[refute_0_7057,refute_0_7064]) ).
cnf(refute_0_7066,plain,
multiply(commutator(inverse(multiply(X_256,Y)),Y),multiply(X_256,X_257)) = multiply(inverse(multiply(Y,inverse(multiply(X_256,Y)))),multiply(inverse(multiply(X_256,Y)),multiply(Y,multiply(X_256,X_257)))),
inference(subst,[],[refute_0_246:[bind(X,$fot(inverse(multiply(X_256,Y)))),bind(X_11,$fot(multiply(X_256,X_257)))]]) ).
cnf(refute_0_7067,plain,
multiply(commutator(Y,X_256),X_257) = multiply(inverse(multiply(X_256,Y)),multiply(Y,multiply(X_256,X_257))),
inference(subst,[],[refute_0_246:[bind(X,$fot(Y)),bind(Y,$fot(X_256)),bind(X_11,$fot(X_257))]]) ).
cnf(refute_0_7068,plain,
( multiply(commutator(Y,X_256),X_257) != multiply(inverse(multiply(X_256,Y)),multiply(Y,multiply(X_256,X_257)))
| multiply(inverse(multiply(X_256,Y)),multiply(Y,multiply(X_256,X_257))) = multiply(commutator(Y,X_256),X_257) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(commutator(Y,X_256),X_257))),bind(Y0,$fot(multiply(inverse(multiply(X_256,Y)),multiply(Y,multiply(X_256,X_257)))))]]) ).
cnf(refute_0_7069,plain,
multiply(inverse(multiply(X_256,Y)),multiply(Y,multiply(X_256,X_257))) = multiply(commutator(Y,X_256),X_257),
inference(resolve,[$cnf( $equal(multiply(commutator(Y,X_256),X_257),multiply(inverse(multiply(X_256,Y)),multiply(Y,multiply(X_256,X_257)))) )],[refute_0_7067,refute_0_7068]) ).
cnf(refute_0_7070,plain,
( multiply(commutator(inverse(multiply(X_256,Y)),Y),multiply(X_256,X_257)) != multiply(inverse(multiply(Y,inverse(multiply(X_256,Y)))),multiply(inverse(multiply(X_256,Y)),multiply(Y,multiply(X_256,X_257))))
| multiply(inverse(multiply(X_256,Y)),multiply(Y,multiply(X_256,X_257))) != multiply(commutator(Y,X_256),X_257)
| multiply(commutator(inverse(multiply(X_256,Y)),Y),multiply(X_256,X_257)) = multiply(inverse(multiply(Y,inverse(multiply(X_256,Y)))),multiply(commutator(Y,X_256),X_257)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(inverse(multiply(X_256,Y)),Y),multiply(X_256,X_257)),multiply(inverse(multiply(Y,inverse(multiply(X_256,Y)))),multiply(inverse(multiply(X_256,Y)),multiply(Y,multiply(X_256,X_257))))) ),[1,1],$fot(multiply(commutator(Y,X_256),X_257))]]) ).
cnf(refute_0_7071,plain,
( multiply(commutator(inverse(multiply(X_256,Y)),Y),multiply(X_256,X_257)) != multiply(inverse(multiply(Y,inverse(multiply(X_256,Y)))),multiply(inverse(multiply(X_256,Y)),multiply(Y,multiply(X_256,X_257))))
| multiply(commutator(inverse(multiply(X_256,Y)),Y),multiply(X_256,X_257)) = multiply(inverse(multiply(Y,inverse(multiply(X_256,Y)))),multiply(commutator(Y,X_256),X_257)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_256,Y)),multiply(Y,multiply(X_256,X_257))),multiply(commutator(Y,X_256),X_257)) )],[refute_0_7069,refute_0_7070]) ).
cnf(refute_0_7072,plain,
multiply(commutator(inverse(multiply(X_256,Y)),Y),multiply(X_256,X_257)) = multiply(inverse(multiply(Y,inverse(multiply(X_256,Y)))),multiply(commutator(Y,X_256),X_257)),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(multiply(X_256,Y)),Y),multiply(X_256,X_257)),multiply(inverse(multiply(Y,inverse(multiply(X_256,Y)))),multiply(inverse(multiply(X_256,Y)),multiply(Y,multiply(X_256,X_257))))) )],[refute_0_7066,refute_0_7071]) ).
cnf(refute_0_7073,plain,
commutator(Y,multiply(X_256,Y)) = commutator(Y,X_256),
inference(subst,[],[refute_0_4212:[bind(X_10,$fot(X_256)),bind(X_84,$fot(Y))]]) ).
cnf(refute_0_7074,plain,
commutator(inverse(multiply(X_256,Y)),Y) = commutator(Y,multiply(X_256,Y)),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(multiply(X_256,Y))),bind(X_110,$fot(Y))]]) ).
cnf(refute_0_7075,plain,
( commutator(Y,multiply(X_256,Y)) != commutator(Y,X_256)
| commutator(inverse(multiply(X_256,Y)),Y) != commutator(Y,multiply(X_256,Y))
| commutator(inverse(multiply(X_256,Y)),Y) = commutator(Y,X_256) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(inverse(multiply(X_256,Y)),Y))),bind(Y0,$fot(commutator(Y,multiply(X_256,Y)))),bind(Z0,$fot(commutator(Y,X_256)))]]) ).
cnf(refute_0_7076,plain,
( commutator(Y,multiply(X_256,Y)) != commutator(Y,X_256)
| commutator(inverse(multiply(X_256,Y)),Y) = commutator(Y,X_256) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_256,Y)),Y),commutator(Y,multiply(X_256,Y))) )],[refute_0_7074,refute_0_7075]) ).
cnf(refute_0_7077,plain,
commutator(inverse(multiply(X_256,Y)),Y) = commutator(Y,X_256),
inference(resolve,[$cnf( $equal(commutator(Y,multiply(X_256,Y)),commutator(Y,X_256)) )],[refute_0_7073,refute_0_7076]) ).
cnf(refute_0_7078,plain,
multiply(commutator(inverse(multiply(X_256,Y)),Y),multiply(X_256,X_257)) = multiply(commutator(inverse(multiply(X_256,Y)),Y),multiply(X_256,X_257)),
introduced(tautology,[refl,[$fot(multiply(commutator(inverse(multiply(X_256,Y)),Y),multiply(X_256,X_257)))]]) ).
cnf(refute_0_7079,plain,
( multiply(commutator(inverse(multiply(X_256,Y)),Y),multiply(X_256,X_257)) != multiply(commutator(inverse(multiply(X_256,Y)),Y),multiply(X_256,X_257))
| commutator(inverse(multiply(X_256,Y)),Y) != commutator(Y,X_256)
| multiply(commutator(inverse(multiply(X_256,Y)),Y),multiply(X_256,X_257)) = multiply(commutator(Y,X_256),multiply(X_256,X_257)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(inverse(multiply(X_256,Y)),Y),multiply(X_256,X_257)),multiply(commutator(inverse(multiply(X_256,Y)),Y),multiply(X_256,X_257))) ),[1,0],$fot(commutator(Y,X_256))]]) ).
cnf(refute_0_7080,plain,
( commutator(inverse(multiply(X_256,Y)),Y) != commutator(Y,X_256)
| multiply(commutator(inverse(multiply(X_256,Y)),Y),multiply(X_256,X_257)) = multiply(commutator(Y,X_256),multiply(X_256,X_257)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(multiply(X_256,Y)),Y),multiply(X_256,X_257)),multiply(commutator(inverse(multiply(X_256,Y)),Y),multiply(X_256,X_257))) )],[refute_0_7078,refute_0_7079]) ).
cnf(refute_0_7081,plain,
multiply(commutator(inverse(multiply(X_256,Y)),Y),multiply(X_256,X_257)) = multiply(commutator(Y,X_256),multiply(X_256,X_257)),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_256,Y)),Y),commutator(Y,X_256)) )],[refute_0_7077,refute_0_7080]) ).
cnf(refute_0_7082,plain,
( multiply(commutator(inverse(multiply(X_256,Y)),Y),multiply(X_256,X_257)) != multiply(commutator(Y,X_256),multiply(X_256,X_257))
| multiply(commutator(inverse(multiply(X_256,Y)),Y),multiply(X_256,X_257)) != multiply(inverse(multiply(Y,inverse(multiply(X_256,Y)))),multiply(commutator(Y,X_256),X_257))
| multiply(commutator(Y,X_256),multiply(X_256,X_257)) = multiply(inverse(multiply(Y,inverse(multiply(X_256,Y)))),multiply(commutator(Y,X_256),X_257)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(inverse(multiply(X_256,Y)),Y),multiply(X_256,X_257)),multiply(inverse(multiply(Y,inverse(multiply(X_256,Y)))),multiply(commutator(Y,X_256),X_257))) ),[0],$fot(multiply(commutator(Y,X_256),multiply(X_256,X_257)))]]) ).
cnf(refute_0_7083,plain,
( multiply(commutator(inverse(multiply(X_256,Y)),Y),multiply(X_256,X_257)) != multiply(inverse(multiply(Y,inverse(multiply(X_256,Y)))),multiply(commutator(Y,X_256),X_257))
| multiply(commutator(Y,X_256),multiply(X_256,X_257)) = multiply(inverse(multiply(Y,inverse(multiply(X_256,Y)))),multiply(commutator(Y,X_256),X_257)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(multiply(X_256,Y)),Y),multiply(X_256,X_257)),multiply(commutator(Y,X_256),multiply(X_256,X_257))) )],[refute_0_7081,refute_0_7082]) ).
cnf(refute_0_7084,plain,
multiply(X_256,identity) = X_256,
inference(subst,[],[refute_0_100:[bind(X_16,$fot(X_256))]]) ).
cnf(refute_0_7085,plain,
multiply(Y,inverse(Y)) = identity,
inference(subst,[],[refute_0_4739:[bind(X_23,$fot(Y))]]) ).
cnf(refute_0_7086,plain,
multiply(X_256,multiply(Y,inverse(Y))) = multiply(X_256,multiply(Y,inverse(Y))),
introduced(tautology,[refl,[$fot(multiply(X_256,multiply(Y,inverse(Y))))]]) ).
cnf(refute_0_7087,plain,
( multiply(Y,inverse(Y)) != identity
| multiply(X_256,multiply(Y,inverse(Y))) != multiply(X_256,multiply(Y,inverse(Y)))
| multiply(X_256,multiply(Y,inverse(Y))) = multiply(X_256,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_256,multiply(Y,inverse(Y))),multiply(X_256,multiply(Y,inverse(Y)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_7088,plain,
( multiply(Y,inverse(Y)) != identity
| multiply(X_256,multiply(Y,inverse(Y))) = multiply(X_256,identity) ),
inference(resolve,[$cnf( $equal(multiply(X_256,multiply(Y,inverse(Y))),multiply(X_256,multiply(Y,inverse(Y)))) )],[refute_0_7086,refute_0_7087]) ).
cnf(refute_0_7089,plain,
multiply(X_256,multiply(Y,inverse(Y))) = multiply(X_256,identity),
inference(resolve,[$cnf( $equal(multiply(Y,inverse(Y)),identity) )],[refute_0_7085,refute_0_7088]) ).
cnf(refute_0_7090,plain,
( multiply(X_256,multiply(Y,inverse(Y))) != multiply(X_256,identity)
| multiply(X_256,identity) != X_256
| multiply(X_256,multiply(Y,inverse(Y))) = X_256 ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_256,multiply(Y,inverse(Y))))),bind(Y0,$fot(multiply(X_256,identity))),bind(Z0,$fot(X_256))]]) ).
cnf(refute_0_7091,plain,
( multiply(X_256,identity) != X_256
| multiply(X_256,multiply(Y,inverse(Y))) = X_256 ),
inference(resolve,[$cnf( $equal(multiply(X_256,multiply(Y,inverse(Y))),multiply(X_256,identity)) )],[refute_0_7089,refute_0_7090]) ).
cnf(refute_0_7092,plain,
multiply(X_256,multiply(Y,inverse(Y))) = X_256,
inference(resolve,[$cnf( $equal(multiply(X_256,identity),X_256) )],[refute_0_7084,refute_0_7091]) ).
cnf(refute_0_7093,plain,
multiply(multiply(X_256,Y),inverse(Y)) = multiply(X_256,multiply(Y,inverse(Y))),
inference(subst,[],[associativity:[bind(X,$fot(X_256)),bind(Z,$fot(inverse(Y)))]]) ).
cnf(refute_0_7094,plain,
inverse(multiply(Y,inverse(multiply(X_256,Y)))) = multiply(multiply(X_256,Y),inverse(Y)),
inference(subst,[],[refute_0_180:[bind(X,$fot(multiply(X_256,Y))),bind(X_58,$fot(Y))]]) ).
cnf(refute_0_7095,plain,
( multiply(multiply(X_256,Y),inverse(Y)) != multiply(X_256,multiply(Y,inverse(Y)))
| inverse(multiply(Y,inverse(multiply(X_256,Y)))) != multiply(multiply(X_256,Y),inverse(Y))
| inverse(multiply(Y,inverse(multiply(X_256,Y)))) = multiply(X_256,multiply(Y,inverse(Y))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(Y,inverse(multiply(X_256,Y)))))),bind(Y0,$fot(multiply(multiply(X_256,Y),inverse(Y)))),bind(Z0,$fot(multiply(X_256,multiply(Y,inverse(Y)))))]]) ).
cnf(refute_0_7096,plain,
( multiply(multiply(X_256,Y),inverse(Y)) != multiply(X_256,multiply(Y,inverse(Y)))
| inverse(multiply(Y,inverse(multiply(X_256,Y)))) = multiply(X_256,multiply(Y,inverse(Y))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(Y,inverse(multiply(X_256,Y)))),multiply(multiply(X_256,Y),inverse(Y))) )],[refute_0_7094,refute_0_7095]) ).
cnf(refute_0_7097,plain,
inverse(multiply(Y,inverse(multiply(X_256,Y)))) = multiply(X_256,multiply(Y,inverse(Y))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_256,Y),inverse(Y)),multiply(X_256,multiply(Y,inverse(Y)))) )],[refute_0_7093,refute_0_7096]) ).
cnf(refute_0_7098,plain,
( multiply(X_256,multiply(Y,inverse(Y))) != X_256
| inverse(multiply(Y,inverse(multiply(X_256,Y)))) != multiply(X_256,multiply(Y,inverse(Y)))
| inverse(multiply(Y,inverse(multiply(X_256,Y)))) = X_256 ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(Y,inverse(multiply(X_256,Y)))))),bind(Y0,$fot(multiply(X_256,multiply(Y,inverse(Y))))),bind(Z0,$fot(X_256))]]) ).
cnf(refute_0_7099,plain,
( multiply(X_256,multiply(Y,inverse(Y))) != X_256
| inverse(multiply(Y,inverse(multiply(X_256,Y)))) = X_256 ),
inference(resolve,[$cnf( $equal(inverse(multiply(Y,inverse(multiply(X_256,Y)))),multiply(X_256,multiply(Y,inverse(Y)))) )],[refute_0_7097,refute_0_7098]) ).
cnf(refute_0_7100,plain,
inverse(multiply(Y,inverse(multiply(X_256,Y)))) = X_256,
inference(resolve,[$cnf( $equal(multiply(X_256,multiply(Y,inverse(Y))),X_256) )],[refute_0_7092,refute_0_7099]) ).
cnf(refute_0_7101,plain,
multiply(inverse(multiply(Y,inverse(multiply(X_256,Y)))),multiply(commutator(Y,X_256),X_257)) = multiply(inverse(multiply(Y,inverse(multiply(X_256,Y)))),multiply(commutator(Y,X_256),X_257)),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(Y,inverse(multiply(X_256,Y)))),multiply(commutator(Y,X_256),X_257)))]]) ).
cnf(refute_0_7102,plain,
( multiply(inverse(multiply(Y,inverse(multiply(X_256,Y)))),multiply(commutator(Y,X_256),X_257)) != multiply(inverse(multiply(Y,inverse(multiply(X_256,Y)))),multiply(commutator(Y,X_256),X_257))
| inverse(multiply(Y,inverse(multiply(X_256,Y)))) != X_256
| multiply(inverse(multiply(Y,inverse(multiply(X_256,Y)))),multiply(commutator(Y,X_256),X_257)) = multiply(X_256,multiply(commutator(Y,X_256),X_257)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(Y,inverse(multiply(X_256,Y)))),multiply(commutator(Y,X_256),X_257)),multiply(inverse(multiply(Y,inverse(multiply(X_256,Y)))),multiply(commutator(Y,X_256),X_257))) ),[1,0],$fot(X_256)]]) ).
cnf(refute_0_7103,plain,
( inverse(multiply(Y,inverse(multiply(X_256,Y)))) != X_256
| multiply(inverse(multiply(Y,inverse(multiply(X_256,Y)))),multiply(commutator(Y,X_256),X_257)) = multiply(X_256,multiply(commutator(Y,X_256),X_257)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(Y,inverse(multiply(X_256,Y)))),multiply(commutator(Y,X_256),X_257)),multiply(inverse(multiply(Y,inverse(multiply(X_256,Y)))),multiply(commutator(Y,X_256),X_257))) )],[refute_0_7101,refute_0_7102]) ).
cnf(refute_0_7104,plain,
multiply(inverse(multiply(Y,inverse(multiply(X_256,Y)))),multiply(commutator(Y,X_256),X_257)) = multiply(X_256,multiply(commutator(Y,X_256),X_257)),
inference(resolve,[$cnf( $equal(inverse(multiply(Y,inverse(multiply(X_256,Y)))),X_256) )],[refute_0_7100,refute_0_7103]) ).
cnf(refute_0_7105,plain,
( multiply(commutator(Y,X_256),multiply(X_256,X_257)) != multiply(inverse(multiply(Y,inverse(multiply(X_256,Y)))),multiply(commutator(Y,X_256),X_257))
| multiply(inverse(multiply(Y,inverse(multiply(X_256,Y)))),multiply(commutator(Y,X_256),X_257)) != multiply(X_256,multiply(commutator(Y,X_256),X_257))
| multiply(commutator(Y,X_256),multiply(X_256,X_257)) = multiply(X_256,multiply(commutator(Y,X_256),X_257)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(commutator(Y,X_256),multiply(X_256,X_257)),multiply(X_256,multiply(commutator(Y,X_256),X_257))) ),[0],$fot(multiply(inverse(multiply(Y,inverse(multiply(X_256,Y)))),multiply(commutator(Y,X_256),X_257)))]]) ).
cnf(refute_0_7106,plain,
( multiply(commutator(Y,X_256),multiply(X_256,X_257)) != multiply(inverse(multiply(Y,inverse(multiply(X_256,Y)))),multiply(commutator(Y,X_256),X_257))
| multiply(commutator(Y,X_256),multiply(X_256,X_257)) = multiply(X_256,multiply(commutator(Y,X_256),X_257)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(Y,inverse(multiply(X_256,Y)))),multiply(commutator(Y,X_256),X_257)),multiply(X_256,multiply(commutator(Y,X_256),X_257))) )],[refute_0_7104,refute_0_7105]) ).
cnf(refute_0_7107,plain,
( multiply(commutator(inverse(multiply(X_256,Y)),Y),multiply(X_256,X_257)) != multiply(inverse(multiply(Y,inverse(multiply(X_256,Y)))),multiply(commutator(Y,X_256),X_257))
| multiply(commutator(Y,X_256),multiply(X_256,X_257)) = multiply(X_256,multiply(commutator(Y,X_256),X_257)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(Y,X_256),multiply(X_256,X_257)),multiply(inverse(multiply(Y,inverse(multiply(X_256,Y)))),multiply(commutator(Y,X_256),X_257))) )],[refute_0_7083,refute_0_7106]) ).
cnf(refute_0_7108,plain,
multiply(commutator(Y,X_256),multiply(X_256,X_257)) = multiply(X_256,multiply(commutator(Y,X_256),X_257)),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(multiply(X_256,Y)),Y),multiply(X_256,X_257)),multiply(inverse(multiply(Y,inverse(multiply(X_256,Y)))),multiply(commutator(Y,X_256),X_257))) )],[refute_0_7072,refute_0_7107]) ).
cnf(refute_0_7109,plain,
multiply(commutator(X_257,X_256),multiply(X_256,X_257)) = multiply(X_256,multiply(commutator(X_257,X_256),X_257)),
inference(subst,[],[refute_0_7108:[bind(Y,$fot(X_257))]]) ).
cnf(refute_0_7110,plain,
( multiply(X_256,multiply(commutator(X_257,X_256),X_257)) != multiply(X_257,X_256)
| multiply(commutator(X_257,X_256),multiply(X_256,X_257)) != multiply(X_256,multiply(commutator(X_257,X_256),X_257))
| multiply(commutator(X_257,X_256),multiply(X_256,X_257)) = multiply(X_257,X_256) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_257,X_256),multiply(X_256,X_257)))),bind(Y0,$fot(multiply(X_256,multiply(commutator(X_257,X_256),X_257)))),bind(Z0,$fot(multiply(X_257,X_256)))]]) ).
cnf(refute_0_7111,plain,
( multiply(X_256,multiply(commutator(X_257,X_256),X_257)) != multiply(X_257,X_256)
| multiply(commutator(X_257,X_256),multiply(X_256,X_257)) = multiply(X_257,X_256) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_257,X_256),multiply(X_256,X_257)),multiply(X_256,multiply(commutator(X_257,X_256),X_257))) )],[refute_0_7109,refute_0_7110]) ).
cnf(refute_0_7112,plain,
multiply(commutator(X_257,X_256),multiply(X_256,X_257)) = multiply(X_257,X_256),
inference(resolve,[$cnf( $equal(multiply(X_256,multiply(commutator(X_257,X_256),X_257)),multiply(X_257,X_256)) )],[refute_0_7065,refute_0_7111]) ).
cnf(refute_0_7113,plain,
multiply(X_256,multiply(commutator(X_257,X_256),multiply(X_256,X_257))) = multiply(X_256,multiply(commutator(X_257,X_256),multiply(X_256,X_257))),
introduced(tautology,[refl,[$fot(multiply(X_256,multiply(commutator(X_257,X_256),multiply(X_256,X_257))))]]) ).
cnf(refute_0_7114,plain,
( multiply(X_256,multiply(commutator(X_257,X_256),multiply(X_256,X_257))) != multiply(X_256,multiply(commutator(X_257,X_256),multiply(X_256,X_257)))
| multiply(commutator(X_257,X_256),multiply(X_256,X_257)) != multiply(X_257,X_256)
| multiply(X_256,multiply(commutator(X_257,X_256),multiply(X_256,X_257))) = multiply(X_256,multiply(X_257,X_256)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_256,multiply(commutator(X_257,X_256),multiply(X_256,X_257))),multiply(X_256,multiply(commutator(X_257,X_256),multiply(X_256,X_257)))) ),[1,1],$fot(multiply(X_257,X_256))]]) ).
cnf(refute_0_7115,plain,
( multiply(commutator(X_257,X_256),multiply(X_256,X_257)) != multiply(X_257,X_256)
| multiply(X_256,multiply(commutator(X_257,X_256),multiply(X_256,X_257))) = multiply(X_256,multiply(X_257,X_256)) ),
inference(resolve,[$cnf( $equal(multiply(X_256,multiply(commutator(X_257,X_256),multiply(X_256,X_257))),multiply(X_256,multiply(commutator(X_257,X_256),multiply(X_256,X_257)))) )],[refute_0_7113,refute_0_7114]) ).
cnf(refute_0_7116,plain,
multiply(X_256,multiply(commutator(X_257,X_256),multiply(X_256,X_257))) = multiply(X_256,multiply(X_257,X_256)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_257,X_256),multiply(X_256,X_257)),multiply(X_257,X_256)) )],[refute_0_7112,refute_0_7115]) ).
cnf(refute_0_7117,plain,
multiply(commutator(X_257,X_256),multiply(X_256,multiply(X_256,X_257))) = multiply(X_256,multiply(commutator(X_257,X_256),multiply(X_256,X_257))),
inference(subst,[],[refute_0_7108:[bind(Y,$fot(X_257)),bind(X_257,$fot(multiply(X_256,X_257)))]]) ).
cnf(refute_0_7118,plain,
( multiply(X_256,multiply(commutator(X_257,X_256),multiply(X_256,X_257))) != multiply(X_256,multiply(X_257,X_256))
| multiply(commutator(X_257,X_256),multiply(X_256,multiply(X_256,X_257))) != multiply(X_256,multiply(commutator(X_257,X_256),multiply(X_256,X_257)))
| multiply(commutator(X_257,X_256),multiply(X_256,multiply(X_256,X_257))) = multiply(X_256,multiply(X_257,X_256)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_257,X_256),multiply(X_256,multiply(X_256,X_257))))),bind(Y0,$fot(multiply(X_256,multiply(commutator(X_257,X_256),multiply(X_256,X_257))))),bind(Z0,$fot(multiply(X_256,multiply(X_257,X_256))))]]) ).
cnf(refute_0_7119,plain,
( multiply(X_256,multiply(commutator(X_257,X_256),multiply(X_256,X_257))) != multiply(X_256,multiply(X_257,X_256))
| multiply(commutator(X_257,X_256),multiply(X_256,multiply(X_256,X_257))) = multiply(X_256,multiply(X_257,X_256)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_257,X_256),multiply(X_256,multiply(X_256,X_257))),multiply(X_256,multiply(commutator(X_257,X_256),multiply(X_256,X_257)))) )],[refute_0_7117,refute_0_7118]) ).
cnf(refute_0_7120,plain,
multiply(commutator(X_257,X_256),multiply(X_256,multiply(X_256,X_257))) = multiply(X_256,multiply(X_257,X_256)),
inference(resolve,[$cnf( $equal(multiply(X_256,multiply(commutator(X_257,X_256),multiply(X_256,X_257))),multiply(X_256,multiply(X_257,X_256))) )],[refute_0_7116,refute_0_7119]) ).
cnf(refute_0_7121,plain,
multiply(X_257,multiply(commutator(X_257,X_256),multiply(X_256,multiply(X_256,X_257)))) = multiply(X_257,multiply(commutator(X_257,X_256),multiply(X_256,multiply(X_256,X_257)))),
introduced(tautology,[refl,[$fot(multiply(X_257,multiply(commutator(X_257,X_256),multiply(X_256,multiply(X_256,X_257)))))]]) ).
cnf(refute_0_7122,plain,
( multiply(X_257,multiply(commutator(X_257,X_256),multiply(X_256,multiply(X_256,X_257)))) != multiply(X_257,multiply(commutator(X_257,X_256),multiply(X_256,multiply(X_256,X_257))))
| multiply(commutator(X_257,X_256),multiply(X_256,multiply(X_256,X_257))) != multiply(X_256,multiply(X_257,X_256))
| multiply(X_257,multiply(commutator(X_257,X_256),multiply(X_256,multiply(X_256,X_257)))) = multiply(X_257,multiply(X_256,multiply(X_257,X_256))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_257,multiply(commutator(X_257,X_256),multiply(X_256,multiply(X_256,X_257)))),multiply(X_257,multiply(commutator(X_257,X_256),multiply(X_256,multiply(X_256,X_257))))) ),[1,1],$fot(multiply(X_256,multiply(X_257,X_256)))]]) ).
cnf(refute_0_7123,plain,
( multiply(commutator(X_257,X_256),multiply(X_256,multiply(X_256,X_257))) != multiply(X_256,multiply(X_257,X_256))
| multiply(X_257,multiply(commutator(X_257,X_256),multiply(X_256,multiply(X_256,X_257)))) = multiply(X_257,multiply(X_256,multiply(X_257,X_256))) ),
inference(resolve,[$cnf( $equal(multiply(X_257,multiply(commutator(X_257,X_256),multiply(X_256,multiply(X_256,X_257)))),multiply(X_257,multiply(commutator(X_257,X_256),multiply(X_256,multiply(X_256,X_257))))) )],[refute_0_7121,refute_0_7122]) ).
cnf(refute_0_7124,plain,
multiply(X_257,multiply(commutator(X_257,X_256),multiply(X_256,multiply(X_256,X_257)))) = multiply(X_257,multiply(X_256,multiply(X_257,X_256))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_257,X_256),multiply(X_256,multiply(X_256,X_257))),multiply(X_256,multiply(X_257,X_256))) )],[refute_0_7120,refute_0_7123]) ).
cnf(refute_0_7125,plain,
multiply(commutator(X_257,X_256),multiply(X_257,multiply(X_256,multiply(X_256,X_257)))) = multiply(X_257,multiply(commutator(X_257,X_256),multiply(X_256,multiply(X_256,X_257)))),
inference(subst,[],[refute_0_3327:[bind(Y,$fot(X_256)),bind(X_235,$fot(multiply(X_256,multiply(X_256,X_257)))),bind(X_236,$fot(X_257))]]) ).
cnf(refute_0_7126,plain,
( multiply(X_257,multiply(commutator(X_257,X_256),multiply(X_256,multiply(X_256,X_257)))) != multiply(X_257,multiply(X_256,multiply(X_257,X_256)))
| multiply(commutator(X_257,X_256),multiply(X_257,multiply(X_256,multiply(X_256,X_257)))) != multiply(X_257,multiply(commutator(X_257,X_256),multiply(X_256,multiply(X_256,X_257))))
| multiply(commutator(X_257,X_256),multiply(X_257,multiply(X_256,multiply(X_256,X_257)))) = multiply(X_257,multiply(X_256,multiply(X_257,X_256))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_257,X_256),multiply(X_257,multiply(X_256,multiply(X_256,X_257)))))),bind(Y0,$fot(multiply(X_257,multiply(commutator(X_257,X_256),multiply(X_256,multiply(X_256,X_257)))))),bind(Z0,$fot(multiply(X_257,multiply(X_256,multiply(X_257,X_256)))))]]) ).
cnf(refute_0_7127,plain,
( multiply(X_257,multiply(commutator(X_257,X_256),multiply(X_256,multiply(X_256,X_257)))) != multiply(X_257,multiply(X_256,multiply(X_257,X_256)))
| multiply(commutator(X_257,X_256),multiply(X_257,multiply(X_256,multiply(X_256,X_257)))) = multiply(X_257,multiply(X_256,multiply(X_257,X_256))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_257,X_256),multiply(X_257,multiply(X_256,multiply(X_256,X_257)))),multiply(X_257,multiply(commutator(X_257,X_256),multiply(X_256,multiply(X_256,X_257))))) )],[refute_0_7125,refute_0_7126]) ).
cnf(refute_0_7128,plain,
multiply(commutator(X_257,X_256),multiply(X_257,multiply(X_256,multiply(X_256,X_257)))) = multiply(X_257,multiply(X_256,multiply(X_257,X_256))),
inference(resolve,[$cnf( $equal(multiply(X_257,multiply(commutator(X_257,X_256),multiply(X_256,multiply(X_256,X_257)))),multiply(X_257,multiply(X_256,multiply(X_257,X_256)))) )],[refute_0_7124,refute_0_7127]) ).
cnf(refute_0_7129,plain,
inverse(inverse(multiply(X_256,multiply(X_256,X_257)))) = multiply(X_256,multiply(X_256,X_257)),
inference(subst,[],[refute_0_152:[bind(X_27,$fot(multiply(X_256,multiply(X_256,X_257))))]]) ).
cnf(refute_0_7130,plain,
multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257))))) = multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257))))),
introduced(tautology,[refl,[$fot(multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257))))))]]) ).
cnf(refute_0_7131,plain,
( multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257))))) != multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))
| inverse(inverse(multiply(X_256,multiply(X_256,X_257)))) != multiply(X_256,multiply(X_256,X_257))
| multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257))))) = multiply(X_257,multiply(X_256,multiply(X_256,X_257))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257))))),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))) ),[1,1],$fot(multiply(X_256,multiply(X_256,X_257)))]]) ).
cnf(refute_0_7132,plain,
( inverse(inverse(multiply(X_256,multiply(X_256,X_257)))) != multiply(X_256,multiply(X_256,X_257))
| multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257))))) = multiply(X_257,multiply(X_256,multiply(X_256,X_257))) ),
inference(resolve,[$cnf( $equal(multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257))))),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))) )],[refute_0_7130,refute_0_7131]) ).
cnf(refute_0_7133,plain,
multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257))))) = multiply(X_257,multiply(X_256,multiply(X_256,X_257))),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_256,multiply(X_256,X_257)))),multiply(X_256,multiply(X_256,X_257))) )],[refute_0_7129,refute_0_7132]) ).
cnf(refute_0_7134,plain,
multiply(commutator(X_257,X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))) = multiply(commutator(X_257,X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))),
introduced(tautology,[refl,[$fot(multiply(commutator(X_257,X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))))]]) ).
cnf(refute_0_7135,plain,
( multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257))))) != multiply(X_257,multiply(X_256,multiply(X_256,X_257)))
| multiply(commutator(X_257,X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))) != multiply(commutator(X_257,X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257))))))
| multiply(commutator(X_257,X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))) = multiply(commutator(X_257,X_256),multiply(X_257,multiply(X_256,multiply(X_256,X_257)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_257,X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))),multiply(commutator(X_257,X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257))))))) ),[1,1],$fot(multiply(X_257,multiply(X_256,multiply(X_256,X_257))))]]) ).
cnf(refute_0_7136,plain,
( multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257))))) != multiply(X_257,multiply(X_256,multiply(X_256,X_257)))
| multiply(commutator(X_257,X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))) = multiply(commutator(X_257,X_256),multiply(X_257,multiply(X_256,multiply(X_256,X_257)))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_257,X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))),multiply(commutator(X_257,X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257))))))) )],[refute_0_7134,refute_0_7135]) ).
cnf(refute_0_7137,plain,
multiply(commutator(X_257,X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))) = multiply(commutator(X_257,X_256),multiply(X_257,multiply(X_256,multiply(X_256,X_257)))),
inference(resolve,[$cnf( $equal(multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257))))),multiply(X_257,multiply(X_256,multiply(X_256,X_257)))) )],[refute_0_7133,refute_0_7136]) ).
cnf(refute_0_7138,plain,
commutator(multiply(X_256,X_257),X_256) = commutator(X_257,X_256),
inference(subst,[],[refute_0_951:[bind(Y,$fot(X_256)),bind(X_86,$fot(X_257))]]) ).
cnf(refute_0_7139,plain,
multiply(commutator(multiply(X_256,X_257),X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))) = multiply(commutator(multiply(X_256,X_257),X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))),
introduced(tautology,[refl,[$fot(multiply(commutator(multiply(X_256,X_257),X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))))]]) ).
cnf(refute_0_7140,plain,
( multiply(commutator(multiply(X_256,X_257),X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))) != multiply(commutator(multiply(X_256,X_257),X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257))))))
| commutator(multiply(X_256,X_257),X_256) != commutator(X_257,X_256)
| multiply(commutator(multiply(X_256,X_257),X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))) = multiply(commutator(X_257,X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(multiply(X_256,X_257),X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))),multiply(commutator(multiply(X_256,X_257),X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257))))))) ),[1,0],$fot(commutator(X_257,X_256))]]) ).
cnf(refute_0_7141,plain,
( commutator(multiply(X_256,X_257),X_256) != commutator(X_257,X_256)
| multiply(commutator(multiply(X_256,X_257),X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))) = multiply(commutator(X_257,X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_256,X_257),X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))),multiply(commutator(multiply(X_256,X_257),X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257))))))) )],[refute_0_7139,refute_0_7140]) ).
cnf(refute_0_7142,plain,
multiply(commutator(multiply(X_256,X_257),X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))) = multiply(commutator(X_257,X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_256,X_257),X_256),commutator(X_257,X_256)) )],[refute_0_7138,refute_0_7141]) ).
cnf(refute_0_7143,plain,
( multiply(commutator(X_257,X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))) != multiply(commutator(X_257,X_256),multiply(X_257,multiply(X_256,multiply(X_256,X_257))))
| multiply(commutator(multiply(X_256,X_257),X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))) != multiply(commutator(X_257,X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257))))))
| multiply(commutator(multiply(X_256,X_257),X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))) = multiply(commutator(X_257,X_256),multiply(X_257,multiply(X_256,multiply(X_256,X_257)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(multiply(X_256,X_257),X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))))),bind(Y0,$fot(multiply(commutator(X_257,X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))))),bind(Z0,$fot(multiply(commutator(X_257,X_256),multiply(X_257,multiply(X_256,multiply(X_256,X_257))))))]]) ).
cnf(refute_0_7144,plain,
( multiply(commutator(X_257,X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))) != multiply(commutator(X_257,X_256),multiply(X_257,multiply(X_256,multiply(X_256,X_257))))
| multiply(commutator(multiply(X_256,X_257),X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))) = multiply(commutator(X_257,X_256),multiply(X_257,multiply(X_256,multiply(X_256,X_257)))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_256,X_257),X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))),multiply(commutator(X_257,X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257))))))) )],[refute_0_7142,refute_0_7143]) ).
cnf(refute_0_7145,plain,
multiply(commutator(multiply(X_256,X_257),X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))) = multiply(commutator(X_257,X_256),multiply(X_257,multiply(X_256,multiply(X_256,X_257)))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_257,X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))),multiply(commutator(X_257,X_256),multiply(X_257,multiply(X_256,multiply(X_256,X_257))))) )],[refute_0_7137,refute_0_7144]) ).
cnf(refute_0_7146,plain,
( multiply(commutator(X_257,X_256),multiply(X_257,multiply(X_256,multiply(X_256,X_257)))) != multiply(X_257,multiply(X_256,multiply(X_257,X_256)))
| multiply(commutator(multiply(X_256,X_257),X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))) != multiply(commutator(X_257,X_256),multiply(X_257,multiply(X_256,multiply(X_256,X_257))))
| multiply(commutator(multiply(X_256,X_257),X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))) = multiply(X_257,multiply(X_256,multiply(X_257,X_256))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(multiply(X_256,X_257),X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))))),bind(Y0,$fot(multiply(commutator(X_257,X_256),multiply(X_257,multiply(X_256,multiply(X_256,X_257)))))),bind(Z0,$fot(multiply(X_257,multiply(X_256,multiply(X_257,X_256)))))]]) ).
cnf(refute_0_7147,plain,
( multiply(commutator(X_257,X_256),multiply(X_257,multiply(X_256,multiply(X_256,X_257)))) != multiply(X_257,multiply(X_256,multiply(X_257,X_256)))
| multiply(commutator(multiply(X_256,X_257),X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))) = multiply(X_257,multiply(X_256,multiply(X_257,X_256))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_256,X_257),X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))),multiply(commutator(X_257,X_256),multiply(X_257,multiply(X_256,multiply(X_256,X_257))))) )],[refute_0_7145,refute_0_7146]) ).
cnf(refute_0_7148,plain,
multiply(commutator(multiply(X_256,X_257),X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))) = multiply(X_257,multiply(X_256,multiply(X_257,X_256))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_257,X_256),multiply(X_257,multiply(X_256,multiply(X_256,X_257)))),multiply(X_257,multiply(X_256,multiply(X_257,X_256)))) )],[refute_0_7128,refute_0_7147]) ).
cnf(refute_0_7149,plain,
multiply(multiply(commutator(multiply(X_256,X_257),X_256),X_257),inverse(inverse(multiply(X_256,multiply(X_256,X_257))))) = multiply(commutator(multiply(X_256,X_257),X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))),
inference(subst,[],[associativity:[bind(X,$fot(commutator(multiply(X_256,X_257),X_256))),bind(Y,$fot(X_257)),bind(Z,$fot(inverse(inverse(multiply(X_256,multiply(X_256,X_257))))))]]) ).
cnf(refute_0_7150,plain,
( multiply(multiply(commutator(multiply(X_256,X_257),X_256),X_257),inverse(inverse(multiply(X_256,multiply(X_256,X_257))))) != multiply(commutator(multiply(X_256,X_257),X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257))))))
| multiply(commutator(multiply(X_256,X_257),X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))) != multiply(X_257,multiply(X_256,multiply(X_257,X_256)))
| multiply(multiply(commutator(multiply(X_256,X_257),X_256),X_257),inverse(inverse(multiply(X_256,multiply(X_256,X_257))))) = multiply(X_257,multiply(X_256,multiply(X_257,X_256))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(commutator(multiply(X_256,X_257),X_256),X_257),inverse(inverse(multiply(X_256,multiply(X_256,X_257))))))),bind(Y0,$fot(multiply(commutator(multiply(X_256,X_257),X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))))),bind(Z0,$fot(multiply(X_257,multiply(X_256,multiply(X_257,X_256)))))]]) ).
cnf(refute_0_7151,plain,
( multiply(commutator(multiply(X_256,X_257),X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))) != multiply(X_257,multiply(X_256,multiply(X_257,X_256)))
| multiply(multiply(commutator(multiply(X_256,X_257),X_256),X_257),inverse(inverse(multiply(X_256,multiply(X_256,X_257))))) = multiply(X_257,multiply(X_256,multiply(X_257,X_256))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(commutator(multiply(X_256,X_257),X_256),X_257),inverse(inverse(multiply(X_256,multiply(X_256,X_257))))),multiply(commutator(multiply(X_256,X_257),X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257))))))) )],[refute_0_7149,refute_0_7150]) ).
cnf(refute_0_7152,plain,
multiply(multiply(commutator(multiply(X_256,X_257),X_256),X_257),inverse(inverse(multiply(X_256,multiply(X_256,X_257))))) = multiply(X_257,multiply(X_256,multiply(X_257,X_256))),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_256,X_257),X_256),multiply(X_257,inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))),multiply(X_257,multiply(X_256,multiply(X_257,X_256)))) )],[refute_0_7148,refute_0_7151]) ).
cnf(refute_0_7153,plain,
commutator(multiply(X_256,multiply(X_256,X_257)),multiply(multiply(commutator(multiply(X_256,X_257),X_256),X_257),inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))) = commutator(multiply(X_256,multiply(X_256,X_257)),multiply(multiply(commutator(multiply(X_256,X_257),X_256),X_257),inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))),
introduced(tautology,[refl,[$fot(commutator(multiply(X_256,multiply(X_256,X_257)),multiply(multiply(commutator(multiply(X_256,X_257),X_256),X_257),inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))))]]) ).
cnf(refute_0_7154,plain,
( multiply(multiply(commutator(multiply(X_256,X_257),X_256),X_257),inverse(inverse(multiply(X_256,multiply(X_256,X_257))))) != multiply(X_257,multiply(X_256,multiply(X_257,X_256)))
| commutator(multiply(X_256,multiply(X_256,X_257)),multiply(multiply(commutator(multiply(X_256,X_257),X_256),X_257),inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))) != commutator(multiply(X_256,multiply(X_256,X_257)),multiply(multiply(commutator(multiply(X_256,X_257),X_256),X_257),inverse(inverse(multiply(X_256,multiply(X_256,X_257))))))
| commutator(multiply(X_256,multiply(X_256,X_257)),multiply(multiply(commutator(multiply(X_256,X_257),X_256),X_257),inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))) = commutator(multiply(X_256,multiply(X_256,X_257)),multiply(X_257,multiply(X_256,multiply(X_257,X_256)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_256,multiply(X_256,X_257)),multiply(multiply(commutator(multiply(X_256,X_257),X_256),X_257),inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))),commutator(multiply(X_256,multiply(X_256,X_257)),multiply(multiply(commutator(multiply(X_256,X_257),X_256),X_257),inverse(inverse(multiply(X_256,multiply(X_256,X_257))))))) ),[1,1],$fot(multiply(X_257,multiply(X_256,multiply(X_257,X_256))))]]) ).
cnf(refute_0_7155,plain,
( multiply(multiply(commutator(multiply(X_256,X_257),X_256),X_257),inverse(inverse(multiply(X_256,multiply(X_256,X_257))))) != multiply(X_257,multiply(X_256,multiply(X_257,X_256)))
| commutator(multiply(X_256,multiply(X_256,X_257)),multiply(multiply(commutator(multiply(X_256,X_257),X_256),X_257),inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))) = commutator(multiply(X_256,multiply(X_256,X_257)),multiply(X_257,multiply(X_256,multiply(X_257,X_256)))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_256,multiply(X_256,X_257)),multiply(multiply(commutator(multiply(X_256,X_257),X_256),X_257),inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))),commutator(multiply(X_256,multiply(X_256,X_257)),multiply(multiply(commutator(multiply(X_256,X_257),X_256),X_257),inverse(inverse(multiply(X_256,multiply(X_256,X_257))))))) )],[refute_0_7153,refute_0_7154]) ).
cnf(refute_0_7156,plain,
commutator(multiply(X_256,multiply(X_256,X_257)),multiply(multiply(commutator(multiply(X_256,X_257),X_256),X_257),inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))) = commutator(multiply(X_256,multiply(X_256,X_257)),multiply(X_257,multiply(X_256,multiply(X_257,X_256)))),
inference(resolve,[$cnf( $equal(multiply(multiply(commutator(multiply(X_256,X_257),X_256),X_257),inverse(inverse(multiply(X_256,multiply(X_256,X_257))))),multiply(X_257,multiply(X_256,multiply(X_257,X_256)))) )],[refute_0_7152,refute_0_7155]) ).
cnf(refute_0_7157,plain,
commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))),multiply(X_256,multiply(X_256,X_257))) = commutator(multiply(X_256,multiply(X_256,X_257)),multiply(multiply(commutator(multiply(X_256,X_257),X_256),X_257),inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))),
inference(subst,[],[refute_0_2366:[bind(X_10,$fot(multiply(X_256,multiply(X_256,X_257)))),bind(X_171,$fot(multiply(commutator(multiply(X_256,X_257),X_256),X_257))),bind(X_173,$fot(inverse(multiply(X_256,multiply(X_256,X_257)))))]]) ).
cnf(refute_0_7158,plain,
commutator(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257)))) = commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))),multiply(X_256,multiply(X_256,X_257))),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(multiply(X_256,multiply(X_256,X_257)))),bind(X_110,$fot(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257)))))]]) ).
cnf(refute_0_7159,plain,
( commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))),multiply(X_256,multiply(X_256,X_257))) != commutator(multiply(X_256,multiply(X_256,X_257)),multiply(multiply(commutator(multiply(X_256,X_257),X_256),X_257),inverse(inverse(multiply(X_256,multiply(X_256,X_257))))))
| commutator(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257)))) != commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))),multiply(X_256,multiply(X_256,X_257)))
| commutator(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257)))) = commutator(multiply(X_256,multiply(X_256,X_257)),multiply(multiply(commutator(multiply(X_256,X_257),X_256),X_257),inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257)))))),bind(Y0,$fot(commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))),multiply(X_256,multiply(X_256,X_257))))),bind(Z0,$fot(commutator(multiply(X_256,multiply(X_256,X_257)),multiply(multiply(commutator(multiply(X_256,X_257),X_256),X_257),inverse(inverse(multiply(X_256,multiply(X_256,X_257))))))))]]) ).
cnf(refute_0_7160,plain,
( commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))),multiply(X_256,multiply(X_256,X_257))) != commutator(multiply(X_256,multiply(X_256,X_257)),multiply(multiply(commutator(multiply(X_256,X_257),X_256),X_257),inverse(inverse(multiply(X_256,multiply(X_256,X_257))))))
| commutator(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257)))) = commutator(multiply(X_256,multiply(X_256,X_257)),multiply(multiply(commutator(multiply(X_256,X_257),X_256),X_257),inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257)))),commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))),multiply(X_256,multiply(X_256,X_257)))) )],[refute_0_7158,refute_0_7159]) ).
cnf(refute_0_7161,plain,
commutator(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257)))) = commutator(multiply(X_256,multiply(X_256,X_257)),multiply(multiply(commutator(multiply(X_256,X_257),X_256),X_257),inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))),multiply(X_256,multiply(X_256,X_257))),commutator(multiply(X_256,multiply(X_256,X_257)),multiply(multiply(commutator(multiply(X_256,X_257),X_256),X_257),inverse(inverse(multiply(X_256,multiply(X_256,X_257))))))) )],[refute_0_7157,refute_0_7160]) ).
cnf(refute_0_7162,plain,
( commutator(multiply(X_256,multiply(X_256,X_257)),multiply(multiply(commutator(multiply(X_256,X_257),X_256),X_257),inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))) != commutator(multiply(X_256,multiply(X_256,X_257)),multiply(X_257,multiply(X_256,multiply(X_257,X_256))))
| commutator(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257)))) != commutator(multiply(X_256,multiply(X_256,X_257)),multiply(multiply(commutator(multiply(X_256,X_257),X_256),X_257),inverse(inverse(multiply(X_256,multiply(X_256,X_257))))))
| commutator(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257)))) = commutator(multiply(X_256,multiply(X_256,X_257)),multiply(X_257,multiply(X_256,multiply(X_257,X_256)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257)))))),bind(Y0,$fot(commutator(multiply(X_256,multiply(X_256,X_257)),multiply(multiply(commutator(multiply(X_256,X_257),X_256),X_257),inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))))),bind(Z0,$fot(commutator(multiply(X_256,multiply(X_256,X_257)),multiply(X_257,multiply(X_256,multiply(X_257,X_256))))))]]) ).
cnf(refute_0_7163,plain,
( commutator(multiply(X_256,multiply(X_256,X_257)),multiply(multiply(commutator(multiply(X_256,X_257),X_256),X_257),inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))) != commutator(multiply(X_256,multiply(X_256,X_257)),multiply(X_257,multiply(X_256,multiply(X_257,X_256))))
| commutator(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257)))) = commutator(multiply(X_256,multiply(X_256,X_257)),multiply(X_257,multiply(X_256,multiply(X_257,X_256)))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257)))),commutator(multiply(X_256,multiply(X_256,X_257)),multiply(multiply(commutator(multiply(X_256,X_257),X_256),X_257),inverse(inverse(multiply(X_256,multiply(X_256,X_257))))))) )],[refute_0_7161,refute_0_7162]) ).
cnf(refute_0_7164,plain,
commutator(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257)))) = commutator(multiply(X_256,multiply(X_256,X_257)),multiply(X_257,multiply(X_256,multiply(X_257,X_256)))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_256,multiply(X_256,X_257)),multiply(multiply(commutator(multiply(X_256,X_257),X_256),X_257),inverse(inverse(multiply(X_256,multiply(X_256,X_257)))))),commutator(multiply(X_256,multiply(X_256,X_257)),multiply(X_257,multiply(X_256,multiply(X_257,X_256))))) )],[refute_0_7156,refute_0_7163]) ).
cnf(refute_0_7165,plain,
commutator(multiply(X_256,X_257),commutator(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))))) = commutator(multiply(X_256,X_257),commutator(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))))),
introduced(tautology,[refl,[$fot(commutator(multiply(X_256,X_257),commutator(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))))))]]) ).
cnf(refute_0_7166,plain,
( commutator(multiply(X_256,X_257),commutator(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))))) != commutator(multiply(X_256,X_257),commutator(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257)))))
| commutator(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257)))) != commutator(multiply(X_256,multiply(X_256,X_257)),multiply(X_257,multiply(X_256,multiply(X_257,X_256))))
| commutator(multiply(X_256,X_257),commutator(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))))) = commutator(multiply(X_256,X_257),commutator(multiply(X_256,multiply(X_256,X_257)),multiply(X_257,multiply(X_256,multiply(X_257,X_256))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_256,X_257),commutator(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))))),commutator(multiply(X_256,X_257),commutator(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257)))))) ),[1,1],$fot(commutator(multiply(X_256,multiply(X_256,X_257)),multiply(X_257,multiply(X_256,multiply(X_257,X_256)))))]]) ).
cnf(refute_0_7167,plain,
( commutator(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257)))) != commutator(multiply(X_256,multiply(X_256,X_257)),multiply(X_257,multiply(X_256,multiply(X_257,X_256))))
| commutator(multiply(X_256,X_257),commutator(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))))) = commutator(multiply(X_256,X_257),commutator(multiply(X_256,multiply(X_256,X_257)),multiply(X_257,multiply(X_256,multiply(X_257,X_256))))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_256,X_257),commutator(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))))),commutator(multiply(X_256,X_257),commutator(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257)))))) )],[refute_0_7165,refute_0_7166]) ).
cnf(refute_0_7168,plain,
commutator(multiply(X_256,X_257),commutator(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))))) = commutator(multiply(X_256,X_257),commutator(multiply(X_256,multiply(X_256,X_257)),multiply(X_257,multiply(X_256,multiply(X_257,X_256))))),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257)))),commutator(multiply(X_256,multiply(X_256,X_257)),multiply(X_257,multiply(X_256,multiply(X_257,X_256))))) )],[refute_0_7164,refute_0_7167]) ).
cnf(refute_0_7169,plain,
commutator(multiply(X_256,X_257),commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))),inverse(multiply(X_256,multiply(X_256,X_257))))) = commutator(multiply(X_256,X_257),commutator(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))))),
inference(subst,[],[refute_0_1952:[bind(X_136,$fot(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))))),bind(X_217,$fot(inverse(multiply(X_256,multiply(X_256,X_257))))),bind(X_218,$fot(multiply(X_256,X_257)))]]) ).
cnf(refute_0_7170,plain,
multiply(X_90,multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90))) = multiply(commutator(X_217,commutator(X_218,X_90)),commutator(X_90,commutator(X_217,commutator(X_218,X_90)))),
inference(subst,[],[refute_0_933:[bind(X_10,$fot(commutator(X_217,commutator(X_218,X_90))))]]) ).
cnf(refute_0_7171,plain,
commutator(X_90,commutator(X_217,commutator(X_218,X_90))) = identity,
inference(subst,[],[refute_0_1890:[bind(X,$fot(X_217)),bind(Y,$fot(X_218)),bind(X_70,$fot(X_90))]]) ).
cnf(refute_0_7172,plain,
( multiply(X_90,multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90))) != multiply(commutator(X_217,commutator(X_218,X_90)),commutator(X_90,commutator(X_217,commutator(X_218,X_90))))
| commutator(X_90,commutator(X_217,commutator(X_218,X_90))) != identity
| multiply(X_90,multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90))) = multiply(commutator(X_217,commutator(X_218,X_90)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_90,multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90))),multiply(commutator(X_217,commutator(X_218,X_90)),commutator(X_90,commutator(X_217,commutator(X_218,X_90))))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_7173,plain,
( multiply(X_90,multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90))) != multiply(commutator(X_217,commutator(X_218,X_90)),commutator(X_90,commutator(X_217,commutator(X_218,X_90))))
| multiply(X_90,multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90))) = multiply(commutator(X_217,commutator(X_218,X_90)),identity) ),
inference(resolve,[$cnf( $equal(commutator(X_90,commutator(X_217,commutator(X_218,X_90))),identity) )],[refute_0_7171,refute_0_7172]) ).
cnf(refute_0_7174,plain,
multiply(X_90,multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90))) = multiply(commutator(X_217,commutator(X_218,X_90)),identity),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90))),multiply(commutator(X_217,commutator(X_218,X_90)),commutator(X_90,commutator(X_217,commutator(X_218,X_90))))) )],[refute_0_7170,refute_0_7173]) ).
cnf(refute_0_7175,plain,
multiply(commutator(X_136,commutator(X_214,commutator(X_136,X_216))),multiply(X_136,inverse(multiply(X_136,commutator(X_214,commutator(X_136,X_216)))))) = inverse(commutator(X_214,commutator(X_136,X_216))),
inference(subst,[],[refute_0_1884:[bind(X_10,$fot(commutator(X_214,commutator(X_136,X_216))))]]) ).
cnf(refute_0_7176,plain,
commutator(X_136,commutator(X_214,commutator(X_136,X_216))) = identity,
inference(subst,[],[refute_0_2079:[bind(X,$fot(X_214)),bind(Y,$fot(X_136)),bind(X_69,$fot(X_216))]]) ).
cnf(refute_0_7177,plain,
( multiply(commutator(X_136,commutator(X_214,commutator(X_136,X_216))),multiply(X_136,inverse(multiply(X_136,commutator(X_214,commutator(X_136,X_216)))))) != inverse(commutator(X_214,commutator(X_136,X_216)))
| commutator(X_136,commutator(X_214,commutator(X_136,X_216))) != identity
| multiply(identity,multiply(X_136,inverse(multiply(X_136,commutator(X_214,commutator(X_136,X_216)))))) = inverse(commutator(X_214,commutator(X_136,X_216))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_136,commutator(X_214,commutator(X_136,X_216))),multiply(X_136,inverse(multiply(X_136,commutator(X_214,commutator(X_136,X_216)))))),inverse(commutator(X_214,commutator(X_136,X_216)))) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_7178,plain,
( multiply(commutator(X_136,commutator(X_214,commutator(X_136,X_216))),multiply(X_136,inverse(multiply(X_136,commutator(X_214,commutator(X_136,X_216)))))) != inverse(commutator(X_214,commutator(X_136,X_216)))
| multiply(identity,multiply(X_136,inverse(multiply(X_136,commutator(X_214,commutator(X_136,X_216)))))) = inverse(commutator(X_214,commutator(X_136,X_216))) ),
inference(resolve,[$cnf( $equal(commutator(X_136,commutator(X_214,commutator(X_136,X_216))),identity) )],[refute_0_7176,refute_0_7177]) ).
cnf(refute_0_7179,plain,
multiply(identity,multiply(X_136,inverse(multiply(X_136,commutator(X_214,commutator(X_136,X_216)))))) = inverse(commutator(X_214,commutator(X_136,X_216))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_136,commutator(X_214,commutator(X_136,X_216))),multiply(X_136,inverse(multiply(X_136,commutator(X_214,commutator(X_136,X_216)))))),inverse(commutator(X_214,commutator(X_136,X_216)))) )],[refute_0_7175,refute_0_7178]) ).
cnf(refute_0_7180,plain,
multiply(identity,multiply(X_136,inverse(multiply(X_136,commutator(X_214,commutator(X_136,X_216)))))) = multiply(X_136,inverse(multiply(X_136,commutator(X_214,commutator(X_136,X_216))))),
inference(subst,[],[left_identity:[bind(X,$fot(multiply(X_136,inverse(multiply(X_136,commutator(X_214,commutator(X_136,X_216)))))))]]) ).
cnf(refute_0_7181,plain,
( multiply(identity,multiply(X_136,inverse(multiply(X_136,commutator(X_214,commutator(X_136,X_216)))))) != multiply(X_136,inverse(multiply(X_136,commutator(X_214,commutator(X_136,X_216)))))
| multiply(identity,multiply(X_136,inverse(multiply(X_136,commutator(X_214,commutator(X_136,X_216)))))) != inverse(commutator(X_214,commutator(X_136,X_216)))
| multiply(X_136,inverse(multiply(X_136,commutator(X_214,commutator(X_136,X_216))))) = inverse(commutator(X_214,commutator(X_136,X_216))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,multiply(X_136,inverse(multiply(X_136,commutator(X_214,commutator(X_136,X_216)))))),inverse(commutator(X_214,commutator(X_136,X_216)))) ),[0],$fot(multiply(X_136,inverse(multiply(X_136,commutator(X_214,commutator(X_136,X_216))))))]]) ).
cnf(refute_0_7182,plain,
( multiply(identity,multiply(X_136,inverse(multiply(X_136,commutator(X_214,commutator(X_136,X_216)))))) != inverse(commutator(X_214,commutator(X_136,X_216)))
| multiply(X_136,inverse(multiply(X_136,commutator(X_214,commutator(X_136,X_216))))) = inverse(commutator(X_214,commutator(X_136,X_216))) ),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(X_136,inverse(multiply(X_136,commutator(X_214,commutator(X_136,X_216)))))),multiply(X_136,inverse(multiply(X_136,commutator(X_214,commutator(X_136,X_216)))))) )],[refute_0_7180,refute_0_7181]) ).
cnf(refute_0_7183,plain,
commutator(commutator(X_136,X_216),X_214) = commutator(X_136,commutator(X_216,X_214)),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(X_136)),bind(Y,$fot(X_216)),bind(Z,$fot(X_214))]]) ).
cnf(refute_0_7184,plain,
inverse(commutator(X_214,commutator(X_136,X_216))) = commutator(commutator(X_136,X_216),X_214),
inference(subst,[],[refute_0_386:[bind(X,$fot(commutator(X_136,X_216))),bind(Y,$fot(X_214))]]) ).
cnf(refute_0_7185,plain,
( commutator(commutator(X_136,X_216),X_214) != commutator(X_136,commutator(X_216,X_214))
| inverse(commutator(X_214,commutator(X_136,X_216))) != commutator(commutator(X_136,X_216),X_214)
| inverse(commutator(X_214,commutator(X_136,X_216))) = commutator(X_136,commutator(X_216,X_214)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(commutator(X_214,commutator(X_136,X_216))))),bind(Y0,$fot(commutator(commutator(X_136,X_216),X_214))),bind(Z0,$fot(commutator(X_136,commutator(X_216,X_214))))]]) ).
cnf(refute_0_7186,plain,
( commutator(commutator(X_136,X_216),X_214) != commutator(X_136,commutator(X_216,X_214))
| inverse(commutator(X_214,commutator(X_136,X_216))) = commutator(X_136,commutator(X_216,X_214)) ),
inference(resolve,[$cnf( $equal(inverse(commutator(X_214,commutator(X_136,X_216))),commutator(commutator(X_136,X_216),X_214)) )],[refute_0_7184,refute_0_7185]) ).
cnf(refute_0_7187,plain,
inverse(commutator(X_214,commutator(X_136,X_216))) = commutator(X_136,commutator(X_216,X_214)),
inference(resolve,[$cnf( $equal(commutator(commutator(X_136,X_216),X_214),commutator(X_136,commutator(X_216,X_214))) )],[refute_0_7183,refute_0_7186]) ).
cnf(refute_0_7188,plain,
( multiply(X_136,inverse(multiply(X_136,commutator(X_214,commutator(X_136,X_216))))) != inverse(commutator(X_214,commutator(X_136,X_216)))
| inverse(commutator(X_214,commutator(X_136,X_216))) != commutator(X_136,commutator(X_216,X_214))
| multiply(X_136,inverse(multiply(X_136,commutator(X_214,commutator(X_136,X_216))))) = commutator(X_136,commutator(X_216,X_214)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_136,inverse(multiply(X_136,commutator(X_214,commutator(X_136,X_216))))),commutator(X_136,commutator(X_216,X_214))) ),[0],$fot(inverse(commutator(X_214,commutator(X_136,X_216))))]]) ).
cnf(refute_0_7189,plain,
( multiply(X_136,inverse(multiply(X_136,commutator(X_214,commutator(X_136,X_216))))) != inverse(commutator(X_214,commutator(X_136,X_216)))
| multiply(X_136,inverse(multiply(X_136,commutator(X_214,commutator(X_136,X_216))))) = commutator(X_136,commutator(X_216,X_214)) ),
inference(resolve,[$cnf( $equal(inverse(commutator(X_214,commutator(X_136,X_216))),commutator(X_136,commutator(X_216,X_214))) )],[refute_0_7187,refute_0_7188]) ).
cnf(refute_0_7190,plain,
( multiply(identity,multiply(X_136,inverse(multiply(X_136,commutator(X_214,commutator(X_136,X_216)))))) != inverse(commutator(X_214,commutator(X_136,X_216)))
| multiply(X_136,inverse(multiply(X_136,commutator(X_214,commutator(X_136,X_216))))) = commutator(X_136,commutator(X_216,X_214)) ),
inference(resolve,[$cnf( $equal(multiply(X_136,inverse(multiply(X_136,commutator(X_214,commutator(X_136,X_216))))),inverse(commutator(X_214,commutator(X_136,X_216)))) )],[refute_0_7182,refute_0_7189]) ).
cnf(refute_0_7191,plain,
multiply(X_136,inverse(multiply(X_136,commutator(X_214,commutator(X_136,X_216))))) = commutator(X_136,commutator(X_216,X_214)),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(X_136,inverse(multiply(X_136,commutator(X_214,commutator(X_136,X_216)))))),inverse(commutator(X_214,commutator(X_136,X_216)))) )],[refute_0_7179,refute_0_7190]) ).
cnf(refute_0_7192,plain,
multiply(X_90,inverse(multiply(X_90,commutator(X_218,commutator(X_90,X_217))))) = commutator(X_90,commutator(X_217,X_218)),
inference(subst,[],[refute_0_7191:[bind(X_136,$fot(X_90)),bind(X_214,$fot(X_218)),bind(X_216,$fot(X_217))]]) ).
cnf(refute_0_7193,plain,
commutator(commutator(X_218,X_90),X_217) = commutator(X_218,commutator(X_90,X_217)),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(X_218)),bind(Y,$fot(X_90)),bind(Z,$fot(X_217))]]) ).
cnf(refute_0_7194,plain,
multiply(X_90,commutator(commutator(X_218,X_90),X_217)) = multiply(X_90,commutator(commutator(X_218,X_90),X_217)),
introduced(tautology,[refl,[$fot(multiply(X_90,commutator(commutator(X_218,X_90),X_217)))]]) ).
cnf(refute_0_7195,plain,
( multiply(X_90,commutator(commutator(X_218,X_90),X_217)) != multiply(X_90,commutator(commutator(X_218,X_90),X_217))
| commutator(commutator(X_218,X_90),X_217) != commutator(X_218,commutator(X_90,X_217))
| multiply(X_90,commutator(commutator(X_218,X_90),X_217)) = multiply(X_90,commutator(X_218,commutator(X_90,X_217))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_90,commutator(commutator(X_218,X_90),X_217)),multiply(X_90,commutator(commutator(X_218,X_90),X_217))) ),[1,1],$fot(commutator(X_218,commutator(X_90,X_217)))]]) ).
cnf(refute_0_7196,plain,
( commutator(commutator(X_218,X_90),X_217) != commutator(X_218,commutator(X_90,X_217))
| multiply(X_90,commutator(commutator(X_218,X_90),X_217)) = multiply(X_90,commutator(X_218,commutator(X_90,X_217))) ),
inference(resolve,[$cnf( $equal(multiply(X_90,commutator(commutator(X_218,X_90),X_217)),multiply(X_90,commutator(commutator(X_218,X_90),X_217))) )],[refute_0_7194,refute_0_7195]) ).
cnf(refute_0_7197,plain,
multiply(X_90,commutator(commutator(X_218,X_90),X_217)) = multiply(X_90,commutator(X_218,commutator(X_90,X_217))),
inference(resolve,[$cnf( $equal(commutator(commutator(X_218,X_90),X_217),commutator(X_218,commutator(X_90,X_217))) )],[refute_0_7193,refute_0_7196]) ).
cnf(refute_0_7198,plain,
inverse(multiply(X_90,commutator(commutator(X_218,X_90),X_217))) = inverse(multiply(X_90,commutator(commutator(X_218,X_90),X_217))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_90,commutator(commutator(X_218,X_90),X_217))))]]) ).
cnf(refute_0_7199,plain,
( multiply(X_90,commutator(commutator(X_218,X_90),X_217)) != multiply(X_90,commutator(X_218,commutator(X_90,X_217)))
| inverse(multiply(X_90,commutator(commutator(X_218,X_90),X_217))) != inverse(multiply(X_90,commutator(commutator(X_218,X_90),X_217)))
| inverse(multiply(X_90,commutator(commutator(X_218,X_90),X_217))) = inverse(multiply(X_90,commutator(X_218,commutator(X_90,X_217)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_90,commutator(commutator(X_218,X_90),X_217))),inverse(multiply(X_90,commutator(commutator(X_218,X_90),X_217)))) ),[1,0],$fot(multiply(X_90,commutator(X_218,commutator(X_90,X_217))))]]) ).
cnf(refute_0_7200,plain,
( multiply(X_90,commutator(commutator(X_218,X_90),X_217)) != multiply(X_90,commutator(X_218,commutator(X_90,X_217)))
| inverse(multiply(X_90,commutator(commutator(X_218,X_90),X_217))) = inverse(multiply(X_90,commutator(X_218,commutator(X_90,X_217)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_90,commutator(commutator(X_218,X_90),X_217))),inverse(multiply(X_90,commutator(commutator(X_218,X_90),X_217)))) )],[refute_0_7198,refute_0_7199]) ).
cnf(refute_0_7201,plain,
inverse(multiply(X_90,commutator(commutator(X_218,X_90),X_217))) = inverse(multiply(X_90,commutator(X_218,commutator(X_90,X_217)))),
inference(resolve,[$cnf( $equal(multiply(X_90,commutator(commutator(X_218,X_90),X_217)),multiply(X_90,commutator(X_218,commutator(X_90,X_217)))) )],[refute_0_7197,refute_0_7200]) ).
cnf(refute_0_7202,plain,
multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90)) = inverse(multiply(X_90,commutator(commutator(X_218,X_90),X_217))),
inference(subst,[],[refute_0_378:[bind(X_58,$fot(X_90)),bind(X_65,$fot(X_217)),bind(X_66,$fot(commutator(X_218,X_90)))]]) ).
cnf(refute_0_7203,plain,
( multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90)) != inverse(multiply(X_90,commutator(commutator(X_218,X_90),X_217)))
| inverse(multiply(X_90,commutator(commutator(X_218,X_90),X_217))) != inverse(multiply(X_90,commutator(X_218,commutator(X_90,X_217))))
| multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90)) = inverse(multiply(X_90,commutator(X_218,commutator(X_90,X_217)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90)))),bind(Y0,$fot(inverse(multiply(X_90,commutator(commutator(X_218,X_90),X_217))))),bind(Z0,$fot(inverse(multiply(X_90,commutator(X_218,commutator(X_90,X_217))))))]]) ).
cnf(refute_0_7204,plain,
( inverse(multiply(X_90,commutator(commutator(X_218,X_90),X_217))) != inverse(multiply(X_90,commutator(X_218,commutator(X_90,X_217))))
| multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90)) = inverse(multiply(X_90,commutator(X_218,commutator(X_90,X_217)))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90)),inverse(multiply(X_90,commutator(commutator(X_218,X_90),X_217)))) )],[refute_0_7202,refute_0_7203]) ).
cnf(refute_0_7205,plain,
multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90)) = inverse(multiply(X_90,commutator(X_218,commutator(X_90,X_217)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_90,commutator(commutator(X_218,X_90),X_217))),inverse(multiply(X_90,commutator(X_218,commutator(X_90,X_217))))) )],[refute_0_7201,refute_0_7204]) ).
cnf(refute_0_7206,plain,
multiply(X_90,multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90))) = multiply(X_90,multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90))),
introduced(tautology,[refl,[$fot(multiply(X_90,multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90))))]]) ).
cnf(refute_0_7207,plain,
( multiply(X_90,multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90))) != multiply(X_90,multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90)))
| multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90)) != inverse(multiply(X_90,commutator(X_218,commutator(X_90,X_217))))
| multiply(X_90,multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90))) = multiply(X_90,inverse(multiply(X_90,commutator(X_218,commutator(X_90,X_217))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_90,multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90))),multiply(X_90,multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90)))) ),[1,1],$fot(inverse(multiply(X_90,commutator(X_218,commutator(X_90,X_217)))))]]) ).
cnf(refute_0_7208,plain,
( multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90)) != inverse(multiply(X_90,commutator(X_218,commutator(X_90,X_217))))
| multiply(X_90,multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90))) = multiply(X_90,inverse(multiply(X_90,commutator(X_218,commutator(X_90,X_217))))) ),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90))),multiply(X_90,multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90)))) )],[refute_0_7206,refute_0_7207]) ).
cnf(refute_0_7209,plain,
multiply(X_90,multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90))) = multiply(X_90,inverse(multiply(X_90,commutator(X_218,commutator(X_90,X_217))))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90)),inverse(multiply(X_90,commutator(X_218,commutator(X_90,X_217))))) )],[refute_0_7205,refute_0_7208]) ).
cnf(refute_0_7210,plain,
( multiply(X_90,multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90))) != multiply(X_90,inverse(multiply(X_90,commutator(X_218,commutator(X_90,X_217)))))
| multiply(X_90,inverse(multiply(X_90,commutator(X_218,commutator(X_90,X_217))))) != commutator(X_90,commutator(X_217,X_218))
| multiply(X_90,multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90))) = commutator(X_90,commutator(X_217,X_218)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_90,multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90))))),bind(Y0,$fot(multiply(X_90,inverse(multiply(X_90,commutator(X_218,commutator(X_90,X_217))))))),bind(Z0,$fot(commutator(X_90,commutator(X_217,X_218))))]]) ).
cnf(refute_0_7211,plain,
( multiply(X_90,inverse(multiply(X_90,commutator(X_218,commutator(X_90,X_217))))) != commutator(X_90,commutator(X_217,X_218))
| multiply(X_90,multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90))) = commutator(X_90,commutator(X_217,X_218)) ),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90))),multiply(X_90,inverse(multiply(X_90,commutator(X_218,commutator(X_90,X_217)))))) )],[refute_0_7209,refute_0_7210]) ).
cnf(refute_0_7212,plain,
multiply(X_90,multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90))) = commutator(X_90,commutator(X_217,X_218)),
inference(resolve,[$cnf( $equal(multiply(X_90,inverse(multiply(X_90,commutator(X_218,commutator(X_90,X_217))))),commutator(X_90,commutator(X_217,X_218))) )],[refute_0_7192,refute_0_7211]) ).
cnf(refute_0_7213,plain,
( multiply(X_90,multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90))) != multiply(commutator(X_217,commutator(X_218,X_90)),identity)
| multiply(X_90,multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90))) != commutator(X_90,commutator(X_217,X_218))
| commutator(X_90,commutator(X_217,X_218)) = multiply(commutator(X_217,commutator(X_218,X_90)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_90,multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90))),multiply(commutator(X_217,commutator(X_218,X_90)),identity)) ),[0],$fot(commutator(X_90,commutator(X_217,X_218)))]]) ).
cnf(refute_0_7214,plain,
( multiply(X_90,multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90))) != multiply(commutator(X_217,commutator(X_218,X_90)),identity)
| commutator(X_90,commutator(X_217,X_218)) = multiply(commutator(X_217,commutator(X_218,X_90)),identity) ),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90))),commutator(X_90,commutator(X_217,X_218))) )],[refute_0_7212,refute_0_7213]) ).
cnf(refute_0_7215,plain,
multiply(commutator(X_217,commutator(X_218,X_90)),identity) = commutator(X_217,commutator(X_218,X_90)),
inference(subst,[],[refute_0_100:[bind(X_16,$fot(commutator(X_217,commutator(X_218,X_90))))]]) ).
cnf(refute_0_7216,plain,
( multiply(commutator(X_217,commutator(X_218,X_90)),identity) != commutator(X_217,commutator(X_218,X_90))
| commutator(X_90,commutator(X_217,X_218)) != multiply(commutator(X_217,commutator(X_218,X_90)),identity)
| commutator(X_90,commutator(X_217,X_218)) = commutator(X_217,commutator(X_218,X_90)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_90,commutator(X_217,X_218)),multiply(commutator(X_217,commutator(X_218,X_90)),identity)) ),[1],$fot(commutator(X_217,commutator(X_218,X_90)))]]) ).
cnf(refute_0_7217,plain,
( commutator(X_90,commutator(X_217,X_218)) != multiply(commutator(X_217,commutator(X_218,X_90)),identity)
| commutator(X_90,commutator(X_217,X_218)) = commutator(X_217,commutator(X_218,X_90)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_217,commutator(X_218,X_90)),identity),commutator(X_217,commutator(X_218,X_90))) )],[refute_0_7215,refute_0_7216]) ).
cnf(refute_0_7218,plain,
( multiply(X_90,multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90))) != multiply(commutator(X_217,commutator(X_218,X_90)),identity)
| commutator(X_90,commutator(X_217,X_218)) = commutator(X_217,commutator(X_218,X_90)) ),
inference(resolve,[$cnf( $equal(commutator(X_90,commutator(X_217,X_218)),multiply(commutator(X_217,commutator(X_218,X_90)),identity)) )],[refute_0_7214,refute_0_7217]) ).
cnf(refute_0_7219,plain,
commutator(X_90,commutator(X_217,X_218)) = commutator(X_217,commutator(X_218,X_90)),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(commutator(X_217,commutator(X_218,X_90)),inverse(X_90))),multiply(commutator(X_217,commutator(X_218,X_90)),identity)) )],[refute_0_7174,refute_0_7218]) ).
cnf(refute_0_7220,plain,
commutator(inverse(multiply(X_256,multiply(X_256,X_257))),commutator(multiply(X_256,X_257),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))))) = commutator(multiply(X_256,X_257),commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))),inverse(multiply(X_256,multiply(X_256,X_257))))),
inference(subst,[],[refute_0_7219:[bind(X_217,$fot(multiply(X_256,X_257))),bind(X_218,$fot(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))))),bind(X_90,$fot(inverse(multiply(X_256,multiply(X_256,X_257)))))]]) ).
cnf(refute_0_7221,plain,
( commutator(multiply(X_256,X_257),commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))),inverse(multiply(X_256,multiply(X_256,X_257))))) != commutator(multiply(X_256,X_257),commutator(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257)))))
| commutator(inverse(multiply(X_256,multiply(X_256,X_257))),commutator(multiply(X_256,X_257),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))))) != commutator(multiply(X_256,X_257),commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))),inverse(multiply(X_256,multiply(X_256,X_257)))))
| commutator(inverse(multiply(X_256,multiply(X_256,X_257))),commutator(multiply(X_256,X_257),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))))) = commutator(multiply(X_256,X_257),commutator(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(inverse(multiply(X_256,multiply(X_256,X_257))),commutator(multiply(X_256,X_257),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))))))),bind(Y0,$fot(commutator(multiply(X_256,X_257),commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))),inverse(multiply(X_256,multiply(X_256,X_257))))))),bind(Z0,$fot(commutator(multiply(X_256,X_257),commutator(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257)))))))]]) ).
cnf(refute_0_7222,plain,
( commutator(multiply(X_256,X_257),commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))),inverse(multiply(X_256,multiply(X_256,X_257))))) != commutator(multiply(X_256,X_257),commutator(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257)))))
| commutator(inverse(multiply(X_256,multiply(X_256,X_257))),commutator(multiply(X_256,X_257),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))))) = commutator(multiply(X_256,X_257),commutator(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_256,multiply(X_256,X_257))),commutator(multiply(X_256,X_257),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))))),commutator(multiply(X_256,X_257),commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))),inverse(multiply(X_256,multiply(X_256,X_257)))))) )],[refute_0_7220,refute_0_7221]) ).
cnf(refute_0_7223,plain,
commutator(inverse(multiply(X_256,multiply(X_256,X_257))),commutator(multiply(X_256,X_257),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))))) = commutator(multiply(X_256,X_257),commutator(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_256,X_257),commutator(multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))),inverse(multiply(X_256,multiply(X_256,X_257))))),commutator(multiply(X_256,X_257),commutator(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257)))))) )],[refute_0_7169,refute_0_7222]) ).
cnf(refute_0_7224,plain,
( commutator(multiply(X_256,X_257),commutator(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))))) != commutator(multiply(X_256,X_257),commutator(multiply(X_256,multiply(X_256,X_257)),multiply(X_257,multiply(X_256,multiply(X_257,X_256)))))
| commutator(inverse(multiply(X_256,multiply(X_256,X_257))),commutator(multiply(X_256,X_257),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))))) != commutator(multiply(X_256,X_257),commutator(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257)))))
| commutator(inverse(multiply(X_256,multiply(X_256,X_257))),commutator(multiply(X_256,X_257),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))))) = commutator(multiply(X_256,X_257),commutator(multiply(X_256,multiply(X_256,X_257)),multiply(X_257,multiply(X_256,multiply(X_257,X_256))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(inverse(multiply(X_256,multiply(X_256,X_257))),commutator(multiply(X_256,X_257),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))))))),bind(Y0,$fot(commutator(multiply(X_256,X_257),commutator(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))))))),bind(Z0,$fot(commutator(multiply(X_256,X_257),commutator(multiply(X_256,multiply(X_256,X_257)),multiply(X_257,multiply(X_256,multiply(X_257,X_256)))))))]]) ).
cnf(refute_0_7225,plain,
( commutator(multiply(X_256,X_257),commutator(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))))) != commutator(multiply(X_256,X_257),commutator(multiply(X_256,multiply(X_256,X_257)),multiply(X_257,multiply(X_256,multiply(X_257,X_256)))))
| commutator(inverse(multiply(X_256,multiply(X_256,X_257))),commutator(multiply(X_256,X_257),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))))) = commutator(multiply(X_256,X_257),commutator(multiply(X_256,multiply(X_256,X_257)),multiply(X_257,multiply(X_256,multiply(X_257,X_256))))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_256,multiply(X_256,X_257))),commutator(multiply(X_256,X_257),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))))),commutator(multiply(X_256,X_257),commutator(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257)))))) )],[refute_0_7223,refute_0_7224]) ).
cnf(refute_0_7226,plain,
commutator(inverse(multiply(X_256,multiply(X_256,X_257))),commutator(multiply(X_256,X_257),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))))) = commutator(multiply(X_256,X_257),commutator(multiply(X_256,multiply(X_256,X_257)),multiply(X_257,multiply(X_256,multiply(X_257,X_256))))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_256,X_257),commutator(inverse(multiply(X_256,multiply(X_256,X_257))),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))))),commutator(multiply(X_256,X_257),commutator(multiply(X_256,multiply(X_256,X_257)),multiply(X_257,multiply(X_256,multiply(X_257,X_256)))))) )],[refute_0_7168,refute_0_7225]) ).
cnf(refute_0_7227,plain,
( commutator(inverse(multiply(X_256,multiply(X_256,X_257))),commutator(multiply(X_256,X_257),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))))) != commutator(multiply(X_256,X_257),commutator(multiply(X_256,multiply(X_256,X_257)),multiply(X_257,multiply(X_256,multiply(X_257,X_256)))))
| identity != commutator(inverse(multiply(X_256,multiply(X_256,X_257))),commutator(multiply(X_256,X_257),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257)))))
| identity = commutator(multiply(X_256,X_257),commutator(multiply(X_256,multiply(X_256,X_257)),multiply(X_257,multiply(X_256,multiply(X_257,X_256))))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(inverse(multiply(X_256,multiply(X_256,X_257))),commutator(multiply(X_256,X_257),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257)))))) ),[1],$fot(commutator(multiply(X_256,X_257),commutator(multiply(X_256,multiply(X_256,X_257)),multiply(X_257,multiply(X_256,multiply(X_257,X_256))))))]]) ).
cnf(refute_0_7228,plain,
( identity != commutator(inverse(multiply(X_256,multiply(X_256,X_257))),commutator(multiply(X_256,X_257),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257)))))
| identity = commutator(multiply(X_256,X_257),commutator(multiply(X_256,multiply(X_256,X_257)),multiply(X_257,multiply(X_256,multiply(X_257,X_256))))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_256,multiply(X_256,X_257))),commutator(multiply(X_256,X_257),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257))))),commutator(multiply(X_256,X_257),commutator(multiply(X_256,multiply(X_256,X_257)),multiply(X_257,multiply(X_256,multiply(X_257,X_256)))))) )],[refute_0_7226,refute_0_7227]) ).
cnf(refute_0_7229,plain,
identity = commutator(multiply(X_256,X_257),commutator(multiply(X_256,multiply(X_256,X_257)),multiply(X_257,multiply(X_256,multiply(X_257,X_256))))),
inference(resolve,[$cnf( $equal(identity,commutator(inverse(multiply(X_256,multiply(X_256,X_257))),commutator(multiply(X_256,X_257),multiply(inverse(multiply(X_256,multiply(X_256,X_257))),inverse(multiply(commutator(multiply(X_256,X_257),X_256),X_257)))))) )],[refute_0_7056,refute_0_7228]) ).
cnf(refute_0_7230,plain,
identity = commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,multiply(inverse(multiply(X_260,X_10)),X_260))))),
inference(subst,[],[refute_0_7229:[bind(X_256,$fot(X_260)),bind(X_257,$fot(inverse(multiply(X_260,X_10))))]]) ).
cnf(refute_0_7231,plain,
multiply(inverse(multiply(X_260,X_10)),X_260) = inverse(X_10),
inference(subst,[],[refute_0_208:[bind(X_58,$fot(X_260))]]) ).
cnf(refute_0_7232,plain,
( multiply(inverse(multiply(X_260,X_10)),X_260) != inverse(X_10)
| identity != commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,multiply(inverse(multiply(X_260,X_10)),X_260)))))
| identity = commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10))))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,multiply(inverse(multiply(X_260,X_10)),X_260)))))) ),[1,1,1,1,1],$fot(inverse(X_10))]]) ).
cnf(refute_0_7233,plain,
( identity != commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,multiply(inverse(multiply(X_260,X_10)),X_260)))))
| identity = commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_260,X_10)),X_260),inverse(X_10)) )],[refute_0_7231,refute_0_7232]) ).
cnf(refute_0_7234,plain,
identity = commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10))))),
inference(resolve,[$cnf( $equal(identity,commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,multiply(inverse(multiply(X_260,X_10)),X_260)))))) )],[refute_0_7230,refute_0_7233]) ).
cnf(refute_0_7235,plain,
commutator(inverse(multiply(X_260,X_10)),multiply(X_10,X_10)) = commutator(multiply(X_10,X_10),multiply(X_260,X_10)),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(multiply(X_260,X_10))),bind(X_110,$fot(multiply(X_10,X_10)))]]) ).
cnf(refute_0_7236,plain,
commutator(X_260,commutator(inverse(multiply(X_260,X_10)),multiply(X_10,X_10))) = commutator(X_260,commutator(inverse(multiply(X_260,X_10)),multiply(X_10,X_10))),
introduced(tautology,[refl,[$fot(commutator(X_260,commutator(inverse(multiply(X_260,X_10)),multiply(X_10,X_10))))]]) ).
cnf(refute_0_7237,plain,
( commutator(X_260,commutator(inverse(multiply(X_260,X_10)),multiply(X_10,X_10))) != commutator(X_260,commutator(inverse(multiply(X_260,X_10)),multiply(X_10,X_10)))
| commutator(inverse(multiply(X_260,X_10)),multiply(X_10,X_10)) != commutator(multiply(X_10,X_10),multiply(X_260,X_10))
| commutator(X_260,commutator(inverse(multiply(X_260,X_10)),multiply(X_10,X_10))) = commutator(X_260,commutator(multiply(X_10,X_10),multiply(X_260,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_260,commutator(inverse(multiply(X_260,X_10)),multiply(X_10,X_10))),commutator(X_260,commutator(inverse(multiply(X_260,X_10)),multiply(X_10,X_10)))) ),[1,1],$fot(commutator(multiply(X_10,X_10),multiply(X_260,X_10)))]]) ).
cnf(refute_0_7238,plain,
( commutator(inverse(multiply(X_260,X_10)),multiply(X_10,X_10)) != commutator(multiply(X_10,X_10),multiply(X_260,X_10))
| commutator(X_260,commutator(inverse(multiply(X_260,X_10)),multiply(X_10,X_10))) = commutator(X_260,commutator(multiply(X_10,X_10),multiply(X_260,X_10))) ),
inference(resolve,[$cnf( $equal(commutator(X_260,commutator(inverse(multiply(X_260,X_10)),multiply(X_10,X_10))),commutator(X_260,commutator(inverse(multiply(X_260,X_10)),multiply(X_10,X_10)))) )],[refute_0_7236,refute_0_7237]) ).
cnf(refute_0_7239,plain,
commutator(X_260,commutator(inverse(multiply(X_260,X_10)),multiply(X_10,X_10))) = commutator(X_260,commutator(multiply(X_10,X_10),multiply(X_260,X_10))),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_260,X_10)),multiply(X_10,X_10)),commutator(multiply(X_10,X_10),multiply(X_260,X_10))) )],[refute_0_7235,refute_0_7238]) ).
cnf(refute_0_7240,plain,
commutator(commutator(X,multiply(X,X_86)),Z) = commutator(X,commutator(multiply(X,X_86),Z)),
inference(subst,[],[associativity_of_commutator:[bind(Y,$fot(multiply(X,X_86)))]]) ).
cnf(refute_0_7241,plain,
commutator(X,multiply(X,X_86)) = commutator(X,X_86),
inference(subst,[],[refute_0_455:[bind(X_10,$fot(X)),bind(X_11,$fot(X_86))]]) ).
cnf(refute_0_7242,plain,
( commutator(X,multiply(X,X_86)) != commutator(X,X_86)
| commutator(commutator(X,multiply(X,X_86)),Z) != commutator(X,commutator(multiply(X,X_86),Z))
| commutator(commutator(X,X_86),Z) = commutator(X,commutator(multiply(X,X_86),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(X,multiply(X,X_86)),Z),commutator(X,commutator(multiply(X,X_86),Z))) ),[0,0],$fot(commutator(X,X_86))]]) ).
cnf(refute_0_7243,plain,
( commutator(commutator(X,multiply(X,X_86)),Z) != commutator(X,commutator(multiply(X,X_86),Z))
| commutator(commutator(X,X_86),Z) = commutator(X,commutator(multiply(X,X_86),Z)) ),
inference(resolve,[$cnf( $equal(commutator(X,multiply(X,X_86)),commutator(X,X_86)) )],[refute_0_7241,refute_0_7242]) ).
cnf(refute_0_7244,plain,
commutator(commutator(X,X_86),Z) = commutator(X,commutator(multiply(X,X_86),Z)),
inference(resolve,[$cnf( $equal(commutator(commutator(X,multiply(X,X_86)),Z),commutator(X,commutator(multiply(X,X_86),Z))) )],[refute_0_7240,refute_0_7243]) ).
cnf(refute_0_7245,plain,
commutator(commutator(X,X_86),Z) = commutator(X,commutator(X_86,Z)),
inference(subst,[],[associativity_of_commutator:[bind(Y,$fot(X_86))]]) ).
cnf(refute_0_7246,plain,
( commutator(commutator(X,X_86),Z) != commutator(X,commutator(X_86,Z))
| commutator(commutator(X,X_86),Z) != commutator(X,commutator(multiply(X,X_86),Z))
| commutator(X,commutator(X_86,Z)) = commutator(X,commutator(multiply(X,X_86),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(X,X_86),Z),commutator(X,commutator(multiply(X,X_86),Z))) ),[0],$fot(commutator(X,commutator(X_86,Z)))]]) ).
cnf(refute_0_7247,plain,
( commutator(commutator(X,X_86),Z) != commutator(X,commutator(multiply(X,X_86),Z))
| commutator(X,commutator(X_86,Z)) = commutator(X,commutator(multiply(X,X_86),Z)) ),
inference(resolve,[$cnf( $equal(commutator(commutator(X,X_86),Z),commutator(X,commutator(X_86,Z))) )],[refute_0_7245,refute_0_7246]) ).
cnf(refute_0_7248,plain,
commutator(X,commutator(X_86,Z)) = commutator(X,commutator(multiply(X,X_86),Z)),
inference(resolve,[$cnf( $equal(commutator(commutator(X,X_86),Z),commutator(X,commutator(multiply(X,X_86),Z))) )],[refute_0_7244,refute_0_7247]) ).
cnf(refute_0_7249,plain,
( commutator(X,commutator(X_86,Z)) != commutator(X,commutator(multiply(X,X_86),Z))
| commutator(X,commutator(multiply(X,X_86),Z)) = commutator(X,commutator(X_86,Z)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X,commutator(X_86,Z)))),bind(Y0,$fot(commutator(X,commutator(multiply(X,X_86),Z))))]]) ).
cnf(refute_0_7250,plain,
commutator(X,commutator(multiply(X,X_86),Z)) = commutator(X,commutator(X_86,Z)),
inference(resolve,[$cnf( $equal(commutator(X,commutator(X_86,Z)),commutator(X,commutator(multiply(X,X_86),Z))) )],[refute_0_7248,refute_0_7249]) ).
cnf(refute_0_7251,plain,
commutator(X_260,commutator(multiply(X_260,inverse(multiply(X_260,X_10))),multiply(X_10,X_10))) = commutator(X_260,commutator(inverse(multiply(X_260,X_10)),multiply(X_10,X_10))),
inference(subst,[],[refute_0_7250:[bind(X,$fot(X_260)),bind(Z,$fot(multiply(X_10,X_10))),bind(X_86,$fot(inverse(multiply(X_260,X_10))))]]) ).
cnf(refute_0_7252,plain,
( commutator(X_90,commutator(X_217,X_218)) != commutator(X_217,commutator(X_218,X_90))
| commutator(X_217,commutator(X_218,X_90)) = commutator(X_90,commutator(X_217,X_218)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_90,commutator(X_217,X_218)))),bind(Y0,$fot(commutator(X_217,commutator(X_218,X_90))))]]) ).
cnf(refute_0_7253,plain,
commutator(X_217,commutator(X_218,X_90)) = commutator(X_90,commutator(X_217,X_218)),
inference(resolve,[$cnf( $equal(commutator(X_90,commutator(X_217,X_218)),commutator(X_217,commutator(X_218,X_90))) )],[refute_0_7219,refute_0_7252]) ).
cnf(refute_0_7254,plain,
commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_10,X_10),X_260)) = commutator(X_260,commutator(multiply(X_260,inverse(multiply(X_260,X_10))),multiply(X_10,X_10))),
inference(subst,[],[refute_0_7253:[bind(X_217,$fot(multiply(X_260,inverse(multiply(X_260,X_10))))),bind(X_218,$fot(multiply(X_10,X_10))),bind(X_90,$fot(X_260))]]) ).
cnf(refute_0_7255,plain,
( commutator(X_260,commutator(multiply(X_260,inverse(multiply(X_260,X_10))),multiply(X_10,X_10))) != commutator(X_260,commutator(inverse(multiply(X_260,X_10)),multiply(X_10,X_10)))
| commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_10,X_10),X_260)) != commutator(X_260,commutator(multiply(X_260,inverse(multiply(X_260,X_10))),multiply(X_10,X_10)))
| commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_10,X_10),X_260)) = commutator(X_260,commutator(inverse(multiply(X_260,X_10)),multiply(X_10,X_10))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_10,X_10),X_260)))),bind(Y0,$fot(commutator(X_260,commutator(multiply(X_260,inverse(multiply(X_260,X_10))),multiply(X_10,X_10))))),bind(Z0,$fot(commutator(X_260,commutator(inverse(multiply(X_260,X_10)),multiply(X_10,X_10)))))]]) ).
cnf(refute_0_7256,plain,
( commutator(X_260,commutator(multiply(X_260,inverse(multiply(X_260,X_10))),multiply(X_10,X_10))) != commutator(X_260,commutator(inverse(multiply(X_260,X_10)),multiply(X_10,X_10)))
| commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_10,X_10),X_260)) = commutator(X_260,commutator(inverse(multiply(X_260,X_10)),multiply(X_10,X_10))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_10,X_10),X_260)),commutator(X_260,commutator(multiply(X_260,inverse(multiply(X_260,X_10))),multiply(X_10,X_10)))) )],[refute_0_7254,refute_0_7255]) ).
cnf(refute_0_7257,plain,
commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_10,X_10),X_260)) = commutator(X_260,commutator(inverse(multiply(X_260,X_10)),multiply(X_10,X_10))),
inference(resolve,[$cnf( $equal(commutator(X_260,commutator(multiply(X_260,inverse(multiply(X_260,X_10))),multiply(X_10,X_10))),commutator(X_260,commutator(inverse(multiply(X_260,X_10)),multiply(X_10,X_10)))) )],[refute_0_7251,refute_0_7256]) ).
cnf(refute_0_7258,plain,
( commutator(X_260,commutator(inverse(multiply(X_260,X_10)),multiply(X_10,X_10))) != commutator(X_260,commutator(multiply(X_10,X_10),multiply(X_260,X_10)))
| commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_10,X_10),X_260)) != commutator(X_260,commutator(inverse(multiply(X_260,X_10)),multiply(X_10,X_10)))
| commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_10,X_10),X_260)) = commutator(X_260,commutator(multiply(X_10,X_10),multiply(X_260,X_10))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_10,X_10),X_260)))),bind(Y0,$fot(commutator(X_260,commutator(inverse(multiply(X_260,X_10)),multiply(X_10,X_10))))),bind(Z0,$fot(commutator(X_260,commutator(multiply(X_10,X_10),multiply(X_260,X_10)))))]]) ).
cnf(refute_0_7259,plain,
( commutator(X_260,commutator(inverse(multiply(X_260,X_10)),multiply(X_10,X_10))) != commutator(X_260,commutator(multiply(X_10,X_10),multiply(X_260,X_10)))
| commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_10,X_10),X_260)) = commutator(X_260,commutator(multiply(X_10,X_10),multiply(X_260,X_10))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_10,X_10),X_260)),commutator(X_260,commutator(inverse(multiply(X_260,X_10)),multiply(X_10,X_10)))) )],[refute_0_7257,refute_0_7258]) ).
cnf(refute_0_7260,plain,
commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_10,X_10),X_260)) = commutator(X_260,commutator(multiply(X_10,X_10),multiply(X_260,X_10))),
inference(resolve,[$cnf( $equal(commutator(X_260,commutator(inverse(multiply(X_260,X_10)),multiply(X_10,X_10))),commutator(X_260,commutator(multiply(X_10,X_10),multiply(X_260,X_10)))) )],[refute_0_7239,refute_0_7259]) ).
cnf(refute_0_7261,plain,
commutator(commutator(X_245,Y),multiply(X_246,X_245)) = multiply(commutator(X_245,Y),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(X_245,commutator(X_245,Y))))))),
inference(subst,[],[refute_0_3260:[bind(X_10,$fot(commutator(X_245,Y))),bind(X_161,$fot(X_245)),bind(X_162,$fot(X_246))]]) ).
cnf(refute_0_7262,plain,
multiply(inverse(Y),multiply(X_245,Y)) = multiply(X_245,commutator(X_245,Y)),
inference(subst,[],[refute_0_254:[bind(X_27,$fot(X_245))]]) ).
cnf(refute_0_7263,plain,
( multiply(inverse(Y),multiply(X_245,Y)) != multiply(X_245,commutator(X_245,Y))
| multiply(X_245,commutator(X_245,Y)) = multiply(inverse(Y),multiply(X_245,Y)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(inverse(Y),multiply(X_245,Y)))),bind(Y0,$fot(multiply(X_245,commutator(X_245,Y))))]]) ).
cnf(refute_0_7264,plain,
multiply(X_245,commutator(X_245,Y)) = multiply(inverse(Y),multiply(X_245,Y)),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),multiply(X_245,Y)),multiply(X_245,commutator(X_245,Y))) )],[refute_0_7262,refute_0_7263]) ).
cnf(refute_0_7265,plain,
( multiply(X_245,commutator(X_245,Y)) != multiply(inverse(Y),multiply(X_245,Y))
| commutator(commutator(X_245,Y),multiply(X_246,X_245)) != multiply(commutator(X_245,Y),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(X_245,commutator(X_245,Y)))))))
| commutator(commutator(X_245,Y),multiply(X_246,X_245)) = multiply(commutator(X_245,Y),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y))))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(X_245,Y),multiply(X_246,X_245)),multiply(commutator(X_245,Y),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(X_245,commutator(X_245,Y)))))))) ),[1,1,1,1,0,1],$fot(multiply(inverse(Y),multiply(X_245,Y)))]]) ).
cnf(refute_0_7266,plain,
( commutator(commutator(X_245,Y),multiply(X_246,X_245)) != multiply(commutator(X_245,Y),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(X_245,commutator(X_245,Y)))))))
| commutator(commutator(X_245,Y),multiply(X_246,X_245)) = multiply(commutator(X_245,Y),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y))))))) ),
inference(resolve,[$cnf( $equal(multiply(X_245,commutator(X_245,Y)),multiply(inverse(Y),multiply(X_245,Y))) )],[refute_0_7264,refute_0_7265]) ).
cnf(refute_0_7267,plain,
commutator(commutator(X_245,Y),multiply(X_246,X_245)) = multiply(commutator(X_245,Y),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y))))))),
inference(resolve,[$cnf( $equal(commutator(commutator(X_245,Y),multiply(X_246,X_245)),multiply(commutator(X_245,Y),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(X_245,commutator(X_245,Y)))))))) )],[refute_0_7261,refute_0_7266]) ).
cnf(refute_0_7268,plain,
commutator(commutator(X_245,Y),multiply(X_246,X_245)) = commutator(X_245,commutator(Y,multiply(X_246,X_245))),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(X_245)),bind(Z,$fot(multiply(X_246,X_245)))]]) ).
cnf(refute_0_7269,plain,
( commutator(commutator(X_245,Y),multiply(X_246,X_245)) != multiply(commutator(X_245,Y),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y)))))))
| commutator(commutator(X_245,Y),multiply(X_246,X_245)) != commutator(X_245,commutator(Y,multiply(X_246,X_245)))
| commutator(X_245,commutator(Y,multiply(X_246,X_245))) = multiply(commutator(X_245,Y),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y))))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(X_245,Y),multiply(X_246,X_245)),multiply(commutator(X_245,Y),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y)))))))) ),[0],$fot(commutator(X_245,commutator(Y,multiply(X_246,X_245))))]]) ).
cnf(refute_0_7270,plain,
( commutator(commutator(X_245,Y),multiply(X_246,X_245)) != multiply(commutator(X_245,Y),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y)))))))
| commutator(X_245,commutator(Y,multiply(X_246,X_245))) = multiply(commutator(X_245,Y),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y))))))) ),
inference(resolve,[$cnf( $equal(commutator(commutator(X_245,Y),multiply(X_246,X_245)),commutator(X_245,commutator(Y,multiply(X_246,X_245)))) )],[refute_0_7268,refute_0_7269]) ).
cnf(refute_0_7271,plain,
commutator(commutator(X_245,Y),X_246) = commutator(X_245,commutator(Y,X_246)),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(X_245)),bind(Z,$fot(X_246))]]) ).
cnf(refute_0_7272,plain,
multiply(commutator(X_245,Y),multiply(X_246,inverse(multiply(X_246,commutator(X_245,Y))))) = commutator(commutator(X_245,Y),X_246),
inference(subst,[],[refute_0_1319:[bind(X_27,$fot(X_246)),bind(X_41,$fot(commutator(X_245,Y)))]]) ).
cnf(refute_0_7273,plain,
( multiply(commutator(X_245,Y),multiply(X_246,inverse(multiply(X_246,commutator(X_245,Y))))) != commutator(commutator(X_245,Y),X_246)
| commutator(commutator(X_245,Y),X_246) != commutator(X_245,commutator(Y,X_246))
| multiply(commutator(X_245,Y),multiply(X_246,inverse(multiply(X_246,commutator(X_245,Y))))) = commutator(X_245,commutator(Y,X_246)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_245,Y),multiply(X_246,inverse(multiply(X_246,commutator(X_245,Y))))))),bind(Y0,$fot(commutator(commutator(X_245,Y),X_246))),bind(Z0,$fot(commutator(X_245,commutator(Y,X_246))))]]) ).
cnf(refute_0_7274,plain,
( commutator(commutator(X_245,Y),X_246) != commutator(X_245,commutator(Y,X_246))
| multiply(commutator(X_245,Y),multiply(X_246,inverse(multiply(X_246,commutator(X_245,Y))))) = commutator(X_245,commutator(Y,X_246)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_245,Y),multiply(X_246,inverse(multiply(X_246,commutator(X_245,Y))))),commutator(commutator(X_245,Y),X_246)) )],[refute_0_7272,refute_0_7273]) ).
cnf(refute_0_7275,plain,
multiply(commutator(X_245,Y),multiply(X_246,inverse(multiply(X_246,commutator(X_245,Y))))) = commutator(X_245,commutator(Y,X_246)),
inference(resolve,[$cnf( $equal(commutator(commutator(X_245,Y),X_246),commutator(X_245,commutator(Y,X_246))) )],[refute_0_7271,refute_0_7274]) ).
cnf(refute_0_7276,plain,
multiply(multiply(X_192,inverse(multiply(X_192,X_191))),inverse(multiply(X,multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191))))))) = inverse(multiply(X,commutator(X_192,X_191))),
inference(subst,[],[refute_0_1367:[bind(Y,$fot(commutator(X_192,X_191))),bind(X_59,$fot(multiply(X_192,inverse(multiply(X_192,X_191)))))]]) ).
cnf(refute_0_7277,plain,
( multiply(multiply(X_192,inverse(multiply(X_192,X_191))),inverse(multiply(X,multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191))))))) != inverse(multiply(X,commutator(X_192,X_191)))
| multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))) != inverse(X_191)
| multiply(multiply(X_192,inverse(multiply(X_192,X_191))),inverse(multiply(X,inverse(X_191)))) = inverse(multiply(X,commutator(X_192,X_191))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_192,inverse(multiply(X_192,X_191))),inverse(multiply(X,multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191))))))),inverse(multiply(X,commutator(X_192,X_191)))) ),[0,1,0,1],$fot(inverse(X_191))]]) ).
cnf(refute_0_7278,plain,
( multiply(multiply(X_192,inverse(multiply(X_192,X_191))),inverse(multiply(X,multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191))))))) != inverse(multiply(X,commutator(X_192,X_191)))
| multiply(multiply(X_192,inverse(multiply(X_192,X_191))),inverse(multiply(X,inverse(X_191)))) = inverse(multiply(X,commutator(X_192,X_191))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191)))),inverse(X_191)) )],[refute_0_3960,refute_0_7277]) ).
cnf(refute_0_7279,plain,
multiply(multiply(X_192,inverse(multiply(X_192,X_191))),inverse(multiply(X,inverse(X_191)))) = inverse(multiply(X,commutator(X_192,X_191))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_192,inverse(multiply(X_192,X_191))),inverse(multiply(X,multiply(commutator(X_192,X_191),multiply(X_192,inverse(multiply(X_192,X_191))))))),inverse(multiply(X,commutator(X_192,X_191)))) )],[refute_0_7276,refute_0_7278]) ).
cnf(refute_0_7280,plain,
multiply(multiply(X,inverse(X_191)),multiply(X_192,X_191)) = multiply(X,multiply(inverse(X_191),multiply(X_192,X_191))),
inference(subst,[],[associativity:[bind(Y,$fot(inverse(X_191))),bind(Z,$fot(multiply(X_192,X_191)))]]) ).
cnf(refute_0_7281,plain,
inverse(multiply(multiply(X,inverse(X_191)),multiply(X_192,X_191))) = inverse(multiply(multiply(X,inverse(X_191)),multiply(X_192,X_191))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X,inverse(X_191)),multiply(X_192,X_191))))]]) ).
cnf(refute_0_7282,plain,
( multiply(multiply(X,inverse(X_191)),multiply(X_192,X_191)) != multiply(X,multiply(inverse(X_191),multiply(X_192,X_191)))
| inverse(multiply(multiply(X,inverse(X_191)),multiply(X_192,X_191))) != inverse(multiply(multiply(X,inverse(X_191)),multiply(X_192,X_191)))
| inverse(multiply(multiply(X,inverse(X_191)),multiply(X_192,X_191))) = inverse(multiply(X,multiply(inverse(X_191),multiply(X_192,X_191)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X,inverse(X_191)),multiply(X_192,X_191))),inverse(multiply(multiply(X,inverse(X_191)),multiply(X_192,X_191)))) ),[1,0],$fot(multiply(X,multiply(inverse(X_191),multiply(X_192,X_191))))]]) ).
cnf(refute_0_7283,plain,
( multiply(multiply(X,inverse(X_191)),multiply(X_192,X_191)) != multiply(X,multiply(inverse(X_191),multiply(X_192,X_191)))
| inverse(multiply(multiply(X,inverse(X_191)),multiply(X_192,X_191))) = inverse(multiply(X,multiply(inverse(X_191),multiply(X_192,X_191)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X,inverse(X_191)),multiply(X_192,X_191))),inverse(multiply(multiply(X,inverse(X_191)),multiply(X_192,X_191)))) )],[refute_0_7281,refute_0_7282]) ).
cnf(refute_0_7284,plain,
inverse(multiply(multiply(X,inverse(X_191)),multiply(X_192,X_191))) = inverse(multiply(X,multiply(inverse(X_191),multiply(X_192,X_191)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X,inverse(X_191)),multiply(X_192,X_191)),multiply(X,multiply(inverse(X_191),multiply(X_192,X_191)))) )],[refute_0_7280,refute_0_7283]) ).
cnf(refute_0_7285,plain,
multiply(inverse(multiply(X_192,X_191)),inverse(multiply(X,inverse(X_191)))) = inverse(multiply(multiply(X,inverse(X_191)),multiply(X_192,X_191))),
inference(subst,[],[refute_0_257:[bind(X_10,$fot(multiply(X_192,X_191))),bind(X_58,$fot(multiply(X,inverse(X_191))))]]) ).
cnf(refute_0_7286,plain,
( multiply(inverse(multiply(X_192,X_191)),inverse(multiply(X,inverse(X_191)))) != inverse(multiply(multiply(X,inverse(X_191)),multiply(X_192,X_191)))
| inverse(multiply(multiply(X,inverse(X_191)),multiply(X_192,X_191))) != inverse(multiply(X,multiply(inverse(X_191),multiply(X_192,X_191))))
| multiply(inverse(multiply(X_192,X_191)),inverse(multiply(X,inverse(X_191)))) = inverse(multiply(X,multiply(inverse(X_191),multiply(X_192,X_191)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_192,X_191)),inverse(multiply(X,inverse(X_191)))))),bind(Y0,$fot(inverse(multiply(multiply(X,inverse(X_191)),multiply(X_192,X_191))))),bind(Z0,$fot(inverse(multiply(X,multiply(inverse(X_191),multiply(X_192,X_191))))))]]) ).
cnf(refute_0_7287,plain,
( inverse(multiply(multiply(X,inverse(X_191)),multiply(X_192,X_191))) != inverse(multiply(X,multiply(inverse(X_191),multiply(X_192,X_191))))
| multiply(inverse(multiply(X_192,X_191)),inverse(multiply(X,inverse(X_191)))) = inverse(multiply(X,multiply(inverse(X_191),multiply(X_192,X_191)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_192,X_191)),inverse(multiply(X,inverse(X_191)))),inverse(multiply(multiply(X,inverse(X_191)),multiply(X_192,X_191)))) )],[refute_0_7285,refute_0_7286]) ).
cnf(refute_0_7288,plain,
multiply(inverse(multiply(X_192,X_191)),inverse(multiply(X,inverse(X_191)))) = inverse(multiply(X,multiply(inverse(X_191),multiply(X_192,X_191)))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X,inverse(X_191)),multiply(X_192,X_191))),inverse(multiply(X,multiply(inverse(X_191),multiply(X_192,X_191))))) )],[refute_0_7284,refute_0_7287]) ).
cnf(refute_0_7289,plain,
multiply(X_192,multiply(inverse(multiply(X_192,X_191)),inverse(multiply(X,inverse(X_191))))) = multiply(X_192,multiply(inverse(multiply(X_192,X_191)),inverse(multiply(X,inverse(X_191))))),
introduced(tautology,[refl,[$fot(multiply(X_192,multiply(inverse(multiply(X_192,X_191)),inverse(multiply(X,inverse(X_191))))))]]) ).
cnf(refute_0_7290,plain,
( multiply(X_192,multiply(inverse(multiply(X_192,X_191)),inverse(multiply(X,inverse(X_191))))) != multiply(X_192,multiply(inverse(multiply(X_192,X_191)),inverse(multiply(X,inverse(X_191)))))
| multiply(inverse(multiply(X_192,X_191)),inverse(multiply(X,inverse(X_191)))) != inverse(multiply(X,multiply(inverse(X_191),multiply(X_192,X_191))))
| multiply(X_192,multiply(inverse(multiply(X_192,X_191)),inverse(multiply(X,inverse(X_191))))) = multiply(X_192,inverse(multiply(X,multiply(inverse(X_191),multiply(X_192,X_191))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_192,multiply(inverse(multiply(X_192,X_191)),inverse(multiply(X,inverse(X_191))))),multiply(X_192,multiply(inverse(multiply(X_192,X_191)),inverse(multiply(X,inverse(X_191)))))) ),[1,1],$fot(inverse(multiply(X,multiply(inverse(X_191),multiply(X_192,X_191)))))]]) ).
cnf(refute_0_7291,plain,
( multiply(inverse(multiply(X_192,X_191)),inverse(multiply(X,inverse(X_191)))) != inverse(multiply(X,multiply(inverse(X_191),multiply(X_192,X_191))))
| multiply(X_192,multiply(inverse(multiply(X_192,X_191)),inverse(multiply(X,inverse(X_191))))) = multiply(X_192,inverse(multiply(X,multiply(inverse(X_191),multiply(X_192,X_191))))) ),
inference(resolve,[$cnf( $equal(multiply(X_192,multiply(inverse(multiply(X_192,X_191)),inverse(multiply(X,inverse(X_191))))),multiply(X_192,multiply(inverse(multiply(X_192,X_191)),inverse(multiply(X,inverse(X_191)))))) )],[refute_0_7289,refute_0_7290]) ).
cnf(refute_0_7292,plain,
multiply(X_192,multiply(inverse(multiply(X_192,X_191)),inverse(multiply(X,inverse(X_191))))) = multiply(X_192,inverse(multiply(X,multiply(inverse(X_191),multiply(X_192,X_191))))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_192,X_191)),inverse(multiply(X,inverse(X_191)))),inverse(multiply(X,multiply(inverse(X_191),multiply(X_192,X_191))))) )],[refute_0_7288,refute_0_7291]) ).
cnf(refute_0_7293,plain,
multiply(multiply(X_192,inverse(multiply(X_192,X_191))),inverse(multiply(X,inverse(X_191)))) = multiply(X_192,multiply(inverse(multiply(X_192,X_191)),inverse(multiply(X,inverse(X_191))))),
inference(subst,[],[associativity:[bind(X,$fot(X_192)),bind(Y,$fot(inverse(multiply(X_192,X_191)))),bind(Z,$fot(inverse(multiply(X,inverse(X_191)))))]]) ).
cnf(refute_0_7294,plain,
( multiply(X_192,multiply(inverse(multiply(X_192,X_191)),inverse(multiply(X,inverse(X_191))))) != multiply(X_192,inverse(multiply(X,multiply(inverse(X_191),multiply(X_192,X_191)))))
| multiply(multiply(X_192,inverse(multiply(X_192,X_191))),inverse(multiply(X,inverse(X_191)))) != multiply(X_192,multiply(inverse(multiply(X_192,X_191)),inverse(multiply(X,inverse(X_191)))))
| multiply(multiply(X_192,inverse(multiply(X_192,X_191))),inverse(multiply(X,inverse(X_191)))) = multiply(X_192,inverse(multiply(X,multiply(inverse(X_191),multiply(X_192,X_191))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_192,inverse(multiply(X_192,X_191))),inverse(multiply(X,inverse(X_191)))))),bind(Y0,$fot(multiply(X_192,multiply(inverse(multiply(X_192,X_191)),inverse(multiply(X,inverse(X_191))))))),bind(Z0,$fot(multiply(X_192,inverse(multiply(X,multiply(inverse(X_191),multiply(X_192,X_191)))))))]]) ).
cnf(refute_0_7295,plain,
( multiply(X_192,multiply(inverse(multiply(X_192,X_191)),inverse(multiply(X,inverse(X_191))))) != multiply(X_192,inverse(multiply(X,multiply(inverse(X_191),multiply(X_192,X_191)))))
| multiply(multiply(X_192,inverse(multiply(X_192,X_191))),inverse(multiply(X,inverse(X_191)))) = multiply(X_192,inverse(multiply(X,multiply(inverse(X_191),multiply(X_192,X_191))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_192,inverse(multiply(X_192,X_191))),inverse(multiply(X,inverse(X_191)))),multiply(X_192,multiply(inverse(multiply(X_192,X_191)),inverse(multiply(X,inverse(X_191)))))) )],[refute_0_7293,refute_0_7294]) ).
cnf(refute_0_7296,plain,
multiply(multiply(X_192,inverse(multiply(X_192,X_191))),inverse(multiply(X,inverse(X_191)))) = multiply(X_192,inverse(multiply(X,multiply(inverse(X_191),multiply(X_192,X_191))))),
inference(resolve,[$cnf( $equal(multiply(X_192,multiply(inverse(multiply(X_192,X_191)),inverse(multiply(X,inverse(X_191))))),multiply(X_192,inverse(multiply(X,multiply(inverse(X_191),multiply(X_192,X_191)))))) )],[refute_0_7292,refute_0_7295]) ).
cnf(refute_0_7297,plain,
( multiply(multiply(X_192,inverse(multiply(X_192,X_191))),inverse(multiply(X,inverse(X_191)))) != multiply(X_192,inverse(multiply(X,multiply(inverse(X_191),multiply(X_192,X_191)))))
| multiply(multiply(X_192,inverse(multiply(X_192,X_191))),inverse(multiply(X,inverse(X_191)))) != inverse(multiply(X,commutator(X_192,X_191)))
| multiply(X_192,inverse(multiply(X,multiply(inverse(X_191),multiply(X_192,X_191))))) = inverse(multiply(X,commutator(X_192,X_191))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_192,inverse(multiply(X_192,X_191))),inverse(multiply(X,inverse(X_191)))),inverse(multiply(X,commutator(X_192,X_191)))) ),[0],$fot(multiply(X_192,inverse(multiply(X,multiply(inverse(X_191),multiply(X_192,X_191))))))]]) ).
cnf(refute_0_7298,plain,
( multiply(multiply(X_192,inverse(multiply(X_192,X_191))),inverse(multiply(X,inverse(X_191)))) != inverse(multiply(X,commutator(X_192,X_191)))
| multiply(X_192,inverse(multiply(X,multiply(inverse(X_191),multiply(X_192,X_191))))) = inverse(multiply(X,commutator(X_192,X_191))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_192,inverse(multiply(X_192,X_191))),inverse(multiply(X,inverse(X_191)))),multiply(X_192,inverse(multiply(X,multiply(inverse(X_191),multiply(X_192,X_191)))))) )],[refute_0_7296,refute_0_7297]) ).
cnf(refute_0_7299,plain,
multiply(X_192,inverse(multiply(X,multiply(inverse(X_191),multiply(X_192,X_191))))) = inverse(multiply(X,commutator(X_192,X_191))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_192,inverse(multiply(X_192,X_191))),inverse(multiply(X,inverse(X_191)))),inverse(multiply(X,commutator(X_192,X_191)))) )],[refute_0_7279,refute_0_7298]) ).
cnf(refute_0_7300,plain,
multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y))))) = inverse(multiply(X_246,commutator(X_245,Y))),
inference(subst,[],[refute_0_7299:[bind(X,$fot(X_246)),bind(X_191,$fot(Y)),bind(X_192,$fot(X_245))]]) ).
cnf(refute_0_7301,plain,
multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y)))))) = multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y)))))),
introduced(tautology,[refl,[$fot(multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y)))))))]]) ).
cnf(refute_0_7302,plain,
( multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y))))) != inverse(multiply(X_246,commutator(X_245,Y)))
| multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y)))))) != multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y))))))
| multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y)))))) = multiply(X_246,inverse(multiply(X_246,commutator(X_245,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y)))))),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y))))))) ),[1,1],$fot(inverse(multiply(X_246,commutator(X_245,Y))))]]) ).
cnf(refute_0_7303,plain,
( multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y))))) != inverse(multiply(X_246,commutator(X_245,Y)))
| multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y)))))) = multiply(X_246,inverse(multiply(X_246,commutator(X_245,Y)))) ),
inference(resolve,[$cnf( $equal(multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y)))))),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y))))))) )],[refute_0_7301,refute_0_7302]) ).
cnf(refute_0_7304,plain,
multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y)))))) = multiply(X_246,inverse(multiply(X_246,commutator(X_245,Y)))),
inference(resolve,[$cnf( $equal(multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y))))),inverse(multiply(X_246,commutator(X_245,Y)))) )],[refute_0_7300,refute_0_7303]) ).
cnf(refute_0_7305,plain,
multiply(commutator(X_245,Y),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y))))))) = multiply(commutator(X_245,Y),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y))))))),
introduced(tautology,[refl,[$fot(multiply(commutator(X_245,Y),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y))))))))]]) ).
cnf(refute_0_7306,plain,
( multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y)))))) != multiply(X_246,inverse(multiply(X_246,commutator(X_245,Y))))
| multiply(commutator(X_245,Y),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y))))))) != multiply(commutator(X_245,Y),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y)))))))
| multiply(commutator(X_245,Y),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y))))))) = multiply(commutator(X_245,Y),multiply(X_246,inverse(multiply(X_246,commutator(X_245,Y))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_245,Y),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y))))))),multiply(commutator(X_245,Y),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y)))))))) ),[1,1],$fot(multiply(X_246,inverse(multiply(X_246,commutator(X_245,Y)))))]]) ).
cnf(refute_0_7307,plain,
( multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y)))))) != multiply(X_246,inverse(multiply(X_246,commutator(X_245,Y))))
| multiply(commutator(X_245,Y),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y))))))) = multiply(commutator(X_245,Y),multiply(X_246,inverse(multiply(X_246,commutator(X_245,Y))))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_245,Y),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y))))))),multiply(commutator(X_245,Y),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y)))))))) )],[refute_0_7305,refute_0_7306]) ).
cnf(refute_0_7308,plain,
multiply(commutator(X_245,Y),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y))))))) = multiply(commutator(X_245,Y),multiply(X_246,inverse(multiply(X_246,commutator(X_245,Y))))),
inference(resolve,[$cnf( $equal(multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y)))))),multiply(X_246,inverse(multiply(X_246,commutator(X_245,Y))))) )],[refute_0_7304,refute_0_7307]) ).
cnf(refute_0_7309,plain,
( multiply(commutator(X_245,Y),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y))))))) != multiply(commutator(X_245,Y),multiply(X_246,inverse(multiply(X_246,commutator(X_245,Y)))))
| multiply(commutator(X_245,Y),multiply(X_246,inverse(multiply(X_246,commutator(X_245,Y))))) != commutator(X_245,commutator(Y,X_246))
| multiply(commutator(X_245,Y),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y))))))) = commutator(X_245,commutator(Y,X_246)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_245,Y),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y))))))))),bind(Y0,$fot(multiply(commutator(X_245,Y),multiply(X_246,inverse(multiply(X_246,commutator(X_245,Y))))))),bind(Z0,$fot(commutator(X_245,commutator(Y,X_246))))]]) ).
cnf(refute_0_7310,plain,
( multiply(commutator(X_245,Y),multiply(X_246,inverse(multiply(X_246,commutator(X_245,Y))))) != commutator(X_245,commutator(Y,X_246))
| multiply(commutator(X_245,Y),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y))))))) = commutator(X_245,commutator(Y,X_246)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_245,Y),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y))))))),multiply(commutator(X_245,Y),multiply(X_246,inverse(multiply(X_246,commutator(X_245,Y)))))) )],[refute_0_7308,refute_0_7309]) ).
cnf(refute_0_7311,plain,
multiply(commutator(X_245,Y),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y))))))) = commutator(X_245,commutator(Y,X_246)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_245,Y),multiply(X_246,inverse(multiply(X_246,commutator(X_245,Y))))),commutator(X_245,commutator(Y,X_246))) )],[refute_0_7275,refute_0_7310]) ).
cnf(refute_0_7312,plain,
( multiply(commutator(X_245,Y),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y))))))) != commutator(X_245,commutator(Y,X_246))
| commutator(X_245,commutator(Y,multiply(X_246,X_245))) != multiply(commutator(X_245,Y),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y)))))))
| commutator(X_245,commutator(Y,multiply(X_246,X_245))) = commutator(X_245,commutator(Y,X_246)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_245,commutator(Y,multiply(X_246,X_245))),multiply(commutator(X_245,Y),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y)))))))) ),[1],$fot(commutator(X_245,commutator(Y,X_246)))]]) ).
cnf(refute_0_7313,plain,
( commutator(X_245,commutator(Y,multiply(X_246,X_245))) != multiply(commutator(X_245,Y),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y)))))))
| commutator(X_245,commutator(Y,multiply(X_246,X_245))) = commutator(X_245,commutator(Y,X_246)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_245,Y),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y))))))),commutator(X_245,commutator(Y,X_246))) )],[refute_0_7311,refute_0_7312]) ).
cnf(refute_0_7314,plain,
( commutator(commutator(X_245,Y),multiply(X_246,X_245)) != multiply(commutator(X_245,Y),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y)))))))
| commutator(X_245,commutator(Y,multiply(X_246,X_245))) = commutator(X_245,commutator(Y,X_246)) ),
inference(resolve,[$cnf( $equal(commutator(X_245,commutator(Y,multiply(X_246,X_245))),multiply(commutator(X_245,Y),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y)))))))) )],[refute_0_7270,refute_0_7313]) ).
cnf(refute_0_7315,plain,
commutator(X_245,commutator(Y,multiply(X_246,X_245))) = commutator(X_245,commutator(Y,X_246)),
inference(resolve,[$cnf( $equal(commutator(commutator(X_245,Y),multiply(X_246,X_245)),multiply(commutator(X_245,Y),multiply(X_246,multiply(X_245,inverse(multiply(X_246,multiply(inverse(Y),multiply(X_245,Y)))))))) )],[refute_0_7267,refute_0_7314]) ).
cnf(refute_0_7316,plain,
commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_10,X_10),multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))))) = commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_10,X_10),X_260)),
inference(subst,[],[refute_0_7315:[bind(Y,$fot(multiply(X_10,X_10))),bind(X_245,$fot(multiply(X_260,inverse(multiply(X_260,X_10))))),bind(X_246,$fot(X_260))]]) ).
cnf(refute_0_7317,plain,
( commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_10,X_10),X_260)) != commutator(X_260,commutator(multiply(X_10,X_10),multiply(X_260,X_10)))
| commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_10,X_10),multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))))) != commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_10,X_10),X_260))
| commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_10,X_10),multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))))) = commutator(X_260,commutator(multiply(X_10,X_10),multiply(X_260,X_10))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_10,X_10),multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))))))),bind(Y0,$fot(commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_10,X_10),X_260)))),bind(Z0,$fot(commutator(X_260,commutator(multiply(X_10,X_10),multiply(X_260,X_10)))))]]) ).
cnf(refute_0_7318,plain,
( commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_10,X_10),X_260)) != commutator(X_260,commutator(multiply(X_10,X_10),multiply(X_260,X_10)))
| commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_10,X_10),multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))))) = commutator(X_260,commutator(multiply(X_10,X_10),multiply(X_260,X_10))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_10,X_10),multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))))),commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_10,X_10),X_260))) )],[refute_0_7316,refute_0_7317]) ).
cnf(refute_0_7319,plain,
commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_10,X_10),multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))))) = commutator(X_260,commutator(multiply(X_10,X_10),multiply(X_260,X_10))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_10,X_10),X_260)),commutator(X_260,commutator(multiply(X_10,X_10),multiply(X_260,X_10)))) )],[refute_0_7260,refute_0_7318]) ).
cnf(refute_0_7320,plain,
commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),inverse(multiply(X_10,X_10))) = commutator(multiply(X_10,X_10),multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10))))),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(multiply(X_10,X_10))),bind(X_110,$fot(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10))))))]]) ).
cnf(refute_0_7321,plain,
multiply(inverse(X_260),multiply(X_260,X_10)) = X_10,
inference(subst,[],[refute_0_39:[bind(X_10,$fot(X_260)),bind(X_11,$fot(X_10))]]) ).
cnf(refute_0_7322,plain,
multiply(X_10,multiply(inverse(X_260),multiply(X_260,X_10))) = multiply(X_10,multiply(inverse(X_260),multiply(X_260,X_10))),
introduced(tautology,[refl,[$fot(multiply(X_10,multiply(inverse(X_260),multiply(X_260,X_10))))]]) ).
cnf(refute_0_7323,plain,
( multiply(X_10,multiply(inverse(X_260),multiply(X_260,X_10))) != multiply(X_10,multiply(inverse(X_260),multiply(X_260,X_10)))
| multiply(inverse(X_260),multiply(X_260,X_10)) != X_10
| multiply(X_10,multiply(inverse(X_260),multiply(X_260,X_10))) = multiply(X_10,X_10) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_10,multiply(inverse(X_260),multiply(X_260,X_10))),multiply(X_10,multiply(inverse(X_260),multiply(X_260,X_10)))) ),[1,1],$fot(X_10)]]) ).
cnf(refute_0_7324,plain,
( multiply(inverse(X_260),multiply(X_260,X_10)) != X_10
| multiply(X_10,multiply(inverse(X_260),multiply(X_260,X_10))) = multiply(X_10,X_10) ),
inference(resolve,[$cnf( $equal(multiply(X_10,multiply(inverse(X_260),multiply(X_260,X_10))),multiply(X_10,multiply(inverse(X_260),multiply(X_260,X_10)))) )],[refute_0_7322,refute_0_7323]) ).
cnf(refute_0_7325,plain,
multiply(X_10,multiply(inverse(X_260),multiply(X_260,X_10))) = multiply(X_10,X_10),
inference(resolve,[$cnf( $equal(multiply(inverse(X_260),multiply(X_260,X_10)),X_10) )],[refute_0_7321,refute_0_7324]) ).
cnf(refute_0_7326,plain,
inverse(multiply(X_10,multiply(inverse(X_260),multiply(X_260,X_10)))) = inverse(multiply(X_10,multiply(inverse(X_260),multiply(X_260,X_10)))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_10,multiply(inverse(X_260),multiply(X_260,X_10)))))]]) ).
cnf(refute_0_7327,plain,
( multiply(X_10,multiply(inverse(X_260),multiply(X_260,X_10))) != multiply(X_10,X_10)
| inverse(multiply(X_10,multiply(inverse(X_260),multiply(X_260,X_10)))) != inverse(multiply(X_10,multiply(inverse(X_260),multiply(X_260,X_10))))
| inverse(multiply(X_10,multiply(inverse(X_260),multiply(X_260,X_10)))) = inverse(multiply(X_10,X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_10,multiply(inverse(X_260),multiply(X_260,X_10)))),inverse(multiply(X_10,multiply(inverse(X_260),multiply(X_260,X_10))))) ),[1,0],$fot(multiply(X_10,X_10))]]) ).
cnf(refute_0_7328,plain,
( multiply(X_10,multiply(inverse(X_260),multiply(X_260,X_10))) != multiply(X_10,X_10)
| inverse(multiply(X_10,multiply(inverse(X_260),multiply(X_260,X_10)))) = inverse(multiply(X_10,X_10)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,multiply(inverse(X_260),multiply(X_260,X_10)))),inverse(multiply(X_10,multiply(inverse(X_260),multiply(X_260,X_10))))) )],[refute_0_7326,refute_0_7327]) ).
cnf(refute_0_7329,plain,
inverse(multiply(X_10,multiply(inverse(X_260),multiply(X_260,X_10)))) = inverse(multiply(X_10,X_10)),
inference(resolve,[$cnf( $equal(multiply(X_10,multiply(inverse(X_260),multiply(X_260,X_10))),multiply(X_10,X_10)) )],[refute_0_7325,refute_0_7328]) ).
cnf(refute_0_7330,plain,
multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10))) = inverse(multiply(X_10,multiply(inverse(X_260),multiply(X_260,X_10)))),
inference(subst,[],[refute_0_1684:[bind(X_58,$fot(X_10)),bind(X_73,$fot(multiply(X_260,X_10))),bind(X_74,$fot(X_260))]]) ).
cnf(refute_0_7331,plain,
( multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10))) != inverse(multiply(X_10,multiply(inverse(X_260),multiply(X_260,X_10))))
| inverse(multiply(X_10,multiply(inverse(X_260),multiply(X_260,X_10)))) != inverse(multiply(X_10,X_10))
| multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10))) = inverse(multiply(X_10,X_10)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10))))),bind(Y0,$fot(inverse(multiply(X_10,multiply(inverse(X_260),multiply(X_260,X_10)))))),bind(Z0,$fot(inverse(multiply(X_10,X_10))))]]) ).
cnf(refute_0_7332,plain,
( inverse(multiply(X_10,multiply(inverse(X_260),multiply(X_260,X_10)))) != inverse(multiply(X_10,X_10))
| multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10))) = inverse(multiply(X_10,X_10)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10))),inverse(multiply(X_10,multiply(inverse(X_260),multiply(X_260,X_10))))) )],[refute_0_7330,refute_0_7331]) ).
cnf(refute_0_7333,plain,
multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10))) = inverse(multiply(X_10,X_10)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,multiply(inverse(X_260),multiply(X_260,X_10)))),inverse(multiply(X_10,X_10))) )],[refute_0_7329,refute_0_7332]) ).
cnf(refute_0_7334,plain,
commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10)))) = commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10)))),
introduced(tautology,[refl,[$fot(commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10)))))]]) ).
cnf(refute_0_7335,plain,
( multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10))) != inverse(multiply(X_10,X_10))
| commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10)))) != commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10))))
| commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10)))) = commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),inverse(multiply(X_10,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10)))),commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10))))) ),[1,1],$fot(inverse(multiply(X_10,X_10)))]]) ).
cnf(refute_0_7336,plain,
( multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10))) != inverse(multiply(X_10,X_10))
| commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10)))) = commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),inverse(multiply(X_10,X_10))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10)))),commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10))))) )],[refute_0_7334,refute_0_7335]) ).
cnf(refute_0_7337,plain,
commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10)))) = commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),inverse(multiply(X_10,X_10))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10))),inverse(multiply(X_10,X_10))) )],[refute_0_7333,refute_0_7336]) ).
cnf(refute_0_7338,plain,
( commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10)))) != commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),inverse(multiply(X_10,X_10)))
| commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),inverse(multiply(X_10,X_10))) != commutator(multiply(X_10,X_10),multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))))
| commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10)))) = commutator(multiply(X_10,X_10),multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10)))))),bind(Y0,$fot(commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),inverse(multiply(X_10,X_10))))),bind(Z0,$fot(commutator(multiply(X_10,X_10),multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))))))]]) ).
cnf(refute_0_7339,plain,
( commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),inverse(multiply(X_10,X_10))) != commutator(multiply(X_10,X_10),multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))))
| commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10)))) = commutator(multiply(X_10,X_10),multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10))))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10)))),commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),inverse(multiply(X_10,X_10)))) )],[refute_0_7337,refute_0_7338]) ).
cnf(refute_0_7340,plain,
commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10)))) = commutator(multiply(X_10,X_10),multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10))))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),inverse(multiply(X_10,X_10))),commutator(multiply(X_10,X_10),multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))))) )],[refute_0_7320,refute_0_7339]) ).
cnf(refute_0_7341,plain,
commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10))))) = commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10))))),
introduced(tautology,[refl,[$fot(commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10))))))]]) ).
cnf(refute_0_7342,plain,
( commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10)))) != commutator(multiply(X_10,X_10),multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))))
| commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10))))) != commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10)))))
| commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10))))) = commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_10,X_10),multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10))))),commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10)))))) ),[1,1],$fot(commutator(multiply(X_10,X_10),multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10))))))]]) ).
cnf(refute_0_7343,plain,
( commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10)))) != commutator(multiply(X_10,X_10),multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))))
| commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10))))) = commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_10,X_10),multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10))))),commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10)))))) )],[refute_0_7341,refute_0_7342]) ).
cnf(refute_0_7344,plain,
commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10))))) = commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_10,X_10),multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10)))),commutator(multiply(X_10,X_10),multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))))) )],[refute_0_7340,refute_0_7343]) ).
cnf(refute_0_7345,plain,
( commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_10,X_10),multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))))) != commutator(X_260,commutator(multiply(X_10,X_10),multiply(X_260,X_10)))
| commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10))))) != commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_10,X_10),multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10))))))
| commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10))))) = commutator(X_260,commutator(multiply(X_10,X_10),multiply(X_260,X_10))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10))))))),bind(Y0,$fot(commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_10,X_10),multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))))))),bind(Z0,$fot(commutator(X_260,commutator(multiply(X_10,X_10),multiply(X_260,X_10)))))]]) ).
cnf(refute_0_7346,plain,
( commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_10,X_10),multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))))) != commutator(X_260,commutator(multiply(X_10,X_10),multiply(X_260,X_10)))
| commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10))))) = commutator(X_260,commutator(multiply(X_10,X_10),multiply(X_260,X_10))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10))))),commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_10,X_10),multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10))))))) )],[refute_0_7344,refute_0_7345]) ).
cnf(refute_0_7347,plain,
commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10))))) = commutator(X_260,commutator(multiply(X_10,X_10),multiply(X_260,X_10))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_10,X_10),multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))))),commutator(X_260,commutator(multiply(X_10,X_10),multiply(X_260,X_10)))) )],[refute_0_7319,refute_0_7346]) ).
cnf(refute_0_7348,plain,
( commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10))))) != commutator(X_260,commutator(multiply(X_10,X_10),multiply(X_260,X_10)))
| identity != commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10)))))
| identity = commutator(X_260,commutator(multiply(X_10,X_10),multiply(X_260,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10)))))) ),[1],$fot(commutator(X_260,commutator(multiply(X_10,X_10),multiply(X_260,X_10))))]]) ).
cnf(refute_0_7349,plain,
( identity != commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10)))))
| identity = commutator(X_260,commutator(multiply(X_10,X_10),multiply(X_260,X_10))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10))))),commutator(X_260,commutator(multiply(X_10,X_10),multiply(X_260,X_10)))) )],[refute_0_7347,refute_0_7348]) ).
cnf(refute_0_7350,plain,
identity = commutator(X_260,commutator(multiply(X_10,X_10),multiply(X_260,X_10))),
inference(resolve,[$cnf( $equal(identity,commutator(multiply(X_260,inverse(multiply(X_260,X_10))),commutator(multiply(X_260,multiply(X_260,inverse(multiply(X_260,X_10)))),multiply(inverse(multiply(X_260,X_10)),multiply(X_260,inverse(X_10)))))) )],[refute_0_7234,refute_0_7349]) ).
cnf(refute_0_7351,plain,
identity = commutator(X_263,commutator(multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))),multiply(X_263,inverse(multiply(X_263,X_10))))),
inference(subst,[],[refute_0_7350:[bind(X_10,$fot(inverse(multiply(X_263,X_10)))),bind(X_260,$fot(X_263))]]) ).
cnf(refute_0_7352,plain,
multiply(X_263,inverse(multiply(X_263,X_10))) = inverse(multiply(X_10,commutator(X_263,X_10))),
inference(subst,[],[refute_0_598:[bind(X_58,$fot(X_263))]]) ).
cnf(refute_0_7353,plain,
( multiply(X_263,inverse(multiply(X_263,X_10))) != inverse(multiply(X_10,commutator(X_263,X_10)))
| identity != commutator(X_263,commutator(multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))),multiply(X_263,inverse(multiply(X_263,X_10)))))
| identity = commutator(X_263,commutator(multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))),inverse(multiply(X_10,commutator(X_263,X_10))))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(X_263,commutator(multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))),multiply(X_263,inverse(multiply(X_263,X_10)))))) ),[1,1,1],$fot(inverse(multiply(X_10,commutator(X_263,X_10))))]]) ).
cnf(refute_0_7354,plain,
( identity != commutator(X_263,commutator(multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))),multiply(X_263,inverse(multiply(X_263,X_10)))))
| identity = commutator(X_263,commutator(multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))),inverse(multiply(X_10,commutator(X_263,X_10))))) ),
inference(resolve,[$cnf( $equal(multiply(X_263,inverse(multiply(X_263,X_10))),inverse(multiply(X_10,commutator(X_263,X_10)))) )],[refute_0_7352,refute_0_7353]) ).
cnf(refute_0_7355,plain,
identity = commutator(X_263,commutator(multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))),inverse(multiply(X_10,commutator(X_263,X_10))))),
inference(resolve,[$cnf( $equal(identity,commutator(X_263,commutator(multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))),multiply(X_263,inverse(multiply(X_263,X_10)))))) )],[refute_0_7351,refute_0_7354]) ).
cnf(refute_0_7356,plain,
commutator(X_263,commutator(multiply(X_263,multiply(X_10,multiply(X_263,X_10))),X_10)) = commutator(X_263,commutator(X_10,multiply(X_263,multiply(X_10,multiply(X_263,X_10))))),
inference(subst,[],[refute_0_1952:[bind(X_136,$fot(multiply(X_263,multiply(X_10,multiply(X_263,X_10))))),bind(X_217,$fot(X_10)),bind(X_218,$fot(X_263))]]) ).
cnf(refute_0_7357,plain,
commutator(multiply(X_263,multiply(X_10,multiply(X_263,X_10))),commutator(X_10,X_263)) = commutator(X_263,commutator(multiply(X_263,multiply(X_10,multiply(X_263,X_10))),X_10)),
inference(subst,[],[refute_0_7253:[bind(X_217,$fot(multiply(X_263,multiply(X_10,multiply(X_263,X_10))))),bind(X_218,$fot(X_10)),bind(X_90,$fot(X_263))]]) ).
cnf(refute_0_7358,plain,
( commutator(X_263,commutator(multiply(X_263,multiply(X_10,multiply(X_263,X_10))),X_10)) != commutator(X_263,commutator(X_10,multiply(X_263,multiply(X_10,multiply(X_263,X_10)))))
| commutator(multiply(X_263,multiply(X_10,multiply(X_263,X_10))),commutator(X_10,X_263)) != commutator(X_263,commutator(multiply(X_263,multiply(X_10,multiply(X_263,X_10))),X_10))
| commutator(multiply(X_263,multiply(X_10,multiply(X_263,X_10))),commutator(X_10,X_263)) = commutator(X_263,commutator(X_10,multiply(X_263,multiply(X_10,multiply(X_263,X_10))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_263,multiply(X_10,multiply(X_263,X_10))),commutator(X_10,X_263)))),bind(Y0,$fot(commutator(X_263,commutator(multiply(X_263,multiply(X_10,multiply(X_263,X_10))),X_10)))),bind(Z0,$fot(commutator(X_263,commutator(X_10,multiply(X_263,multiply(X_10,multiply(X_263,X_10)))))))]]) ).
cnf(refute_0_7359,plain,
( commutator(X_263,commutator(multiply(X_263,multiply(X_10,multiply(X_263,X_10))),X_10)) != commutator(X_263,commutator(X_10,multiply(X_263,multiply(X_10,multiply(X_263,X_10)))))
| commutator(multiply(X_263,multiply(X_10,multiply(X_263,X_10))),commutator(X_10,X_263)) = commutator(X_263,commutator(X_10,multiply(X_263,multiply(X_10,multiply(X_263,X_10))))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_263,multiply(X_10,multiply(X_263,X_10))),commutator(X_10,X_263)),commutator(X_263,commutator(multiply(X_263,multiply(X_10,multiply(X_263,X_10))),X_10))) )],[refute_0_7357,refute_0_7358]) ).
cnf(refute_0_7360,plain,
commutator(multiply(X_263,multiply(X_10,multiply(X_263,X_10))),commutator(X_10,X_263)) = commutator(X_263,commutator(X_10,multiply(X_263,multiply(X_10,multiply(X_263,X_10))))),
inference(resolve,[$cnf( $equal(commutator(X_263,commutator(multiply(X_263,multiply(X_10,multiply(X_263,X_10))),X_10)),commutator(X_263,commutator(X_10,multiply(X_263,multiply(X_10,multiply(X_263,X_10)))))) )],[refute_0_7356,refute_0_7359]) ).
cnf(refute_0_7361,plain,
commutator(X_189,commutator(multiply(X_135,commutator(X_190,X_135)),X_190)) = commutator(X_190,commutator(multiply(X_135,commutator(X_190,X_135)),X_189)),
inference(subst,[],[refute_0_1341:[bind(Z,$fot(multiply(X_135,commutator(X_190,X_135)))),bind(X_169,$fot(X_189)),bind(X_170,$fot(X_190))]]) ).
cnf(refute_0_7362,plain,
commutator(multiply(X_135,commutator(X_190,X_135)),X_190) = commutator(X_135,X_190),
inference(subst,[],[refute_0_960:[bind(X_10,$fot(X_190))]]) ).
cnf(refute_0_7363,plain,
( commutator(X_189,commutator(multiply(X_135,commutator(X_190,X_135)),X_190)) != commutator(X_190,commutator(multiply(X_135,commutator(X_190,X_135)),X_189))
| commutator(multiply(X_135,commutator(X_190,X_135)),X_190) != commutator(X_135,X_190)
| commutator(X_189,commutator(X_135,X_190)) = commutator(X_190,commutator(multiply(X_135,commutator(X_190,X_135)),X_189)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_189,commutator(multiply(X_135,commutator(X_190,X_135)),X_190)),commutator(X_190,commutator(multiply(X_135,commutator(X_190,X_135)),X_189))) ),[0,1],$fot(commutator(X_135,X_190))]]) ).
cnf(refute_0_7364,plain,
( commutator(X_189,commutator(multiply(X_135,commutator(X_190,X_135)),X_190)) != commutator(X_190,commutator(multiply(X_135,commutator(X_190,X_135)),X_189))
| commutator(X_189,commutator(X_135,X_190)) = commutator(X_190,commutator(multiply(X_135,commutator(X_190,X_135)),X_189)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_135,commutator(X_190,X_135)),X_190),commutator(X_135,X_190)) )],[refute_0_7362,refute_0_7363]) ).
cnf(refute_0_7365,plain,
commutator(X_189,commutator(X_135,X_190)) = commutator(X_190,commutator(multiply(X_135,commutator(X_190,X_135)),X_189)),
inference(resolve,[$cnf( $equal(commutator(X_189,commutator(multiply(X_135,commutator(X_190,X_135)),X_190)),commutator(X_190,commutator(multiply(X_135,commutator(X_190,X_135)),X_189))) )],[refute_0_7361,refute_0_7364]) ).
cnf(refute_0_7366,plain,
( commutator(X_189,commutator(X_135,X_190)) != commutator(X_190,commutator(multiply(X_135,commutator(X_190,X_135)),X_189))
| commutator(X_190,commutator(multiply(X_135,commutator(X_190,X_135)),X_189)) = commutator(X_189,commutator(X_135,X_190)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_189,commutator(X_135,X_190)))),bind(Y0,$fot(commutator(X_190,commutator(multiply(X_135,commutator(X_190,X_135)),X_189))))]]) ).
cnf(refute_0_7367,plain,
commutator(X_190,commutator(multiply(X_135,commutator(X_190,X_135)),X_189)) = commutator(X_189,commutator(X_135,X_190)),
inference(resolve,[$cnf( $equal(commutator(X_189,commutator(X_135,X_190)),commutator(X_190,commutator(multiply(X_135,commutator(X_190,X_135)),X_189))) )],[refute_0_7365,refute_0_7366]) ).
cnf(refute_0_7368,plain,
commutator(X_263,commutator(multiply(X_10,commutator(X_263,X_10)),multiply(X_263,multiply(X_10,multiply(X_263,X_10))))) = commutator(multiply(X_263,multiply(X_10,multiply(X_263,X_10))),commutator(X_10,X_263)),
inference(subst,[],[refute_0_7367:[bind(X_135,$fot(X_10)),bind(X_189,$fot(multiply(X_263,multiply(X_10,multiply(X_263,X_10))))),bind(X_190,$fot(X_263))]]) ).
cnf(refute_0_7369,plain,
( commutator(X_263,commutator(multiply(X_10,commutator(X_263,X_10)),multiply(X_263,multiply(X_10,multiply(X_263,X_10))))) != commutator(multiply(X_263,multiply(X_10,multiply(X_263,X_10))),commutator(X_10,X_263))
| commutator(multiply(X_263,multiply(X_10,multiply(X_263,X_10))),commutator(X_10,X_263)) != commutator(X_263,commutator(X_10,multiply(X_263,multiply(X_10,multiply(X_263,X_10)))))
| commutator(X_263,commutator(multiply(X_10,commutator(X_263,X_10)),multiply(X_263,multiply(X_10,multiply(X_263,X_10))))) = commutator(X_263,commutator(X_10,multiply(X_263,multiply(X_10,multiply(X_263,X_10))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(X_263,commutator(multiply(X_10,commutator(X_263,X_10)),multiply(X_263,multiply(X_10,multiply(X_263,X_10))))))),bind(Y0,$fot(commutator(multiply(X_263,multiply(X_10,multiply(X_263,X_10))),commutator(X_10,X_263)))),bind(Z0,$fot(commutator(X_263,commutator(X_10,multiply(X_263,multiply(X_10,multiply(X_263,X_10)))))))]]) ).
cnf(refute_0_7370,plain,
( commutator(multiply(X_263,multiply(X_10,multiply(X_263,X_10))),commutator(X_10,X_263)) != commutator(X_263,commutator(X_10,multiply(X_263,multiply(X_10,multiply(X_263,X_10)))))
| commutator(X_263,commutator(multiply(X_10,commutator(X_263,X_10)),multiply(X_263,multiply(X_10,multiply(X_263,X_10))))) = commutator(X_263,commutator(X_10,multiply(X_263,multiply(X_10,multiply(X_263,X_10))))) ),
inference(resolve,[$cnf( $equal(commutator(X_263,commutator(multiply(X_10,commutator(X_263,X_10)),multiply(X_263,multiply(X_10,multiply(X_263,X_10))))),commutator(multiply(X_263,multiply(X_10,multiply(X_263,X_10))),commutator(X_10,X_263))) )],[refute_0_7368,refute_0_7369]) ).
cnf(refute_0_7371,plain,
commutator(X_263,commutator(multiply(X_10,commutator(X_263,X_10)),multiply(X_263,multiply(X_10,multiply(X_263,X_10))))) = commutator(X_263,commutator(X_10,multiply(X_263,multiply(X_10,multiply(X_263,X_10))))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_263,multiply(X_10,multiply(X_263,X_10))),commutator(X_10,X_263)),commutator(X_263,commutator(X_10,multiply(X_263,multiply(X_10,multiply(X_263,X_10)))))) )],[refute_0_7360,refute_0_7370]) ).
cnf(refute_0_7372,plain,
inverse(inverse(multiply(X_263,X_10))) = multiply(X_263,X_10),
inference(subst,[],[refute_0_152:[bind(X_27,$fot(multiply(X_263,X_10)))]]) ).
cnf(refute_0_7373,plain,
multiply(X_10,inverse(inverse(multiply(X_263,X_10)))) = multiply(X_10,inverse(inverse(multiply(X_263,X_10)))),
introduced(tautology,[refl,[$fot(multiply(X_10,inverse(inverse(multiply(X_263,X_10)))))]]) ).
cnf(refute_0_7374,plain,
( multiply(X_10,inverse(inverse(multiply(X_263,X_10)))) != multiply(X_10,inverse(inverse(multiply(X_263,X_10))))
| inverse(inverse(multiply(X_263,X_10))) != multiply(X_263,X_10)
| multiply(X_10,inverse(inverse(multiply(X_263,X_10)))) = multiply(X_10,multiply(X_263,X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_10,inverse(inverse(multiply(X_263,X_10)))),multiply(X_10,inverse(inverse(multiply(X_263,X_10))))) ),[1,1],$fot(multiply(X_263,X_10))]]) ).
cnf(refute_0_7375,plain,
( inverse(inverse(multiply(X_263,X_10))) != multiply(X_263,X_10)
| multiply(X_10,inverse(inverse(multiply(X_263,X_10)))) = multiply(X_10,multiply(X_263,X_10)) ),
inference(resolve,[$cnf( $equal(multiply(X_10,inverse(inverse(multiply(X_263,X_10)))),multiply(X_10,inverse(inverse(multiply(X_263,X_10))))) )],[refute_0_7373,refute_0_7374]) ).
cnf(refute_0_7376,plain,
multiply(X_10,inverse(inverse(multiply(X_263,X_10)))) = multiply(X_10,multiply(X_263,X_10)),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_263,X_10))),multiply(X_263,X_10)) )],[refute_0_7372,refute_0_7375]) ).
cnf(refute_0_7377,plain,
multiply(X_263,multiply(X_10,inverse(inverse(multiply(X_263,X_10))))) = multiply(X_263,multiply(X_10,inverse(inverse(multiply(X_263,X_10))))),
introduced(tautology,[refl,[$fot(multiply(X_263,multiply(X_10,inverse(inverse(multiply(X_263,X_10))))))]]) ).
cnf(refute_0_7378,plain,
( multiply(X_10,inverse(inverse(multiply(X_263,X_10)))) != multiply(X_10,multiply(X_263,X_10))
| multiply(X_263,multiply(X_10,inverse(inverse(multiply(X_263,X_10))))) != multiply(X_263,multiply(X_10,inverse(inverse(multiply(X_263,X_10)))))
| multiply(X_263,multiply(X_10,inverse(inverse(multiply(X_263,X_10))))) = multiply(X_263,multiply(X_10,multiply(X_263,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_263,multiply(X_10,inverse(inverse(multiply(X_263,X_10))))),multiply(X_263,multiply(X_10,inverse(inverse(multiply(X_263,X_10)))))) ),[1,1],$fot(multiply(X_10,multiply(X_263,X_10)))]]) ).
cnf(refute_0_7379,plain,
( multiply(X_10,inverse(inverse(multiply(X_263,X_10)))) != multiply(X_10,multiply(X_263,X_10))
| multiply(X_263,multiply(X_10,inverse(inverse(multiply(X_263,X_10))))) = multiply(X_263,multiply(X_10,multiply(X_263,X_10))) ),
inference(resolve,[$cnf( $equal(multiply(X_263,multiply(X_10,inverse(inverse(multiply(X_263,X_10))))),multiply(X_263,multiply(X_10,inverse(inverse(multiply(X_263,X_10)))))) )],[refute_0_7377,refute_0_7378]) ).
cnf(refute_0_7380,plain,
multiply(X_263,multiply(X_10,inverse(inverse(multiply(X_263,X_10))))) = multiply(X_263,multiply(X_10,multiply(X_263,X_10))),
inference(resolve,[$cnf( $equal(multiply(X_10,inverse(inverse(multiply(X_263,X_10)))),multiply(X_10,multiply(X_263,X_10))) )],[refute_0_7376,refute_0_7379]) ).
cnf(refute_0_7381,plain,
multiply(multiply(X_263,X_10),inverse(inverse(multiply(X_263,X_10)))) = multiply(X_263,multiply(X_10,inverse(inverse(multiply(X_263,X_10))))),
inference(subst,[],[associativity:[bind(X,$fot(X_263)),bind(Y,$fot(X_10)),bind(Z,$fot(inverse(inverse(multiply(X_263,X_10)))))]]) ).
cnf(refute_0_7382,plain,
( multiply(X_263,multiply(X_10,inverse(inverse(multiply(X_263,X_10))))) != multiply(X_263,multiply(X_10,multiply(X_263,X_10)))
| multiply(multiply(X_263,X_10),inverse(inverse(multiply(X_263,X_10)))) != multiply(X_263,multiply(X_10,inverse(inverse(multiply(X_263,X_10)))))
| multiply(multiply(X_263,X_10),inverse(inverse(multiply(X_263,X_10)))) = multiply(X_263,multiply(X_10,multiply(X_263,X_10))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_263,X_10),inverse(inverse(multiply(X_263,X_10)))))),bind(Y0,$fot(multiply(X_263,multiply(X_10,inverse(inverse(multiply(X_263,X_10))))))),bind(Z0,$fot(multiply(X_263,multiply(X_10,multiply(X_263,X_10)))))]]) ).
cnf(refute_0_7383,plain,
( multiply(X_263,multiply(X_10,inverse(inverse(multiply(X_263,X_10))))) != multiply(X_263,multiply(X_10,multiply(X_263,X_10)))
| multiply(multiply(X_263,X_10),inverse(inverse(multiply(X_263,X_10)))) = multiply(X_263,multiply(X_10,multiply(X_263,X_10))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_263,X_10),inverse(inverse(multiply(X_263,X_10)))),multiply(X_263,multiply(X_10,inverse(inverse(multiply(X_263,X_10)))))) )],[refute_0_7381,refute_0_7382]) ).
cnf(refute_0_7384,plain,
multiply(multiply(X_263,X_10),inverse(inverse(multiply(X_263,X_10)))) = multiply(X_263,multiply(X_10,multiply(X_263,X_10))),
inference(resolve,[$cnf( $equal(multiply(X_263,multiply(X_10,inverse(inverse(multiply(X_263,X_10))))),multiply(X_263,multiply(X_10,multiply(X_263,X_10)))) )],[refute_0_7380,refute_0_7383]) ).
cnf(refute_0_7385,plain,
commutator(multiply(X_10,commutator(X_263,X_10)),multiply(multiply(X_263,X_10),inverse(inverse(multiply(X_263,X_10))))) = commutator(multiply(X_10,commutator(X_263,X_10)),multiply(multiply(X_263,X_10),inverse(inverse(multiply(X_263,X_10))))),
introduced(tautology,[refl,[$fot(commutator(multiply(X_10,commutator(X_263,X_10)),multiply(multiply(X_263,X_10),inverse(inverse(multiply(X_263,X_10))))))]]) ).
cnf(refute_0_7386,plain,
( multiply(multiply(X_263,X_10),inverse(inverse(multiply(X_263,X_10)))) != multiply(X_263,multiply(X_10,multiply(X_263,X_10)))
| commutator(multiply(X_10,commutator(X_263,X_10)),multiply(multiply(X_263,X_10),inverse(inverse(multiply(X_263,X_10))))) != commutator(multiply(X_10,commutator(X_263,X_10)),multiply(multiply(X_263,X_10),inverse(inverse(multiply(X_263,X_10)))))
| commutator(multiply(X_10,commutator(X_263,X_10)),multiply(multiply(X_263,X_10),inverse(inverse(multiply(X_263,X_10))))) = commutator(multiply(X_10,commutator(X_263,X_10)),multiply(X_263,multiply(X_10,multiply(X_263,X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_10,commutator(X_263,X_10)),multiply(multiply(X_263,X_10),inverse(inverse(multiply(X_263,X_10))))),commutator(multiply(X_10,commutator(X_263,X_10)),multiply(multiply(X_263,X_10),inverse(inverse(multiply(X_263,X_10)))))) ),[1,1],$fot(multiply(X_263,multiply(X_10,multiply(X_263,X_10))))]]) ).
cnf(refute_0_7387,plain,
( multiply(multiply(X_263,X_10),inverse(inverse(multiply(X_263,X_10)))) != multiply(X_263,multiply(X_10,multiply(X_263,X_10)))
| commutator(multiply(X_10,commutator(X_263,X_10)),multiply(multiply(X_263,X_10),inverse(inverse(multiply(X_263,X_10))))) = commutator(multiply(X_10,commutator(X_263,X_10)),multiply(X_263,multiply(X_10,multiply(X_263,X_10)))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_10,commutator(X_263,X_10)),multiply(multiply(X_263,X_10),inverse(inverse(multiply(X_263,X_10))))),commutator(multiply(X_10,commutator(X_263,X_10)),multiply(multiply(X_263,X_10),inverse(inverse(multiply(X_263,X_10)))))) )],[refute_0_7385,refute_0_7386]) ).
cnf(refute_0_7388,plain,
commutator(multiply(X_10,commutator(X_263,X_10)),multiply(multiply(X_263,X_10),inverse(inverse(multiply(X_263,X_10))))) = commutator(multiply(X_10,commutator(X_263,X_10)),multiply(X_263,multiply(X_10,multiply(X_263,X_10)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_263,X_10),inverse(inverse(multiply(X_263,X_10)))),multiply(X_263,multiply(X_10,multiply(X_263,X_10)))) )],[refute_0_7384,refute_0_7387]) ).
cnf(refute_0_7389,plain,
commutator(multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))),multiply(X_10,commutator(X_263,X_10))) = commutator(multiply(X_10,commutator(X_263,X_10)),multiply(multiply(X_263,X_10),inverse(inverse(multiply(X_263,X_10))))),
inference(subst,[],[refute_0_2366:[bind(X_10,$fot(multiply(X_10,commutator(X_263,X_10)))),bind(X_171,$fot(multiply(X_263,X_10))),bind(X_173,$fot(inverse(multiply(X_263,X_10))))]]) ).
cnf(refute_0_7390,plain,
commutator(inverse(multiply(X_10,commutator(X_263,X_10))),multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10)))) = commutator(multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))),multiply(X_10,commutator(X_263,X_10))),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(multiply(X_10,commutator(X_263,X_10)))),bind(X_110,$fot(multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10)))))]]) ).
cnf(refute_0_7391,plain,
( commutator(multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))),multiply(X_10,commutator(X_263,X_10))) != commutator(multiply(X_10,commutator(X_263,X_10)),multiply(multiply(X_263,X_10),inverse(inverse(multiply(X_263,X_10)))))
| commutator(inverse(multiply(X_10,commutator(X_263,X_10))),multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10)))) != commutator(multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))),multiply(X_10,commutator(X_263,X_10)))
| commutator(inverse(multiply(X_10,commutator(X_263,X_10))),multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10)))) = commutator(multiply(X_10,commutator(X_263,X_10)),multiply(multiply(X_263,X_10),inverse(inverse(multiply(X_263,X_10))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(inverse(multiply(X_10,commutator(X_263,X_10))),multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10)))))),bind(Y0,$fot(commutator(multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))),multiply(X_10,commutator(X_263,X_10))))),bind(Z0,$fot(commutator(multiply(X_10,commutator(X_263,X_10)),multiply(multiply(X_263,X_10),inverse(inverse(multiply(X_263,X_10)))))))]]) ).
cnf(refute_0_7392,plain,
( commutator(multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))),multiply(X_10,commutator(X_263,X_10))) != commutator(multiply(X_10,commutator(X_263,X_10)),multiply(multiply(X_263,X_10),inverse(inverse(multiply(X_263,X_10)))))
| commutator(inverse(multiply(X_10,commutator(X_263,X_10))),multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10)))) = commutator(multiply(X_10,commutator(X_263,X_10)),multiply(multiply(X_263,X_10),inverse(inverse(multiply(X_263,X_10))))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_10,commutator(X_263,X_10))),multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10)))),commutator(multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))),multiply(X_10,commutator(X_263,X_10)))) )],[refute_0_7390,refute_0_7391]) ).
cnf(refute_0_7393,plain,
commutator(inverse(multiply(X_10,commutator(X_263,X_10))),multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10)))) = commutator(multiply(X_10,commutator(X_263,X_10)),multiply(multiply(X_263,X_10),inverse(inverse(multiply(X_263,X_10))))),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))),multiply(X_10,commutator(X_263,X_10))),commutator(multiply(X_10,commutator(X_263,X_10)),multiply(multiply(X_263,X_10),inverse(inverse(multiply(X_263,X_10)))))) )],[refute_0_7389,refute_0_7392]) ).
cnf(refute_0_7394,plain,
( commutator(multiply(X_10,commutator(X_263,X_10)),multiply(multiply(X_263,X_10),inverse(inverse(multiply(X_263,X_10))))) != commutator(multiply(X_10,commutator(X_263,X_10)),multiply(X_263,multiply(X_10,multiply(X_263,X_10))))
| commutator(inverse(multiply(X_10,commutator(X_263,X_10))),multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10)))) != commutator(multiply(X_10,commutator(X_263,X_10)),multiply(multiply(X_263,X_10),inverse(inverse(multiply(X_263,X_10)))))
| commutator(inverse(multiply(X_10,commutator(X_263,X_10))),multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10)))) = commutator(multiply(X_10,commutator(X_263,X_10)),multiply(X_263,multiply(X_10,multiply(X_263,X_10)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(inverse(multiply(X_10,commutator(X_263,X_10))),multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10)))))),bind(Y0,$fot(commutator(multiply(X_10,commutator(X_263,X_10)),multiply(multiply(X_263,X_10),inverse(inverse(multiply(X_263,X_10))))))),bind(Z0,$fot(commutator(multiply(X_10,commutator(X_263,X_10)),multiply(X_263,multiply(X_10,multiply(X_263,X_10))))))]]) ).
cnf(refute_0_7395,plain,
( commutator(multiply(X_10,commutator(X_263,X_10)),multiply(multiply(X_263,X_10),inverse(inverse(multiply(X_263,X_10))))) != commutator(multiply(X_10,commutator(X_263,X_10)),multiply(X_263,multiply(X_10,multiply(X_263,X_10))))
| commutator(inverse(multiply(X_10,commutator(X_263,X_10))),multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10)))) = commutator(multiply(X_10,commutator(X_263,X_10)),multiply(X_263,multiply(X_10,multiply(X_263,X_10)))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_10,commutator(X_263,X_10))),multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10)))),commutator(multiply(X_10,commutator(X_263,X_10)),multiply(multiply(X_263,X_10),inverse(inverse(multiply(X_263,X_10)))))) )],[refute_0_7393,refute_0_7394]) ).
cnf(refute_0_7396,plain,
commutator(inverse(multiply(X_10,commutator(X_263,X_10))),multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10)))) = commutator(multiply(X_10,commutator(X_263,X_10)),multiply(X_263,multiply(X_10,multiply(X_263,X_10)))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_10,commutator(X_263,X_10)),multiply(multiply(X_263,X_10),inverse(inverse(multiply(X_263,X_10))))),commutator(multiply(X_10,commutator(X_263,X_10)),multiply(X_263,multiply(X_10,multiply(X_263,X_10))))) )],[refute_0_7388,refute_0_7395]) ).
cnf(refute_0_7397,plain,
commutator(X_263,commutator(inverse(multiply(X_10,commutator(X_263,X_10))),multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))))) = commutator(X_263,commutator(inverse(multiply(X_10,commutator(X_263,X_10))),multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))))),
introduced(tautology,[refl,[$fot(commutator(X_263,commutator(inverse(multiply(X_10,commutator(X_263,X_10))),multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))))))]]) ).
cnf(refute_0_7398,plain,
( commutator(X_263,commutator(inverse(multiply(X_10,commutator(X_263,X_10))),multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))))) != commutator(X_263,commutator(inverse(multiply(X_10,commutator(X_263,X_10))),multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10)))))
| commutator(inverse(multiply(X_10,commutator(X_263,X_10))),multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10)))) != commutator(multiply(X_10,commutator(X_263,X_10)),multiply(X_263,multiply(X_10,multiply(X_263,X_10))))
| commutator(X_263,commutator(inverse(multiply(X_10,commutator(X_263,X_10))),multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))))) = commutator(X_263,commutator(multiply(X_10,commutator(X_263,X_10)),multiply(X_263,multiply(X_10,multiply(X_263,X_10))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_263,commutator(inverse(multiply(X_10,commutator(X_263,X_10))),multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))))),commutator(X_263,commutator(inverse(multiply(X_10,commutator(X_263,X_10))),multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10)))))) ),[1,1],$fot(commutator(multiply(X_10,commutator(X_263,X_10)),multiply(X_263,multiply(X_10,multiply(X_263,X_10)))))]]) ).
cnf(refute_0_7399,plain,
( commutator(inverse(multiply(X_10,commutator(X_263,X_10))),multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10)))) != commutator(multiply(X_10,commutator(X_263,X_10)),multiply(X_263,multiply(X_10,multiply(X_263,X_10))))
| commutator(X_263,commutator(inverse(multiply(X_10,commutator(X_263,X_10))),multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))))) = commutator(X_263,commutator(multiply(X_10,commutator(X_263,X_10)),multiply(X_263,multiply(X_10,multiply(X_263,X_10))))) ),
inference(resolve,[$cnf( $equal(commutator(X_263,commutator(inverse(multiply(X_10,commutator(X_263,X_10))),multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))))),commutator(X_263,commutator(inverse(multiply(X_10,commutator(X_263,X_10))),multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10)))))) )],[refute_0_7397,refute_0_7398]) ).
cnf(refute_0_7400,plain,
commutator(X_263,commutator(inverse(multiply(X_10,commutator(X_263,X_10))),multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))))) = commutator(X_263,commutator(multiply(X_10,commutator(X_263,X_10)),multiply(X_263,multiply(X_10,multiply(X_263,X_10))))),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_10,commutator(X_263,X_10))),multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10)))),commutator(multiply(X_10,commutator(X_263,X_10)),multiply(X_263,multiply(X_10,multiply(X_263,X_10))))) )],[refute_0_7396,refute_0_7399]) ).
cnf(refute_0_7401,plain,
( commutator(X_263,commutator(multiply(X_10,commutator(X_263,X_10)),multiply(X_263,multiply(X_10,multiply(X_263,X_10))))) != commutator(X_263,commutator(X_10,multiply(X_263,multiply(X_10,multiply(X_263,X_10)))))
| commutator(X_263,commutator(inverse(multiply(X_10,commutator(X_263,X_10))),multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))))) != commutator(X_263,commutator(multiply(X_10,commutator(X_263,X_10)),multiply(X_263,multiply(X_10,multiply(X_263,X_10)))))
| commutator(X_263,commutator(inverse(multiply(X_10,commutator(X_263,X_10))),multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))))) = commutator(X_263,commutator(X_10,multiply(X_263,multiply(X_10,multiply(X_263,X_10))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(X_263,commutator(inverse(multiply(X_10,commutator(X_263,X_10))),multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))))))),bind(Y0,$fot(commutator(X_263,commutator(multiply(X_10,commutator(X_263,X_10)),multiply(X_263,multiply(X_10,multiply(X_263,X_10))))))),bind(Z0,$fot(commutator(X_263,commutator(X_10,multiply(X_263,multiply(X_10,multiply(X_263,X_10)))))))]]) ).
cnf(refute_0_7402,plain,
( commutator(X_263,commutator(multiply(X_10,commutator(X_263,X_10)),multiply(X_263,multiply(X_10,multiply(X_263,X_10))))) != commutator(X_263,commutator(X_10,multiply(X_263,multiply(X_10,multiply(X_263,X_10)))))
| commutator(X_263,commutator(inverse(multiply(X_10,commutator(X_263,X_10))),multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))))) = commutator(X_263,commutator(X_10,multiply(X_263,multiply(X_10,multiply(X_263,X_10))))) ),
inference(resolve,[$cnf( $equal(commutator(X_263,commutator(inverse(multiply(X_10,commutator(X_263,X_10))),multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))))),commutator(X_263,commutator(multiply(X_10,commutator(X_263,X_10)),multiply(X_263,multiply(X_10,multiply(X_263,X_10)))))) )],[refute_0_7400,refute_0_7401]) ).
cnf(refute_0_7403,plain,
commutator(X_263,commutator(inverse(multiply(X_10,commutator(X_263,X_10))),multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))))) = commutator(X_263,commutator(X_10,multiply(X_263,multiply(X_10,multiply(X_263,X_10))))),
inference(resolve,[$cnf( $equal(commutator(X_263,commutator(multiply(X_10,commutator(X_263,X_10)),multiply(X_263,multiply(X_10,multiply(X_263,X_10))))),commutator(X_263,commutator(X_10,multiply(X_263,multiply(X_10,multiply(X_263,X_10)))))) )],[refute_0_7371,refute_0_7402]) ).
cnf(refute_0_7404,plain,
commutator(X_263,commutator(multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))),inverse(multiply(X_10,commutator(X_263,X_10))))) = commutator(X_263,commutator(inverse(multiply(X_10,commutator(X_263,X_10))),multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))))),
inference(subst,[],[refute_0_1952:[bind(X_136,$fot(multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))))),bind(X_217,$fot(inverse(multiply(X_10,commutator(X_263,X_10))))),bind(X_218,$fot(X_263))]]) ).
cnf(refute_0_7405,plain,
( commutator(X_263,commutator(multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))),inverse(multiply(X_10,commutator(X_263,X_10))))) != commutator(X_263,commutator(inverse(multiply(X_10,commutator(X_263,X_10))),multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10)))))
| commutator(X_263,commutator(inverse(multiply(X_10,commutator(X_263,X_10))),multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))))) != commutator(X_263,commutator(X_10,multiply(X_263,multiply(X_10,multiply(X_263,X_10)))))
| commutator(X_263,commutator(multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))),inverse(multiply(X_10,commutator(X_263,X_10))))) = commutator(X_263,commutator(X_10,multiply(X_263,multiply(X_10,multiply(X_263,X_10))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(X_263,commutator(multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))),inverse(multiply(X_10,commutator(X_263,X_10))))))),bind(Y0,$fot(commutator(X_263,commutator(inverse(multiply(X_10,commutator(X_263,X_10))),multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))))))),bind(Z0,$fot(commutator(X_263,commutator(X_10,multiply(X_263,multiply(X_10,multiply(X_263,X_10)))))))]]) ).
cnf(refute_0_7406,plain,
( commutator(X_263,commutator(inverse(multiply(X_10,commutator(X_263,X_10))),multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))))) != commutator(X_263,commutator(X_10,multiply(X_263,multiply(X_10,multiply(X_263,X_10)))))
| commutator(X_263,commutator(multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))),inverse(multiply(X_10,commutator(X_263,X_10))))) = commutator(X_263,commutator(X_10,multiply(X_263,multiply(X_10,multiply(X_263,X_10))))) ),
inference(resolve,[$cnf( $equal(commutator(X_263,commutator(multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))),inverse(multiply(X_10,commutator(X_263,X_10))))),commutator(X_263,commutator(inverse(multiply(X_10,commutator(X_263,X_10))),multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10)))))) )],[refute_0_7404,refute_0_7405]) ).
cnf(refute_0_7407,plain,
commutator(X_263,commutator(multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))),inverse(multiply(X_10,commutator(X_263,X_10))))) = commutator(X_263,commutator(X_10,multiply(X_263,multiply(X_10,multiply(X_263,X_10))))),
inference(resolve,[$cnf( $equal(commutator(X_263,commutator(inverse(multiply(X_10,commutator(X_263,X_10))),multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))))),commutator(X_263,commutator(X_10,multiply(X_263,multiply(X_10,multiply(X_263,X_10)))))) )],[refute_0_7403,refute_0_7406]) ).
cnf(refute_0_7408,plain,
( commutator(X_263,commutator(multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))),inverse(multiply(X_10,commutator(X_263,X_10))))) != commutator(X_263,commutator(X_10,multiply(X_263,multiply(X_10,multiply(X_263,X_10)))))
| identity != commutator(X_263,commutator(multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))),inverse(multiply(X_10,commutator(X_263,X_10)))))
| identity = commutator(X_263,commutator(X_10,multiply(X_263,multiply(X_10,multiply(X_263,X_10))))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(X_263,commutator(multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))),inverse(multiply(X_10,commutator(X_263,X_10)))))) ),[1],$fot(commutator(X_263,commutator(X_10,multiply(X_263,multiply(X_10,multiply(X_263,X_10))))))]]) ).
cnf(refute_0_7409,plain,
( identity != commutator(X_263,commutator(multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))),inverse(multiply(X_10,commutator(X_263,X_10)))))
| identity = commutator(X_263,commutator(X_10,multiply(X_263,multiply(X_10,multiply(X_263,X_10))))) ),
inference(resolve,[$cnf( $equal(commutator(X_263,commutator(multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))),inverse(multiply(X_10,commutator(X_263,X_10))))),commutator(X_263,commutator(X_10,multiply(X_263,multiply(X_10,multiply(X_263,X_10)))))) )],[refute_0_7407,refute_0_7408]) ).
cnf(refute_0_7410,plain,
identity = commutator(X_263,commutator(X_10,multiply(X_263,multiply(X_10,multiply(X_263,X_10))))),
inference(resolve,[$cnf( $equal(identity,commutator(X_263,commutator(multiply(inverse(multiply(X_263,X_10)),inverse(multiply(X_263,X_10))),inverse(multiply(X_10,commutator(X_263,X_10)))))) )],[refute_0_7355,refute_0_7409]) ).
cnf(refute_0_7411,plain,
identity = commutator(inverse(multiply(X_128,X_276)),commutator(X_276,multiply(inverse(multiply(X_128,X_276)),multiply(X_276,multiply(inverse(multiply(X_128,X_276)),X_276))))),
inference(subst,[],[refute_0_7410:[bind(X_10,$fot(X_276)),bind(X_263,$fot(inverse(multiply(X_128,X_276))))]]) ).
cnf(refute_0_7412,plain,
inverse(multiply(X_128,commutator(X_128,X_276))) = multiply(inverse(multiply(X_128,X_276)),X_276),
inference(subst,[],[refute_0_814:[bind(X_127,$fot(X_276))]]) ).
cnf(refute_0_7413,plain,
( inverse(multiply(X_128,commutator(X_128,X_276))) != multiply(inverse(multiply(X_128,X_276)),X_276)
| multiply(inverse(multiply(X_128,X_276)),X_276) = inverse(multiply(X_128,commutator(X_128,X_276))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(inverse(multiply(X_128,commutator(X_128,X_276))))),bind(Y0,$fot(multiply(inverse(multiply(X_128,X_276)),X_276)))]]) ).
cnf(refute_0_7414,plain,
multiply(inverse(multiply(X_128,X_276)),X_276) = inverse(multiply(X_128,commutator(X_128,X_276))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_128,commutator(X_128,X_276))),multiply(inverse(multiply(X_128,X_276)),X_276)) )],[refute_0_7412,refute_0_7413]) ).
cnf(refute_0_7415,plain,
( multiply(inverse(multiply(X_128,X_276)),X_276) != inverse(multiply(X_128,commutator(X_128,X_276)))
| identity != commutator(inverse(multiply(X_128,X_276)),commutator(X_276,multiply(inverse(multiply(X_128,X_276)),multiply(X_276,multiply(inverse(multiply(X_128,X_276)),X_276)))))
| identity = commutator(inverse(multiply(X_128,X_276)),commutator(X_276,multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(inverse(multiply(X_128,X_276)),commutator(X_276,multiply(inverse(multiply(X_128,X_276)),multiply(X_276,multiply(inverse(multiply(X_128,X_276)),X_276)))))) ),[1,1,1,1,1],$fot(inverse(multiply(X_128,commutator(X_128,X_276))))]]) ).
cnf(refute_0_7416,plain,
( identity != commutator(inverse(multiply(X_128,X_276)),commutator(X_276,multiply(inverse(multiply(X_128,X_276)),multiply(X_276,multiply(inverse(multiply(X_128,X_276)),X_276)))))
| identity = commutator(inverse(multiply(X_128,X_276)),commutator(X_276,multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_128,X_276)),X_276),inverse(multiply(X_128,commutator(X_128,X_276)))) )],[refute_0_7414,refute_0_7415]) ).
cnf(refute_0_7417,plain,
identity = commutator(inverse(multiply(X_128,X_276)),commutator(X_276,multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))))),
inference(resolve,[$cnf( $equal(identity,commutator(inverse(multiply(X_128,X_276)),commutator(X_276,multiply(inverse(multiply(X_128,X_276)),multiply(X_276,multiply(inverse(multiply(X_128,X_276)),X_276)))))) )],[refute_0_7411,refute_0_7416]) ).
cnf(refute_0_7418,plain,
multiply(X_128,inverse(multiply(X_276,commutator(X_276,X_128)))) = multiply(inverse(X_276),X_128),
inference(subst,[],[refute_0_2505:[bind(X_10,$fot(X_276)),bind(X_75,$fot(X_128))]]) ).
cnf(refute_0_7419,plain,
multiply(commutator(X_128,X_276),inverse(X_276)) = inverse(multiply(X_276,commutator(X_276,X_128))),
inference(subst,[],[refute_0_378:[bind(X_58,$fot(X_276)),bind(X_65,$fot(X_128)),bind(X_66,$fot(X_276))]]) ).
cnf(refute_0_7420,plain,
multiply(X_128,multiply(commutator(X_128,X_276),inverse(X_276))) = multiply(X_128,multiply(commutator(X_128,X_276),inverse(X_276))),
introduced(tautology,[refl,[$fot(multiply(X_128,multiply(commutator(X_128,X_276),inverse(X_276))))]]) ).
cnf(refute_0_7421,plain,
( multiply(X_128,multiply(commutator(X_128,X_276),inverse(X_276))) != multiply(X_128,multiply(commutator(X_128,X_276),inverse(X_276)))
| multiply(commutator(X_128,X_276),inverse(X_276)) != inverse(multiply(X_276,commutator(X_276,X_128)))
| multiply(X_128,multiply(commutator(X_128,X_276),inverse(X_276))) = multiply(X_128,inverse(multiply(X_276,commutator(X_276,X_128)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_128,multiply(commutator(X_128,X_276),inverse(X_276))),multiply(X_128,multiply(commutator(X_128,X_276),inverse(X_276)))) ),[1,1],$fot(inverse(multiply(X_276,commutator(X_276,X_128))))]]) ).
cnf(refute_0_7422,plain,
( multiply(commutator(X_128,X_276),inverse(X_276)) != inverse(multiply(X_276,commutator(X_276,X_128)))
| multiply(X_128,multiply(commutator(X_128,X_276),inverse(X_276))) = multiply(X_128,inverse(multiply(X_276,commutator(X_276,X_128)))) ),
inference(resolve,[$cnf( $equal(multiply(X_128,multiply(commutator(X_128,X_276),inverse(X_276))),multiply(X_128,multiply(commutator(X_128,X_276),inverse(X_276)))) )],[refute_0_7420,refute_0_7421]) ).
cnf(refute_0_7423,plain,
multiply(X_128,multiply(commutator(X_128,X_276),inverse(X_276))) = multiply(X_128,inverse(multiply(X_276,commutator(X_276,X_128)))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_128,X_276),inverse(X_276)),inverse(multiply(X_276,commutator(X_276,X_128)))) )],[refute_0_7419,refute_0_7422]) ).
cnf(refute_0_7424,plain,
( multiply(X_128,multiply(commutator(X_128,X_276),inverse(X_276))) != multiply(X_128,inverse(multiply(X_276,commutator(X_276,X_128))))
| multiply(X_128,inverse(multiply(X_276,commutator(X_276,X_128)))) != multiply(inverse(X_276),X_128)
| multiply(X_128,multiply(commutator(X_128,X_276),inverse(X_276))) = multiply(inverse(X_276),X_128) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_128,multiply(commutator(X_128,X_276),inverse(X_276))))),bind(Y0,$fot(multiply(X_128,inverse(multiply(X_276,commutator(X_276,X_128)))))),bind(Z0,$fot(multiply(inverse(X_276),X_128)))]]) ).
cnf(refute_0_7425,plain,
( multiply(X_128,inverse(multiply(X_276,commutator(X_276,X_128)))) != multiply(inverse(X_276),X_128)
| multiply(X_128,multiply(commutator(X_128,X_276),inverse(X_276))) = multiply(inverse(X_276),X_128) ),
inference(resolve,[$cnf( $equal(multiply(X_128,multiply(commutator(X_128,X_276),inverse(X_276))),multiply(X_128,inverse(multiply(X_276,commutator(X_276,X_128))))) )],[refute_0_7423,refute_0_7424]) ).
cnf(refute_0_7426,plain,
multiply(X_128,multiply(commutator(X_128,X_276),inverse(X_276))) = multiply(inverse(X_276),X_128),
inference(resolve,[$cnf( $equal(multiply(X_128,inverse(multiply(X_276,commutator(X_276,X_128)))),multiply(inverse(X_276),X_128)) )],[refute_0_7418,refute_0_7425]) ).
cnf(refute_0_7427,plain,
multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276)) = multiply(X_128,multiply(commutator(X_128,X_276),inverse(X_276))),
inference(subst,[],[associativity:[bind(X,$fot(X_128)),bind(Y,$fot(commutator(X_128,X_276))),bind(Z,$fot(inverse(X_276)))]]) ).
cnf(refute_0_7428,plain,
( multiply(X_128,multiply(commutator(X_128,X_276),inverse(X_276))) != multiply(inverse(X_276),X_128)
| multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276)) != multiply(X_128,multiply(commutator(X_128,X_276),inverse(X_276)))
| multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276)) = multiply(inverse(X_276),X_128) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276)))),bind(Y0,$fot(multiply(X_128,multiply(commutator(X_128,X_276),inverse(X_276))))),bind(Z0,$fot(multiply(inverse(X_276),X_128)))]]) ).
cnf(refute_0_7429,plain,
( multiply(X_128,multiply(commutator(X_128,X_276),inverse(X_276))) != multiply(inverse(X_276),X_128)
| multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276)) = multiply(inverse(X_276),X_128) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276)),multiply(X_128,multiply(commutator(X_128,X_276),inverse(X_276)))) )],[refute_0_7427,refute_0_7428]) ).
cnf(refute_0_7430,plain,
multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276)) = multiply(inverse(X_276),X_128),
inference(resolve,[$cnf( $equal(multiply(X_128,multiply(commutator(X_128,X_276),inverse(X_276))),multiply(inverse(X_276),X_128)) )],[refute_0_7426,refute_0_7429]) ).
cnf(refute_0_7431,plain,
commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276))) = commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276))),
introduced(tautology,[refl,[$fot(commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276))))]]) ).
cnf(refute_0_7432,plain,
( multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276)) != multiply(inverse(X_276),X_128)
| commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276))) != commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276)))
| commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276))) = commutator(multiply(X_128,X_276),multiply(inverse(X_276),X_128)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276))),commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276)))) ),[1,1],$fot(multiply(inverse(X_276),X_128))]]) ).
cnf(refute_0_7433,plain,
( multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276)) != multiply(inverse(X_276),X_128)
| commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276))) = commutator(multiply(X_128,X_276),multiply(inverse(X_276),X_128)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276))),commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276)))) )],[refute_0_7431,refute_0_7432]) ).
cnf(refute_0_7434,plain,
commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276))) = commutator(multiply(X_128,X_276),multiply(inverse(X_276),X_128)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276)),multiply(inverse(X_276),X_128)) )],[refute_0_7430,refute_0_7433]) ).
cnf(refute_0_7435,plain,
commutator(multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))),multiply(X_128,X_276)) = commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276))),
inference(subst,[],[refute_0_2366:[bind(X_10,$fot(multiply(X_128,X_276))),bind(X_171,$fot(multiply(X_128,commutator(X_128,X_276)))),bind(X_173,$fot(X_276))]]) ).
cnf(refute_0_7436,plain,
commutator(multiply(X_128,X_276),inverse(multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))) = commutator(multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))),multiply(X_128,X_276)),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))),bind(X_110,$fot(multiply(X_128,X_276)))]]) ).
cnf(refute_0_7437,plain,
( commutator(multiply(X_128,X_276),inverse(multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))) != commutator(multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))),multiply(X_128,X_276))
| commutator(multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))),multiply(X_128,X_276)) != commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276)))
| commutator(multiply(X_128,X_276),inverse(multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))) = commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_128,X_276),inverse(multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))))),bind(Y0,$fot(commutator(multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))),multiply(X_128,X_276)))),bind(Z0,$fot(commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276)))))]]) ).
cnf(refute_0_7438,plain,
( commutator(multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))),multiply(X_128,X_276)) != commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276)))
| commutator(multiply(X_128,X_276),inverse(multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))) = commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_128,X_276),inverse(multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))),commutator(multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))),multiply(X_128,X_276))) )],[refute_0_7436,refute_0_7437]) ).
cnf(refute_0_7439,plain,
commutator(multiply(X_128,X_276),inverse(multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))) = commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))),multiply(X_128,X_276)),commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276)))) )],[refute_0_7435,refute_0_7438]) ).
cnf(refute_0_7440,plain,
commutator(multiply(X_128,X_276),multiply(inverse(multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))),multiply(X_128,X_276))) = commutator(multiply(X_128,X_276),inverse(multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))),
inference(subst,[],[refute_0_4212:[bind(X_10,$fot(inverse(multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))))),bind(X_84,$fot(multiply(X_128,X_276)))]]) ).
cnf(refute_0_7441,plain,
( commutator(multiply(X_128,X_276),multiply(inverse(multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))),multiply(X_128,X_276))) != commutator(multiply(X_128,X_276),inverse(multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))))
| commutator(multiply(X_128,X_276),inverse(multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))) != commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276)))
| commutator(multiply(X_128,X_276),multiply(inverse(multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))),multiply(X_128,X_276))) = commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_128,X_276),multiply(inverse(multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))),multiply(X_128,X_276))))),bind(Y0,$fot(commutator(multiply(X_128,X_276),inverse(multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))))),bind(Z0,$fot(commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276)))))]]) ).
cnf(refute_0_7442,plain,
( commutator(multiply(X_128,X_276),inverse(multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))) != commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276)))
| commutator(multiply(X_128,X_276),multiply(inverse(multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))),multiply(X_128,X_276))) = commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_128,X_276),multiply(inverse(multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))),multiply(X_128,X_276))),commutator(multiply(X_128,X_276),inverse(multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))))) )],[refute_0_7440,refute_0_7441]) ).
cnf(refute_0_7443,plain,
commutator(multiply(X_128,X_276),multiply(inverse(multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))),multiply(X_128,X_276))) = commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_128,X_276),inverse(multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))),commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276)))) )],[refute_0_7439,refute_0_7442]) ).
cnf(refute_0_7444,plain,
commutator(multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))),multiply(X_128,X_276)) = commutator(multiply(X_128,X_276),multiply(inverse(multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))),multiply(X_128,X_276))),
inference(subst,[],[refute_0_4978:[bind(Z,$fot(multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))),bind(X_114,$fot(multiply(X_128,X_276))),bind(X_61,$fot(multiply(X_128,X_276)))]]) ).
cnf(refute_0_7445,plain,
( commutator(multiply(X_128,X_276),multiply(inverse(multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))),multiply(X_128,X_276))) != commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276)))
| commutator(multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))),multiply(X_128,X_276)) != commutator(multiply(X_128,X_276),multiply(inverse(multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))),multiply(X_128,X_276)))
| commutator(multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))),multiply(X_128,X_276)) = commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))),multiply(X_128,X_276)))),bind(Y0,$fot(commutator(multiply(X_128,X_276),multiply(inverse(multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))),multiply(X_128,X_276))))),bind(Z0,$fot(commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276)))))]]) ).
cnf(refute_0_7446,plain,
( commutator(multiply(X_128,X_276),multiply(inverse(multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))),multiply(X_128,X_276))) != commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276)))
| commutator(multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))),multiply(X_128,X_276)) = commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))),multiply(X_128,X_276)),commutator(multiply(X_128,X_276),multiply(inverse(multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))),multiply(X_128,X_276)))) )],[refute_0_7444,refute_0_7445]) ).
cnf(refute_0_7447,plain,
commutator(multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))),multiply(X_128,X_276)) = commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_128,X_276),multiply(inverse(multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))),multiply(X_128,X_276))),commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276)))) )],[refute_0_7443,refute_0_7446]) ).
cnf(refute_0_7448,plain,
commutator(inverse(multiply(X_128,X_276)),multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))) = commutator(multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))),multiply(X_128,X_276)),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(multiply(X_128,X_276))),bind(X_110,$fot(multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))))]]) ).
cnf(refute_0_7449,plain,
( commutator(multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))),multiply(X_128,X_276)) != commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276)))
| commutator(inverse(multiply(X_128,X_276)),multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))) != commutator(multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))),multiply(X_128,X_276))
| commutator(inverse(multiply(X_128,X_276)),multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))) = commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(inverse(multiply(X_128,X_276)),multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))))),bind(Y0,$fot(commutator(multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))),multiply(X_128,X_276)))),bind(Z0,$fot(commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276)))))]]) ).
cnf(refute_0_7450,plain,
( commutator(multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))),multiply(X_128,X_276)) != commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276)))
| commutator(inverse(multiply(X_128,X_276)),multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))) = commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_128,X_276)),multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))),commutator(multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))),multiply(X_128,X_276))) )],[refute_0_7448,refute_0_7449]) ).
cnf(refute_0_7451,plain,
commutator(inverse(multiply(X_128,X_276)),multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))) = commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276))),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))),multiply(X_128,X_276)),commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276)))) )],[refute_0_7447,refute_0_7450]) ).
cnf(refute_0_7452,plain,
( commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276))) != commutator(multiply(X_128,X_276),multiply(inverse(X_276),X_128))
| commutator(inverse(multiply(X_128,X_276)),multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))) != commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276)))
| commutator(inverse(multiply(X_128,X_276)),multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))) = commutator(multiply(X_128,X_276),multiply(inverse(X_276),X_128)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(inverse(multiply(X_128,X_276)),multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))))),bind(Y0,$fot(commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276))))),bind(Z0,$fot(commutator(multiply(X_128,X_276),multiply(inverse(X_276),X_128))))]]) ).
cnf(refute_0_7453,plain,
( commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276))) != commutator(multiply(X_128,X_276),multiply(inverse(X_276),X_128))
| commutator(inverse(multiply(X_128,X_276)),multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))) = commutator(multiply(X_128,X_276),multiply(inverse(X_276),X_128)) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_128,X_276)),multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))),commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276)))) )],[refute_0_7451,refute_0_7452]) ).
cnf(refute_0_7454,plain,
commutator(inverse(multiply(X_128,X_276)),multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))) = commutator(multiply(X_128,X_276),multiply(inverse(X_276),X_128)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_128,X_276),multiply(multiply(X_128,commutator(X_128,X_276)),inverse(X_276))),commutator(multiply(X_128,X_276),multiply(inverse(X_276),X_128))) )],[refute_0_7434,refute_0_7453]) ).
cnf(refute_0_7455,plain,
commutator(X_276,commutator(inverse(multiply(X_128,X_276)),multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))))) = commutator(X_276,commutator(inverse(multiply(X_128,X_276)),multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))))),
introduced(tautology,[refl,[$fot(commutator(X_276,commutator(inverse(multiply(X_128,X_276)),multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))))))]]) ).
cnf(refute_0_7456,plain,
( commutator(X_276,commutator(inverse(multiply(X_128,X_276)),multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))))) != commutator(X_276,commutator(inverse(multiply(X_128,X_276)),multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))))
| commutator(inverse(multiply(X_128,X_276)),multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))) != commutator(multiply(X_128,X_276),multiply(inverse(X_276),X_128))
| commutator(X_276,commutator(inverse(multiply(X_128,X_276)),multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))))) = commutator(X_276,commutator(multiply(X_128,X_276),multiply(inverse(X_276),X_128))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_276,commutator(inverse(multiply(X_128,X_276)),multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))))),commutator(X_276,commutator(inverse(multiply(X_128,X_276)),multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))))) ),[1,1],$fot(commutator(multiply(X_128,X_276),multiply(inverse(X_276),X_128)))]]) ).
cnf(refute_0_7457,plain,
( commutator(inverse(multiply(X_128,X_276)),multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))) != commutator(multiply(X_128,X_276),multiply(inverse(X_276),X_128))
| commutator(X_276,commutator(inverse(multiply(X_128,X_276)),multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))))) = commutator(X_276,commutator(multiply(X_128,X_276),multiply(inverse(X_276),X_128))) ),
inference(resolve,[$cnf( $equal(commutator(X_276,commutator(inverse(multiply(X_128,X_276)),multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))))),commutator(X_276,commutator(inverse(multiply(X_128,X_276)),multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))))) )],[refute_0_7455,refute_0_7456]) ).
cnf(refute_0_7458,plain,
commutator(X_276,commutator(inverse(multiply(X_128,X_276)),multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))))) = commutator(X_276,commutator(multiply(X_128,X_276),multiply(inverse(X_276),X_128))),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_128,X_276)),multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))),commutator(multiply(X_128,X_276),multiply(inverse(X_276),X_128))) )],[refute_0_7454,refute_0_7457]) ).
cnf(refute_0_7459,plain,
commutator(X_276,commutator(multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))),inverse(multiply(X_128,X_276)))) = commutator(X_276,commutator(inverse(multiply(X_128,X_276)),multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))))),
inference(subst,[],[refute_0_1952:[bind(X_136,$fot(multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))))),bind(X_217,$fot(inverse(multiply(X_128,X_276)))),bind(X_218,$fot(X_276))]]) ).
cnf(refute_0_7460,plain,
commutator(inverse(multiply(X_128,X_276)),commutator(X_276,multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))))) = commutator(X_276,commutator(multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))),inverse(multiply(X_128,X_276)))),
inference(subst,[],[refute_0_7219:[bind(X_217,$fot(X_276)),bind(X_218,$fot(multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))))),bind(X_90,$fot(inverse(multiply(X_128,X_276))))]]) ).
cnf(refute_0_7461,plain,
( commutator(X_276,commutator(multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))),inverse(multiply(X_128,X_276)))) != commutator(X_276,commutator(inverse(multiply(X_128,X_276)),multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))))
| commutator(inverse(multiply(X_128,X_276)),commutator(X_276,multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))))) != commutator(X_276,commutator(multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))),inverse(multiply(X_128,X_276))))
| commutator(inverse(multiply(X_128,X_276)),commutator(X_276,multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))))) = commutator(X_276,commutator(inverse(multiply(X_128,X_276)),multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(inverse(multiply(X_128,X_276)),commutator(X_276,multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))))))),bind(Y0,$fot(commutator(X_276,commutator(multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))),inverse(multiply(X_128,X_276)))))),bind(Z0,$fot(commutator(X_276,commutator(inverse(multiply(X_128,X_276)),multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))))))]]) ).
cnf(refute_0_7462,plain,
( commutator(X_276,commutator(multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))),inverse(multiply(X_128,X_276)))) != commutator(X_276,commutator(inverse(multiply(X_128,X_276)),multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))))
| commutator(inverse(multiply(X_128,X_276)),commutator(X_276,multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))))) = commutator(X_276,commutator(inverse(multiply(X_128,X_276)),multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_128,X_276)),commutator(X_276,multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))))),commutator(X_276,commutator(multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))),inverse(multiply(X_128,X_276))))) )],[refute_0_7460,refute_0_7461]) ).
cnf(refute_0_7463,plain,
commutator(inverse(multiply(X_128,X_276)),commutator(X_276,multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))))) = commutator(X_276,commutator(inverse(multiply(X_128,X_276)),multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))))),
inference(resolve,[$cnf( $equal(commutator(X_276,commutator(multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))),inverse(multiply(X_128,X_276)))),commutator(X_276,commutator(inverse(multiply(X_128,X_276)),multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))))) )],[refute_0_7459,refute_0_7462]) ).
cnf(refute_0_7464,plain,
( commutator(X_276,commutator(inverse(multiply(X_128,X_276)),multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))))) != commutator(X_276,commutator(multiply(X_128,X_276),multiply(inverse(X_276),X_128)))
| commutator(inverse(multiply(X_128,X_276)),commutator(X_276,multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))))) != commutator(X_276,commutator(inverse(multiply(X_128,X_276)),multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))))
| commutator(inverse(multiply(X_128,X_276)),commutator(X_276,multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))))) = commutator(X_276,commutator(multiply(X_128,X_276),multiply(inverse(X_276),X_128))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(inverse(multiply(X_128,X_276)),commutator(X_276,multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))))))),bind(Y0,$fot(commutator(X_276,commutator(inverse(multiply(X_128,X_276)),multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))))))),bind(Z0,$fot(commutator(X_276,commutator(multiply(X_128,X_276),multiply(inverse(X_276),X_128)))))]]) ).
cnf(refute_0_7465,plain,
( commutator(X_276,commutator(inverse(multiply(X_128,X_276)),multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))))) != commutator(X_276,commutator(multiply(X_128,X_276),multiply(inverse(X_276),X_128)))
| commutator(inverse(multiply(X_128,X_276)),commutator(X_276,multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))))) = commutator(X_276,commutator(multiply(X_128,X_276),multiply(inverse(X_276),X_128))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_128,X_276)),commutator(X_276,multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))))),commutator(X_276,commutator(inverse(multiply(X_128,X_276)),multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))))) )],[refute_0_7463,refute_0_7464]) ).
cnf(refute_0_7466,plain,
commutator(inverse(multiply(X_128,X_276)),commutator(X_276,multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))))) = commutator(X_276,commutator(multiply(X_128,X_276),multiply(inverse(X_276),X_128))),
inference(resolve,[$cnf( $equal(commutator(X_276,commutator(inverse(multiply(X_128,X_276)),multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))))),commutator(X_276,commutator(multiply(X_128,X_276),multiply(inverse(X_276),X_128)))) )],[refute_0_7458,refute_0_7465]) ).
cnf(refute_0_7467,plain,
( commutator(inverse(multiply(X_128,X_276)),commutator(X_276,multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))))) != commutator(X_276,commutator(multiply(X_128,X_276),multiply(inverse(X_276),X_128)))
| identity != commutator(inverse(multiply(X_128,X_276)),commutator(X_276,multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))))
| identity = commutator(X_276,commutator(multiply(X_128,X_276),multiply(inverse(X_276),X_128))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(inverse(multiply(X_128,X_276)),commutator(X_276,multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))))) ),[1],$fot(commutator(X_276,commutator(multiply(X_128,X_276),multiply(inverse(X_276),X_128))))]]) ).
cnf(refute_0_7468,plain,
( identity != commutator(inverse(multiply(X_128,X_276)),commutator(X_276,multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))))
| identity = commutator(X_276,commutator(multiply(X_128,X_276),multiply(inverse(X_276),X_128))) ),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_128,X_276)),commutator(X_276,multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276))))))),commutator(X_276,commutator(multiply(X_128,X_276),multiply(inverse(X_276),X_128)))) )],[refute_0_7466,refute_0_7467]) ).
cnf(refute_0_7469,plain,
identity = commutator(X_276,commutator(multiply(X_128,X_276),multiply(inverse(X_276),X_128))),
inference(resolve,[$cnf( $equal(identity,commutator(inverse(multiply(X_128,X_276)),commutator(X_276,multiply(inverse(multiply(X_128,X_276)),multiply(X_276,inverse(multiply(X_128,commutator(X_128,X_276)))))))) )],[refute_0_7417,refute_0_7468]) ).
cnf(refute_0_7470,plain,
identity = commutator(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))),
inference(subst,[],[refute_0_7469:[bind(X_128,$fot(X_341)),bind(X_276,$fot(X_58))]]) ).
cnf(refute_0_7471,plain,
( identity != commutator(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)))
| commutator(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))) = identity ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(identity)),bind(Y0,$fot(commutator(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)))))]]) ).
cnf(refute_0_7472,plain,
commutator(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))) = identity,
inference(resolve,[$cnf( $equal(identity,commutator(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)))) )],[refute_0_7470,refute_0_7471]) ).
cnf(refute_0_7473,plain,
( multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))) != inverse(multiply(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)),commutator(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)))))
| commutator(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))) != identity
| multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))) = inverse(multiply(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))),inverse(multiply(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)),commutator(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)))))) ),[1,0,1],$fot(identity)]]) ).
cnf(refute_0_7474,plain,
( multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))) != inverse(multiply(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)),commutator(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)))))
| multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))) = inverse(multiply(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)),identity)) ),
inference(resolve,[$cnf( $equal(commutator(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))),identity) )],[refute_0_7472,refute_0_7473]) ).
cnf(refute_0_7475,plain,
multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))) = inverse(multiply(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)),identity)),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))),inverse(multiply(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)),commutator(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)))))) )],[refute_0_6993,refute_0_7474]) ).
cnf(refute_0_7476,plain,
commutator(multiply(inverse(X_58),X_341),multiply(X_341,X_58)) = commutator(multiply(X_341,X_58),multiply(inverse(X_341),X_58)),
inference(subst,[],[refute_0_4978:[bind(Z,$fot(X_341)),bind(X_114,$fot(multiply(X_341,X_58))),bind(X_61,$fot(X_58))]]) ).
cnf(refute_0_7477,plain,
inverse(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))) = commutator(multiply(inverse(X_58),X_341),multiply(X_341,X_58)),
inference(subst,[],[refute_0_386:[bind(X,$fot(multiply(inverse(X_58),X_341))),bind(Y,$fot(multiply(X_341,X_58)))]]) ).
cnf(refute_0_7478,plain,
( commutator(multiply(inverse(X_58),X_341),multiply(X_341,X_58)) != commutator(multiply(X_341,X_58),multiply(inverse(X_341),X_58))
| inverse(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))) != commutator(multiply(inverse(X_58),X_341),multiply(X_341,X_58))
| inverse(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))) = commutator(multiply(X_341,X_58),multiply(inverse(X_341),X_58)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))),bind(Y0,$fot(commutator(multiply(inverse(X_58),X_341),multiply(X_341,X_58)))),bind(Z0,$fot(commutator(multiply(X_341,X_58),multiply(inverse(X_341),X_58))))]]) ).
cnf(refute_0_7479,plain,
( commutator(multiply(inverse(X_58),X_341),multiply(X_341,X_58)) != commutator(multiply(X_341,X_58),multiply(inverse(X_341),X_58))
| inverse(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))) = commutator(multiply(X_341,X_58),multiply(inverse(X_341),X_58)) ),
inference(resolve,[$cnf( $equal(inverse(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))),commutator(multiply(inverse(X_58),X_341),multiply(X_341,X_58))) )],[refute_0_7477,refute_0_7478]) ).
cnf(refute_0_7480,plain,
inverse(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))) = commutator(multiply(X_341,X_58),multiply(inverse(X_341),X_58)),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_58),X_341),multiply(X_341,X_58)),commutator(multiply(X_341,X_58),multiply(inverse(X_341),X_58))) )],[refute_0_7476,refute_0_7479]) ).
cnf(refute_0_7481,plain,
multiply(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)),identity) = commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)),
inference(subst,[],[refute_0_100:[bind(X_16,$fot(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))]]) ).
cnf(refute_0_7482,plain,
inverse(multiply(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)),identity)) = inverse(multiply(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)),identity)),
introduced(tautology,[refl,[$fot(inverse(multiply(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)),identity)))]]) ).
cnf(refute_0_7483,plain,
( multiply(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)),identity) != commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))
| inverse(multiply(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)),identity)) != inverse(multiply(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)),identity))
| inverse(multiply(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)),identity)) = inverse(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)),identity)),inverse(multiply(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)),identity))) ),[1,0],$fot(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)))]]) ).
cnf(refute_0_7484,plain,
( multiply(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)),identity) != commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))
| inverse(multiply(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)),identity)) = inverse(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)),identity)),inverse(multiply(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)),identity))) )],[refute_0_7482,refute_0_7483]) ).
cnf(refute_0_7485,plain,
inverse(multiply(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)),identity)) = inverse(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)),identity),commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))) )],[refute_0_7481,refute_0_7484]) ).
cnf(refute_0_7486,plain,
( inverse(multiply(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)),identity)) != inverse(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)))
| inverse(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))) != commutator(multiply(X_341,X_58),multiply(inverse(X_341),X_58))
| inverse(multiply(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)),identity)) = commutator(multiply(X_341,X_58),multiply(inverse(X_341),X_58)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)),identity)))),bind(Y0,$fot(inverse(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))),bind(Z0,$fot(commutator(multiply(X_341,X_58),multiply(inverse(X_341),X_58))))]]) ).
cnf(refute_0_7487,plain,
( inverse(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))) != commutator(multiply(X_341,X_58),multiply(inverse(X_341),X_58))
| inverse(multiply(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)),identity)) = commutator(multiply(X_341,X_58),multiply(inverse(X_341),X_58)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)),identity)),inverse(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)))) )],[refute_0_7485,refute_0_7486]) ).
cnf(refute_0_7488,plain,
inverse(multiply(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)),identity)) = commutator(multiply(X_341,X_58),multiply(inverse(X_341),X_58)),
inference(resolve,[$cnf( $equal(inverse(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))),commutator(multiply(X_341,X_58),multiply(inverse(X_341),X_58))) )],[refute_0_7480,refute_0_7487]) ).
cnf(refute_0_7489,plain,
( multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))) != inverse(multiply(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)),identity))
| inverse(multiply(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)),identity)) != commutator(multiply(X_341,X_58),multiply(inverse(X_341),X_58))
| multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))) = commutator(multiply(X_341,X_58),multiply(inverse(X_341),X_58)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))),commutator(multiply(X_341,X_58),multiply(inverse(X_341),X_58))) ),[0],$fot(inverse(multiply(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)),identity)))]]) ).
cnf(refute_0_7490,plain,
( multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))) != inverse(multiply(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)),identity))
| multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))) = commutator(multiply(X_341,X_58),multiply(inverse(X_341),X_58)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)),identity)),commutator(multiply(X_341,X_58),multiply(inverse(X_341),X_58))) )],[refute_0_7488,refute_0_7489]) ).
cnf(refute_0_7491,plain,
multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))) = commutator(multiply(X_341,X_58),multiply(inverse(X_341),X_58)),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))),inverse(multiply(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)),identity))) )],[refute_0_7475,refute_0_7490]) ).
cnf(refute_0_7492,plain,
multiply(X_154,multiply(commutator(Z,multiply(X_154,X_154)),inverse(X_154))) = multiply(commutator(Z,multiply(X_154,X_154)),commutator(X_154,commutator(Z,multiply(X_154,X_154)))),
inference(subst,[],[refute_0_933:[bind(X_10,$fot(commutator(Z,multiply(X_154,X_154)))),bind(X_90,$fot(X_154))]]) ).
cnf(refute_0_7493,plain,
identity = commutator(X_154,commutator(Z,multiply(X_154,X_154))),
inference(subst,[],[refute_0_4789:[bind(Y,$fot(X_154))]]) ).
cnf(refute_0_7494,plain,
( identity != commutator(X_154,commutator(Z,multiply(X_154,X_154)))
| commutator(X_154,commutator(Z,multiply(X_154,X_154))) = identity ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(identity)),bind(Y0,$fot(commutator(X_154,commutator(Z,multiply(X_154,X_154)))))]]) ).
cnf(refute_0_7495,plain,
commutator(X_154,commutator(Z,multiply(X_154,X_154))) = identity,
inference(resolve,[$cnf( $equal(identity,commutator(X_154,commutator(Z,multiply(X_154,X_154)))) )],[refute_0_7493,refute_0_7494]) ).
cnf(refute_0_7496,plain,
( multiply(X_154,multiply(commutator(Z,multiply(X_154,X_154)),inverse(X_154))) != multiply(commutator(Z,multiply(X_154,X_154)),commutator(X_154,commutator(Z,multiply(X_154,X_154))))
| commutator(X_154,commutator(Z,multiply(X_154,X_154))) != identity
| multiply(X_154,multiply(commutator(Z,multiply(X_154,X_154)),inverse(X_154))) = multiply(commutator(Z,multiply(X_154,X_154)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_154,multiply(commutator(Z,multiply(X_154,X_154)),inverse(X_154))),multiply(commutator(Z,multiply(X_154,X_154)),commutator(X_154,commutator(Z,multiply(X_154,X_154))))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_7497,plain,
( multiply(X_154,multiply(commutator(Z,multiply(X_154,X_154)),inverse(X_154))) != multiply(commutator(Z,multiply(X_154,X_154)),commutator(X_154,commutator(Z,multiply(X_154,X_154))))
| multiply(X_154,multiply(commutator(Z,multiply(X_154,X_154)),inverse(X_154))) = multiply(commutator(Z,multiply(X_154,X_154)),identity) ),
inference(resolve,[$cnf( $equal(commutator(X_154,commutator(Z,multiply(X_154,X_154))),identity) )],[refute_0_7495,refute_0_7496]) ).
cnf(refute_0_7498,plain,
multiply(X_154,multiply(commutator(Z,multiply(X_154,X_154)),inverse(X_154))) = multiply(commutator(Z,multiply(X_154,X_154)),identity),
inference(resolve,[$cnf( $equal(multiply(X_154,multiply(commutator(Z,multiply(X_154,X_154)),inverse(X_154))),multiply(commutator(Z,multiply(X_154,X_154)),commutator(X_154,commutator(Z,multiply(X_154,X_154))))) )],[refute_0_7492,refute_0_7497]) ).
cnf(refute_0_7499,plain,
multiply(commutator(Z,multiply(X_154,X_154)),inverse(X_154)) = inverse(multiply(X_154,commutator(multiply(X_154,X_154),Z))),
inference(subst,[],[refute_0_378:[bind(X_58,$fot(X_154)),bind(X_65,$fot(Z)),bind(X_66,$fot(multiply(X_154,X_154)))]]) ).
cnf(refute_0_7500,plain,
multiply(X_154,multiply(commutator(Z,multiply(X_154,X_154)),inverse(X_154))) = multiply(X_154,multiply(commutator(Z,multiply(X_154,X_154)),inverse(X_154))),
introduced(tautology,[refl,[$fot(multiply(X_154,multiply(commutator(Z,multiply(X_154,X_154)),inverse(X_154))))]]) ).
cnf(refute_0_7501,plain,
( multiply(X_154,multiply(commutator(Z,multiply(X_154,X_154)),inverse(X_154))) != multiply(X_154,multiply(commutator(Z,multiply(X_154,X_154)),inverse(X_154)))
| multiply(commutator(Z,multiply(X_154,X_154)),inverse(X_154)) != inverse(multiply(X_154,commutator(multiply(X_154,X_154),Z)))
| multiply(X_154,multiply(commutator(Z,multiply(X_154,X_154)),inverse(X_154))) = multiply(X_154,inverse(multiply(X_154,commutator(multiply(X_154,X_154),Z)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_154,multiply(commutator(Z,multiply(X_154,X_154)),inverse(X_154))),multiply(X_154,multiply(commutator(Z,multiply(X_154,X_154)),inverse(X_154)))) ),[1,1],$fot(inverse(multiply(X_154,commutator(multiply(X_154,X_154),Z))))]]) ).
cnf(refute_0_7502,plain,
( multiply(commutator(Z,multiply(X_154,X_154)),inverse(X_154)) != inverse(multiply(X_154,commutator(multiply(X_154,X_154),Z)))
| multiply(X_154,multiply(commutator(Z,multiply(X_154,X_154)),inverse(X_154))) = multiply(X_154,inverse(multiply(X_154,commutator(multiply(X_154,X_154),Z)))) ),
inference(resolve,[$cnf( $equal(multiply(X_154,multiply(commutator(Z,multiply(X_154,X_154)),inverse(X_154))),multiply(X_154,multiply(commutator(Z,multiply(X_154,X_154)),inverse(X_154)))) )],[refute_0_7500,refute_0_7501]) ).
cnf(refute_0_7503,plain,
multiply(X_154,multiply(commutator(Z,multiply(X_154,X_154)),inverse(X_154))) = multiply(X_154,inverse(multiply(X_154,commutator(multiply(X_154,X_154),Z)))),
inference(resolve,[$cnf( $equal(multiply(commutator(Z,multiply(X_154,X_154)),inverse(X_154)),inverse(multiply(X_154,commutator(multiply(X_154,X_154),Z)))) )],[refute_0_7499,refute_0_7502]) ).
cnf(refute_0_7504,plain,
( multiply(X_154,multiply(commutator(Z,multiply(X_154,X_154)),inverse(X_154))) != multiply(X_154,inverse(multiply(X_154,commutator(multiply(X_154,X_154),Z))))
| multiply(X_154,multiply(commutator(Z,multiply(X_154,X_154)),inverse(X_154))) != multiply(commutator(Z,multiply(X_154,X_154)),identity)
| multiply(X_154,inverse(multiply(X_154,commutator(multiply(X_154,X_154),Z)))) = multiply(commutator(Z,multiply(X_154,X_154)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_154,multiply(commutator(Z,multiply(X_154,X_154)),inverse(X_154))),multiply(commutator(Z,multiply(X_154,X_154)),identity)) ),[0],$fot(multiply(X_154,inverse(multiply(X_154,commutator(multiply(X_154,X_154),Z)))))]]) ).
cnf(refute_0_7505,plain,
( multiply(X_154,multiply(commutator(Z,multiply(X_154,X_154)),inverse(X_154))) != multiply(commutator(Z,multiply(X_154,X_154)),identity)
| multiply(X_154,inverse(multiply(X_154,commutator(multiply(X_154,X_154),Z)))) = multiply(commutator(Z,multiply(X_154,X_154)),identity) ),
inference(resolve,[$cnf( $equal(multiply(X_154,multiply(commutator(Z,multiply(X_154,X_154)),inverse(X_154))),multiply(X_154,inverse(multiply(X_154,commutator(multiply(X_154,X_154),Z))))) )],[refute_0_7503,refute_0_7504]) ).
cnf(refute_0_7506,plain,
multiply(commutator(Z,multiply(X_154,X_154)),identity) = commutator(Z,multiply(X_154,X_154)),
inference(subst,[],[refute_0_100:[bind(X_16,$fot(commutator(Z,multiply(X_154,X_154))))]]) ).
cnf(refute_0_7507,plain,
( multiply(X_154,inverse(multiply(X_154,commutator(multiply(X_154,X_154),Z)))) != multiply(commutator(Z,multiply(X_154,X_154)),identity)
| multiply(commutator(Z,multiply(X_154,X_154)),identity) != commutator(Z,multiply(X_154,X_154))
| multiply(X_154,inverse(multiply(X_154,commutator(multiply(X_154,X_154),Z)))) = commutator(Z,multiply(X_154,X_154)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_154,inverse(multiply(X_154,commutator(multiply(X_154,X_154),Z)))),commutator(Z,multiply(X_154,X_154))) ),[0],$fot(multiply(commutator(Z,multiply(X_154,X_154)),identity))]]) ).
cnf(refute_0_7508,plain,
( multiply(X_154,inverse(multiply(X_154,commutator(multiply(X_154,X_154),Z)))) != multiply(commutator(Z,multiply(X_154,X_154)),identity)
| multiply(X_154,inverse(multiply(X_154,commutator(multiply(X_154,X_154),Z)))) = commutator(Z,multiply(X_154,X_154)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(Z,multiply(X_154,X_154)),identity),commutator(Z,multiply(X_154,X_154))) )],[refute_0_7506,refute_0_7507]) ).
cnf(refute_0_7509,plain,
( multiply(X_154,multiply(commutator(Z,multiply(X_154,X_154)),inverse(X_154))) != multiply(commutator(Z,multiply(X_154,X_154)),identity)
| multiply(X_154,inverse(multiply(X_154,commutator(multiply(X_154,X_154),Z)))) = commutator(Z,multiply(X_154,X_154)) ),
inference(resolve,[$cnf( $equal(multiply(X_154,inverse(multiply(X_154,commutator(multiply(X_154,X_154),Z)))),multiply(commutator(Z,multiply(X_154,X_154)),identity)) )],[refute_0_7505,refute_0_7508]) ).
cnf(refute_0_7510,plain,
multiply(X_154,inverse(multiply(X_154,commutator(multiply(X_154,X_154),Z)))) = commutator(Z,multiply(X_154,X_154)),
inference(resolve,[$cnf( $equal(multiply(X_154,multiply(commutator(Z,multiply(X_154,X_154)),inverse(X_154))),multiply(commutator(Z,multiply(X_154,X_154)),identity)) )],[refute_0_7498,refute_0_7509]) ).
cnf(refute_0_7511,plain,
multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_58,X_58),X_341)))) = commutator(X_341,multiply(X_58,X_58)),
inference(subst,[],[refute_0_7510:[bind(Z,$fot(X_341)),bind(X_154,$fot(X_58))]]) ).
cnf(refute_0_7512,plain,
multiply(commutator(X,Y),commutator(X,Y)) = multiply(inverse(multiply(Y,X)),multiply(X,multiply(Y,commutator(X,Y)))),
inference(subst,[],[refute_0_246:[bind(X_11,$fot(commutator(X,Y)))]]) ).
cnf(refute_0_7513,plain,
multiply(inverse(Y),multiply(X,multiply(Y,Y))) = multiply(X,multiply(Y,commutator(X,Y))),
inference(subst,[],[refute_0_3098:[bind(X_127,$fot(Y)),bind(X_134,$fot(X))]]) ).
cnf(refute_0_7514,plain,
( multiply(inverse(Y),multiply(X,multiply(Y,Y))) != multiply(X,multiply(Y,commutator(X,Y)))
| multiply(X,multiply(Y,commutator(X,Y))) = multiply(inverse(Y),multiply(X,multiply(Y,Y))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(inverse(Y),multiply(X,multiply(Y,Y))))),bind(Y0,$fot(multiply(X,multiply(Y,commutator(X,Y)))))]]) ).
cnf(refute_0_7515,plain,
multiply(X,multiply(Y,commutator(X,Y))) = multiply(inverse(Y),multiply(X,multiply(Y,Y))),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),multiply(X,multiply(Y,Y))),multiply(X,multiply(Y,commutator(X,Y)))) )],[refute_0_7513,refute_0_7514]) ).
cnf(refute_0_7516,plain,
( multiply(X,multiply(Y,commutator(X,Y))) != multiply(inverse(Y),multiply(X,multiply(Y,Y)))
| multiply(commutator(X,Y),commutator(X,Y)) != multiply(inverse(multiply(Y,X)),multiply(X,multiply(Y,commutator(X,Y))))
| multiply(commutator(X,Y),commutator(X,Y)) = multiply(inverse(multiply(Y,X)),multiply(inverse(Y),multiply(X,multiply(Y,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X,Y),commutator(X,Y)),multiply(inverse(multiply(Y,X)),multiply(X,multiply(Y,commutator(X,Y))))) ),[1,1],$fot(multiply(inverse(Y),multiply(X,multiply(Y,Y))))]]) ).
cnf(refute_0_7517,plain,
( multiply(commutator(X,Y),commutator(X,Y)) != multiply(inverse(multiply(Y,X)),multiply(X,multiply(Y,commutator(X,Y))))
| multiply(commutator(X,Y),commutator(X,Y)) = multiply(inverse(multiply(Y,X)),multiply(inverse(Y),multiply(X,multiply(Y,Y)))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(Y,commutator(X,Y))),multiply(inverse(Y),multiply(X,multiply(Y,Y)))) )],[refute_0_7515,refute_0_7516]) ).
cnf(refute_0_7518,plain,
multiply(commutator(X,Y),commutator(X,Y)) = multiply(inverse(multiply(Y,X)),multiply(inverse(Y),multiply(X,multiply(Y,Y)))),
inference(resolve,[$cnf( $equal(multiply(commutator(X,Y),commutator(X,Y)),multiply(inverse(multiply(Y,X)),multiply(X,multiply(Y,commutator(X,Y))))) )],[refute_0_7512,refute_0_7517]) ).
cnf(refute_0_7519,plain,
multiply(commutator(X,Y),commutator(X,Y)) = commutator(multiply(X,X),Y),
inference(subst,[],[refute_0_2686:[bind(X_325,$fot(Y)),bind(X_90,$fot(X))]]) ).
cnf(refute_0_7520,plain,
( multiply(commutator(X,Y),commutator(X,Y)) != multiply(inverse(multiply(Y,X)),multiply(inverse(Y),multiply(X,multiply(Y,Y))))
| multiply(commutator(X,Y),commutator(X,Y)) != commutator(multiply(X,X),Y)
| commutator(multiply(X,X),Y) = multiply(inverse(multiply(Y,X)),multiply(inverse(Y),multiply(X,multiply(Y,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X,Y),commutator(X,Y)),multiply(inverse(multiply(Y,X)),multiply(inverse(Y),multiply(X,multiply(Y,Y))))) ),[0],$fot(commutator(multiply(X,X),Y))]]) ).
cnf(refute_0_7521,plain,
( multiply(commutator(X,Y),commutator(X,Y)) != multiply(inverse(multiply(Y,X)),multiply(inverse(Y),multiply(X,multiply(Y,Y))))
| commutator(multiply(X,X),Y) = multiply(inverse(multiply(Y,X)),multiply(inverse(Y),multiply(X,multiply(Y,Y)))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X,Y),commutator(X,Y)),commutator(multiply(X,X),Y)) )],[refute_0_7519,refute_0_7520]) ).
cnf(refute_0_7522,plain,
commutator(multiply(X_162,X_161),multiply(inverse(X_161),Z)) = multiply(inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))),multiply(X_162,multiply(X_161,multiply(inverse(X_161),Z)))),
inference(subst,[],[refute_0_713:[bind(Y,$fot(multiply(inverse(X_161),Z))),bind(X_10,$fot(X_161)),bind(X_9,$fot(X_162))]]) ).
cnf(refute_0_7523,plain,
Z = multiply(X_161,multiply(inverse(X_161),Z)),
inference(subst,[],[refute_0_141:[bind(X,$fot(X_161))]]) ).
cnf(refute_0_7524,plain,
( Z != multiply(X_161,multiply(inverse(X_161),Z))
| multiply(X_161,multiply(inverse(X_161),Z)) = Z ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(Z)),bind(Y0,$fot(multiply(X_161,multiply(inverse(X_161),Z))))]]) ).
cnf(refute_0_7525,plain,
multiply(X_161,multiply(inverse(X_161),Z)) = Z,
inference(resolve,[$cnf( $equal(Z,multiply(X_161,multiply(inverse(X_161),Z))) )],[refute_0_7523,refute_0_7524]) ).
cnf(refute_0_7526,plain,
( multiply(X_161,multiply(inverse(X_161),Z)) != Z
| commutator(multiply(X_162,X_161),multiply(inverse(X_161),Z)) != multiply(inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))),multiply(X_162,multiply(X_161,multiply(inverse(X_161),Z))))
| commutator(multiply(X_162,X_161),multiply(inverse(X_161),Z)) = multiply(inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))),multiply(X_162,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_162,X_161),multiply(inverse(X_161),Z)),multiply(inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))),multiply(X_162,multiply(X_161,multiply(inverse(X_161),Z))))) ),[1,1,1],$fot(Z)]]) ).
cnf(refute_0_7527,plain,
( commutator(multiply(X_162,X_161),multiply(inverse(X_161),Z)) != multiply(inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))),multiply(X_162,multiply(X_161,multiply(inverse(X_161),Z))))
| commutator(multiply(X_162,X_161),multiply(inverse(X_161),Z)) = multiply(inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))),multiply(X_162,Z)) ),
inference(resolve,[$cnf( $equal(multiply(X_161,multiply(inverse(X_161),Z)),Z) )],[refute_0_7525,refute_0_7526]) ).
cnf(refute_0_7528,plain,
commutator(multiply(X_162,X_161),multiply(inverse(X_161),Z)) = multiply(inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))),multiply(X_162,Z)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_162,X_161),multiply(inverse(X_161),Z)),multiply(inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))),multiply(X_162,multiply(X_161,multiply(inverse(X_161),Z))))) )],[refute_0_7522,refute_0_7527]) ).
cnf(refute_0_7529,plain,
multiply(multiply(inverse(multiply(Z,multiply(X_162,X_161))),X_161),multiply(X_162,Z)) = multiply(inverse(multiply(Z,multiply(X_162,X_161))),multiply(X_161,multiply(X_162,Z))),
inference(subst,[],[associativity:[bind(X,$fot(inverse(multiply(Z,multiply(X_162,X_161))))),bind(Y,$fot(X_161)),bind(Z,$fot(multiply(X_162,Z)))]]) ).
cnf(refute_0_7530,plain,
inverse(multiply(inverse(X_161),multiply(Z,multiply(X_162,X_161)))) = multiply(inverse(multiply(Z,multiply(X_162,X_161))),X_161),
inference(subst,[],[refute_0_294:[bind(Z,$fot(multiply(Z,multiply(X_162,X_161)))),bind(X_61,$fot(X_161))]]) ).
cnf(refute_0_7531,plain,
multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161)) = multiply(inverse(X_161),multiply(Z,multiply(X_162,X_161))),
inference(subst,[],[associativity:[bind(X,$fot(inverse(X_161))),bind(Y,$fot(Z)),bind(Z,$fot(multiply(X_162,X_161)))]]) ).
cnf(refute_0_7532,plain,
inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))) = inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))))]]) ).
cnf(refute_0_7533,plain,
( multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161)) != multiply(inverse(X_161),multiply(Z,multiply(X_162,X_161)))
| inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))) != inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161)))
| inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))) = inverse(multiply(inverse(X_161),multiply(Z,multiply(X_162,X_161)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))),inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161)))) ),[1,0],$fot(multiply(inverse(X_161),multiply(Z,multiply(X_162,X_161))))]]) ).
cnf(refute_0_7534,plain,
( multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161)) != multiply(inverse(X_161),multiply(Z,multiply(X_162,X_161)))
| inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))) = inverse(multiply(inverse(X_161),multiply(Z,multiply(X_162,X_161)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))),inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161)))) )],[refute_0_7532,refute_0_7533]) ).
cnf(refute_0_7535,plain,
inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))) = inverse(multiply(inverse(X_161),multiply(Z,multiply(X_162,X_161)))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161)),multiply(inverse(X_161),multiply(Z,multiply(X_162,X_161)))) )],[refute_0_7531,refute_0_7534]) ).
cnf(refute_0_7536,plain,
( inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))) != inverse(multiply(inverse(X_161),multiply(Z,multiply(X_162,X_161))))
| inverse(multiply(inverse(X_161),multiply(Z,multiply(X_162,X_161)))) != multiply(inverse(multiply(Z,multiply(X_162,X_161))),X_161)
| inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))) = multiply(inverse(multiply(Z,multiply(X_162,X_161))),X_161) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))))),bind(Y0,$fot(inverse(multiply(inverse(X_161),multiply(Z,multiply(X_162,X_161)))))),bind(Z0,$fot(multiply(inverse(multiply(Z,multiply(X_162,X_161))),X_161)))]]) ).
cnf(refute_0_7537,plain,
( inverse(multiply(inverse(X_161),multiply(Z,multiply(X_162,X_161)))) != multiply(inverse(multiply(Z,multiply(X_162,X_161))),X_161)
| inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))) = multiply(inverse(multiply(Z,multiply(X_162,X_161))),X_161) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))),inverse(multiply(inverse(X_161),multiply(Z,multiply(X_162,X_161))))) )],[refute_0_7535,refute_0_7536]) ).
cnf(refute_0_7538,plain,
inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))) = multiply(inverse(multiply(Z,multiply(X_162,X_161))),X_161),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_161),multiply(Z,multiply(X_162,X_161)))),multiply(inverse(multiply(Z,multiply(X_162,X_161))),X_161)) )],[refute_0_7530,refute_0_7537]) ).
cnf(refute_0_7539,plain,
multiply(inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))),multiply(X_162,Z)) = multiply(inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))),multiply(X_162,Z)),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))),multiply(X_162,Z)))]]) ).
cnf(refute_0_7540,plain,
( multiply(inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))),multiply(X_162,Z)) != multiply(inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))),multiply(X_162,Z))
| inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))) != multiply(inverse(multiply(Z,multiply(X_162,X_161))),X_161)
| multiply(inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))),multiply(X_162,Z)) = multiply(multiply(inverse(multiply(Z,multiply(X_162,X_161))),X_161),multiply(X_162,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))),multiply(X_162,Z)),multiply(inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))),multiply(X_162,Z))) ),[1,0],$fot(multiply(inverse(multiply(Z,multiply(X_162,X_161))),X_161))]]) ).
cnf(refute_0_7541,plain,
( inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))) != multiply(inverse(multiply(Z,multiply(X_162,X_161))),X_161)
| multiply(inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))),multiply(X_162,Z)) = multiply(multiply(inverse(multiply(Z,multiply(X_162,X_161))),X_161),multiply(X_162,Z)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))),multiply(X_162,Z)),multiply(inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))),multiply(X_162,Z))) )],[refute_0_7539,refute_0_7540]) ).
cnf(refute_0_7542,plain,
multiply(inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))),multiply(X_162,Z)) = multiply(multiply(inverse(multiply(Z,multiply(X_162,X_161))),X_161),multiply(X_162,Z)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))),multiply(inverse(multiply(Z,multiply(X_162,X_161))),X_161)) )],[refute_0_7538,refute_0_7541]) ).
cnf(refute_0_7543,plain,
( multiply(multiply(inverse(multiply(Z,multiply(X_162,X_161))),X_161),multiply(X_162,Z)) != multiply(inverse(multiply(Z,multiply(X_162,X_161))),multiply(X_161,multiply(X_162,Z)))
| multiply(inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))),multiply(X_162,Z)) != multiply(multiply(inverse(multiply(Z,multiply(X_162,X_161))),X_161),multiply(X_162,Z))
| multiply(inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))),multiply(X_162,Z)) = multiply(inverse(multiply(Z,multiply(X_162,X_161))),multiply(X_161,multiply(X_162,Z))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))),multiply(X_162,Z)))),bind(Y0,$fot(multiply(multiply(inverse(multiply(Z,multiply(X_162,X_161))),X_161),multiply(X_162,Z)))),bind(Z0,$fot(multiply(inverse(multiply(Z,multiply(X_162,X_161))),multiply(X_161,multiply(X_162,Z)))))]]) ).
cnf(refute_0_7544,plain,
( multiply(multiply(inverse(multiply(Z,multiply(X_162,X_161))),X_161),multiply(X_162,Z)) != multiply(inverse(multiply(Z,multiply(X_162,X_161))),multiply(X_161,multiply(X_162,Z)))
| multiply(inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))),multiply(X_162,Z)) = multiply(inverse(multiply(Z,multiply(X_162,X_161))),multiply(X_161,multiply(X_162,Z))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))),multiply(X_162,Z)),multiply(multiply(inverse(multiply(Z,multiply(X_162,X_161))),X_161),multiply(X_162,Z))) )],[refute_0_7542,refute_0_7543]) ).
cnf(refute_0_7545,plain,
multiply(inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))),multiply(X_162,Z)) = multiply(inverse(multiply(Z,multiply(X_162,X_161))),multiply(X_161,multiply(X_162,Z))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(Z,multiply(X_162,X_161))),X_161),multiply(X_162,Z)),multiply(inverse(multiply(Z,multiply(X_162,X_161))),multiply(X_161,multiply(X_162,Z)))) )],[refute_0_7529,refute_0_7544]) ).
cnf(refute_0_7546,plain,
( multiply(inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))),multiply(X_162,Z)) != multiply(inverse(multiply(Z,multiply(X_162,X_161))),multiply(X_161,multiply(X_162,Z)))
| commutator(multiply(X_162,X_161),multiply(inverse(X_161),Z)) != multiply(inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))),multiply(X_162,Z))
| commutator(multiply(X_162,X_161),multiply(inverse(X_161),Z)) = multiply(inverse(multiply(Z,multiply(X_162,X_161))),multiply(X_161,multiply(X_162,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_162,X_161),multiply(inverse(X_161),Z)),multiply(inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))),multiply(X_162,Z))) ),[1],$fot(multiply(inverse(multiply(Z,multiply(X_162,X_161))),multiply(X_161,multiply(X_162,Z))))]]) ).
cnf(refute_0_7547,plain,
( commutator(multiply(X_162,X_161),multiply(inverse(X_161),Z)) != multiply(inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))),multiply(X_162,Z))
| commutator(multiply(X_162,X_161),multiply(inverse(X_161),Z)) = multiply(inverse(multiply(Z,multiply(X_162,X_161))),multiply(X_161,multiply(X_162,Z))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))),multiply(X_162,Z)),multiply(inverse(multiply(Z,multiply(X_162,X_161))),multiply(X_161,multiply(X_162,Z)))) )],[refute_0_7545,refute_0_7546]) ).
cnf(refute_0_7548,plain,
commutator(multiply(X_162,X_161),multiply(inverse(X_161),Z)) = multiply(inverse(multiply(Z,multiply(X_162,X_161))),multiply(X_161,multiply(X_162,Z))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_162,X_161),multiply(inverse(X_161),Z)),multiply(inverse(multiply(multiply(inverse(X_161),Z),multiply(X_162,X_161))),multiply(X_162,Z))) )],[refute_0_7528,refute_0_7547]) ).
cnf(refute_0_7549,plain,
( commutator(multiply(X_162,X_161),multiply(inverse(X_161),Z)) != multiply(inverse(multiply(Z,multiply(X_162,X_161))),multiply(X_161,multiply(X_162,Z)))
| multiply(inverse(multiply(Z,multiply(X_162,X_161))),multiply(X_161,multiply(X_162,Z))) = commutator(multiply(X_162,X_161),multiply(inverse(X_161),Z)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(multiply(X_162,X_161),multiply(inverse(X_161),Z)))),bind(Y0,$fot(multiply(inverse(multiply(Z,multiply(X_162,X_161))),multiply(X_161,multiply(X_162,Z)))))]]) ).
cnf(refute_0_7550,plain,
multiply(inverse(multiply(Z,multiply(X_162,X_161))),multiply(X_161,multiply(X_162,Z))) = commutator(multiply(X_162,X_161),multiply(inverse(X_161),Z)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_162,X_161),multiply(inverse(X_161),Z)),multiply(inverse(multiply(Z,multiply(X_162,X_161))),multiply(X_161,multiply(X_162,Z)))) )],[refute_0_7548,refute_0_7549]) ).
cnf(refute_0_7551,plain,
multiply(inverse(multiply(Y,multiply(Y,X))),multiply(X,multiply(Y,Y))) = commutator(multiply(Y,X),multiply(inverse(X),Y)),
inference(subst,[],[refute_0_7550:[bind(Z,$fot(Y)),bind(X_161,$fot(X)),bind(X_162,$fot(Y))]]) ).
cnf(refute_0_7552,plain,
multiply(inverse(multiply(Y,X)),multiply(inverse(Y),multiply(X,multiply(Y,Y)))) = multiply(inverse(multiply(Y,multiply(Y,X))),multiply(X,multiply(Y,Y))),
inference(subst,[],[refute_0_242:[bind(Z,$fot(multiply(X,multiply(Y,Y)))),bind(X_62,$fot(multiply(Y,X))),bind(X_63,$fot(Y))]]) ).
cnf(refute_0_7553,plain,
( multiply(inverse(multiply(Y,X)),multiply(inverse(Y),multiply(X,multiply(Y,Y)))) != multiply(inverse(multiply(Y,multiply(Y,X))),multiply(X,multiply(Y,Y)))
| multiply(inverse(multiply(Y,multiply(Y,X))),multiply(X,multiply(Y,Y))) != commutator(multiply(Y,X),multiply(inverse(X),Y))
| multiply(inverse(multiply(Y,X)),multiply(inverse(Y),multiply(X,multiply(Y,Y)))) = commutator(multiply(Y,X),multiply(inverse(X),Y)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(Y,X)),multiply(inverse(Y),multiply(X,multiply(Y,Y)))))),bind(Y0,$fot(multiply(inverse(multiply(Y,multiply(Y,X))),multiply(X,multiply(Y,Y))))),bind(Z0,$fot(commutator(multiply(Y,X),multiply(inverse(X),Y))))]]) ).
cnf(refute_0_7554,plain,
( multiply(inverse(multiply(Y,multiply(Y,X))),multiply(X,multiply(Y,Y))) != commutator(multiply(Y,X),multiply(inverse(X),Y))
| multiply(inverse(multiply(Y,X)),multiply(inverse(Y),multiply(X,multiply(Y,Y)))) = commutator(multiply(Y,X),multiply(inverse(X),Y)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(Y,X)),multiply(inverse(Y),multiply(X,multiply(Y,Y)))),multiply(inverse(multiply(Y,multiply(Y,X))),multiply(X,multiply(Y,Y)))) )],[refute_0_7552,refute_0_7553]) ).
cnf(refute_0_7555,plain,
multiply(inverse(multiply(Y,X)),multiply(inverse(Y),multiply(X,multiply(Y,Y)))) = commutator(multiply(Y,X),multiply(inverse(X),Y)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(Y,multiply(Y,X))),multiply(X,multiply(Y,Y))),commutator(multiply(Y,X),multiply(inverse(X),Y))) )],[refute_0_7551,refute_0_7554]) ).
cnf(refute_0_7556,plain,
( multiply(inverse(multiply(Y,X)),multiply(inverse(Y),multiply(X,multiply(Y,Y)))) != commutator(multiply(Y,X),multiply(inverse(X),Y))
| commutator(multiply(X,X),Y) != multiply(inverse(multiply(Y,X)),multiply(inverse(Y),multiply(X,multiply(Y,Y))))
| commutator(multiply(X,X),Y) = commutator(multiply(Y,X),multiply(inverse(X),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X,X),Y),multiply(inverse(multiply(Y,X)),multiply(inverse(Y),multiply(X,multiply(Y,Y))))) ),[1],$fot(commutator(multiply(Y,X),multiply(inverse(X),Y)))]]) ).
cnf(refute_0_7557,plain,
( commutator(multiply(X,X),Y) != multiply(inverse(multiply(Y,X)),multiply(inverse(Y),multiply(X,multiply(Y,Y))))
| commutator(multiply(X,X),Y) = commutator(multiply(Y,X),multiply(inverse(X),Y)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(Y,X)),multiply(inverse(Y),multiply(X,multiply(Y,Y)))),commutator(multiply(Y,X),multiply(inverse(X),Y))) )],[refute_0_7555,refute_0_7556]) ).
cnf(refute_0_7558,plain,
( multiply(commutator(X,Y),commutator(X,Y)) != multiply(inverse(multiply(Y,X)),multiply(inverse(Y),multiply(X,multiply(Y,Y))))
| commutator(multiply(X,X),Y) = commutator(multiply(Y,X),multiply(inverse(X),Y)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X,X),Y),multiply(inverse(multiply(Y,X)),multiply(inverse(Y),multiply(X,multiply(Y,Y))))) )],[refute_0_7521,refute_0_7557]) ).
cnf(refute_0_7559,plain,
commutator(multiply(X,X),Y) = commutator(multiply(Y,X),multiply(inverse(X),Y)),
inference(resolve,[$cnf( $equal(multiply(commutator(X,Y),commutator(X,Y)),multiply(inverse(multiply(Y,X)),multiply(inverse(Y),multiply(X,multiply(Y,Y))))) )],[refute_0_7518,refute_0_7558]) ).
cnf(refute_0_7560,plain,
( commutator(multiply(X,X),Y) != commutator(multiply(Y,X),multiply(inverse(X),Y))
| commutator(multiply(Y,X),multiply(inverse(X),Y)) = commutator(multiply(X,X),Y) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(multiply(X,X),Y))),bind(Y0,$fot(commutator(multiply(Y,X),multiply(inverse(X),Y))))]]) ).
cnf(refute_0_7561,plain,
commutator(multiply(Y,X),multiply(inverse(X),Y)) = commutator(multiply(X,X),Y),
inference(resolve,[$cnf( $equal(commutator(multiply(X,X),Y),commutator(multiply(Y,X),multiply(inverse(X),Y))) )],[refute_0_7559,refute_0_7560]) ).
cnf(refute_0_7562,plain,
commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)) = commutator(multiply(X_58,X_58),X_341),
inference(subst,[],[refute_0_7561:[bind(X,$fot(X_58)),bind(Y,$fot(X_341))]]) ).
cnf(refute_0_7563,plain,
multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))) = multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))),
introduced(tautology,[refl,[$fot(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))]]) ).
cnf(refute_0_7564,plain,
( multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))) != multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)))
| commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)) != commutator(multiply(X_58,X_58),X_341)
| multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))) = multiply(X_58,commutator(multiply(X_58,X_58),X_341)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))),multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)))) ),[1,1],$fot(commutator(multiply(X_58,X_58),X_341))]]) ).
cnf(refute_0_7565,plain,
( commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)) != commutator(multiply(X_58,X_58),X_341)
| multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))) = multiply(X_58,commutator(multiply(X_58,X_58),X_341)) ),
inference(resolve,[$cnf( $equal(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))),multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)))) )],[refute_0_7563,refute_0_7564]) ).
cnf(refute_0_7566,plain,
multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))) = multiply(X_58,commutator(multiply(X_58,X_58),X_341)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)),commutator(multiply(X_58,X_58),X_341)) )],[refute_0_7562,refute_0_7565]) ).
cnf(refute_0_7567,plain,
inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)))) = inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)))))]]) ).
cnf(refute_0_7568,plain,
( multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))) != multiply(X_58,commutator(multiply(X_58,X_58),X_341))
| inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)))) != inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))
| inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)))) = inverse(multiply(X_58,commutator(multiply(X_58,X_58),X_341))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)))),inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))) ),[1,0],$fot(multiply(X_58,commutator(multiply(X_58,X_58),X_341)))]]) ).
cnf(refute_0_7569,plain,
( multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))) != multiply(X_58,commutator(multiply(X_58,X_58),X_341))
| inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)))) = inverse(multiply(X_58,commutator(multiply(X_58,X_58),X_341))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)))),inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))) )],[refute_0_7567,refute_0_7568]) ).
cnf(refute_0_7570,plain,
inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)))) = inverse(multiply(X_58,commutator(multiply(X_58,X_58),X_341))),
inference(resolve,[$cnf( $equal(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))),multiply(X_58,commutator(multiply(X_58,X_58),X_341))) )],[refute_0_7566,refute_0_7569]) ).
cnf(refute_0_7571,plain,
multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))) = multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))),
introduced(tautology,[refl,[$fot(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))))]]) ).
cnf(refute_0_7572,plain,
( multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))) != multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)))))
| inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)))) != inverse(multiply(X_58,commutator(multiply(X_58,X_58),X_341)))
| multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))) = multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_58,X_58),X_341)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))),multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)))))) ),[1,1],$fot(inverse(multiply(X_58,commutator(multiply(X_58,X_58),X_341))))]]) ).
cnf(refute_0_7573,plain,
( inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)))) != inverse(multiply(X_58,commutator(multiply(X_58,X_58),X_341)))
| multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))) = multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_58,X_58),X_341)))) ),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))),multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)))))) )],[refute_0_7571,refute_0_7572]) ).
cnf(refute_0_7574,plain,
multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))) = multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_58,X_58),X_341)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341)))),inverse(multiply(X_58,commutator(multiply(X_58,X_58),X_341)))) )],[refute_0_7570,refute_0_7573]) ).
cnf(refute_0_7575,plain,
( multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))) != multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_58,X_58),X_341))))
| multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_58,X_58),X_341)))) != commutator(X_341,multiply(X_58,X_58))
| multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))) = commutator(X_341,multiply(X_58,X_58)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))))),bind(Y0,$fot(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_58,X_58),X_341)))))),bind(Z0,$fot(commutator(X_341,multiply(X_58,X_58))))]]) ).
cnf(refute_0_7576,plain,
( multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_58,X_58),X_341)))) != commutator(X_341,multiply(X_58,X_58))
| multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))) = commutator(X_341,multiply(X_58,X_58)) ),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))),multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_58,X_58),X_341))))) )],[refute_0_7574,refute_0_7575]) ).
cnf(refute_0_7577,plain,
multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))) = commutator(X_341,multiply(X_58,X_58)),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_58,X_58),X_341)))),commutator(X_341,multiply(X_58,X_58))) )],[refute_0_7511,refute_0_7576]) ).
cnf(refute_0_7578,plain,
( multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))) != commutator(X_341,multiply(X_58,X_58))
| multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))) != commutator(multiply(X_341,X_58),multiply(inverse(X_341),X_58))
| commutator(X_341,multiply(X_58,X_58)) = commutator(multiply(X_341,X_58),multiply(inverse(X_341),X_58)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))),commutator(multiply(X_341,X_58),multiply(inverse(X_341),X_58))) ),[0],$fot(commutator(X_341,multiply(X_58,X_58)))]]) ).
cnf(refute_0_7579,plain,
( multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))) != commutator(multiply(X_341,X_58),multiply(inverse(X_341),X_58))
| commutator(X_341,multiply(X_58,X_58)) = commutator(multiply(X_341,X_58),multiply(inverse(X_341),X_58)) ),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))),commutator(X_341,multiply(X_58,X_58))) )],[refute_0_7577,refute_0_7578]) ).
cnf(refute_0_7580,plain,
commutator(X_341,multiply(X_58,X_58)) = commutator(multiply(X_341,X_58),multiply(inverse(X_341),X_58)),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_341,X_58),multiply(inverse(X_58),X_341))))),commutator(multiply(X_341,X_58),multiply(inverse(X_341),X_58))) )],[refute_0_7491,refute_0_7579]) ).
cnf(refute_0_7581,plain,
( commutator(X_341,multiply(X_58,X_58)) != commutator(multiply(X_341,X_58),multiply(inverse(X_341),X_58))
| commutator(multiply(X_341,X_58),multiply(inverse(X_341),X_58)) = commutator(X_341,multiply(X_58,X_58)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_341,multiply(X_58,X_58)))),bind(Y0,$fot(commutator(multiply(X_341,X_58),multiply(inverse(X_341),X_58))))]]) ).
cnf(refute_0_7582,plain,
commutator(multiply(X_341,X_58),multiply(inverse(X_341),X_58)) = commutator(X_341,multiply(X_58,X_58)),
inference(resolve,[$cnf( $equal(commutator(X_341,multiply(X_58,X_58)),commutator(multiply(X_341,X_58),multiply(inverse(X_341),X_58))) )],[refute_0_7580,refute_0_7581]) ).
cnf(refute_0_7583,plain,
commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)) = commutator(X_10,multiply(X_161,X_161)),
inference(subst,[],[refute_0_7582:[bind(X_341,$fot(X_10)),bind(X_58,$fot(X_161))]]) ).
cnf(refute_0_7584,plain,
multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10) = multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10),
introduced(tautology,[refl,[$fot(multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10))]]) ).
cnf(refute_0_7585,plain,
( multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10) != multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10)
| commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)) != commutator(X_10,multiply(X_161,X_161))
| multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10) = multiply(commutator(X_10,multiply(X_161,X_161)),X_10) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10),multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10)) ),[1,0],$fot(commutator(X_10,multiply(X_161,X_161)))]]) ).
cnf(refute_0_7586,plain,
( commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)) != commutator(X_10,multiply(X_161,X_161))
| multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10) = multiply(commutator(X_10,multiply(X_161,X_161)),X_10) ),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10),multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10)) )],[refute_0_7584,refute_0_7585]) ).
cnf(refute_0_7587,plain,
multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10) = multiply(commutator(X_10,multiply(X_161,X_161)),X_10),
inference(resolve,[$cnf( $equal(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),commutator(X_10,multiply(X_161,X_161))) )],[refute_0_7583,refute_0_7586]) ).
cnf(refute_0_7588,plain,
( multiply(commutator(X_10,multiply(X_161,X_161)),X_10) != multiply(X_10,commutator(X_10,multiply(X_161,X_161)))
| multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10) != multiply(commutator(X_10,multiply(X_161,X_161)),X_10)
| multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10) = multiply(X_10,commutator(X_10,multiply(X_161,X_161))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10))),bind(Y0,$fot(multiply(commutator(X_10,multiply(X_161,X_161)),X_10))),bind(Z0,$fot(multiply(X_10,commutator(X_10,multiply(X_161,X_161)))))]]) ).
cnf(refute_0_7589,plain,
( multiply(commutator(X_10,multiply(X_161,X_161)),X_10) != multiply(X_10,commutator(X_10,multiply(X_161,X_161)))
| multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10) = multiply(X_10,commutator(X_10,multiply(X_161,X_161))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10),multiply(commutator(X_10,multiply(X_161,X_161)),X_10)) )],[refute_0_7587,refute_0_7588]) ).
cnf(refute_0_7590,plain,
multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10) = multiply(X_10,commutator(X_10,multiply(X_161,X_161))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_10,multiply(X_161,X_161)),X_10),multiply(X_10,commutator(X_10,multiply(X_161,X_161)))) )],[refute_0_6992,refute_0_7589]) ).
cnf(refute_0_7591,plain,
multiply(inverse(X_10),multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10)) = multiply(inverse(X_10),multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10)),
introduced(tautology,[refl,[$fot(multiply(inverse(X_10),multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10)))]]) ).
cnf(refute_0_7592,plain,
( multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10) != multiply(X_10,commutator(X_10,multiply(X_161,X_161)))
| multiply(inverse(X_10),multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10)) != multiply(inverse(X_10),multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10))
| multiply(inverse(X_10),multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10)) = multiply(inverse(X_10),multiply(X_10,commutator(X_10,multiply(X_161,X_161)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_10),multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10)),multiply(inverse(X_10),multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10))) ),[1,1],$fot(multiply(X_10,commutator(X_10,multiply(X_161,X_161))))]]) ).
cnf(refute_0_7593,plain,
( multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10) != multiply(X_10,commutator(X_10,multiply(X_161,X_161)))
| multiply(inverse(X_10),multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10)) = multiply(inverse(X_10),multiply(X_10,commutator(X_10,multiply(X_161,X_161)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10)),multiply(inverse(X_10),multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10))) )],[refute_0_7591,refute_0_7592]) ).
cnf(refute_0_7594,plain,
multiply(inverse(X_10),multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10)) = multiply(inverse(X_10),multiply(X_10,commutator(X_10,multiply(X_161,X_161)))),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10),multiply(X_10,commutator(X_10,multiply(X_161,X_161)))) )],[refute_0_7590,refute_0_7593]) ).
cnf(refute_0_7595,plain,
( multiply(inverse(X_10),multiply(X_10,commutator(X_10,multiply(X_161,X_161)))) != commutator(X_10,multiply(X_161,X_161))
| multiply(inverse(X_10),multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10)) != multiply(inverse(X_10),multiply(X_10,commutator(X_10,multiply(X_161,X_161))))
| multiply(inverse(X_10),multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10)) = commutator(X_10,multiply(X_161,X_161)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(X_10),multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10)))),bind(Y0,$fot(multiply(inverse(X_10),multiply(X_10,commutator(X_10,multiply(X_161,X_161)))))),bind(Z0,$fot(commutator(X_10,multiply(X_161,X_161))))]]) ).
cnf(refute_0_7596,plain,
( multiply(inverse(X_10),multiply(X_10,commutator(X_10,multiply(X_161,X_161)))) != commutator(X_10,multiply(X_161,X_161))
| multiply(inverse(X_10),multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10)) = commutator(X_10,multiply(X_161,X_161)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10)),multiply(inverse(X_10),multiply(X_10,commutator(X_10,multiply(X_161,X_161))))) )],[refute_0_7594,refute_0_7595]) ).
cnf(refute_0_7597,plain,
multiply(inverse(X_10),multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10)) = commutator(X_10,multiply(X_161,X_161)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),multiply(X_10,commutator(X_10,multiply(X_161,X_161)))),commutator(X_10,multiply(X_161,X_161))) )],[refute_0_6991,refute_0_7596]) ).
cnf(refute_0_7598,plain,
multiply(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))),X_10) = multiply(inverse(X_10),multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10)),
inference(subst,[],[associativity:[bind(X,$fot(inverse(X_10))),bind(Y,$fot(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)))),bind(Z,$fot(X_10))]]) ).
cnf(refute_0_7599,plain,
( multiply(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))),X_10) != multiply(inverse(X_10),multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10))
| multiply(inverse(X_10),multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10)) != commutator(X_10,multiply(X_161,X_161))
| multiply(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))),X_10) = commutator(X_10,multiply(X_161,X_161)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))),X_10))),bind(Y0,$fot(multiply(inverse(X_10),multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10)))),bind(Z0,$fot(commutator(X_10,multiply(X_161,X_161))))]]) ).
cnf(refute_0_7600,plain,
( multiply(inverse(X_10),multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10)) != commutator(X_10,multiply(X_161,X_161))
| multiply(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))),X_10) = commutator(X_10,multiply(X_161,X_161)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))),X_10),multiply(inverse(X_10),multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10))) )],[refute_0_7598,refute_0_7599]) ).
cnf(refute_0_7601,plain,
multiply(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))),X_10) = commutator(X_10,multiply(X_161,X_161)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),multiply(commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)),X_10)),commutator(X_10,multiply(X_161,X_161))) )],[refute_0_7597,refute_0_7600]) ).
cnf(refute_0_7602,plain,
inverse(multiply(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))),X_10)) = inverse(multiply(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))),X_10)),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))),X_10)))]]) ).
cnf(refute_0_7603,plain,
( multiply(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))),X_10) != commutator(X_10,multiply(X_161,X_161))
| inverse(multiply(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))),X_10)) != inverse(multiply(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))),X_10))
| inverse(multiply(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))),X_10)) = inverse(commutator(X_10,multiply(X_161,X_161))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))),X_10)),inverse(multiply(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))),X_10))) ),[1,0],$fot(commutator(X_10,multiply(X_161,X_161)))]]) ).
cnf(refute_0_7604,plain,
( multiply(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))),X_10) != commutator(X_10,multiply(X_161,X_161))
| inverse(multiply(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))),X_10)) = inverse(commutator(X_10,multiply(X_161,X_161))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))),X_10)),inverse(multiply(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))),X_10))) )],[refute_0_7602,refute_0_7603]) ).
cnf(refute_0_7605,plain,
inverse(multiply(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))),X_10)) = inverse(commutator(X_10,multiply(X_161,X_161))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))),X_10),commutator(X_10,multiply(X_161,X_161))) )],[refute_0_7601,refute_0_7604]) ).
cnf(refute_0_7606,plain,
( inverse(multiply(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))),X_10)) != inverse(commutator(X_10,multiply(X_161,X_161)))
| inverse(commutator(X_10,multiply(X_161,X_161))) != commutator(multiply(X_161,X_161),X_10)
| inverse(multiply(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))),X_10)) = commutator(multiply(X_161,X_161),X_10) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))),X_10)))),bind(Y0,$fot(inverse(commutator(X_10,multiply(X_161,X_161))))),bind(Z0,$fot(commutator(multiply(X_161,X_161),X_10)))]]) ).
cnf(refute_0_7607,plain,
( inverse(commutator(X_10,multiply(X_161,X_161))) != commutator(multiply(X_161,X_161),X_10)
| inverse(multiply(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))),X_10)) = commutator(multiply(X_161,X_161),X_10) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))),X_10)),inverse(commutator(X_10,multiply(X_161,X_161)))) )],[refute_0_7605,refute_0_7606]) ).
cnf(refute_0_7608,plain,
inverse(multiply(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))),X_10)) = commutator(multiply(X_161,X_161),X_10),
inference(resolve,[$cnf( $equal(inverse(commutator(X_10,multiply(X_161,X_161))),commutator(multiply(X_161,X_161),X_10)) )],[refute_0_6990,refute_0_7607]) ).
cnf(refute_0_7609,plain,
multiply(inverse(X_10),inverse(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))))) = inverse(multiply(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))),X_10)),
inference(subst,[],[refute_0_257:[bind(X_58,$fot(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161)))))]]) ).
cnf(refute_0_7610,plain,
( multiply(inverse(X_10),inverse(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))))) != inverse(multiply(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))),X_10))
| inverse(multiply(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))),X_10)) != commutator(multiply(X_161,X_161),X_10)
| multiply(inverse(X_10),inverse(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))))) = commutator(multiply(X_161,X_161),X_10) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(X_10),inverse(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))))))),bind(Y0,$fot(inverse(multiply(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))),X_10)))),bind(Z0,$fot(commutator(multiply(X_161,X_161),X_10)))]]) ).
cnf(refute_0_7611,plain,
( inverse(multiply(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))),X_10)) != commutator(multiply(X_161,X_161),X_10)
| multiply(inverse(X_10),inverse(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))))) = commutator(multiply(X_161,X_161),X_10) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),inverse(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))))),inverse(multiply(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))),X_10))) )],[refute_0_7609,refute_0_7610]) ).
cnf(refute_0_7612,plain,
multiply(inverse(X_10),inverse(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))))) = commutator(multiply(X_161,X_161),X_10),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))),X_10)),commutator(multiply(X_161,X_161),X_10)) )],[refute_0_7608,refute_0_7611]) ).
cnf(refute_0_7613,plain,
( multiply(inverse(X_10),inverse(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))))) != commutator(multiply(X_161,X_161),X_10)
| multiply(inverse(X_10),inverse(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))))) != commutator(multiply(inverse(X_10),inverse(X_10)),multiply(X_10,X_161))
| commutator(multiply(X_161,X_161),X_10) = commutator(multiply(inverse(X_10),inverse(X_10)),multiply(X_10,X_161)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_10),inverse(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))))),commutator(multiply(inverse(X_10),inverse(X_10)),multiply(X_10,X_161))) ),[0],$fot(commutator(multiply(X_161,X_161),X_10))]]) ).
cnf(refute_0_7614,plain,
( multiply(inverse(X_10),inverse(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))))) != commutator(multiply(inverse(X_10),inverse(X_10)),multiply(X_10,X_161))
| commutator(multiply(X_161,X_161),X_10) = commutator(multiply(inverse(X_10),inverse(X_10)),multiply(X_10,X_161)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),inverse(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))))),commutator(multiply(X_161,X_161),X_10)) )],[refute_0_7612,refute_0_7613]) ).
cnf(refute_0_7615,plain,
commutator(inverse(multiply(X_10,X_10)),multiply(X_10,X_161)) = commutator(multiply(X_10,X_161),multiply(X_10,X_10)),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(multiply(X_10,X_10))),bind(X_110,$fot(multiply(X_10,X_161)))]]) ).
cnf(refute_0_7616,plain,
multiply(inverse(X_10),inverse(X_10)) = inverse(multiply(X_10,X_10)),
inference(subst,[],[refute_0_257:[bind(X_58,$fot(X_10))]]) ).
cnf(refute_0_7617,plain,
commutator(multiply(inverse(X_10),inverse(X_10)),multiply(X_10,X_161)) = commutator(multiply(inverse(X_10),inverse(X_10)),multiply(X_10,X_161)),
introduced(tautology,[refl,[$fot(commutator(multiply(inverse(X_10),inverse(X_10)),multiply(X_10,X_161)))]]) ).
cnf(refute_0_7618,plain,
( multiply(inverse(X_10),inverse(X_10)) != inverse(multiply(X_10,X_10))
| commutator(multiply(inverse(X_10),inverse(X_10)),multiply(X_10,X_161)) != commutator(multiply(inverse(X_10),inverse(X_10)),multiply(X_10,X_161))
| commutator(multiply(inverse(X_10),inverse(X_10)),multiply(X_10,X_161)) = commutator(inverse(multiply(X_10,X_10)),multiply(X_10,X_161)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(X_10),inverse(X_10)),multiply(X_10,X_161)),commutator(multiply(inverse(X_10),inverse(X_10)),multiply(X_10,X_161))) ),[1,0],$fot(inverse(multiply(X_10,X_10)))]]) ).
cnf(refute_0_7619,plain,
( multiply(inverse(X_10),inverse(X_10)) != inverse(multiply(X_10,X_10))
| commutator(multiply(inverse(X_10),inverse(X_10)),multiply(X_10,X_161)) = commutator(inverse(multiply(X_10,X_10)),multiply(X_10,X_161)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_10),inverse(X_10)),multiply(X_10,X_161)),commutator(multiply(inverse(X_10),inverse(X_10)),multiply(X_10,X_161))) )],[refute_0_7617,refute_0_7618]) ).
cnf(refute_0_7620,plain,
commutator(multiply(inverse(X_10),inverse(X_10)),multiply(X_10,X_161)) = commutator(inverse(multiply(X_10,X_10)),multiply(X_10,X_161)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),inverse(X_10)),inverse(multiply(X_10,X_10))) )],[refute_0_7616,refute_0_7619]) ).
cnf(refute_0_7621,plain,
( commutator(multiply(inverse(X_10),inverse(X_10)),multiply(X_10,X_161)) != commutator(inverse(multiply(X_10,X_10)),multiply(X_10,X_161))
| commutator(inverse(multiply(X_10,X_10)),multiply(X_10,X_161)) != commutator(multiply(X_10,X_161),multiply(X_10,X_10))
| commutator(multiply(inverse(X_10),inverse(X_10)),multiply(X_10,X_161)) = commutator(multiply(X_10,X_161),multiply(X_10,X_10)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(inverse(X_10),inverse(X_10)),multiply(X_10,X_161)))),bind(Y0,$fot(commutator(inverse(multiply(X_10,X_10)),multiply(X_10,X_161)))),bind(Z0,$fot(commutator(multiply(X_10,X_161),multiply(X_10,X_10))))]]) ).
cnf(refute_0_7622,plain,
( commutator(inverse(multiply(X_10,X_10)),multiply(X_10,X_161)) != commutator(multiply(X_10,X_161),multiply(X_10,X_10))
| commutator(multiply(inverse(X_10),inverse(X_10)),multiply(X_10,X_161)) = commutator(multiply(X_10,X_161),multiply(X_10,X_10)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_10),inverse(X_10)),multiply(X_10,X_161)),commutator(inverse(multiply(X_10,X_10)),multiply(X_10,X_161))) )],[refute_0_7620,refute_0_7621]) ).
cnf(refute_0_7623,plain,
commutator(multiply(inverse(X_10),inverse(X_10)),multiply(X_10,X_161)) = commutator(multiply(X_10,X_161),multiply(X_10,X_10)),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_10,X_10)),multiply(X_10,X_161)),commutator(multiply(X_10,X_161),multiply(X_10,X_10))) )],[refute_0_7615,refute_0_7622]) ).
cnf(refute_0_7624,plain,
( commutator(multiply(X_161,X_161),X_10) != commutator(multiply(inverse(X_10),inverse(X_10)),multiply(X_10,X_161))
| commutator(multiply(inverse(X_10),inverse(X_10)),multiply(X_10,X_161)) != commutator(multiply(X_10,X_161),multiply(X_10,X_10))
| commutator(multiply(X_161,X_161),X_10) = commutator(multiply(X_10,X_161),multiply(X_10,X_10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(multiply(X_161,X_161),X_10),commutator(multiply(X_10,X_161),multiply(X_10,X_10))) ),[0],$fot(commutator(multiply(inverse(X_10),inverse(X_10)),multiply(X_10,X_161)))]]) ).
cnf(refute_0_7625,plain,
( commutator(multiply(X_161,X_161),X_10) != commutator(multiply(inverse(X_10),inverse(X_10)),multiply(X_10,X_161))
| commutator(multiply(X_161,X_161),X_10) = commutator(multiply(X_10,X_161),multiply(X_10,X_10)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_10),inverse(X_10)),multiply(X_10,X_161)),commutator(multiply(X_10,X_161),multiply(X_10,X_10))) )],[refute_0_7623,refute_0_7624]) ).
cnf(refute_0_7626,plain,
( multiply(inverse(X_10),inverse(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))))) != commutator(multiply(inverse(X_10),inverse(X_10)),multiply(X_10,X_161))
| commutator(multiply(X_161,X_161),X_10) = commutator(multiply(X_10,X_161),multiply(X_10,X_10)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_161,X_161),X_10),commutator(multiply(inverse(X_10),inverse(X_10)),multiply(X_10,X_161))) )],[refute_0_7614,refute_0_7625]) ).
cnf(refute_0_7627,plain,
commutator(multiply(X_161,X_161),X_10) = commutator(multiply(X_10,X_161),multiply(X_10,X_10)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),inverse(multiply(inverse(X_10),commutator(multiply(X_10,X_161),multiply(inverse(X_10),X_161))))),commutator(multiply(inverse(X_10),inverse(X_10)),multiply(X_10,X_161))) )],[refute_0_6989,refute_0_7626]) ).
cnf(refute_0_7628,plain,
multiply(X_90,multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),inverse(X_90))) = multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),commutator(X_90,commutator(multiply(X_267,X_90),multiply(X_267,X_267)))),
inference(subst,[],[refute_0_933:[bind(X_10,$fot(commutator(multiply(X_267,X_90),multiply(X_267,X_267))))]]) ).
cnf(refute_0_7629,plain,
commutator(commutator(multiply(inverse(X_136),X_264),multiply(X_264,X_264)),X_136) = multiply(X_136,inverse(multiply(X_136,commutator(X_136,commutator(multiply(inverse(X_136),X_264),multiply(X_264,X_264)))))),
inference(subst,[],[refute_0_1923:[bind(Y,$fot(commutator(multiply(inverse(X_136),X_264),multiply(X_264,X_264))))]]) ).
cnf(refute_0_7630,plain,
identity = commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(multiply(inverse(X_261),Z),multiply(multiply(inverse(X_261),Z),X_261)),multiply(X_261,multiply(multiply(inverse(X_261),Z),multiply(X_261,multiply(inverse(X_261),Z)))))),
inference(subst,[],[refute_0_7229:[bind(X_256,$fot(multiply(inverse(X_261),Z))),bind(X_257,$fot(X_261))]]) ).
cnf(refute_0_7631,plain,
Z = multiply(X_261,multiply(inverse(X_261),Z)),
inference(subst,[],[refute_0_141:[bind(X,$fot(X_261))]]) ).
cnf(refute_0_7632,plain,
( Z != multiply(X_261,multiply(inverse(X_261),Z))
| multiply(X_261,multiply(inverse(X_261),Z)) = Z ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(Z)),bind(Y0,$fot(multiply(X_261,multiply(inverse(X_261),Z))))]]) ).
cnf(refute_0_7633,plain,
multiply(X_261,multiply(inverse(X_261),Z)) = Z,
inference(resolve,[$cnf( $equal(Z,multiply(X_261,multiply(inverse(X_261),Z))) )],[refute_0_7631,refute_0_7632]) ).
cnf(refute_0_7634,plain,
( multiply(X_261,multiply(inverse(X_261),Z)) != Z
| identity != commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(multiply(inverse(X_261),Z),multiply(multiply(inverse(X_261),Z),X_261)),multiply(X_261,multiply(multiply(inverse(X_261),Z),multiply(X_261,multiply(inverse(X_261),Z))))))
| identity = commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(multiply(inverse(X_261),Z),multiply(multiply(inverse(X_261),Z),X_261)),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(multiply(inverse(X_261),Z),multiply(multiply(inverse(X_261),Z),X_261)),multiply(X_261,multiply(multiply(inverse(X_261),Z),multiply(X_261,multiply(inverse(X_261),Z))))))) ),[1,1,1,1,1],$fot(Z)]]) ).
cnf(refute_0_7635,plain,
( identity != commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(multiply(inverse(X_261),Z),multiply(multiply(inverse(X_261),Z),X_261)),multiply(X_261,multiply(multiply(inverse(X_261),Z),multiply(X_261,multiply(inverse(X_261),Z))))))
| identity = commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(multiply(inverse(X_261),Z),multiply(multiply(inverse(X_261),Z),X_261)),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) ),
inference(resolve,[$cnf( $equal(multiply(X_261,multiply(inverse(X_261),Z)),Z) )],[refute_0_7633,refute_0_7634]) ).
cnf(refute_0_7636,plain,
identity = commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(multiply(inverse(X_261),Z),multiply(multiply(inverse(X_261),Z),X_261)),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))),
inference(resolve,[$cnf( $equal(identity,commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(multiply(inverse(X_261),Z),multiply(multiply(inverse(X_261),Z),X_261)),multiply(X_261,multiply(multiply(inverse(X_261),Z),multiply(X_261,multiply(inverse(X_261),Z))))))) )],[refute_0_7630,refute_0_7635]) ).
cnf(refute_0_7637,plain,
multiply(X_261,multiply(inverse(X_261),multiply(Z,Z))) = multiply(Z,Z),
inference(subst,[],[refute_0_343:[bind(X,$fot(X_261)),bind(Z,$fot(multiply(Z,Z)))]]) ).
cnf(refute_0_7638,plain,
multiply(multiply(inverse(X_261),Z),Z) = multiply(inverse(X_261),multiply(Z,Z)),
inference(subst,[],[associativity:[bind(X,$fot(inverse(X_261))),bind(Y,$fot(Z))]]) ).
cnf(refute_0_7639,plain,
multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)) = multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)),
introduced(tautology,[refl,[$fot(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))]]) ).
cnf(refute_0_7640,plain,
( multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)) != multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))
| multiply(multiply(inverse(X_261),Z),Z) != multiply(inverse(X_261),multiply(Z,Z))
| multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)) = multiply(X_261,multiply(inverse(X_261),multiply(Z,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))) ),[1,1],$fot(multiply(inverse(X_261),multiply(Z,Z)))]]) ).
cnf(refute_0_7641,plain,
( multiply(multiply(inverse(X_261),Z),Z) != multiply(inverse(X_261),multiply(Z,Z))
| multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)) = multiply(X_261,multiply(inverse(X_261),multiply(Z,Z))) ),
inference(resolve,[$cnf( $equal(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))) )],[refute_0_7639,refute_0_7640]) ).
cnf(refute_0_7642,plain,
multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)) = multiply(X_261,multiply(inverse(X_261),multiply(Z,Z))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_261),Z),Z),multiply(inverse(X_261),multiply(Z,Z))) )],[refute_0_7638,refute_0_7641]) ).
cnf(refute_0_7643,plain,
( multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)) != multiply(X_261,multiply(inverse(X_261),multiply(Z,Z)))
| multiply(X_261,multiply(inverse(X_261),multiply(Z,Z))) != multiply(Z,Z)
| multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)) = multiply(Z,Z) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))),bind(Y0,$fot(multiply(X_261,multiply(inverse(X_261),multiply(Z,Z))))),bind(Z0,$fot(multiply(Z,Z)))]]) ).
cnf(refute_0_7644,plain,
( multiply(X_261,multiply(inverse(X_261),multiply(Z,Z))) != multiply(Z,Z)
| multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)) = multiply(Z,Z) ),
inference(resolve,[$cnf( $equal(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)),multiply(X_261,multiply(inverse(X_261),multiply(Z,Z)))) )],[refute_0_7642,refute_0_7643]) ).
cnf(refute_0_7645,plain,
multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)) = multiply(Z,Z),
inference(resolve,[$cnf( $equal(multiply(X_261,multiply(inverse(X_261),multiply(Z,Z))),multiply(Z,Z)) )],[refute_0_7637,refute_0_7644]) ).
cnf(refute_0_7646,plain,
commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))) = commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))),
introduced(tautology,[refl,[$fot(commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))))]]) ).
cnf(refute_0_7647,plain,
( multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)) != multiply(Z,Z)
| commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))) != commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))
| commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))) = commutator(multiply(inverse(X_261),Z),multiply(Z,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))),commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) ),[1,1],$fot(multiply(Z,Z))]]) ).
cnf(refute_0_7648,plain,
( multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)) != multiply(Z,Z)
| commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))) = commutator(multiply(inverse(X_261),Z),multiply(Z,Z)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))),commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) )],[refute_0_7646,refute_0_7647]) ).
cnf(refute_0_7649,plain,
commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))) = commutator(multiply(inverse(X_261),Z),multiply(Z,Z)),
inference(resolve,[$cnf( $equal(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)),multiply(Z,Z)) )],[refute_0_7645,refute_0_7648]) ).
cnf(refute_0_7650,plain,
commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) = commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))),
introduced(tautology,[refl,[$fot(commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))))]]) ).
cnf(refute_0_7651,plain,
( commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) != commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))))
| commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))) != commutator(multiply(inverse(X_261),Z),multiply(Z,Z))
| commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) = commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(Z,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))),commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))))) ),[1,1],$fot(commutator(multiply(inverse(X_261),Z),multiply(Z,Z)))]]) ).
cnf(refute_0_7652,plain,
( commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))) != commutator(multiply(inverse(X_261),Z),multiply(Z,Z))
| commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) = commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(Z,Z))) ),
inference(resolve,[$cnf( $equal(commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))),commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))))) )],[refute_0_7650,refute_0_7651]) ).
cnf(refute_0_7653,plain,
commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) = commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(Z,Z))),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))),commutator(multiply(inverse(X_261),Z),multiply(Z,Z))) )],[refute_0_7649,refute_0_7652]) ).
cnf(refute_0_7654,plain,
commutator(X_261,commutator(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)),multiply(inverse(X_261),Z))) = commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))),
inference(subst,[],[refute_0_1952:[bind(X_136,$fot(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))),bind(X_217,$fot(multiply(inverse(X_261),Z))),bind(X_218,$fot(X_261))]]) ).
cnf(refute_0_7655,plain,
commutator(multiply(inverse(X_261),Z),commutator(X_261,multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) = commutator(X_261,commutator(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)),multiply(inverse(X_261),Z))),
inference(subst,[],[refute_0_7219:[bind(X_217,$fot(X_261)),bind(X_218,$fot(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))),bind(X_90,$fot(multiply(inverse(X_261),Z)))]]) ).
cnf(refute_0_7656,plain,
( commutator(X_261,commutator(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)),multiply(inverse(X_261),Z))) != commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))))
| commutator(multiply(inverse(X_261),Z),commutator(X_261,multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) != commutator(X_261,commutator(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)),multiply(inverse(X_261),Z)))
| commutator(multiply(inverse(X_261),Z),commutator(X_261,multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) = commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(inverse(X_261),Z),commutator(X_261,multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))))),bind(Y0,$fot(commutator(X_261,commutator(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)),multiply(inverse(X_261),Z))))),bind(Z0,$fot(commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))))))]]) ).
cnf(refute_0_7657,plain,
( commutator(X_261,commutator(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)),multiply(inverse(X_261),Z))) != commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))))
| commutator(multiply(inverse(X_261),Z),commutator(X_261,multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) = commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_261),Z),commutator(X_261,multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))),commutator(X_261,commutator(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)),multiply(inverse(X_261),Z)))) )],[refute_0_7655,refute_0_7656]) ).
cnf(refute_0_7658,plain,
commutator(multiply(inverse(X_261),Z),commutator(X_261,multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) = commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))),
inference(resolve,[$cnf( $equal(commutator(X_261,commutator(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)),multiply(inverse(X_261),Z))),commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))))) )],[refute_0_7654,refute_0_7657]) ).
cnf(refute_0_7659,plain,
commutator(multiply(inverse(X_261),Z),commutator(multiply(multiply(inverse(X_261),Z),X_261),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) = commutator(multiply(inverse(X_261),Z),commutator(X_261,multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))),
inference(subst,[],[refute_0_7250:[bind(X,$fot(multiply(inverse(X_261),Z))),bind(Z,$fot(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))),bind(X_86,$fot(X_261))]]) ).
cnf(refute_0_7660,plain,
( commutator(multiply(inverse(X_261),Z),commutator(X_261,multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) != commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))))
| commutator(multiply(inverse(X_261),Z),commutator(multiply(multiply(inverse(X_261),Z),X_261),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) != commutator(multiply(inverse(X_261),Z),commutator(X_261,multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))))
| commutator(multiply(inverse(X_261),Z),commutator(multiply(multiply(inverse(X_261),Z),X_261),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) = commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(inverse(X_261),Z),commutator(multiply(multiply(inverse(X_261),Z),X_261),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))))),bind(Y0,$fot(commutator(multiply(inverse(X_261),Z),commutator(X_261,multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))))),bind(Z0,$fot(commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))))))]]) ).
cnf(refute_0_7661,plain,
( commutator(multiply(inverse(X_261),Z),commutator(X_261,multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) != commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))))
| commutator(multiply(inverse(X_261),Z),commutator(multiply(multiply(inverse(X_261),Z),X_261),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) = commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_261),Z),commutator(multiply(multiply(inverse(X_261),Z),X_261),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))),commutator(multiply(inverse(X_261),Z),commutator(X_261,multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))))) )],[refute_0_7659,refute_0_7660]) ).
cnf(refute_0_7662,plain,
commutator(multiply(inverse(X_261),Z),commutator(multiply(multiply(inverse(X_261),Z),X_261),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) = commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_261),Z),commutator(X_261,multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))),commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))))) )],[refute_0_7658,refute_0_7661]) ).
cnf(refute_0_7663,plain,
commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)),multiply(inverse(X_261),Z))) = commutator(multiply(inverse(X_261),Z),commutator(multiply(multiply(inverse(X_261),Z),X_261),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))),
inference(subst,[],[refute_0_7253:[bind(X_217,$fot(multiply(multiply(inverse(X_261),Z),X_261))),bind(X_218,$fot(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))),bind(X_90,$fot(multiply(inverse(X_261),Z)))]]) ).
cnf(refute_0_7664,plain,
( commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)),multiply(inverse(X_261),Z))) != commutator(multiply(inverse(X_261),Z),commutator(multiply(multiply(inverse(X_261),Z),X_261),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))))
| commutator(multiply(inverse(X_261),Z),commutator(multiply(multiply(inverse(X_261),Z),X_261),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) != commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))))
| commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)),multiply(inverse(X_261),Z))) = commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)),multiply(inverse(X_261),Z))))),bind(Y0,$fot(commutator(multiply(inverse(X_261),Z),commutator(multiply(multiply(inverse(X_261),Z),X_261),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))))),bind(Z0,$fot(commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))))))]]) ).
cnf(refute_0_7665,plain,
( commutator(multiply(inverse(X_261),Z),commutator(multiply(multiply(inverse(X_261),Z),X_261),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) != commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))))
| commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)),multiply(inverse(X_261),Z))) = commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)),multiply(inverse(X_261),Z))),commutator(multiply(inverse(X_261),Z),commutator(multiply(multiply(inverse(X_261),Z),X_261),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))))) )],[refute_0_7663,refute_0_7664]) ).
cnf(refute_0_7666,plain,
commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)),multiply(inverse(X_261),Z))) = commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_261),Z),commutator(multiply(multiply(inverse(X_261),Z),X_261),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))),commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))))) )],[refute_0_7662,refute_0_7665]) ).
cnf(refute_0_7667,plain,
commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)),multiply(multiply(inverse(X_261),Z),multiply(multiply(inverse(X_261),Z),X_261)))) = commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)),multiply(inverse(X_261),Z))),
inference(subst,[],[refute_0_7315:[bind(Y,$fot(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))),bind(X_245,$fot(multiply(multiply(inverse(X_261),Z),X_261))),bind(X_246,$fot(multiply(inverse(X_261),Z)))]]) ).
cnf(refute_0_7668,plain,
( commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)),multiply(multiply(inverse(X_261),Z),multiply(multiply(inverse(X_261),Z),X_261)))) != commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)),multiply(inverse(X_261),Z)))
| commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)),multiply(inverse(X_261),Z))) != commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))))
| commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)),multiply(multiply(inverse(X_261),Z),multiply(multiply(inverse(X_261),Z),X_261)))) = commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)),multiply(multiply(inverse(X_261),Z),multiply(multiply(inverse(X_261),Z),X_261)))))),bind(Y0,$fot(commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)),multiply(inverse(X_261),Z))))),bind(Z0,$fot(commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))))))]]) ).
cnf(refute_0_7669,plain,
( commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)),multiply(inverse(X_261),Z))) != commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))))
| commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)),multiply(multiply(inverse(X_261),Z),multiply(multiply(inverse(X_261),Z),X_261)))) = commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)),multiply(multiply(inverse(X_261),Z),multiply(multiply(inverse(X_261),Z),X_261)))),commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)),multiply(inverse(X_261),Z)))) )],[refute_0_7667,refute_0_7668]) ).
cnf(refute_0_7670,plain,
commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)),multiply(multiply(inverse(X_261),Z),multiply(multiply(inverse(X_261),Z),X_261)))) = commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))),
inference(resolve,[$cnf( $equal(commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)),multiply(inverse(X_261),Z))),commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))))) )],[refute_0_7666,refute_0_7669]) ).
cnf(refute_0_7671,plain,
commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(multiply(inverse(X_261),Z),multiply(multiply(inverse(X_261),Z),X_261)),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) = commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)),multiply(multiply(inverse(X_261),Z),multiply(multiply(inverse(X_261),Z),X_261)))),
inference(subst,[],[refute_0_1952:[bind(X_136,$fot(multiply(multiply(inverse(X_261),Z),multiply(multiply(inverse(X_261),Z),X_261)))),bind(X_217,$fot(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))),bind(X_218,$fot(multiply(multiply(inverse(X_261),Z),X_261)))]]) ).
cnf(refute_0_7672,plain,
( commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)),multiply(multiply(inverse(X_261),Z),multiply(multiply(inverse(X_261),Z),X_261)))) != commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))))
| commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(multiply(inverse(X_261),Z),multiply(multiply(inverse(X_261),Z),X_261)),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) != commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)),multiply(multiply(inverse(X_261),Z),multiply(multiply(inverse(X_261),Z),X_261))))
| commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(multiply(inverse(X_261),Z),multiply(multiply(inverse(X_261),Z),X_261)),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) = commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(multiply(inverse(X_261),Z),multiply(multiply(inverse(X_261),Z),X_261)),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))))),bind(Y0,$fot(commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)),multiply(multiply(inverse(X_261),Z),multiply(multiply(inverse(X_261),Z),X_261)))))),bind(Z0,$fot(commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))))))]]) ).
cnf(refute_0_7673,plain,
( commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)),multiply(multiply(inverse(X_261),Z),multiply(multiply(inverse(X_261),Z),X_261)))) != commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))))
| commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(multiply(inverse(X_261),Z),multiply(multiply(inverse(X_261),Z),X_261)),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) = commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(multiply(inverse(X_261),Z),multiply(multiply(inverse(X_261),Z),X_261)),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))),commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)),multiply(multiply(inverse(X_261),Z),multiply(multiply(inverse(X_261),Z),X_261))))) )],[refute_0_7671,refute_0_7672]) ).
cnf(refute_0_7674,plain,
commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(multiply(inverse(X_261),Z),multiply(multiply(inverse(X_261),Z),X_261)),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) = commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))),
inference(resolve,[$cnf( $equal(commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)),multiply(multiply(inverse(X_261),Z),multiply(multiply(inverse(X_261),Z),X_261)))),commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))))) )],[refute_0_7670,refute_0_7673]) ).
cnf(refute_0_7675,plain,
( commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) != commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(Z,Z)))
| commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(multiply(inverse(X_261),Z),multiply(multiply(inverse(X_261),Z),X_261)),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) != commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))))
| commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(multiply(inverse(X_261),Z),multiply(multiply(inverse(X_261),Z),X_261)),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) = commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(Z,Z))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(multiply(inverse(X_261),Z),multiply(multiply(inverse(X_261),Z),X_261)),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))))),bind(Y0,$fot(commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))))),bind(Z0,$fot(commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(Z,Z)))))]]) ).
cnf(refute_0_7676,plain,
( commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) != commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(Z,Z)))
| commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(multiply(inverse(X_261),Z),multiply(multiply(inverse(X_261),Z),X_261)),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) = commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(Z,Z))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(multiply(inverse(X_261),Z),multiply(multiply(inverse(X_261),Z),X_261)),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))),commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))))) )],[refute_0_7674,refute_0_7675]) ).
cnf(refute_0_7677,plain,
commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(multiply(inverse(X_261),Z),multiply(multiply(inverse(X_261),Z),X_261)),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) = commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(Z,Z))),
inference(resolve,[$cnf( $equal(commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))),commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(Z,Z)))) )],[refute_0_7653,refute_0_7676]) ).
cnf(refute_0_7678,plain,
( commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(multiply(inverse(X_261),Z),multiply(multiply(inverse(X_261),Z),X_261)),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))) != commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(Z,Z)))
| identity != commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(multiply(inverse(X_261),Z),multiply(multiply(inverse(X_261),Z),X_261)),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))))
| identity = commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(Z,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(multiply(inverse(X_261),Z),multiply(multiply(inverse(X_261),Z),X_261)),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))))) ),[1],$fot(commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(Z,Z))))]]) ).
cnf(refute_0_7679,plain,
( identity != commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(multiply(inverse(X_261),Z),multiply(multiply(inverse(X_261),Z),X_261)),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))))
| identity = commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(Z,Z))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(multiply(inverse(X_261),Z),multiply(multiply(inverse(X_261),Z),X_261)),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z)))),commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(Z,Z)))) )],[refute_0_7677,refute_0_7678]) ).
cnf(refute_0_7680,plain,
identity = commutator(X_261,commutator(multiply(inverse(X_261),Z),multiply(Z,Z))),
inference(resolve,[$cnf( $equal(identity,commutator(multiply(multiply(inverse(X_261),Z),X_261),commutator(multiply(multiply(inverse(X_261),Z),multiply(multiply(inverse(X_261),Z),X_261)),multiply(X_261,multiply(multiply(inverse(X_261),Z),Z))))) )],[refute_0_7636,refute_0_7679]) ).
cnf(refute_0_7681,plain,
identity = commutator(X_136,commutator(multiply(inverse(X_136),X_264),multiply(X_264,X_264))),
inference(subst,[],[refute_0_7680:[bind(Z,$fot(X_264)),bind(X_261,$fot(X_136))]]) ).
cnf(refute_0_7682,plain,
( identity != commutator(X_136,commutator(multiply(inverse(X_136),X_264),multiply(X_264,X_264)))
| commutator(X_136,commutator(multiply(inverse(X_136),X_264),multiply(X_264,X_264))) = identity ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(identity)),bind(Y0,$fot(commutator(X_136,commutator(multiply(inverse(X_136),X_264),multiply(X_264,X_264)))))]]) ).
cnf(refute_0_7683,plain,
commutator(X_136,commutator(multiply(inverse(X_136),X_264),multiply(X_264,X_264))) = identity,
inference(resolve,[$cnf( $equal(identity,commutator(X_136,commutator(multiply(inverse(X_136),X_264),multiply(X_264,X_264)))) )],[refute_0_7681,refute_0_7682]) ).
cnf(refute_0_7684,plain,
( commutator(X_136,commutator(multiply(inverse(X_136),X_264),multiply(X_264,X_264))) != identity
| commutator(commutator(multiply(inverse(X_136),X_264),multiply(X_264,X_264)),X_136) != multiply(X_136,inverse(multiply(X_136,commutator(X_136,commutator(multiply(inverse(X_136),X_264),multiply(X_264,X_264))))))
| commutator(commutator(multiply(inverse(X_136),X_264),multiply(X_264,X_264)),X_136) = multiply(X_136,inverse(multiply(X_136,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(multiply(inverse(X_136),X_264),multiply(X_264,X_264)),X_136),multiply(X_136,inverse(multiply(X_136,commutator(X_136,commutator(multiply(inverse(X_136),X_264),multiply(X_264,X_264))))))) ),[1,1,0,1],$fot(identity)]]) ).
cnf(refute_0_7685,plain,
( commutator(commutator(multiply(inverse(X_136),X_264),multiply(X_264,X_264)),X_136) != multiply(X_136,inverse(multiply(X_136,commutator(X_136,commutator(multiply(inverse(X_136),X_264),multiply(X_264,X_264))))))
| commutator(commutator(multiply(inverse(X_136),X_264),multiply(X_264,X_264)),X_136) = multiply(X_136,inverse(multiply(X_136,identity))) ),
inference(resolve,[$cnf( $equal(commutator(X_136,commutator(multiply(inverse(X_136),X_264),multiply(X_264,X_264))),identity) )],[refute_0_7683,refute_0_7684]) ).
cnf(refute_0_7686,plain,
commutator(commutator(multiply(inverse(X_136),X_264),multiply(X_264,X_264)),X_136) = multiply(X_136,inverse(multiply(X_136,identity))),
inference(resolve,[$cnf( $equal(commutator(commutator(multiply(inverse(X_136),X_264),multiply(X_264,X_264)),X_136),multiply(X_136,inverse(multiply(X_136,commutator(X_136,commutator(multiply(inverse(X_136),X_264),multiply(X_264,X_264))))))) )],[refute_0_7629,refute_0_7685]) ).
cnf(refute_0_7687,plain,
commutator(multiply(X_264,X_264),multiply(inverse(X_136),X_264)) = commutator(multiply(X_264,X_136),multiply(X_264,X_264)),
inference(subst,[],[refute_0_6394:[bind(X_10,$fot(X_136)),bind(X_171,$fot(X_264)),bind(X_172,$fot(X_264))]]) ).
cnf(refute_0_7688,plain,
commutator(X_136,commutator(multiply(X_264,X_264),multiply(inverse(X_136),X_264))) = commutator(X_136,commutator(multiply(X_264,X_264),multiply(inverse(X_136),X_264))),
introduced(tautology,[refl,[$fot(commutator(X_136,commutator(multiply(X_264,X_264),multiply(inverse(X_136),X_264))))]]) ).
cnf(refute_0_7689,plain,
( commutator(X_136,commutator(multiply(X_264,X_264),multiply(inverse(X_136),X_264))) != commutator(X_136,commutator(multiply(X_264,X_264),multiply(inverse(X_136),X_264)))
| commutator(multiply(X_264,X_264),multiply(inverse(X_136),X_264)) != commutator(multiply(X_264,X_136),multiply(X_264,X_264))
| commutator(X_136,commutator(multiply(X_264,X_264),multiply(inverse(X_136),X_264))) = commutator(X_136,commutator(multiply(X_264,X_136),multiply(X_264,X_264))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_136,commutator(multiply(X_264,X_264),multiply(inverse(X_136),X_264))),commutator(X_136,commutator(multiply(X_264,X_264),multiply(inverse(X_136),X_264)))) ),[1,1],$fot(commutator(multiply(X_264,X_136),multiply(X_264,X_264)))]]) ).
cnf(refute_0_7690,plain,
( commutator(multiply(X_264,X_264),multiply(inverse(X_136),X_264)) != commutator(multiply(X_264,X_136),multiply(X_264,X_264))
| commutator(X_136,commutator(multiply(X_264,X_264),multiply(inverse(X_136),X_264))) = commutator(X_136,commutator(multiply(X_264,X_136),multiply(X_264,X_264))) ),
inference(resolve,[$cnf( $equal(commutator(X_136,commutator(multiply(X_264,X_264),multiply(inverse(X_136),X_264))),commutator(X_136,commutator(multiply(X_264,X_264),multiply(inverse(X_136),X_264)))) )],[refute_0_7688,refute_0_7689]) ).
cnf(refute_0_7691,plain,
commutator(X_136,commutator(multiply(X_264,X_264),multiply(inverse(X_136),X_264))) = commutator(X_136,commutator(multiply(X_264,X_136),multiply(X_264,X_264))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_264,X_264),multiply(inverse(X_136),X_264)),commutator(multiply(X_264,X_136),multiply(X_264,X_264))) )],[refute_0_7687,refute_0_7690]) ).
cnf(refute_0_7692,plain,
commutator(X_160,multiply(commutator(multiply(X_262,X_262),multiply(X_162,X_262)),commutator(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))) = commutator(multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),X_160),
inference(subst,[],[refute_0_1183:[bind(X_10,$fot(commutator(multiply(X_262,X_262),multiply(X_162,X_262))))]]) ).
cnf(refute_0_7693,plain,
identity = commutator(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))),
inference(subst,[],[refute_0_7350:[bind(X_10,$fot(X_262)),bind(X_260,$fot(X_162))]]) ).
cnf(refute_0_7694,plain,
( identity != commutator(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262)))
| commutator(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))) = identity ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(identity)),bind(Y0,$fot(commutator(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262)))))]]) ).
cnf(refute_0_7695,plain,
commutator(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))) = identity,
inference(resolve,[$cnf( $equal(identity,commutator(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262)))) )],[refute_0_7693,refute_0_7694]) ).
cnf(refute_0_7696,plain,
( commutator(X_160,multiply(commutator(multiply(X_262,X_262),multiply(X_162,X_262)),commutator(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))) != commutator(multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),X_160)
| commutator(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))) != identity
| commutator(X_160,multiply(commutator(multiply(X_262,X_262),multiply(X_162,X_262)),identity)) = commutator(multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),X_160) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_160,multiply(commutator(multiply(X_262,X_262),multiply(X_162,X_262)),commutator(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),commutator(multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),X_160)) ),[0,1,1],$fot(identity)]]) ).
cnf(refute_0_7697,plain,
( commutator(X_160,multiply(commutator(multiply(X_262,X_262),multiply(X_162,X_262)),commutator(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))) != commutator(multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),X_160)
| commutator(X_160,multiply(commutator(multiply(X_262,X_262),multiply(X_162,X_262)),identity)) = commutator(multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),X_160) ),
inference(resolve,[$cnf( $equal(commutator(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))),identity) )],[refute_0_7695,refute_0_7696]) ).
cnf(refute_0_7698,plain,
commutator(X_160,multiply(commutator(multiply(X_262,X_262),multiply(X_162,X_262)),identity)) = commutator(multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),X_160),
inference(resolve,[$cnf( $equal(commutator(X_160,multiply(commutator(multiply(X_262,X_262),multiply(X_162,X_262)),commutator(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),commutator(multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),X_160)) )],[refute_0_7692,refute_0_7697]) ).
cnf(refute_0_7699,plain,
multiply(commutator(multiply(X_262,X_262),multiply(X_162,X_262)),identity) = commutator(multiply(X_262,X_262),multiply(X_162,X_262)),
inference(subst,[],[refute_0_100:[bind(X_16,$fot(commutator(multiply(X_262,X_262),multiply(X_162,X_262))))]]) ).
cnf(refute_0_7700,plain,
commutator(X_160,multiply(commutator(multiply(X_262,X_262),multiply(X_162,X_262)),identity)) = commutator(X_160,multiply(commutator(multiply(X_262,X_262),multiply(X_162,X_262)),identity)),
introduced(tautology,[refl,[$fot(commutator(X_160,multiply(commutator(multiply(X_262,X_262),multiply(X_162,X_262)),identity)))]]) ).
cnf(refute_0_7701,plain,
( multiply(commutator(multiply(X_262,X_262),multiply(X_162,X_262)),identity) != commutator(multiply(X_262,X_262),multiply(X_162,X_262))
| commutator(X_160,multiply(commutator(multiply(X_262,X_262),multiply(X_162,X_262)),identity)) != commutator(X_160,multiply(commutator(multiply(X_262,X_262),multiply(X_162,X_262)),identity))
| commutator(X_160,multiply(commutator(multiply(X_262,X_262),multiply(X_162,X_262)),identity)) = commutator(X_160,commutator(multiply(X_262,X_262),multiply(X_162,X_262))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_160,multiply(commutator(multiply(X_262,X_262),multiply(X_162,X_262)),identity)),commutator(X_160,multiply(commutator(multiply(X_262,X_262),multiply(X_162,X_262)),identity))) ),[1,1],$fot(commutator(multiply(X_262,X_262),multiply(X_162,X_262)))]]) ).
cnf(refute_0_7702,plain,
( multiply(commutator(multiply(X_262,X_262),multiply(X_162,X_262)),identity) != commutator(multiply(X_262,X_262),multiply(X_162,X_262))
| commutator(X_160,multiply(commutator(multiply(X_262,X_262),multiply(X_162,X_262)),identity)) = commutator(X_160,commutator(multiply(X_262,X_262),multiply(X_162,X_262))) ),
inference(resolve,[$cnf( $equal(commutator(X_160,multiply(commutator(multiply(X_262,X_262),multiply(X_162,X_262)),identity)),commutator(X_160,multiply(commutator(multiply(X_262,X_262),multiply(X_162,X_262)),identity))) )],[refute_0_7700,refute_0_7701]) ).
cnf(refute_0_7703,plain,
commutator(X_160,multiply(commutator(multiply(X_262,X_262),multiply(X_162,X_262)),identity)) = commutator(X_160,commutator(multiply(X_262,X_262),multiply(X_162,X_262))),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_262,X_262),multiply(X_162,X_262)),identity),commutator(multiply(X_262,X_262),multiply(X_162,X_262))) )],[refute_0_7699,refute_0_7702]) ).
cnf(refute_0_7704,plain,
( commutator(X_160,multiply(commutator(multiply(X_262,X_262),multiply(X_162,X_262)),identity)) != commutator(X_160,commutator(multiply(X_262,X_262),multiply(X_162,X_262)))
| commutator(X_160,multiply(commutator(multiply(X_262,X_262),multiply(X_162,X_262)),identity)) != commutator(multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),X_160)
| commutator(X_160,commutator(multiply(X_262,X_262),multiply(X_162,X_262))) = commutator(multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),X_160) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_160,multiply(commutator(multiply(X_262,X_262),multiply(X_162,X_262)),identity)),commutator(multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),X_160)) ),[0],$fot(commutator(X_160,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))]]) ).
cnf(refute_0_7705,plain,
( commutator(X_160,multiply(commutator(multiply(X_262,X_262),multiply(X_162,X_262)),identity)) != commutator(multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),X_160)
| commutator(X_160,commutator(multiply(X_262,X_262),multiply(X_162,X_262))) = commutator(multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),X_160) ),
inference(resolve,[$cnf( $equal(commutator(X_160,multiply(commutator(multiply(X_262,X_262),multiply(X_162,X_262)),identity)),commutator(X_160,commutator(multiply(X_262,X_262),multiply(X_162,X_262)))) )],[refute_0_7703,refute_0_7704]) ).
cnf(refute_0_7706,plain,
commutator(X_160,commutator(multiply(X_262,X_262),multiply(X_162,X_262))) = commutator(multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),X_160),
inference(resolve,[$cnf( $equal(commutator(X_160,multiply(commutator(multiply(X_262,X_262),multiply(X_162,X_262)),identity)),commutator(multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),X_160)) )],[refute_0_7698,refute_0_7705]) ).
cnf(refute_0_7707,plain,
commutator(commutator(multiply(X_162,X_262),multiply(X_262,X_262)),X_160) = commutator(multiply(X_162,X_262),commutator(multiply(X_262,X_262),X_160)),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(multiply(X_162,X_262))),bind(Y,$fot(multiply(X_262,X_262))),bind(Z,$fot(X_160))]]) ).
cnf(refute_0_7708,plain,
multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))))) = inverse(multiply(commutator(multiply(X_262,X_262),multiply(X_58,X_262)),commutator(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))))),
inference(subst,[],[refute_0_598:[bind(X_10,$fot(commutator(multiply(X_262,X_262),multiply(X_58,X_262))))]]) ).
cnf(refute_0_7709,plain,
identity = commutator(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))),
inference(subst,[],[refute_0_7350:[bind(X_10,$fot(X_262)),bind(X_260,$fot(X_58))]]) ).
cnf(refute_0_7710,plain,
( identity != commutator(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262)))
| commutator(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))) = identity ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(identity)),bind(Y0,$fot(commutator(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262)))))]]) ).
cnf(refute_0_7711,plain,
commutator(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))) = identity,
inference(resolve,[$cnf( $equal(identity,commutator(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262)))) )],[refute_0_7709,refute_0_7710]) ).
cnf(refute_0_7712,plain,
( multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))))) != inverse(multiply(commutator(multiply(X_262,X_262),multiply(X_58,X_262)),commutator(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262)))))
| commutator(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))) != identity
| multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))))) = inverse(multiply(commutator(multiply(X_262,X_262),multiply(X_58,X_262)),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))))),inverse(multiply(commutator(multiply(X_262,X_262),multiply(X_58,X_262)),commutator(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262)))))) ),[1,0,1],$fot(identity)]]) ).
cnf(refute_0_7713,plain,
( multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))))) != inverse(multiply(commutator(multiply(X_262,X_262),multiply(X_58,X_262)),commutator(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262)))))
| multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))))) = inverse(multiply(commutator(multiply(X_262,X_262),multiply(X_58,X_262)),identity)) ),
inference(resolve,[$cnf( $equal(commutator(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))),identity) )],[refute_0_7711,refute_0_7712]) ).
cnf(refute_0_7714,plain,
multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))))) = inverse(multiply(commutator(multiply(X_262,X_262),multiply(X_58,X_262)),identity)),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))))),inverse(multiply(commutator(multiply(X_262,X_262),multiply(X_58,X_262)),commutator(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262)))))) )],[refute_0_7708,refute_0_7713]) ).
cnf(refute_0_7715,plain,
inverse(commutator(multiply(X_262,X_262),multiply(X_58,X_262))) = commutator(multiply(X_58,X_262),multiply(X_262,X_262)),
inference(subst,[],[refute_0_386:[bind(X,$fot(multiply(X_58,X_262))),bind(Y,$fot(multiply(X_262,X_262)))]]) ).
cnf(refute_0_7716,plain,
multiply(commutator(multiply(X_262,X_262),multiply(X_58,X_262)),identity) = commutator(multiply(X_262,X_262),multiply(X_58,X_262)),
inference(subst,[],[refute_0_100:[bind(X_16,$fot(commutator(multiply(X_262,X_262),multiply(X_58,X_262))))]]) ).
cnf(refute_0_7717,plain,
inverse(multiply(commutator(multiply(X_262,X_262),multiply(X_58,X_262)),identity)) = inverse(multiply(commutator(multiply(X_262,X_262),multiply(X_58,X_262)),identity)),
introduced(tautology,[refl,[$fot(inverse(multiply(commutator(multiply(X_262,X_262),multiply(X_58,X_262)),identity)))]]) ).
cnf(refute_0_7718,plain,
( multiply(commutator(multiply(X_262,X_262),multiply(X_58,X_262)),identity) != commutator(multiply(X_262,X_262),multiply(X_58,X_262))
| inverse(multiply(commutator(multiply(X_262,X_262),multiply(X_58,X_262)),identity)) != inverse(multiply(commutator(multiply(X_262,X_262),multiply(X_58,X_262)),identity))
| inverse(multiply(commutator(multiply(X_262,X_262),multiply(X_58,X_262)),identity)) = inverse(commutator(multiply(X_262,X_262),multiply(X_58,X_262))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(commutator(multiply(X_262,X_262),multiply(X_58,X_262)),identity)),inverse(multiply(commutator(multiply(X_262,X_262),multiply(X_58,X_262)),identity))) ),[1,0],$fot(commutator(multiply(X_262,X_262),multiply(X_58,X_262)))]]) ).
cnf(refute_0_7719,plain,
( multiply(commutator(multiply(X_262,X_262),multiply(X_58,X_262)),identity) != commutator(multiply(X_262,X_262),multiply(X_58,X_262))
| inverse(multiply(commutator(multiply(X_262,X_262),multiply(X_58,X_262)),identity)) = inverse(commutator(multiply(X_262,X_262),multiply(X_58,X_262))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(multiply(X_262,X_262),multiply(X_58,X_262)),identity)),inverse(multiply(commutator(multiply(X_262,X_262),multiply(X_58,X_262)),identity))) )],[refute_0_7717,refute_0_7718]) ).
cnf(refute_0_7720,plain,
inverse(multiply(commutator(multiply(X_262,X_262),multiply(X_58,X_262)),identity)) = inverse(commutator(multiply(X_262,X_262),multiply(X_58,X_262))),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_262,X_262),multiply(X_58,X_262)),identity),commutator(multiply(X_262,X_262),multiply(X_58,X_262))) )],[refute_0_7716,refute_0_7719]) ).
cnf(refute_0_7721,plain,
( inverse(multiply(commutator(multiply(X_262,X_262),multiply(X_58,X_262)),identity)) != inverse(commutator(multiply(X_262,X_262),multiply(X_58,X_262)))
| inverse(commutator(multiply(X_262,X_262),multiply(X_58,X_262))) != commutator(multiply(X_58,X_262),multiply(X_262,X_262))
| inverse(multiply(commutator(multiply(X_262,X_262),multiply(X_58,X_262)),identity)) = commutator(multiply(X_58,X_262),multiply(X_262,X_262)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(commutator(multiply(X_262,X_262),multiply(X_58,X_262)),identity)))),bind(Y0,$fot(inverse(commutator(multiply(X_262,X_262),multiply(X_58,X_262))))),bind(Z0,$fot(commutator(multiply(X_58,X_262),multiply(X_262,X_262))))]]) ).
cnf(refute_0_7722,plain,
( inverse(commutator(multiply(X_262,X_262),multiply(X_58,X_262))) != commutator(multiply(X_58,X_262),multiply(X_262,X_262))
| inverse(multiply(commutator(multiply(X_262,X_262),multiply(X_58,X_262)),identity)) = commutator(multiply(X_58,X_262),multiply(X_262,X_262)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(multiply(X_262,X_262),multiply(X_58,X_262)),identity)),inverse(commutator(multiply(X_262,X_262),multiply(X_58,X_262)))) )],[refute_0_7720,refute_0_7721]) ).
cnf(refute_0_7723,plain,
inverse(multiply(commutator(multiply(X_262,X_262),multiply(X_58,X_262)),identity)) = commutator(multiply(X_58,X_262),multiply(X_262,X_262)),
inference(resolve,[$cnf( $equal(inverse(commutator(multiply(X_262,X_262),multiply(X_58,X_262))),commutator(multiply(X_58,X_262),multiply(X_262,X_262))) )],[refute_0_7715,refute_0_7722]) ).
cnf(refute_0_7724,plain,
( multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))))) != inverse(multiply(commutator(multiply(X_262,X_262),multiply(X_58,X_262)),identity))
| inverse(multiply(commutator(multiply(X_262,X_262),multiply(X_58,X_262)),identity)) != commutator(multiply(X_58,X_262),multiply(X_262,X_262))
| multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))))) = commutator(multiply(X_58,X_262),multiply(X_262,X_262)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))))),commutator(multiply(X_58,X_262),multiply(X_262,X_262))) ),[0],$fot(inverse(multiply(commutator(multiply(X_262,X_262),multiply(X_58,X_262)),identity)))]]) ).
cnf(refute_0_7725,plain,
( multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))))) != inverse(multiply(commutator(multiply(X_262,X_262),multiply(X_58,X_262)),identity))
| multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))))) = commutator(multiply(X_58,X_262),multiply(X_262,X_262)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(multiply(X_262,X_262),multiply(X_58,X_262)),identity)),commutator(multiply(X_58,X_262),multiply(X_262,X_262))) )],[refute_0_7723,refute_0_7724]) ).
cnf(refute_0_7726,plain,
multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))))) = commutator(multiply(X_58,X_262),multiply(X_262,X_262)),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))))),inverse(multiply(commutator(multiply(X_262,X_262),multiply(X_58,X_262)),identity))) )],[refute_0_7714,refute_0_7725]) ).
cnf(refute_0_7727,plain,
multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))) = commutator(multiply(X_162,X_262),multiply(X_262,X_262)),
inference(subst,[],[refute_0_7726:[bind(X_58,$fot(X_162))]]) ).
cnf(refute_0_7728,plain,
commutator(multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),X_160) = commutator(multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),X_160),
introduced(tautology,[refl,[$fot(commutator(multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),X_160))]]) ).
cnf(refute_0_7729,plain,
( multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))) != commutator(multiply(X_162,X_262),multiply(X_262,X_262))
| commutator(multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),X_160) != commutator(multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),X_160)
| commutator(multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),X_160) = commutator(commutator(multiply(X_162,X_262),multiply(X_262,X_262)),X_160) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),X_160),commutator(multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),X_160)) ),[1,0],$fot(commutator(multiply(X_162,X_262),multiply(X_262,X_262)))]]) ).
cnf(refute_0_7730,plain,
( multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))) != commutator(multiply(X_162,X_262),multiply(X_262,X_262))
| commutator(multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),X_160) = commutator(commutator(multiply(X_162,X_262),multiply(X_262,X_262)),X_160) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),X_160),commutator(multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),X_160)) )],[refute_0_7728,refute_0_7729]) ).
cnf(refute_0_7731,plain,
commutator(multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),X_160) = commutator(commutator(multiply(X_162,X_262),multiply(X_262,X_262)),X_160),
inference(resolve,[$cnf( $equal(multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),commutator(multiply(X_162,X_262),multiply(X_262,X_262))) )],[refute_0_7727,refute_0_7730]) ).
cnf(refute_0_7732,plain,
( commutator(multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),X_160) != commutator(commutator(multiply(X_162,X_262),multiply(X_262,X_262)),X_160)
| commutator(commutator(multiply(X_162,X_262),multiply(X_262,X_262)),X_160) != commutator(multiply(X_162,X_262),commutator(multiply(X_262,X_262),X_160))
| commutator(multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),X_160) = commutator(multiply(X_162,X_262),commutator(multiply(X_262,X_262),X_160)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),X_160))),bind(Y0,$fot(commutator(commutator(multiply(X_162,X_262),multiply(X_262,X_262)),X_160))),bind(Z0,$fot(commutator(multiply(X_162,X_262),commutator(multiply(X_262,X_262),X_160))))]]) ).
cnf(refute_0_7733,plain,
( commutator(commutator(multiply(X_162,X_262),multiply(X_262,X_262)),X_160) != commutator(multiply(X_162,X_262),commutator(multiply(X_262,X_262),X_160))
| commutator(multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),X_160) = commutator(multiply(X_162,X_262),commutator(multiply(X_262,X_262),X_160)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),X_160),commutator(commutator(multiply(X_162,X_262),multiply(X_262,X_262)),X_160)) )],[refute_0_7731,refute_0_7732]) ).
cnf(refute_0_7734,plain,
commutator(multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),X_160) = commutator(multiply(X_162,X_262),commutator(multiply(X_262,X_262),X_160)),
inference(resolve,[$cnf( $equal(commutator(commutator(multiply(X_162,X_262),multiply(X_262,X_262)),X_160),commutator(multiply(X_162,X_262),commutator(multiply(X_262,X_262),X_160))) )],[refute_0_7707,refute_0_7733]) ).
cnf(refute_0_7735,plain,
( commutator(X_160,commutator(multiply(X_262,X_262),multiply(X_162,X_262))) != commutator(multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),X_160)
| commutator(multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),X_160) != commutator(multiply(X_162,X_262),commutator(multiply(X_262,X_262),X_160))
| commutator(X_160,commutator(multiply(X_262,X_262),multiply(X_162,X_262))) = commutator(multiply(X_162,X_262),commutator(multiply(X_262,X_262),X_160)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(X_160,commutator(multiply(X_262,X_262),multiply(X_162,X_262))),commutator(multiply(X_162,X_262),commutator(multiply(X_262,X_262),X_160))) ),[0],$fot(commutator(multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),X_160))]]) ).
cnf(refute_0_7736,plain,
( commutator(X_160,commutator(multiply(X_262,X_262),multiply(X_162,X_262))) != commutator(multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),X_160)
| commutator(X_160,commutator(multiply(X_262,X_262),multiply(X_162,X_262))) = commutator(multiply(X_162,X_262),commutator(multiply(X_262,X_262),X_160)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),X_160),commutator(multiply(X_162,X_262),commutator(multiply(X_262,X_262),X_160))) )],[refute_0_7734,refute_0_7735]) ).
cnf(refute_0_7737,plain,
commutator(X_160,commutator(multiply(X_262,X_262),multiply(X_162,X_262))) = commutator(multiply(X_162,X_262),commutator(multiply(X_262,X_262),X_160)),
inference(resolve,[$cnf( $equal(commutator(X_160,commutator(multiply(X_262,X_262),multiply(X_162,X_262))),commutator(multiply(X_162,inverse(multiply(X_162,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),X_160)) )],[refute_0_7706,refute_0_7736]) ).
cnf(refute_0_7738,plain,
( commutator(X_160,commutator(multiply(X_262,X_262),multiply(X_162,X_262))) != commutator(multiply(X_162,X_262),commutator(multiply(X_262,X_262),X_160))
| commutator(multiply(X_162,X_262),commutator(multiply(X_262,X_262),X_160)) = commutator(X_160,commutator(multiply(X_262,X_262),multiply(X_162,X_262))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_160,commutator(multiply(X_262,X_262),multiply(X_162,X_262))))),bind(Y0,$fot(commutator(multiply(X_162,X_262),commutator(multiply(X_262,X_262),X_160))))]]) ).
cnf(refute_0_7739,plain,
commutator(multiply(X_162,X_262),commutator(multiply(X_262,X_262),X_160)) = commutator(X_160,commutator(multiply(X_262,X_262),multiply(X_162,X_262))),
inference(resolve,[$cnf( $equal(commutator(X_160,commutator(multiply(X_262,X_262),multiply(X_162,X_262))),commutator(multiply(X_162,X_262),commutator(multiply(X_262,X_262),X_160))) )],[refute_0_7737,refute_0_7738]) ).
cnf(refute_0_7740,plain,
commutator(multiply(inverse(X_136),X_264),commutator(multiply(X_264,X_264),X_136)) = commutator(X_136,commutator(multiply(X_264,X_264),multiply(inverse(X_136),X_264))),
inference(subst,[],[refute_0_7739:[bind(X_160,$fot(X_136)),bind(X_162,$fot(inverse(X_136))),bind(X_262,$fot(X_264))]]) ).
cnf(refute_0_7741,plain,
commutator(commutator(multiply(inverse(X_136),X_264),multiply(X_264,X_264)),X_136) = commutator(multiply(inverse(X_136),X_264),commutator(multiply(X_264,X_264),X_136)),
inference(subst,[],[associativity_of_commutator:[bind(X,$fot(multiply(inverse(X_136),X_264))),bind(Y,$fot(multiply(X_264,X_264))),bind(Z,$fot(X_136))]]) ).
cnf(refute_0_7742,plain,
( commutator(multiply(inverse(X_136),X_264),commutator(multiply(X_264,X_264),X_136)) != commutator(X_136,commutator(multiply(X_264,X_264),multiply(inverse(X_136),X_264)))
| commutator(commutator(multiply(inverse(X_136),X_264),multiply(X_264,X_264)),X_136) != commutator(multiply(inverse(X_136),X_264),commutator(multiply(X_264,X_264),X_136))
| commutator(commutator(multiply(inverse(X_136),X_264),multiply(X_264,X_264)),X_136) = commutator(X_136,commutator(multiply(X_264,X_264),multiply(inverse(X_136),X_264))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(commutator(multiply(inverse(X_136),X_264),multiply(X_264,X_264)),X_136))),bind(Y0,$fot(commutator(multiply(inverse(X_136),X_264),commutator(multiply(X_264,X_264),X_136)))),bind(Z0,$fot(commutator(X_136,commutator(multiply(X_264,X_264),multiply(inverse(X_136),X_264)))))]]) ).
cnf(refute_0_7743,plain,
( commutator(multiply(inverse(X_136),X_264),commutator(multiply(X_264,X_264),X_136)) != commutator(X_136,commutator(multiply(X_264,X_264),multiply(inverse(X_136),X_264)))
| commutator(commutator(multiply(inverse(X_136),X_264),multiply(X_264,X_264)),X_136) = commutator(X_136,commutator(multiply(X_264,X_264),multiply(inverse(X_136),X_264))) ),
inference(resolve,[$cnf( $equal(commutator(commutator(multiply(inverse(X_136),X_264),multiply(X_264,X_264)),X_136),commutator(multiply(inverse(X_136),X_264),commutator(multiply(X_264,X_264),X_136))) )],[refute_0_7741,refute_0_7742]) ).
cnf(refute_0_7744,plain,
commutator(commutator(multiply(inverse(X_136),X_264),multiply(X_264,X_264)),X_136) = commutator(X_136,commutator(multiply(X_264,X_264),multiply(inverse(X_136),X_264))),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_136),X_264),commutator(multiply(X_264,X_264),X_136)),commutator(X_136,commutator(multiply(X_264,X_264),multiply(inverse(X_136),X_264)))) )],[refute_0_7740,refute_0_7743]) ).
cnf(refute_0_7745,plain,
( commutator(X_136,commutator(multiply(X_264,X_264),multiply(inverse(X_136),X_264))) != commutator(X_136,commutator(multiply(X_264,X_136),multiply(X_264,X_264)))
| commutator(commutator(multiply(inverse(X_136),X_264),multiply(X_264,X_264)),X_136) != commutator(X_136,commutator(multiply(X_264,X_264),multiply(inverse(X_136),X_264)))
| commutator(commutator(multiply(inverse(X_136),X_264),multiply(X_264,X_264)),X_136) = commutator(X_136,commutator(multiply(X_264,X_136),multiply(X_264,X_264))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(commutator(multiply(inverse(X_136),X_264),multiply(X_264,X_264)),X_136))),bind(Y0,$fot(commutator(X_136,commutator(multiply(X_264,X_264),multiply(inverse(X_136),X_264))))),bind(Z0,$fot(commutator(X_136,commutator(multiply(X_264,X_136),multiply(X_264,X_264)))))]]) ).
cnf(refute_0_7746,plain,
( commutator(X_136,commutator(multiply(X_264,X_264),multiply(inverse(X_136),X_264))) != commutator(X_136,commutator(multiply(X_264,X_136),multiply(X_264,X_264)))
| commutator(commutator(multiply(inverse(X_136),X_264),multiply(X_264,X_264)),X_136) = commutator(X_136,commutator(multiply(X_264,X_136),multiply(X_264,X_264))) ),
inference(resolve,[$cnf( $equal(commutator(commutator(multiply(inverse(X_136),X_264),multiply(X_264,X_264)),X_136),commutator(X_136,commutator(multiply(X_264,X_264),multiply(inverse(X_136),X_264)))) )],[refute_0_7744,refute_0_7745]) ).
cnf(refute_0_7747,plain,
commutator(commutator(multiply(inverse(X_136),X_264),multiply(X_264,X_264)),X_136) = commutator(X_136,commutator(multiply(X_264,X_136),multiply(X_264,X_264))),
inference(resolve,[$cnf( $equal(commutator(X_136,commutator(multiply(X_264,X_264),multiply(inverse(X_136),X_264))),commutator(X_136,commutator(multiply(X_264,X_136),multiply(X_264,X_264)))) )],[refute_0_7691,refute_0_7746]) ).
cnf(refute_0_7748,plain,
( commutator(commutator(multiply(inverse(X_136),X_264),multiply(X_264,X_264)),X_136) != multiply(X_136,inverse(multiply(X_136,identity)))
| commutator(commutator(multiply(inverse(X_136),X_264),multiply(X_264,X_264)),X_136) != commutator(X_136,commutator(multiply(X_264,X_136),multiply(X_264,X_264)))
| commutator(X_136,commutator(multiply(X_264,X_136),multiply(X_264,X_264))) = multiply(X_136,inverse(multiply(X_136,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(multiply(inverse(X_136),X_264),multiply(X_264,X_264)),X_136),multiply(X_136,inverse(multiply(X_136,identity)))) ),[0],$fot(commutator(X_136,commutator(multiply(X_264,X_136),multiply(X_264,X_264))))]]) ).
cnf(refute_0_7749,plain,
( commutator(commutator(multiply(inverse(X_136),X_264),multiply(X_264,X_264)),X_136) != multiply(X_136,inverse(multiply(X_136,identity)))
| commutator(X_136,commutator(multiply(X_264,X_136),multiply(X_264,X_264))) = multiply(X_136,inverse(multiply(X_136,identity))) ),
inference(resolve,[$cnf( $equal(commutator(commutator(multiply(inverse(X_136),X_264),multiply(X_264,X_264)),X_136),commutator(X_136,commutator(multiply(X_264,X_136),multiply(X_264,X_264)))) )],[refute_0_7747,refute_0_7748]) ).
cnf(refute_0_7750,plain,
commutator(X_136,identity) = identity,
inference(subst,[],[refute_0_1868:[bind(X,$fot(X_136))]]) ).
cnf(refute_0_7751,plain,
multiply(identity,commutator(X_136,identity)) = commutator(X_136,identity),
inference(subst,[],[left_identity:[bind(X,$fot(commutator(X_136,identity)))]]) ).
cnf(refute_0_7752,plain,
( multiply(identity,commutator(X_136,identity)) != commutator(X_136,identity)
| commutator(X_136,identity) != identity
| multiply(identity,commutator(X_136,identity)) = identity ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(identity,commutator(X_136,identity)))),bind(Y0,$fot(commutator(X_136,identity))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_7753,plain,
( commutator(X_136,identity) != identity
| multiply(identity,commutator(X_136,identity)) = identity ),
inference(resolve,[$cnf( $equal(multiply(identity,commutator(X_136,identity)),commutator(X_136,identity)) )],[refute_0_7751,refute_0_7752]) ).
cnf(refute_0_7754,plain,
multiply(identity,commutator(X_136,identity)) = identity,
inference(resolve,[$cnf( $equal(commutator(X_136,identity),identity) )],[refute_0_7750,refute_0_7753]) ).
cnf(refute_0_7755,plain,
inverse(multiply(identity,commutator(X_136,identity))) = inverse(multiply(identity,commutator(X_136,identity))),
introduced(tautology,[refl,[$fot(inverse(multiply(identity,commutator(X_136,identity))))]]) ).
cnf(refute_0_7756,plain,
( multiply(identity,commutator(X_136,identity)) != identity
| inverse(multiply(identity,commutator(X_136,identity))) != inverse(multiply(identity,commutator(X_136,identity)))
| inverse(multiply(identity,commutator(X_136,identity))) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(identity,commutator(X_136,identity))),inverse(multiply(identity,commutator(X_136,identity)))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_7757,plain,
( multiply(identity,commutator(X_136,identity)) != identity
| inverse(multiply(identity,commutator(X_136,identity))) = inverse(identity) ),
inference(resolve,[$cnf( $equal(inverse(multiply(identity,commutator(X_136,identity))),inverse(multiply(identity,commutator(X_136,identity)))) )],[refute_0_7755,refute_0_7756]) ).
cnf(refute_0_7758,plain,
inverse(multiply(identity,commutator(X_136,identity))) = inverse(identity),
inference(resolve,[$cnf( $equal(multiply(identity,commutator(X_136,identity)),identity) )],[refute_0_7754,refute_0_7757]) ).
cnf(refute_0_7759,plain,
( inverse(multiply(identity,commutator(X_136,identity))) != inverse(identity)
| inverse(identity) != identity
| inverse(multiply(identity,commutator(X_136,identity))) = identity ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(identity,commutator(X_136,identity))))),bind(Y0,$fot(inverse(identity))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_7760,plain,
( inverse(identity) != identity
| inverse(multiply(identity,commutator(X_136,identity))) = identity ),
inference(resolve,[$cnf( $equal(inverse(multiply(identity,commutator(X_136,identity))),inverse(identity)) )],[refute_0_7758,refute_0_7759]) ).
cnf(refute_0_7761,plain,
inverse(multiply(identity,commutator(X_136,identity))) = identity,
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_1155,refute_0_7760]) ).
cnf(refute_0_7762,plain,
inverse(multiply(X_233,commutator(X_234,X_233))) = multiply(inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),commutator(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234)))))),
inference(subst,[],[refute_0_1097:[bind(X_128,$fot(multiply(X_233,commutator(X_234,X_233)))),bind(X_133,$fot(multiply(X_234,multiply(X_233,inverse(X_234)))))]]) ).
cnf(refute_0_7763,plain,
commutator(multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))),multiply(inverse(multiply(X_134,inverse(X_90))),inverse(X_90))) = identity,
inference(subst,[],[refute_0_4417:[bind(X_89,$fot(inverse(multiply(X_134,inverse(X_90)))))]]) ).
cnf(refute_0_7764,plain,
inverse(multiply(X_134,commutator(X_134,inverse(X_90)))) = multiply(inverse(multiply(X_134,inverse(X_90))),inverse(X_90)),
inference(subst,[],[refute_0_814:[bind(X_127,$fot(inverse(X_90))),bind(X_128,$fot(X_134))]]) ).
cnf(refute_0_7765,plain,
( inverse(multiply(X_134,commutator(X_134,inverse(X_90)))) != multiply(inverse(multiply(X_134,inverse(X_90))),inverse(X_90))
| multiply(inverse(multiply(X_134,inverse(X_90))),inverse(X_90)) = inverse(multiply(X_134,commutator(X_134,inverse(X_90)))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(inverse(multiply(X_134,commutator(X_134,inverse(X_90)))))),bind(Y0,$fot(multiply(inverse(multiply(X_134,inverse(X_90))),inverse(X_90))))]]) ).
cnf(refute_0_7766,plain,
multiply(inverse(multiply(X_134,inverse(X_90))),inverse(X_90)) = inverse(multiply(X_134,commutator(X_134,inverse(X_90)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_134,commutator(X_134,inverse(X_90)))),multiply(inverse(multiply(X_134,inverse(X_90))),inverse(X_90))) )],[refute_0_7764,refute_0_7765]) ).
cnf(refute_0_7767,plain,
( multiply(inverse(multiply(X_134,inverse(X_90))),inverse(X_90)) != inverse(multiply(X_134,commutator(X_134,inverse(X_90))))
| commutator(multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))),multiply(inverse(multiply(X_134,inverse(X_90))),inverse(X_90))) != identity
| commutator(multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))),inverse(multiply(X_134,commutator(X_134,inverse(X_90))))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))),multiply(inverse(multiply(X_134,inverse(X_90))),inverse(X_90))),identity) ),[0,1],$fot(inverse(multiply(X_134,commutator(X_134,inverse(X_90)))))]]) ).
cnf(refute_0_7768,plain,
( commutator(multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))),multiply(inverse(multiply(X_134,inverse(X_90))),inverse(X_90))) != identity
| commutator(multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))),inverse(multiply(X_134,commutator(X_134,inverse(X_90))))) = identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_134,inverse(X_90))),inverse(X_90)),inverse(multiply(X_134,commutator(X_134,inverse(X_90))))) )],[refute_0_7766,refute_0_7767]) ).
cnf(refute_0_7769,plain,
commutator(multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))),inverse(multiply(X_134,commutator(X_134,inverse(X_90))))) = identity,
inference(resolve,[$cnf( $equal(commutator(multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))),multiply(inverse(multiply(X_134,inverse(X_90))),inverse(X_90))),identity) )],[refute_0_7763,refute_0_7768]) ).
cnf(refute_0_7770,plain,
inverse(inverse(multiply(X_134,inverse(X_90)))) = multiply(X_134,inverse(X_90)),
inference(subst,[],[refute_0_152:[bind(X_27,$fot(multiply(X_134,inverse(X_90))))]]) ).
cnf(refute_0_7771,plain,
multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))) = multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))),
introduced(tautology,[refl,[$fot(multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))))]]) ).
cnf(refute_0_7772,plain,
( multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))) != multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90)))))
| inverse(inverse(multiply(X_134,inverse(X_90)))) != multiply(X_134,inverse(X_90))
| multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))) = multiply(X_90,multiply(X_134,inverse(X_90))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90)))))) ),[1,1],$fot(multiply(X_134,inverse(X_90)))]]) ).
cnf(refute_0_7773,plain,
( inverse(inverse(multiply(X_134,inverse(X_90)))) != multiply(X_134,inverse(X_90))
| multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))) = multiply(X_90,multiply(X_134,inverse(X_90))) ),
inference(resolve,[$cnf( $equal(multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90)))))) )],[refute_0_7771,refute_0_7772]) ).
cnf(refute_0_7774,plain,
multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))) = multiply(X_90,multiply(X_134,inverse(X_90))),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_134,inverse(X_90)))),multiply(X_134,inverse(X_90))) )],[refute_0_7770,refute_0_7773]) ).
cnf(refute_0_7775,plain,
commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90)))))) = commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90)))))),
introduced(tautology,[refl,[$fot(commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90)))))))]]) ).
cnf(refute_0_7776,plain,
( multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))) != multiply(X_90,multiply(X_134,inverse(X_90)))
| commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90)))))) != commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))))
| commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90)))))) = commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,multiply(X_134,inverse(X_90)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90)))))),commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))))) ),[1,1],$fot(multiply(X_90,multiply(X_134,inverse(X_90))))]]) ).
cnf(refute_0_7777,plain,
( multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))) != multiply(X_90,multiply(X_134,inverse(X_90)))
| commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90)))))) = commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,multiply(X_134,inverse(X_90)))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90)))))),commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))))) )],[refute_0_7775,refute_0_7776]) ).
cnf(refute_0_7778,plain,
commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90)))))) = commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,multiply(X_134,inverse(X_90)))),
inference(resolve,[$cnf( $equal(multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))),multiply(X_90,multiply(X_134,inverse(X_90)))) )],[refute_0_7774,refute_0_7777]) ).
cnf(refute_0_7779,plain,
commutator(X_134,inverse(X_90)) = commutator(X_90,X_134),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(X_90)),bind(X_110,$fot(X_134))]]) ).
cnf(refute_0_7780,plain,
multiply(X_134,commutator(X_134,inverse(X_90))) = multiply(X_134,commutator(X_134,inverse(X_90))),
introduced(tautology,[refl,[$fot(multiply(X_134,commutator(X_134,inverse(X_90))))]]) ).
cnf(refute_0_7781,plain,
( multiply(X_134,commutator(X_134,inverse(X_90))) != multiply(X_134,commutator(X_134,inverse(X_90)))
| commutator(X_134,inverse(X_90)) != commutator(X_90,X_134)
| multiply(X_134,commutator(X_134,inverse(X_90))) = multiply(X_134,commutator(X_90,X_134)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_134,commutator(X_134,inverse(X_90))),multiply(X_134,commutator(X_134,inverse(X_90)))) ),[1,1],$fot(commutator(X_90,X_134))]]) ).
cnf(refute_0_7782,plain,
( commutator(X_134,inverse(X_90)) != commutator(X_90,X_134)
| multiply(X_134,commutator(X_134,inverse(X_90))) = multiply(X_134,commutator(X_90,X_134)) ),
inference(resolve,[$cnf( $equal(multiply(X_134,commutator(X_134,inverse(X_90))),multiply(X_134,commutator(X_134,inverse(X_90)))) )],[refute_0_7780,refute_0_7781]) ).
cnf(refute_0_7783,plain,
multiply(X_134,commutator(X_134,inverse(X_90))) = multiply(X_134,commutator(X_90,X_134)),
inference(resolve,[$cnf( $equal(commutator(X_134,inverse(X_90)),commutator(X_90,X_134)) )],[refute_0_7779,refute_0_7782]) ).
cnf(refute_0_7784,plain,
commutator(multiply(X_134,commutator(X_134,inverse(X_90))),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90)))))) = commutator(multiply(X_134,commutator(X_134,inverse(X_90))),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90)))))),
introduced(tautology,[refl,[$fot(commutator(multiply(X_134,commutator(X_134,inverse(X_90))),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90)))))))]]) ).
cnf(refute_0_7785,plain,
( multiply(X_134,commutator(X_134,inverse(X_90))) != multiply(X_134,commutator(X_90,X_134))
| commutator(multiply(X_134,commutator(X_134,inverse(X_90))),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90)))))) != commutator(multiply(X_134,commutator(X_134,inverse(X_90))),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))))
| commutator(multiply(X_134,commutator(X_134,inverse(X_90))),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90)))))) = commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90)))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_134,commutator(X_134,inverse(X_90))),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90)))))),commutator(multiply(X_134,commutator(X_134,inverse(X_90))),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))))) ),[1,0],$fot(multiply(X_134,commutator(X_90,X_134)))]]) ).
cnf(refute_0_7786,plain,
( multiply(X_134,commutator(X_134,inverse(X_90))) != multiply(X_134,commutator(X_90,X_134))
| commutator(multiply(X_134,commutator(X_134,inverse(X_90))),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90)))))) = commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90)))))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_134,commutator(X_134,inverse(X_90))),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90)))))),commutator(multiply(X_134,commutator(X_134,inverse(X_90))),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))))) )],[refute_0_7784,refute_0_7785]) ).
cnf(refute_0_7787,plain,
commutator(multiply(X_134,commutator(X_134,inverse(X_90))),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90)))))) = commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90)))))),
inference(resolve,[$cnf( $equal(multiply(X_134,commutator(X_134,inverse(X_90))),multiply(X_134,commutator(X_90,X_134))) )],[refute_0_7783,refute_0_7786]) ).
cnf(refute_0_7788,plain,
( commutator(multiply(X_134,commutator(X_134,inverse(X_90))),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90)))))) != commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))))
| commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90)))))) != commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,multiply(X_134,inverse(X_90))))
| commutator(multiply(X_134,commutator(X_134,inverse(X_90))),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90)))))) = commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,multiply(X_134,inverse(X_90)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_134,commutator(X_134,inverse(X_90))),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90)))))))),bind(Y0,$fot(commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90)))))))),bind(Z0,$fot(commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,multiply(X_134,inverse(X_90))))))]]) ).
cnf(refute_0_7789,plain,
( commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90)))))) != commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,multiply(X_134,inverse(X_90))))
| commutator(multiply(X_134,commutator(X_134,inverse(X_90))),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90)))))) = commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,multiply(X_134,inverse(X_90)))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_134,commutator(X_134,inverse(X_90))),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90)))))),commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))))) )],[refute_0_7787,refute_0_7788]) ).
cnf(refute_0_7790,plain,
commutator(multiply(X_134,commutator(X_134,inverse(X_90))),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90)))))) = commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,multiply(X_134,inverse(X_90)))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90)))))),commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,multiply(X_134,inverse(X_90))))) )],[refute_0_7778,refute_0_7789]) ).
cnf(refute_0_7791,plain,
commutator(multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))),inverse(multiply(X_134,commutator(X_134,inverse(X_90))))) = commutator(multiply(X_134,commutator(X_134,inverse(X_90))),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90)))))),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(multiply(X_134,commutator(X_134,inverse(X_90))))),bind(X_110,$fot(multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90)))))))]]) ).
cnf(refute_0_7792,plain,
( commutator(multiply(X_134,commutator(X_134,inverse(X_90))),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90)))))) != commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,multiply(X_134,inverse(X_90))))
| commutator(multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))),inverse(multiply(X_134,commutator(X_134,inverse(X_90))))) != commutator(multiply(X_134,commutator(X_134,inverse(X_90))),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))))
| commutator(multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))),inverse(multiply(X_134,commutator(X_134,inverse(X_90))))) = commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,multiply(X_134,inverse(X_90)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))),inverse(multiply(X_134,commutator(X_134,inverse(X_90))))))),bind(Y0,$fot(commutator(multiply(X_134,commutator(X_134,inverse(X_90))),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90)))))))),bind(Z0,$fot(commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,multiply(X_134,inverse(X_90))))))]]) ).
cnf(refute_0_7793,plain,
( commutator(multiply(X_134,commutator(X_134,inverse(X_90))),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90)))))) != commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,multiply(X_134,inverse(X_90))))
| commutator(multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))),inverse(multiply(X_134,commutator(X_134,inverse(X_90))))) = commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,multiply(X_134,inverse(X_90)))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))),inverse(multiply(X_134,commutator(X_134,inverse(X_90))))),commutator(multiply(X_134,commutator(X_134,inverse(X_90))),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))))) )],[refute_0_7791,refute_0_7792]) ).
cnf(refute_0_7794,plain,
commutator(multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))),inverse(multiply(X_134,commutator(X_134,inverse(X_90))))) = commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,multiply(X_134,inverse(X_90)))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_134,commutator(X_134,inverse(X_90))),multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90)))))),commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,multiply(X_134,inverse(X_90))))) )],[refute_0_7790,refute_0_7793]) ).
cnf(refute_0_7795,plain,
( commutator(multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))),inverse(multiply(X_134,commutator(X_134,inverse(X_90))))) != commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,multiply(X_134,inverse(X_90))))
| commutator(multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))),inverse(multiply(X_134,commutator(X_134,inverse(X_90))))) != identity
| commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,multiply(X_134,inverse(X_90)))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))),inverse(multiply(X_134,commutator(X_134,inverse(X_90))))),identity) ),[0],$fot(commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,multiply(X_134,inverse(X_90)))))]]) ).
cnf(refute_0_7796,plain,
( commutator(multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))),inverse(multiply(X_134,commutator(X_134,inverse(X_90))))) != identity
| commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,multiply(X_134,inverse(X_90)))) = identity ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))),inverse(multiply(X_134,commutator(X_134,inverse(X_90))))),commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,multiply(X_134,inverse(X_90))))) )],[refute_0_7794,refute_0_7795]) ).
cnf(refute_0_7797,plain,
commutator(multiply(X_134,commutator(X_90,X_134)),multiply(X_90,multiply(X_134,inverse(X_90)))) = identity,
inference(resolve,[$cnf( $equal(commutator(multiply(X_90,inverse(inverse(multiply(X_134,inverse(X_90))))),inverse(multiply(X_134,commutator(X_134,inverse(X_90))))),identity) )],[refute_0_7769,refute_0_7796]) ).
cnf(refute_0_7798,plain,
commutator(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234)))) = identity,
inference(subst,[],[refute_0_7797:[bind(X_134,$fot(X_233)),bind(X_90,$fot(X_234))]]) ).
cnf(refute_0_7799,plain,
( commutator(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234)))) != identity
| inverse(multiply(X_233,commutator(X_234,X_233))) != multiply(inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),commutator(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))))
| inverse(multiply(X_233,commutator(X_234,X_233))) = multiply(inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_233,commutator(X_234,X_233))),multiply(inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),commutator(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))))) ),[1,1,1],$fot(identity)]]) ).
cnf(refute_0_7800,plain,
( inverse(multiply(X_233,commutator(X_234,X_233))) != multiply(inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),commutator(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))))
| inverse(multiply(X_233,commutator(X_234,X_233))) = multiply(inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234)))),identity) )],[refute_0_7798,refute_0_7799]) ).
cnf(refute_0_7801,plain,
inverse(multiply(X_233,commutator(X_234,X_233))) = multiply(inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_233,commutator(X_234,X_233))),multiply(inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),commutator(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))))) )],[refute_0_7762,refute_0_7800]) ).
cnf(refute_0_7802,plain,
multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity) = multiply(X_234,multiply(X_233,inverse(X_234))),
inference(subst,[],[refute_0_100:[bind(X_16,$fot(multiply(X_234,multiply(X_233,inverse(X_234)))))]]) ).
cnf(refute_0_7803,plain,
multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity)) = multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity)),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity)))]]) ).
cnf(refute_0_7804,plain,
( multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity) != multiply(X_234,multiply(X_233,inverse(X_234)))
| multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity)) != multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity))
| multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity)) = multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(X_234,multiply(X_233,inverse(X_234)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity)),multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity))) ),[1,1],$fot(multiply(X_234,multiply(X_233,inverse(X_234))))]]) ).
cnf(refute_0_7805,plain,
( multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity) != multiply(X_234,multiply(X_233,inverse(X_234)))
| multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity)) = multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(X_234,multiply(X_233,inverse(X_234)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity)),multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity))) )],[refute_0_7803,refute_0_7804]) ).
cnf(refute_0_7806,plain,
multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity)) = multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(X_234,multiply(X_233,inverse(X_234)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity),multiply(X_234,multiply(X_233,inverse(X_234)))) )],[refute_0_7802,refute_0_7805]) ).
cnf(refute_0_7807,plain,
multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234)))) = multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234))))),
inference(subst,[],[associativity:[bind(X,$fot(X_233)),bind(Y,$fot(commutator(X_234,X_233))),bind(Z,$fot(multiply(X_234,multiply(X_233,inverse(X_234)))))]]) ).
cnf(refute_0_7808,plain,
inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))) = inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))))]]) ).
cnf(refute_0_7809,plain,
( multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234)))) != multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))
| inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))) != inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234)))))
| inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))) = inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))),inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234)))))) ),[1,0],$fot(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234))))))]]) ).
cnf(refute_0_7810,plain,
( multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234)))) != multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))
| inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))) = inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))),inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234)))))) )],[refute_0_7808,refute_0_7809]) ).
cnf(refute_0_7811,plain,
inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))) = inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234)))),multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))) )],[refute_0_7807,refute_0_7810]) ).
cnf(refute_0_7812,plain,
multiply(inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity)) = multiply(inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity)),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity)))]]) ).
cnf(refute_0_7813,plain,
( multiply(inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity)) != multiply(inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity))
| inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))) != inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234))))))
| multiply(inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity)) = multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity)),multiply(inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity))) ),[1,0],$fot(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))))]]) ).
cnf(refute_0_7814,plain,
( inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))) != inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234))))))
| multiply(inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity)) = multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity)),multiply(inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity))) )],[refute_0_7812,refute_0_7813]) ).
cnf(refute_0_7815,plain,
multiply(inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity)) = multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))),inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234))))))) )],[refute_0_7811,refute_0_7814]) ).
cnf(refute_0_7816,plain,
( multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity)) != multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(X_234,multiply(X_233,inverse(X_234))))
| multiply(inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity)) != multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity))
| multiply(inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity)) = multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(X_234,multiply(X_233,inverse(X_234)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity)))),bind(Y0,$fot(multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity)))),bind(Z0,$fot(multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(X_234,multiply(X_233,inverse(X_234))))))]]) ).
cnf(refute_0_7817,plain,
( multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity)) != multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(X_234,multiply(X_233,inverse(X_234))))
| multiply(inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity)) = multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(X_234,multiply(X_233,inverse(X_234)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity)),multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity))) )],[refute_0_7815,refute_0_7816]) ).
cnf(refute_0_7818,plain,
multiply(inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity)) = multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(X_234,multiply(X_233,inverse(X_234)))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity)),multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(X_234,multiply(X_233,inverse(X_234))))) )],[refute_0_7806,refute_0_7817]) ).
cnf(refute_0_7819,plain,
( multiply(inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity)) != multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(X_234,multiply(X_233,inverse(X_234))))
| inverse(multiply(X_233,commutator(X_234,X_233))) != multiply(inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity))
| inverse(multiply(X_233,commutator(X_234,X_233))) = multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(X_234,multiply(X_233,inverse(X_234)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_233,commutator(X_234,X_233))),multiply(inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity))) ),[1],$fot(multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(X_234,multiply(X_233,inverse(X_234)))))]]) ).
cnf(refute_0_7820,plain,
( inverse(multiply(X_233,commutator(X_234,X_233))) != multiply(inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity))
| inverse(multiply(X_233,commutator(X_234,X_233))) = multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(X_234,multiply(X_233,inverse(X_234)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity)),multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(X_234,multiply(X_233,inverse(X_234))))) )],[refute_0_7818,refute_0_7819]) ).
cnf(refute_0_7821,plain,
inverse(multiply(X_233,commutator(X_234,X_233))) = multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(X_234,multiply(X_233,inverse(X_234)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_233,commutator(X_234,X_233))),multiply(inverse(multiply(multiply(X_233,commutator(X_234,X_233)),multiply(X_234,multiply(X_233,inverse(X_234))))),multiply(multiply(X_234,multiply(X_233,inverse(X_234))),identity))) )],[refute_0_7801,refute_0_7820]) ).
cnf(refute_0_7822,plain,
inverse(multiply(X_234,multiply(X_233,inverse(X_234)))) = multiply(X_234,inverse(multiply(X_234,X_233))),
inference(subst,[],[refute_0_860:[bind(X_58,$fot(X_234)),bind(X_89,$fot(X_234)),bind(X_90,$fot(X_233))]]) ).
cnf(refute_0_7823,plain,
multiply(commutator(X_233,X_234),multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234))))) = multiply(X_234,multiply(X_233,inverse(X_234))),
inference(subst,[],[refute_0_3657:[bind(Z,$fot(multiply(X_234,multiply(X_233,inverse(X_234))))),bind(X_65,$fot(X_234)),bind(X_66,$fot(X_233))]]) ).
cnf(refute_0_7824,plain,
inverse(multiply(commutator(X_233,X_234),multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))) = inverse(multiply(commutator(X_233,X_234),multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),
introduced(tautology,[refl,[$fot(inverse(multiply(commutator(X_233,X_234),multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))))]]) ).
cnf(refute_0_7825,plain,
( multiply(commutator(X_233,X_234),multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234))))) != multiply(X_234,multiply(X_233,inverse(X_234)))
| inverse(multiply(commutator(X_233,X_234),multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))) != inverse(multiply(commutator(X_233,X_234),multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234))))))
| inverse(multiply(commutator(X_233,X_234),multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))) = inverse(multiply(X_234,multiply(X_233,inverse(X_234)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(commutator(X_233,X_234),multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),inverse(multiply(commutator(X_233,X_234),multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234))))))) ),[1,0],$fot(multiply(X_234,multiply(X_233,inverse(X_234))))]]) ).
cnf(refute_0_7826,plain,
( multiply(commutator(X_233,X_234),multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234))))) != multiply(X_234,multiply(X_233,inverse(X_234)))
| inverse(multiply(commutator(X_233,X_234),multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))) = inverse(multiply(X_234,multiply(X_233,inverse(X_234)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_233,X_234),multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),inverse(multiply(commutator(X_233,X_234),multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234))))))) )],[refute_0_7824,refute_0_7825]) ).
cnf(refute_0_7827,plain,
inverse(multiply(commutator(X_233,X_234),multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))) = inverse(multiply(X_234,multiply(X_233,inverse(X_234)))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_233,X_234),multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234))))),multiply(X_234,multiply(X_233,inverse(X_234)))) )],[refute_0_7823,refute_0_7826]) ).
cnf(refute_0_7828,plain,
( inverse(multiply(X_234,multiply(X_233,inverse(X_234)))) != multiply(X_234,inverse(multiply(X_234,X_233)))
| inverse(multiply(commutator(X_233,X_234),multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))) != inverse(multiply(X_234,multiply(X_233,inverse(X_234))))
| inverse(multiply(commutator(X_233,X_234),multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))) = multiply(X_234,inverse(multiply(X_234,X_233))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(commutator(X_233,X_234),multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))))),bind(Y0,$fot(inverse(multiply(X_234,multiply(X_233,inverse(X_234)))))),bind(Z0,$fot(multiply(X_234,inverse(multiply(X_234,X_233)))))]]) ).
cnf(refute_0_7829,plain,
( inverse(multiply(X_234,multiply(X_233,inverse(X_234)))) != multiply(X_234,inverse(multiply(X_234,X_233)))
| inverse(multiply(commutator(X_233,X_234),multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))) = multiply(X_234,inverse(multiply(X_234,X_233))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_233,X_234),multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),inverse(multiply(X_234,multiply(X_233,inverse(X_234))))) )],[refute_0_7827,refute_0_7828]) ).
cnf(refute_0_7830,plain,
inverse(multiply(commutator(X_233,X_234),multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))) = multiply(X_234,inverse(multiply(X_234,X_233))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_234,multiply(X_233,inverse(X_234)))),multiply(X_234,inverse(multiply(X_234,X_233)))) )],[refute_0_7822,refute_0_7829]) ).
cnf(refute_0_7831,plain,
multiply(inverse(X_237),commutator(X_90,X_236)) = multiply(inverse(multiply(X_236,X_237)),multiply(X_236,commutator(X_90,X_236))),
inference(subst,[],[refute_0_677:[bind(Z,$fot(commutator(X_90,X_236))),bind(X_50,$fot(X_236)),bind(X_51,$fot(X_237))]]) ).
cnf(refute_0_7832,plain,
multiply(X_90,multiply(X_236,inverse(X_90))) = multiply(X_236,commutator(X_90,X_236)),
inference(subst,[],[refute_0_933:[bind(X_10,$fot(X_236))]]) ).
cnf(refute_0_7833,plain,
( multiply(X_90,multiply(X_236,inverse(X_90))) != multiply(X_236,commutator(X_90,X_236))
| multiply(X_236,commutator(X_90,X_236)) = multiply(X_90,multiply(X_236,inverse(X_90))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(X_90,multiply(X_236,inverse(X_90))))),bind(Y0,$fot(multiply(X_236,commutator(X_90,X_236))))]]) ).
cnf(refute_0_7834,plain,
multiply(X_236,commutator(X_90,X_236)) = multiply(X_90,multiply(X_236,inverse(X_90))),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(X_236,inverse(X_90))),multiply(X_236,commutator(X_90,X_236))) )],[refute_0_7832,refute_0_7833]) ).
cnf(refute_0_7835,plain,
( multiply(X_236,commutator(X_90,X_236)) != multiply(X_90,multiply(X_236,inverse(X_90)))
| multiply(inverse(X_237),commutator(X_90,X_236)) != multiply(inverse(multiply(X_236,X_237)),multiply(X_236,commutator(X_90,X_236)))
| multiply(inverse(X_237),commutator(X_90,X_236)) = multiply(inverse(multiply(X_236,X_237)),multiply(X_90,multiply(X_236,inverse(X_90)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_237),commutator(X_90,X_236)),multiply(inverse(multiply(X_236,X_237)),multiply(X_236,commutator(X_90,X_236)))) ),[1,1],$fot(multiply(X_90,multiply(X_236,inverse(X_90))))]]) ).
cnf(refute_0_7836,plain,
( multiply(inverse(X_237),commutator(X_90,X_236)) != multiply(inverse(multiply(X_236,X_237)),multiply(X_236,commutator(X_90,X_236)))
| multiply(inverse(X_237),commutator(X_90,X_236)) = multiply(inverse(multiply(X_236,X_237)),multiply(X_90,multiply(X_236,inverse(X_90)))) ),
inference(resolve,[$cnf( $equal(multiply(X_236,commutator(X_90,X_236)),multiply(X_90,multiply(X_236,inverse(X_90)))) )],[refute_0_7834,refute_0_7835]) ).
cnf(refute_0_7837,plain,
multiply(inverse(X_237),commutator(X_90,X_236)) = multiply(inverse(multiply(X_236,X_237)),multiply(X_90,multiply(X_236,inverse(X_90)))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_237),commutator(X_90,X_236)),multiply(inverse(multiply(X_236,X_237)),multiply(X_236,commutator(X_90,X_236)))) )],[refute_0_7831,refute_0_7836]) ).
cnf(refute_0_7838,plain,
multiply(inverse(X_237),commutator(X_90,X_236)) = inverse(multiply(commutator(X_236,X_90),X_237)),
inference(subst,[],[refute_0_331:[bind(X_10,$fot(X_237)),bind(X_65,$fot(X_90)),bind(X_66,$fot(X_236))]]) ).
cnf(refute_0_7839,plain,
( multiply(inverse(X_237),commutator(X_90,X_236)) != multiply(inverse(multiply(X_236,X_237)),multiply(X_90,multiply(X_236,inverse(X_90))))
| multiply(inverse(X_237),commutator(X_90,X_236)) != inverse(multiply(commutator(X_236,X_90),X_237))
| inverse(multiply(commutator(X_236,X_90),X_237)) = multiply(inverse(multiply(X_236,X_237)),multiply(X_90,multiply(X_236,inverse(X_90)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_237),commutator(X_90,X_236)),multiply(inverse(multiply(X_236,X_237)),multiply(X_90,multiply(X_236,inverse(X_90))))) ),[0],$fot(inverse(multiply(commutator(X_236,X_90),X_237)))]]) ).
cnf(refute_0_7840,plain,
( multiply(inverse(X_237),commutator(X_90,X_236)) != multiply(inverse(multiply(X_236,X_237)),multiply(X_90,multiply(X_236,inverse(X_90))))
| inverse(multiply(commutator(X_236,X_90),X_237)) = multiply(inverse(multiply(X_236,X_237)),multiply(X_90,multiply(X_236,inverse(X_90)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_237),commutator(X_90,X_236)),inverse(multiply(commutator(X_236,X_90),X_237))) )],[refute_0_7838,refute_0_7839]) ).
cnf(refute_0_7841,plain,
inverse(multiply(commutator(X_236,X_90),X_237)) = multiply(inverse(multiply(X_236,X_237)),multiply(X_90,multiply(X_236,inverse(X_90)))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_237),commutator(X_90,X_236)),multiply(inverse(multiply(X_236,X_237)),multiply(X_90,multiply(X_236,inverse(X_90))))) )],[refute_0_7837,refute_0_7840]) ).
cnf(refute_0_7842,plain,
( inverse(multiply(commutator(X_236,X_90),X_237)) != multiply(inverse(multiply(X_236,X_237)),multiply(X_90,multiply(X_236,inverse(X_90))))
| multiply(inverse(multiply(X_236,X_237)),multiply(X_90,multiply(X_236,inverse(X_90)))) = inverse(multiply(commutator(X_236,X_90),X_237)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(inverse(multiply(commutator(X_236,X_90),X_237)))),bind(Y0,$fot(multiply(inverse(multiply(X_236,X_237)),multiply(X_90,multiply(X_236,inverse(X_90))))))]]) ).
cnf(refute_0_7843,plain,
multiply(inverse(multiply(X_236,X_237)),multiply(X_90,multiply(X_236,inverse(X_90)))) = inverse(multiply(commutator(X_236,X_90),X_237)),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_236,X_90),X_237)),multiply(inverse(multiply(X_236,X_237)),multiply(X_90,multiply(X_236,inverse(X_90))))) )],[refute_0_7841,refute_0_7842]) ).
cnf(refute_0_7844,plain,
multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(X_234,multiply(X_233,inverse(X_234)))) = inverse(multiply(commutator(X_233,X_234),multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),
inference(subst,[],[refute_0_7843:[bind(X_236,$fot(X_233)),bind(X_237,$fot(multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),bind(X_90,$fot(X_234))]]) ).
cnf(refute_0_7845,plain,
( multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(X_234,multiply(X_233,inverse(X_234)))) != inverse(multiply(commutator(X_233,X_234),multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234))))))
| inverse(multiply(commutator(X_233,X_234),multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))) != multiply(X_234,inverse(multiply(X_234,X_233)))
| multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(X_234,multiply(X_233,inverse(X_234)))) = multiply(X_234,inverse(multiply(X_234,X_233))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(X_234,multiply(X_233,inverse(X_234)))))),bind(Y0,$fot(inverse(multiply(commutator(X_233,X_234),multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))))),bind(Z0,$fot(multiply(X_234,inverse(multiply(X_234,X_233)))))]]) ).
cnf(refute_0_7846,plain,
( inverse(multiply(commutator(X_233,X_234),multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))) != multiply(X_234,inverse(multiply(X_234,X_233)))
| multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(X_234,multiply(X_233,inverse(X_234)))) = multiply(X_234,inverse(multiply(X_234,X_233))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(X_234,multiply(X_233,inverse(X_234)))),inverse(multiply(commutator(X_233,X_234),multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234))))))) )],[refute_0_7844,refute_0_7845]) ).
cnf(refute_0_7847,plain,
multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(X_234,multiply(X_233,inverse(X_234)))) = multiply(X_234,inverse(multiply(X_234,X_233))),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_233,X_234),multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(X_234,inverse(multiply(X_234,X_233)))) )],[refute_0_7830,refute_0_7846]) ).
cnf(refute_0_7848,plain,
( multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(X_234,multiply(X_233,inverse(X_234)))) != multiply(X_234,inverse(multiply(X_234,X_233)))
| inverse(multiply(X_233,commutator(X_234,X_233))) != multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(X_234,multiply(X_233,inverse(X_234))))
| inverse(multiply(X_233,commutator(X_234,X_233))) = multiply(X_234,inverse(multiply(X_234,X_233))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_233,commutator(X_234,X_233))),multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(X_234,multiply(X_233,inverse(X_234))))) ),[1],$fot(multiply(X_234,inverse(multiply(X_234,X_233))))]]) ).
cnf(refute_0_7849,plain,
( inverse(multiply(X_233,commutator(X_234,X_233))) != multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(X_234,multiply(X_233,inverse(X_234))))
| inverse(multiply(X_233,commutator(X_234,X_233))) = multiply(X_234,inverse(multiply(X_234,X_233))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(X_234,multiply(X_233,inverse(X_234)))),multiply(X_234,inverse(multiply(X_234,X_233)))) )],[refute_0_7847,refute_0_7848]) ).
cnf(refute_0_7850,plain,
inverse(multiply(X_233,commutator(X_234,X_233))) = multiply(X_234,inverse(multiply(X_234,X_233))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_233,commutator(X_234,X_233))),multiply(inverse(multiply(X_233,multiply(commutator(X_234,X_233),multiply(X_234,multiply(X_233,inverse(X_234)))))),multiply(X_234,multiply(X_233,inverse(X_234))))) )],[refute_0_7821,refute_0_7849]) ).
cnf(refute_0_7851,plain,
( inverse(multiply(X_233,commutator(X_234,X_233))) != multiply(X_234,inverse(multiply(X_234,X_233)))
| multiply(X_234,inverse(multiply(X_234,X_233))) = inverse(multiply(X_233,commutator(X_234,X_233))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(inverse(multiply(X_233,commutator(X_234,X_233))))),bind(Y0,$fot(multiply(X_234,inverse(multiply(X_234,X_233)))))]]) ).
cnf(refute_0_7852,plain,
multiply(X_234,inverse(multiply(X_234,X_233))) = inverse(multiply(X_233,commutator(X_234,X_233))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_233,commutator(X_234,X_233))),multiply(X_234,inverse(multiply(X_234,X_233)))) )],[refute_0_7850,refute_0_7851]) ).
cnf(refute_0_7853,plain,
multiply(X_136,inverse(multiply(X_136,identity))) = inverse(multiply(identity,commutator(X_136,identity))),
inference(subst,[],[refute_0_7852:[bind(X_233,$fot(identity)),bind(X_234,$fot(X_136))]]) ).
cnf(refute_0_7854,plain,
( multiply(X_136,inverse(multiply(X_136,identity))) != inverse(multiply(identity,commutator(X_136,identity)))
| inverse(multiply(identity,commutator(X_136,identity))) != identity
| multiply(X_136,inverse(multiply(X_136,identity))) = identity ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_136,inverse(multiply(X_136,identity))))),bind(Y0,$fot(inverse(multiply(identity,commutator(X_136,identity))))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_7855,plain,
( inverse(multiply(identity,commutator(X_136,identity))) != identity
| multiply(X_136,inverse(multiply(X_136,identity))) = identity ),
inference(resolve,[$cnf( $equal(multiply(X_136,inverse(multiply(X_136,identity))),inverse(multiply(identity,commutator(X_136,identity)))) )],[refute_0_7853,refute_0_7854]) ).
cnf(refute_0_7856,plain,
multiply(X_136,inverse(multiply(X_136,identity))) = identity,
inference(resolve,[$cnf( $equal(inverse(multiply(identity,commutator(X_136,identity))),identity) )],[refute_0_7761,refute_0_7855]) ).
cnf(refute_0_7857,plain,
( multiply(X_136,inverse(multiply(X_136,identity))) != identity
| commutator(X_136,commutator(multiply(X_264,X_136),multiply(X_264,X_264))) != multiply(X_136,inverse(multiply(X_136,identity)))
| commutator(X_136,commutator(multiply(X_264,X_136),multiply(X_264,X_264))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_136,commutator(multiply(X_264,X_136),multiply(X_264,X_264))),multiply(X_136,inverse(multiply(X_136,identity)))) ),[1],$fot(identity)]]) ).
cnf(refute_0_7858,plain,
( commutator(X_136,commutator(multiply(X_264,X_136),multiply(X_264,X_264))) != multiply(X_136,inverse(multiply(X_136,identity)))
| commutator(X_136,commutator(multiply(X_264,X_136),multiply(X_264,X_264))) = identity ),
inference(resolve,[$cnf( $equal(multiply(X_136,inverse(multiply(X_136,identity))),identity) )],[refute_0_7856,refute_0_7857]) ).
cnf(refute_0_7859,plain,
( commutator(commutator(multiply(inverse(X_136),X_264),multiply(X_264,X_264)),X_136) != multiply(X_136,inverse(multiply(X_136,identity)))
| commutator(X_136,commutator(multiply(X_264,X_136),multiply(X_264,X_264))) = identity ),
inference(resolve,[$cnf( $equal(commutator(X_136,commutator(multiply(X_264,X_136),multiply(X_264,X_264))),multiply(X_136,inverse(multiply(X_136,identity)))) )],[refute_0_7749,refute_0_7858]) ).
cnf(refute_0_7860,plain,
commutator(X_136,commutator(multiply(X_264,X_136),multiply(X_264,X_264))) = identity,
inference(resolve,[$cnf( $equal(commutator(commutator(multiply(inverse(X_136),X_264),multiply(X_264,X_264)),X_136),multiply(X_136,inverse(multiply(X_136,identity)))) )],[refute_0_7686,refute_0_7859]) ).
cnf(refute_0_7861,plain,
commutator(X_90,commutator(multiply(X_267,X_90),multiply(X_267,X_267))) = identity,
inference(subst,[],[refute_0_7860:[bind(X_136,$fot(X_90)),bind(X_264,$fot(X_267))]]) ).
cnf(refute_0_7862,plain,
( multiply(X_90,multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),inverse(X_90))) != multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),commutator(X_90,commutator(multiply(X_267,X_90),multiply(X_267,X_267))))
| commutator(X_90,commutator(multiply(X_267,X_90),multiply(X_267,X_267))) != identity
| multiply(X_90,multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),inverse(X_90))) = multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_90,multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),inverse(X_90))),multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),commutator(X_90,commutator(multiply(X_267,X_90),multiply(X_267,X_267))))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_7863,plain,
( multiply(X_90,multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),inverse(X_90))) != multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),commutator(X_90,commutator(multiply(X_267,X_90),multiply(X_267,X_267))))
| multiply(X_90,multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),inverse(X_90))) = multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),identity) ),
inference(resolve,[$cnf( $equal(commutator(X_90,commutator(multiply(X_267,X_90),multiply(X_267,X_267))),identity) )],[refute_0_7861,refute_0_7862]) ).
cnf(refute_0_7864,plain,
multiply(X_90,multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),inverse(X_90))) = multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),identity),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),inverse(X_90))),multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),commutator(X_90,commutator(multiply(X_267,X_90),multiply(X_267,X_267))))) )],[refute_0_7628,refute_0_7863]) ).
cnf(refute_0_7865,plain,
multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),inverse(X_90)) = inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90)))),
inference(subst,[],[refute_0_378:[bind(X_58,$fot(X_90)),bind(X_65,$fot(multiply(X_267,X_90))),bind(X_66,$fot(multiply(X_267,X_267)))]]) ).
cnf(refute_0_7866,plain,
multiply(X_90,multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),inverse(X_90))) = multiply(X_90,multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),inverse(X_90))),
introduced(tautology,[refl,[$fot(multiply(X_90,multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),inverse(X_90))))]]) ).
cnf(refute_0_7867,plain,
( multiply(X_90,multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),inverse(X_90))) != multiply(X_90,multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),inverse(X_90)))
| multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),inverse(X_90)) != inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))))
| multiply(X_90,multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),inverse(X_90))) = multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_90,multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),inverse(X_90))),multiply(X_90,multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),inverse(X_90)))) ),[1,1],$fot(inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90)))))]]) ).
cnf(refute_0_7868,plain,
( multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),inverse(X_90)) != inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))))
| multiply(X_90,multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),inverse(X_90))) = multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))))) ),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),inverse(X_90))),multiply(X_90,multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),inverse(X_90)))) )],[refute_0_7866,refute_0_7867]) ).
cnf(refute_0_7869,plain,
multiply(X_90,multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),inverse(X_90))) = multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))))),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),inverse(X_90)),inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))))) )],[refute_0_7865,refute_0_7868]) ).
cnf(refute_0_7870,plain,
( multiply(X_90,multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),inverse(X_90))) != multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90)))))
| multiply(X_90,multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),inverse(X_90))) != multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),identity)
| multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))))) = multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_90,multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),inverse(X_90))),multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),identity)) ),[0],$fot(multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))))))]]) ).
cnf(refute_0_7871,plain,
( multiply(X_90,multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),inverse(X_90))) != multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),identity)
| multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))))) = multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),identity) ),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),inverse(X_90))),multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90)))))) )],[refute_0_7869,refute_0_7870]) ).
cnf(refute_0_7872,plain,
multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),identity) = commutator(multiply(X_267,X_90),multiply(X_267,X_267)),
inference(subst,[],[refute_0_100:[bind(X_16,$fot(commutator(multiply(X_267,X_90),multiply(X_267,X_267))))]]) ).
cnf(refute_0_7873,plain,
( multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))))) != multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),identity)
| multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),identity) != commutator(multiply(X_267,X_90),multiply(X_267,X_267))
| multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))))) = commutator(multiply(X_267,X_90),multiply(X_267,X_267)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))))),commutator(multiply(X_267,X_90),multiply(X_267,X_267))) ),[0],$fot(multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),identity))]]) ).
cnf(refute_0_7874,plain,
( multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))))) != multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),identity)
| multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))))) = commutator(multiply(X_267,X_90),multiply(X_267,X_267)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),identity),commutator(multiply(X_267,X_90),multiply(X_267,X_267))) )],[refute_0_7872,refute_0_7873]) ).
cnf(refute_0_7875,plain,
( multiply(X_90,multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),inverse(X_90))) != multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),identity)
| multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))))) = commutator(multiply(X_267,X_90),multiply(X_267,X_267)) ),
inference(resolve,[$cnf( $equal(multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))))),multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),identity)) )],[refute_0_7871,refute_0_7874]) ).
cnf(refute_0_7876,plain,
multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))))) = commutator(multiply(X_267,X_90),multiply(X_267,X_267)),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),inverse(X_90))),multiply(commutator(multiply(X_267,X_90),multiply(X_267,X_267)),identity)) )],[refute_0_7864,refute_0_7875]) ).
cnf(refute_0_7877,plain,
multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),X_90)))) = commutator(X_90,multiply(X_267,X_267)),
inference(subst,[],[refute_0_1329:[bind(X_136,$fot(multiply(X_267,X_267))),bind(X_58,$fot(X_90))]]) ).
cnf(refute_0_7878,plain,
multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_267,X_58),multiply(X_267,X_267))))) = inverse(multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),commutator(X_58,commutator(multiply(X_267,X_58),multiply(X_267,X_267))))),
inference(subst,[],[refute_0_598:[bind(X_10,$fot(commutator(multiply(X_267,X_58),multiply(X_267,X_267))))]]) ).
cnf(refute_0_7879,plain,
commutator(X_58,commutator(multiply(X_267,X_58),multiply(X_267,X_267))) = identity,
inference(subst,[],[refute_0_7860:[bind(X_136,$fot(X_58)),bind(X_264,$fot(X_267))]]) ).
cnf(refute_0_7880,plain,
( multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_267,X_58),multiply(X_267,X_267))))) != inverse(multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),commutator(X_58,commutator(multiply(X_267,X_58),multiply(X_267,X_267)))))
| commutator(X_58,commutator(multiply(X_267,X_58),multiply(X_267,X_267))) != identity
| multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_267,X_58),multiply(X_267,X_267))))) = inverse(multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_267,X_58),multiply(X_267,X_267))))),inverse(multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),commutator(X_58,commutator(multiply(X_267,X_58),multiply(X_267,X_267)))))) ),[1,0,1],$fot(identity)]]) ).
cnf(refute_0_7881,plain,
( multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_267,X_58),multiply(X_267,X_267))))) != inverse(multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),commutator(X_58,commutator(multiply(X_267,X_58),multiply(X_267,X_267)))))
| multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_267,X_58),multiply(X_267,X_267))))) = inverse(multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),identity)) ),
inference(resolve,[$cnf( $equal(commutator(X_58,commutator(multiply(X_267,X_58),multiply(X_267,X_267))),identity) )],[refute_0_7879,refute_0_7880]) ).
cnf(refute_0_7882,plain,
multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_267,X_58),multiply(X_267,X_267))))) = inverse(multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),identity)),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_267,X_58),multiply(X_267,X_267))))),inverse(multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),commutator(X_58,commutator(multiply(X_267,X_58),multiply(X_267,X_267)))))) )],[refute_0_7878,refute_0_7881]) ).
cnf(refute_0_7883,plain,
multiply(X_90,multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),inverse(X_90))) = multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),commutator(X_90,commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)))),
inference(subst,[],[refute_0_933:[bind(X_10,$fot(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264))))]]) ).
cnf(refute_0_7884,plain,
identity = commutator(X_90,commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264))),
inference(subst,[],[refute_0_7680:[bind(Z,$fot(X_264)),bind(X_261,$fot(X_90))]]) ).
cnf(refute_0_7885,plain,
( identity != commutator(X_90,commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)))
| commutator(X_90,commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264))) = identity ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(identity)),bind(Y0,$fot(commutator(X_90,commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)))))]]) ).
cnf(refute_0_7886,plain,
commutator(X_90,commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264))) = identity,
inference(resolve,[$cnf( $equal(identity,commutator(X_90,commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)))) )],[refute_0_7884,refute_0_7885]) ).
cnf(refute_0_7887,plain,
( multiply(X_90,multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),inverse(X_90))) != multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),commutator(X_90,commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264))))
| commutator(X_90,commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264))) != identity
| multiply(X_90,multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),inverse(X_90))) = multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_90,multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),inverse(X_90))),multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),commutator(X_90,commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264))))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_7888,plain,
( multiply(X_90,multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),inverse(X_90))) != multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),commutator(X_90,commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264))))
| multiply(X_90,multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),inverse(X_90))) = multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),identity) ),
inference(resolve,[$cnf( $equal(commutator(X_90,commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264))),identity) )],[refute_0_7886,refute_0_7887]) ).
cnf(refute_0_7889,plain,
multiply(X_90,multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),inverse(X_90))) = multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),identity),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),inverse(X_90))),multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),commutator(X_90,commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264))))) )],[refute_0_7883,refute_0_7888]) ).
cnf(refute_0_7890,plain,
commutator(multiply(X_264,X_264),multiply(inverse(X_90),X_264)) = commutator(multiply(X_264,X_90),multiply(X_264,X_264)),
inference(subst,[],[refute_0_6394:[bind(X_10,$fot(X_90)),bind(X_171,$fot(X_264)),bind(X_172,$fot(X_264))]]) ).
cnf(refute_0_7891,plain,
multiply(X_90,commutator(multiply(X_264,X_264),multiply(inverse(X_90),X_264))) = multiply(X_90,commutator(multiply(X_264,X_264),multiply(inverse(X_90),X_264))),
introduced(tautology,[refl,[$fot(multiply(X_90,commutator(multiply(X_264,X_264),multiply(inverse(X_90),X_264))))]]) ).
cnf(refute_0_7892,plain,
( multiply(X_90,commutator(multiply(X_264,X_264),multiply(inverse(X_90),X_264))) != multiply(X_90,commutator(multiply(X_264,X_264),multiply(inverse(X_90),X_264)))
| commutator(multiply(X_264,X_264),multiply(inverse(X_90),X_264)) != commutator(multiply(X_264,X_90),multiply(X_264,X_264))
| multiply(X_90,commutator(multiply(X_264,X_264),multiply(inverse(X_90),X_264))) = multiply(X_90,commutator(multiply(X_264,X_90),multiply(X_264,X_264))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_90,commutator(multiply(X_264,X_264),multiply(inverse(X_90),X_264))),multiply(X_90,commutator(multiply(X_264,X_264),multiply(inverse(X_90),X_264)))) ),[1,1],$fot(commutator(multiply(X_264,X_90),multiply(X_264,X_264)))]]) ).
cnf(refute_0_7893,plain,
( commutator(multiply(X_264,X_264),multiply(inverse(X_90),X_264)) != commutator(multiply(X_264,X_90),multiply(X_264,X_264))
| multiply(X_90,commutator(multiply(X_264,X_264),multiply(inverse(X_90),X_264))) = multiply(X_90,commutator(multiply(X_264,X_90),multiply(X_264,X_264))) ),
inference(resolve,[$cnf( $equal(multiply(X_90,commutator(multiply(X_264,X_264),multiply(inverse(X_90),X_264))),multiply(X_90,commutator(multiply(X_264,X_264),multiply(inverse(X_90),X_264)))) )],[refute_0_7891,refute_0_7892]) ).
cnf(refute_0_7894,plain,
multiply(X_90,commutator(multiply(X_264,X_264),multiply(inverse(X_90),X_264))) = multiply(X_90,commutator(multiply(X_264,X_90),multiply(X_264,X_264))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_264,X_264),multiply(inverse(X_90),X_264)),commutator(multiply(X_264,X_90),multiply(X_264,X_264))) )],[refute_0_7890,refute_0_7893]) ).
cnf(refute_0_7895,plain,
inverse(multiply(X_90,commutator(multiply(X_264,X_264),multiply(inverse(X_90),X_264)))) = inverse(multiply(X_90,commutator(multiply(X_264,X_264),multiply(inverse(X_90),X_264)))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_90,commutator(multiply(X_264,X_264),multiply(inverse(X_90),X_264)))))]]) ).
cnf(refute_0_7896,plain,
( multiply(X_90,commutator(multiply(X_264,X_264),multiply(inverse(X_90),X_264))) != multiply(X_90,commutator(multiply(X_264,X_90),multiply(X_264,X_264)))
| inverse(multiply(X_90,commutator(multiply(X_264,X_264),multiply(inverse(X_90),X_264)))) != inverse(multiply(X_90,commutator(multiply(X_264,X_264),multiply(inverse(X_90),X_264))))
| inverse(multiply(X_90,commutator(multiply(X_264,X_264),multiply(inverse(X_90),X_264)))) = inverse(multiply(X_90,commutator(multiply(X_264,X_90),multiply(X_264,X_264)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_90,commutator(multiply(X_264,X_264),multiply(inverse(X_90),X_264)))),inverse(multiply(X_90,commutator(multiply(X_264,X_264),multiply(inverse(X_90),X_264))))) ),[1,0],$fot(multiply(X_90,commutator(multiply(X_264,X_90),multiply(X_264,X_264))))]]) ).
cnf(refute_0_7897,plain,
( multiply(X_90,commutator(multiply(X_264,X_264),multiply(inverse(X_90),X_264))) != multiply(X_90,commutator(multiply(X_264,X_90),multiply(X_264,X_264)))
| inverse(multiply(X_90,commutator(multiply(X_264,X_264),multiply(inverse(X_90),X_264)))) = inverse(multiply(X_90,commutator(multiply(X_264,X_90),multiply(X_264,X_264)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_90,commutator(multiply(X_264,X_264),multiply(inverse(X_90),X_264)))),inverse(multiply(X_90,commutator(multiply(X_264,X_264),multiply(inverse(X_90),X_264))))) )],[refute_0_7895,refute_0_7896]) ).
cnf(refute_0_7898,plain,
inverse(multiply(X_90,commutator(multiply(X_264,X_264),multiply(inverse(X_90),X_264)))) = inverse(multiply(X_90,commutator(multiply(X_264,X_90),multiply(X_264,X_264)))),
inference(resolve,[$cnf( $equal(multiply(X_90,commutator(multiply(X_264,X_264),multiply(inverse(X_90),X_264))),multiply(X_90,commutator(multiply(X_264,X_90),multiply(X_264,X_264)))) )],[refute_0_7894,refute_0_7897]) ).
cnf(refute_0_7899,plain,
multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),inverse(X_90)) = inverse(multiply(X_90,commutator(multiply(X_264,X_264),multiply(inverse(X_90),X_264)))),
inference(subst,[],[refute_0_378:[bind(X_58,$fot(X_90)),bind(X_65,$fot(multiply(inverse(X_90),X_264))),bind(X_66,$fot(multiply(X_264,X_264)))]]) ).
cnf(refute_0_7900,plain,
( multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),inverse(X_90)) != inverse(multiply(X_90,commutator(multiply(X_264,X_264),multiply(inverse(X_90),X_264))))
| inverse(multiply(X_90,commutator(multiply(X_264,X_264),multiply(inverse(X_90),X_264)))) != inverse(multiply(X_90,commutator(multiply(X_264,X_90),multiply(X_264,X_264))))
| multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),inverse(X_90)) = inverse(multiply(X_90,commutator(multiply(X_264,X_90),multiply(X_264,X_264)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),inverse(X_90)))),bind(Y0,$fot(inverse(multiply(X_90,commutator(multiply(X_264,X_264),multiply(inverse(X_90),X_264)))))),bind(Z0,$fot(inverse(multiply(X_90,commutator(multiply(X_264,X_90),multiply(X_264,X_264))))))]]) ).
cnf(refute_0_7901,plain,
( inverse(multiply(X_90,commutator(multiply(X_264,X_264),multiply(inverse(X_90),X_264)))) != inverse(multiply(X_90,commutator(multiply(X_264,X_90),multiply(X_264,X_264))))
| multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),inverse(X_90)) = inverse(multiply(X_90,commutator(multiply(X_264,X_90),multiply(X_264,X_264)))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),inverse(X_90)),inverse(multiply(X_90,commutator(multiply(X_264,X_264),multiply(inverse(X_90),X_264))))) )],[refute_0_7899,refute_0_7900]) ).
cnf(refute_0_7902,plain,
multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),inverse(X_90)) = inverse(multiply(X_90,commutator(multiply(X_264,X_90),multiply(X_264,X_264)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_90,commutator(multiply(X_264,X_264),multiply(inverse(X_90),X_264)))),inverse(multiply(X_90,commutator(multiply(X_264,X_90),multiply(X_264,X_264))))) )],[refute_0_7898,refute_0_7901]) ).
cnf(refute_0_7903,plain,
multiply(X_90,multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),inverse(X_90))) = multiply(X_90,multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),inverse(X_90))),
introduced(tautology,[refl,[$fot(multiply(X_90,multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),inverse(X_90))))]]) ).
cnf(refute_0_7904,plain,
( multiply(X_90,multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),inverse(X_90))) != multiply(X_90,multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),inverse(X_90)))
| multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),inverse(X_90)) != inverse(multiply(X_90,commutator(multiply(X_264,X_90),multiply(X_264,X_264))))
| multiply(X_90,multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),inverse(X_90))) = multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_264,X_90),multiply(X_264,X_264))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_90,multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),inverse(X_90))),multiply(X_90,multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),inverse(X_90)))) ),[1,1],$fot(inverse(multiply(X_90,commutator(multiply(X_264,X_90),multiply(X_264,X_264)))))]]) ).
cnf(refute_0_7905,plain,
( multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),inverse(X_90)) != inverse(multiply(X_90,commutator(multiply(X_264,X_90),multiply(X_264,X_264))))
| multiply(X_90,multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),inverse(X_90))) = multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_264,X_90),multiply(X_264,X_264))))) ),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),inverse(X_90))),multiply(X_90,multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),inverse(X_90)))) )],[refute_0_7903,refute_0_7904]) ).
cnf(refute_0_7906,plain,
multiply(X_90,multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),inverse(X_90))) = multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_264,X_90),multiply(X_264,X_264))))),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),inverse(X_90)),inverse(multiply(X_90,commutator(multiply(X_264,X_90),multiply(X_264,X_264))))) )],[refute_0_7902,refute_0_7905]) ).
cnf(refute_0_7907,plain,
( multiply(X_90,multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),inverse(X_90))) != multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_264,X_90),multiply(X_264,X_264)))))
| multiply(X_90,multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),inverse(X_90))) != multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),identity)
| multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_264,X_90),multiply(X_264,X_264))))) = multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_90,multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),inverse(X_90))),multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),identity)) ),[0],$fot(multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_264,X_90),multiply(X_264,X_264))))))]]) ).
cnf(refute_0_7908,plain,
( multiply(X_90,multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),inverse(X_90))) != multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),identity)
| multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_264,X_90),multiply(X_264,X_264))))) = multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),identity) ),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),inverse(X_90))),multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_264,X_90),multiply(X_264,X_264)))))) )],[refute_0_7906,refute_0_7907]) ).
cnf(refute_0_7909,plain,
multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),identity) = commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),
inference(subst,[],[refute_0_100:[bind(X_16,$fot(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264))))]]) ).
cnf(refute_0_7910,plain,
( multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_264,X_90),multiply(X_264,X_264))))) != multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),identity)
| multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),identity) != commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264))
| multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_264,X_90),multiply(X_264,X_264))))) = commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_264,X_90),multiply(X_264,X_264))))),commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264))) ),[0],$fot(multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),identity))]]) ).
cnf(refute_0_7911,plain,
( multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_264,X_90),multiply(X_264,X_264))))) != multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),identity)
| multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_264,X_90),multiply(X_264,X_264))))) = commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),identity),commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264))) )],[refute_0_7909,refute_0_7910]) ).
cnf(refute_0_7912,plain,
( multiply(X_90,multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),inverse(X_90))) != multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),identity)
| multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_264,X_90),multiply(X_264,X_264))))) = commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)) ),
inference(resolve,[$cnf( $equal(multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_264,X_90),multiply(X_264,X_264))))),multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),identity)) )],[refute_0_7908,refute_0_7911]) ).
cnf(refute_0_7913,plain,
multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_264,X_90),multiply(X_264,X_264))))) = commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),inverse(X_90))),multiply(commutator(multiply(inverse(X_90),X_264),multiply(X_264,X_264)),identity)) )],[refute_0_7889,refute_0_7912]) ).
cnf(refute_0_7914,plain,
multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_267,X_58),multiply(X_267,X_267))))) = commutator(multiply(inverse(X_58),X_267),multiply(X_267,X_267)),
inference(subst,[],[refute_0_7913:[bind(X_264,$fot(X_267)),bind(X_90,$fot(X_58))]]) ).
cnf(refute_0_7915,plain,
( multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_267,X_58),multiply(X_267,X_267))))) != commutator(multiply(inverse(X_58),X_267),multiply(X_267,X_267))
| multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_267,X_58),multiply(X_267,X_267))))) != inverse(multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),identity))
| commutator(multiply(inverse(X_58),X_267),multiply(X_267,X_267)) = inverse(multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_267,X_58),multiply(X_267,X_267))))),inverse(multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),identity))) ),[0],$fot(commutator(multiply(inverse(X_58),X_267),multiply(X_267,X_267)))]]) ).
cnf(refute_0_7916,plain,
( multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_267,X_58),multiply(X_267,X_267))))) != inverse(multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),identity))
| commutator(multiply(inverse(X_58),X_267),multiply(X_267,X_267)) = inverse(multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),identity)) ),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_267,X_58),multiply(X_267,X_267))))),commutator(multiply(inverse(X_58),X_267),multiply(X_267,X_267))) )],[refute_0_7914,refute_0_7915]) ).
cnf(refute_0_7917,plain,
inverse(commutator(multiply(X_267,X_58),multiply(X_267,X_267))) = commutator(multiply(X_267,X_267),multiply(X_267,X_58)),
inference(subst,[],[refute_0_386:[bind(X,$fot(multiply(X_267,X_267))),bind(Y,$fot(multiply(X_267,X_58)))]]) ).
cnf(refute_0_7918,plain,
multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),identity) = commutator(multiply(X_267,X_58),multiply(X_267,X_267)),
inference(subst,[],[refute_0_100:[bind(X_16,$fot(commutator(multiply(X_267,X_58),multiply(X_267,X_267))))]]) ).
cnf(refute_0_7919,plain,
inverse(multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),identity)) = inverse(multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),identity)),
introduced(tautology,[refl,[$fot(inverse(multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),identity)))]]) ).
cnf(refute_0_7920,plain,
( multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),identity) != commutator(multiply(X_267,X_58),multiply(X_267,X_267))
| inverse(multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),identity)) != inverse(multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),identity))
| inverse(multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),identity)) = inverse(commutator(multiply(X_267,X_58),multiply(X_267,X_267))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),identity)),inverse(multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),identity))) ),[1,0],$fot(commutator(multiply(X_267,X_58),multiply(X_267,X_267)))]]) ).
cnf(refute_0_7921,plain,
( multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),identity) != commutator(multiply(X_267,X_58),multiply(X_267,X_267))
| inverse(multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),identity)) = inverse(commutator(multiply(X_267,X_58),multiply(X_267,X_267))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),identity)),inverse(multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),identity))) )],[refute_0_7919,refute_0_7920]) ).
cnf(refute_0_7922,plain,
inverse(multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),identity)) = inverse(commutator(multiply(X_267,X_58),multiply(X_267,X_267))),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),identity),commutator(multiply(X_267,X_58),multiply(X_267,X_267))) )],[refute_0_7918,refute_0_7921]) ).
cnf(refute_0_7923,plain,
( inverse(multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),identity)) != inverse(commutator(multiply(X_267,X_58),multiply(X_267,X_267)))
| inverse(commutator(multiply(X_267,X_58),multiply(X_267,X_267))) != commutator(multiply(X_267,X_267),multiply(X_267,X_58))
| inverse(multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),identity)) = commutator(multiply(X_267,X_267),multiply(X_267,X_58)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),identity)))),bind(Y0,$fot(inverse(commutator(multiply(X_267,X_58),multiply(X_267,X_267))))),bind(Z0,$fot(commutator(multiply(X_267,X_267),multiply(X_267,X_58))))]]) ).
cnf(refute_0_7924,plain,
( inverse(commutator(multiply(X_267,X_58),multiply(X_267,X_267))) != commutator(multiply(X_267,X_267),multiply(X_267,X_58))
| inverse(multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),identity)) = commutator(multiply(X_267,X_267),multiply(X_267,X_58)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),identity)),inverse(commutator(multiply(X_267,X_58),multiply(X_267,X_267)))) )],[refute_0_7922,refute_0_7923]) ).
cnf(refute_0_7925,plain,
inverse(multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),identity)) = commutator(multiply(X_267,X_267),multiply(X_267,X_58)),
inference(resolve,[$cnf( $equal(inverse(commutator(multiply(X_267,X_58),multiply(X_267,X_267))),commutator(multiply(X_267,X_267),multiply(X_267,X_58))) )],[refute_0_7917,refute_0_7924]) ).
cnf(refute_0_7926,plain,
( commutator(multiply(inverse(X_58),X_267),multiply(X_267,X_267)) != inverse(multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),identity))
| inverse(multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),identity)) != commutator(multiply(X_267,X_267),multiply(X_267,X_58))
| commutator(multiply(inverse(X_58),X_267),multiply(X_267,X_267)) = commutator(multiply(X_267,X_267),multiply(X_267,X_58)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(multiply(inverse(X_58),X_267),multiply(X_267,X_267)),commutator(multiply(X_267,X_267),multiply(X_267,X_58))) ),[0],$fot(inverse(multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),identity)))]]) ).
cnf(refute_0_7927,plain,
( commutator(multiply(inverse(X_58),X_267),multiply(X_267,X_267)) != inverse(multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),identity))
| commutator(multiply(inverse(X_58),X_267),multiply(X_267,X_267)) = commutator(multiply(X_267,X_267),multiply(X_267,X_58)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),identity)),commutator(multiply(X_267,X_267),multiply(X_267,X_58))) )],[refute_0_7925,refute_0_7926]) ).
cnf(refute_0_7928,plain,
( multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_267,X_58),multiply(X_267,X_267))))) != inverse(multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),identity))
| commutator(multiply(inverse(X_58),X_267),multiply(X_267,X_267)) = commutator(multiply(X_267,X_267),multiply(X_267,X_58)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_58),X_267),multiply(X_267,X_267)),inverse(multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),identity))) )],[refute_0_7916,refute_0_7927]) ).
cnf(refute_0_7929,plain,
commutator(multiply(inverse(X_58),X_267),multiply(X_267,X_267)) = commutator(multiply(X_267,X_267),multiply(X_267,X_58)),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_267,X_58),multiply(X_267,X_267))))),inverse(multiply(commutator(multiply(X_267,X_58),multiply(X_267,X_267)),identity))) )],[refute_0_7882,refute_0_7928]) ).
cnf(refute_0_7930,plain,
commutator(inverse(X_58),multiply(X_267,X_267)) = commutator(multiply(X_267,X_267),X_58),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(X_58)),bind(X_110,$fot(multiply(X_267,X_267)))]]) ).
cnf(refute_0_7931,plain,
multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),X_58)))) = commutator(X_58,multiply(X_262,X_262)),
inference(subst,[],[refute_0_1329:[bind(X_136,$fot(multiply(X_262,X_262)))]]) ).
cnf(refute_0_7932,plain,
multiply(X_397,inverse(multiply(X_397,commutator(multiply(X_10,X_397),multiply(X_397,X_397))))) = commutator(multiply(X_397,X_397),multiply(X_10,X_397)),
inference(subst,[],[refute_0_4807:[bind(Z,$fot(multiply(X_10,X_397))),bind(X_136,$fot(X_397))]]) ).
cnf(refute_0_7933,plain,
commutator(multiply(X_10,X_397),multiply(X_397,X_397)) = commutator(multiply(X_10,X_397),multiply(X_397,inverse(X_10))),
inference(subst,[],[refute_0_1692:[bind(X_161,$fot(X_397)),bind(X_162,$fot(X_397))]]) ).
cnf(refute_0_7934,plain,
( multiply(X_397,inverse(multiply(X_397,commutator(multiply(X_10,X_397),multiply(X_397,X_397))))) != commutator(multiply(X_397,X_397),multiply(X_10,X_397))
| commutator(multiply(X_10,X_397),multiply(X_397,X_397)) != commutator(multiply(X_10,X_397),multiply(X_397,inverse(X_10)))
| multiply(X_397,inverse(multiply(X_397,commutator(multiply(X_10,X_397),multiply(X_397,inverse(X_10)))))) = commutator(multiply(X_397,X_397),multiply(X_10,X_397)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_397,inverse(multiply(X_397,commutator(multiply(X_10,X_397),multiply(X_397,X_397))))),commutator(multiply(X_397,X_397),multiply(X_10,X_397))) ),[0,1,0,1],$fot(commutator(multiply(X_10,X_397),multiply(X_397,inverse(X_10))))]]) ).
cnf(refute_0_7935,plain,
( multiply(X_397,inverse(multiply(X_397,commutator(multiply(X_10,X_397),multiply(X_397,X_397))))) != commutator(multiply(X_397,X_397),multiply(X_10,X_397))
| multiply(X_397,inverse(multiply(X_397,commutator(multiply(X_10,X_397),multiply(X_397,inverse(X_10)))))) = commutator(multiply(X_397,X_397),multiply(X_10,X_397)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_10,X_397),multiply(X_397,X_397)),commutator(multiply(X_10,X_397),multiply(X_397,inverse(X_10)))) )],[refute_0_7933,refute_0_7934]) ).
cnf(refute_0_7936,plain,
multiply(X_397,inverse(multiply(X_397,commutator(multiply(X_10,X_397),multiply(X_397,inverse(X_10)))))) = commutator(multiply(X_397,X_397),multiply(X_10,X_397)),
inference(resolve,[$cnf( $equal(multiply(X_397,inverse(multiply(X_397,commutator(multiply(X_10,X_397),multiply(X_397,X_397))))),commutator(multiply(X_397,X_397),multiply(X_10,X_397))) )],[refute_0_7932,refute_0_7935]) ).
cnf(refute_0_7937,plain,
multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))) = inverse(multiply(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))),commutator(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))),
inference(subst,[],[refute_0_598:[bind(X_10,$fot(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))]]) ).
cnf(refute_0_7938,plain,
identity = commutator(Y,commutator(multiply(X_171,Y),multiply(Y,Y))),
inference(subst,[],[refute_0_4789:[bind(Z,$fot(multiply(X_171,Y)))]]) ).
cnf(refute_0_7939,plain,
commutator(multiply(X_171,Y),multiply(Y,Y)) = commutator(multiply(X_171,Y),multiply(Y,inverse(X_171))),
inference(subst,[],[refute_0_1692:[bind(X_10,$fot(X_171)),bind(X_161,$fot(Y)),bind(X_162,$fot(Y))]]) ).
cnf(refute_0_7940,plain,
( commutator(multiply(X_171,Y),multiply(Y,Y)) != commutator(multiply(X_171,Y),multiply(Y,inverse(X_171)))
| identity != commutator(Y,commutator(multiply(X_171,Y),multiply(Y,Y)))
| identity = commutator(Y,commutator(multiply(X_171,Y),multiply(Y,inverse(X_171)))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,commutator(Y,commutator(multiply(X_171,Y),multiply(Y,Y)))) ),[1,1],$fot(commutator(multiply(X_171,Y),multiply(Y,inverse(X_171))))]]) ).
cnf(refute_0_7941,plain,
( identity != commutator(Y,commutator(multiply(X_171,Y),multiply(Y,Y)))
| identity = commutator(Y,commutator(multiply(X_171,Y),multiply(Y,inverse(X_171)))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_171,Y),multiply(Y,Y)),commutator(multiply(X_171,Y),multiply(Y,inverse(X_171)))) )],[refute_0_7939,refute_0_7940]) ).
cnf(refute_0_7942,plain,
identity = commutator(Y,commutator(multiply(X_171,Y),multiply(Y,inverse(X_171)))),
inference(resolve,[$cnf( $equal(identity,commutator(Y,commutator(multiply(X_171,Y),multiply(Y,Y)))) )],[refute_0_7938,refute_0_7941]) ).
cnf(refute_0_7943,plain,
identity = commutator(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))),
inference(subst,[],[refute_0_7942:[bind(Y,$fot(X_58)),bind(X_171,$fot(X_175))]]) ).
cnf(refute_0_7944,plain,
( identity != commutator(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))))
| commutator(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))) = identity ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(identity)),bind(Y0,$fot(commutator(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))))))]]) ).
cnf(refute_0_7945,plain,
commutator(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))) = identity,
inference(resolve,[$cnf( $equal(identity,commutator(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))))) )],[refute_0_7943,refute_0_7944]) ).
cnf(refute_0_7946,plain,
( multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))) != inverse(multiply(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))),commutator(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))))))
| commutator(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))) != identity
| multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))) = inverse(multiply(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))),inverse(multiply(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))),commutator(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))))))) ),[1,0,1],$fot(identity)]]) ).
cnf(refute_0_7947,plain,
( multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))) != inverse(multiply(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))),commutator(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))))))
| multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))) = inverse(multiply(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))),identity)) ),
inference(resolve,[$cnf( $equal(commutator(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))),identity) )],[refute_0_7945,refute_0_7946]) ).
cnf(refute_0_7948,plain,
multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))) = inverse(multiply(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))),identity)),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))),inverse(multiply(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))),commutator(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))))))) )],[refute_0_7937,refute_0_7947]) ).
cnf(refute_0_7949,plain,
commutator(multiply(X_58,inverse(X_175)),multiply(X_175,X_58)) = commutator(multiply(X_175,X_58),multiply(X_175,inverse(X_58))),
inference(subst,[],[refute_0_2366:[bind(X_10,$fot(multiply(X_175,X_58))),bind(X_171,$fot(X_175)),bind(X_173,$fot(X_58))]]) ).
cnf(refute_0_7950,plain,
inverse(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))) = commutator(multiply(X_58,inverse(X_175)),multiply(X_175,X_58)),
inference(subst,[],[refute_0_386:[bind(X,$fot(multiply(X_58,inverse(X_175)))),bind(Y,$fot(multiply(X_175,X_58)))]]) ).
cnf(refute_0_7951,plain,
( commutator(multiply(X_58,inverse(X_175)),multiply(X_175,X_58)) != commutator(multiply(X_175,X_58),multiply(X_175,inverse(X_58)))
| inverse(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))) != commutator(multiply(X_58,inverse(X_175)),multiply(X_175,X_58))
| inverse(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))) = commutator(multiply(X_175,X_58),multiply(X_175,inverse(X_58))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))),bind(Y0,$fot(commutator(multiply(X_58,inverse(X_175)),multiply(X_175,X_58)))),bind(Z0,$fot(commutator(multiply(X_175,X_58),multiply(X_175,inverse(X_58)))))]]) ).
cnf(refute_0_7952,plain,
( commutator(multiply(X_58,inverse(X_175)),multiply(X_175,X_58)) != commutator(multiply(X_175,X_58),multiply(X_175,inverse(X_58)))
| inverse(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))) = commutator(multiply(X_175,X_58),multiply(X_175,inverse(X_58))) ),
inference(resolve,[$cnf( $equal(inverse(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))),commutator(multiply(X_58,inverse(X_175)),multiply(X_175,X_58))) )],[refute_0_7950,refute_0_7951]) ).
cnf(refute_0_7953,plain,
inverse(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))) = commutator(multiply(X_175,X_58),multiply(X_175,inverse(X_58))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_58,inverse(X_175)),multiply(X_175,X_58)),commutator(multiply(X_175,X_58),multiply(X_175,inverse(X_58)))) )],[refute_0_7949,refute_0_7952]) ).
cnf(refute_0_7954,plain,
multiply(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))),identity) = commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))),
inference(subst,[],[refute_0_100:[bind(X_16,$fot(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))]]) ).
cnf(refute_0_7955,plain,
inverse(multiply(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))),identity)) = inverse(multiply(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))),identity)),
introduced(tautology,[refl,[$fot(inverse(multiply(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))),identity)))]]) ).
cnf(refute_0_7956,plain,
( multiply(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))),identity) != commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))
| inverse(multiply(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))),identity)) != inverse(multiply(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))),identity))
| inverse(multiply(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))),identity)) = inverse(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))),identity)),inverse(multiply(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))),identity))) ),[1,0],$fot(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))))]]) ).
cnf(refute_0_7957,plain,
( multiply(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))),identity) != commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))
| inverse(multiply(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))),identity)) = inverse(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))),identity)),inverse(multiply(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))),identity))) )],[refute_0_7955,refute_0_7956]) ).
cnf(refute_0_7958,plain,
inverse(multiply(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))),identity)) = inverse(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))),identity),commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))) )],[refute_0_7954,refute_0_7957]) ).
cnf(refute_0_7959,plain,
( inverse(multiply(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))),identity)) != inverse(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))))
| inverse(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))) != commutator(multiply(X_175,X_58),multiply(X_175,inverse(X_58)))
| inverse(multiply(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))),identity)) = commutator(multiply(X_175,X_58),multiply(X_175,inverse(X_58))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))),identity)))),bind(Y0,$fot(inverse(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))),bind(Z0,$fot(commutator(multiply(X_175,X_58),multiply(X_175,inverse(X_58)))))]]) ).
cnf(refute_0_7960,plain,
( inverse(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))) != commutator(multiply(X_175,X_58),multiply(X_175,inverse(X_58)))
| inverse(multiply(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))),identity)) = commutator(multiply(X_175,X_58),multiply(X_175,inverse(X_58))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))),identity)),inverse(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))))) )],[refute_0_7958,refute_0_7959]) ).
cnf(refute_0_7961,plain,
inverse(multiply(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))),identity)) = commutator(multiply(X_175,X_58),multiply(X_175,inverse(X_58))),
inference(resolve,[$cnf( $equal(inverse(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))),commutator(multiply(X_175,X_58),multiply(X_175,inverse(X_58)))) )],[refute_0_7953,refute_0_7960]) ).
cnf(refute_0_7962,plain,
( multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))) != inverse(multiply(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))),identity))
| inverse(multiply(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))),identity)) != commutator(multiply(X_175,X_58),multiply(X_175,inverse(X_58)))
| multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))) = commutator(multiply(X_175,X_58),multiply(X_175,inverse(X_58))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))),commutator(multiply(X_175,X_58),multiply(X_175,inverse(X_58)))) ),[0],$fot(inverse(multiply(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))),identity)))]]) ).
cnf(refute_0_7963,plain,
( multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))) != inverse(multiply(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))),identity))
| multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))) = commutator(multiply(X_175,X_58),multiply(X_175,inverse(X_58))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))),identity)),commutator(multiply(X_175,X_58),multiply(X_175,inverse(X_58)))) )],[refute_0_7961,refute_0_7962]) ).
cnf(refute_0_7964,plain,
multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))) = commutator(multiply(X_175,X_58),multiply(X_175,inverse(X_58))),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))),inverse(multiply(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))),identity))) )],[refute_0_7948,refute_0_7963]) ).
cnf(refute_0_7965,plain,
multiply(X_397,inverse(multiply(X_397,commutator(multiply(X_10,X_397),multiply(X_397,inverse(X_10)))))) = commutator(multiply(X_10,X_397),multiply(X_10,inverse(X_397))),
inference(subst,[],[refute_0_7964:[bind(X_175,$fot(X_10)),bind(X_58,$fot(X_397))]]) ).
cnf(refute_0_7966,plain,
( multiply(X_397,inverse(multiply(X_397,commutator(multiply(X_10,X_397),multiply(X_397,inverse(X_10)))))) != commutator(multiply(X_10,X_397),multiply(X_10,inverse(X_397)))
| multiply(X_397,inverse(multiply(X_397,commutator(multiply(X_10,X_397),multiply(X_397,inverse(X_10)))))) != commutator(multiply(X_397,X_397),multiply(X_10,X_397))
| commutator(multiply(X_10,X_397),multiply(X_10,inverse(X_397))) = commutator(multiply(X_397,X_397),multiply(X_10,X_397)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_397,inverse(multiply(X_397,commutator(multiply(X_10,X_397),multiply(X_397,inverse(X_10)))))),commutator(multiply(X_397,X_397),multiply(X_10,X_397))) ),[0],$fot(commutator(multiply(X_10,X_397),multiply(X_10,inverse(X_397))))]]) ).
cnf(refute_0_7967,plain,
( multiply(X_397,inverse(multiply(X_397,commutator(multiply(X_10,X_397),multiply(X_397,inverse(X_10)))))) != commutator(multiply(X_397,X_397),multiply(X_10,X_397))
| commutator(multiply(X_10,X_397),multiply(X_10,inverse(X_397))) = commutator(multiply(X_397,X_397),multiply(X_10,X_397)) ),
inference(resolve,[$cnf( $equal(multiply(X_397,inverse(multiply(X_397,commutator(multiply(X_10,X_397),multiply(X_397,inverse(X_10)))))),commutator(multiply(X_10,X_397),multiply(X_10,inverse(X_397)))) )],[refute_0_7965,refute_0_7966]) ).
cnf(refute_0_7968,plain,
commutator(multiply(X_10,X_397),multiply(X_10,inverse(X_397))) = commutator(multiply(X_397,X_397),multiply(X_10,X_397)),
inference(resolve,[$cnf( $equal(multiply(X_397,inverse(multiply(X_397,commutator(multiply(X_10,X_397),multiply(X_397,inverse(X_10)))))),commutator(multiply(X_397,X_397),multiply(X_10,X_397))) )],[refute_0_7936,refute_0_7967]) ).
cnf(refute_0_7969,plain,
multiply(X_58,inverse(multiply(X_58,commutator(X_175,multiply(X_58,X_58))))) = commutator(multiply(X_58,X_58),X_175),
inference(subst,[],[refute_0_4807:[bind(Z,$fot(X_175)),bind(X_136,$fot(X_58))]]) ).
cnf(refute_0_7970,plain,
multiply(commutator(X_296,commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171)))),multiply(inverse(X_296),multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296))) = commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),
inference(subst,[],[refute_0_5845:[bind(X_10,$fot(X_296)),bind(X_58,$fot(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171)))))]]) ).
cnf(refute_0_7971,plain,
identity = commutator(X_296,commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171)))),
inference(subst,[],[refute_0_7942:[bind(Y,$fot(X_296))]]) ).
cnf(refute_0_7972,plain,
( identity != commutator(X_296,commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))))
| commutator(X_296,commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171)))) = identity ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(identity)),bind(Y0,$fot(commutator(X_296,commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))))))]]) ).
cnf(refute_0_7973,plain,
commutator(X_296,commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171)))) = identity,
inference(resolve,[$cnf( $equal(identity,commutator(X_296,commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))))) )],[refute_0_7971,refute_0_7972]) ).
cnf(refute_0_7974,plain,
( multiply(commutator(X_296,commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171)))),multiply(inverse(X_296),multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296))) != commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171)))
| commutator(X_296,commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171)))) != identity
| multiply(identity,multiply(inverse(X_296),multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296))) = commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_296,commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171)))),multiply(inverse(X_296),multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296))),commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171)))) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_7975,plain,
( multiply(commutator(X_296,commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171)))),multiply(inverse(X_296),multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296))) != commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171)))
| multiply(identity,multiply(inverse(X_296),multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296))) = commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))) ),
inference(resolve,[$cnf( $equal(commutator(X_296,commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171)))),identity) )],[refute_0_7973,refute_0_7974]) ).
cnf(refute_0_7976,plain,
multiply(identity,multiply(inverse(X_296),multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296))) = commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_296,commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171)))),multiply(inverse(X_296),multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296))),commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171)))) )],[refute_0_7970,refute_0_7975]) ).
cnf(refute_0_7977,plain,
multiply(identity,multiply(inverse(X_296),multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296))) = multiply(inverse(X_296),multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296)),
inference(subst,[],[left_identity:[bind(X,$fot(multiply(inverse(X_296),multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296))))]]) ).
cnf(refute_0_7978,plain,
( multiply(identity,multiply(inverse(X_296),multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296))) != multiply(inverse(X_296),multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296))
| multiply(identity,multiply(inverse(X_296),multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296))) != commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171)))
| multiply(inverse(X_296),multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296)) = commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,multiply(inverse(X_296),multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296))),commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171)))) ),[0],$fot(multiply(inverse(X_296),multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296)))]]) ).
cnf(refute_0_7979,plain,
( multiply(identity,multiply(inverse(X_296),multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296))) != commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171)))
| multiply(inverse(X_296),multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296)) = commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))) ),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(inverse(X_296),multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296))),multiply(inverse(X_296),multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296))) )],[refute_0_7977,refute_0_7978]) ).
cnf(refute_0_7980,plain,
multiply(inverse(X_296),multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296)) = commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(inverse(X_296),multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296))),commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171)))) )],[refute_0_7976,refute_0_7979]) ).
cnf(refute_0_7981,plain,
multiply(X_171,multiply(X_296,multiply(X_296,inverse(multiply(X_296,X_171))))) = multiply(commutator(X_171,multiply(X_296,X_296)),X_296),
inference(subst,[],[refute_0_2597:[bind(X_10,$fot(X_296)),bind(X_256,$fot(X_171)),bind(X_257,$fot(X_296))]]) ).
cnf(refute_0_7982,plain,
multiply(commutator(multiply(X_10,X_338),multiply(X_340,X_338)),X_340) = multiply(multiply(X_10,X_338),multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338)))))),
inference(subst,[],[refute_0_2595:[bind(X_10,$fot(X_338)),bind(X_256,$fot(multiply(X_10,X_338))),bind(X_257,$fot(X_340))]]) ).
cnf(refute_0_7983,plain,
commutator(multiply(X_10,X_338),multiply(X_340,X_338)) = commutator(multiply(X_10,X_338),multiply(X_340,inverse(X_10))),
inference(subst,[],[refute_0_1692:[bind(X_161,$fot(X_338)),bind(X_162,$fot(X_340))]]) ).
cnf(refute_0_7984,plain,
( multiply(commutator(multiply(X_10,X_338),multiply(X_340,X_338)),X_340) != multiply(multiply(X_10,X_338),multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338))))))
| commutator(multiply(X_10,X_338),multiply(X_340,X_338)) != commutator(multiply(X_10,X_338),multiply(X_340,inverse(X_10)))
| multiply(commutator(multiply(X_10,X_338),multiply(X_340,inverse(X_10))),X_340) = multiply(multiply(X_10,X_338),multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(multiply(X_10,X_338),multiply(X_340,X_338)),X_340),multiply(multiply(X_10,X_338),multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338))))))) ),[0,0],$fot(commutator(multiply(X_10,X_338),multiply(X_340,inverse(X_10))))]]) ).
cnf(refute_0_7985,plain,
( multiply(commutator(multiply(X_10,X_338),multiply(X_340,X_338)),X_340) != multiply(multiply(X_10,X_338),multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338))))))
| multiply(commutator(multiply(X_10,X_338),multiply(X_340,inverse(X_10))),X_340) = multiply(multiply(X_10,X_338),multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338)))))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_10,X_338),multiply(X_340,X_338)),commutator(multiply(X_10,X_338),multiply(X_340,inverse(X_10)))) )],[refute_0_7983,refute_0_7984]) ).
cnf(refute_0_7986,plain,
multiply(commutator(multiply(X_10,X_338),multiply(X_340,inverse(X_10))),X_340) = multiply(multiply(X_10,X_338),multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338)))))),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_10,X_338),multiply(X_340,X_338)),X_340),multiply(multiply(X_10,X_338),multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338))))))) )],[refute_0_7982,refute_0_7985]) ).
cnf(refute_0_7987,plain,
multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338)))) = inverse(multiply(X_338,X_10)),
inference(subst,[],[refute_0_1367:[bind(X,$fot(X_338)),bind(Y,$fot(X_10)),bind(X_59,$fot(X_338))]]) ).
cnf(refute_0_7988,plain,
multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338))))) = multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338))))),
introduced(tautology,[refl,[$fot(multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338))))))]]) ).
cnf(refute_0_7989,plain,
( multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338)))) != inverse(multiply(X_338,X_10))
| multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338))))) != multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338)))))
| multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338))))) = multiply(X_340,inverse(multiply(X_338,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338))))),multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338)))))) ),[1,1],$fot(inverse(multiply(X_338,X_10)))]]) ).
cnf(refute_0_7990,plain,
( multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338)))) != inverse(multiply(X_338,X_10))
| multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338))))) = multiply(X_340,inverse(multiply(X_338,X_10))) ),
inference(resolve,[$cnf( $equal(multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338))))),multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338)))))) )],[refute_0_7988,refute_0_7989]) ).
cnf(refute_0_7991,plain,
multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338))))) = multiply(X_340,inverse(multiply(X_338,X_10))),
inference(resolve,[$cnf( $equal(multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338)))),inverse(multiply(X_338,X_10))) )],[refute_0_7987,refute_0_7990]) ).
cnf(refute_0_7992,plain,
multiply(X_338,multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338)))))) = multiply(X_338,multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338)))))),
introduced(tautology,[refl,[$fot(multiply(X_338,multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338)))))))]]) ).
cnf(refute_0_7993,plain,
( multiply(X_338,multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338)))))) != multiply(X_338,multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338))))))
| multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338))))) != multiply(X_340,inverse(multiply(X_338,X_10)))
| multiply(X_338,multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338)))))) = multiply(X_338,multiply(X_340,inverse(multiply(X_338,X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_338,multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338)))))),multiply(X_338,multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338))))))) ),[1,1],$fot(multiply(X_340,inverse(multiply(X_338,X_10))))]]) ).
cnf(refute_0_7994,plain,
( multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338))))) != multiply(X_340,inverse(multiply(X_338,X_10)))
| multiply(X_338,multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338)))))) = multiply(X_338,multiply(X_340,inverse(multiply(X_338,X_10)))) ),
inference(resolve,[$cnf( $equal(multiply(X_338,multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338)))))),multiply(X_338,multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338))))))) )],[refute_0_7992,refute_0_7993]) ).
cnf(refute_0_7995,plain,
multiply(X_338,multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338)))))) = multiply(X_338,multiply(X_340,inverse(multiply(X_338,X_10)))),
inference(resolve,[$cnf( $equal(multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338))))),multiply(X_340,inverse(multiply(X_338,X_10)))) )],[refute_0_7991,refute_0_7994]) ).
cnf(refute_0_7996,plain,
multiply(X_10,multiply(X_338,multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338))))))) = multiply(X_10,multiply(X_338,multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338))))))),
introduced(tautology,[refl,[$fot(multiply(X_10,multiply(X_338,multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338))))))))]]) ).
cnf(refute_0_7997,plain,
( multiply(X_10,multiply(X_338,multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338))))))) != multiply(X_10,multiply(X_338,multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338)))))))
| multiply(X_338,multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338)))))) != multiply(X_338,multiply(X_340,inverse(multiply(X_338,X_10))))
| multiply(X_10,multiply(X_338,multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338))))))) = multiply(X_10,multiply(X_338,multiply(X_340,inverse(multiply(X_338,X_10))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_10,multiply(X_338,multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338))))))),multiply(X_10,multiply(X_338,multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338)))))))) ),[1,1],$fot(multiply(X_338,multiply(X_340,inverse(multiply(X_338,X_10)))))]]) ).
cnf(refute_0_7998,plain,
( multiply(X_338,multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338)))))) != multiply(X_338,multiply(X_340,inverse(multiply(X_338,X_10))))
| multiply(X_10,multiply(X_338,multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338))))))) = multiply(X_10,multiply(X_338,multiply(X_340,inverse(multiply(X_338,X_10))))) ),
inference(resolve,[$cnf( $equal(multiply(X_10,multiply(X_338,multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338))))))),multiply(X_10,multiply(X_338,multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338)))))))) )],[refute_0_7996,refute_0_7997]) ).
cnf(refute_0_7999,plain,
multiply(X_10,multiply(X_338,multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338))))))) = multiply(X_10,multiply(X_338,multiply(X_340,inverse(multiply(X_338,X_10))))),
inference(resolve,[$cnf( $equal(multiply(X_338,multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338)))))),multiply(X_338,multiply(X_340,inverse(multiply(X_338,X_10))))) )],[refute_0_7995,refute_0_7998]) ).
cnf(refute_0_8000,plain,
multiply(multiply(X_10,X_338),multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338)))))) = multiply(X_10,multiply(X_338,multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338))))))),
inference(subst,[],[associativity:[bind(X,$fot(X_10)),bind(Y,$fot(X_338)),bind(Z,$fot(multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338)))))))]]) ).
cnf(refute_0_8001,plain,
( multiply(X_10,multiply(X_338,multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338))))))) != multiply(X_10,multiply(X_338,multiply(X_340,inverse(multiply(X_338,X_10)))))
| multiply(multiply(X_10,X_338),multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338)))))) != multiply(X_10,multiply(X_338,multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338)))))))
| multiply(multiply(X_10,X_338),multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338)))))) = multiply(X_10,multiply(X_338,multiply(X_340,inverse(multiply(X_338,X_10))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_10,X_338),multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338)))))))),bind(Y0,$fot(multiply(X_10,multiply(X_338,multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338))))))))),bind(Z0,$fot(multiply(X_10,multiply(X_338,multiply(X_340,inverse(multiply(X_338,X_10)))))))]]) ).
cnf(refute_0_8002,plain,
( multiply(X_10,multiply(X_338,multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338))))))) != multiply(X_10,multiply(X_338,multiply(X_340,inverse(multiply(X_338,X_10)))))
| multiply(multiply(X_10,X_338),multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338)))))) = multiply(X_10,multiply(X_338,multiply(X_340,inverse(multiply(X_338,X_10))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_10,X_338),multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338)))))),multiply(X_10,multiply(X_338,multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338)))))))) )],[refute_0_8000,refute_0_8001]) ).
cnf(refute_0_8003,plain,
multiply(multiply(X_10,X_338),multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338)))))) = multiply(X_10,multiply(X_338,multiply(X_340,inverse(multiply(X_338,X_10))))),
inference(resolve,[$cnf( $equal(multiply(X_10,multiply(X_338,multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338))))))),multiply(X_10,multiply(X_338,multiply(X_340,inverse(multiply(X_338,X_10)))))) )],[refute_0_7999,refute_0_8002]) ).
cnf(refute_0_8004,plain,
( multiply(multiply(X_10,X_338),multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338)))))) != multiply(X_10,multiply(X_338,multiply(X_340,inverse(multiply(X_338,X_10)))))
| multiply(commutator(multiply(X_10,X_338),multiply(X_340,inverse(X_10))),X_340) != multiply(multiply(X_10,X_338),multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338))))))
| multiply(commutator(multiply(X_10,X_338),multiply(X_340,inverse(X_10))),X_340) = multiply(X_10,multiply(X_338,multiply(X_340,inverse(multiply(X_338,X_10))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(multiply(X_10,X_338),multiply(X_340,inverse(X_10))),X_340),multiply(multiply(X_10,X_338),multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338))))))) ),[1],$fot(multiply(X_10,multiply(X_338,multiply(X_340,inverse(multiply(X_338,X_10))))))]]) ).
cnf(refute_0_8005,plain,
( multiply(commutator(multiply(X_10,X_338),multiply(X_340,inverse(X_10))),X_340) != multiply(multiply(X_10,X_338),multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338))))))
| multiply(commutator(multiply(X_10,X_338),multiply(X_340,inverse(X_10))),X_340) = multiply(X_10,multiply(X_338,multiply(X_340,inverse(multiply(X_338,X_10))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_10,X_338),multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338)))))),multiply(X_10,multiply(X_338,multiply(X_340,inverse(multiply(X_338,X_10)))))) )],[refute_0_8003,refute_0_8004]) ).
cnf(refute_0_8006,plain,
multiply(commutator(multiply(X_10,X_338),multiply(X_340,inverse(X_10))),X_340) = multiply(X_10,multiply(X_338,multiply(X_340,inverse(multiply(X_338,X_10))))),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_10,X_338),multiply(X_340,inverse(X_10))),X_340),multiply(multiply(X_10,X_338),multiply(X_340,multiply(X_338,inverse(multiply(X_338,multiply(X_10,X_338))))))) )],[refute_0_7986,refute_0_8005]) ).
cnf(refute_0_8007,plain,
multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296) = multiply(X_171,multiply(X_296,multiply(X_296,inverse(multiply(X_296,X_171))))),
inference(subst,[],[refute_0_8006:[bind(X_10,$fot(X_171)),bind(X_338,$fot(X_296)),bind(X_340,$fot(X_296))]]) ).
cnf(refute_0_8008,plain,
( multiply(X_171,multiply(X_296,multiply(X_296,inverse(multiply(X_296,X_171))))) != multiply(commutator(X_171,multiply(X_296,X_296)),X_296)
| multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296) != multiply(X_171,multiply(X_296,multiply(X_296,inverse(multiply(X_296,X_171)))))
| multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296) = multiply(commutator(X_171,multiply(X_296,X_296)),X_296) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296))),bind(Y0,$fot(multiply(X_171,multiply(X_296,multiply(X_296,inverse(multiply(X_296,X_171))))))),bind(Z0,$fot(multiply(commutator(X_171,multiply(X_296,X_296)),X_296)))]]) ).
cnf(refute_0_8009,plain,
( multiply(X_171,multiply(X_296,multiply(X_296,inverse(multiply(X_296,X_171))))) != multiply(commutator(X_171,multiply(X_296,X_296)),X_296)
| multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296) = multiply(commutator(X_171,multiply(X_296,X_296)),X_296) ),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296),multiply(X_171,multiply(X_296,multiply(X_296,inverse(multiply(X_296,X_171)))))) )],[refute_0_8007,refute_0_8008]) ).
cnf(refute_0_8010,plain,
multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296) = multiply(commutator(X_171,multiply(X_296,X_296)),X_296),
inference(resolve,[$cnf( $equal(multiply(X_171,multiply(X_296,multiply(X_296,inverse(multiply(X_296,X_171))))),multiply(commutator(X_171,multiply(X_296,X_296)),X_296)) )],[refute_0_7981,refute_0_8009]) ).
cnf(refute_0_8011,plain,
multiply(inverse(X_296),multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296)) = multiply(inverse(X_296),multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296)),
introduced(tautology,[refl,[$fot(multiply(inverse(X_296),multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296)))]]) ).
cnf(refute_0_8012,plain,
( multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296) != multiply(commutator(X_171,multiply(X_296,X_296)),X_296)
| multiply(inverse(X_296),multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296)) != multiply(inverse(X_296),multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296))
| multiply(inverse(X_296),multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296)) = multiply(inverse(X_296),multiply(commutator(X_171,multiply(X_296,X_296)),X_296)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_296),multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296)),multiply(inverse(X_296),multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296))) ),[1,1],$fot(multiply(commutator(X_171,multiply(X_296,X_296)),X_296))]]) ).
cnf(refute_0_8013,plain,
( multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296) != multiply(commutator(X_171,multiply(X_296,X_296)),X_296)
| multiply(inverse(X_296),multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296)) = multiply(inverse(X_296),multiply(commutator(X_171,multiply(X_296,X_296)),X_296)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_296),multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296)),multiply(inverse(X_296),multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296))) )],[refute_0_8011,refute_0_8012]) ).
cnf(refute_0_8014,plain,
multiply(inverse(X_296),multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296)) = multiply(inverse(X_296),multiply(commutator(X_171,multiply(X_296,X_296)),X_296)),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296),multiply(commutator(X_171,multiply(X_296,X_296)),X_296)) )],[refute_0_8010,refute_0_8013]) ).
cnf(refute_0_8015,plain,
( multiply(inverse(X_296),multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296)) != multiply(inverse(X_296),multiply(commutator(X_171,multiply(X_296,X_296)),X_296))
| multiply(inverse(X_296),multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296)) != commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171)))
| multiply(inverse(X_296),multiply(commutator(X_171,multiply(X_296,X_296)),X_296)) = commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_296),multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296)),commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171)))) ),[0],$fot(multiply(inverse(X_296),multiply(commutator(X_171,multiply(X_296,X_296)),X_296)))]]) ).
cnf(refute_0_8016,plain,
( multiply(inverse(X_296),multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296)) != commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171)))
| multiply(inverse(X_296),multiply(commutator(X_171,multiply(X_296,X_296)),X_296)) = commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_296),multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296)),multiply(inverse(X_296),multiply(commutator(X_171,multiply(X_296,X_296)),X_296))) )],[refute_0_8014,refute_0_8015]) ).
cnf(refute_0_8017,plain,
multiply(inverse(X_296),multiply(commutator(X_171,multiply(X_296,X_296)),X_296)) = commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_296),multiply(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),X_296)),commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171)))) )],[refute_0_7980,refute_0_8016]) ).
cnf(refute_0_8018,plain,
multiply(inverse(X_296),multiply(X_296,commutator(X_171,multiply(X_296,X_296)))) = commutator(X_171,multiply(X_296,X_296)),
inference(subst,[],[refute_0_39:[bind(X_10,$fot(X_296)),bind(X_11,$fot(commutator(X_171,multiply(X_296,X_296))))]]) ).
cnf(refute_0_8019,plain,
inverse(multiply(inverse(X),commutator(X_396,multiply(inverse(X),inverse(X))))) = multiply(X,multiply(inverse(X),inverse(multiply(inverse(X),commutator(X_396,multiply(inverse(X),inverse(X))))))),
inference(subst,[],[refute_0_141:[bind(Z,$fot(inverse(multiply(inverse(X),commutator(X_396,multiply(inverse(X),inverse(X)))))))]]) ).
cnf(refute_0_8020,plain,
multiply(inverse(X),inverse(multiply(inverse(X),commutator(X_396,multiply(inverse(X),inverse(X)))))) = commutator(multiply(inverse(X),inverse(X)),X_396),
inference(subst,[],[refute_0_4807:[bind(Z,$fot(X_396)),bind(X_136,$fot(inverse(X)))]]) ).
cnf(refute_0_8021,plain,
( multiply(inverse(X),inverse(multiply(inverse(X),commutator(X_396,multiply(inverse(X),inverse(X)))))) != commutator(multiply(inverse(X),inverse(X)),X_396)
| inverse(multiply(inverse(X),commutator(X_396,multiply(inverse(X),inverse(X))))) != multiply(X,multiply(inverse(X),inverse(multiply(inverse(X),commutator(X_396,multiply(inverse(X),inverse(X)))))))
| inverse(multiply(inverse(X),commutator(X_396,multiply(inverse(X),inverse(X))))) = multiply(X,commutator(multiply(inverse(X),inverse(X)),X_396)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X),commutator(X_396,multiply(inverse(X),inverse(X))))),multiply(X,multiply(inverse(X),inverse(multiply(inverse(X),commutator(X_396,multiply(inverse(X),inverse(X)))))))) ),[1,1],$fot(commutator(multiply(inverse(X),inverse(X)),X_396))]]) ).
cnf(refute_0_8022,plain,
( inverse(multiply(inverse(X),commutator(X_396,multiply(inverse(X),inverse(X))))) != multiply(X,multiply(inverse(X),inverse(multiply(inverse(X),commutator(X_396,multiply(inverse(X),inverse(X)))))))
| inverse(multiply(inverse(X),commutator(X_396,multiply(inverse(X),inverse(X))))) = multiply(X,commutator(multiply(inverse(X),inverse(X)),X_396)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X),inverse(multiply(inverse(X),commutator(X_396,multiply(inverse(X),inverse(X)))))),commutator(multiply(inverse(X),inverse(X)),X_396)) )],[refute_0_8020,refute_0_8021]) ).
cnf(refute_0_8023,plain,
inverse(multiply(inverse(X),commutator(X_396,multiply(inverse(X),inverse(X))))) = multiply(X,commutator(multiply(inverse(X),inverse(X)),X_396)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X),commutator(X_396,multiply(inverse(X),inverse(X))))),multiply(X,multiply(inverse(X),inverse(multiply(inverse(X),commutator(X_396,multiply(inverse(X),inverse(X)))))))) )],[refute_0_8019,refute_0_8022]) ).
cnf(refute_0_8024,plain,
commutator(inverse(multiply(X,X)),X_396) = commutator(X_396,multiply(X,X)),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(multiply(X,X))),bind(X_110,$fot(X_396))]]) ).
cnf(refute_0_8025,plain,
multiply(inverse(X),inverse(X)) = inverse(multiply(X,X)),
inference(subst,[],[refute_0_257:[bind(X_10,$fot(X)),bind(X_58,$fot(X))]]) ).
cnf(refute_0_8026,plain,
commutator(multiply(inverse(X),inverse(X)),X_396) = commutator(multiply(inverse(X),inverse(X)),X_396),
introduced(tautology,[refl,[$fot(commutator(multiply(inverse(X),inverse(X)),X_396))]]) ).
cnf(refute_0_8027,plain,
( multiply(inverse(X),inverse(X)) != inverse(multiply(X,X))
| commutator(multiply(inverse(X),inverse(X)),X_396) != commutator(multiply(inverse(X),inverse(X)),X_396)
| commutator(multiply(inverse(X),inverse(X)),X_396) = commutator(inverse(multiply(X,X)),X_396) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(X),inverse(X)),X_396),commutator(multiply(inverse(X),inverse(X)),X_396)) ),[1,0],$fot(inverse(multiply(X,X)))]]) ).
cnf(refute_0_8028,plain,
( multiply(inverse(X),inverse(X)) != inverse(multiply(X,X))
| commutator(multiply(inverse(X),inverse(X)),X_396) = commutator(inverse(multiply(X,X)),X_396) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X),inverse(X)),X_396),commutator(multiply(inverse(X),inverse(X)),X_396)) )],[refute_0_8026,refute_0_8027]) ).
cnf(refute_0_8029,plain,
commutator(multiply(inverse(X),inverse(X)),X_396) = commutator(inverse(multiply(X,X)),X_396),
inference(resolve,[$cnf( $equal(multiply(inverse(X),inverse(X)),inverse(multiply(X,X))) )],[refute_0_8025,refute_0_8028]) ).
cnf(refute_0_8030,plain,
( commutator(multiply(inverse(X),inverse(X)),X_396) != commutator(inverse(multiply(X,X)),X_396)
| commutator(inverse(multiply(X,X)),X_396) != commutator(X_396,multiply(X,X))
| commutator(multiply(inverse(X),inverse(X)),X_396) = commutator(X_396,multiply(X,X)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(inverse(X),inverse(X)),X_396))),bind(Y0,$fot(commutator(inverse(multiply(X,X)),X_396))),bind(Z0,$fot(commutator(X_396,multiply(X,X))))]]) ).
cnf(refute_0_8031,plain,
( commutator(inverse(multiply(X,X)),X_396) != commutator(X_396,multiply(X,X))
| commutator(multiply(inverse(X),inverse(X)),X_396) = commutator(X_396,multiply(X,X)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X),inverse(X)),X_396),commutator(inverse(multiply(X,X)),X_396)) )],[refute_0_8029,refute_0_8030]) ).
cnf(refute_0_8032,plain,
commutator(multiply(inverse(X),inverse(X)),X_396) = commutator(X_396,multiply(X,X)),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X,X)),X_396),commutator(X_396,multiply(X,X))) )],[refute_0_8024,refute_0_8031]) ).
cnf(refute_0_8033,plain,
inverse(commutator(X_396,multiply(inverse(X),inverse(X)))) = commutator(multiply(inverse(X),inverse(X)),X_396),
inference(subst,[],[refute_0_386:[bind(X,$fot(multiply(inverse(X),inverse(X)))),bind(Y,$fot(X_396))]]) ).
cnf(refute_0_8034,plain,
( commutator(multiply(inverse(X),inverse(X)),X_396) != commutator(X_396,multiply(X,X))
| inverse(commutator(X_396,multiply(inverse(X),inverse(X)))) != commutator(multiply(inverse(X),inverse(X)),X_396)
| inverse(commutator(X_396,multiply(inverse(X),inverse(X)))) = commutator(X_396,multiply(X,X)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(commutator(X_396,multiply(inverse(X),inverse(X)))))),bind(Y0,$fot(commutator(multiply(inverse(X),inverse(X)),X_396))),bind(Z0,$fot(commutator(X_396,multiply(X,X))))]]) ).
cnf(refute_0_8035,plain,
( commutator(multiply(inverse(X),inverse(X)),X_396) != commutator(X_396,multiply(X,X))
| inverse(commutator(X_396,multiply(inverse(X),inverse(X)))) = commutator(X_396,multiply(X,X)) ),
inference(resolve,[$cnf( $equal(inverse(commutator(X_396,multiply(inverse(X),inverse(X)))),commutator(multiply(inverse(X),inverse(X)),X_396)) )],[refute_0_8033,refute_0_8034]) ).
cnf(refute_0_8036,plain,
inverse(commutator(X_396,multiply(inverse(X),inverse(X)))) = commutator(X_396,multiply(X,X)),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X),inverse(X)),X_396),commutator(X_396,multiply(X,X))) )],[refute_0_8032,refute_0_8035]) ).
cnf(refute_0_8037,plain,
multiply(inverse(commutator(X_396,multiply(inverse(X),inverse(X)))),X) = multiply(inverse(commutator(X_396,multiply(inverse(X),inverse(X)))),X),
introduced(tautology,[refl,[$fot(multiply(inverse(commutator(X_396,multiply(inverse(X),inverse(X)))),X))]]) ).
cnf(refute_0_8038,plain,
( multiply(inverse(commutator(X_396,multiply(inverse(X),inverse(X)))),X) != multiply(inverse(commutator(X_396,multiply(inverse(X),inverse(X)))),X)
| inverse(commutator(X_396,multiply(inverse(X),inverse(X)))) != commutator(X_396,multiply(X,X))
| multiply(inverse(commutator(X_396,multiply(inverse(X),inverse(X)))),X) = multiply(commutator(X_396,multiply(X,X)),X) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(commutator(X_396,multiply(inverse(X),inverse(X)))),X),multiply(inverse(commutator(X_396,multiply(inverse(X),inverse(X)))),X)) ),[1,0],$fot(commutator(X_396,multiply(X,X)))]]) ).
cnf(refute_0_8039,plain,
( inverse(commutator(X_396,multiply(inverse(X),inverse(X)))) != commutator(X_396,multiply(X,X))
| multiply(inverse(commutator(X_396,multiply(inverse(X),inverse(X)))),X) = multiply(commutator(X_396,multiply(X,X)),X) ),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X_396,multiply(inverse(X),inverse(X)))),X),multiply(inverse(commutator(X_396,multiply(inverse(X),inverse(X)))),X)) )],[refute_0_8037,refute_0_8038]) ).
cnf(refute_0_8040,plain,
multiply(inverse(commutator(X_396,multiply(inverse(X),inverse(X)))),X) = multiply(commutator(X_396,multiply(X,X)),X),
inference(resolve,[$cnf( $equal(inverse(commutator(X_396,multiply(inverse(X),inverse(X)))),commutator(X_396,multiply(X,X))) )],[refute_0_8036,refute_0_8039]) ).
cnf(refute_0_8041,plain,
inverse(multiply(inverse(X),commutator(X_396,multiply(inverse(X),inverse(X))))) = multiply(inverse(commutator(X_396,multiply(inverse(X),inverse(X)))),X),
inference(subst,[],[refute_0_294:[bind(Z,$fot(commutator(X_396,multiply(inverse(X),inverse(X))))),bind(X_61,$fot(X))]]) ).
cnf(refute_0_8042,plain,
( multiply(inverse(commutator(X_396,multiply(inverse(X),inverse(X)))),X) != multiply(commutator(X_396,multiply(X,X)),X)
| inverse(multiply(inverse(X),commutator(X_396,multiply(inverse(X),inverse(X))))) != multiply(inverse(commutator(X_396,multiply(inverse(X),inverse(X)))),X)
| inverse(multiply(inverse(X),commutator(X_396,multiply(inverse(X),inverse(X))))) = multiply(commutator(X_396,multiply(X,X)),X) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(inverse(X),commutator(X_396,multiply(inverse(X),inverse(X))))))),bind(Y0,$fot(multiply(inverse(commutator(X_396,multiply(inverse(X),inverse(X)))),X))),bind(Z0,$fot(multiply(commutator(X_396,multiply(X,X)),X)))]]) ).
cnf(refute_0_8043,plain,
( multiply(inverse(commutator(X_396,multiply(inverse(X),inverse(X)))),X) != multiply(commutator(X_396,multiply(X,X)),X)
| inverse(multiply(inverse(X),commutator(X_396,multiply(inverse(X),inverse(X))))) = multiply(commutator(X_396,multiply(X,X)),X) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X),commutator(X_396,multiply(inverse(X),inverse(X))))),multiply(inverse(commutator(X_396,multiply(inverse(X),inverse(X)))),X)) )],[refute_0_8041,refute_0_8042]) ).
cnf(refute_0_8044,plain,
inverse(multiply(inverse(X),commutator(X_396,multiply(inverse(X),inverse(X))))) = multiply(commutator(X_396,multiply(X,X)),X),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X_396,multiply(inverse(X),inverse(X)))),X),multiply(commutator(X_396,multiply(X,X)),X)) )],[refute_0_8040,refute_0_8043]) ).
cnf(refute_0_8045,plain,
( inverse(multiply(inverse(X),commutator(X_396,multiply(inverse(X),inverse(X))))) != multiply(X,commutator(multiply(inverse(X),inverse(X)),X_396))
| inverse(multiply(inverse(X),commutator(X_396,multiply(inverse(X),inverse(X))))) != multiply(commutator(X_396,multiply(X,X)),X)
| multiply(commutator(X_396,multiply(X,X)),X) = multiply(X,commutator(multiply(inverse(X),inverse(X)),X_396)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X),commutator(X_396,multiply(inverse(X),inverse(X))))),multiply(X,commutator(multiply(inverse(X),inverse(X)),X_396))) ),[0],$fot(multiply(commutator(X_396,multiply(X,X)),X))]]) ).
cnf(refute_0_8046,plain,
( inverse(multiply(inverse(X),commutator(X_396,multiply(inverse(X),inverse(X))))) != multiply(X,commutator(multiply(inverse(X),inverse(X)),X_396))
| multiply(commutator(X_396,multiply(X,X)),X) = multiply(X,commutator(multiply(inverse(X),inverse(X)),X_396)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X),commutator(X_396,multiply(inverse(X),inverse(X))))),multiply(commutator(X_396,multiply(X,X)),X)) )],[refute_0_8044,refute_0_8045]) ).
cnf(refute_0_8047,plain,
multiply(X,commutator(multiply(inverse(X),inverse(X)),X_396)) = multiply(X,commutator(multiply(inverse(X),inverse(X)),X_396)),
introduced(tautology,[refl,[$fot(multiply(X,commutator(multiply(inverse(X),inverse(X)),X_396)))]]) ).
cnf(refute_0_8048,plain,
( multiply(X,commutator(multiply(inverse(X),inverse(X)),X_396)) != multiply(X,commutator(multiply(inverse(X),inverse(X)),X_396))
| commutator(multiply(inverse(X),inverse(X)),X_396) != commutator(X_396,multiply(X,X))
| multiply(X,commutator(multiply(inverse(X),inverse(X)),X_396)) = multiply(X,commutator(X_396,multiply(X,X))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,commutator(multiply(inverse(X),inverse(X)),X_396)),multiply(X,commutator(multiply(inverse(X),inverse(X)),X_396))) ),[1,1],$fot(commutator(X_396,multiply(X,X)))]]) ).
cnf(refute_0_8049,plain,
( commutator(multiply(inverse(X),inverse(X)),X_396) != commutator(X_396,multiply(X,X))
| multiply(X,commutator(multiply(inverse(X),inverse(X)),X_396)) = multiply(X,commutator(X_396,multiply(X,X))) ),
inference(resolve,[$cnf( $equal(multiply(X,commutator(multiply(inverse(X),inverse(X)),X_396)),multiply(X,commutator(multiply(inverse(X),inverse(X)),X_396))) )],[refute_0_8047,refute_0_8048]) ).
cnf(refute_0_8050,plain,
multiply(X,commutator(multiply(inverse(X),inverse(X)),X_396)) = multiply(X,commutator(X_396,multiply(X,X))),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X),inverse(X)),X_396),commutator(X_396,multiply(X,X))) )],[refute_0_8032,refute_0_8049]) ).
cnf(refute_0_8051,plain,
( multiply(X,commutator(multiply(inverse(X),inverse(X)),X_396)) != multiply(X,commutator(X_396,multiply(X,X)))
| multiply(commutator(X_396,multiply(X,X)),X) != multiply(X,commutator(multiply(inverse(X),inverse(X)),X_396))
| multiply(commutator(X_396,multiply(X,X)),X) = multiply(X,commutator(X_396,multiply(X,X))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_396,multiply(X,X)),X),multiply(X,commutator(multiply(inverse(X),inverse(X)),X_396))) ),[1],$fot(multiply(X,commutator(X_396,multiply(X,X))))]]) ).
cnf(refute_0_8052,plain,
( multiply(commutator(X_396,multiply(X,X)),X) != multiply(X,commutator(multiply(inverse(X),inverse(X)),X_396))
| multiply(commutator(X_396,multiply(X,X)),X) = multiply(X,commutator(X_396,multiply(X,X))) ),
inference(resolve,[$cnf( $equal(multiply(X,commutator(multiply(inverse(X),inverse(X)),X_396)),multiply(X,commutator(X_396,multiply(X,X)))) )],[refute_0_8050,refute_0_8051]) ).
cnf(refute_0_8053,plain,
( inverse(multiply(inverse(X),commutator(X_396,multiply(inverse(X),inverse(X))))) != multiply(X,commutator(multiply(inverse(X),inverse(X)),X_396))
| multiply(commutator(X_396,multiply(X,X)),X) = multiply(X,commutator(X_396,multiply(X,X))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_396,multiply(X,X)),X),multiply(X,commutator(multiply(inverse(X),inverse(X)),X_396))) )],[refute_0_8046,refute_0_8052]) ).
cnf(refute_0_8054,plain,
multiply(commutator(X_396,multiply(X,X)),X) = multiply(X,commutator(X_396,multiply(X,X))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X),commutator(X_396,multiply(inverse(X),inverse(X))))),multiply(X,commutator(multiply(inverse(X),inverse(X)),X_396))) )],[refute_0_8023,refute_0_8053]) ).
cnf(refute_0_8055,plain,
multiply(commutator(X_171,multiply(X_296,X_296)),X_296) = multiply(X_296,commutator(X_171,multiply(X_296,X_296))),
inference(subst,[],[refute_0_8054:[bind(X,$fot(X_296)),bind(X_396,$fot(X_171))]]) ).
cnf(refute_0_8056,plain,
multiply(inverse(X_296),multiply(commutator(X_171,multiply(X_296,X_296)),X_296)) = multiply(inverse(X_296),multiply(commutator(X_171,multiply(X_296,X_296)),X_296)),
introduced(tautology,[refl,[$fot(multiply(inverse(X_296),multiply(commutator(X_171,multiply(X_296,X_296)),X_296)))]]) ).
cnf(refute_0_8057,plain,
( multiply(commutator(X_171,multiply(X_296,X_296)),X_296) != multiply(X_296,commutator(X_171,multiply(X_296,X_296)))
| multiply(inverse(X_296),multiply(commutator(X_171,multiply(X_296,X_296)),X_296)) != multiply(inverse(X_296),multiply(commutator(X_171,multiply(X_296,X_296)),X_296))
| multiply(inverse(X_296),multiply(commutator(X_171,multiply(X_296,X_296)),X_296)) = multiply(inverse(X_296),multiply(X_296,commutator(X_171,multiply(X_296,X_296)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_296),multiply(commutator(X_171,multiply(X_296,X_296)),X_296)),multiply(inverse(X_296),multiply(commutator(X_171,multiply(X_296,X_296)),X_296))) ),[1,1],$fot(multiply(X_296,commutator(X_171,multiply(X_296,X_296))))]]) ).
cnf(refute_0_8058,plain,
( multiply(commutator(X_171,multiply(X_296,X_296)),X_296) != multiply(X_296,commutator(X_171,multiply(X_296,X_296)))
| multiply(inverse(X_296),multiply(commutator(X_171,multiply(X_296,X_296)),X_296)) = multiply(inverse(X_296),multiply(X_296,commutator(X_171,multiply(X_296,X_296)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_296),multiply(commutator(X_171,multiply(X_296,X_296)),X_296)),multiply(inverse(X_296),multiply(commutator(X_171,multiply(X_296,X_296)),X_296))) )],[refute_0_8056,refute_0_8057]) ).
cnf(refute_0_8059,plain,
multiply(inverse(X_296),multiply(commutator(X_171,multiply(X_296,X_296)),X_296)) = multiply(inverse(X_296),multiply(X_296,commutator(X_171,multiply(X_296,X_296)))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_171,multiply(X_296,X_296)),X_296),multiply(X_296,commutator(X_171,multiply(X_296,X_296)))) )],[refute_0_8055,refute_0_8058]) ).
cnf(refute_0_8060,plain,
( multiply(inverse(X_296),multiply(X_296,commutator(X_171,multiply(X_296,X_296)))) != commutator(X_171,multiply(X_296,X_296))
| multiply(inverse(X_296),multiply(commutator(X_171,multiply(X_296,X_296)),X_296)) != multiply(inverse(X_296),multiply(X_296,commutator(X_171,multiply(X_296,X_296))))
| multiply(inverse(X_296),multiply(commutator(X_171,multiply(X_296,X_296)),X_296)) = commutator(X_171,multiply(X_296,X_296)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(X_296),multiply(commutator(X_171,multiply(X_296,X_296)),X_296)))),bind(Y0,$fot(multiply(inverse(X_296),multiply(X_296,commutator(X_171,multiply(X_296,X_296)))))),bind(Z0,$fot(commutator(X_171,multiply(X_296,X_296))))]]) ).
cnf(refute_0_8061,plain,
( multiply(inverse(X_296),multiply(X_296,commutator(X_171,multiply(X_296,X_296)))) != commutator(X_171,multiply(X_296,X_296))
| multiply(inverse(X_296),multiply(commutator(X_171,multiply(X_296,X_296)),X_296)) = commutator(X_171,multiply(X_296,X_296)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_296),multiply(commutator(X_171,multiply(X_296,X_296)),X_296)),multiply(inverse(X_296),multiply(X_296,commutator(X_171,multiply(X_296,X_296))))) )],[refute_0_8059,refute_0_8060]) ).
cnf(refute_0_8062,plain,
multiply(inverse(X_296),multiply(commutator(X_171,multiply(X_296,X_296)),X_296)) = commutator(X_171,multiply(X_296,X_296)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_296),multiply(X_296,commutator(X_171,multiply(X_296,X_296)))),commutator(X_171,multiply(X_296,X_296))) )],[refute_0_8018,refute_0_8061]) ).
cnf(refute_0_8063,plain,
( multiply(inverse(X_296),multiply(commutator(X_171,multiply(X_296,X_296)),X_296)) != commutator(X_171,multiply(X_296,X_296))
| multiply(inverse(X_296),multiply(commutator(X_171,multiply(X_296,X_296)),X_296)) != commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171)))
| commutator(X_171,multiply(X_296,X_296)) = commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_296),multiply(commutator(X_171,multiply(X_296,X_296)),X_296)),commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171)))) ),[0],$fot(commutator(X_171,multiply(X_296,X_296)))]]) ).
cnf(refute_0_8064,plain,
( multiply(inverse(X_296),multiply(commutator(X_171,multiply(X_296,X_296)),X_296)) != commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171)))
| commutator(X_171,multiply(X_296,X_296)) = commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_296),multiply(commutator(X_171,multiply(X_296,X_296)),X_296)),commutator(X_171,multiply(X_296,X_296))) )],[refute_0_8062,refute_0_8063]) ).
cnf(refute_0_8065,plain,
commutator(X_171,multiply(X_296,X_296)) = commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_296),multiply(commutator(X_171,multiply(X_296,X_296)),X_296)),commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171)))) )],[refute_0_8017,refute_0_8064]) ).
cnf(refute_0_8066,plain,
( commutator(X_171,multiply(X_296,X_296)) != commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171)))
| commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))) = commutator(X_171,multiply(X_296,X_296)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_171,multiply(X_296,X_296)))),bind(Y0,$fot(commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171)))))]]) ).
cnf(refute_0_8067,plain,
commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171))) = commutator(X_171,multiply(X_296,X_296)),
inference(resolve,[$cnf( $equal(commutator(X_171,multiply(X_296,X_296)),commutator(multiply(X_171,X_296),multiply(X_296,inverse(X_171)))) )],[refute_0_8065,refute_0_8066]) ).
cnf(refute_0_8068,plain,
commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))) = commutator(X_175,multiply(X_58,X_58)),
inference(subst,[],[refute_0_8067:[bind(X_171,$fot(X_175)),bind(X_296,$fot(X_58))]]) ).
cnf(refute_0_8069,plain,
multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))) = multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))),
introduced(tautology,[refl,[$fot(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))]]) ).
cnf(refute_0_8070,plain,
( multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))) != multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))))
| commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))) != commutator(X_175,multiply(X_58,X_58))
| multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))) = multiply(X_58,commutator(X_175,multiply(X_58,X_58))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))),multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))))) ),[1,1],$fot(commutator(X_175,multiply(X_58,X_58)))]]) ).
cnf(refute_0_8071,plain,
( commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))) != commutator(X_175,multiply(X_58,X_58))
| multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))) = multiply(X_58,commutator(X_175,multiply(X_58,X_58))) ),
inference(resolve,[$cnf( $equal(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))),multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))))) )],[refute_0_8069,refute_0_8070]) ).
cnf(refute_0_8072,plain,
multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))) = multiply(X_58,commutator(X_175,multiply(X_58,X_58))),
inference(resolve,[$cnf( $equal(commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))),commutator(X_175,multiply(X_58,X_58))) )],[refute_0_8068,refute_0_8071]) ).
cnf(refute_0_8073,plain,
inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))))) = inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))))))]]) ).
cnf(refute_0_8074,plain,
( multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))) != multiply(X_58,commutator(X_175,multiply(X_58,X_58)))
| inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))))) != inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))
| inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))))) = inverse(multiply(X_58,commutator(X_175,multiply(X_58,X_58)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))))),inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))) ),[1,0],$fot(multiply(X_58,commutator(X_175,multiply(X_58,X_58))))]]) ).
cnf(refute_0_8075,plain,
( multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))) != multiply(X_58,commutator(X_175,multiply(X_58,X_58)))
| inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))))) = inverse(multiply(X_58,commutator(X_175,multiply(X_58,X_58)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))))),inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))) )],[refute_0_8073,refute_0_8074]) ).
cnf(refute_0_8076,plain,
inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))))) = inverse(multiply(X_58,commutator(X_175,multiply(X_58,X_58)))),
inference(resolve,[$cnf( $equal(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))),multiply(X_58,commutator(X_175,multiply(X_58,X_58)))) )],[refute_0_8072,refute_0_8075]) ).
cnf(refute_0_8077,plain,
multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))) = multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))),
introduced(tautology,[refl,[$fot(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))))]]) ).
cnf(refute_0_8078,plain,
( multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))) != multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))))))
| inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))))) != inverse(multiply(X_58,commutator(X_175,multiply(X_58,X_58))))
| multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))) = multiply(X_58,inverse(multiply(X_58,commutator(X_175,multiply(X_58,X_58))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))),multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))))))) ),[1,1],$fot(inverse(multiply(X_58,commutator(X_175,multiply(X_58,X_58)))))]]) ).
cnf(refute_0_8079,plain,
( inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))))) != inverse(multiply(X_58,commutator(X_175,multiply(X_58,X_58))))
| multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))) = multiply(X_58,inverse(multiply(X_58,commutator(X_175,multiply(X_58,X_58))))) ),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))),multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))))))) )],[refute_0_8077,refute_0_8078]) ).
cnf(refute_0_8080,plain,
multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))) = multiply(X_58,inverse(multiply(X_58,commutator(X_175,multiply(X_58,X_58))))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175))))),inverse(multiply(X_58,commutator(X_175,multiply(X_58,X_58))))) )],[refute_0_8076,refute_0_8079]) ).
cnf(refute_0_8081,plain,
( multiply(X_58,inverse(multiply(X_58,commutator(X_175,multiply(X_58,X_58))))) != commutator(multiply(X_58,X_58),X_175)
| multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))) != multiply(X_58,inverse(multiply(X_58,commutator(X_175,multiply(X_58,X_58)))))
| multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))) = commutator(multiply(X_58,X_58),X_175) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))))),bind(Y0,$fot(multiply(X_58,inverse(multiply(X_58,commutator(X_175,multiply(X_58,X_58))))))),bind(Z0,$fot(commutator(multiply(X_58,X_58),X_175)))]]) ).
cnf(refute_0_8082,plain,
( multiply(X_58,inverse(multiply(X_58,commutator(X_175,multiply(X_58,X_58))))) != commutator(multiply(X_58,X_58),X_175)
| multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))) = commutator(multiply(X_58,X_58),X_175) ),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))),multiply(X_58,inverse(multiply(X_58,commutator(X_175,multiply(X_58,X_58)))))) )],[refute_0_8080,refute_0_8081]) ).
cnf(refute_0_8083,plain,
multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))) = commutator(multiply(X_58,X_58),X_175),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,commutator(X_175,multiply(X_58,X_58))))),commutator(multiply(X_58,X_58),X_175)) )],[refute_0_7969,refute_0_8082]) ).
cnf(refute_0_8084,plain,
( multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))) != commutator(multiply(X_175,X_58),multiply(X_175,inverse(X_58)))
| multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))) != commutator(multiply(X_58,X_58),X_175)
| commutator(multiply(X_58,X_58),X_175) = commutator(multiply(X_175,X_58),multiply(X_175,inverse(X_58))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))),commutator(multiply(X_175,X_58),multiply(X_175,inverse(X_58)))) ),[0],$fot(commutator(multiply(X_58,X_58),X_175))]]) ).
cnf(refute_0_8085,plain,
( multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))) != commutator(multiply(X_175,X_58),multiply(X_175,inverse(X_58)))
| commutator(multiply(X_58,X_58),X_175) = commutator(multiply(X_175,X_58),multiply(X_175,inverse(X_58))) ),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))),commutator(multiply(X_58,X_58),X_175)) )],[refute_0_8083,refute_0_8084]) ).
cnf(refute_0_8086,plain,
commutator(multiply(X_58,X_58),X_175) = commutator(multiply(X_175,X_58),multiply(X_175,inverse(X_58))),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_175,X_58),multiply(X_58,inverse(X_175)))))),commutator(multiply(X_175,X_58),multiply(X_175,inverse(X_58)))) )],[refute_0_7964,refute_0_8085]) ).
cnf(refute_0_8087,plain,
( commutator(multiply(X_58,X_58),X_175) != commutator(multiply(X_175,X_58),multiply(X_175,inverse(X_58)))
| commutator(multiply(X_175,X_58),multiply(X_175,inverse(X_58))) = commutator(multiply(X_58,X_58),X_175) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(multiply(X_58,X_58),X_175))),bind(Y0,$fot(commutator(multiply(X_175,X_58),multiply(X_175,inverse(X_58)))))]]) ).
cnf(refute_0_8088,plain,
commutator(multiply(X_175,X_58),multiply(X_175,inverse(X_58))) = commutator(multiply(X_58,X_58),X_175),
inference(resolve,[$cnf( $equal(commutator(multiply(X_58,X_58),X_175),commutator(multiply(X_175,X_58),multiply(X_175,inverse(X_58)))) )],[refute_0_8086,refute_0_8087]) ).
cnf(refute_0_8089,plain,
commutator(multiply(X_10,X_397),multiply(X_10,inverse(X_397))) = commutator(multiply(X_397,X_397),X_10),
inference(subst,[],[refute_0_8088:[bind(X_175,$fot(X_10)),bind(X_58,$fot(X_397))]]) ).
cnf(refute_0_8090,plain,
( commutator(multiply(X_10,X_397),multiply(X_10,inverse(X_397))) != commutator(multiply(X_397,X_397),X_10)
| commutator(multiply(X_10,X_397),multiply(X_10,inverse(X_397))) != commutator(multiply(X_397,X_397),multiply(X_10,X_397))
| commutator(multiply(X_397,X_397),X_10) = commutator(multiply(X_397,X_397),multiply(X_10,X_397)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_10,X_397),multiply(X_10,inverse(X_397))),commutator(multiply(X_397,X_397),multiply(X_10,X_397))) ),[0],$fot(commutator(multiply(X_397,X_397),X_10))]]) ).
cnf(refute_0_8091,plain,
( commutator(multiply(X_10,X_397),multiply(X_10,inverse(X_397))) != commutator(multiply(X_397,X_397),multiply(X_10,X_397))
| commutator(multiply(X_397,X_397),X_10) = commutator(multiply(X_397,X_397),multiply(X_10,X_397)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_10,X_397),multiply(X_10,inverse(X_397))),commutator(multiply(X_397,X_397),X_10)) )],[refute_0_8089,refute_0_8090]) ).
cnf(refute_0_8092,plain,
commutator(multiply(X_397,X_397),X_10) = commutator(multiply(X_397,X_397),multiply(X_10,X_397)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_10,X_397),multiply(X_10,inverse(X_397))),commutator(multiply(X_397,X_397),multiply(X_10,X_397))) )],[refute_0_7968,refute_0_8091]) ).
cnf(refute_0_8093,plain,
( commutator(multiply(X_397,X_397),X_10) != commutator(multiply(X_397,X_397),multiply(X_10,X_397))
| commutator(multiply(X_397,X_397),multiply(X_10,X_397)) = commutator(multiply(X_397,X_397),X_10) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(multiply(X_397,X_397),X_10))),bind(Y0,$fot(commutator(multiply(X_397,X_397),multiply(X_10,X_397))))]]) ).
cnf(refute_0_8094,plain,
commutator(multiply(X_397,X_397),multiply(X_10,X_397)) = commutator(multiply(X_397,X_397),X_10),
inference(resolve,[$cnf( $equal(commutator(multiply(X_397,X_397),X_10),commutator(multiply(X_397,X_397),multiply(X_10,X_397))) )],[refute_0_8092,refute_0_8093]) ).
cnf(refute_0_8095,plain,
commutator(multiply(X_262,X_262),multiply(X_58,X_262)) = commutator(multiply(X_262,X_262),X_58),
inference(subst,[],[refute_0_8094:[bind(X_10,$fot(X_58)),bind(X_397,$fot(X_262))]]) ).
cnf(refute_0_8096,plain,
multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))) = multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))),
introduced(tautology,[refl,[$fot(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))))]]) ).
cnf(refute_0_8097,plain,
( multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))) != multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262)))
| commutator(multiply(X_262,X_262),multiply(X_58,X_262)) != commutator(multiply(X_262,X_262),X_58)
| multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))) = multiply(X_58,commutator(multiply(X_262,X_262),X_58)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))),multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262)))) ),[1,1],$fot(commutator(multiply(X_262,X_262),X_58))]]) ).
cnf(refute_0_8098,plain,
( commutator(multiply(X_262,X_262),multiply(X_58,X_262)) != commutator(multiply(X_262,X_262),X_58)
| multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))) = multiply(X_58,commutator(multiply(X_262,X_262),X_58)) ),
inference(resolve,[$cnf( $equal(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))),multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262)))) )],[refute_0_8096,refute_0_8097]) ).
cnf(refute_0_8099,plain,
multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))) = multiply(X_58,commutator(multiply(X_262,X_262),X_58)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_262,X_262),multiply(X_58,X_262)),commutator(multiply(X_262,X_262),X_58)) )],[refute_0_8095,refute_0_8098]) ).
cnf(refute_0_8100,plain,
inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262)))) = inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262)))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262)))))]]) ).
cnf(refute_0_8101,plain,
( multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))) != multiply(X_58,commutator(multiply(X_262,X_262),X_58))
| inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262)))) != inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))))
| inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262)))) = inverse(multiply(X_58,commutator(multiply(X_262,X_262),X_58))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262)))),inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))))) ),[1,0],$fot(multiply(X_58,commutator(multiply(X_262,X_262),X_58)))]]) ).
cnf(refute_0_8102,plain,
( multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))) != multiply(X_58,commutator(multiply(X_262,X_262),X_58))
| inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262)))) = inverse(multiply(X_58,commutator(multiply(X_262,X_262),X_58))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262)))),inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))))) )],[refute_0_8100,refute_0_8101]) ).
cnf(refute_0_8103,plain,
inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262)))) = inverse(multiply(X_58,commutator(multiply(X_262,X_262),X_58))),
inference(resolve,[$cnf( $equal(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))),multiply(X_58,commutator(multiply(X_262,X_262),X_58))) )],[refute_0_8099,refute_0_8102]) ).
cnf(refute_0_8104,plain,
multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))))) = multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))))),
introduced(tautology,[refl,[$fot(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))))))]]) ).
cnf(refute_0_8105,plain,
( multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))))) != multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262)))))
| inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262)))) != inverse(multiply(X_58,commutator(multiply(X_262,X_262),X_58)))
| multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))))) = multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),X_58)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))))),multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262)))))) ),[1,1],$fot(inverse(multiply(X_58,commutator(multiply(X_262,X_262),X_58))))]]) ).
cnf(refute_0_8106,plain,
( inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262)))) != inverse(multiply(X_58,commutator(multiply(X_262,X_262),X_58)))
| multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))))) = multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),X_58)))) ),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))))),multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262)))))) )],[refute_0_8104,refute_0_8105]) ).
cnf(refute_0_8107,plain,
multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))))) = multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),X_58)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262)))),inverse(multiply(X_58,commutator(multiply(X_262,X_262),X_58)))) )],[refute_0_8103,refute_0_8106]) ).
cnf(refute_0_8108,plain,
( multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),X_58)))) != commutator(X_58,multiply(X_262,X_262))
| multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))))) != multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),X_58))))
| multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))))) = commutator(X_58,multiply(X_262,X_262)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))))))),bind(Y0,$fot(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),X_58)))))),bind(Z0,$fot(commutator(X_58,multiply(X_262,X_262))))]]) ).
cnf(refute_0_8109,plain,
( multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),X_58)))) != commutator(X_58,multiply(X_262,X_262))
| multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))))) = commutator(X_58,multiply(X_262,X_262)) ),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))))),multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),X_58))))) )],[refute_0_8107,refute_0_8108]) ).
cnf(refute_0_8110,plain,
multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))))) = commutator(X_58,multiply(X_262,X_262)),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),X_58)))),commutator(X_58,multiply(X_262,X_262))) )],[refute_0_7931,refute_0_8109]) ).
cnf(refute_0_8111,plain,
( multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))))) != commutator(X_58,multiply(X_262,X_262))
| multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))))) != commutator(multiply(X_58,X_262),multiply(X_262,X_262))
| commutator(X_58,multiply(X_262,X_262)) = commutator(multiply(X_58,X_262),multiply(X_262,X_262)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))))),commutator(multiply(X_58,X_262),multiply(X_262,X_262))) ),[0],$fot(commutator(X_58,multiply(X_262,X_262)))]]) ).
cnf(refute_0_8112,plain,
( multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))))) != commutator(multiply(X_58,X_262),multiply(X_262,X_262))
| commutator(X_58,multiply(X_262,X_262)) = commutator(multiply(X_58,X_262),multiply(X_262,X_262)) ),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))))),commutator(X_58,multiply(X_262,X_262))) )],[refute_0_8110,refute_0_8111]) ).
cnf(refute_0_8113,plain,
commutator(X_58,multiply(X_262,X_262)) = commutator(multiply(X_58,X_262),multiply(X_262,X_262)),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,commutator(multiply(X_262,X_262),multiply(X_58,X_262))))),commutator(multiply(X_58,X_262),multiply(X_262,X_262))) )],[refute_0_7726,refute_0_8112]) ).
cnf(refute_0_8114,plain,
( commutator(X_58,multiply(X_262,X_262)) != commutator(multiply(X_58,X_262),multiply(X_262,X_262))
| commutator(multiply(X_58,X_262),multiply(X_262,X_262)) = commutator(X_58,multiply(X_262,X_262)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_58,multiply(X_262,X_262)))),bind(Y0,$fot(commutator(multiply(X_58,X_262),multiply(X_262,X_262))))]]) ).
cnf(refute_0_8115,plain,
commutator(multiply(X_58,X_262),multiply(X_262,X_262)) = commutator(X_58,multiply(X_262,X_262)),
inference(resolve,[$cnf( $equal(commutator(X_58,multiply(X_262,X_262)),commutator(multiply(X_58,X_262),multiply(X_262,X_262))) )],[refute_0_8113,refute_0_8114]) ).
cnf(refute_0_8116,plain,
commutator(multiply(inverse(X_58),X_267),multiply(X_267,X_267)) = commutator(inverse(X_58),multiply(X_267,X_267)),
inference(subst,[],[refute_0_8115:[bind(X_262,$fot(X_267)),bind(X_58,$fot(inverse(X_58)))]]) ).
cnf(refute_0_8117,plain,
( commutator(multiply(inverse(X_58),X_267),multiply(X_267,X_267)) != commutator(inverse(X_58),multiply(X_267,X_267))
| commutator(inverse(X_58),multiply(X_267,X_267)) != commutator(multiply(X_267,X_267),X_58)
| commutator(multiply(inverse(X_58),X_267),multiply(X_267,X_267)) = commutator(multiply(X_267,X_267),X_58) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(inverse(X_58),X_267),multiply(X_267,X_267)))),bind(Y0,$fot(commutator(inverse(X_58),multiply(X_267,X_267)))),bind(Z0,$fot(commutator(multiply(X_267,X_267),X_58)))]]) ).
cnf(refute_0_8118,plain,
( commutator(inverse(X_58),multiply(X_267,X_267)) != commutator(multiply(X_267,X_267),X_58)
| commutator(multiply(inverse(X_58),X_267),multiply(X_267,X_267)) = commutator(multiply(X_267,X_267),X_58) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_58),X_267),multiply(X_267,X_267)),commutator(inverse(X_58),multiply(X_267,X_267))) )],[refute_0_8116,refute_0_8117]) ).
cnf(refute_0_8119,plain,
commutator(multiply(inverse(X_58),X_267),multiply(X_267,X_267)) = commutator(multiply(X_267,X_267),X_58),
inference(resolve,[$cnf( $equal(commutator(inverse(X_58),multiply(X_267,X_267)),commutator(multiply(X_267,X_267),X_58)) )],[refute_0_7930,refute_0_8118]) ).
cnf(refute_0_8120,plain,
( commutator(multiply(inverse(X_58),X_267),multiply(X_267,X_267)) != commutator(multiply(X_267,X_267),X_58)
| commutator(multiply(inverse(X_58),X_267),multiply(X_267,X_267)) != commutator(multiply(X_267,X_267),multiply(X_267,X_58))
| commutator(multiply(X_267,X_267),X_58) = commutator(multiply(X_267,X_267),multiply(X_267,X_58)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(X_58),X_267),multiply(X_267,X_267)),commutator(multiply(X_267,X_267),multiply(X_267,X_58))) ),[0],$fot(commutator(multiply(X_267,X_267),X_58))]]) ).
cnf(refute_0_8121,plain,
( commutator(multiply(inverse(X_58),X_267),multiply(X_267,X_267)) != commutator(multiply(X_267,X_267),multiply(X_267,X_58))
| commutator(multiply(X_267,X_267),X_58) = commutator(multiply(X_267,X_267),multiply(X_267,X_58)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_58),X_267),multiply(X_267,X_267)),commutator(multiply(X_267,X_267),X_58)) )],[refute_0_8119,refute_0_8120]) ).
cnf(refute_0_8122,plain,
commutator(multiply(X_267,X_267),X_58) = commutator(multiply(X_267,X_267),multiply(X_267,X_58)),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_58),X_267),multiply(X_267,X_267)),commutator(multiply(X_267,X_267),multiply(X_267,X_58))) )],[refute_0_7929,refute_0_8121]) ).
cnf(refute_0_8123,plain,
( commutator(multiply(X_267,X_267),X_58) != commutator(multiply(X_267,X_267),multiply(X_267,X_58))
| commutator(multiply(X_267,X_267),multiply(X_267,X_58)) = commutator(multiply(X_267,X_267),X_58) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(multiply(X_267,X_267),X_58))),bind(Y0,$fot(commutator(multiply(X_267,X_267),multiply(X_267,X_58))))]]) ).
cnf(refute_0_8124,plain,
commutator(multiply(X_267,X_267),multiply(X_267,X_58)) = commutator(multiply(X_267,X_267),X_58),
inference(resolve,[$cnf( $equal(commutator(multiply(X_267,X_267),X_58),commutator(multiply(X_267,X_267),multiply(X_267,X_58))) )],[refute_0_8122,refute_0_8123]) ).
cnf(refute_0_8125,plain,
commutator(multiply(X_267,X_267),multiply(X_267,X_90)) = commutator(multiply(X_267,X_267),X_90),
inference(subst,[],[refute_0_8124:[bind(X_58,$fot(X_90))]]) ).
cnf(refute_0_8126,plain,
multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))) = multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))),
introduced(tautology,[refl,[$fot(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))))]]) ).
cnf(refute_0_8127,plain,
( multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))) != multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90)))
| commutator(multiply(X_267,X_267),multiply(X_267,X_90)) != commutator(multiply(X_267,X_267),X_90)
| multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))) = multiply(X_90,commutator(multiply(X_267,X_267),X_90)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))),multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90)))) ),[1,1],$fot(commutator(multiply(X_267,X_267),X_90))]]) ).
cnf(refute_0_8128,plain,
( commutator(multiply(X_267,X_267),multiply(X_267,X_90)) != commutator(multiply(X_267,X_267),X_90)
| multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))) = multiply(X_90,commutator(multiply(X_267,X_267),X_90)) ),
inference(resolve,[$cnf( $equal(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))),multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90)))) )],[refute_0_8126,refute_0_8127]) ).
cnf(refute_0_8129,plain,
multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))) = multiply(X_90,commutator(multiply(X_267,X_267),X_90)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_267,X_267),multiply(X_267,X_90)),commutator(multiply(X_267,X_267),X_90)) )],[refute_0_8125,refute_0_8128]) ).
cnf(refute_0_8130,plain,
inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90)))) = inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90)))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90)))))]]) ).
cnf(refute_0_8131,plain,
( multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))) != multiply(X_90,commutator(multiply(X_267,X_267),X_90))
| inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90)))) != inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))))
| inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90)))) = inverse(multiply(X_90,commutator(multiply(X_267,X_267),X_90))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90)))),inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))))) ),[1,0],$fot(multiply(X_90,commutator(multiply(X_267,X_267),X_90)))]]) ).
cnf(refute_0_8132,plain,
( multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))) != multiply(X_90,commutator(multiply(X_267,X_267),X_90))
| inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90)))) = inverse(multiply(X_90,commutator(multiply(X_267,X_267),X_90))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90)))),inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))))) )],[refute_0_8130,refute_0_8131]) ).
cnf(refute_0_8133,plain,
inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90)))) = inverse(multiply(X_90,commutator(multiply(X_267,X_267),X_90))),
inference(resolve,[$cnf( $equal(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))),multiply(X_90,commutator(multiply(X_267,X_267),X_90))) )],[refute_0_8129,refute_0_8132]) ).
cnf(refute_0_8134,plain,
multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))))) = multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))))),
introduced(tautology,[refl,[$fot(multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))))))]]) ).
cnf(refute_0_8135,plain,
( multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))))) != multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90)))))
| inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90)))) != inverse(multiply(X_90,commutator(multiply(X_267,X_267),X_90)))
| multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))))) = multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),X_90)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))))),multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90)))))) ),[1,1],$fot(inverse(multiply(X_90,commutator(multiply(X_267,X_267),X_90))))]]) ).
cnf(refute_0_8136,plain,
( inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90)))) != inverse(multiply(X_90,commutator(multiply(X_267,X_267),X_90)))
| multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))))) = multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),X_90)))) ),
inference(resolve,[$cnf( $equal(multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))))),multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90)))))) )],[refute_0_8134,refute_0_8135]) ).
cnf(refute_0_8137,plain,
multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))))) = multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),X_90)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90)))),inverse(multiply(X_90,commutator(multiply(X_267,X_267),X_90)))) )],[refute_0_8133,refute_0_8136]) ).
cnf(refute_0_8138,plain,
( multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),X_90)))) != commutator(X_90,multiply(X_267,X_267))
| multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))))) != multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),X_90))))
| multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))))) = commutator(X_90,multiply(X_267,X_267)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))))))),bind(Y0,$fot(multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),X_90)))))),bind(Z0,$fot(commutator(X_90,multiply(X_267,X_267))))]]) ).
cnf(refute_0_8139,plain,
( multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),X_90)))) != commutator(X_90,multiply(X_267,X_267))
| multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))))) = commutator(X_90,multiply(X_267,X_267)) ),
inference(resolve,[$cnf( $equal(multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))))),multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),X_90))))) )],[refute_0_8137,refute_0_8138]) ).
cnf(refute_0_8140,plain,
multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))))) = commutator(X_90,multiply(X_267,X_267)),
inference(resolve,[$cnf( $equal(multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),X_90)))),commutator(X_90,multiply(X_267,X_267))) )],[refute_0_7877,refute_0_8139]) ).
cnf(refute_0_8141,plain,
( multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))))) != commutator(X_90,multiply(X_267,X_267))
| multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))))) != commutator(multiply(X_267,X_90),multiply(X_267,X_267))
| commutator(X_90,multiply(X_267,X_267)) = commutator(multiply(X_267,X_90),multiply(X_267,X_267)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))))),commutator(multiply(X_267,X_90),multiply(X_267,X_267))) ),[0],$fot(commutator(X_90,multiply(X_267,X_267)))]]) ).
cnf(refute_0_8142,plain,
( multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))))) != commutator(multiply(X_267,X_90),multiply(X_267,X_267))
| commutator(X_90,multiply(X_267,X_267)) = commutator(multiply(X_267,X_90),multiply(X_267,X_267)) ),
inference(resolve,[$cnf( $equal(multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))))),commutator(X_90,multiply(X_267,X_267))) )],[refute_0_8140,refute_0_8141]) ).
cnf(refute_0_8143,plain,
commutator(X_90,multiply(X_267,X_267)) = commutator(multiply(X_267,X_90),multiply(X_267,X_267)),
inference(resolve,[$cnf( $equal(multiply(X_90,inverse(multiply(X_90,commutator(multiply(X_267,X_267),multiply(X_267,X_90))))),commutator(multiply(X_267,X_90),multiply(X_267,X_267))) )],[refute_0_7876,refute_0_8142]) ).
cnf(refute_0_8144,plain,
( commutator(X_90,multiply(X_267,X_267)) != commutator(multiply(X_267,X_90),multiply(X_267,X_267))
| commutator(multiply(X_267,X_90),multiply(X_267,X_267)) = commutator(X_90,multiply(X_267,X_267)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_90,multiply(X_267,X_267)))),bind(Y0,$fot(commutator(multiply(X_267,X_90),multiply(X_267,X_267))))]]) ).
cnf(refute_0_8145,plain,
commutator(multiply(X_267,X_90),multiply(X_267,X_267)) = commutator(X_90,multiply(X_267,X_267)),
inference(resolve,[$cnf( $equal(commutator(X_90,multiply(X_267,X_267)),commutator(multiply(X_267,X_90),multiply(X_267,X_267))) )],[refute_0_8143,refute_0_8144]) ).
cnf(refute_0_8146,plain,
commutator(multiply(X_10,X_161),multiply(X_10,X_10)) = commutator(X_161,multiply(X_10,X_10)),
inference(subst,[],[refute_0_8145:[bind(X_267,$fot(X_10)),bind(X_90,$fot(X_161))]]) ).
cnf(refute_0_8147,plain,
( commutator(multiply(X_10,X_161),multiply(X_10,X_10)) != commutator(X_161,multiply(X_10,X_10))
| commutator(multiply(X_161,X_161),X_10) != commutator(multiply(X_10,X_161),multiply(X_10,X_10))
| commutator(multiply(X_161,X_161),X_10) = commutator(X_161,multiply(X_10,X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_161,X_161),X_10),commutator(multiply(X_10,X_161),multiply(X_10,X_10))) ),[1],$fot(commutator(X_161,multiply(X_10,X_10)))]]) ).
cnf(refute_0_8148,plain,
( commutator(multiply(X_161,X_161),X_10) != commutator(multiply(X_10,X_161),multiply(X_10,X_10))
| commutator(multiply(X_161,X_161),X_10) = commutator(X_161,multiply(X_10,X_10)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_10,X_161),multiply(X_10,X_10)),commutator(X_161,multiply(X_10,X_10))) )],[refute_0_8146,refute_0_8147]) ).
cnf(refute_0_8149,plain,
commutator(multiply(X_161,X_161),X_10) = commutator(X_161,multiply(X_10,X_10)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_161,X_161),X_10),commutator(multiply(X_10,X_161),multiply(X_10,X_10))) )],[refute_0_7627,refute_0_8148]) ).
cnf(refute_0_8150,plain,
( commutator(multiply(X_161,X_161),X_10) != commutator(X_161,multiply(X_10,X_10))
| commutator(X_161,multiply(X_10,X_10)) = commutator(multiply(X_161,X_161),X_10) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(multiply(X_161,X_161),X_10))),bind(Y0,$fot(commutator(X_161,multiply(X_10,X_10))))]]) ).
cnf(refute_0_8151,plain,
commutator(X_161,multiply(X_10,X_10)) = commutator(multiply(X_161,X_161),X_10),
inference(resolve,[$cnf( $equal(commutator(multiply(X_161,X_161),X_10),commutator(X_161,multiply(X_10,X_10))) )],[refute_0_8149,refute_0_8150]) ).
cnf(refute_0_8152,plain,
commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),multiply(inverse(multiply(X_432,X_16)),X_16))) = commutator(multiply(X_432,X_432),multiply(inverse(multiply(X_432,X_16)),X_16)),
inference(subst,[],[refute_0_8151:[bind(X_10,$fot(multiply(inverse(multiply(X_432,X_16)),X_16))),bind(X_161,$fot(X_432))]]) ).
cnf(refute_0_8153,plain,
( commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),multiply(inverse(multiply(X_432,X_16)),X_16))) != commutator(multiply(X_432,X_432),multiply(inverse(multiply(X_432,X_16)),X_16))
| commutator(multiply(X_432,X_432),multiply(inverse(multiply(X_432,X_16)),X_16)) != multiply(commutator(X_432,multiply(X_16,X_432)),commutator(X_16,X_432))
| commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),multiply(inverse(multiply(X_432,X_16)),X_16))) = multiply(commutator(X_432,multiply(X_16,X_432)),commutator(X_16,X_432)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),multiply(inverse(multiply(X_432,X_16)),X_16))))),bind(Y0,$fot(commutator(multiply(X_432,X_432),multiply(inverse(multiply(X_432,X_16)),X_16)))),bind(Z0,$fot(multiply(commutator(X_432,multiply(X_16,X_432)),commutator(X_16,X_432))))]]) ).
cnf(refute_0_8154,plain,
( commutator(multiply(X_432,X_432),multiply(inverse(multiply(X_432,X_16)),X_16)) != multiply(commutator(X_432,multiply(X_16,X_432)),commutator(X_16,X_432))
| commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),multiply(inverse(multiply(X_432,X_16)),X_16))) = multiply(commutator(X_432,multiply(X_16,X_432)),commutator(X_16,X_432)) ),
inference(resolve,[$cnf( $equal(commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),multiply(inverse(multiply(X_432,X_16)),X_16))),commutator(multiply(X_432,X_432),multiply(inverse(multiply(X_432,X_16)),X_16))) )],[refute_0_8152,refute_0_8153]) ).
cnf(refute_0_8155,plain,
commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),multiply(inverse(multiply(X_432,X_16)),X_16))) = multiply(commutator(X_432,multiply(X_16,X_432)),commutator(X_16,X_432)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_432,X_432),multiply(inverse(multiply(X_432,X_16)),X_16)),multiply(commutator(X_432,multiply(X_16,X_432)),commutator(X_16,X_432))) )],[refute_0_6982,refute_0_8154]) ).
cnf(refute_0_8156,plain,
( multiply(commutator(X_432,multiply(X_16,X_432)),commutator(X_16,X_432)) != identity
| commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),multiply(inverse(multiply(X_432,X_16)),X_16))) != multiply(commutator(X_432,multiply(X_16,X_432)),commutator(X_16,X_432))
| commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),multiply(inverse(multiply(X_432,X_16)),X_16))) = identity ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),multiply(inverse(multiply(X_432,X_16)),X_16))))),bind(Y0,$fot(multiply(commutator(X_432,multiply(X_16,X_432)),commutator(X_16,X_432)))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_8157,plain,
( multiply(commutator(X_432,multiply(X_16,X_432)),commutator(X_16,X_432)) != identity
| commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),multiply(inverse(multiply(X_432,X_16)),X_16))) = identity ),
inference(resolve,[$cnf( $equal(commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),multiply(inverse(multiply(X_432,X_16)),X_16))),multiply(commutator(X_432,multiply(X_16,X_432)),commutator(X_16,X_432))) )],[refute_0_8155,refute_0_8156]) ).
cnf(refute_0_8158,plain,
commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),multiply(inverse(multiply(X_432,X_16)),X_16))) = identity,
inference(resolve,[$cnf( $equal(multiply(commutator(X_432,multiply(X_16,X_432)),commutator(X_16,X_432)),identity) )],[refute_0_6923,refute_0_8157]) ).
cnf(refute_0_8159,plain,
( commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),multiply(inverse(multiply(X_432,X_16)),X_16))) != identity
| commutator(X_432,multiply(commutator(X_16,X_432),multiply(inverse(multiply(X_432,X_16)),X_16))) != commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),multiply(inverse(multiply(X_432,X_16)),X_16)))
| commutator(X_432,multiply(commutator(X_16,X_432),multiply(inverse(multiply(X_432,X_16)),X_16))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_432,multiply(commutator(X_16,X_432),multiply(inverse(multiply(X_432,X_16)),X_16))),commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),multiply(inverse(multiply(X_432,X_16)),X_16)))) ),[1],$fot(identity)]]) ).
cnf(refute_0_8160,plain,
( commutator(X_432,multiply(commutator(X_16,X_432),multiply(inverse(multiply(X_432,X_16)),X_16))) != commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),multiply(inverse(multiply(X_432,X_16)),X_16)))
| commutator(X_432,multiply(commutator(X_16,X_432),multiply(inverse(multiply(X_432,X_16)),X_16))) = identity ),
inference(resolve,[$cnf( $equal(commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),multiply(inverse(multiply(X_432,X_16)),X_16))),identity) )],[refute_0_8158,refute_0_8159]) ).
cnf(refute_0_8161,plain,
( commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),commutator(X_16,X_432))) != commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),multiply(inverse(multiply(X_432,X_16)),X_16)))
| commutator(X_432,multiply(commutator(X_16,X_432),multiply(inverse(multiply(X_432,X_16)),X_16))) = identity ),
inference(resolve,[$cnf( $equal(commutator(X_432,multiply(commutator(X_16,X_432),multiply(inverse(multiply(X_432,X_16)),X_16))),commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),multiply(inverse(multiply(X_432,X_16)),X_16)))) )],[refute_0_6914,refute_0_8160]) ).
cnf(refute_0_8162,plain,
commutator(X_432,multiply(commutator(X_16,X_432),multiply(inverse(multiply(X_432,X_16)),X_16))) = identity,
inference(resolve,[$cnf( $equal(commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),commutator(X_16,X_432))),commutator(X_432,multiply(multiply(inverse(multiply(X_432,X_16)),X_16),multiply(inverse(multiply(X_432,X_16)),X_16)))) )],[refute_0_6894,refute_0_8161]) ).
cnf(refute_0_8163,plain,
commutator(X_90,multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483))) = identity,
inference(subst,[],[refute_0_8162:[bind(X_16,$fot(X_483)),bind(X_432,$fot(X_90))]]) ).
cnf(refute_0_8164,plain,
( multiply(X_90,multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),inverse(X_90))) != multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),commutator(X_90,multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483))))
| commutator(X_90,multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483))) != identity
| multiply(X_90,multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),inverse(X_90))) = multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_90,multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),inverse(X_90))),multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),commutator(X_90,multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483))))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_8165,plain,
( multiply(X_90,multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),inverse(X_90))) != multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),commutator(X_90,multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483))))
| multiply(X_90,multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),inverse(X_90))) = multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),identity) ),
inference(resolve,[$cnf( $equal(commutator(X_90,multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483))),identity) )],[refute_0_8163,refute_0_8164]) ).
cnf(refute_0_8166,plain,
multiply(X_90,multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),inverse(X_90))) = multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),identity),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),inverse(X_90))),multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),commutator(X_90,multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483))))) )],[refute_0_6815,refute_0_8165]) ).
cnf(refute_0_8167,plain,
multiply(multiply(X_90,X_483),commutator(X_90,X_483)) = multiply(X_90,multiply(X_483,commutator(X_90,X_483))),
inference(subst,[],[associativity:[bind(X,$fot(X_90)),bind(Y,$fot(X_483)),bind(Z,$fot(commutator(X_90,X_483)))]]) ).
cnf(refute_0_8168,plain,
multiply(inverse(X_483),multiply(multiply(X_90,X_483),commutator(X_90,X_483))) = multiply(inverse(X_483),multiply(multiply(X_90,X_483),commutator(X_90,X_483))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_483),multiply(multiply(X_90,X_483),commutator(X_90,X_483))))]]) ).
cnf(refute_0_8169,plain,
( multiply(multiply(X_90,X_483),commutator(X_90,X_483)) != multiply(X_90,multiply(X_483,commutator(X_90,X_483)))
| multiply(inverse(X_483),multiply(multiply(X_90,X_483),commutator(X_90,X_483))) != multiply(inverse(X_483),multiply(multiply(X_90,X_483),commutator(X_90,X_483)))
| multiply(inverse(X_483),multiply(multiply(X_90,X_483),commutator(X_90,X_483))) = multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_483),multiply(multiply(X_90,X_483),commutator(X_90,X_483))),multiply(inverse(X_483),multiply(multiply(X_90,X_483),commutator(X_90,X_483)))) ),[1,1],$fot(multiply(X_90,multiply(X_483,commutator(X_90,X_483))))]]) ).
cnf(refute_0_8170,plain,
( multiply(multiply(X_90,X_483),commutator(X_90,X_483)) != multiply(X_90,multiply(X_483,commutator(X_90,X_483)))
| multiply(inverse(X_483),multiply(multiply(X_90,X_483),commutator(X_90,X_483))) = multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_483),multiply(multiply(X_90,X_483),commutator(X_90,X_483))),multiply(inverse(X_483),multiply(multiply(X_90,X_483),commutator(X_90,X_483)))) )],[refute_0_8168,refute_0_8169]) ).
cnf(refute_0_8171,plain,
multiply(inverse(X_483),multiply(multiply(X_90,X_483),commutator(X_90,X_483))) = multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_90,X_483),commutator(X_90,X_483)),multiply(X_90,multiply(X_483,commutator(X_90,X_483)))) )],[refute_0_8167,refute_0_8170]) ).
cnf(refute_0_8172,plain,
multiply(multiply(inverse(X_483),multiply(X_90,X_483)),commutator(X_90,X_483)) = multiply(inverse(X_483),multiply(multiply(X_90,X_483),commutator(X_90,X_483))),
inference(subst,[],[associativity:[bind(X,$fot(inverse(X_483))),bind(Y,$fot(multiply(X_90,X_483))),bind(Z,$fot(commutator(X_90,X_483)))]]) ).
cnf(refute_0_8173,plain,
( multiply(multiply(inverse(X_483),multiply(X_90,X_483)),commutator(X_90,X_483)) != multiply(inverse(X_483),multiply(multiply(X_90,X_483),commutator(X_90,X_483)))
| multiply(inverse(X_483),multiply(multiply(X_90,X_483),commutator(X_90,X_483))) != multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))
| multiply(multiply(inverse(X_483),multiply(X_90,X_483)),commutator(X_90,X_483)) = multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(inverse(X_483),multiply(X_90,X_483)),commutator(X_90,X_483)))),bind(Y0,$fot(multiply(inverse(X_483),multiply(multiply(X_90,X_483),commutator(X_90,X_483))))),bind(Z0,$fot(multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))))]]) ).
cnf(refute_0_8174,plain,
( multiply(inverse(X_483),multiply(multiply(X_90,X_483),commutator(X_90,X_483))) != multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))
| multiply(multiply(inverse(X_483),multiply(X_90,X_483)),commutator(X_90,X_483)) = multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_483),multiply(X_90,X_483)),commutator(X_90,X_483)),multiply(inverse(X_483),multiply(multiply(X_90,X_483),commutator(X_90,X_483)))) )],[refute_0_8172,refute_0_8173]) ).
cnf(refute_0_8175,plain,
multiply(multiply(inverse(X_483),multiply(X_90,X_483)),commutator(X_90,X_483)) = multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483)))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_483),multiply(multiply(X_90,X_483),commutator(X_90,X_483))),multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))) )],[refute_0_8171,refute_0_8174]) ).
cnf(refute_0_8176,plain,
multiply(X_90,multiply(multiply(inverse(X_483),multiply(X_90,X_483)),commutator(X_90,X_483))) = multiply(X_90,multiply(multiply(inverse(X_483),multiply(X_90,X_483)),commutator(X_90,X_483))),
introduced(tautology,[refl,[$fot(multiply(X_90,multiply(multiply(inverse(X_483),multiply(X_90,X_483)),commutator(X_90,X_483))))]]) ).
cnf(refute_0_8177,plain,
( multiply(X_90,multiply(multiply(inverse(X_483),multiply(X_90,X_483)),commutator(X_90,X_483))) != multiply(X_90,multiply(multiply(inverse(X_483),multiply(X_90,X_483)),commutator(X_90,X_483)))
| multiply(multiply(inverse(X_483),multiply(X_90,X_483)),commutator(X_90,X_483)) != multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))
| multiply(X_90,multiply(multiply(inverse(X_483),multiply(X_90,X_483)),commutator(X_90,X_483))) = multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_90,multiply(multiply(inverse(X_483),multiply(X_90,X_483)),commutator(X_90,X_483))),multiply(X_90,multiply(multiply(inverse(X_483),multiply(X_90,X_483)),commutator(X_90,X_483)))) ),[1,1],$fot(multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483)))))]]) ).
cnf(refute_0_8178,plain,
( multiply(multiply(inverse(X_483),multiply(X_90,X_483)),commutator(X_90,X_483)) != multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))
| multiply(X_90,multiply(multiply(inverse(X_483),multiply(X_90,X_483)),commutator(X_90,X_483))) = multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))) ),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(multiply(inverse(X_483),multiply(X_90,X_483)),commutator(X_90,X_483))),multiply(X_90,multiply(multiply(inverse(X_483),multiply(X_90,X_483)),commutator(X_90,X_483)))) )],[refute_0_8176,refute_0_8177]) ).
cnf(refute_0_8179,plain,
multiply(X_90,multiply(multiply(inverse(X_483),multiply(X_90,X_483)),commutator(X_90,X_483))) = multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_483),multiply(X_90,X_483)),commutator(X_90,X_483)),multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))) )],[refute_0_8175,refute_0_8178]) ).
cnf(refute_0_8180,plain,
multiply(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))),commutator(X_90,X_483)) = multiply(X_90,multiply(multiply(inverse(X_483),multiply(X_90,X_483)),commutator(X_90,X_483))),
inference(subst,[],[associativity:[bind(X,$fot(X_90)),bind(Y,$fot(multiply(inverse(X_483),multiply(X_90,X_483)))),bind(Z,$fot(commutator(X_90,X_483)))]]) ).
cnf(refute_0_8181,plain,
( multiply(X_90,multiply(multiply(inverse(X_483),multiply(X_90,X_483)),commutator(X_90,X_483))) != multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483)))))
| multiply(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))),commutator(X_90,X_483)) != multiply(X_90,multiply(multiply(inverse(X_483),multiply(X_90,X_483)),commutator(X_90,X_483)))
| multiply(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))),commutator(X_90,X_483)) = multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))),commutator(X_90,X_483)))),bind(Y0,$fot(multiply(X_90,multiply(multiply(inverse(X_483),multiply(X_90,X_483)),commutator(X_90,X_483))))),bind(Z0,$fot(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483)))))))]]) ).
cnf(refute_0_8182,plain,
( multiply(X_90,multiply(multiply(inverse(X_483),multiply(X_90,X_483)),commutator(X_90,X_483))) != multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483)))))
| multiply(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))),commutator(X_90,X_483)) = multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))),commutator(X_90,X_483)),multiply(X_90,multiply(multiply(inverse(X_483),multiply(X_90,X_483)),commutator(X_90,X_483)))) )],[refute_0_8180,refute_0_8181]) ).
cnf(refute_0_8183,plain,
multiply(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))),commutator(X_90,X_483)) = multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(multiply(inverse(X_483),multiply(X_90,X_483)),commutator(X_90,X_483))),multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483)))))) )],[refute_0_8179,refute_0_8182]) ).
cnf(refute_0_8184,plain,
inverse(multiply(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))),commutator(X_90,X_483))) = inverse(multiply(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))),commutator(X_90,X_483))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))),commutator(X_90,X_483))))]]) ).
cnf(refute_0_8185,plain,
( multiply(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))),commutator(X_90,X_483)) != multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483)))))
| inverse(multiply(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))),commutator(X_90,X_483))) != inverse(multiply(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))),commutator(X_90,X_483)))
| inverse(multiply(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))),commutator(X_90,X_483))) = inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483)))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))),commutator(X_90,X_483))),inverse(multiply(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))),commutator(X_90,X_483)))) ),[1,0],$fot(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))))]]) ).
cnf(refute_0_8186,plain,
( multiply(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))),commutator(X_90,X_483)) != multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483)))))
| inverse(multiply(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))),commutator(X_90,X_483))) = inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483)))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))),commutator(X_90,X_483))),inverse(multiply(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))),commutator(X_90,X_483)))) )],[refute_0_8184,refute_0_8185]) ).
cnf(refute_0_8187,plain,
inverse(multiply(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))),commutator(X_90,X_483))) = inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483)))))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))),commutator(X_90,X_483)),multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483)))))) )],[refute_0_8183,refute_0_8186]) ).
cnf(refute_0_8188,plain,
multiply(commutator(X_483,X_90),inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))))) = inverse(multiply(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))),commutator(X_90,X_483))),
inference(subst,[],[refute_0_378:[bind(X_58,$fot(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))))),bind(X_65,$fot(X_483)),bind(X_66,$fot(X_90))]]) ).
cnf(refute_0_8189,plain,
( multiply(commutator(X_483,X_90),inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))))) != inverse(multiply(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))),commutator(X_90,X_483)))
| inverse(multiply(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))),commutator(X_90,X_483))) != inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))))
| multiply(commutator(X_483,X_90),inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))))) = inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483)))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_483,X_90),inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))))))),bind(Y0,$fot(inverse(multiply(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))),commutator(X_90,X_483))))),bind(Z0,$fot(inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))))))]]) ).
cnf(refute_0_8190,plain,
( inverse(multiply(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))),commutator(X_90,X_483))) != inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))))
| multiply(commutator(X_483,X_90),inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))))) = inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483)))))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_483,X_90),inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))))),inverse(multiply(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))),commutator(X_90,X_483)))) )],[refute_0_8188,refute_0_8189]) ).
cnf(refute_0_8191,plain,
multiply(commutator(X_483,X_90),inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))))) = inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483)))))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))),commutator(X_90,X_483))),inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))))) )],[refute_0_8187,refute_0_8190]) ).
cnf(refute_0_8192,plain,
multiply(inverse(multiply(X_90,X_483)),multiply(X_483,inverse(X_90))) = inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483)))),
inference(subst,[],[refute_0_1684:[bind(X_58,$fot(X_90)),bind(X_73,$fot(multiply(X_90,X_483))),bind(X_74,$fot(X_483))]]) ).
cnf(refute_0_8193,plain,
multiply(multiply(inverse(multiply(X_90,X_483)),X_483),inverse(X_90)) = multiply(inverse(multiply(X_90,X_483)),multiply(X_483,inverse(X_90))),
inference(subst,[],[associativity:[bind(X,$fot(inverse(multiply(X_90,X_483)))),bind(Y,$fot(X_483)),bind(Z,$fot(inverse(X_90)))]]) ).
cnf(refute_0_8194,plain,
( multiply(multiply(inverse(multiply(X_90,X_483)),X_483),inverse(X_90)) != multiply(inverse(multiply(X_90,X_483)),multiply(X_483,inverse(X_90)))
| multiply(inverse(multiply(X_90,X_483)),multiply(X_483,inverse(X_90))) != inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))))
| multiply(multiply(inverse(multiply(X_90,X_483)),X_483),inverse(X_90)) = inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(inverse(multiply(X_90,X_483)),X_483),inverse(X_90)))),bind(Y0,$fot(multiply(inverse(multiply(X_90,X_483)),multiply(X_483,inverse(X_90))))),bind(Z0,$fot(inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))))))]]) ).
cnf(refute_0_8195,plain,
( multiply(inverse(multiply(X_90,X_483)),multiply(X_483,inverse(X_90))) != inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))))
| multiply(multiply(inverse(multiply(X_90,X_483)),X_483),inverse(X_90)) = inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(X_90,X_483)),X_483),inverse(X_90)),multiply(inverse(multiply(X_90,X_483)),multiply(X_483,inverse(X_90)))) )],[refute_0_8193,refute_0_8194]) ).
cnf(refute_0_8196,plain,
multiply(multiply(inverse(multiply(X_90,X_483)),X_483),inverse(X_90)) = inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483)))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_90,X_483)),multiply(X_483,inverse(X_90))),inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))))) )],[refute_0_8192,refute_0_8195]) ).
cnf(refute_0_8197,plain,
multiply(commutator(X_483,X_90),multiply(multiply(inverse(multiply(X_90,X_483)),X_483),inverse(X_90))) = multiply(commutator(X_483,X_90),multiply(multiply(inverse(multiply(X_90,X_483)),X_483),inverse(X_90))),
introduced(tautology,[refl,[$fot(multiply(commutator(X_483,X_90),multiply(multiply(inverse(multiply(X_90,X_483)),X_483),inverse(X_90))))]]) ).
cnf(refute_0_8198,plain,
( multiply(multiply(inverse(multiply(X_90,X_483)),X_483),inverse(X_90)) != inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))))
| multiply(commutator(X_483,X_90),multiply(multiply(inverse(multiply(X_90,X_483)),X_483),inverse(X_90))) != multiply(commutator(X_483,X_90),multiply(multiply(inverse(multiply(X_90,X_483)),X_483),inverse(X_90)))
| multiply(commutator(X_483,X_90),multiply(multiply(inverse(multiply(X_90,X_483)),X_483),inverse(X_90))) = multiply(commutator(X_483,X_90),inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_483,X_90),multiply(multiply(inverse(multiply(X_90,X_483)),X_483),inverse(X_90))),multiply(commutator(X_483,X_90),multiply(multiply(inverse(multiply(X_90,X_483)),X_483),inverse(X_90)))) ),[1,1],$fot(inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483)))))]]) ).
cnf(refute_0_8199,plain,
( multiply(multiply(inverse(multiply(X_90,X_483)),X_483),inverse(X_90)) != inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))))
| multiply(commutator(X_483,X_90),multiply(multiply(inverse(multiply(X_90,X_483)),X_483),inverse(X_90))) = multiply(commutator(X_483,X_90),inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_483,X_90),multiply(multiply(inverse(multiply(X_90,X_483)),X_483),inverse(X_90))),multiply(commutator(X_483,X_90),multiply(multiply(inverse(multiply(X_90,X_483)),X_483),inverse(X_90)))) )],[refute_0_8197,refute_0_8198]) ).
cnf(refute_0_8200,plain,
multiply(commutator(X_483,X_90),multiply(multiply(inverse(multiply(X_90,X_483)),X_483),inverse(X_90))) = multiply(commutator(X_483,X_90),inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(X_90,X_483)),X_483),inverse(X_90)),inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))))) )],[refute_0_8196,refute_0_8199]) ).
cnf(refute_0_8201,plain,
( multiply(commutator(X_483,X_90),multiply(multiply(inverse(multiply(X_90,X_483)),X_483),inverse(X_90))) != multiply(commutator(X_483,X_90),inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483)))))
| multiply(commutator(X_483,X_90),inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))))) != inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))))
| multiply(commutator(X_483,X_90),multiply(multiply(inverse(multiply(X_90,X_483)),X_483),inverse(X_90))) = inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483)))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_483,X_90),multiply(multiply(inverse(multiply(X_90,X_483)),X_483),inverse(X_90))))),bind(Y0,$fot(multiply(commutator(X_483,X_90),inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))))))),bind(Z0,$fot(inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))))))]]) ).
cnf(refute_0_8202,plain,
( multiply(commutator(X_483,X_90),inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))))) != inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))))
| multiply(commutator(X_483,X_90),multiply(multiply(inverse(multiply(X_90,X_483)),X_483),inverse(X_90))) = inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483)))))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_483,X_90),multiply(multiply(inverse(multiply(X_90,X_483)),X_483),inverse(X_90))),multiply(commutator(X_483,X_90),inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483)))))) )],[refute_0_8200,refute_0_8201]) ).
cnf(refute_0_8203,plain,
multiply(commutator(X_483,X_90),multiply(multiply(inverse(multiply(X_90,X_483)),X_483),inverse(X_90))) = inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483)))))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_483,X_90),inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,X_483))))),inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))))) )],[refute_0_8191,refute_0_8202]) ).
cnf(refute_0_8204,plain,
multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),inverse(X_90)) = multiply(commutator(X_483,X_90),multiply(multiply(inverse(multiply(X_90,X_483)),X_483),inverse(X_90))),
inference(subst,[],[associativity:[bind(X,$fot(commutator(X_483,X_90))),bind(Y,$fot(multiply(inverse(multiply(X_90,X_483)),X_483))),bind(Z,$fot(inverse(X_90)))]]) ).
cnf(refute_0_8205,plain,
( multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),inverse(X_90)) != multiply(commutator(X_483,X_90),multiply(multiply(inverse(multiply(X_90,X_483)),X_483),inverse(X_90)))
| multiply(commutator(X_483,X_90),multiply(multiply(inverse(multiply(X_90,X_483)),X_483),inverse(X_90))) != inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))))
| multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),inverse(X_90)) = inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483)))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),inverse(X_90)))),bind(Y0,$fot(multiply(commutator(X_483,X_90),multiply(multiply(inverse(multiply(X_90,X_483)),X_483),inverse(X_90))))),bind(Z0,$fot(inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))))))]]) ).
cnf(refute_0_8206,plain,
( multiply(commutator(X_483,X_90),multiply(multiply(inverse(multiply(X_90,X_483)),X_483),inverse(X_90))) != inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))))
| multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),inverse(X_90)) = inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483)))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),inverse(X_90)),multiply(commutator(X_483,X_90),multiply(multiply(inverse(multiply(X_90,X_483)),X_483),inverse(X_90)))) )],[refute_0_8204,refute_0_8205]) ).
cnf(refute_0_8207,plain,
multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),inverse(X_90)) = inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483)))))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_483,X_90),multiply(multiply(inverse(multiply(X_90,X_483)),X_483),inverse(X_90))),inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))))) )],[refute_0_8203,refute_0_8206]) ).
cnf(refute_0_8208,plain,
multiply(X_90,multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),inverse(X_90))) = multiply(X_90,multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),inverse(X_90))),
introduced(tautology,[refl,[$fot(multiply(X_90,multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),inverse(X_90))))]]) ).
cnf(refute_0_8209,plain,
( multiply(X_90,multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),inverse(X_90))) != multiply(X_90,multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),inverse(X_90)))
| multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),inverse(X_90)) != inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))))
| multiply(X_90,multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),inverse(X_90))) = multiply(X_90,inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_90,multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),inverse(X_90))),multiply(X_90,multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),inverse(X_90)))) ),[1,1],$fot(inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483)))))))]]) ).
cnf(refute_0_8210,plain,
( multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),inverse(X_90)) != inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))))
| multiply(X_90,multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),inverse(X_90))) = multiply(X_90,inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))))) ),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),inverse(X_90))),multiply(X_90,multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),inverse(X_90)))) )],[refute_0_8208,refute_0_8209]) ).
cnf(refute_0_8211,plain,
multiply(X_90,multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),inverse(X_90))) = multiply(X_90,inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))))),
inference(resolve,[$cnf( $equal(multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),inverse(X_90)),inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))))) )],[refute_0_8207,refute_0_8210]) ).
cnf(refute_0_8212,plain,
( multiply(X_90,multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),inverse(X_90))) != multiply(X_90,inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483)))))))
| multiply(X_90,multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),inverse(X_90))) != multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),identity)
| multiply(X_90,inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))))) = multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_90,multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),inverse(X_90))),multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),identity)) ),[0],$fot(multiply(X_90,inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))))))]]) ).
cnf(refute_0_8213,plain,
( multiply(X_90,multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),inverse(X_90))) != multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),identity)
| multiply(X_90,inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))))) = multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),identity) ),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),inverse(X_90))),multiply(X_90,inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483)))))))) )],[refute_0_8211,refute_0_8212]) ).
cnf(refute_0_8214,plain,
multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),identity) = multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),
inference(subst,[],[refute_0_100:[bind(X_16,$fot(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483))))]]) ).
cnf(refute_0_8215,plain,
( multiply(X_90,inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))))) != multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),identity)
| multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),identity) != multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483))
| multiply(X_90,inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))))) = multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_90,inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))))),multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483))) ),[0],$fot(multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),identity))]]) ).
cnf(refute_0_8216,plain,
( multiply(X_90,inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))))) != multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),identity)
| multiply(X_90,inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))))) = multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),identity),multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483))) )],[refute_0_8214,refute_0_8215]) ).
cnf(refute_0_8217,plain,
( multiply(X_90,multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),inverse(X_90))) != multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),identity)
| multiply(X_90,inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))))) = multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)) ),
inference(resolve,[$cnf( $equal(multiply(X_90,inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))))),multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),identity)) )],[refute_0_8213,refute_0_8216]) ).
cnf(refute_0_8218,plain,
multiply(X_90,inverse(multiply(X_90,multiply(inverse(X_483),multiply(X_90,multiply(X_483,commutator(X_90,X_483))))))) = multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),inverse(X_90))),multiply(multiply(commutator(X_483,X_90),multiply(inverse(multiply(X_90,X_483)),X_483)),identity)) )],[refute_0_8166,refute_0_8217]) ).
cnf(refute_0_8219,plain,
multiply(X_58,inverse(multiply(X_58,multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512))))))) = multiply(commutator(X_512,X_58),multiply(inverse(multiply(X_58,X_512)),X_512)),
inference(subst,[],[refute_0_8218:[bind(X_483,$fot(X_512)),bind(X_90,$fot(X_58))]]) ).
cnf(refute_0_8220,plain,
( multiply(X_58,inverse(multiply(X_58,multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512))))))) != multiply(commutator(X_512,X_58),multiply(inverse(multiply(X_58,X_512)),X_512))
| multiply(X_58,inverse(multiply(X_58,multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512))))))) != inverse(multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),identity))
| multiply(commutator(X_512,X_58),multiply(inverse(multiply(X_58,X_512)),X_512)) = inverse(multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512))))))),inverse(multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),identity))) ),[0],$fot(multiply(commutator(X_512,X_58),multiply(inverse(multiply(X_58,X_512)),X_512)))]]) ).
cnf(refute_0_8221,plain,
( multiply(X_58,inverse(multiply(X_58,multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512))))))) != inverse(multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),identity))
| multiply(commutator(X_512,X_58),multiply(inverse(multiply(X_58,X_512)),X_512)) = inverse(multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),identity)) ),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512))))))),multiply(commutator(X_512,X_58),multiply(inverse(multiply(X_58,X_512)),X_512))) )],[refute_0_8219,refute_0_8220]) ).
cnf(refute_0_8222,plain,
multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_255,commutator(X_256,multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512))))))) = multiply(commutator(X_255,X_256),multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255))),
inference(subst,[],[refute_0_1843:[bind(X_10,$fot(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512))))))]]) ).
cnf(refute_0_8223,plain,
identity = commutator(X_256,multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512))))),
inference(subst,[],[refute_0_6808:[bind(X_320,$fot(X_512)),bind(X_510,$fot(X_256))]]) ).
cnf(refute_0_8224,plain,
( identity != commutator(X_256,multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))))
| commutator(X_256,multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512))))) = identity ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(identity)),bind(Y0,$fot(commutator(X_256,multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))))))]]) ).
cnf(refute_0_8225,plain,
commutator(X_256,multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512))))) = identity,
inference(resolve,[$cnf( $equal(identity,commutator(X_256,multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))))) )],[refute_0_8223,refute_0_8224]) ).
cnf(refute_0_8226,plain,
( multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_255,commutator(X_256,multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512))))))) != multiply(commutator(X_255,X_256),multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255)))
| commutator(X_256,multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512))))) != identity
| multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_255,identity)) = multiply(commutator(X_255,X_256),multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_255,commutator(X_256,multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512))))))),multiply(commutator(X_255,X_256),multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255)))) ),[0,1,1],$fot(identity)]]) ).
cnf(refute_0_8227,plain,
( multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_255,commutator(X_256,multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512))))))) != multiply(commutator(X_255,X_256),multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255)))
| multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_255,identity)) = multiply(commutator(X_255,X_256),multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255))) ),
inference(resolve,[$cnf( $equal(commutator(X_256,multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512))))),identity) )],[refute_0_8225,refute_0_8226]) ).
cnf(refute_0_8228,plain,
multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_255,identity)) = multiply(commutator(X_255,X_256),multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_255,commutator(X_256,multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512))))))),multiply(commutator(X_255,X_256),multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255)))) )],[refute_0_8222,refute_0_8227]) ).
cnf(refute_0_8229,plain,
multiply(commutator(X_256,X_512),identity) = commutator(X_256,X_512),
inference(subst,[],[refute_0_100:[bind(X_16,$fot(commutator(X_256,X_512)))]]) ).
cnf(refute_0_8230,plain,
commutator(X_255,identity) = identity,
inference(subst,[],[refute_0_1868:[bind(X,$fot(X_255))]]) ).
cnf(refute_0_8231,plain,
multiply(commutator(X_256,X_512),commutator(X_255,identity)) = multiply(commutator(X_256,X_512),commutator(X_255,identity)),
introduced(tautology,[refl,[$fot(multiply(commutator(X_256,X_512),commutator(X_255,identity)))]]) ).
cnf(refute_0_8232,plain,
( multiply(commutator(X_256,X_512),commutator(X_255,identity)) != multiply(commutator(X_256,X_512),commutator(X_255,identity))
| commutator(X_255,identity) != identity
| multiply(commutator(X_256,X_512),commutator(X_255,identity)) = multiply(commutator(X_256,X_512),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_256,X_512),commutator(X_255,identity)),multiply(commutator(X_256,X_512),commutator(X_255,identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_8233,plain,
( commutator(X_255,identity) != identity
| multiply(commutator(X_256,X_512),commutator(X_255,identity)) = multiply(commutator(X_256,X_512),identity) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_256,X_512),commutator(X_255,identity)),multiply(commutator(X_256,X_512),commutator(X_255,identity))) )],[refute_0_8231,refute_0_8232]) ).
cnf(refute_0_8234,plain,
multiply(commutator(X_256,X_512),commutator(X_255,identity)) = multiply(commutator(X_256,X_512),identity),
inference(resolve,[$cnf( $equal(commutator(X_255,identity),identity) )],[refute_0_8230,refute_0_8233]) ).
cnf(refute_0_8235,plain,
( multiply(commutator(X_256,X_512),commutator(X_255,identity)) != multiply(commutator(X_256,X_512),identity)
| multiply(commutator(X_256,X_512),identity) != commutator(X_256,X_512)
| multiply(commutator(X_256,X_512),commutator(X_255,identity)) = commutator(X_256,X_512) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_256,X_512),commutator(X_255,identity)))),bind(Y0,$fot(multiply(commutator(X_256,X_512),identity))),bind(Z0,$fot(commutator(X_256,X_512)))]]) ).
cnf(refute_0_8236,plain,
( multiply(commutator(X_256,X_512),identity) != commutator(X_256,X_512)
| multiply(commutator(X_256,X_512),commutator(X_255,identity)) = commutator(X_256,X_512) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_256,X_512),commutator(X_255,identity)),multiply(commutator(X_256,X_512),identity)) )],[refute_0_8234,refute_0_8235]) ).
cnf(refute_0_8237,plain,
multiply(commutator(X_256,X_512),commutator(X_255,identity)) = commutator(X_256,X_512),
inference(resolve,[$cnf( $equal(multiply(commutator(X_256,X_512),identity),commutator(X_256,X_512)) )],[refute_0_8229,refute_0_8236]) ).
cnf(refute_0_8238,plain,
multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_255,identity))) = multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_255,identity))),
introduced(tautology,[refl,[$fot(multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_255,identity))))]]) ).
cnf(refute_0_8239,plain,
( multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_255,identity))) != multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_255,identity)))
| multiply(commutator(X_256,X_512),commutator(X_255,identity)) != commutator(X_256,X_512)
| multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_255,identity))) = multiply(X_512,commutator(X_256,X_512)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_255,identity))),multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_255,identity)))) ),[1,1],$fot(commutator(X_256,X_512))]]) ).
cnf(refute_0_8240,plain,
( multiply(commutator(X_256,X_512),commutator(X_255,identity)) != commutator(X_256,X_512)
| multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_255,identity))) = multiply(X_512,commutator(X_256,X_512)) ),
inference(resolve,[$cnf( $equal(multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_255,identity))),multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_255,identity)))) )],[refute_0_8238,refute_0_8239]) ).
cnf(refute_0_8241,plain,
multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_255,identity))) = multiply(X_512,commutator(X_256,X_512)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_256,X_512),commutator(X_255,identity)),commutator(X_256,X_512)) )],[refute_0_8237,refute_0_8240]) ).
cnf(refute_0_8242,plain,
multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_255,identity)) = multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_255,identity))),
inference(subst,[],[associativity:[bind(X,$fot(X_512)),bind(Y,$fot(commutator(X_256,X_512))),bind(Z,$fot(commutator(X_255,identity)))]]) ).
cnf(refute_0_8243,plain,
( multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_255,identity))) != multiply(X_512,commutator(X_256,X_512))
| multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_255,identity)) != multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_255,identity)))
| multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_255,identity)) = multiply(X_512,commutator(X_256,X_512)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_255,identity)))),bind(Y0,$fot(multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_255,identity))))),bind(Z0,$fot(multiply(X_512,commutator(X_256,X_512))))]]) ).
cnf(refute_0_8244,plain,
( multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_255,identity))) != multiply(X_512,commutator(X_256,X_512))
| multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_255,identity)) = multiply(X_512,commutator(X_256,X_512)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_255,identity)),multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_255,identity)))) )],[refute_0_8242,refute_0_8243]) ).
cnf(refute_0_8245,plain,
multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_255,identity)) = multiply(X_512,commutator(X_256,X_512)),
inference(resolve,[$cnf( $equal(multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_255,identity))),multiply(X_512,commutator(X_256,X_512))) )],[refute_0_8241,refute_0_8244]) ).
cnf(refute_0_8246,plain,
multiply(X_256,multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_255,identity))) = multiply(X_256,multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_255,identity))),
introduced(tautology,[refl,[$fot(multiply(X_256,multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_255,identity))))]]) ).
cnf(refute_0_8247,plain,
( multiply(X_256,multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_255,identity))) != multiply(X_256,multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_255,identity)))
| multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_255,identity)) != multiply(X_512,commutator(X_256,X_512))
| multiply(X_256,multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_255,identity))) = multiply(X_256,multiply(X_512,commutator(X_256,X_512))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_256,multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_255,identity))),multiply(X_256,multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_255,identity)))) ),[1,1],$fot(multiply(X_512,commutator(X_256,X_512)))]]) ).
cnf(refute_0_8248,plain,
( multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_255,identity)) != multiply(X_512,commutator(X_256,X_512))
| multiply(X_256,multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_255,identity))) = multiply(X_256,multiply(X_512,commutator(X_256,X_512))) ),
inference(resolve,[$cnf( $equal(multiply(X_256,multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_255,identity))),multiply(X_256,multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_255,identity)))) )],[refute_0_8246,refute_0_8247]) ).
cnf(refute_0_8249,plain,
multiply(X_256,multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_255,identity))) = multiply(X_256,multiply(X_512,commutator(X_256,X_512))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_255,identity)),multiply(X_512,commutator(X_256,X_512))) )],[refute_0_8245,refute_0_8248]) ).
cnf(refute_0_8250,plain,
multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_255,identity)) = multiply(X_256,multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_255,identity))),
inference(subst,[],[associativity:[bind(X,$fot(X_256)),bind(Y,$fot(multiply(X_512,commutator(X_256,X_512)))),bind(Z,$fot(commutator(X_255,identity)))]]) ).
cnf(refute_0_8251,plain,
( multiply(X_256,multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_255,identity))) != multiply(X_256,multiply(X_512,commutator(X_256,X_512)))
| multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_255,identity)) != multiply(X_256,multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_255,identity)))
| multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_255,identity)) = multiply(X_256,multiply(X_512,commutator(X_256,X_512))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_255,identity)))),bind(Y0,$fot(multiply(X_256,multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_255,identity))))),bind(Z0,$fot(multiply(X_256,multiply(X_512,commutator(X_256,X_512)))))]]) ).
cnf(refute_0_8252,plain,
( multiply(X_256,multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_255,identity))) != multiply(X_256,multiply(X_512,commutator(X_256,X_512)))
| multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_255,identity)) = multiply(X_256,multiply(X_512,commutator(X_256,X_512))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_255,identity)),multiply(X_256,multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_255,identity)))) )],[refute_0_8250,refute_0_8251]) ).
cnf(refute_0_8253,plain,
multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_255,identity)) = multiply(X_256,multiply(X_512,commutator(X_256,X_512))),
inference(resolve,[$cnf( $equal(multiply(X_256,multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_255,identity))),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))) )],[refute_0_8249,refute_0_8252]) ).
cnf(refute_0_8254,plain,
multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_255,identity))) = multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_255,identity))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_255,identity))))]]) ).
cnf(refute_0_8255,plain,
( multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_255,identity)) != multiply(X_256,multiply(X_512,commutator(X_256,X_512)))
| multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_255,identity))) != multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_255,identity)))
| multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_255,identity))) = multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_255,identity))),multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_255,identity)))) ),[1,1],$fot(multiply(X_256,multiply(X_512,commutator(X_256,X_512))))]]) ).
cnf(refute_0_8256,plain,
( multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_255,identity)) != multiply(X_256,multiply(X_512,commutator(X_256,X_512)))
| multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_255,identity))) = multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_255,identity))),multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_255,identity)))) )],[refute_0_8254,refute_0_8255]) ).
cnf(refute_0_8257,plain,
multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_255,identity))) = multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_255,identity)),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))) )],[refute_0_8253,refute_0_8256]) ).
cnf(refute_0_8258,plain,
multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_255,identity)) = multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_255,identity))),
inference(subst,[],[associativity:[bind(X,$fot(inverse(X_512))),bind(Y,$fot(multiply(X_256,multiply(X_512,commutator(X_256,X_512))))),bind(Z,$fot(commutator(X_255,identity)))]]) ).
cnf(refute_0_8259,plain,
( multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_255,identity)) != multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_255,identity)))
| multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_255,identity))) != multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512))))
| multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_255,identity)) = multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_255,identity)))),bind(Y0,$fot(multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_255,identity))))),bind(Z0,$fot(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512))))))]]) ).
cnf(refute_0_8260,plain,
( multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_255,identity))) != multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512))))
| multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_255,identity)) = multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_255,identity)),multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_255,identity)))) )],[refute_0_8258,refute_0_8259]) ).
cnf(refute_0_8261,plain,
multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_255,identity)) = multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_255,identity))),multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512))))) )],[refute_0_8257,refute_0_8260]) ).
cnf(refute_0_8262,plain,
( multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_255,identity)) != multiply(commutator(X_255,X_256),multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255)))
| multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_255,identity)) != multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512))))
| multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))) = multiply(commutator(X_255,X_256),multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_255,identity)),multiply(commutator(X_255,X_256),multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255)))) ),[0],$fot(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))))]]) ).
cnf(refute_0_8263,plain,
( multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_255,identity)) != multiply(commutator(X_255,X_256),multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255)))
| multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))) = multiply(commutator(X_255,X_256),multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_255,identity)),multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512))))) )],[refute_0_8261,refute_0_8262]) ).
cnf(refute_0_8264,plain,
multiply(commutator(X_283,Z),commutator(X_282,commutator(X_283,commutator(X_283,Z)))) = multiply(commutator(X_282,X_283),multiply(commutator(X_283,Z),commutator(X_283,X_282))),
inference(subst,[],[refute_0_1843:[bind(X_10,$fot(commutator(X_283,Z))),bind(X_255,$fot(X_282)),bind(X_256,$fot(X_283))]]) ).
cnf(refute_0_8265,plain,
identity = commutator(X_283,commutator(X_283,Z)),
inference(subst,[],[refute_0_1076:[bind(Y,$fot(X_283))]]) ).
cnf(refute_0_8266,plain,
( identity != commutator(X_283,commutator(X_283,Z))
| commutator(X_283,commutator(X_283,Z)) = identity ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(identity)),bind(Y0,$fot(commutator(X_283,commutator(X_283,Z))))]]) ).
cnf(refute_0_8267,plain,
commutator(X_283,commutator(X_283,Z)) = identity,
inference(resolve,[$cnf( $equal(identity,commutator(X_283,commutator(X_283,Z))) )],[refute_0_8265,refute_0_8266]) ).
cnf(refute_0_8268,plain,
( multiply(commutator(X_283,Z),commutator(X_282,commutator(X_283,commutator(X_283,Z)))) != multiply(commutator(X_282,X_283),multiply(commutator(X_283,Z),commutator(X_283,X_282)))
| commutator(X_283,commutator(X_283,Z)) != identity
| multiply(commutator(X_283,Z),commutator(X_282,identity)) = multiply(commutator(X_282,X_283),multiply(commutator(X_283,Z),commutator(X_283,X_282))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_283,Z),commutator(X_282,commutator(X_283,commutator(X_283,Z)))),multiply(commutator(X_282,X_283),multiply(commutator(X_283,Z),commutator(X_283,X_282)))) ),[0,1,1],$fot(identity)]]) ).
cnf(refute_0_8269,plain,
( multiply(commutator(X_283,Z),commutator(X_282,commutator(X_283,commutator(X_283,Z)))) != multiply(commutator(X_282,X_283),multiply(commutator(X_283,Z),commutator(X_283,X_282)))
| multiply(commutator(X_283,Z),commutator(X_282,identity)) = multiply(commutator(X_282,X_283),multiply(commutator(X_283,Z),commutator(X_283,X_282))) ),
inference(resolve,[$cnf( $equal(commutator(X_283,commutator(X_283,Z)),identity) )],[refute_0_8267,refute_0_8268]) ).
cnf(refute_0_8270,plain,
multiply(commutator(X_283,Z),commutator(X_282,identity)) = multiply(commutator(X_282,X_283),multiply(commutator(X_283,Z),commutator(X_283,X_282))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_283,Z),commutator(X_282,commutator(X_283,commutator(X_283,Z)))),multiply(commutator(X_282,X_283),multiply(commutator(X_283,Z),commutator(X_283,X_282)))) )],[refute_0_8264,refute_0_8269]) ).
cnf(refute_0_8271,plain,
multiply(commutator(X_283,Z),identity) = commutator(X_283,Z),
inference(subst,[],[refute_0_100:[bind(X_16,$fot(commutator(X_283,Z)))]]) ).
cnf(refute_0_8272,plain,
multiply(commutator(X_283,Z),commutator(X_282,identity)) = multiply(commutator(X_283,Z),commutator(X_282,identity)),
introduced(tautology,[refl,[$fot(multiply(commutator(X_283,Z),commutator(X_282,identity)))]]) ).
cnf(refute_0_8273,plain,
( multiply(commutator(X_283,Z),commutator(X_282,identity)) != multiply(commutator(X_283,Z),commutator(X_282,identity))
| commutator(X_282,identity) != identity
| multiply(commutator(X_283,Z),commutator(X_282,identity)) = multiply(commutator(X_283,Z),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_283,Z),commutator(X_282,identity)),multiply(commutator(X_283,Z),commutator(X_282,identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_8274,plain,
( commutator(X_282,identity) != identity
| multiply(commutator(X_283,Z),commutator(X_282,identity)) = multiply(commutator(X_283,Z),identity) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_283,Z),commutator(X_282,identity)),multiply(commutator(X_283,Z),commutator(X_282,identity))) )],[refute_0_8272,refute_0_8273]) ).
cnf(refute_0_8275,plain,
multiply(commutator(X_283,Z),commutator(X_282,identity)) = multiply(commutator(X_283,Z),identity),
inference(resolve,[$cnf( $equal(commutator(X_282,identity),identity) )],[refute_0_1869,refute_0_8274]) ).
cnf(refute_0_8276,plain,
( multiply(commutator(X_283,Z),commutator(X_282,identity)) != multiply(commutator(X_283,Z),identity)
| multiply(commutator(X_283,Z),identity) != commutator(X_283,Z)
| multiply(commutator(X_283,Z),commutator(X_282,identity)) = commutator(X_283,Z) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_283,Z),commutator(X_282,identity)))),bind(Y0,$fot(multiply(commutator(X_283,Z),identity))),bind(Z0,$fot(commutator(X_283,Z)))]]) ).
cnf(refute_0_8277,plain,
( multiply(commutator(X_283,Z),identity) != commutator(X_283,Z)
| multiply(commutator(X_283,Z),commutator(X_282,identity)) = commutator(X_283,Z) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_283,Z),commutator(X_282,identity)),multiply(commutator(X_283,Z),identity)) )],[refute_0_8275,refute_0_8276]) ).
cnf(refute_0_8278,plain,
multiply(commutator(X_283,Z),commutator(X_282,identity)) = commutator(X_283,Z),
inference(resolve,[$cnf( $equal(multiply(commutator(X_283,Z),identity),commutator(X_283,Z)) )],[refute_0_8271,refute_0_8277]) ).
cnf(refute_0_8279,plain,
( multiply(commutator(X_283,Z),commutator(X_282,identity)) != multiply(commutator(X_282,X_283),multiply(commutator(X_283,Z),commutator(X_283,X_282)))
| multiply(commutator(X_283,Z),commutator(X_282,identity)) != commutator(X_283,Z)
| commutator(X_283,Z) = multiply(commutator(X_282,X_283),multiply(commutator(X_283,Z),commutator(X_283,X_282))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_283,Z),commutator(X_282,identity)),multiply(commutator(X_282,X_283),multiply(commutator(X_283,Z),commutator(X_283,X_282)))) ),[0],$fot(commutator(X_283,Z))]]) ).
cnf(refute_0_8280,plain,
( multiply(commutator(X_283,Z),commutator(X_282,identity)) != multiply(commutator(X_282,X_283),multiply(commutator(X_283,Z),commutator(X_283,X_282)))
| commutator(X_283,Z) = multiply(commutator(X_282,X_283),multiply(commutator(X_283,Z),commutator(X_283,X_282))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_283,Z),commutator(X_282,identity)),commutator(X_283,Z)) )],[refute_0_8278,refute_0_8279]) ).
cnf(refute_0_8281,plain,
commutator(X_283,Z) = multiply(commutator(X_282,X_283),multiply(commutator(X_283,Z),commutator(X_283,X_282))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_283,Z),commutator(X_282,identity)),multiply(commutator(X_282,X_283),multiply(commutator(X_283,Z),commutator(X_283,X_282)))) )],[refute_0_8270,refute_0_8280]) ).
cnf(refute_0_8282,plain,
( commutator(X_283,Z) != multiply(commutator(X_282,X_283),multiply(commutator(X_283,Z),commutator(X_283,X_282)))
| multiply(commutator(X_282,X_283),multiply(commutator(X_283,Z),commutator(X_283,X_282))) = commutator(X_283,Z) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_283,Z))),bind(Y0,$fot(multiply(commutator(X_282,X_283),multiply(commutator(X_283,Z),commutator(X_283,X_282)))))]]) ).
cnf(refute_0_8283,plain,
multiply(commutator(X_282,X_283),multiply(commutator(X_283,Z),commutator(X_283,X_282))) = commutator(X_283,Z),
inference(resolve,[$cnf( $equal(commutator(X_283,Z),multiply(commutator(X_282,X_283),multiply(commutator(X_283,Z),commutator(X_283,X_282)))) )],[refute_0_8281,refute_0_8282]) ).
cnf(refute_0_8284,plain,
multiply(commutator(X_255,X_256),multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255))) = commutator(X_256,multiply(X_512,X_512)),
inference(subst,[],[refute_0_8283:[bind(Z,$fot(multiply(X_512,X_512))),bind(X_282,$fot(X_255)),bind(X_283,$fot(X_256))]]) ).
cnf(refute_0_8285,plain,
multiply(X_256,multiply(commutator(X_255,X_256),multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255)))) = multiply(X_256,multiply(commutator(X_255,X_256),multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255)))),
introduced(tautology,[refl,[$fot(multiply(X_256,multiply(commutator(X_255,X_256),multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255)))))]]) ).
cnf(refute_0_8286,plain,
( multiply(X_256,multiply(commutator(X_255,X_256),multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255)))) != multiply(X_256,multiply(commutator(X_255,X_256),multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255))))
| multiply(commutator(X_255,X_256),multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255))) != commutator(X_256,multiply(X_512,X_512))
| multiply(X_256,multiply(commutator(X_255,X_256),multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255)))) = multiply(X_256,commutator(X_256,multiply(X_512,X_512))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_256,multiply(commutator(X_255,X_256),multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255)))),multiply(X_256,multiply(commutator(X_255,X_256),multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255))))) ),[1,1],$fot(commutator(X_256,multiply(X_512,X_512)))]]) ).
cnf(refute_0_8287,plain,
( multiply(commutator(X_255,X_256),multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255))) != commutator(X_256,multiply(X_512,X_512))
| multiply(X_256,multiply(commutator(X_255,X_256),multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255)))) = multiply(X_256,commutator(X_256,multiply(X_512,X_512))) ),
inference(resolve,[$cnf( $equal(multiply(X_256,multiply(commutator(X_255,X_256),multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255)))),multiply(X_256,multiply(commutator(X_255,X_256),multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255))))) )],[refute_0_8285,refute_0_8286]) ).
cnf(refute_0_8288,plain,
multiply(X_256,multiply(commutator(X_255,X_256),multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255)))) = multiply(X_256,commutator(X_256,multiply(X_512,X_512))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,X_256),multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255))),commutator(X_256,multiply(X_512,X_512))) )],[refute_0_8284,refute_0_8287]) ).
cnf(refute_0_8289,plain,
multiply(commutator(X_255,X_256),multiply(X_256,multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255)))) = multiply(X_256,multiply(commutator(X_255,X_256),multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255)))),
inference(subst,[],[refute_0_7108:[bind(Y,$fot(X_255)),bind(X_257,$fot(multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255))))]]) ).
cnf(refute_0_8290,plain,
( multiply(X_256,multiply(commutator(X_255,X_256),multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255)))) != multiply(X_256,commutator(X_256,multiply(X_512,X_512)))
| multiply(commutator(X_255,X_256),multiply(X_256,multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255)))) != multiply(X_256,multiply(commutator(X_255,X_256),multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255))))
| multiply(commutator(X_255,X_256),multiply(X_256,multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255)))) = multiply(X_256,commutator(X_256,multiply(X_512,X_512))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_255,X_256),multiply(X_256,multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255)))))),bind(Y0,$fot(multiply(X_256,multiply(commutator(X_255,X_256),multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255)))))),bind(Z0,$fot(multiply(X_256,commutator(X_256,multiply(X_512,X_512)))))]]) ).
cnf(refute_0_8291,plain,
( multiply(X_256,multiply(commutator(X_255,X_256),multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255)))) != multiply(X_256,commutator(X_256,multiply(X_512,X_512)))
| multiply(commutator(X_255,X_256),multiply(X_256,multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255)))) = multiply(X_256,commutator(X_256,multiply(X_512,X_512))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,X_256),multiply(X_256,multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255)))),multiply(X_256,multiply(commutator(X_255,X_256),multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255))))) )],[refute_0_8289,refute_0_8290]) ).
cnf(refute_0_8292,plain,
multiply(commutator(X_255,X_256),multiply(X_256,multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255)))) = multiply(X_256,commutator(X_256,multiply(X_512,X_512))),
inference(resolve,[$cnf( $equal(multiply(X_256,multiply(commutator(X_255,X_256),multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255)))),multiply(X_256,commutator(X_256,multiply(X_512,X_512)))) )],[refute_0_8288,refute_0_8291]) ).
cnf(refute_0_8293,plain,
multiply(commutator(X_506,multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),multiply(inverse(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),X_505)) = multiply(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),multiply(X_506,X_505)),
inference(subst,[],[refute_0_2844:[bind(Z,$fot(X_505)),bind(X_255,$fot(X_506)),bind(X_256,$fot(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))))]]) ).
cnf(refute_0_8294,plain,
commutator(X_506,multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))) = identity,
inference(subst,[],[refute_0_8162:[bind(X_432,$fot(X_506))]]) ).
cnf(refute_0_8295,plain,
( multiply(commutator(X_506,multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),multiply(inverse(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),X_505)) != multiply(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),multiply(X_506,X_505))
| commutator(X_506,multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))) != identity
| multiply(identity,multiply(inverse(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),X_505)) = multiply(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),multiply(X_506,X_505)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_506,multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),multiply(inverse(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),X_505)),multiply(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),multiply(X_506,X_505))) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_8296,plain,
( multiply(commutator(X_506,multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),multiply(inverse(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),X_505)) != multiply(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),multiply(X_506,X_505))
| multiply(identity,multiply(inverse(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),X_505)) = multiply(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),multiply(X_506,X_505)) ),
inference(resolve,[$cnf( $equal(commutator(X_506,multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),identity) )],[refute_0_8294,refute_0_8295]) ).
cnf(refute_0_8297,plain,
multiply(identity,multiply(inverse(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),X_505)) = multiply(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),multiply(X_506,X_505)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_506,multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),multiply(inverse(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),X_505)),multiply(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),multiply(X_506,X_505))) )],[refute_0_8293,refute_0_8296]) ).
cnf(refute_0_8298,plain,
multiply(multiply(X_506,X_16),multiply(commutator(X_506,X_16),X_505)) = multiply(X_506,multiply(X_16,multiply(commutator(X_506,X_16),X_505))),
inference(subst,[],[associativity:[bind(X,$fot(X_506)),bind(Y,$fot(X_16)),bind(Z,$fot(multiply(commutator(X_506,X_16),X_505)))]]) ).
cnf(refute_0_8299,plain,
multiply(inverse(X_16),multiply(multiply(X_506,X_16),multiply(commutator(X_506,X_16),X_505))) = multiply(inverse(X_16),multiply(multiply(X_506,X_16),multiply(commutator(X_506,X_16),X_505))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_16),multiply(multiply(X_506,X_16),multiply(commutator(X_506,X_16),X_505))))]]) ).
cnf(refute_0_8300,plain,
( multiply(multiply(X_506,X_16),multiply(commutator(X_506,X_16),X_505)) != multiply(X_506,multiply(X_16,multiply(commutator(X_506,X_16),X_505)))
| multiply(inverse(X_16),multiply(multiply(X_506,X_16),multiply(commutator(X_506,X_16),X_505))) != multiply(inverse(X_16),multiply(multiply(X_506,X_16),multiply(commutator(X_506,X_16),X_505)))
| multiply(inverse(X_16),multiply(multiply(X_506,X_16),multiply(commutator(X_506,X_16),X_505))) = multiply(inverse(X_16),multiply(X_506,multiply(X_16,multiply(commutator(X_506,X_16),X_505)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_16),multiply(multiply(X_506,X_16),multiply(commutator(X_506,X_16),X_505))),multiply(inverse(X_16),multiply(multiply(X_506,X_16),multiply(commutator(X_506,X_16),X_505)))) ),[1,1],$fot(multiply(X_506,multiply(X_16,multiply(commutator(X_506,X_16),X_505))))]]) ).
cnf(refute_0_8301,plain,
( multiply(multiply(X_506,X_16),multiply(commutator(X_506,X_16),X_505)) != multiply(X_506,multiply(X_16,multiply(commutator(X_506,X_16),X_505)))
| multiply(inverse(X_16),multiply(multiply(X_506,X_16),multiply(commutator(X_506,X_16),X_505))) = multiply(inverse(X_16),multiply(X_506,multiply(X_16,multiply(commutator(X_506,X_16),X_505)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_16),multiply(multiply(X_506,X_16),multiply(commutator(X_506,X_16),X_505))),multiply(inverse(X_16),multiply(multiply(X_506,X_16),multiply(commutator(X_506,X_16),X_505)))) )],[refute_0_8299,refute_0_8300]) ).
cnf(refute_0_8302,plain,
multiply(inverse(X_16),multiply(multiply(X_506,X_16),multiply(commutator(X_506,X_16),X_505))) = multiply(inverse(X_16),multiply(X_506,multiply(X_16,multiply(commutator(X_506,X_16),X_505)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_506,X_16),multiply(commutator(X_506,X_16),X_505)),multiply(X_506,multiply(X_16,multiply(commutator(X_506,X_16),X_505)))) )],[refute_0_8298,refute_0_8301]) ).
cnf(refute_0_8303,plain,
multiply(multiply(inverse(X_16),multiply(X_506,X_16)),multiply(commutator(X_506,X_16),X_505)) = multiply(inverse(X_16),multiply(multiply(X_506,X_16),multiply(commutator(X_506,X_16),X_505))),
inference(subst,[],[associativity:[bind(X,$fot(inverse(X_16))),bind(Y,$fot(multiply(X_506,X_16))),bind(Z,$fot(multiply(commutator(X_506,X_16),X_505)))]]) ).
cnf(refute_0_8304,plain,
( multiply(multiply(inverse(X_16),multiply(X_506,X_16)),multiply(commutator(X_506,X_16),X_505)) != multiply(inverse(X_16),multiply(multiply(X_506,X_16),multiply(commutator(X_506,X_16),X_505)))
| multiply(inverse(X_16),multiply(multiply(X_506,X_16),multiply(commutator(X_506,X_16),X_505))) != multiply(inverse(X_16),multiply(X_506,multiply(X_16,multiply(commutator(X_506,X_16),X_505))))
| multiply(multiply(inverse(X_16),multiply(X_506,X_16)),multiply(commutator(X_506,X_16),X_505)) = multiply(inverse(X_16),multiply(X_506,multiply(X_16,multiply(commutator(X_506,X_16),X_505)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(inverse(X_16),multiply(X_506,X_16)),multiply(commutator(X_506,X_16),X_505)))),bind(Y0,$fot(multiply(inverse(X_16),multiply(multiply(X_506,X_16),multiply(commutator(X_506,X_16),X_505))))),bind(Z0,$fot(multiply(inverse(X_16),multiply(X_506,multiply(X_16,multiply(commutator(X_506,X_16),X_505))))))]]) ).
cnf(refute_0_8305,plain,
( multiply(inverse(X_16),multiply(multiply(X_506,X_16),multiply(commutator(X_506,X_16),X_505))) != multiply(inverse(X_16),multiply(X_506,multiply(X_16,multiply(commutator(X_506,X_16),X_505))))
| multiply(multiply(inverse(X_16),multiply(X_506,X_16)),multiply(commutator(X_506,X_16),X_505)) = multiply(inverse(X_16),multiply(X_506,multiply(X_16,multiply(commutator(X_506,X_16),X_505)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_16),multiply(X_506,X_16)),multiply(commutator(X_506,X_16),X_505)),multiply(inverse(X_16),multiply(multiply(X_506,X_16),multiply(commutator(X_506,X_16),X_505)))) )],[refute_0_8303,refute_0_8304]) ).
cnf(refute_0_8306,plain,
multiply(multiply(inverse(X_16),multiply(X_506,X_16)),multiply(commutator(X_506,X_16),X_505)) = multiply(inverse(X_16),multiply(X_506,multiply(X_16,multiply(commutator(X_506,X_16),X_505)))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_16),multiply(multiply(X_506,X_16),multiply(commutator(X_506,X_16),X_505))),multiply(inverse(X_16),multiply(X_506,multiply(X_16,multiply(commutator(X_506,X_16),X_505))))) )],[refute_0_8302,refute_0_8305]) ).
cnf(refute_0_8307,plain,
inverse(multiply(inverse(multiply(X_506,X_16)),X_16)) = multiply(inverse(X_16),multiply(X_506,X_16)),
inference(subst,[],[refute_0_294:[bind(Z,$fot(X_16)),bind(X_61,$fot(multiply(X_506,X_16)))]]) ).
cnf(refute_0_8308,plain,
multiply(inverse(multiply(inverse(multiply(X_506,X_16)),X_16)),multiply(commutator(X_506,X_16),X_505)) = multiply(inverse(multiply(inverse(multiply(X_506,X_16)),X_16)),multiply(commutator(X_506,X_16),X_505)),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(inverse(multiply(X_506,X_16)),X_16)),multiply(commutator(X_506,X_16),X_505)))]]) ).
cnf(refute_0_8309,plain,
( multiply(inverse(multiply(inverse(multiply(X_506,X_16)),X_16)),multiply(commutator(X_506,X_16),X_505)) != multiply(inverse(multiply(inverse(multiply(X_506,X_16)),X_16)),multiply(commutator(X_506,X_16),X_505))
| inverse(multiply(inverse(multiply(X_506,X_16)),X_16)) != multiply(inverse(X_16),multiply(X_506,X_16))
| multiply(inverse(multiply(inverse(multiply(X_506,X_16)),X_16)),multiply(commutator(X_506,X_16),X_505)) = multiply(multiply(inverse(X_16),multiply(X_506,X_16)),multiply(commutator(X_506,X_16),X_505)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(multiply(X_506,X_16)),X_16)),multiply(commutator(X_506,X_16),X_505)),multiply(inverse(multiply(inverse(multiply(X_506,X_16)),X_16)),multiply(commutator(X_506,X_16),X_505))) ),[1,0],$fot(multiply(inverse(X_16),multiply(X_506,X_16)))]]) ).
cnf(refute_0_8310,plain,
( inverse(multiply(inverse(multiply(X_506,X_16)),X_16)) != multiply(inverse(X_16),multiply(X_506,X_16))
| multiply(inverse(multiply(inverse(multiply(X_506,X_16)),X_16)),multiply(commutator(X_506,X_16),X_505)) = multiply(multiply(inverse(X_16),multiply(X_506,X_16)),multiply(commutator(X_506,X_16),X_505)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(multiply(X_506,X_16)),X_16)),multiply(commutator(X_506,X_16),X_505)),multiply(inverse(multiply(inverse(multiply(X_506,X_16)),X_16)),multiply(commutator(X_506,X_16),X_505))) )],[refute_0_8308,refute_0_8309]) ).
cnf(refute_0_8311,plain,
multiply(inverse(multiply(inverse(multiply(X_506,X_16)),X_16)),multiply(commutator(X_506,X_16),X_505)) = multiply(multiply(inverse(X_16),multiply(X_506,X_16)),multiply(commutator(X_506,X_16),X_505)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(X_506,X_16)),X_16)),multiply(inverse(X_16),multiply(X_506,X_16))) )],[refute_0_8307,refute_0_8310]) ).
cnf(refute_0_8312,plain,
( multiply(multiply(inverse(X_16),multiply(X_506,X_16)),multiply(commutator(X_506,X_16),X_505)) != multiply(inverse(X_16),multiply(X_506,multiply(X_16,multiply(commutator(X_506,X_16),X_505))))
| multiply(inverse(multiply(inverse(multiply(X_506,X_16)),X_16)),multiply(commutator(X_506,X_16),X_505)) != multiply(multiply(inverse(X_16),multiply(X_506,X_16)),multiply(commutator(X_506,X_16),X_505))
| multiply(inverse(multiply(inverse(multiply(X_506,X_16)),X_16)),multiply(commutator(X_506,X_16),X_505)) = multiply(inverse(X_16),multiply(X_506,multiply(X_16,multiply(commutator(X_506,X_16),X_505)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(inverse(multiply(X_506,X_16)),X_16)),multiply(commutator(X_506,X_16),X_505)))),bind(Y0,$fot(multiply(multiply(inverse(X_16),multiply(X_506,X_16)),multiply(commutator(X_506,X_16),X_505)))),bind(Z0,$fot(multiply(inverse(X_16),multiply(X_506,multiply(X_16,multiply(commutator(X_506,X_16),X_505))))))]]) ).
cnf(refute_0_8313,plain,
( multiply(multiply(inverse(X_16),multiply(X_506,X_16)),multiply(commutator(X_506,X_16),X_505)) != multiply(inverse(X_16),multiply(X_506,multiply(X_16,multiply(commutator(X_506,X_16),X_505))))
| multiply(inverse(multiply(inverse(multiply(X_506,X_16)),X_16)),multiply(commutator(X_506,X_16),X_505)) = multiply(inverse(X_16),multiply(X_506,multiply(X_16,multiply(commutator(X_506,X_16),X_505)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(multiply(X_506,X_16)),X_16)),multiply(commutator(X_506,X_16),X_505)),multiply(multiply(inverse(X_16),multiply(X_506,X_16)),multiply(commutator(X_506,X_16),X_505))) )],[refute_0_8311,refute_0_8312]) ).
cnf(refute_0_8314,plain,
multiply(inverse(multiply(inverse(multiply(X_506,X_16)),X_16)),multiply(commutator(X_506,X_16),X_505)) = multiply(inverse(X_16),multiply(X_506,multiply(X_16,multiply(commutator(X_506,X_16),X_505)))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_16),multiply(X_506,X_16)),multiply(commutator(X_506,X_16),X_505)),multiply(inverse(X_16),multiply(X_506,multiply(X_16,multiply(commutator(X_506,X_16),X_505))))) )],[refute_0_8306,refute_0_8313]) ).
cnf(refute_0_8315,plain,
multiply(inverse(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),X_505) = multiply(inverse(multiply(inverse(multiply(X_506,X_16)),X_16)),multiply(commutator(X_506,X_16),X_505)),
inference(subst,[],[refute_0_684:[bind(Z,$fot(X_505)),bind(X_353,$fot(multiply(inverse(multiply(X_506,X_16)),X_16))),bind(X_354,$fot(X_16)),bind(X_355,$fot(X_506))]]) ).
cnf(refute_0_8316,plain,
multiply(identity,multiply(inverse(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),X_505)) = multiply(inverse(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),X_505),
inference(subst,[],[left_identity:[bind(X,$fot(multiply(inverse(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),X_505)))]]) ).
cnf(refute_0_8317,plain,
( multiply(identity,multiply(inverse(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),X_505)) != multiply(inverse(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),X_505)
| multiply(inverse(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),X_505) != multiply(inverse(multiply(inverse(multiply(X_506,X_16)),X_16)),multiply(commutator(X_506,X_16),X_505))
| multiply(identity,multiply(inverse(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),X_505)) = multiply(inverse(multiply(inverse(multiply(X_506,X_16)),X_16)),multiply(commutator(X_506,X_16),X_505)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(identity,multiply(inverse(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),X_505)))),bind(Y0,$fot(multiply(inverse(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),X_505))),bind(Z0,$fot(multiply(inverse(multiply(inverse(multiply(X_506,X_16)),X_16)),multiply(commutator(X_506,X_16),X_505))))]]) ).
cnf(refute_0_8318,plain,
( multiply(inverse(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),X_505) != multiply(inverse(multiply(inverse(multiply(X_506,X_16)),X_16)),multiply(commutator(X_506,X_16),X_505))
| multiply(identity,multiply(inverse(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),X_505)) = multiply(inverse(multiply(inverse(multiply(X_506,X_16)),X_16)),multiply(commutator(X_506,X_16),X_505)) ),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(inverse(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),X_505)),multiply(inverse(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),X_505)) )],[refute_0_8316,refute_0_8317]) ).
cnf(refute_0_8319,plain,
multiply(identity,multiply(inverse(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),X_505)) = multiply(inverse(multiply(inverse(multiply(X_506,X_16)),X_16)),multiply(commutator(X_506,X_16),X_505)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),X_505),multiply(inverse(multiply(inverse(multiply(X_506,X_16)),X_16)),multiply(commutator(X_506,X_16),X_505))) )],[refute_0_8315,refute_0_8318]) ).
cnf(refute_0_8320,plain,
( multiply(identity,multiply(inverse(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),X_505)) != multiply(inverse(multiply(inverse(multiply(X_506,X_16)),X_16)),multiply(commutator(X_506,X_16),X_505))
| multiply(inverse(multiply(inverse(multiply(X_506,X_16)),X_16)),multiply(commutator(X_506,X_16),X_505)) != multiply(inverse(X_16),multiply(X_506,multiply(X_16,multiply(commutator(X_506,X_16),X_505))))
| multiply(identity,multiply(inverse(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),X_505)) = multiply(inverse(X_16),multiply(X_506,multiply(X_16,multiply(commutator(X_506,X_16),X_505)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(identity,multiply(inverse(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),X_505)))),bind(Y0,$fot(multiply(inverse(multiply(inverse(multiply(X_506,X_16)),X_16)),multiply(commutator(X_506,X_16),X_505)))),bind(Z0,$fot(multiply(inverse(X_16),multiply(X_506,multiply(X_16,multiply(commutator(X_506,X_16),X_505))))))]]) ).
cnf(refute_0_8321,plain,
( multiply(inverse(multiply(inverse(multiply(X_506,X_16)),X_16)),multiply(commutator(X_506,X_16),X_505)) != multiply(inverse(X_16),multiply(X_506,multiply(X_16,multiply(commutator(X_506,X_16),X_505))))
| multiply(identity,multiply(inverse(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),X_505)) = multiply(inverse(X_16),multiply(X_506,multiply(X_16,multiply(commutator(X_506,X_16),X_505)))) ),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(inverse(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),X_505)),multiply(inverse(multiply(inverse(multiply(X_506,X_16)),X_16)),multiply(commutator(X_506,X_16),X_505))) )],[refute_0_8319,refute_0_8320]) ).
cnf(refute_0_8322,plain,
multiply(identity,multiply(inverse(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),X_505)) = multiply(inverse(X_16),multiply(X_506,multiply(X_16,multiply(commutator(X_506,X_16),X_505)))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(multiply(X_506,X_16)),X_16)),multiply(commutator(X_506,X_16),X_505)),multiply(inverse(X_16),multiply(X_506,multiply(X_16,multiply(commutator(X_506,X_16),X_505))))) )],[refute_0_8314,refute_0_8321]) ).
cnf(refute_0_8323,plain,
( multiply(identity,multiply(inverse(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),X_505)) != multiply(inverse(X_16),multiply(X_506,multiply(X_16,multiply(commutator(X_506,X_16),X_505))))
| multiply(identity,multiply(inverse(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),X_505)) != multiply(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),multiply(X_506,X_505))
| multiply(inverse(X_16),multiply(X_506,multiply(X_16,multiply(commutator(X_506,X_16),X_505)))) = multiply(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),multiply(X_506,X_505)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,multiply(inverse(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),X_505)),multiply(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),multiply(X_506,X_505))) ),[0],$fot(multiply(inverse(X_16),multiply(X_506,multiply(X_16,multiply(commutator(X_506,X_16),X_505)))))]]) ).
cnf(refute_0_8324,plain,
( multiply(identity,multiply(inverse(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),X_505)) != multiply(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),multiply(X_506,X_505))
| multiply(inverse(X_16),multiply(X_506,multiply(X_16,multiply(commutator(X_506,X_16),X_505)))) = multiply(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),multiply(X_506,X_505)) ),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(inverse(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),X_505)),multiply(inverse(X_16),multiply(X_506,multiply(X_16,multiply(commutator(X_506,X_16),X_505))))) )],[refute_0_8322,refute_0_8323]) ).
cnf(refute_0_8325,plain,
multiply(commutator(X_506,multiply(X_16,X_16)),multiply(X_506,X_505)) = multiply(X_506,multiply(commutator(X_506,multiply(X_16,X_16)),X_505)),
inference(subst,[],[refute_0_3327:[bind(Y,$fot(multiply(X_16,X_16))),bind(X_235,$fot(X_505)),bind(X_236,$fot(X_506))]]) ).
cnf(refute_0_8326,plain,
inverse(commutator(multiply(X_16,X_16),X_506)) = commutator(X_506,multiply(X_16,X_16)),
inference(subst,[],[refute_0_386:[bind(X,$fot(X_506)),bind(Y,$fot(multiply(X_16,X_16)))]]) ).
cnf(refute_0_8327,plain,
multiply(commutator(X_16,X_506),commutator(X_16,X_506)) = commutator(multiply(X_16,X_16),X_506),
inference(subst,[],[refute_0_2686:[bind(X_325,$fot(X_506)),bind(X_90,$fot(X_16))]]) ).
cnf(refute_0_8328,plain,
multiply(inverse(multiply(X_506,X_16)),multiply(X_16,X_506)) = commutator(X_16,X_506),
inference(subst,[],[refute_0_720:[bind(X,$fot(X_506)),bind(Y,$fot(X_16))]]) ).
cnf(refute_0_8329,plain,
multiply(multiply(inverse(multiply(X_506,X_16)),X_16),X_506) = multiply(inverse(multiply(X_506,X_16)),multiply(X_16,X_506)),
inference(subst,[],[associativity:[bind(X,$fot(inverse(multiply(X_506,X_16)))),bind(Y,$fot(X_16)),bind(Z,$fot(X_506))]]) ).
cnf(refute_0_8330,plain,
( multiply(multiply(inverse(multiply(X_506,X_16)),X_16),X_506) != multiply(inverse(multiply(X_506,X_16)),multiply(X_16,X_506))
| multiply(inverse(multiply(X_506,X_16)),multiply(X_16,X_506)) != commutator(X_16,X_506)
| multiply(multiply(inverse(multiply(X_506,X_16)),X_16),X_506) = commutator(X_16,X_506) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(inverse(multiply(X_506,X_16)),X_16),X_506))),bind(Y0,$fot(multiply(inverse(multiply(X_506,X_16)),multiply(X_16,X_506)))),bind(Z0,$fot(commutator(X_16,X_506)))]]) ).
cnf(refute_0_8331,plain,
( multiply(inverse(multiply(X_506,X_16)),multiply(X_16,X_506)) != commutator(X_16,X_506)
| multiply(multiply(inverse(multiply(X_506,X_16)),X_16),X_506) = commutator(X_16,X_506) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(X_506,X_16)),X_16),X_506),multiply(inverse(multiply(X_506,X_16)),multiply(X_16,X_506))) )],[refute_0_8329,refute_0_8330]) ).
cnf(refute_0_8332,plain,
multiply(multiply(inverse(multiply(X_506,X_16)),X_16),X_506) = commutator(X_16,X_506),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_506,X_16)),multiply(X_16,X_506)),commutator(X_16,X_506)) )],[refute_0_8328,refute_0_8331]) ).
cnf(refute_0_8333,plain,
multiply(commutator(X_16,X_506),multiply(multiply(inverse(multiply(X_506,X_16)),X_16),X_506)) = multiply(commutator(X_16,X_506),multiply(multiply(inverse(multiply(X_506,X_16)),X_16),X_506)),
introduced(tautology,[refl,[$fot(multiply(commutator(X_16,X_506),multiply(multiply(inverse(multiply(X_506,X_16)),X_16),X_506)))]]) ).
cnf(refute_0_8334,plain,
( multiply(multiply(inverse(multiply(X_506,X_16)),X_16),X_506) != commutator(X_16,X_506)
| multiply(commutator(X_16,X_506),multiply(multiply(inverse(multiply(X_506,X_16)),X_16),X_506)) != multiply(commutator(X_16,X_506),multiply(multiply(inverse(multiply(X_506,X_16)),X_16),X_506))
| multiply(commutator(X_16,X_506),multiply(multiply(inverse(multiply(X_506,X_16)),X_16),X_506)) = multiply(commutator(X_16,X_506),commutator(X_16,X_506)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_16,X_506),multiply(multiply(inverse(multiply(X_506,X_16)),X_16),X_506)),multiply(commutator(X_16,X_506),multiply(multiply(inverse(multiply(X_506,X_16)),X_16),X_506))) ),[1,1],$fot(commutator(X_16,X_506))]]) ).
cnf(refute_0_8335,plain,
( multiply(multiply(inverse(multiply(X_506,X_16)),X_16),X_506) != commutator(X_16,X_506)
| multiply(commutator(X_16,X_506),multiply(multiply(inverse(multiply(X_506,X_16)),X_16),X_506)) = multiply(commutator(X_16,X_506),commutator(X_16,X_506)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_16,X_506),multiply(multiply(inverse(multiply(X_506,X_16)),X_16),X_506)),multiply(commutator(X_16,X_506),multiply(multiply(inverse(multiply(X_506,X_16)),X_16),X_506))) )],[refute_0_8333,refute_0_8334]) ).
cnf(refute_0_8336,plain,
multiply(commutator(X_16,X_506),multiply(multiply(inverse(multiply(X_506,X_16)),X_16),X_506)) = multiply(commutator(X_16,X_506),commutator(X_16,X_506)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(X_506,X_16)),X_16),X_506),commutator(X_16,X_506)) )],[refute_0_8332,refute_0_8335]) ).
cnf(refute_0_8337,plain,
( multiply(commutator(X_16,X_506),multiply(multiply(inverse(multiply(X_506,X_16)),X_16),X_506)) != multiply(commutator(X_16,X_506),commutator(X_16,X_506))
| multiply(commutator(X_16,X_506),commutator(X_16,X_506)) != commutator(multiply(X_16,X_16),X_506)
| multiply(commutator(X_16,X_506),multiply(multiply(inverse(multiply(X_506,X_16)),X_16),X_506)) = commutator(multiply(X_16,X_16),X_506) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_16,X_506),multiply(multiply(inverse(multiply(X_506,X_16)),X_16),X_506)))),bind(Y0,$fot(multiply(commutator(X_16,X_506),commutator(X_16,X_506)))),bind(Z0,$fot(commutator(multiply(X_16,X_16),X_506)))]]) ).
cnf(refute_0_8338,plain,
( multiply(commutator(X_16,X_506),commutator(X_16,X_506)) != commutator(multiply(X_16,X_16),X_506)
| multiply(commutator(X_16,X_506),multiply(multiply(inverse(multiply(X_506,X_16)),X_16),X_506)) = commutator(multiply(X_16,X_16),X_506) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_16,X_506),multiply(multiply(inverse(multiply(X_506,X_16)),X_16),X_506)),multiply(commutator(X_16,X_506),commutator(X_16,X_506))) )],[refute_0_8336,refute_0_8337]) ).
cnf(refute_0_8339,plain,
multiply(commutator(X_16,X_506),multiply(multiply(inverse(multiply(X_506,X_16)),X_16),X_506)) = commutator(multiply(X_16,X_16),X_506),
inference(resolve,[$cnf( $equal(multiply(commutator(X_16,X_506),commutator(X_16,X_506)),commutator(multiply(X_16,X_16),X_506)) )],[refute_0_8327,refute_0_8338]) ).
cnf(refute_0_8340,plain,
multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506) = multiply(commutator(X_16,X_506),multiply(multiply(inverse(multiply(X_506,X_16)),X_16),X_506)),
inference(subst,[],[associativity:[bind(X,$fot(commutator(X_16,X_506))),bind(Y,$fot(multiply(inverse(multiply(X_506,X_16)),X_16))),bind(Z,$fot(X_506))]]) ).
cnf(refute_0_8341,plain,
( multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506) != multiply(commutator(X_16,X_506),multiply(multiply(inverse(multiply(X_506,X_16)),X_16),X_506))
| multiply(commutator(X_16,X_506),multiply(multiply(inverse(multiply(X_506,X_16)),X_16),X_506)) != commutator(multiply(X_16,X_16),X_506)
| multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506) = commutator(multiply(X_16,X_16),X_506) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506))),bind(Y0,$fot(multiply(commutator(X_16,X_506),multiply(multiply(inverse(multiply(X_506,X_16)),X_16),X_506)))),bind(Z0,$fot(commutator(multiply(X_16,X_16),X_506)))]]) ).
cnf(refute_0_8342,plain,
( multiply(commutator(X_16,X_506),multiply(multiply(inverse(multiply(X_506,X_16)),X_16),X_506)) != commutator(multiply(X_16,X_16),X_506)
| multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506) = commutator(multiply(X_16,X_16),X_506) ),
inference(resolve,[$cnf( $equal(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506),multiply(commutator(X_16,X_506),multiply(multiply(inverse(multiply(X_506,X_16)),X_16),X_506))) )],[refute_0_8340,refute_0_8341]) ).
cnf(refute_0_8343,plain,
multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506) = commutator(multiply(X_16,X_16),X_506),
inference(resolve,[$cnf( $equal(multiply(commutator(X_16,X_506),multiply(multiply(inverse(multiply(X_506,X_16)),X_16),X_506)),commutator(multiply(X_16,X_16),X_506)) )],[refute_0_8339,refute_0_8342]) ).
cnf(refute_0_8344,plain,
inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)) = inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)))]]) ).
cnf(refute_0_8345,plain,
( multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506) != commutator(multiply(X_16,X_16),X_506)
| inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)) != inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506))
| inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)) = inverse(commutator(multiply(X_16,X_16),X_506)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506))) ),[1,0],$fot(commutator(multiply(X_16,X_16),X_506))]]) ).
cnf(refute_0_8346,plain,
( multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506) != commutator(multiply(X_16,X_16),X_506)
| inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)) = inverse(commutator(multiply(X_16,X_16),X_506)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506))) )],[refute_0_8344,refute_0_8345]) ).
cnf(refute_0_8347,plain,
inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)) = inverse(commutator(multiply(X_16,X_16),X_506)),
inference(resolve,[$cnf( $equal(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506),commutator(multiply(X_16,X_16),X_506)) )],[refute_0_8343,refute_0_8346]) ).
cnf(refute_0_8348,plain,
( inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)) != inverse(commutator(multiply(X_16,X_16),X_506))
| inverse(commutator(multiply(X_16,X_16),X_506)) != commutator(X_506,multiply(X_16,X_16))
| inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)) = commutator(X_506,multiply(X_16,X_16)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)))),bind(Y0,$fot(inverse(commutator(multiply(X_16,X_16),X_506)))),bind(Z0,$fot(commutator(X_506,multiply(X_16,X_16))))]]) ).
cnf(refute_0_8349,plain,
( inverse(commutator(multiply(X_16,X_16),X_506)) != commutator(X_506,multiply(X_16,X_16))
| inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)) = commutator(X_506,multiply(X_16,X_16)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),inverse(commutator(multiply(X_16,X_16),X_506))) )],[refute_0_8347,refute_0_8348]) ).
cnf(refute_0_8350,plain,
inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)) = commutator(X_506,multiply(X_16,X_16)),
inference(resolve,[$cnf( $equal(inverse(commutator(multiply(X_16,X_16),X_506)),commutator(X_506,multiply(X_16,X_16))) )],[refute_0_8326,refute_0_8349]) ).
cnf(refute_0_8351,plain,
multiply(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),multiply(X_506,X_505)) = multiply(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),multiply(X_506,X_505)),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),multiply(X_506,X_505)))]]) ).
cnf(refute_0_8352,plain,
( multiply(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),multiply(X_506,X_505)) != multiply(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),multiply(X_506,X_505))
| inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)) != commutator(X_506,multiply(X_16,X_16))
| multiply(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),multiply(X_506,X_505)) = multiply(commutator(X_506,multiply(X_16,X_16)),multiply(X_506,X_505)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),multiply(X_506,X_505)),multiply(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),multiply(X_506,X_505))) ),[1,0],$fot(commutator(X_506,multiply(X_16,X_16)))]]) ).
cnf(refute_0_8353,plain,
( inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)) != commutator(X_506,multiply(X_16,X_16))
| multiply(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),multiply(X_506,X_505)) = multiply(commutator(X_506,multiply(X_16,X_16)),multiply(X_506,X_505)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),multiply(X_506,X_505)),multiply(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),multiply(X_506,X_505))) )],[refute_0_8351,refute_0_8352]) ).
cnf(refute_0_8354,plain,
multiply(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),multiply(X_506,X_505)) = multiply(commutator(X_506,multiply(X_16,X_16)),multiply(X_506,X_505)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),commutator(X_506,multiply(X_16,X_16))) )],[refute_0_8350,refute_0_8353]) ).
cnf(refute_0_8355,plain,
( multiply(commutator(X_506,multiply(X_16,X_16)),multiply(X_506,X_505)) != multiply(X_506,multiply(commutator(X_506,multiply(X_16,X_16)),X_505))
| multiply(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),multiply(X_506,X_505)) != multiply(commutator(X_506,multiply(X_16,X_16)),multiply(X_506,X_505))
| multiply(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),multiply(X_506,X_505)) = multiply(X_506,multiply(commutator(X_506,multiply(X_16,X_16)),X_505)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),multiply(X_506,X_505)))),bind(Y0,$fot(multiply(commutator(X_506,multiply(X_16,X_16)),multiply(X_506,X_505)))),bind(Z0,$fot(multiply(X_506,multiply(commutator(X_506,multiply(X_16,X_16)),X_505))))]]) ).
cnf(refute_0_8356,plain,
( multiply(commutator(X_506,multiply(X_16,X_16)),multiply(X_506,X_505)) != multiply(X_506,multiply(commutator(X_506,multiply(X_16,X_16)),X_505))
| multiply(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),multiply(X_506,X_505)) = multiply(X_506,multiply(commutator(X_506,multiply(X_16,X_16)),X_505)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),multiply(X_506,X_505)),multiply(commutator(X_506,multiply(X_16,X_16)),multiply(X_506,X_505))) )],[refute_0_8354,refute_0_8355]) ).
cnf(refute_0_8357,plain,
multiply(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),multiply(X_506,X_505)) = multiply(X_506,multiply(commutator(X_506,multiply(X_16,X_16)),X_505)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_506,multiply(X_16,X_16)),multiply(X_506,X_505)),multiply(X_506,multiply(commutator(X_506,multiply(X_16,X_16)),X_505))) )],[refute_0_8325,refute_0_8356]) ).
cnf(refute_0_8358,plain,
( multiply(inverse(X_16),multiply(X_506,multiply(X_16,multiply(commutator(X_506,X_16),X_505)))) != multiply(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),multiply(X_506,X_505))
| multiply(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),multiply(X_506,X_505)) != multiply(X_506,multiply(commutator(X_506,multiply(X_16,X_16)),X_505))
| multiply(inverse(X_16),multiply(X_506,multiply(X_16,multiply(commutator(X_506,X_16),X_505)))) = multiply(X_506,multiply(commutator(X_506,multiply(X_16,X_16)),X_505)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_16),multiply(X_506,multiply(X_16,multiply(commutator(X_506,X_16),X_505)))),multiply(X_506,multiply(commutator(X_506,multiply(X_16,X_16)),X_505))) ),[0],$fot(multiply(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),multiply(X_506,X_505)))]]) ).
cnf(refute_0_8359,plain,
( multiply(inverse(X_16),multiply(X_506,multiply(X_16,multiply(commutator(X_506,X_16),X_505)))) != multiply(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),multiply(X_506,X_505))
| multiply(inverse(X_16),multiply(X_506,multiply(X_16,multiply(commutator(X_506,X_16),X_505)))) = multiply(X_506,multiply(commutator(X_506,multiply(X_16,X_16)),X_505)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),multiply(X_506,X_505)),multiply(X_506,multiply(commutator(X_506,multiply(X_16,X_16)),X_505))) )],[refute_0_8357,refute_0_8358]) ).
cnf(refute_0_8360,plain,
( multiply(identity,multiply(inverse(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),X_505)) != multiply(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),multiply(X_506,X_505))
| multiply(inverse(X_16),multiply(X_506,multiply(X_16,multiply(commutator(X_506,X_16),X_505)))) = multiply(X_506,multiply(commutator(X_506,multiply(X_16,X_16)),X_505)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_16),multiply(X_506,multiply(X_16,multiply(commutator(X_506,X_16),X_505)))),multiply(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),multiply(X_506,X_505))) )],[refute_0_8324,refute_0_8359]) ).
cnf(refute_0_8361,plain,
multiply(inverse(X_16),multiply(X_506,multiply(X_16,multiply(commutator(X_506,X_16),X_505)))) = multiply(X_506,multiply(commutator(X_506,multiply(X_16,X_16)),X_505)),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(inverse(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16))),X_505)),multiply(inverse(multiply(multiply(commutator(X_16,X_506),multiply(inverse(multiply(X_506,X_16)),X_16)),X_506)),multiply(X_506,X_505))) )],[refute_0_8297,refute_0_8360]) ).
cnf(refute_0_8362,plain,
multiply(inverse(X_512),multiply(X_256,multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_256,X_255))))) = multiply(X_256,multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255))),
inference(subst,[],[refute_0_8361:[bind(X_16,$fot(X_512)),bind(X_505,$fot(commutator(X_256,X_255))),bind(X_506,$fot(X_256))]]) ).
cnf(refute_0_8363,plain,
multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_256,X_255)) = multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_256,X_255))),
inference(subst,[],[associativity:[bind(X,$fot(X_512)),bind(Y,$fot(commutator(X_256,X_512))),bind(Z,$fot(commutator(X_256,X_255)))]]) ).
cnf(refute_0_8364,plain,
multiply(X_256,multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_256,X_255))) = multiply(X_256,multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_256,X_255))),
introduced(tautology,[refl,[$fot(multiply(X_256,multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_256,X_255))))]]) ).
cnf(refute_0_8365,plain,
( multiply(X_256,multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_256,X_255))) != multiply(X_256,multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_256,X_255)))
| multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_256,X_255)) != multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_256,X_255)))
| multiply(X_256,multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_256,X_255))) = multiply(X_256,multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_256,X_255)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_256,multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_256,X_255))),multiply(X_256,multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_256,X_255)))) ),[1,1],$fot(multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_256,X_255))))]]) ).
cnf(refute_0_8366,plain,
( multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_256,X_255)) != multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_256,X_255)))
| multiply(X_256,multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_256,X_255))) = multiply(X_256,multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_256,X_255)))) ),
inference(resolve,[$cnf( $equal(multiply(X_256,multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_256,X_255))),multiply(X_256,multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_256,X_255)))) )],[refute_0_8364,refute_0_8365]) ).
cnf(refute_0_8367,plain,
multiply(X_256,multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_256,X_255))) = multiply(X_256,multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_256,X_255)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_256,X_255)),multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_256,X_255)))) )],[refute_0_8363,refute_0_8366]) ).
cnf(refute_0_8368,plain,
multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_256,X_255)) = multiply(X_256,multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_256,X_255))),
inference(subst,[],[associativity:[bind(X,$fot(X_256)),bind(Y,$fot(multiply(X_512,commutator(X_256,X_512)))),bind(Z,$fot(commutator(X_256,X_255)))]]) ).
cnf(refute_0_8369,plain,
( multiply(X_256,multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_256,X_255))) != multiply(X_256,multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_256,X_255))))
| multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_256,X_255)) != multiply(X_256,multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_256,X_255)))
| multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_256,X_255)) = multiply(X_256,multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_256,X_255)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_256,X_255)))),bind(Y0,$fot(multiply(X_256,multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_256,X_255))))),bind(Z0,$fot(multiply(X_256,multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_256,X_255))))))]]) ).
cnf(refute_0_8370,plain,
( multiply(X_256,multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_256,X_255))) != multiply(X_256,multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_256,X_255))))
| multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_256,X_255)) = multiply(X_256,multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_256,X_255)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_256,X_255)),multiply(X_256,multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_256,X_255)))) )],[refute_0_8368,refute_0_8369]) ).
cnf(refute_0_8371,plain,
multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_256,X_255)) = multiply(X_256,multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_256,X_255)))),
inference(resolve,[$cnf( $equal(multiply(X_256,multiply(multiply(X_512,commutator(X_256,X_512)),commutator(X_256,X_255))),multiply(X_256,multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_256,X_255))))) )],[refute_0_8367,refute_0_8370]) ).
cnf(refute_0_8372,plain,
multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_256,X_255))) = multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_256,X_255))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_256,X_255))))]]) ).
cnf(refute_0_8373,plain,
( multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_256,X_255)) != multiply(X_256,multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_256,X_255))))
| multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_256,X_255))) != multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_256,X_255)))
| multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_256,X_255))) = multiply(inverse(X_512),multiply(X_256,multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_256,X_255))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_256,X_255))),multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_256,X_255)))) ),[1,1],$fot(multiply(X_256,multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_256,X_255)))))]]) ).
cnf(refute_0_8374,plain,
( multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_256,X_255)) != multiply(X_256,multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_256,X_255))))
| multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_256,X_255))) = multiply(inverse(X_512),multiply(X_256,multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_256,X_255))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_256,X_255))),multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_256,X_255)))) )],[refute_0_8372,refute_0_8373]) ).
cnf(refute_0_8375,plain,
multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_256,X_255))) = multiply(inverse(X_512),multiply(X_256,multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_256,X_255))))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_256,X_255)),multiply(X_256,multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_256,X_255))))) )],[refute_0_8371,refute_0_8374]) ).
cnf(refute_0_8376,plain,
( multiply(inverse(X_512),multiply(X_256,multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_256,X_255))))) != multiply(X_256,multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255)))
| multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_256,X_255))) != multiply(inverse(X_512),multiply(X_256,multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_256,X_255)))))
| multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_256,X_255))) = multiply(X_256,multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_256,X_255))))),bind(Y0,$fot(multiply(inverse(X_512),multiply(X_256,multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_256,X_255))))))),bind(Z0,$fot(multiply(X_256,multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255)))))]]) ).
cnf(refute_0_8377,plain,
( multiply(inverse(X_512),multiply(X_256,multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_256,X_255))))) != multiply(X_256,multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255)))
| multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_256,X_255))) = multiply(X_256,multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_256,X_255))),multiply(inverse(X_512),multiply(X_256,multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_256,X_255)))))) )],[refute_0_8375,refute_0_8376]) ).
cnf(refute_0_8378,plain,
multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_256,X_255))) = multiply(X_256,multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_512),multiply(X_256,multiply(X_512,multiply(commutator(X_256,X_512),commutator(X_256,X_255))))),multiply(X_256,multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255)))) )],[refute_0_8362,refute_0_8377]) ).
cnf(refute_0_8379,plain,
multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255)) = multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_256,X_255))),
inference(subst,[],[associativity:[bind(X,$fot(inverse(X_512))),bind(Y,$fot(multiply(X_256,multiply(X_512,commutator(X_256,X_512))))),bind(Z,$fot(commutator(X_256,X_255)))]]) ).
cnf(refute_0_8380,plain,
( multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255)) != multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_256,X_255)))
| multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_256,X_255))) != multiply(X_256,multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255)))
| multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255)) = multiply(X_256,multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255)))),bind(Y0,$fot(multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_256,X_255))))),bind(Z0,$fot(multiply(X_256,multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255)))))]]) ).
cnf(refute_0_8381,plain,
( multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_256,X_255))) != multiply(X_256,multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255)))
| multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255)) = multiply(X_256,multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255)),multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_256,X_255)))) )],[refute_0_8379,refute_0_8380]) ).
cnf(refute_0_8382,plain,
multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255)) = multiply(X_256,multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_512),multiply(multiply(X_256,multiply(X_512,commutator(X_256,X_512))),commutator(X_256,X_255))),multiply(X_256,multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255)))) )],[refute_0_8378,refute_0_8381]) ).
cnf(refute_0_8383,plain,
multiply(commutator(X_255,X_256),multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255))) = multiply(commutator(X_255,X_256),multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255))),
introduced(tautology,[refl,[$fot(multiply(commutator(X_255,X_256),multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255))))]]) ).
cnf(refute_0_8384,plain,
( multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255)) != multiply(X_256,multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255)))
| multiply(commutator(X_255,X_256),multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255))) != multiply(commutator(X_255,X_256),multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255)))
| multiply(commutator(X_255,X_256),multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255))) = multiply(commutator(X_255,X_256),multiply(X_256,multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_255,X_256),multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255))),multiply(commutator(X_255,X_256),multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255)))) ),[1,1],$fot(multiply(X_256,multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255))))]]) ).
cnf(refute_0_8385,plain,
( multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255)) != multiply(X_256,multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255)))
| multiply(commutator(X_255,X_256),multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255))) = multiply(commutator(X_255,X_256),multiply(X_256,multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255)))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,X_256),multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255))),multiply(commutator(X_255,X_256),multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255)))) )],[refute_0_8383,refute_0_8384]) ).
cnf(refute_0_8386,plain,
multiply(commutator(X_255,X_256),multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255))) = multiply(commutator(X_255,X_256),multiply(X_256,multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255)))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255)),multiply(X_256,multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255)))) )],[refute_0_8382,refute_0_8385]) ).
cnf(refute_0_8387,plain,
( multiply(commutator(X_255,X_256),multiply(X_256,multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255)))) != multiply(X_256,commutator(X_256,multiply(X_512,X_512)))
| multiply(commutator(X_255,X_256),multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255))) != multiply(commutator(X_255,X_256),multiply(X_256,multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255))))
| multiply(commutator(X_255,X_256),multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255))) = multiply(X_256,commutator(X_256,multiply(X_512,X_512))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_255,X_256),multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255))))),bind(Y0,$fot(multiply(commutator(X_255,X_256),multiply(X_256,multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255)))))),bind(Z0,$fot(multiply(X_256,commutator(X_256,multiply(X_512,X_512)))))]]) ).
cnf(refute_0_8388,plain,
( multiply(commutator(X_255,X_256),multiply(X_256,multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255)))) != multiply(X_256,commutator(X_256,multiply(X_512,X_512)))
| multiply(commutator(X_255,X_256),multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255))) = multiply(X_256,commutator(X_256,multiply(X_512,X_512))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,X_256),multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255))),multiply(commutator(X_255,X_256),multiply(X_256,multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255))))) )],[refute_0_8386,refute_0_8387]) ).
cnf(refute_0_8389,plain,
multiply(commutator(X_255,X_256),multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255))) = multiply(X_256,commutator(X_256,multiply(X_512,X_512))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,X_256),multiply(X_256,multiply(commutator(X_256,multiply(X_512,X_512)),commutator(X_256,X_255)))),multiply(X_256,commutator(X_256,multiply(X_512,X_512)))) )],[refute_0_8292,refute_0_8388]) ).
cnf(refute_0_8390,plain,
( multiply(commutator(X_255,X_256),multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255))) != multiply(X_256,commutator(X_256,multiply(X_512,X_512)))
| multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))) != multiply(commutator(X_255,X_256),multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255)))
| multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))) = multiply(X_256,commutator(X_256,multiply(X_512,X_512))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),multiply(commutator(X_255,X_256),multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255)))) ),[1],$fot(multiply(X_256,commutator(X_256,multiply(X_512,X_512))))]]) ).
cnf(refute_0_8391,plain,
( multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))) != multiply(commutator(X_255,X_256),multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255)))
| multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))) = multiply(X_256,commutator(X_256,multiply(X_512,X_512))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_255,X_256),multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255))),multiply(X_256,commutator(X_256,multiply(X_512,X_512)))) )],[refute_0_8389,refute_0_8390]) ).
cnf(refute_0_8392,plain,
( multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_255,identity)) != multiply(commutator(X_255,X_256),multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255)))
| multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))) = multiply(X_256,commutator(X_256,multiply(X_512,X_512))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),multiply(commutator(X_255,X_256),multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255)))) )],[refute_0_8263,refute_0_8391]) ).
cnf(refute_0_8393,plain,
multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))) = multiply(X_256,commutator(X_256,multiply(X_512,X_512))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_255,identity)),multiply(commutator(X_255,X_256),multiply(multiply(inverse(X_512),multiply(X_256,multiply(X_512,commutator(X_256,X_512)))),commutator(X_256,X_255)))) )],[refute_0_8228,refute_0_8392]) ).
cnf(refute_0_8394,plain,
multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))) = multiply(X_58,commutator(X_58,multiply(X_512,X_512))),
inference(subst,[],[refute_0_8393:[bind(X_256,$fot(X_58))]]) ).
cnf(refute_0_8395,plain,
multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),identity) = multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),
inference(subst,[],[refute_0_100:[bind(X_16,$fot(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512))))))]]) ).
cnf(refute_0_8396,plain,
( multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),identity) != multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512))))
| multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))) != multiply(X_58,commutator(X_58,multiply(X_512,X_512)))
| multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),identity) = multiply(X_58,commutator(X_58,multiply(X_512,X_512))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),identity))),bind(Y0,$fot(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))))),bind(Z0,$fot(multiply(X_58,commutator(X_58,multiply(X_512,X_512)))))]]) ).
cnf(refute_0_8397,plain,
( multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))) != multiply(X_58,commutator(X_58,multiply(X_512,X_512)))
| multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),identity) = multiply(X_58,commutator(X_58,multiply(X_512,X_512))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),identity),multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512))))) )],[refute_0_8395,refute_0_8396]) ).
cnf(refute_0_8398,plain,
multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),identity) = multiply(X_58,commutator(X_58,multiply(X_512,X_512))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),multiply(X_58,commutator(X_58,multiply(X_512,X_512)))) )],[refute_0_8394,refute_0_8397]) ).
cnf(refute_0_8399,plain,
inverse(multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),identity)) = inverse(multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),identity)),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),identity)))]]) ).
cnf(refute_0_8400,plain,
( multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),identity) != multiply(X_58,commutator(X_58,multiply(X_512,X_512)))
| inverse(multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),identity)) != inverse(multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),identity))
| inverse(multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),identity)) = inverse(multiply(X_58,commutator(X_58,multiply(X_512,X_512)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),identity)),inverse(multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),identity))) ),[1,0],$fot(multiply(X_58,commutator(X_58,multiply(X_512,X_512))))]]) ).
cnf(refute_0_8401,plain,
( multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),identity) != multiply(X_58,commutator(X_58,multiply(X_512,X_512)))
| inverse(multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),identity)) = inverse(multiply(X_58,commutator(X_58,multiply(X_512,X_512)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),identity)),inverse(multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),identity))) )],[refute_0_8399,refute_0_8400]) ).
cnf(refute_0_8402,plain,
inverse(multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),identity)) = inverse(multiply(X_58,commutator(X_58,multiply(X_512,X_512)))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),identity),multiply(X_58,commutator(X_58,multiply(X_512,X_512)))) )],[refute_0_8398,refute_0_8401]) ).
cnf(refute_0_8403,plain,
( multiply(commutator(X_512,X_58),multiply(inverse(multiply(X_58,X_512)),X_512)) != inverse(multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),identity))
| inverse(multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),identity)) != inverse(multiply(X_58,commutator(X_58,multiply(X_512,X_512))))
| multiply(commutator(X_512,X_58),multiply(inverse(multiply(X_58,X_512)),X_512)) = inverse(multiply(X_58,commutator(X_58,multiply(X_512,X_512)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(commutator(X_512,X_58),multiply(inverse(multiply(X_58,X_512)),X_512)),inverse(multiply(X_58,commutator(X_58,multiply(X_512,X_512))))) ),[0],$fot(inverse(multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),identity)))]]) ).
cnf(refute_0_8404,plain,
( multiply(commutator(X_512,X_58),multiply(inverse(multiply(X_58,X_512)),X_512)) != inverse(multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),identity))
| multiply(commutator(X_512,X_58),multiply(inverse(multiply(X_58,X_512)),X_512)) = inverse(multiply(X_58,commutator(X_58,multiply(X_512,X_512)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),identity)),inverse(multiply(X_58,commutator(X_58,multiply(X_512,X_512))))) )],[refute_0_8402,refute_0_8403]) ).
cnf(refute_0_8405,plain,
( multiply(X_58,inverse(multiply(X_58,multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512))))))) != inverse(multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),identity))
| multiply(commutator(X_512,X_58),multiply(inverse(multiply(X_58,X_512)),X_512)) = inverse(multiply(X_58,commutator(X_58,multiply(X_512,X_512)))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_512,X_58),multiply(inverse(multiply(X_58,X_512)),X_512)),inverse(multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),identity))) )],[refute_0_8221,refute_0_8404]) ).
cnf(refute_0_8406,plain,
multiply(commutator(X_512,X_58),multiply(inverse(multiply(X_58,X_512)),X_512)) = inverse(multiply(X_58,commutator(X_58,multiply(X_512,X_512)))),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(multiply(X_58,multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512))))))),inverse(multiply(multiply(inverse(X_512),multiply(X_58,multiply(X_512,commutator(X_58,X_512)))),identity))) )],[refute_0_6814,refute_0_8405]) ).
cnf(refute_0_8407,plain,
multiply(commutator(X_455,X_454),multiply(inverse(multiply(X_454,X_455)),X_455)) = inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455)))),
inference(subst,[],[refute_0_8406:[bind(X_512,$fot(X_455)),bind(X_58,$fot(X_454))]]) ).
cnf(refute_0_8408,plain,
multiply(commutator(X_506,X_507),multiply(inverse(X_507),commutator(inverse(X_507),Y))) = multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(inverse(X_507),Y))),
inference(subst,[],[refute_0_2844:[bind(Z,$fot(commutator(inverse(X_507),Y))),bind(X_255,$fot(X_506)),bind(X_256,$fot(X_507))]]) ).
cnf(refute_0_8409,plain,
multiply(inverse(Y),multiply(inverse(X_507),Y)) = multiply(inverse(X_507),commutator(inverse(X_507),Y)),
inference(subst,[],[refute_0_254:[bind(X_27,$fot(inverse(X_507)))]]) ).
cnf(refute_0_8410,plain,
( multiply(inverse(Y),multiply(inverse(X_507),Y)) != multiply(inverse(X_507),commutator(inverse(X_507),Y))
| multiply(inverse(X_507),commutator(inverse(X_507),Y)) = multiply(inverse(Y),multiply(inverse(X_507),Y)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(inverse(Y),multiply(inverse(X_507),Y)))),bind(Y0,$fot(multiply(inverse(X_507),commutator(inverse(X_507),Y))))]]) ).
cnf(refute_0_8411,plain,
multiply(inverse(X_507),commutator(inverse(X_507),Y)) = multiply(inverse(Y),multiply(inverse(X_507),Y)),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),multiply(inverse(X_507),Y)),multiply(inverse(X_507),commutator(inverse(X_507),Y))) )],[refute_0_8409,refute_0_8410]) ).
cnf(refute_0_8412,plain,
( multiply(commutator(X_506,X_507),multiply(inverse(X_507),commutator(inverse(X_507),Y))) != multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(inverse(X_507),Y)))
| multiply(inverse(X_507),commutator(inverse(X_507),Y)) != multiply(inverse(Y),multiply(inverse(X_507),Y))
| multiply(commutator(X_506,X_507),multiply(inverse(Y),multiply(inverse(X_507),Y))) = multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(inverse(X_507),Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_506,X_507),multiply(inverse(X_507),commutator(inverse(X_507),Y))),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(inverse(X_507),Y)))) ),[0,1],$fot(multiply(inverse(Y),multiply(inverse(X_507),Y)))]]) ).
cnf(refute_0_8413,plain,
( multiply(commutator(X_506,X_507),multiply(inverse(X_507),commutator(inverse(X_507),Y))) != multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(inverse(X_507),Y)))
| multiply(commutator(X_506,X_507),multiply(inverse(Y),multiply(inverse(X_507),Y))) = multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(inverse(X_507),Y))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_507),commutator(inverse(X_507),Y)),multiply(inverse(Y),multiply(inverse(X_507),Y))) )],[refute_0_8411,refute_0_8412]) ).
cnf(refute_0_8414,plain,
multiply(commutator(X_506,X_507),multiply(inverse(Y),multiply(inverse(X_507),Y))) = multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(inverse(X_507),Y))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_506,X_507),multiply(inverse(X_507),commutator(inverse(X_507),Y))),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(inverse(X_507),Y)))) )],[refute_0_8408,refute_0_8413]) ).
cnf(refute_0_8415,plain,
multiply(inverse(Y),multiply(inverse(X_507),Y)) = multiply(inverse(multiply(X_507,Y)),Y),
inference(subst,[],[refute_0_242:[bind(Z,$fot(Y)),bind(X_62,$fot(Y)),bind(X_63,$fot(X_507))]]) ).
cnf(refute_0_8416,plain,
multiply(commutator(X_506,X_507),multiply(inverse(Y),multiply(inverse(X_507),Y))) = multiply(commutator(X_506,X_507),multiply(inverse(Y),multiply(inverse(X_507),Y))),
introduced(tautology,[refl,[$fot(multiply(commutator(X_506,X_507),multiply(inverse(Y),multiply(inverse(X_507),Y))))]]) ).
cnf(refute_0_8417,plain,
( multiply(commutator(X_506,X_507),multiply(inverse(Y),multiply(inverse(X_507),Y))) != multiply(commutator(X_506,X_507),multiply(inverse(Y),multiply(inverse(X_507),Y)))
| multiply(inverse(Y),multiply(inverse(X_507),Y)) != multiply(inverse(multiply(X_507,Y)),Y)
| multiply(commutator(X_506,X_507),multiply(inverse(Y),multiply(inverse(X_507),Y))) = multiply(commutator(X_506,X_507),multiply(inverse(multiply(X_507,Y)),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_506,X_507),multiply(inverse(Y),multiply(inverse(X_507),Y))),multiply(commutator(X_506,X_507),multiply(inverse(Y),multiply(inverse(X_507),Y)))) ),[1,1],$fot(multiply(inverse(multiply(X_507,Y)),Y))]]) ).
cnf(refute_0_8418,plain,
( multiply(inverse(Y),multiply(inverse(X_507),Y)) != multiply(inverse(multiply(X_507,Y)),Y)
| multiply(commutator(X_506,X_507),multiply(inverse(Y),multiply(inverse(X_507),Y))) = multiply(commutator(X_506,X_507),multiply(inverse(multiply(X_507,Y)),Y)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_506,X_507),multiply(inverse(Y),multiply(inverse(X_507),Y))),multiply(commutator(X_506,X_507),multiply(inverse(Y),multiply(inverse(X_507),Y)))) )],[refute_0_8416,refute_0_8417]) ).
cnf(refute_0_8419,plain,
multiply(commutator(X_506,X_507),multiply(inverse(Y),multiply(inverse(X_507),Y))) = multiply(commutator(X_506,X_507),multiply(inverse(multiply(X_507,Y)),Y)),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),multiply(inverse(X_507),Y)),multiply(inverse(multiply(X_507,Y)),Y)) )],[refute_0_8415,refute_0_8418]) ).
cnf(refute_0_8420,plain,
( multiply(commutator(X_506,X_507),multiply(inverse(Y),multiply(inverse(X_507),Y))) != multiply(commutator(X_506,X_507),multiply(inverse(multiply(X_507,Y)),Y))
| multiply(commutator(X_506,X_507),multiply(inverse(Y),multiply(inverse(X_507),Y))) != multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(inverse(X_507),Y)))
| multiply(commutator(X_506,X_507),multiply(inverse(multiply(X_507,Y)),Y)) = multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(inverse(X_507),Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_506,X_507),multiply(inverse(Y),multiply(inverse(X_507),Y))),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(inverse(X_507),Y)))) ),[0],$fot(multiply(commutator(X_506,X_507),multiply(inverse(multiply(X_507,Y)),Y)))]]) ).
cnf(refute_0_8421,plain,
( multiply(commutator(X_506,X_507),multiply(inverse(Y),multiply(inverse(X_507),Y))) != multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(inverse(X_507),Y)))
| multiply(commutator(X_506,X_507),multiply(inverse(multiply(X_507,Y)),Y)) = multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(inverse(X_507),Y))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_506,X_507),multiply(inverse(Y),multiply(inverse(X_507),Y))),multiply(commutator(X_506,X_507),multiply(inverse(multiply(X_507,Y)),Y))) )],[refute_0_8419,refute_0_8420]) ).
cnf(refute_0_8422,plain,
commutator(inverse(X_507),Y) = commutator(Y,X_507),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(X_507)),bind(X_110,$fot(Y))]]) ).
cnf(refute_0_8423,plain,
multiply(X_506,commutator(inverse(X_507),Y)) = multiply(X_506,commutator(inverse(X_507),Y)),
introduced(tautology,[refl,[$fot(multiply(X_506,commutator(inverse(X_507),Y)))]]) ).
cnf(refute_0_8424,plain,
( multiply(X_506,commutator(inverse(X_507),Y)) != multiply(X_506,commutator(inverse(X_507),Y))
| commutator(inverse(X_507),Y) != commutator(Y,X_507)
| multiply(X_506,commutator(inverse(X_507),Y)) = multiply(X_506,commutator(Y,X_507)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_506,commutator(inverse(X_507),Y)),multiply(X_506,commutator(inverse(X_507),Y))) ),[1,1],$fot(commutator(Y,X_507))]]) ).
cnf(refute_0_8425,plain,
( commutator(inverse(X_507),Y) != commutator(Y,X_507)
| multiply(X_506,commutator(inverse(X_507),Y)) = multiply(X_506,commutator(Y,X_507)) ),
inference(resolve,[$cnf( $equal(multiply(X_506,commutator(inverse(X_507),Y)),multiply(X_506,commutator(inverse(X_507),Y))) )],[refute_0_8423,refute_0_8424]) ).
cnf(refute_0_8426,plain,
multiply(X_506,commutator(inverse(X_507),Y)) = multiply(X_506,commutator(Y,X_507)),
inference(resolve,[$cnf( $equal(commutator(inverse(X_507),Y),commutator(Y,X_507)) )],[refute_0_8422,refute_0_8425]) ).
cnf(refute_0_8427,plain,
multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(inverse(X_507),Y))) = multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(inverse(X_507),Y))),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(inverse(X_507),Y))))]]) ).
cnf(refute_0_8428,plain,
( multiply(X_506,commutator(inverse(X_507),Y)) != multiply(X_506,commutator(Y,X_507))
| multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(inverse(X_507),Y))) != multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(inverse(X_507),Y)))
| multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(inverse(X_507),Y))) = multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(Y,X_507))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(inverse(X_507),Y))),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(inverse(X_507),Y)))) ),[1,1],$fot(multiply(X_506,commutator(Y,X_507)))]]) ).
cnf(refute_0_8429,plain,
( multiply(X_506,commutator(inverse(X_507),Y)) != multiply(X_506,commutator(Y,X_507))
| multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(inverse(X_507),Y))) = multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(Y,X_507))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(inverse(X_507),Y))),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(inverse(X_507),Y)))) )],[refute_0_8427,refute_0_8428]) ).
cnf(refute_0_8430,plain,
multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(inverse(X_507),Y))) = multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(Y,X_507))),
inference(resolve,[$cnf( $equal(multiply(X_506,commutator(inverse(X_507),Y)),multiply(X_506,commutator(Y,X_507))) )],[refute_0_8426,refute_0_8429]) ).
cnf(refute_0_8431,plain,
( multiply(commutator(X_506,X_507),multiply(inverse(multiply(X_507,Y)),Y)) != multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(inverse(X_507),Y)))
| multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(inverse(X_507),Y))) != multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(Y,X_507)))
| multiply(commutator(X_506,X_507),multiply(inverse(multiply(X_507,Y)),Y)) = multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(Y,X_507))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(commutator(X_506,X_507),multiply(inverse(multiply(X_507,Y)),Y)),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(Y,X_507)))) ),[0],$fot(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(inverse(X_507),Y))))]]) ).
cnf(refute_0_8432,plain,
( multiply(commutator(X_506,X_507),multiply(inverse(multiply(X_507,Y)),Y)) != multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(inverse(X_507),Y)))
| multiply(commutator(X_506,X_507),multiply(inverse(multiply(X_507,Y)),Y)) = multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(Y,X_507))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(inverse(X_507),Y))),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(Y,X_507)))) )],[refute_0_8430,refute_0_8431]) ).
cnf(refute_0_8433,plain,
( multiply(commutator(X_506,X_507),multiply(inverse(Y),multiply(inverse(X_507),Y))) != multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(inverse(X_507),Y)))
| multiply(commutator(X_506,X_507),multiply(inverse(multiply(X_507,Y)),Y)) = multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(Y,X_507))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_506,X_507),multiply(inverse(multiply(X_507,Y)),Y)),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(inverse(X_507),Y)))) )],[refute_0_8421,refute_0_8432]) ).
cnf(refute_0_8434,plain,
multiply(commutator(X_506,X_507),multiply(inverse(multiply(X_507,Y)),Y)) = multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(Y,X_507))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_506,X_507),multiply(inverse(Y),multiply(inverse(X_507),Y))),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(inverse(X_507),Y)))) )],[refute_0_8414,refute_0_8433]) ).
cnf(refute_0_8435,plain,
( multiply(commutator(X_506,X_507),multiply(inverse(multiply(X_507,Y)),Y)) != multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(Y,X_507)))
| multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(Y,X_507))) = multiply(commutator(X_506,X_507),multiply(inverse(multiply(X_507,Y)),Y)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(commutator(X_506,X_507),multiply(inverse(multiply(X_507,Y)),Y)))),bind(Y0,$fot(multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(Y,X_507)))))]]) ).
cnf(refute_0_8436,plain,
multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(Y,X_507))) = multiply(commutator(X_506,X_507),multiply(inverse(multiply(X_507,Y)),Y)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_506,X_507),multiply(inverse(multiply(X_507,Y)),Y)),multiply(inverse(multiply(X_507,X_506)),multiply(X_506,commutator(Y,X_507)))) )],[refute_0_8434,refute_0_8435]) ).
cnf(refute_0_8437,plain,
multiply(inverse(multiply(X_454,X_455)),multiply(X_455,commutator(X_455,X_454))) = multiply(commutator(X_455,X_454),multiply(inverse(multiply(X_454,X_455)),X_455)),
inference(subst,[],[refute_0_8436:[bind(Y,$fot(X_455)),bind(X_506,$fot(X_455)),bind(X_507,$fot(X_454))]]) ).
cnf(refute_0_8438,plain,
( multiply(commutator(X_455,X_454),multiply(inverse(multiply(X_454,X_455)),X_455)) != inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455))))
| multiply(inverse(multiply(X_454,X_455)),multiply(X_455,commutator(X_455,X_454))) != multiply(commutator(X_455,X_454),multiply(inverse(multiply(X_454,X_455)),X_455))
| multiply(inverse(multiply(X_454,X_455)),multiply(X_455,commutator(X_455,X_454))) = inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_454,X_455)),multiply(X_455,commutator(X_455,X_454))))),bind(Y0,$fot(multiply(commutator(X_455,X_454),multiply(inverse(multiply(X_454,X_455)),X_455)))),bind(Z0,$fot(inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455))))))]]) ).
cnf(refute_0_8439,plain,
( multiply(commutator(X_455,X_454),multiply(inverse(multiply(X_454,X_455)),X_455)) != inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455))))
| multiply(inverse(multiply(X_454,X_455)),multiply(X_455,commutator(X_455,X_454))) = inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_454,X_455)),multiply(X_455,commutator(X_455,X_454))),multiply(commutator(X_455,X_454),multiply(inverse(multiply(X_454,X_455)),X_455))) )],[refute_0_8437,refute_0_8438]) ).
cnf(refute_0_8440,plain,
multiply(inverse(multiply(X_454,X_455)),multiply(X_455,commutator(X_455,X_454))) = inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455)))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_455,X_454),multiply(inverse(multiply(X_454,X_455)),X_455)),inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455))))) )],[refute_0_8407,refute_0_8439]) ).
cnf(refute_0_8441,plain,
multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) = multiply(inverse(multiply(X_454,X_455)),multiply(X_455,commutator(X_455,X_454))),
inference(subst,[],[refute_0_242:[bind(Z,$fot(multiply(X_455,commutator(X_455,X_454)))),bind(X_62,$fot(X_455)),bind(X_63,$fot(X_454))]]) ).
cnf(refute_0_8442,plain,
( multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) != multiply(inverse(multiply(X_454,X_455)),multiply(X_455,commutator(X_455,X_454)))
| multiply(inverse(multiply(X_454,X_455)),multiply(X_455,commutator(X_455,X_454))) != inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455))))
| multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) = inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))))),bind(Y0,$fot(multiply(inverse(multiply(X_454,X_455)),multiply(X_455,commutator(X_455,X_454))))),bind(Z0,$fot(inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455))))))]]) ).
cnf(refute_0_8443,plain,
( multiply(inverse(multiply(X_454,X_455)),multiply(X_455,commutator(X_455,X_454))) != inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455))))
| multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) = inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),multiply(inverse(multiply(X_454,X_455)),multiply(X_455,commutator(X_455,X_454)))) )],[refute_0_8441,refute_0_8442]) ).
cnf(refute_0_8444,plain,
multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) = inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455)))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_454,X_455)),multiply(X_455,commutator(X_455,X_454))),inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455))))) )],[refute_0_8440,refute_0_8443]) ).
cnf(refute_0_8445,plain,
multiply(X_454,multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))))) = multiply(X_454,multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))))),
introduced(tautology,[refl,[$fot(multiply(X_454,multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))))))]]) ).
cnf(refute_0_8446,plain,
( multiply(X_454,multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))))) != multiply(X_454,multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))))
| multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) != inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455))))
| multiply(X_454,multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))))) = multiply(X_454,inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_454,multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))))),multiply(X_454,multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))))) ),[1,1],$fot(inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455)))))]]) ).
cnf(refute_0_8447,plain,
( multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) != inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455))))
| multiply(X_454,multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))))) = multiply(X_454,inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455))))) ),
inference(resolve,[$cnf( $equal(multiply(X_454,multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))))),multiply(X_454,multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))))) )],[refute_0_8445,refute_0_8446]) ).
cnf(refute_0_8448,plain,
multiply(X_454,multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))))) = multiply(X_454,inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455))))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455))))) )],[refute_0_8444,refute_0_8447]) ).
cnf(refute_0_8449,plain,
( multiply(X_454,multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))))) != multiply(X_454,inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455)))))
| multiply(X_454,inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455))))) != commutator(multiply(X_455,X_455),X_454)
| multiply(X_454,multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))))) = commutator(multiply(X_455,X_455),X_454) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_454,multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))))))),bind(Y0,$fot(multiply(X_454,inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455))))))),bind(Z0,$fot(commutator(multiply(X_455,X_455),X_454)))]]) ).
cnf(refute_0_8450,plain,
( multiply(X_454,inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455))))) != commutator(multiply(X_455,X_455),X_454)
| multiply(X_454,multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))))) = commutator(multiply(X_455,X_455),X_454) ),
inference(resolve,[$cnf( $equal(multiply(X_454,multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))))),multiply(X_454,inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455)))))) )],[refute_0_8448,refute_0_8449]) ).
cnf(refute_0_8451,plain,
multiply(X_454,multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))))) = commutator(multiply(X_455,X_455),X_454),
inference(resolve,[$cnf( $equal(multiply(X_454,inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455))))),commutator(multiply(X_455,X_455),X_454)) )],[refute_0_6236,refute_0_8450]) ).
cnf(refute_0_8452,plain,
multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) = multiply(X_454,multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))))),
inference(subst,[],[associativity:[bind(X,$fot(X_454)),bind(Y,$fot(inverse(X_455))),bind(Z,$fot(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))))]]) ).
cnf(refute_0_8453,plain,
( multiply(X_454,multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))))) != commutator(multiply(X_455,X_455),X_454)
| multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) != multiply(X_454,multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))))
| multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) = commutator(multiply(X_455,X_455),X_454) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))))),bind(Y0,$fot(multiply(X_454,multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))))))),bind(Z0,$fot(commutator(multiply(X_455,X_455),X_454)))]]) ).
cnf(refute_0_8454,plain,
( multiply(X_454,multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))))) != commutator(multiply(X_455,X_455),X_454)
| multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) = commutator(multiply(X_455,X_455),X_454) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),multiply(X_454,multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))))) )],[refute_0_8452,refute_0_8453]) ).
cnf(refute_0_8455,plain,
multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) = commutator(multiply(X_455,X_455),X_454),
inference(resolve,[$cnf( $equal(multiply(X_454,multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))))),commutator(multiply(X_455,X_455),X_454)) )],[refute_0_8451,refute_0_8454]) ).
cnf(refute_0_8456,plain,
commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662) = commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662),
introduced(tautology,[refl,[$fot(commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662))]]) ).
cnf(refute_0_8457,plain,
( multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) != commutator(multiply(X_455,X_455),X_454)
| commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662) != commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662)
| commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662) = commutator(commutator(multiply(X_455,X_455),X_454),X_662) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662),commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662)) ),[1,0],$fot(commutator(multiply(X_455,X_455),X_454))]]) ).
cnf(refute_0_8458,plain,
( multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) != commutator(multiply(X_455,X_455),X_454)
| commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662) = commutator(commutator(multiply(X_455,X_455),X_454),X_662) ),
inference(resolve,[$cnf( $equal(commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662),commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662)) )],[refute_0_8456,refute_0_8457]) ).
cnf(refute_0_8459,plain,
commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662) = commutator(commutator(multiply(X_455,X_455),X_454),X_662),
inference(resolve,[$cnf( $equal(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),commutator(multiply(X_455,X_455),X_454)) )],[refute_0_8455,refute_0_8458]) ).
cnf(refute_0_8460,plain,
( commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662) != commutator(commutator(multiply(X_455,X_455),X_454),X_662)
| commutator(commutator(multiply(X_455,X_455),X_454),X_662) != identity
| commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662) = identity ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662))),bind(Y0,$fot(commutator(commutator(multiply(X_455,X_455),X_454),X_662))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_8461,plain,
( commutator(commutator(multiply(X_455,X_455),X_454),X_662) != identity
| commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662) = identity ),
inference(resolve,[$cnf( $equal(commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662),commutator(commutator(multiply(X_455,X_455),X_454),X_662)) )],[refute_0_8459,refute_0_8460]) ).
cnf(refute_0_8462,plain,
commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662) = identity,
inference(resolve,[$cnf( $equal(commutator(commutator(multiply(X_455,X_455),X_454),X_662),identity) )],[refute_0_6196,refute_0_8461]) ).
cnf(refute_0_8463,plain,
multiply(commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) = multiply(commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),
introduced(tautology,[refl,[$fot(multiply(commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))))]]) ).
cnf(refute_0_8464,plain,
( multiply(commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) != multiply(commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))))
| commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662) != identity
| multiply(commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) = multiply(identity,multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),multiply(commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_8465,plain,
( commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662) != identity
| multiply(commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) = multiply(identity,multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),multiply(commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))))) )],[refute_0_8463,refute_0_8464]) ).
cnf(refute_0_8466,plain,
multiply(commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) = multiply(identity,multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),
inference(resolve,[$cnf( $equal(commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662),identity) )],[refute_0_8462,refute_0_8465]) ).
cnf(refute_0_8467,plain,
( multiply(commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) != multiply(identity,multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))))
| multiply(identity,multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) != multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))
| multiply(commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) = multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))))),bind(Y0,$fot(multiply(identity,multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))))),bind(Z0,$fot(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))))]]) ).
cnf(refute_0_8468,plain,
( multiply(identity,multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) != multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))
| multiply(commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) = multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),multiply(identity,multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))))) )],[refute_0_8466,refute_0_8467]) ).
cnf(refute_0_8469,plain,
multiply(commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) = multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) )],[refute_0_6191,refute_0_8468]) ).
cnf(refute_0_8470,plain,
( multiply(commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) != multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))
| multiply(commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) != inverse(multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))))
| multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))) = inverse(multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),inverse(multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))))) ),[0],$fot(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))))]]) ).
cnf(refute_0_8471,plain,
( multiply(commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) != inverse(multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))))
| multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))) = inverse(multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) )],[refute_0_8469,refute_0_8470]) ).
cnf(refute_0_8472,plain,
multiply(X_455,inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455))))) = multiply(inverse(multiply(X_454,X_455)),multiply(X_455,X_455)),
inference(subst,[],[refute_0_2906:[bind(X_10,$fot(X_454)),bind(X_365,$fot(X_455)),bind(X_367,$fot(X_455))]]) ).
cnf(refute_0_8473,plain,
multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))))) = multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(X_612,commutator(multiply(X_397,X_397),Z))))),
inference(subst,[],[refute_0_5086:[bind(X_210,$fot(X_612)),bind(X_211,$fot(commutator(multiply(X_397,X_397),Z)))]]) ).
cnf(refute_0_8474,plain,
identity = commutator(X_612,commutator(multiply(X_397,X_397),Z)),
inference(subst,[],[refute_0_4840:[bind(X_113,$fot(X_612))]]) ).
cnf(refute_0_8475,plain,
( identity != commutator(X_612,commutator(multiply(X_397,X_397),Z))
| commutator(X_612,commutator(multiply(X_397,X_397),Z)) = identity ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(identity)),bind(Y0,$fot(commutator(X_612,commutator(multiply(X_397,X_397),Z))))]]) ).
cnf(refute_0_8476,plain,
commutator(X_612,commutator(multiply(X_397,X_397),Z)) = identity,
inference(resolve,[$cnf( $equal(identity,commutator(X_612,commutator(multiply(X_397,X_397),Z))) )],[refute_0_8474,refute_0_8475]) ).
cnf(refute_0_8477,plain,
( multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))))) != multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(X_612,commutator(multiply(X_397,X_397),Z)))))
| commutator(X_612,commutator(multiply(X_397,X_397),Z)) != identity
| multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))))) = multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),identity))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))))),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(X_612,commutator(multiply(X_397,X_397),Z)))))) ),[1,1,0,1],$fot(identity)]]) ).
cnf(refute_0_8478,plain,
( multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))))) != multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(X_612,commutator(multiply(X_397,X_397),Z)))))
| multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))))) = multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),identity))) ),
inference(resolve,[$cnf( $equal(commutator(X_612,commutator(multiply(X_397,X_397),Z)),identity) )],[refute_0_8476,refute_0_8477]) ).
cnf(refute_0_8479,plain,
multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))))) = multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),identity))),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))))),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(X_612,commutator(multiply(X_397,X_397),Z)))))) )],[refute_0_8473,refute_0_8478]) ).
cnf(refute_0_8480,plain,
multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,commutator(multiply(Z,Z),multiply(X_397,X_397)))) = multiply(commutator(Z,multiply(X_397,X_397)),X_612),
inference(subst,[],[refute_0_3161:[bind(X,$fot(Z)),bind(Z,$fot(multiply(X_397,X_397))),bind(X_384,$fot(X_612))]]) ).
cnf(refute_0_8481,plain,
multiply(commutator(Z,multiply(X_397,X_397)),commutator(Z,multiply(X_397,X_397))) = commutator(multiply(Z,Z),multiply(X_397,X_397)),
inference(subst,[],[refute_0_2686:[bind(X_325,$fot(multiply(X_397,X_397))),bind(X_90,$fot(Z))]]) ).
cnf(refute_0_8482,plain,
inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))) = multiply(commutator(Z,multiply(X_397,X_397)),commutator(Z,multiply(X_397,X_397))),
inference(subst,[],[refute_0_3762:[bind(X,$fot(Z)),bind(Y,$fot(multiply(X_397,X_397))),bind(X_534,$fot(Z)),bind(X_535,$fot(multiply(X_397,X_397)))]]) ).
cnf(refute_0_8483,plain,
( multiply(commutator(Z,multiply(X_397,X_397)),commutator(Z,multiply(X_397,X_397))) != commutator(multiply(Z,Z),multiply(X_397,X_397))
| inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))) != multiply(commutator(Z,multiply(X_397,X_397)),commutator(Z,multiply(X_397,X_397)))
| inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))) = commutator(multiply(Z,Z),multiply(X_397,X_397)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))))),bind(Y0,$fot(multiply(commutator(Z,multiply(X_397,X_397)),commutator(Z,multiply(X_397,X_397))))),bind(Z0,$fot(commutator(multiply(Z,Z),multiply(X_397,X_397))))]]) ).
cnf(refute_0_8484,plain,
( multiply(commutator(Z,multiply(X_397,X_397)),commutator(Z,multiply(X_397,X_397))) != commutator(multiply(Z,Z),multiply(X_397,X_397))
| inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))) = commutator(multiply(Z,Z),multiply(X_397,X_397)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))),multiply(commutator(Z,multiply(X_397,X_397)),commutator(Z,multiply(X_397,X_397)))) )],[refute_0_8482,refute_0_8483]) ).
cnf(refute_0_8485,plain,
inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))) = commutator(multiply(Z,Z),multiply(X_397,X_397)),
inference(resolve,[$cnf( $equal(multiply(commutator(Z,multiply(X_397,X_397)),commutator(Z,multiply(X_397,X_397))),commutator(multiply(Z,Z),multiply(X_397,X_397))) )],[refute_0_8481,refute_0_8484]) ).
cnf(refute_0_8486,plain,
multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z)))) = multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z)))),
introduced(tautology,[refl,[$fot(multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z)))))]]) ).
cnf(refute_0_8487,plain,
( multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z)))) != multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))))
| inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))) != commutator(multiply(Z,Z),multiply(X_397,X_397))
| multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z)))) = multiply(X_612,commutator(multiply(Z,Z),multiply(X_397,X_397))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z)))),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))))) ),[1,1],$fot(commutator(multiply(Z,Z),multiply(X_397,X_397)))]]) ).
cnf(refute_0_8488,plain,
( inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))) != commutator(multiply(Z,Z),multiply(X_397,X_397))
| multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z)))) = multiply(X_612,commutator(multiply(Z,Z),multiply(X_397,X_397))) ),
inference(resolve,[$cnf( $equal(multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z)))),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))))) )],[refute_0_8486,refute_0_8487]) ).
cnf(refute_0_8489,plain,
multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z)))) = multiply(X_612,commutator(multiply(Z,Z),multiply(X_397,X_397))),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))),commutator(multiply(Z,Z),multiply(X_397,X_397))) )],[refute_0_8485,refute_0_8488]) ).
cnf(refute_0_8490,plain,
multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))))) = multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))))),
introduced(tautology,[refl,[$fot(multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))))))]]) ).
cnf(refute_0_8491,plain,
( multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z)))) != multiply(X_612,commutator(multiply(Z,Z),multiply(X_397,X_397)))
| multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))))) != multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z)))))
| multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))))) = multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,commutator(multiply(Z,Z),multiply(X_397,X_397)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))))),multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z)))))) ),[1,1],$fot(multiply(X_612,commutator(multiply(Z,Z),multiply(X_397,X_397))))]]) ).
cnf(refute_0_8492,plain,
( multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z)))) != multiply(X_612,commutator(multiply(Z,Z),multiply(X_397,X_397)))
| multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))))) = multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,commutator(multiply(Z,Z),multiply(X_397,X_397)))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))))),multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z)))))) )],[refute_0_8490,refute_0_8491]) ).
cnf(refute_0_8493,plain,
multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))))) = multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,commutator(multiply(Z,Z),multiply(X_397,X_397)))),
inference(resolve,[$cnf( $equal(multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z)))),multiply(X_612,commutator(multiply(Z,Z),multiply(X_397,X_397)))) )],[refute_0_8489,refute_0_8492]) ).
cnf(refute_0_8494,plain,
( multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,commutator(multiply(Z,Z),multiply(X_397,X_397)))) != multiply(commutator(Z,multiply(X_397,X_397)),X_612)
| multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))))) != multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,commutator(multiply(Z,Z),multiply(X_397,X_397))))
| multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))))) = multiply(commutator(Z,multiply(X_397,X_397)),X_612) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))))))),bind(Y0,$fot(multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,commutator(multiply(Z,Z),multiply(X_397,X_397)))))),bind(Z0,$fot(multiply(commutator(Z,multiply(X_397,X_397)),X_612)))]]) ).
cnf(refute_0_8495,plain,
( multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,commutator(multiply(Z,Z),multiply(X_397,X_397)))) != multiply(commutator(Z,multiply(X_397,X_397)),X_612)
| multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))))) = multiply(commutator(Z,multiply(X_397,X_397)),X_612) ),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))))),multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,commutator(multiply(Z,Z),multiply(X_397,X_397))))) )],[refute_0_8493,refute_0_8494]) ).
cnf(refute_0_8496,plain,
multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))))) = multiply(commutator(Z,multiply(X_397,X_397)),X_612),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,commutator(multiply(Z,Z),multiply(X_397,X_397)))),multiply(commutator(Z,multiply(X_397,X_397)),X_612)) )],[refute_0_8480,refute_0_8495]) ).
cnf(refute_0_8497,plain,
( multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))))) != multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),identity)))
| multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))))) != multiply(commutator(Z,multiply(X_397,X_397)),X_612)
| multiply(commutator(Z,multiply(X_397,X_397)),X_612) = multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),identity))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))))),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),identity)))) ),[0],$fot(multiply(commutator(Z,multiply(X_397,X_397)),X_612))]]) ).
cnf(refute_0_8498,plain,
( multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))))) != multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),identity)))
| multiply(commutator(Z,multiply(X_397,X_397)),X_612) = multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),identity))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))))),multiply(commutator(Z,multiply(X_397,X_397)),X_612)) )],[refute_0_8496,refute_0_8497]) ).
cnf(refute_0_8499,plain,
inverse(commutator(multiply(X_397,X_397),Z)) = commutator(Z,multiply(X_397,X_397)),
inference(subst,[],[refute_0_386:[bind(X,$fot(Z)),bind(Y,$fot(multiply(X_397,X_397)))]]) ).
cnf(refute_0_8500,plain,
multiply(identity,commutator(multiply(X_397,X_397),Z)) = commutator(multiply(X_397,X_397),Z),
inference(subst,[],[left_identity:[bind(X,$fot(commutator(multiply(X_397,X_397),Z)))]]) ).
cnf(refute_0_8501,plain,
multiply(commutator(multiply(X_397,X_397),Z),identity) = multiply(identity,commutator(multiply(X_397,X_397),Z)),
inference(subst,[],[refute_0_6227:[bind(X,$fot(identity)),bind(X_566,$fot(Z)),bind(X_568,$fot(X_397))]]) ).
cnf(refute_0_8502,plain,
( multiply(commutator(multiply(X_397,X_397),Z),identity) != multiply(identity,commutator(multiply(X_397,X_397),Z))
| multiply(identity,commutator(multiply(X_397,X_397),Z)) != commutator(multiply(X_397,X_397),Z)
| multiply(commutator(multiply(X_397,X_397),Z),identity) = commutator(multiply(X_397,X_397),Z) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(multiply(X_397,X_397),Z),identity))),bind(Y0,$fot(multiply(identity,commutator(multiply(X_397,X_397),Z)))),bind(Z0,$fot(commutator(multiply(X_397,X_397),Z)))]]) ).
cnf(refute_0_8503,plain,
( multiply(identity,commutator(multiply(X_397,X_397),Z)) != commutator(multiply(X_397,X_397),Z)
| multiply(commutator(multiply(X_397,X_397),Z),identity) = commutator(multiply(X_397,X_397),Z) ),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_397,X_397),Z),identity),multiply(identity,commutator(multiply(X_397,X_397),Z))) )],[refute_0_8501,refute_0_8502]) ).
cnf(refute_0_8504,plain,
multiply(commutator(multiply(X_397,X_397),Z),identity) = commutator(multiply(X_397,X_397),Z),
inference(resolve,[$cnf( $equal(multiply(identity,commutator(multiply(X_397,X_397),Z)),commutator(multiply(X_397,X_397),Z)) )],[refute_0_8500,refute_0_8503]) ).
cnf(refute_0_8505,plain,
inverse(multiply(commutator(multiply(X_397,X_397),Z),identity)) = inverse(multiply(commutator(multiply(X_397,X_397),Z),identity)),
introduced(tautology,[refl,[$fot(inverse(multiply(commutator(multiply(X_397,X_397),Z),identity)))]]) ).
cnf(refute_0_8506,plain,
( multiply(commutator(multiply(X_397,X_397),Z),identity) != commutator(multiply(X_397,X_397),Z)
| inverse(multiply(commutator(multiply(X_397,X_397),Z),identity)) != inverse(multiply(commutator(multiply(X_397,X_397),Z),identity))
| inverse(multiply(commutator(multiply(X_397,X_397),Z),identity)) = inverse(commutator(multiply(X_397,X_397),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(commutator(multiply(X_397,X_397),Z),identity)),inverse(multiply(commutator(multiply(X_397,X_397),Z),identity))) ),[1,0],$fot(commutator(multiply(X_397,X_397),Z))]]) ).
cnf(refute_0_8507,plain,
( multiply(commutator(multiply(X_397,X_397),Z),identity) != commutator(multiply(X_397,X_397),Z)
| inverse(multiply(commutator(multiply(X_397,X_397),Z),identity)) = inverse(commutator(multiply(X_397,X_397),Z)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(multiply(X_397,X_397),Z),identity)),inverse(multiply(commutator(multiply(X_397,X_397),Z),identity))) )],[refute_0_8505,refute_0_8506]) ).
cnf(refute_0_8508,plain,
inverse(multiply(commutator(multiply(X_397,X_397),Z),identity)) = inverse(commutator(multiply(X_397,X_397),Z)),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_397,X_397),Z),identity),commutator(multiply(X_397,X_397),Z)) )],[refute_0_8504,refute_0_8507]) ).
cnf(refute_0_8509,plain,
( inverse(multiply(commutator(multiply(X_397,X_397),Z),identity)) != inverse(commutator(multiply(X_397,X_397),Z))
| inverse(commutator(multiply(X_397,X_397),Z)) != commutator(Z,multiply(X_397,X_397))
| inverse(multiply(commutator(multiply(X_397,X_397),Z),identity)) = commutator(Z,multiply(X_397,X_397)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(commutator(multiply(X_397,X_397),Z),identity)))),bind(Y0,$fot(inverse(commutator(multiply(X_397,X_397),Z)))),bind(Z0,$fot(commutator(Z,multiply(X_397,X_397))))]]) ).
cnf(refute_0_8510,plain,
( inverse(commutator(multiply(X_397,X_397),Z)) != commutator(Z,multiply(X_397,X_397))
| inverse(multiply(commutator(multiply(X_397,X_397),Z),identity)) = commutator(Z,multiply(X_397,X_397)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(multiply(X_397,X_397),Z),identity)),inverse(commutator(multiply(X_397,X_397),Z))) )],[refute_0_8508,refute_0_8509]) ).
cnf(refute_0_8511,plain,
inverse(multiply(commutator(multiply(X_397,X_397),Z),identity)) = commutator(Z,multiply(X_397,X_397)),
inference(resolve,[$cnf( $equal(inverse(commutator(multiply(X_397,X_397),Z)),commutator(Z,multiply(X_397,X_397))) )],[refute_0_8499,refute_0_8510]) ).
cnf(refute_0_8512,plain,
multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),identity))) = multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),identity))),
introduced(tautology,[refl,[$fot(multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),identity))))]]) ).
cnf(refute_0_8513,plain,
( multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),identity))) != multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),identity)))
| inverse(multiply(commutator(multiply(X_397,X_397),Z),identity)) != commutator(Z,multiply(X_397,X_397))
| multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),identity))) = multiply(X_612,commutator(Z,multiply(X_397,X_397))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),identity))),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),identity)))) ),[1,1],$fot(commutator(Z,multiply(X_397,X_397)))]]) ).
cnf(refute_0_8514,plain,
( inverse(multiply(commutator(multiply(X_397,X_397),Z),identity)) != commutator(Z,multiply(X_397,X_397))
| multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),identity))) = multiply(X_612,commutator(Z,multiply(X_397,X_397))) ),
inference(resolve,[$cnf( $equal(multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),identity))),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),identity)))) )],[refute_0_8512,refute_0_8513]) ).
cnf(refute_0_8515,plain,
multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),identity))) = multiply(X_612,commutator(Z,multiply(X_397,X_397))),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(multiply(X_397,X_397),Z),identity)),commutator(Z,multiply(X_397,X_397))) )],[refute_0_8511,refute_0_8514]) ).
cnf(refute_0_8516,plain,
( multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),identity))) != multiply(X_612,commutator(Z,multiply(X_397,X_397)))
| multiply(commutator(Z,multiply(X_397,X_397)),X_612) != multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),identity)))
| multiply(commutator(Z,multiply(X_397,X_397)),X_612) = multiply(X_612,commutator(Z,multiply(X_397,X_397))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(Z,multiply(X_397,X_397)),X_612),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),identity)))) ),[1],$fot(multiply(X_612,commutator(Z,multiply(X_397,X_397))))]]) ).
cnf(refute_0_8517,plain,
( multiply(commutator(Z,multiply(X_397,X_397)),X_612) != multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),identity)))
| multiply(commutator(Z,multiply(X_397,X_397)),X_612) = multiply(X_612,commutator(Z,multiply(X_397,X_397))) ),
inference(resolve,[$cnf( $equal(multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),identity))),multiply(X_612,commutator(Z,multiply(X_397,X_397)))) )],[refute_0_8515,refute_0_8516]) ).
cnf(refute_0_8518,plain,
( multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))))) != multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),identity)))
| multiply(commutator(Z,multiply(X_397,X_397)),X_612) = multiply(X_612,commutator(Z,multiply(X_397,X_397))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(Z,multiply(X_397,X_397)),X_612),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),identity)))) )],[refute_0_8498,refute_0_8517]) ).
cnf(refute_0_8519,plain,
multiply(commutator(Z,multiply(X_397,X_397)),X_612) = multiply(X_612,commutator(Z,multiply(X_397,X_397))),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_397,X_397),Z),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),commutator(multiply(X_397,X_397),Z))))),multiply(X_612,inverse(multiply(commutator(multiply(X_397,X_397),Z),identity)))) )],[refute_0_8479,refute_0_8518]) ).
cnf(refute_0_8520,plain,
multiply(commutator(X_454,multiply(X_455,X_455)),X_454) = multiply(X_454,commutator(X_454,multiply(X_455,X_455))),
inference(subst,[],[refute_0_8519:[bind(Z,$fot(X_454)),bind(X_397,$fot(X_455)),bind(X_612,$fot(X_454))]]) ).
cnf(refute_0_8521,plain,
inverse(multiply(commutator(X_454,multiply(X_455,X_455)),X_454)) = inverse(multiply(commutator(X_454,multiply(X_455,X_455)),X_454)),
introduced(tautology,[refl,[$fot(inverse(multiply(commutator(X_454,multiply(X_455,X_455)),X_454)))]]) ).
cnf(refute_0_8522,plain,
( multiply(commutator(X_454,multiply(X_455,X_455)),X_454) != multiply(X_454,commutator(X_454,multiply(X_455,X_455)))
| inverse(multiply(commutator(X_454,multiply(X_455,X_455)),X_454)) != inverse(multiply(commutator(X_454,multiply(X_455,X_455)),X_454))
| inverse(multiply(commutator(X_454,multiply(X_455,X_455)),X_454)) = inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(commutator(X_454,multiply(X_455,X_455)),X_454)),inverse(multiply(commutator(X_454,multiply(X_455,X_455)),X_454))) ),[1,0],$fot(multiply(X_454,commutator(X_454,multiply(X_455,X_455))))]]) ).
cnf(refute_0_8523,plain,
( multiply(commutator(X_454,multiply(X_455,X_455)),X_454) != multiply(X_454,commutator(X_454,multiply(X_455,X_455)))
| inverse(multiply(commutator(X_454,multiply(X_455,X_455)),X_454)) = inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_454,multiply(X_455,X_455)),X_454)),inverse(multiply(commutator(X_454,multiply(X_455,X_455)),X_454))) )],[refute_0_8521,refute_0_8522]) ).
cnf(refute_0_8524,plain,
inverse(multiply(commutator(X_454,multiply(X_455,X_455)),X_454)) = inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455)))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_454,multiply(X_455,X_455)),X_454),multiply(X_454,commutator(X_454,multiply(X_455,X_455)))) )],[refute_0_8520,refute_0_8523]) ).
cnf(refute_0_8525,plain,
multiply(inverse(X_454),commutator(multiply(X_455,X_455),X_454)) = inverse(multiply(commutator(X_454,multiply(X_455,X_455)),X_454)),
inference(subst,[],[refute_0_331:[bind(X_10,$fot(X_454)),bind(X_65,$fot(multiply(X_455,X_455))),bind(X_66,$fot(X_454))]]) ).
cnf(refute_0_8526,plain,
multiply(commutator(multiply(X_455,X_455),X_454),inverse(X_454)) = multiply(inverse(X_454),commutator(multiply(X_455,X_455),X_454)),
inference(subst,[],[refute_0_5136:[bind(Z,$fot(inverse(X_454))),bind(X_643,$fot(X_454)),bind(X_644,$fot(X_455))]]) ).
cnf(refute_0_8527,plain,
( multiply(commutator(multiply(X_455,X_455),X_454),inverse(X_454)) != multiply(inverse(X_454),commutator(multiply(X_455,X_455),X_454))
| multiply(inverse(X_454),commutator(multiply(X_455,X_455),X_454)) != inverse(multiply(commutator(X_454,multiply(X_455,X_455)),X_454))
| multiply(commutator(multiply(X_455,X_455),X_454),inverse(X_454)) = inverse(multiply(commutator(X_454,multiply(X_455,X_455)),X_454)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(multiply(X_455,X_455),X_454),inverse(X_454)))),bind(Y0,$fot(multiply(inverse(X_454),commutator(multiply(X_455,X_455),X_454)))),bind(Z0,$fot(inverse(multiply(commutator(X_454,multiply(X_455,X_455)),X_454))))]]) ).
cnf(refute_0_8528,plain,
( multiply(inverse(X_454),commutator(multiply(X_455,X_455),X_454)) != inverse(multiply(commutator(X_454,multiply(X_455,X_455)),X_454))
| multiply(commutator(multiply(X_455,X_455),X_454),inverse(X_454)) = inverse(multiply(commutator(X_454,multiply(X_455,X_455)),X_454)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_455,X_455),X_454),inverse(X_454)),multiply(inverse(X_454),commutator(multiply(X_455,X_455),X_454))) )],[refute_0_8526,refute_0_8527]) ).
cnf(refute_0_8529,plain,
multiply(commutator(multiply(X_455,X_455),X_454),inverse(X_454)) = inverse(multiply(commutator(X_454,multiply(X_455,X_455)),X_454)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_454),commutator(multiply(X_455,X_455),X_454)),inverse(multiply(commutator(X_454,multiply(X_455,X_455)),X_454))) )],[refute_0_8525,refute_0_8528]) ).
cnf(refute_0_8530,plain,
( multiply(commutator(multiply(X_455,X_455),X_454),inverse(X_454)) != inverse(multiply(commutator(X_454,multiply(X_455,X_455)),X_454))
| inverse(multiply(commutator(X_454,multiply(X_455,X_455)),X_454)) != inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455))))
| multiply(commutator(multiply(X_455,X_455),X_454),inverse(X_454)) = inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(multiply(X_455,X_455),X_454),inverse(X_454)))),bind(Y0,$fot(inverse(multiply(commutator(X_454,multiply(X_455,X_455)),X_454)))),bind(Z0,$fot(inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455))))))]]) ).
cnf(refute_0_8531,plain,
( inverse(multiply(commutator(X_454,multiply(X_455,X_455)),X_454)) != inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455))))
| multiply(commutator(multiply(X_455,X_455),X_454),inverse(X_454)) = inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455)))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_455,X_455),X_454),inverse(X_454)),inverse(multiply(commutator(X_454,multiply(X_455,X_455)),X_454))) )],[refute_0_8529,refute_0_8530]) ).
cnf(refute_0_8532,plain,
multiply(commutator(multiply(X_455,X_455),X_454),inverse(X_454)) = inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455)))),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(X_454,multiply(X_455,X_455)),X_454)),inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455))))) )],[refute_0_8524,refute_0_8531]) ).
cnf(refute_0_8533,plain,
multiply(X_455,multiply(commutator(multiply(X_455,X_455),X_454),inverse(X_454))) = multiply(X_455,multiply(commutator(multiply(X_455,X_455),X_454),inverse(X_454))),
introduced(tautology,[refl,[$fot(multiply(X_455,multiply(commutator(multiply(X_455,X_455),X_454),inverse(X_454))))]]) ).
cnf(refute_0_8534,plain,
( multiply(X_455,multiply(commutator(multiply(X_455,X_455),X_454),inverse(X_454))) != multiply(X_455,multiply(commutator(multiply(X_455,X_455),X_454),inverse(X_454)))
| multiply(commutator(multiply(X_455,X_455),X_454),inverse(X_454)) != inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455))))
| multiply(X_455,multiply(commutator(multiply(X_455,X_455),X_454),inverse(X_454))) = multiply(X_455,inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_455,multiply(commutator(multiply(X_455,X_455),X_454),inverse(X_454))),multiply(X_455,multiply(commutator(multiply(X_455,X_455),X_454),inverse(X_454)))) ),[1,1],$fot(inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455)))))]]) ).
cnf(refute_0_8535,plain,
( multiply(commutator(multiply(X_455,X_455),X_454),inverse(X_454)) != inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455))))
| multiply(X_455,multiply(commutator(multiply(X_455,X_455),X_454),inverse(X_454))) = multiply(X_455,inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455))))) ),
inference(resolve,[$cnf( $equal(multiply(X_455,multiply(commutator(multiply(X_455,X_455),X_454),inverse(X_454))),multiply(X_455,multiply(commutator(multiply(X_455,X_455),X_454),inverse(X_454)))) )],[refute_0_8533,refute_0_8534]) ).
cnf(refute_0_8536,plain,
multiply(X_455,multiply(commutator(multiply(X_455,X_455),X_454),inverse(X_454))) = multiply(X_455,inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455))))),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_455,X_455),X_454),inverse(X_454)),inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455))))) )],[refute_0_8532,refute_0_8535]) ).
cnf(refute_0_8537,plain,
( multiply(X_455,multiply(commutator(multiply(X_455,X_455),X_454),inverse(X_454))) != multiply(X_455,inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455)))))
| multiply(X_455,inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455))))) != multiply(inverse(multiply(X_454,X_455)),multiply(X_455,X_455))
| multiply(X_455,multiply(commutator(multiply(X_455,X_455),X_454),inverse(X_454))) = multiply(inverse(multiply(X_454,X_455)),multiply(X_455,X_455)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_455,multiply(commutator(multiply(X_455,X_455),X_454),inverse(X_454))))),bind(Y0,$fot(multiply(X_455,inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455))))))),bind(Z0,$fot(multiply(inverse(multiply(X_454,X_455)),multiply(X_455,X_455))))]]) ).
cnf(refute_0_8538,plain,
( multiply(X_455,inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455))))) != multiply(inverse(multiply(X_454,X_455)),multiply(X_455,X_455))
| multiply(X_455,multiply(commutator(multiply(X_455,X_455),X_454),inverse(X_454))) = multiply(inverse(multiply(X_454,X_455)),multiply(X_455,X_455)) ),
inference(resolve,[$cnf( $equal(multiply(X_455,multiply(commutator(multiply(X_455,X_455),X_454),inverse(X_454))),multiply(X_455,inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455)))))) )],[refute_0_8536,refute_0_8537]) ).
cnf(refute_0_8539,plain,
multiply(X_455,multiply(commutator(multiply(X_455,X_455),X_454),inverse(X_454))) = multiply(inverse(multiply(X_454,X_455)),multiply(X_455,X_455)),
inference(resolve,[$cnf( $equal(multiply(X_455,inverse(multiply(X_454,commutator(X_454,multiply(X_455,X_455))))),multiply(inverse(multiply(X_454,X_455)),multiply(X_455,X_455))) )],[refute_0_8472,refute_0_8538]) ).
cnf(refute_0_8540,plain,
multiply(multiply(X_455,commutator(multiply(X_455,X_455),X_454)),inverse(X_454)) = multiply(X_455,multiply(commutator(multiply(X_455,X_455),X_454),inverse(X_454))),
inference(subst,[],[associativity:[bind(X,$fot(X_455)),bind(Y,$fot(commutator(multiply(X_455,X_455),X_454))),bind(Z,$fot(inverse(X_454)))]]) ).
cnf(refute_0_8541,plain,
( multiply(X_455,multiply(commutator(multiply(X_455,X_455),X_454),inverse(X_454))) != multiply(inverse(multiply(X_454,X_455)),multiply(X_455,X_455))
| multiply(multiply(X_455,commutator(multiply(X_455,X_455),X_454)),inverse(X_454)) != multiply(X_455,multiply(commutator(multiply(X_455,X_455),X_454),inverse(X_454)))
| multiply(multiply(X_455,commutator(multiply(X_455,X_455),X_454)),inverse(X_454)) = multiply(inverse(multiply(X_454,X_455)),multiply(X_455,X_455)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_455,commutator(multiply(X_455,X_455),X_454)),inverse(X_454)))),bind(Y0,$fot(multiply(X_455,multiply(commutator(multiply(X_455,X_455),X_454),inverse(X_454))))),bind(Z0,$fot(multiply(inverse(multiply(X_454,X_455)),multiply(X_455,X_455))))]]) ).
cnf(refute_0_8542,plain,
( multiply(X_455,multiply(commutator(multiply(X_455,X_455),X_454),inverse(X_454))) != multiply(inverse(multiply(X_454,X_455)),multiply(X_455,X_455))
| multiply(multiply(X_455,commutator(multiply(X_455,X_455),X_454)),inverse(X_454)) = multiply(inverse(multiply(X_454,X_455)),multiply(X_455,X_455)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_455,commutator(multiply(X_455,X_455),X_454)),inverse(X_454)),multiply(X_455,multiply(commutator(multiply(X_455,X_455),X_454),inverse(X_454)))) )],[refute_0_8540,refute_0_8541]) ).
cnf(refute_0_8543,plain,
multiply(multiply(X_455,commutator(multiply(X_455,X_455),X_454)),inverse(X_454)) = multiply(inverse(multiply(X_454,X_455)),multiply(X_455,X_455)),
inference(resolve,[$cnf( $equal(multiply(X_455,multiply(commutator(multiply(X_455,X_455),X_454),inverse(X_454))),multiply(inverse(multiply(X_454,X_455)),multiply(X_455,X_455))) )],[refute_0_8539,refute_0_8542]) ).
cnf(refute_0_8544,plain,
inverse(multiply(X_454,inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454))))) = multiply(multiply(X_455,commutator(multiply(X_455,X_455),X_454)),inverse(X_454)),
inference(subst,[],[refute_0_180:[bind(X,$fot(multiply(X_455,commutator(multiply(X_455,X_455),X_454)))),bind(X_58,$fot(X_454))]]) ).
cnf(refute_0_8545,plain,
( multiply(multiply(X_455,commutator(multiply(X_455,X_455),X_454)),inverse(X_454)) != multiply(inverse(multiply(X_454,X_455)),multiply(X_455,X_455))
| inverse(multiply(X_454,inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454))))) != multiply(multiply(X_455,commutator(multiply(X_455,X_455),X_454)),inverse(X_454))
| inverse(multiply(X_454,inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454))))) = multiply(inverse(multiply(X_454,X_455)),multiply(X_455,X_455)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(X_454,inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454))))))),bind(Y0,$fot(multiply(multiply(X_455,commutator(multiply(X_455,X_455),X_454)),inverse(X_454)))),bind(Z0,$fot(multiply(inverse(multiply(X_454,X_455)),multiply(X_455,X_455))))]]) ).
cnf(refute_0_8546,plain,
( multiply(multiply(X_455,commutator(multiply(X_455,X_455),X_454)),inverse(X_454)) != multiply(inverse(multiply(X_454,X_455)),multiply(X_455,X_455))
| inverse(multiply(X_454,inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454))))) = multiply(inverse(multiply(X_454,X_455)),multiply(X_455,X_455)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_454,inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454))))),multiply(multiply(X_455,commutator(multiply(X_455,X_455),X_454)),inverse(X_454))) )],[refute_0_8544,refute_0_8545]) ).
cnf(refute_0_8547,plain,
inverse(multiply(X_454,inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454))))) = multiply(inverse(multiply(X_454,X_455)),multiply(X_455,X_455)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_455,commutator(multiply(X_455,X_455),X_454)),inverse(X_454)),multiply(inverse(multiply(X_454,X_455)),multiply(X_455,X_455))) )],[refute_0_8543,refute_0_8546]) ).
cnf(refute_0_8548,plain,
multiply(commutator(multiply(X_455,X_455),X_454),X_455) = multiply(X_455,commutator(multiply(X_455,X_455),X_454)),
inference(subst,[],[refute_0_5136:[bind(Z,$fot(X_455)),bind(X_643,$fot(X_454)),bind(X_644,$fot(X_455))]]) ).
cnf(refute_0_8549,plain,
inverse(multiply(commutator(multiply(X_455,X_455),X_454),X_455)) = inverse(multiply(commutator(multiply(X_455,X_455),X_454),X_455)),
introduced(tautology,[refl,[$fot(inverse(multiply(commutator(multiply(X_455,X_455),X_454),X_455)))]]) ).
cnf(refute_0_8550,plain,
( multiply(commutator(multiply(X_455,X_455),X_454),X_455) != multiply(X_455,commutator(multiply(X_455,X_455),X_454))
| inverse(multiply(commutator(multiply(X_455,X_455),X_454),X_455)) != inverse(multiply(commutator(multiply(X_455,X_455),X_454),X_455))
| inverse(multiply(commutator(multiply(X_455,X_455),X_454),X_455)) = inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(commutator(multiply(X_455,X_455),X_454),X_455)),inverse(multiply(commutator(multiply(X_455,X_455),X_454),X_455))) ),[1,0],$fot(multiply(X_455,commutator(multiply(X_455,X_455),X_454)))]]) ).
cnf(refute_0_8551,plain,
( multiply(commutator(multiply(X_455,X_455),X_454),X_455) != multiply(X_455,commutator(multiply(X_455,X_455),X_454))
| inverse(multiply(commutator(multiply(X_455,X_455),X_454),X_455)) = inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(multiply(X_455,X_455),X_454),X_455)),inverse(multiply(commutator(multiply(X_455,X_455),X_454),X_455))) )],[refute_0_8549,refute_0_8550]) ).
cnf(refute_0_8552,plain,
inverse(multiply(commutator(multiply(X_455,X_455),X_454),X_455)) = inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454))),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_455,X_455),X_454),X_455),multiply(X_455,commutator(multiply(X_455,X_455),X_454))) )],[refute_0_8548,refute_0_8551]) ).
cnf(refute_0_8553,plain,
multiply(inverse(X_455),commutator(X_454,multiply(X_455,X_455))) = inverse(multiply(commutator(multiply(X_455,X_455),X_454),X_455)),
inference(subst,[],[refute_0_331:[bind(X_10,$fot(X_455)),bind(X_65,$fot(X_454)),bind(X_66,$fot(multiply(X_455,X_455)))]]) ).
cnf(refute_0_8554,plain,
( multiply(inverse(X_455),commutator(X_454,multiply(X_455,X_455))) != inverse(multiply(commutator(multiply(X_455,X_455),X_454),X_455))
| inverse(multiply(commutator(multiply(X_455,X_455),X_454),X_455)) != inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454)))
| multiply(inverse(X_455),commutator(X_454,multiply(X_455,X_455))) = inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(X_455),commutator(X_454,multiply(X_455,X_455))))),bind(Y0,$fot(inverse(multiply(commutator(multiply(X_455,X_455),X_454),X_455)))),bind(Z0,$fot(inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454)))))]]) ).
cnf(refute_0_8555,plain,
( inverse(multiply(commutator(multiply(X_455,X_455),X_454),X_455)) != inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454)))
| multiply(inverse(X_455),commutator(X_454,multiply(X_455,X_455))) = inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_455),commutator(X_454,multiply(X_455,X_455))),inverse(multiply(commutator(multiply(X_455,X_455),X_454),X_455))) )],[refute_0_8553,refute_0_8554]) ).
cnf(refute_0_8556,plain,
multiply(inverse(X_455),commutator(X_454,multiply(X_455,X_455))) = inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454))),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(multiply(X_455,X_455),X_454),X_455)),inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454)))) )],[refute_0_8552,refute_0_8555]) ).
cnf(refute_0_8557,plain,
multiply(identity,commutator(X_454,multiply(X_455,X_455))) = commutator(X_454,multiply(X_455,X_455)),
inference(subst,[],[left_identity:[bind(X,$fot(commutator(X_454,multiply(X_455,X_455))))]]) ).
cnf(refute_0_8558,plain,
multiply(commutator(X_454,multiply(X_455,X_455)),identity) = multiply(identity,commutator(X_454,multiply(X_455,X_455))),
inference(subst,[],[refute_0_8519:[bind(Z,$fot(X_454)),bind(X_397,$fot(X_455)),bind(X_612,$fot(identity))]]) ).
cnf(refute_0_8559,plain,
( multiply(commutator(X_454,multiply(X_455,X_455)),identity) != multiply(identity,commutator(X_454,multiply(X_455,X_455)))
| multiply(identity,commutator(X_454,multiply(X_455,X_455))) != commutator(X_454,multiply(X_455,X_455))
| multiply(commutator(X_454,multiply(X_455,X_455)),identity) = commutator(X_454,multiply(X_455,X_455)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_454,multiply(X_455,X_455)),identity))),bind(Y0,$fot(multiply(identity,commutator(X_454,multiply(X_455,X_455))))),bind(Z0,$fot(commutator(X_454,multiply(X_455,X_455))))]]) ).
cnf(refute_0_8560,plain,
( multiply(identity,commutator(X_454,multiply(X_455,X_455))) != commutator(X_454,multiply(X_455,X_455))
| multiply(commutator(X_454,multiply(X_455,X_455)),identity) = commutator(X_454,multiply(X_455,X_455)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_454,multiply(X_455,X_455)),identity),multiply(identity,commutator(X_454,multiply(X_455,X_455)))) )],[refute_0_8558,refute_0_8559]) ).
cnf(refute_0_8561,plain,
multiply(commutator(X_454,multiply(X_455,X_455)),identity) = commutator(X_454,multiply(X_455,X_455)),
inference(resolve,[$cnf( $equal(multiply(identity,commutator(X_454,multiply(X_455,X_455))),commutator(X_454,multiply(X_455,X_455))) )],[refute_0_8557,refute_0_8560]) ).
cnf(refute_0_8562,plain,
multiply(inverse(X_662),X_662) = identity,
inference(subst,[],[left_inverse:[bind(X,$fot(X_662))]]) ).
cnf(refute_0_8563,plain,
multiply(commutator(X_454,multiply(X_455,X_455)),multiply(inverse(X_662),X_662)) = multiply(commutator(X_454,multiply(X_455,X_455)),multiply(inverse(X_662),X_662)),
introduced(tautology,[refl,[$fot(multiply(commutator(X_454,multiply(X_455,X_455)),multiply(inverse(X_662),X_662)))]]) ).
cnf(refute_0_8564,plain,
( multiply(commutator(X_454,multiply(X_455,X_455)),multiply(inverse(X_662),X_662)) != multiply(commutator(X_454,multiply(X_455,X_455)),multiply(inverse(X_662),X_662))
| multiply(inverse(X_662),X_662) != identity
| multiply(commutator(X_454,multiply(X_455,X_455)),multiply(inverse(X_662),X_662)) = multiply(commutator(X_454,multiply(X_455,X_455)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_454,multiply(X_455,X_455)),multiply(inverse(X_662),X_662)),multiply(commutator(X_454,multiply(X_455,X_455)),multiply(inverse(X_662),X_662))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_8565,plain,
( multiply(inverse(X_662),X_662) != identity
| multiply(commutator(X_454,multiply(X_455,X_455)),multiply(inverse(X_662),X_662)) = multiply(commutator(X_454,multiply(X_455,X_455)),identity) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_454,multiply(X_455,X_455)),multiply(inverse(X_662),X_662)),multiply(commutator(X_454,multiply(X_455,X_455)),multiply(inverse(X_662),X_662))) )],[refute_0_8563,refute_0_8564]) ).
cnf(refute_0_8566,plain,
multiply(commutator(X_454,multiply(X_455,X_455)),multiply(inverse(X_662),X_662)) = multiply(commutator(X_454,multiply(X_455,X_455)),identity),
inference(resolve,[$cnf( $equal(multiply(inverse(X_662),X_662),identity) )],[refute_0_8562,refute_0_8565]) ).
cnf(refute_0_8567,plain,
( multiply(commutator(X_454,multiply(X_455,X_455)),multiply(inverse(X_662),X_662)) != multiply(commutator(X_454,multiply(X_455,X_455)),identity)
| multiply(commutator(X_454,multiply(X_455,X_455)),identity) != commutator(X_454,multiply(X_455,X_455))
| multiply(commutator(X_454,multiply(X_455,X_455)),multiply(inverse(X_662),X_662)) = commutator(X_454,multiply(X_455,X_455)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_454,multiply(X_455,X_455)),multiply(inverse(X_662),X_662)))),bind(Y0,$fot(multiply(commutator(X_454,multiply(X_455,X_455)),identity))),bind(Z0,$fot(commutator(X_454,multiply(X_455,X_455))))]]) ).
cnf(refute_0_8568,plain,
( multiply(commutator(X_454,multiply(X_455,X_455)),identity) != commutator(X_454,multiply(X_455,X_455))
| multiply(commutator(X_454,multiply(X_455,X_455)),multiply(inverse(X_662),X_662)) = commutator(X_454,multiply(X_455,X_455)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_454,multiply(X_455,X_455)),multiply(inverse(X_662),X_662)),multiply(commutator(X_454,multiply(X_455,X_455)),identity)) )],[refute_0_8566,refute_0_8567]) ).
cnf(refute_0_8569,plain,
multiply(commutator(X_454,multiply(X_455,X_455)),multiply(inverse(X_662),X_662)) = commutator(X_454,multiply(X_455,X_455)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_454,multiply(X_455,X_455)),identity),commutator(X_454,multiply(X_455,X_455))) )],[refute_0_8561,refute_0_8568]) ).
cnf(refute_0_8570,plain,
multiply(inverse(multiply(X_662,commutator(multiply(X_455,X_455),X_454))),X_662) = multiply(commutator(X_454,multiply(X_455,X_455)),multiply(inverse(X_662),X_662)),
inference(subst,[],[refute_0_666:[bind(X_366,$fot(X_662)),bind(X_367,$fot(X_662)),bind(X_65,$fot(multiply(X_455,X_455))),bind(X_66,$fot(X_454))]]) ).
cnf(refute_0_8571,plain,
( multiply(commutator(X_454,multiply(X_455,X_455)),multiply(inverse(X_662),X_662)) != commutator(X_454,multiply(X_455,X_455))
| multiply(inverse(multiply(X_662,commutator(multiply(X_455,X_455),X_454))),X_662) != multiply(commutator(X_454,multiply(X_455,X_455)),multiply(inverse(X_662),X_662))
| multiply(inverse(multiply(X_662,commutator(multiply(X_455,X_455),X_454))),X_662) = commutator(X_454,multiply(X_455,X_455)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_662,commutator(multiply(X_455,X_455),X_454))),X_662))),bind(Y0,$fot(multiply(commutator(X_454,multiply(X_455,X_455)),multiply(inverse(X_662),X_662)))),bind(Z0,$fot(commutator(X_454,multiply(X_455,X_455))))]]) ).
cnf(refute_0_8572,plain,
( multiply(commutator(X_454,multiply(X_455,X_455)),multiply(inverse(X_662),X_662)) != commutator(X_454,multiply(X_455,X_455))
| multiply(inverse(multiply(X_662,commutator(multiply(X_455,X_455),X_454))),X_662) = commutator(X_454,multiply(X_455,X_455)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_662,commutator(multiply(X_455,X_455),X_454))),X_662),multiply(commutator(X_454,multiply(X_455,X_455)),multiply(inverse(X_662),X_662))) )],[refute_0_8570,refute_0_8571]) ).
cnf(refute_0_8573,plain,
multiply(inverse(multiply(X_662,commutator(multiply(X_455,X_455),X_454))),X_662) = commutator(X_454,multiply(X_455,X_455)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_454,multiply(X_455,X_455)),multiply(inverse(X_662),X_662)),commutator(X_454,multiply(X_455,X_455))) )],[refute_0_8569,refute_0_8572]) ).
cnf(refute_0_8574,plain,
multiply(X_454,multiply(inverse(X_454),multiply(X_662,commutator(multiply(X_455,X_455),X_454)))) = multiply(X_662,commutator(multiply(X_455,X_455),X_454)),
inference(subst,[],[refute_0_343:[bind(X,$fot(X_454)),bind(Z,$fot(multiply(X_662,commutator(multiply(X_455,X_455),X_454))))]]) ).
cnf(refute_0_8575,plain,
multiply(inverse(multiply(X_454,X_455)),multiply(X_455,multiply(commutator(X_455,X_454),X_662))) = multiply(inverse(X_454),multiply(X_662,commutator(multiply(X_455,X_455),X_454))),
inference(subst,[],[refute_0_5292:[bind(X_109,$fot(X_454)),bind(X_505,$fot(X_662)),bind(X_506,$fot(X_455))]]) ).
cnf(refute_0_8576,plain,
multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,multiply(commutator(X_455,X_454),X_662)))) = multiply(inverse(multiply(X_454,X_455)),multiply(X_455,multiply(commutator(X_455,X_454),X_662))),
inference(subst,[],[refute_0_242:[bind(Z,$fot(multiply(X_455,multiply(commutator(X_455,X_454),X_662)))),bind(X_62,$fot(X_455)),bind(X_63,$fot(X_454))]]) ).
cnf(refute_0_8577,plain,
( multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,multiply(commutator(X_455,X_454),X_662)))) != multiply(inverse(multiply(X_454,X_455)),multiply(X_455,multiply(commutator(X_455,X_454),X_662)))
| multiply(inverse(multiply(X_454,X_455)),multiply(X_455,multiply(commutator(X_455,X_454),X_662))) != multiply(inverse(X_454),multiply(X_662,commutator(multiply(X_455,X_455),X_454)))
| multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,multiply(commutator(X_455,X_454),X_662)))) = multiply(inverse(X_454),multiply(X_662,commutator(multiply(X_455,X_455),X_454))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,multiply(commutator(X_455,X_454),X_662)))))),bind(Y0,$fot(multiply(inverse(multiply(X_454,X_455)),multiply(X_455,multiply(commutator(X_455,X_454),X_662))))),bind(Z0,$fot(multiply(inverse(X_454),multiply(X_662,commutator(multiply(X_455,X_455),X_454)))))]]) ).
cnf(refute_0_8578,plain,
( multiply(inverse(multiply(X_454,X_455)),multiply(X_455,multiply(commutator(X_455,X_454),X_662))) != multiply(inverse(X_454),multiply(X_662,commutator(multiply(X_455,X_455),X_454)))
| multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,multiply(commutator(X_455,X_454),X_662)))) = multiply(inverse(X_454),multiply(X_662,commutator(multiply(X_455,X_455),X_454))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,multiply(commutator(X_455,X_454),X_662)))),multiply(inverse(multiply(X_454,X_455)),multiply(X_455,multiply(commutator(X_455,X_454),X_662)))) )],[refute_0_8576,refute_0_8577]) ).
cnf(refute_0_8579,plain,
multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,multiply(commutator(X_455,X_454),X_662)))) = multiply(inverse(X_454),multiply(X_662,commutator(multiply(X_455,X_455),X_454))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_454,X_455)),multiply(X_455,multiply(commutator(X_455,X_454),X_662))),multiply(inverse(X_454),multiply(X_662,commutator(multiply(X_455,X_455),X_454)))) )],[refute_0_8575,refute_0_8578]) ).
cnf(refute_0_8580,plain,
multiply(multiply(X_455,commutator(X_455,X_454)),X_662) = multiply(X_455,multiply(commutator(X_455,X_454),X_662)),
inference(subst,[],[associativity:[bind(X,$fot(X_455)),bind(Y,$fot(commutator(X_455,X_454))),bind(Z,$fot(X_662))]]) ).
cnf(refute_0_8581,plain,
multiply(inverse(X_454),multiply(multiply(X_455,commutator(X_455,X_454)),X_662)) = multiply(inverse(X_454),multiply(multiply(X_455,commutator(X_455,X_454)),X_662)),
introduced(tautology,[refl,[$fot(multiply(inverse(X_454),multiply(multiply(X_455,commutator(X_455,X_454)),X_662)))]]) ).
cnf(refute_0_8582,plain,
( multiply(multiply(X_455,commutator(X_455,X_454)),X_662) != multiply(X_455,multiply(commutator(X_455,X_454),X_662))
| multiply(inverse(X_454),multiply(multiply(X_455,commutator(X_455,X_454)),X_662)) != multiply(inverse(X_454),multiply(multiply(X_455,commutator(X_455,X_454)),X_662))
| multiply(inverse(X_454),multiply(multiply(X_455,commutator(X_455,X_454)),X_662)) = multiply(inverse(X_454),multiply(X_455,multiply(commutator(X_455,X_454),X_662))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_454),multiply(multiply(X_455,commutator(X_455,X_454)),X_662)),multiply(inverse(X_454),multiply(multiply(X_455,commutator(X_455,X_454)),X_662))) ),[1,1],$fot(multiply(X_455,multiply(commutator(X_455,X_454),X_662)))]]) ).
cnf(refute_0_8583,plain,
( multiply(multiply(X_455,commutator(X_455,X_454)),X_662) != multiply(X_455,multiply(commutator(X_455,X_454),X_662))
| multiply(inverse(X_454),multiply(multiply(X_455,commutator(X_455,X_454)),X_662)) = multiply(inverse(X_454),multiply(X_455,multiply(commutator(X_455,X_454),X_662))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_454),multiply(multiply(X_455,commutator(X_455,X_454)),X_662)),multiply(inverse(X_454),multiply(multiply(X_455,commutator(X_455,X_454)),X_662))) )],[refute_0_8581,refute_0_8582]) ).
cnf(refute_0_8584,plain,
multiply(inverse(X_454),multiply(multiply(X_455,commutator(X_455,X_454)),X_662)) = multiply(inverse(X_454),multiply(X_455,multiply(commutator(X_455,X_454),X_662))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_455,commutator(X_455,X_454)),X_662),multiply(X_455,multiply(commutator(X_455,X_454),X_662))) )],[refute_0_8580,refute_0_8583]) ).
cnf(refute_0_8585,plain,
multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662) = multiply(inverse(X_454),multiply(multiply(X_455,commutator(X_455,X_454)),X_662)),
inference(subst,[],[associativity:[bind(X,$fot(inverse(X_454))),bind(Y,$fot(multiply(X_455,commutator(X_455,X_454)))),bind(Z,$fot(X_662))]]) ).
cnf(refute_0_8586,plain,
( multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662) != multiply(inverse(X_454),multiply(multiply(X_455,commutator(X_455,X_454)),X_662))
| multiply(inverse(X_454),multiply(multiply(X_455,commutator(X_455,X_454)),X_662)) != multiply(inverse(X_454),multiply(X_455,multiply(commutator(X_455,X_454),X_662)))
| multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662) = multiply(inverse(X_454),multiply(X_455,multiply(commutator(X_455,X_454),X_662))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),bind(Y0,$fot(multiply(inverse(X_454),multiply(multiply(X_455,commutator(X_455,X_454)),X_662)))),bind(Z0,$fot(multiply(inverse(X_454),multiply(X_455,multiply(commutator(X_455,X_454),X_662)))))]]) ).
cnf(refute_0_8587,plain,
( multiply(inverse(X_454),multiply(multiply(X_455,commutator(X_455,X_454)),X_662)) != multiply(inverse(X_454),multiply(X_455,multiply(commutator(X_455,X_454),X_662)))
| multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662) = multiply(inverse(X_454),multiply(X_455,multiply(commutator(X_455,X_454),X_662))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662),multiply(inverse(X_454),multiply(multiply(X_455,commutator(X_455,X_454)),X_662))) )],[refute_0_8585,refute_0_8586]) ).
cnf(refute_0_8588,plain,
multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662) = multiply(inverse(X_454),multiply(X_455,multiply(commutator(X_455,X_454),X_662))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_454),multiply(multiply(X_455,commutator(X_455,X_454)),X_662)),multiply(inverse(X_454),multiply(X_455,multiply(commutator(X_455,X_454),X_662)))) )],[refute_0_8584,refute_0_8587]) ).
cnf(refute_0_8589,plain,
multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662)) = multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662)),
introduced(tautology,[refl,[$fot(multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662)))]]) ).
cnf(refute_0_8590,plain,
( multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662) != multiply(inverse(X_454),multiply(X_455,multiply(commutator(X_455,X_454),X_662)))
| multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662)) != multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))
| multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662)) = multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,multiply(commutator(X_455,X_454),X_662)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662)),multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))) ),[1,1],$fot(multiply(inverse(X_454),multiply(X_455,multiply(commutator(X_455,X_454),X_662))))]]) ).
cnf(refute_0_8591,plain,
( multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662) != multiply(inverse(X_454),multiply(X_455,multiply(commutator(X_455,X_454),X_662)))
| multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662)) = multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,multiply(commutator(X_455,X_454),X_662)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662)),multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))) )],[refute_0_8589,refute_0_8590]) ).
cnf(refute_0_8592,plain,
multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662)) = multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,multiply(commutator(X_455,X_454),X_662)))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662),multiply(inverse(X_454),multiply(X_455,multiply(commutator(X_455,X_454),X_662)))) )],[refute_0_8588,refute_0_8591]) ).
cnf(refute_0_8593,plain,
( multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662)) != multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,multiply(commutator(X_455,X_454),X_662))))
| multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,multiply(commutator(X_455,X_454),X_662)))) != multiply(inverse(X_454),multiply(X_662,commutator(multiply(X_455,X_455),X_454)))
| multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662)) = multiply(inverse(X_454),multiply(X_662,commutator(multiply(X_455,X_455),X_454))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662)))),bind(Y0,$fot(multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,multiply(commutator(X_455,X_454),X_662)))))),bind(Z0,$fot(multiply(inverse(X_454),multiply(X_662,commutator(multiply(X_455,X_455),X_454)))))]]) ).
cnf(refute_0_8594,plain,
( multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,multiply(commutator(X_455,X_454),X_662)))) != multiply(inverse(X_454),multiply(X_662,commutator(multiply(X_455,X_455),X_454)))
| multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662)) = multiply(inverse(X_454),multiply(X_662,commutator(multiply(X_455,X_455),X_454))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662)),multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,multiply(commutator(X_455,X_454),X_662))))) )],[refute_0_8592,refute_0_8593]) ).
cnf(refute_0_8595,plain,
multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662)) = multiply(inverse(X_454),multiply(X_662,commutator(multiply(X_455,X_455),X_454))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_455),multiply(inverse(X_454),multiply(X_455,multiply(commutator(X_455,X_454),X_662)))),multiply(inverse(X_454),multiply(X_662,commutator(multiply(X_455,X_455),X_454)))) )],[refute_0_8579,refute_0_8594]) ).
cnf(refute_0_8596,plain,
multiply(X_454,multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))) = multiply(X_454,multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),
introduced(tautology,[refl,[$fot(multiply(X_454,multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))))]]) ).
cnf(refute_0_8597,plain,
( multiply(X_454,multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))) != multiply(X_454,multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662)))
| multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662)) != multiply(inverse(X_454),multiply(X_662,commutator(multiply(X_455,X_455),X_454)))
| multiply(X_454,multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))) = multiply(X_454,multiply(inverse(X_454),multiply(X_662,commutator(multiply(X_455,X_455),X_454)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_454,multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),multiply(X_454,multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662)))) ),[1,1],$fot(multiply(inverse(X_454),multiply(X_662,commutator(multiply(X_455,X_455),X_454))))]]) ).
cnf(refute_0_8598,plain,
( multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662)) != multiply(inverse(X_454),multiply(X_662,commutator(multiply(X_455,X_455),X_454)))
| multiply(X_454,multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))) = multiply(X_454,multiply(inverse(X_454),multiply(X_662,commutator(multiply(X_455,X_455),X_454)))) ),
inference(resolve,[$cnf( $equal(multiply(X_454,multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),multiply(X_454,multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662)))) )],[refute_0_8596,refute_0_8597]) ).
cnf(refute_0_8599,plain,
multiply(X_454,multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))) = multiply(X_454,multiply(inverse(X_454),multiply(X_662,commutator(multiply(X_455,X_455),X_454)))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662)),multiply(inverse(X_454),multiply(X_662,commutator(multiply(X_455,X_455),X_454)))) )],[refute_0_8595,refute_0_8598]) ).
cnf(refute_0_8600,plain,
( multiply(X_454,multiply(inverse(X_454),multiply(X_662,commutator(multiply(X_455,X_455),X_454)))) != multiply(X_662,commutator(multiply(X_455,X_455),X_454))
| multiply(X_454,multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))) != multiply(X_454,multiply(inverse(X_454),multiply(X_662,commutator(multiply(X_455,X_455),X_454))))
| multiply(X_454,multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))) = multiply(X_662,commutator(multiply(X_455,X_455),X_454)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_454,multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))))),bind(Y0,$fot(multiply(X_454,multiply(inverse(X_454),multiply(X_662,commutator(multiply(X_455,X_455),X_454)))))),bind(Z0,$fot(multiply(X_662,commutator(multiply(X_455,X_455),X_454))))]]) ).
cnf(refute_0_8601,plain,
( multiply(X_454,multiply(inverse(X_454),multiply(X_662,commutator(multiply(X_455,X_455),X_454)))) != multiply(X_662,commutator(multiply(X_455,X_455),X_454))
| multiply(X_454,multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))) = multiply(X_662,commutator(multiply(X_455,X_455),X_454)) ),
inference(resolve,[$cnf( $equal(multiply(X_454,multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),multiply(X_454,multiply(inverse(X_454),multiply(X_662,commutator(multiply(X_455,X_455),X_454))))) )],[refute_0_8599,refute_0_8600]) ).
cnf(refute_0_8602,plain,
multiply(X_454,multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))) = multiply(X_662,commutator(multiply(X_455,X_455),X_454)),
inference(resolve,[$cnf( $equal(multiply(X_454,multiply(inverse(X_454),multiply(X_662,commutator(multiply(X_455,X_455),X_454)))),multiply(X_662,commutator(multiply(X_455,X_455),X_454))) )],[refute_0_8574,refute_0_8601]) ).
cnf(refute_0_8603,plain,
multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662)) = multiply(X_454,multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),
inference(subst,[],[associativity:[bind(X,$fot(X_454)),bind(Y,$fot(inverse(X_455))),bind(Z,$fot(multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662)))]]) ).
cnf(refute_0_8604,plain,
( multiply(X_454,multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))) != multiply(X_662,commutator(multiply(X_455,X_455),X_454))
| multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662)) != multiply(X_454,multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662)))
| multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662)) = multiply(X_662,commutator(multiply(X_455,X_455),X_454)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662)))),bind(Y0,$fot(multiply(X_454,multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))))),bind(Z0,$fot(multiply(X_662,commutator(multiply(X_455,X_455),X_454))))]]) ).
cnf(refute_0_8605,plain,
( multiply(X_454,multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))) != multiply(X_662,commutator(multiply(X_455,X_455),X_454))
| multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662)) = multiply(X_662,commutator(multiply(X_455,X_455),X_454)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662)),multiply(X_454,multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662)))) )],[refute_0_8603,refute_0_8604]) ).
cnf(refute_0_8606,plain,
multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662)) = multiply(X_662,commutator(multiply(X_455,X_455),X_454)),
inference(resolve,[$cnf( $equal(multiply(X_454,multiply(inverse(X_455),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),multiply(X_662,commutator(multiply(X_455,X_455),X_454))) )],[refute_0_8602,refute_0_8605]) ).
cnf(refute_0_8607,plain,
inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))) = inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))))]]) ).
cnf(refute_0_8608,plain,
( multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662)) != multiply(X_662,commutator(multiply(X_455,X_455),X_454))
| inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))) != inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662)))
| inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))) = inverse(multiply(X_662,commutator(multiply(X_455,X_455),X_454))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662)))) ),[1,0],$fot(multiply(X_662,commutator(multiply(X_455,X_455),X_454)))]]) ).
cnf(refute_0_8609,plain,
( multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662)) != multiply(X_662,commutator(multiply(X_455,X_455),X_454))
| inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))) = inverse(multiply(X_662,commutator(multiply(X_455,X_455),X_454))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662)))) )],[refute_0_8607,refute_0_8608]) ).
cnf(refute_0_8610,plain,
inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))) = inverse(multiply(X_662,commutator(multiply(X_455,X_455),X_454))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662)),multiply(X_662,commutator(multiply(X_455,X_455),X_454))) )],[refute_0_8606,refute_0_8609]) ).
cnf(refute_0_8611,plain,
multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662) = multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))]]) ).
cnf(refute_0_8612,plain,
( multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662) != multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)
| inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))) != inverse(multiply(X_662,commutator(multiply(X_455,X_455),X_454)))
| multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662) = multiply(inverse(multiply(X_662,commutator(multiply(X_455,X_455),X_454))),X_662) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662),multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)) ),[1,0],$fot(inverse(multiply(X_662,commutator(multiply(X_455,X_455),X_454))))]]) ).
cnf(refute_0_8613,plain,
( inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))) != inverse(multiply(X_662,commutator(multiply(X_455,X_455),X_454)))
| multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662) = multiply(inverse(multiply(X_662,commutator(multiply(X_455,X_455),X_454))),X_662) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662),multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)) )],[refute_0_8611,refute_0_8612]) ).
cnf(refute_0_8614,plain,
multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662) = multiply(inverse(multiply(X_662,commutator(multiply(X_455,X_455),X_454))),X_662),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),inverse(multiply(X_662,commutator(multiply(X_455,X_455),X_454)))) )],[refute_0_8610,refute_0_8613]) ).
cnf(refute_0_8615,plain,
( multiply(inverse(multiply(X_662,commutator(multiply(X_455,X_455),X_454))),X_662) != commutator(X_454,multiply(X_455,X_455))
| multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662) != multiply(inverse(multiply(X_662,commutator(multiply(X_455,X_455),X_454))),X_662)
| multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662) = commutator(X_454,multiply(X_455,X_455)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))),bind(Y0,$fot(multiply(inverse(multiply(X_662,commutator(multiply(X_455,X_455),X_454))),X_662))),bind(Z0,$fot(commutator(X_454,multiply(X_455,X_455))))]]) ).
cnf(refute_0_8616,plain,
( multiply(inverse(multiply(X_662,commutator(multiply(X_455,X_455),X_454))),X_662) != commutator(X_454,multiply(X_455,X_455))
| multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662) = commutator(X_454,multiply(X_455,X_455)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662),multiply(inverse(multiply(X_662,commutator(multiply(X_455,X_455),X_454))),X_662)) )],[refute_0_8614,refute_0_8615]) ).
cnf(refute_0_8617,plain,
multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662) = commutator(X_454,multiply(X_455,X_455)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_662,commutator(multiply(X_455,X_455),X_454))),X_662),commutator(X_454,multiply(X_455,X_455))) )],[refute_0_8573,refute_0_8616]) ).
cnf(refute_0_8618,plain,
multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)) = multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662),
inference(subst,[],[left_identity:[bind(X,$fot(multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))]]) ).
cnf(refute_0_8619,plain,
( multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)) != multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)
| multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662) != commutator(X_454,multiply(X_455,X_455))
| multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)) = commutator(X_454,multiply(X_455,X_455)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))),bind(Y0,$fot(multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))),bind(Z0,$fot(commutator(X_454,multiply(X_455,X_455))))]]) ).
cnf(refute_0_8620,plain,
( multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662) != commutator(X_454,multiply(X_455,X_455))
| multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)) = commutator(X_454,multiply(X_455,X_455)) ),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)),multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)) )],[refute_0_8618,refute_0_8619]) ).
cnf(refute_0_8621,plain,
multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)) = commutator(X_454,multiply(X_455,X_455)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662),commutator(X_454,multiply(X_455,X_455))) )],[refute_0_8617,refute_0_8620]) ).
cnf(refute_0_8622,plain,
multiply(inverse(X_455),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))) = multiply(inverse(X_455),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_455),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))))]]) ).
cnf(refute_0_8623,plain,
( multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)) != commutator(X_454,multiply(X_455,X_455))
| multiply(inverse(X_455),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))) != multiply(inverse(X_455),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))
| multiply(inverse(X_455),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))) = multiply(inverse(X_455),commutator(X_454,multiply(X_455,X_455))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_455),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))),multiply(inverse(X_455),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))) ),[1,1],$fot(commutator(X_454,multiply(X_455,X_455)))]]) ).
cnf(refute_0_8624,plain,
( multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)) != commutator(X_454,multiply(X_455,X_455))
| multiply(inverse(X_455),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))) = multiply(inverse(X_455),commutator(X_454,multiply(X_455,X_455))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_455),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))),multiply(inverse(X_455),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))) )],[refute_0_8622,refute_0_8623]) ).
cnf(refute_0_8625,plain,
multiply(inverse(X_455),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))) = multiply(inverse(X_455),commutator(X_454,multiply(X_455,X_455))),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)),commutator(X_454,multiply(X_455,X_455))) )],[refute_0_8621,refute_0_8624]) ).
cnf(refute_0_8626,plain,
( multiply(inverse(X_455),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))) != multiply(inverse(X_455),commutator(X_454,multiply(X_455,X_455)))
| multiply(inverse(X_455),commutator(X_454,multiply(X_455,X_455))) != inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454)))
| multiply(inverse(X_455),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))) = inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(X_455),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))))),bind(Y0,$fot(multiply(inverse(X_455),commutator(X_454,multiply(X_455,X_455))))),bind(Z0,$fot(inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454)))))]]) ).
cnf(refute_0_8627,plain,
( multiply(inverse(X_455),commutator(X_454,multiply(X_455,X_455))) != inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454)))
| multiply(inverse(X_455),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))) = inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_455),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))),multiply(inverse(X_455),commutator(X_454,multiply(X_455,X_455)))) )],[refute_0_8625,refute_0_8626]) ).
cnf(refute_0_8628,plain,
multiply(inverse(X_455),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))) = inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_455),commutator(X_454,multiply(X_455,X_455))),inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454)))) )],[refute_0_8556,refute_0_8627]) ).
cnf(refute_0_8629,plain,
multiply(X_454,multiply(inverse(X_455),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))) = multiply(X_454,multiply(inverse(X_455),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))),
introduced(tautology,[refl,[$fot(multiply(X_454,multiply(inverse(X_455),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))))]]) ).
cnf(refute_0_8630,plain,
( multiply(X_454,multiply(inverse(X_455),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))) != multiply(X_454,multiply(inverse(X_455),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))))
| multiply(inverse(X_455),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))) != inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454)))
| multiply(X_454,multiply(inverse(X_455),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))) = multiply(X_454,inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_454,multiply(inverse(X_455),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))),multiply(X_454,multiply(inverse(X_455),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))))) ),[1,1],$fot(inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454))))]]) ).
cnf(refute_0_8631,plain,
( multiply(inverse(X_455),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))) != inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454)))
| multiply(X_454,multiply(inverse(X_455),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))) = multiply(X_454,inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454)))) ),
inference(resolve,[$cnf( $equal(multiply(X_454,multiply(inverse(X_455),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))),multiply(X_454,multiply(inverse(X_455),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))))) )],[refute_0_8629,refute_0_8630]) ).
cnf(refute_0_8632,plain,
multiply(X_454,multiply(inverse(X_455),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))) = multiply(X_454,inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454)))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_455),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))),inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454)))) )],[refute_0_8628,refute_0_8631]) ).
cnf(refute_0_8633,plain,
multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))) = multiply(X_454,multiply(inverse(X_455),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))),
inference(subst,[],[associativity:[bind(X,$fot(X_454)),bind(Y,$fot(inverse(X_455))),bind(Z,$fot(multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))))]]) ).
cnf(refute_0_8634,plain,
( multiply(X_454,multiply(inverse(X_455),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))) != multiply(X_454,inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454))))
| multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))) != multiply(X_454,multiply(inverse(X_455),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))))
| multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))) = multiply(X_454,inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))))),bind(Y0,$fot(multiply(X_454,multiply(inverse(X_455),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))))),bind(Z0,$fot(multiply(X_454,inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454))))))]]) ).
cnf(refute_0_8635,plain,
( multiply(X_454,multiply(inverse(X_455),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))) != multiply(X_454,inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454))))
| multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))) = multiply(X_454,inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))),multiply(X_454,multiply(inverse(X_455),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))))) )],[refute_0_8633,refute_0_8634]) ).
cnf(refute_0_8636,plain,
multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))) = multiply(X_454,inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454)))),
inference(resolve,[$cnf( $equal(multiply(X_454,multiply(inverse(X_455),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))),multiply(X_454,inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454))))) )],[refute_0_8632,refute_0_8635]) ).
cnf(refute_0_8637,plain,
inverse(multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))) = inverse(multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))))]]) ).
cnf(refute_0_8638,plain,
( multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))) != multiply(X_454,inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454))))
| inverse(multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))) != inverse(multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))))
| inverse(multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))) = inverse(multiply(X_454,inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))),inverse(multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))))) ),[1,0],$fot(multiply(X_454,inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454)))))]]) ).
cnf(refute_0_8639,plain,
( multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))) != multiply(X_454,inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454))))
| inverse(multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))) = inverse(multiply(X_454,inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))),inverse(multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))))) )],[refute_0_8637,refute_0_8638]) ).
cnf(refute_0_8640,plain,
inverse(multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))) = inverse(multiply(X_454,inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454))))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))),multiply(X_454,inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454))))) )],[refute_0_8636,refute_0_8639]) ).
cnf(refute_0_8641,plain,
( inverse(multiply(X_454,inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454))))) != multiply(inverse(multiply(X_454,X_455)),multiply(X_455,X_455))
| inverse(multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))) != inverse(multiply(X_454,inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454)))))
| inverse(multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))) = multiply(inverse(multiply(X_454,X_455)),multiply(X_455,X_455)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))))),bind(Y0,$fot(inverse(multiply(X_454,inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454))))))),bind(Z0,$fot(multiply(inverse(multiply(X_454,X_455)),multiply(X_455,X_455))))]]) ).
cnf(refute_0_8642,plain,
( inverse(multiply(X_454,inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454))))) != multiply(inverse(multiply(X_454,X_455)),multiply(X_455,X_455))
| inverse(multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))) = multiply(inverse(multiply(X_454,X_455)),multiply(X_455,X_455)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))),inverse(multiply(X_454,inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454)))))) )],[refute_0_8640,refute_0_8641]) ).
cnf(refute_0_8643,plain,
inverse(multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))) = multiply(inverse(multiply(X_454,X_455)),multiply(X_455,X_455)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_454,inverse(multiply(X_455,commutator(multiply(X_455,X_455),X_454))))),multiply(inverse(multiply(X_454,X_455)),multiply(X_455,X_455))) )],[refute_0_8547,refute_0_8642]) ).
cnf(refute_0_8644,plain,
( multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))) != inverse(multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))))
| inverse(multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))) != multiply(inverse(multiply(X_454,X_455)),multiply(X_455,X_455))
| multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))) = multiply(inverse(multiply(X_454,X_455)),multiply(X_455,X_455)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),multiply(inverse(multiply(X_454,X_455)),multiply(X_455,X_455))) ),[0],$fot(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))))]]) ).
cnf(refute_0_8645,plain,
( multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))) != inverse(multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))))
| multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))) = multiply(inverse(multiply(X_454,X_455)),multiply(X_455,X_455)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662)))),multiply(inverse(multiply(X_454,X_455)),multiply(X_455,X_455))) )],[refute_0_8643,refute_0_8644]) ).
cnf(refute_0_8646,plain,
( multiply(commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))) != inverse(multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))))
| multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))) = multiply(inverse(multiply(X_454,X_455)),multiply(X_455,X_455)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),inverse(multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))))) )],[refute_0_8471,refute_0_8645]) ).
cnf(refute_0_8647,plain,
multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))) = multiply(inverse(multiply(X_454,X_455)),multiply(X_455,X_455)),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(multiply(X_454,inverse(X_455)),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),X_662),multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454)))),inverse(multiply(multiply(X_454,inverse(X_455)),multiply(identity,multiply(inverse(multiply(multiply(X_454,inverse(X_455)),multiply(multiply(inverse(X_454),multiply(X_455,commutator(X_455,X_454))),X_662))),X_662))))) )],[refute_0_6190,refute_0_8646]) ).
cnf(refute_0_8648,plain,
multiply(inverse(X_664),multiply(X_665,commutator(X_665,X_664))) = multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665)),
inference(subst,[],[refute_0_8647:[bind(X_454,$fot(X_664)),bind(X_455,$fot(X_665))]]) ).
cnf(refute_0_8649,plain,
( multiply(inverse(X_664),multiply(X_665,commutator(X_665,X_664))) != multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))
| commutator(multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160) != commutator(multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160)
| commutator(multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))),X_160) = commutator(multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160),commutator(multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160)) ),[0,0,1],$fot(multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665)))]]) ).
cnf(refute_0_8650,plain,
( commutator(multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160) != commutator(multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160)
| commutator(multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))),X_160) = commutator(multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_664),multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))) )],[refute_0_8648,refute_0_8649]) ).
cnf(refute_0_8651,plain,
commutator(multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))),X_160) = commutator(multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160),commutator(multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160)) )],[refute_0_5634,refute_0_8650]) ).
cnf(refute_0_8652,plain,
commutator(multiply(inverse(multiply(X_599,X_597)),X_597),X_136) = multiply(multiply(inverse(multiply(X_599,X_597)),X_597),inverse(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(X_136,multiply(inverse(multiply(X_599,X_597)),X_597))))),
inference(subst,[],[refute_0_1327:[bind(X_58,$fot(multiply(inverse(multiply(X_599,X_597)),X_597)))]]) ).
cnf(refute_0_8653,plain,
commutator(X_169,multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))) = commutator(multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))),X_169),
inference(subst,[],[refute_0_1183:[bind(X_10,$fot(multiply(inverse(multiply(X_90,X_117)),X_117))),bind(X_160,$fot(X_169)),bind(X_162,$fot(multiply(X_90,commutator(X_90,X_117))))]]) ).
cnf(refute_0_8654,plain,
commutator(multiply(X_90,inverse(commutator(inverse(X_90),X_117))),multiply(commutator(inverse(X_90),X_117),inverse(X_90))) = identity,
inference(subst,[],[refute_0_4417:[bind(X_89,$fot(commutator(inverse(X_90),X_117)))]]) ).
cnf(refute_0_8655,plain,
multiply(commutator(inverse(X_90),X_117),inverse(X_90)) = multiply(inverse(X_117),multiply(inverse(X_90),X_117)),
inference(subst,[],[refute_0_1726:[bind(X_102,$fot(X_117)),bind(X_58,$fot(inverse(X_90)))]]) ).
cnf(refute_0_8656,plain,
( multiply(commutator(inverse(X_90),X_117),inverse(X_90)) != multiply(inverse(X_117),multiply(inverse(X_90),X_117))
| commutator(multiply(X_90,inverse(commutator(inverse(X_90),X_117))),multiply(commutator(inverse(X_90),X_117),inverse(X_90))) != identity
| commutator(multiply(X_90,inverse(commutator(inverse(X_90),X_117))),multiply(inverse(X_117),multiply(inverse(X_90),X_117))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_90,inverse(commutator(inverse(X_90),X_117))),multiply(commutator(inverse(X_90),X_117),inverse(X_90))),identity) ),[0,1],$fot(multiply(inverse(X_117),multiply(inverse(X_90),X_117)))]]) ).
cnf(refute_0_8657,plain,
( commutator(multiply(X_90,inverse(commutator(inverse(X_90),X_117))),multiply(commutator(inverse(X_90),X_117),inverse(X_90))) != identity
| commutator(multiply(X_90,inverse(commutator(inverse(X_90),X_117))),multiply(inverse(X_117),multiply(inverse(X_90),X_117))) = identity ),
inference(resolve,[$cnf( $equal(multiply(commutator(inverse(X_90),X_117),inverse(X_90)),multiply(inverse(X_117),multiply(inverse(X_90),X_117))) )],[refute_0_8655,refute_0_8656]) ).
cnf(refute_0_8658,plain,
commutator(multiply(X_90,inverse(commutator(inverse(X_90),X_117))),multiply(inverse(X_117),multiply(inverse(X_90),X_117))) = identity,
inference(resolve,[$cnf( $equal(commutator(multiply(X_90,inverse(commutator(inverse(X_90),X_117))),multiply(commutator(inverse(X_90),X_117),inverse(X_90))),identity) )],[refute_0_8654,refute_0_8657]) ).
cnf(refute_0_8659,plain,
multiply(inverse(X_117),multiply(inverse(X_90),X_117)) = multiply(inverse(multiply(X_90,X_117)),X_117),
inference(subst,[],[refute_0_242:[bind(Z,$fot(X_117)),bind(X_62,$fot(X_117)),bind(X_63,$fot(X_90))]]) ).
cnf(refute_0_8660,plain,
commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(X_117),multiply(inverse(X_90),X_117))) = commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(X_117),multiply(inverse(X_90),X_117))),
introduced(tautology,[refl,[$fot(commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(X_117),multiply(inverse(X_90),X_117))))]]) ).
cnf(refute_0_8661,plain,
( multiply(inverse(X_117),multiply(inverse(X_90),X_117)) != multiply(inverse(multiply(X_90,X_117)),X_117)
| commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(X_117),multiply(inverse(X_90),X_117))) != commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(X_117),multiply(inverse(X_90),X_117)))
| commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(X_117),multiply(inverse(X_90),X_117))) = commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(X_117),multiply(inverse(X_90),X_117))),commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(X_117),multiply(inverse(X_90),X_117)))) ),[1,1],$fot(multiply(inverse(multiply(X_90,X_117)),X_117))]]) ).
cnf(refute_0_8662,plain,
( multiply(inverse(X_117),multiply(inverse(X_90),X_117)) != multiply(inverse(multiply(X_90,X_117)),X_117)
| commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(X_117),multiply(inverse(X_90),X_117))) = commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(X_117),multiply(inverse(X_90),X_117))),commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(X_117),multiply(inverse(X_90),X_117)))) )],[refute_0_8660,refute_0_8661]) ).
cnf(refute_0_8663,plain,
commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(X_117),multiply(inverse(X_90),X_117))) = commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_117),multiply(inverse(X_90),X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)) )],[refute_0_8659,refute_0_8662]) ).
cnf(refute_0_8664,plain,
commutator(X_117,inverse(X_90)) = commutator(X_90,X_117),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(X_90)),bind(X_110,$fot(X_117))]]) ).
cnf(refute_0_8665,plain,
inverse(commutator(inverse(X_90),X_117)) = commutator(X_117,inverse(X_90)),
inference(subst,[],[refute_0_386:[bind(X,$fot(X_117)),bind(Y,$fot(inverse(X_90)))]]) ).
cnf(refute_0_8666,plain,
( commutator(X_117,inverse(X_90)) != commutator(X_90,X_117)
| inverse(commutator(inverse(X_90),X_117)) != commutator(X_117,inverse(X_90))
| inverse(commutator(inverse(X_90),X_117)) = commutator(X_90,X_117) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(commutator(inverse(X_90),X_117)))),bind(Y0,$fot(commutator(X_117,inverse(X_90)))),bind(Z0,$fot(commutator(X_90,X_117)))]]) ).
cnf(refute_0_8667,plain,
( commutator(X_117,inverse(X_90)) != commutator(X_90,X_117)
| inverse(commutator(inverse(X_90),X_117)) = commutator(X_90,X_117) ),
inference(resolve,[$cnf( $equal(inverse(commutator(inverse(X_90),X_117)),commutator(X_117,inverse(X_90))) )],[refute_0_8665,refute_0_8666]) ).
cnf(refute_0_8668,plain,
inverse(commutator(inverse(X_90),X_117)) = commutator(X_90,X_117),
inference(resolve,[$cnf( $equal(commutator(X_117,inverse(X_90)),commutator(X_90,X_117)) )],[refute_0_8664,refute_0_8667]) ).
cnf(refute_0_8669,plain,
multiply(X_90,inverse(commutator(inverse(X_90),X_117))) = multiply(X_90,inverse(commutator(inverse(X_90),X_117))),
introduced(tautology,[refl,[$fot(multiply(X_90,inverse(commutator(inverse(X_90),X_117))))]]) ).
cnf(refute_0_8670,plain,
( multiply(X_90,inverse(commutator(inverse(X_90),X_117))) != multiply(X_90,inverse(commutator(inverse(X_90),X_117)))
| inverse(commutator(inverse(X_90),X_117)) != commutator(X_90,X_117)
| multiply(X_90,inverse(commutator(inverse(X_90),X_117))) = multiply(X_90,commutator(X_90,X_117)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_90,inverse(commutator(inverse(X_90),X_117))),multiply(X_90,inverse(commutator(inverse(X_90),X_117)))) ),[1,1],$fot(commutator(X_90,X_117))]]) ).
cnf(refute_0_8671,plain,
( inverse(commutator(inverse(X_90),X_117)) != commutator(X_90,X_117)
| multiply(X_90,inverse(commutator(inverse(X_90),X_117))) = multiply(X_90,commutator(X_90,X_117)) ),
inference(resolve,[$cnf( $equal(multiply(X_90,inverse(commutator(inverse(X_90),X_117))),multiply(X_90,inverse(commutator(inverse(X_90),X_117)))) )],[refute_0_8669,refute_0_8670]) ).
cnf(refute_0_8672,plain,
multiply(X_90,inverse(commutator(inverse(X_90),X_117))) = multiply(X_90,commutator(X_90,X_117)),
inference(resolve,[$cnf( $equal(inverse(commutator(inverse(X_90),X_117)),commutator(X_90,X_117)) )],[refute_0_8668,refute_0_8671]) ).
cnf(refute_0_8673,plain,
commutator(multiply(X_90,inverse(commutator(inverse(X_90),X_117))),multiply(inverse(X_117),multiply(inverse(X_90),X_117))) = commutator(multiply(X_90,inverse(commutator(inverse(X_90),X_117))),multiply(inverse(X_117),multiply(inverse(X_90),X_117))),
introduced(tautology,[refl,[$fot(commutator(multiply(X_90,inverse(commutator(inverse(X_90),X_117))),multiply(inverse(X_117),multiply(inverse(X_90),X_117))))]]) ).
cnf(refute_0_8674,plain,
( multiply(X_90,inverse(commutator(inverse(X_90),X_117))) != multiply(X_90,commutator(X_90,X_117))
| commutator(multiply(X_90,inverse(commutator(inverse(X_90),X_117))),multiply(inverse(X_117),multiply(inverse(X_90),X_117))) != commutator(multiply(X_90,inverse(commutator(inverse(X_90),X_117))),multiply(inverse(X_117),multiply(inverse(X_90),X_117)))
| commutator(multiply(X_90,inverse(commutator(inverse(X_90),X_117))),multiply(inverse(X_117),multiply(inverse(X_90),X_117))) = commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(X_117),multiply(inverse(X_90),X_117))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_90,inverse(commutator(inverse(X_90),X_117))),multiply(inverse(X_117),multiply(inverse(X_90),X_117))),commutator(multiply(X_90,inverse(commutator(inverse(X_90),X_117))),multiply(inverse(X_117),multiply(inverse(X_90),X_117)))) ),[1,0],$fot(multiply(X_90,commutator(X_90,X_117)))]]) ).
cnf(refute_0_8675,plain,
( multiply(X_90,inverse(commutator(inverse(X_90),X_117))) != multiply(X_90,commutator(X_90,X_117))
| commutator(multiply(X_90,inverse(commutator(inverse(X_90),X_117))),multiply(inverse(X_117),multiply(inverse(X_90),X_117))) = commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(X_117),multiply(inverse(X_90),X_117))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_90,inverse(commutator(inverse(X_90),X_117))),multiply(inverse(X_117),multiply(inverse(X_90),X_117))),commutator(multiply(X_90,inverse(commutator(inverse(X_90),X_117))),multiply(inverse(X_117),multiply(inverse(X_90),X_117)))) )],[refute_0_8673,refute_0_8674]) ).
cnf(refute_0_8676,plain,
commutator(multiply(X_90,inverse(commutator(inverse(X_90),X_117))),multiply(inverse(X_117),multiply(inverse(X_90),X_117))) = commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(X_117),multiply(inverse(X_90),X_117))),
inference(resolve,[$cnf( $equal(multiply(X_90,inverse(commutator(inverse(X_90),X_117))),multiply(X_90,commutator(X_90,X_117))) )],[refute_0_8672,refute_0_8675]) ).
cnf(refute_0_8677,plain,
( commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(X_117),multiply(inverse(X_90),X_117))) != commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117))
| commutator(multiply(X_90,inverse(commutator(inverse(X_90),X_117))),multiply(inverse(X_117),multiply(inverse(X_90),X_117))) != commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(X_117),multiply(inverse(X_90),X_117)))
| commutator(multiply(X_90,inverse(commutator(inverse(X_90),X_117))),multiply(inverse(X_117),multiply(inverse(X_90),X_117))) = commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_90,inverse(commutator(inverse(X_90),X_117))),multiply(inverse(X_117),multiply(inverse(X_90),X_117))))),bind(Y0,$fot(commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(X_117),multiply(inverse(X_90),X_117))))),bind(Z0,$fot(commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117))))]]) ).
cnf(refute_0_8678,plain,
( commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(X_117),multiply(inverse(X_90),X_117))) != commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117))
| commutator(multiply(X_90,inverse(commutator(inverse(X_90),X_117))),multiply(inverse(X_117),multiply(inverse(X_90),X_117))) = commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_90,inverse(commutator(inverse(X_90),X_117))),multiply(inverse(X_117),multiply(inverse(X_90),X_117))),commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(X_117),multiply(inverse(X_90),X_117)))) )],[refute_0_8676,refute_0_8677]) ).
cnf(refute_0_8679,plain,
commutator(multiply(X_90,inverse(commutator(inverse(X_90),X_117))),multiply(inverse(X_117),multiply(inverse(X_90),X_117))) = commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(X_117),multiply(inverse(X_90),X_117))),commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117))) )],[refute_0_8663,refute_0_8678]) ).
cnf(refute_0_8680,plain,
( commutator(multiply(X_90,inverse(commutator(inverse(X_90),X_117))),multiply(inverse(X_117),multiply(inverse(X_90),X_117))) != commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117))
| commutator(multiply(X_90,inverse(commutator(inverse(X_90),X_117))),multiply(inverse(X_117),multiply(inverse(X_90),X_117))) != identity
| commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_90,inverse(commutator(inverse(X_90),X_117))),multiply(inverse(X_117),multiply(inverse(X_90),X_117))),identity) ),[0],$fot(commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))]]) ).
cnf(refute_0_8681,plain,
( commutator(multiply(X_90,inverse(commutator(inverse(X_90),X_117))),multiply(inverse(X_117),multiply(inverse(X_90),X_117))) != identity
| commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)) = identity ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_90,inverse(commutator(inverse(X_90),X_117))),multiply(inverse(X_117),multiply(inverse(X_90),X_117))),commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117))) )],[refute_0_8679,refute_0_8680]) ).
cnf(refute_0_8682,plain,
commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)) = identity,
inference(resolve,[$cnf( $equal(commutator(multiply(X_90,inverse(commutator(inverse(X_90),X_117))),multiply(inverse(X_117),multiply(inverse(X_90),X_117))),identity) )],[refute_0_8658,refute_0_8681]) ).
cnf(refute_0_8683,plain,
( commutator(X_169,multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))) != commutator(multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))),X_169)
| commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)) != identity
| commutator(X_169,multiply(multiply(inverse(multiply(X_90,X_117)),X_117),identity)) = commutator(multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))),X_169) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_169,multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))),commutator(multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))),X_169)) ),[0,1,1],$fot(identity)]]) ).
cnf(refute_0_8684,plain,
( commutator(X_169,multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))) != commutator(multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))),X_169)
| commutator(X_169,multiply(multiply(inverse(multiply(X_90,X_117)),X_117),identity)) = commutator(multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))),X_169) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),identity) )],[refute_0_8682,refute_0_8683]) ).
cnf(refute_0_8685,plain,
commutator(X_169,multiply(multiply(inverse(multiply(X_90,X_117)),X_117),identity)) = commutator(multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))),X_169),
inference(resolve,[$cnf( $equal(commutator(X_169,multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))),commutator(multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))),X_169)) )],[refute_0_8653,refute_0_8684]) ).
cnf(refute_0_8686,plain,
multiply(multiply(inverse(multiply(X_90,X_117)),X_117),identity) = multiply(inverse(multiply(X_90,X_117)),X_117),
inference(subst,[],[refute_0_100:[bind(X_16,$fot(multiply(inverse(multiply(X_90,X_117)),X_117)))]]) ).
cnf(refute_0_8687,plain,
commutator(X_169,multiply(multiply(inverse(multiply(X_90,X_117)),X_117),identity)) = commutator(X_169,multiply(multiply(inverse(multiply(X_90,X_117)),X_117),identity)),
introduced(tautology,[refl,[$fot(commutator(X_169,multiply(multiply(inverse(multiply(X_90,X_117)),X_117),identity)))]]) ).
cnf(refute_0_8688,plain,
( multiply(multiply(inverse(multiply(X_90,X_117)),X_117),identity) != multiply(inverse(multiply(X_90,X_117)),X_117)
| commutator(X_169,multiply(multiply(inverse(multiply(X_90,X_117)),X_117),identity)) != commutator(X_169,multiply(multiply(inverse(multiply(X_90,X_117)),X_117),identity))
| commutator(X_169,multiply(multiply(inverse(multiply(X_90,X_117)),X_117),identity)) = commutator(X_169,multiply(inverse(multiply(X_90,X_117)),X_117)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_169,multiply(multiply(inverse(multiply(X_90,X_117)),X_117),identity)),commutator(X_169,multiply(multiply(inverse(multiply(X_90,X_117)),X_117),identity))) ),[1,1],$fot(multiply(inverse(multiply(X_90,X_117)),X_117))]]) ).
cnf(refute_0_8689,plain,
( multiply(multiply(inverse(multiply(X_90,X_117)),X_117),identity) != multiply(inverse(multiply(X_90,X_117)),X_117)
| commutator(X_169,multiply(multiply(inverse(multiply(X_90,X_117)),X_117),identity)) = commutator(X_169,multiply(inverse(multiply(X_90,X_117)),X_117)) ),
inference(resolve,[$cnf( $equal(commutator(X_169,multiply(multiply(inverse(multiply(X_90,X_117)),X_117),identity)),commutator(X_169,multiply(multiply(inverse(multiply(X_90,X_117)),X_117),identity))) )],[refute_0_8687,refute_0_8688]) ).
cnf(refute_0_8690,plain,
commutator(X_169,multiply(multiply(inverse(multiply(X_90,X_117)),X_117),identity)) = commutator(X_169,multiply(inverse(multiply(X_90,X_117)),X_117)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(X_90,X_117)),X_117),identity),multiply(inverse(multiply(X_90,X_117)),X_117)) )],[refute_0_8686,refute_0_8689]) ).
cnf(refute_0_8691,plain,
( commutator(X_169,multiply(multiply(inverse(multiply(X_90,X_117)),X_117),identity)) != commutator(X_169,multiply(inverse(multiply(X_90,X_117)),X_117))
| commutator(X_169,multiply(multiply(inverse(multiply(X_90,X_117)),X_117),identity)) != commutator(multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))),X_169)
| commutator(X_169,multiply(inverse(multiply(X_90,X_117)),X_117)) = commutator(multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))),X_169) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_169,multiply(multiply(inverse(multiply(X_90,X_117)),X_117),identity)),commutator(multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))),X_169)) ),[0],$fot(commutator(X_169,multiply(inverse(multiply(X_90,X_117)),X_117)))]]) ).
cnf(refute_0_8692,plain,
( commutator(X_169,multiply(multiply(inverse(multiply(X_90,X_117)),X_117),identity)) != commutator(multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))),X_169)
| commutator(X_169,multiply(inverse(multiply(X_90,X_117)),X_117)) = commutator(multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))),X_169) ),
inference(resolve,[$cnf( $equal(commutator(X_169,multiply(multiply(inverse(multiply(X_90,X_117)),X_117),identity)),commutator(X_169,multiply(inverse(multiply(X_90,X_117)),X_117))) )],[refute_0_8690,refute_0_8691]) ).
cnf(refute_0_8693,plain,
inverse(commutator(X_117,X_90)) = commutator(X_90,X_117),
inference(subst,[],[refute_0_386:[bind(X,$fot(X_90)),bind(Y,$fot(X_117))]]) ).
cnf(refute_0_8694,plain,
Z = multiply(multiply(X_134,commutator(X_134,X_133)),multiply(inverse(multiply(X_134,commutator(X_134,X_133))),Z)),
inference(subst,[],[refute_0_141:[bind(X,$fot(multiply(X_134,commutator(X_134,X_133))))]]) ).
cnf(refute_0_8695,plain,
inverse(multiply(X_134,commutator(X_134,X_133))) = multiply(inverse(multiply(X_134,X_133)),X_133),
inference(subst,[],[refute_0_814:[bind(X_127,$fot(X_133)),bind(X_128,$fot(X_134))]]) ).
cnf(refute_0_8696,plain,
( Z != multiply(multiply(X_134,commutator(X_134,X_133)),multiply(inverse(multiply(X_134,commutator(X_134,X_133))),Z))
| inverse(multiply(X_134,commutator(X_134,X_133))) != multiply(inverse(multiply(X_134,X_133)),X_133)
| Z = multiply(multiply(X_134,commutator(X_134,X_133)),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(Z,multiply(multiply(X_134,commutator(X_134,X_133)),multiply(inverse(multiply(X_134,commutator(X_134,X_133))),Z))) ),[1,1,0],$fot(multiply(inverse(multiply(X_134,X_133)),X_133))]]) ).
cnf(refute_0_8697,plain,
( Z != multiply(multiply(X_134,commutator(X_134,X_133)),multiply(inverse(multiply(X_134,commutator(X_134,X_133))),Z))
| Z = multiply(multiply(X_134,commutator(X_134,X_133)),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_134,commutator(X_134,X_133))),multiply(inverse(multiply(X_134,X_133)),X_133)) )],[refute_0_8695,refute_0_8696]) ).
cnf(refute_0_8698,plain,
Z = multiply(multiply(X_134,commutator(X_134,X_133)),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z)),
inference(resolve,[$cnf( $equal(Z,multiply(multiply(X_134,commutator(X_134,X_133)),multiply(inverse(multiply(X_134,commutator(X_134,X_133))),Z))) )],[refute_0_8694,refute_0_8697]) ).
cnf(refute_0_8699,plain,
multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z) = multiply(inverse(multiply(X_134,X_133)),multiply(X_133,Z)),
inference(subst,[],[associativity:[bind(X,$fot(inverse(multiply(X_134,X_133)))),bind(Y,$fot(X_133))]]) ).
cnf(refute_0_8700,plain,
multiply(commutator(X_134,X_133),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z)) = multiply(commutator(X_134,X_133),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z)),
introduced(tautology,[refl,[$fot(multiply(commutator(X_134,X_133),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z)))]]) ).
cnf(refute_0_8701,plain,
( multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z) != multiply(inverse(multiply(X_134,X_133)),multiply(X_133,Z))
| multiply(commutator(X_134,X_133),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z)) != multiply(commutator(X_134,X_133),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z))
| multiply(commutator(X_134,X_133),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z)) = multiply(commutator(X_134,X_133),multiply(inverse(multiply(X_134,X_133)),multiply(X_133,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_134,X_133),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z)),multiply(commutator(X_134,X_133),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z))) ),[1,1],$fot(multiply(inverse(multiply(X_134,X_133)),multiply(X_133,Z)))]]) ).
cnf(refute_0_8702,plain,
( multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z) != multiply(inverse(multiply(X_134,X_133)),multiply(X_133,Z))
| multiply(commutator(X_134,X_133),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z)) = multiply(commutator(X_134,X_133),multiply(inverse(multiply(X_134,X_133)),multiply(X_133,Z))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_134,X_133),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z)),multiply(commutator(X_134,X_133),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z))) )],[refute_0_8700,refute_0_8701]) ).
cnf(refute_0_8703,plain,
multiply(commutator(X_134,X_133),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z)) = multiply(commutator(X_134,X_133),multiply(inverse(multiply(X_134,X_133)),multiply(X_133,Z))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z),multiply(inverse(multiply(X_134,X_133)),multiply(X_133,Z))) )],[refute_0_8699,refute_0_8702]) ).
cnf(refute_0_8704,plain,
multiply(X_134,multiply(commutator(X_134,X_133),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z))) = multiply(X_134,multiply(commutator(X_134,X_133),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z))),
introduced(tautology,[refl,[$fot(multiply(X_134,multiply(commutator(X_134,X_133),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z))))]]) ).
cnf(refute_0_8705,plain,
( multiply(X_134,multiply(commutator(X_134,X_133),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z))) != multiply(X_134,multiply(commutator(X_134,X_133),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z)))
| multiply(commutator(X_134,X_133),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z)) != multiply(commutator(X_134,X_133),multiply(inverse(multiply(X_134,X_133)),multiply(X_133,Z)))
| multiply(X_134,multiply(commutator(X_134,X_133),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z))) = multiply(X_134,multiply(commutator(X_134,X_133),multiply(inverse(multiply(X_134,X_133)),multiply(X_133,Z)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_134,multiply(commutator(X_134,X_133),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z))),multiply(X_134,multiply(commutator(X_134,X_133),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z)))) ),[1,1],$fot(multiply(commutator(X_134,X_133),multiply(inverse(multiply(X_134,X_133)),multiply(X_133,Z))))]]) ).
cnf(refute_0_8706,plain,
( multiply(commutator(X_134,X_133),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z)) != multiply(commutator(X_134,X_133),multiply(inverse(multiply(X_134,X_133)),multiply(X_133,Z)))
| multiply(X_134,multiply(commutator(X_134,X_133),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z))) = multiply(X_134,multiply(commutator(X_134,X_133),multiply(inverse(multiply(X_134,X_133)),multiply(X_133,Z)))) ),
inference(resolve,[$cnf( $equal(multiply(X_134,multiply(commutator(X_134,X_133),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z))),multiply(X_134,multiply(commutator(X_134,X_133),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z)))) )],[refute_0_8704,refute_0_8705]) ).
cnf(refute_0_8707,plain,
multiply(X_134,multiply(commutator(X_134,X_133),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z))) = multiply(X_134,multiply(commutator(X_134,X_133),multiply(inverse(multiply(X_134,X_133)),multiply(X_133,Z)))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_134,X_133),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z)),multiply(commutator(X_134,X_133),multiply(inverse(multiply(X_134,X_133)),multiply(X_133,Z)))) )],[refute_0_8703,refute_0_8706]) ).
cnf(refute_0_8708,plain,
multiply(multiply(X_134,commutator(X_134,X_133)),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z)) = multiply(X_134,multiply(commutator(X_134,X_133),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z))),
inference(subst,[],[associativity:[bind(X,$fot(X_134)),bind(Y,$fot(commutator(X_134,X_133))),bind(Z,$fot(multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z)))]]) ).
cnf(refute_0_8709,plain,
( multiply(X_134,multiply(commutator(X_134,X_133),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z))) != multiply(X_134,multiply(commutator(X_134,X_133),multiply(inverse(multiply(X_134,X_133)),multiply(X_133,Z))))
| multiply(multiply(X_134,commutator(X_134,X_133)),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z)) != multiply(X_134,multiply(commutator(X_134,X_133),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z)))
| multiply(multiply(X_134,commutator(X_134,X_133)),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z)) = multiply(X_134,multiply(commutator(X_134,X_133),multiply(inverse(multiply(X_134,X_133)),multiply(X_133,Z)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_134,commutator(X_134,X_133)),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z)))),bind(Y0,$fot(multiply(X_134,multiply(commutator(X_134,X_133),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z))))),bind(Z0,$fot(multiply(X_134,multiply(commutator(X_134,X_133),multiply(inverse(multiply(X_134,X_133)),multiply(X_133,Z))))))]]) ).
cnf(refute_0_8710,plain,
( multiply(X_134,multiply(commutator(X_134,X_133),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z))) != multiply(X_134,multiply(commutator(X_134,X_133),multiply(inverse(multiply(X_134,X_133)),multiply(X_133,Z))))
| multiply(multiply(X_134,commutator(X_134,X_133)),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z)) = multiply(X_134,multiply(commutator(X_134,X_133),multiply(inverse(multiply(X_134,X_133)),multiply(X_133,Z)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_134,commutator(X_134,X_133)),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z)),multiply(X_134,multiply(commutator(X_134,X_133),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z)))) )],[refute_0_8708,refute_0_8709]) ).
cnf(refute_0_8711,plain,
multiply(multiply(X_134,commutator(X_134,X_133)),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z)) = multiply(X_134,multiply(commutator(X_134,X_133),multiply(inverse(multiply(X_134,X_133)),multiply(X_133,Z)))),
inference(resolve,[$cnf( $equal(multiply(X_134,multiply(commutator(X_134,X_133),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z))),multiply(X_134,multiply(commutator(X_134,X_133),multiply(inverse(multiply(X_134,X_133)),multiply(X_133,Z))))) )],[refute_0_8707,refute_0_8710]) ).
cnf(refute_0_8712,plain,
( Z != multiply(multiply(X_134,commutator(X_134,X_133)),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z))
| multiply(multiply(X_134,commutator(X_134,X_133)),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z)) != multiply(X_134,multiply(commutator(X_134,X_133),multiply(inverse(multiply(X_134,X_133)),multiply(X_133,Z))))
| Z = multiply(X_134,multiply(commutator(X_134,X_133),multiply(inverse(multiply(X_134,X_133)),multiply(X_133,Z)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(Z,multiply(X_134,multiply(commutator(X_134,X_133),multiply(inverse(multiply(X_134,X_133)),multiply(X_133,Z))))) ),[0],$fot(multiply(multiply(X_134,commutator(X_134,X_133)),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z)))]]) ).
cnf(refute_0_8713,plain,
( Z != multiply(multiply(X_134,commutator(X_134,X_133)),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z))
| Z = multiply(X_134,multiply(commutator(X_134,X_133),multiply(inverse(multiply(X_134,X_133)),multiply(X_133,Z)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_134,commutator(X_134,X_133)),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z)),multiply(X_134,multiply(commutator(X_134,X_133),multiply(inverse(multiply(X_134,X_133)),multiply(X_133,Z))))) )],[refute_0_8711,refute_0_8712]) ).
cnf(refute_0_8714,plain,
Z = multiply(X_134,multiply(commutator(X_134,X_133),multiply(inverse(multiply(X_134,X_133)),multiply(X_133,Z)))),
inference(resolve,[$cnf( $equal(Z,multiply(multiply(X_134,commutator(X_134,X_133)),multiply(multiply(inverse(multiply(X_134,X_133)),X_133),Z))) )],[refute_0_8698,refute_0_8713]) ).
cnf(refute_0_8715,plain,
( Z != multiply(X_134,multiply(commutator(X_134,X_133),multiply(inverse(multiply(X_134,X_133)),multiply(X_133,Z))))
| multiply(X_134,multiply(commutator(X_134,X_133),multiply(inverse(multiply(X_134,X_133)),multiply(X_133,Z)))) = Z ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(Z)),bind(Y0,$fot(multiply(X_134,multiply(commutator(X_134,X_133),multiply(inverse(multiply(X_134,X_133)),multiply(X_133,Z))))))]]) ).
cnf(refute_0_8716,plain,
multiply(X_134,multiply(commutator(X_134,X_133),multiply(inverse(multiply(X_134,X_133)),multiply(X_133,Z)))) = Z,
inference(resolve,[$cnf( $equal(Z,multiply(X_134,multiply(commutator(X_134,X_133),multiply(inverse(multiply(X_134,X_133)),multiply(X_133,Z))))) )],[refute_0_8714,refute_0_8715]) ).
cnf(refute_0_8717,plain,
multiply(X_90,multiply(commutator(X_90,X_117),multiply(inverse(multiply(X_90,X_117)),multiply(X_117,commutator(X_117,X_90))))) = commutator(X_117,X_90),
inference(subst,[],[refute_0_8716:[bind(Z,$fot(commutator(X_117,X_90))),bind(X_133,$fot(X_117)),bind(X_134,$fot(X_90))]]) ).
cnf(refute_0_8718,plain,
multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90)) = multiply(inverse(multiply(X_90,X_117)),multiply(X_117,commutator(X_117,X_90))),
inference(subst,[],[associativity:[bind(X,$fot(inverse(multiply(X_90,X_117)))),bind(Y,$fot(X_117)),bind(Z,$fot(commutator(X_117,X_90)))]]) ).
cnf(refute_0_8719,plain,
multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90))) = multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90))),
introduced(tautology,[refl,[$fot(multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90))))]]) ).
cnf(refute_0_8720,plain,
( multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90)) != multiply(inverse(multiply(X_90,X_117)),multiply(X_117,commutator(X_117,X_90)))
| multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90))) != multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90)))
| multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90))) = multiply(commutator(X_90,X_117),multiply(inverse(multiply(X_90,X_117)),multiply(X_117,commutator(X_117,X_90)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90))),multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90)))) ),[1,1],$fot(multiply(inverse(multiply(X_90,X_117)),multiply(X_117,commutator(X_117,X_90))))]]) ).
cnf(refute_0_8721,plain,
( multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90)) != multiply(inverse(multiply(X_90,X_117)),multiply(X_117,commutator(X_117,X_90)))
| multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90))) = multiply(commutator(X_90,X_117),multiply(inverse(multiply(X_90,X_117)),multiply(X_117,commutator(X_117,X_90)))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90))),multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90)))) )],[refute_0_8719,refute_0_8720]) ).
cnf(refute_0_8722,plain,
multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90))) = multiply(commutator(X_90,X_117),multiply(inverse(multiply(X_90,X_117)),multiply(X_117,commutator(X_117,X_90)))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90)),multiply(inverse(multiply(X_90,X_117)),multiply(X_117,commutator(X_117,X_90)))) )],[refute_0_8718,refute_0_8721]) ).
cnf(refute_0_8723,plain,
multiply(X_90,multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90)))) = multiply(X_90,multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90)))),
introduced(tautology,[refl,[$fot(multiply(X_90,multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90)))))]]) ).
cnf(refute_0_8724,plain,
( multiply(X_90,multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90)))) != multiply(X_90,multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90))))
| multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90))) != multiply(commutator(X_90,X_117),multiply(inverse(multiply(X_90,X_117)),multiply(X_117,commutator(X_117,X_90))))
| multiply(X_90,multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90)))) = multiply(X_90,multiply(commutator(X_90,X_117),multiply(inverse(multiply(X_90,X_117)),multiply(X_117,commutator(X_117,X_90))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_90,multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90)))),multiply(X_90,multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90))))) ),[1,1],$fot(multiply(commutator(X_90,X_117),multiply(inverse(multiply(X_90,X_117)),multiply(X_117,commutator(X_117,X_90)))))]]) ).
cnf(refute_0_8725,plain,
( multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90))) != multiply(commutator(X_90,X_117),multiply(inverse(multiply(X_90,X_117)),multiply(X_117,commutator(X_117,X_90))))
| multiply(X_90,multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90)))) = multiply(X_90,multiply(commutator(X_90,X_117),multiply(inverse(multiply(X_90,X_117)),multiply(X_117,commutator(X_117,X_90))))) ),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90)))),multiply(X_90,multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90))))) )],[refute_0_8723,refute_0_8724]) ).
cnf(refute_0_8726,plain,
multiply(X_90,multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90)))) = multiply(X_90,multiply(commutator(X_90,X_117),multiply(inverse(multiply(X_90,X_117)),multiply(X_117,commutator(X_117,X_90))))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90))),multiply(commutator(X_90,X_117),multiply(inverse(multiply(X_90,X_117)),multiply(X_117,commutator(X_117,X_90))))) )],[refute_0_8722,refute_0_8725]) ).
cnf(refute_0_8727,plain,
( multiply(X_90,multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90)))) != multiply(X_90,multiply(commutator(X_90,X_117),multiply(inverse(multiply(X_90,X_117)),multiply(X_117,commutator(X_117,X_90)))))
| multiply(X_90,multiply(commutator(X_90,X_117),multiply(inverse(multiply(X_90,X_117)),multiply(X_117,commutator(X_117,X_90))))) != commutator(X_117,X_90)
| multiply(X_90,multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90)))) = commutator(X_117,X_90) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_90,multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90)))))),bind(Y0,$fot(multiply(X_90,multiply(commutator(X_90,X_117),multiply(inverse(multiply(X_90,X_117)),multiply(X_117,commutator(X_117,X_90))))))),bind(Z0,$fot(commutator(X_117,X_90)))]]) ).
cnf(refute_0_8728,plain,
( multiply(X_90,multiply(commutator(X_90,X_117),multiply(inverse(multiply(X_90,X_117)),multiply(X_117,commutator(X_117,X_90))))) != commutator(X_117,X_90)
| multiply(X_90,multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90)))) = commutator(X_117,X_90) ),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90)))),multiply(X_90,multiply(commutator(X_90,X_117),multiply(inverse(multiply(X_90,X_117)),multiply(X_117,commutator(X_117,X_90)))))) )],[refute_0_8726,refute_0_8727]) ).
cnf(refute_0_8729,plain,
multiply(X_90,multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90)))) = commutator(X_117,X_90),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(commutator(X_90,X_117),multiply(inverse(multiply(X_90,X_117)),multiply(X_117,commutator(X_117,X_90))))),commutator(X_117,X_90)) )],[refute_0_8717,refute_0_8728]) ).
cnf(refute_0_8730,plain,
multiply(multiply(X_90,commutator(X_90,X_117)),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90))) = multiply(X_90,multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90)))),
inference(subst,[],[associativity:[bind(X,$fot(X_90)),bind(Y,$fot(commutator(X_90,X_117))),bind(Z,$fot(multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90))))]]) ).
cnf(refute_0_8731,plain,
multiply(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(X_117,X_90)) = multiply(multiply(X_90,commutator(X_90,X_117)),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90))),
inference(subst,[],[associativity:[bind(X,$fot(multiply(X_90,commutator(X_90,X_117)))),bind(Y,$fot(multiply(inverse(multiply(X_90,X_117)),X_117))),bind(Z,$fot(commutator(X_117,X_90)))]]) ).
cnf(refute_0_8732,plain,
( multiply(multiply(X_90,commutator(X_90,X_117)),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90))) != multiply(X_90,multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90))))
| multiply(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(X_117,X_90)) != multiply(multiply(X_90,commutator(X_90,X_117)),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90)))
| multiply(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(X_117,X_90)) = multiply(X_90,multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(X_117,X_90)))),bind(Y0,$fot(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90))))),bind(Z0,$fot(multiply(X_90,multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90))))))]]) ).
cnf(refute_0_8733,plain,
( multiply(multiply(X_90,commutator(X_90,X_117)),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90))) != multiply(X_90,multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90))))
| multiply(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(X_117,X_90)) = multiply(X_90,multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(X_117,X_90)),multiply(multiply(X_90,commutator(X_90,X_117)),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90)))) )],[refute_0_8731,refute_0_8732]) ).
cnf(refute_0_8734,plain,
multiply(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(X_117,X_90)) = multiply(X_90,multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90))),multiply(X_90,multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90))))) )],[refute_0_8730,refute_0_8733]) ).
cnf(refute_0_8735,plain,
( multiply(X_90,multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90)))) != commutator(X_117,X_90)
| multiply(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(X_117,X_90)) != multiply(X_90,multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90))))
| multiply(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(X_117,X_90)) = commutator(X_117,X_90) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(X_117,X_90)))),bind(Y0,$fot(multiply(X_90,multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90)))))),bind(Z0,$fot(commutator(X_117,X_90)))]]) ).
cnf(refute_0_8736,plain,
( multiply(X_90,multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90)))) != commutator(X_117,X_90)
| multiply(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(X_117,X_90)) = commutator(X_117,X_90) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(X_117,X_90)),multiply(X_90,multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90))))) )],[refute_0_8734,refute_0_8735]) ).
cnf(refute_0_8737,plain,
multiply(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(X_117,X_90)) = commutator(X_117,X_90),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(commutator(X_90,X_117),multiply(multiply(inverse(multiply(X_90,X_117)),X_117),commutator(X_117,X_90)))),commutator(X_117,X_90)) )],[refute_0_8729,refute_0_8736]) ).
cnf(refute_0_8738,plain,
inverse(multiply(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(X_117,X_90))) = inverse(multiply(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(X_117,X_90))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(X_117,X_90))))]]) ).
cnf(refute_0_8739,plain,
( multiply(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(X_117,X_90)) != commutator(X_117,X_90)
| inverse(multiply(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(X_117,X_90))) != inverse(multiply(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(X_117,X_90)))
| inverse(multiply(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(X_117,X_90))) = inverse(commutator(X_117,X_90)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(X_117,X_90))),inverse(multiply(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(X_117,X_90)))) ),[1,0],$fot(commutator(X_117,X_90))]]) ).
cnf(refute_0_8740,plain,
( multiply(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(X_117,X_90)) != commutator(X_117,X_90)
| inverse(multiply(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(X_117,X_90))) = inverse(commutator(X_117,X_90)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(X_117,X_90))),inverse(multiply(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(X_117,X_90)))) )],[refute_0_8738,refute_0_8739]) ).
cnf(refute_0_8741,plain,
inverse(multiply(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(X_117,X_90))) = inverse(commutator(X_117,X_90)),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(X_117,X_90)),commutator(X_117,X_90)) )],[refute_0_8737,refute_0_8740]) ).
cnf(refute_0_8742,plain,
( inverse(multiply(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(X_117,X_90))) != inverse(commutator(X_117,X_90))
| inverse(commutator(X_117,X_90)) != commutator(X_90,X_117)
| inverse(multiply(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(X_117,X_90))) = commutator(X_90,X_117) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(X_117,X_90))))),bind(Y0,$fot(inverse(commutator(X_117,X_90)))),bind(Z0,$fot(commutator(X_90,X_117)))]]) ).
cnf(refute_0_8743,plain,
( inverse(commutator(X_117,X_90)) != commutator(X_90,X_117)
| inverse(multiply(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(X_117,X_90))) = commutator(X_90,X_117) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(X_117,X_90))),inverse(commutator(X_117,X_90))) )],[refute_0_8741,refute_0_8742]) ).
cnf(refute_0_8744,plain,
inverse(multiply(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(X_117,X_90))) = commutator(X_90,X_117),
inference(resolve,[$cnf( $equal(inverse(commutator(X_117,X_90)),commutator(X_90,X_117)) )],[refute_0_8693,refute_0_8743]) ).
cnf(refute_0_8745,plain,
multiply(commutator(X_90,X_117),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))) = inverse(multiply(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(X_117,X_90))),
inference(subst,[],[refute_0_378:[bind(X_58,$fot(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))),bind(X_65,$fot(X_90)),bind(X_66,$fot(X_117))]]) ).
cnf(refute_0_8746,plain,
( multiply(commutator(X_90,X_117),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))) != inverse(multiply(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(X_117,X_90)))
| inverse(multiply(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(X_117,X_90))) != commutator(X_90,X_117)
| multiply(commutator(X_90,X_117),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))) = commutator(X_90,X_117) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_90,X_117),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))))),bind(Y0,$fot(inverse(multiply(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(X_117,X_90))))),bind(Z0,$fot(commutator(X_90,X_117)))]]) ).
cnf(refute_0_8747,plain,
( inverse(multiply(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(X_117,X_90))) != commutator(X_90,X_117)
| multiply(commutator(X_90,X_117),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))) = commutator(X_90,X_117) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_90,X_117),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))),inverse(multiply(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(X_117,X_90)))) )],[refute_0_8745,refute_0_8746]) ).
cnf(refute_0_8748,plain,
multiply(commutator(X_90,X_117),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))) = commutator(X_90,X_117),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(X_117,X_90))),commutator(X_90,X_117)) )],[refute_0_8744,refute_0_8747]) ).
cnf(refute_0_8749,plain,
multiply(X_90,multiply(commutator(X_90,X_117),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117))))) = multiply(X_90,multiply(commutator(X_90,X_117),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117))))),
introduced(tautology,[refl,[$fot(multiply(X_90,multiply(commutator(X_90,X_117),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117))))))]]) ).
cnf(refute_0_8750,plain,
( multiply(X_90,multiply(commutator(X_90,X_117),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117))))) != multiply(X_90,multiply(commutator(X_90,X_117),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))))
| multiply(commutator(X_90,X_117),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))) != commutator(X_90,X_117)
| multiply(X_90,multiply(commutator(X_90,X_117),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117))))) = multiply(X_90,commutator(X_90,X_117)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_90,multiply(commutator(X_90,X_117),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117))))),multiply(X_90,multiply(commutator(X_90,X_117),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))))) ),[1,1],$fot(commutator(X_90,X_117))]]) ).
cnf(refute_0_8751,plain,
( multiply(commutator(X_90,X_117),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))) != commutator(X_90,X_117)
| multiply(X_90,multiply(commutator(X_90,X_117),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117))))) = multiply(X_90,commutator(X_90,X_117)) ),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(commutator(X_90,X_117),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117))))),multiply(X_90,multiply(commutator(X_90,X_117),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))))) )],[refute_0_8749,refute_0_8750]) ).
cnf(refute_0_8752,plain,
multiply(X_90,multiply(commutator(X_90,X_117),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117))))) = multiply(X_90,commutator(X_90,X_117)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_90,X_117),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))),commutator(X_90,X_117)) )],[refute_0_8748,refute_0_8751]) ).
cnf(refute_0_8753,plain,
multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))) = multiply(X_90,multiply(commutator(X_90,X_117),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117))))),
inference(subst,[],[associativity:[bind(X,$fot(X_90)),bind(Y,$fot(commutator(X_90,X_117))),bind(Z,$fot(inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))))]]) ).
cnf(refute_0_8754,plain,
( multiply(X_90,multiply(commutator(X_90,X_117),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117))))) != multiply(X_90,commutator(X_90,X_117))
| multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))) != multiply(X_90,multiply(commutator(X_90,X_117),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))))
| multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))) = multiply(X_90,commutator(X_90,X_117)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))))),bind(Y0,$fot(multiply(X_90,multiply(commutator(X_90,X_117),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117))))))),bind(Z0,$fot(multiply(X_90,commutator(X_90,X_117))))]]) ).
cnf(refute_0_8755,plain,
( multiply(X_90,multiply(commutator(X_90,X_117),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117))))) != multiply(X_90,commutator(X_90,X_117))
| multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))) = multiply(X_90,commutator(X_90,X_117)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))),multiply(X_90,multiply(commutator(X_90,X_117),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))))) )],[refute_0_8753,refute_0_8754]) ).
cnf(refute_0_8756,plain,
multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))) = multiply(X_90,commutator(X_90,X_117)),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(commutator(X_90,X_117),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117))))),multiply(X_90,commutator(X_90,X_117))) )],[refute_0_8752,refute_0_8755]) ).
cnf(refute_0_8757,plain,
commutator(multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))),X_169) = commutator(multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))),X_169),
introduced(tautology,[refl,[$fot(commutator(multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))),X_169))]]) ).
cnf(refute_0_8758,plain,
( multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))) != multiply(X_90,commutator(X_90,X_117))
| commutator(multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))),X_169) != commutator(multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))),X_169)
| commutator(multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))),X_169) = commutator(multiply(X_90,commutator(X_90,X_117)),X_169) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))),X_169),commutator(multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))),X_169)) ),[1,0],$fot(multiply(X_90,commutator(X_90,X_117)))]]) ).
cnf(refute_0_8759,plain,
( multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))) != multiply(X_90,commutator(X_90,X_117))
| commutator(multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))),X_169) = commutator(multiply(X_90,commutator(X_90,X_117)),X_169) ),
inference(resolve,[$cnf( $equal(commutator(multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))),X_169),commutator(multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))),X_169)) )],[refute_0_8757,refute_0_8758]) ).
cnf(refute_0_8760,plain,
commutator(multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))),X_169) = commutator(multiply(X_90,commutator(X_90,X_117)),X_169),
inference(resolve,[$cnf( $equal(multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))),multiply(X_90,commutator(X_90,X_117))) )],[refute_0_8756,refute_0_8759]) ).
cnf(refute_0_8761,plain,
( commutator(X_169,multiply(inverse(multiply(X_90,X_117)),X_117)) != commutator(multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))),X_169)
| commutator(multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))),X_169) != commutator(multiply(X_90,commutator(X_90,X_117)),X_169)
| commutator(X_169,multiply(inverse(multiply(X_90,X_117)),X_117)) = commutator(multiply(X_90,commutator(X_90,X_117)),X_169) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(X_169,multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(multiply(X_90,commutator(X_90,X_117)),X_169)) ),[0],$fot(commutator(multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))),X_169))]]) ).
cnf(refute_0_8762,plain,
( commutator(X_169,multiply(inverse(multiply(X_90,X_117)),X_117)) != commutator(multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))),X_169)
| commutator(X_169,multiply(inverse(multiply(X_90,X_117)),X_117)) = commutator(multiply(X_90,commutator(X_90,X_117)),X_169) ),
inference(resolve,[$cnf( $equal(commutator(multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))),X_169),commutator(multiply(X_90,commutator(X_90,X_117)),X_169)) )],[refute_0_8760,refute_0_8761]) ).
cnf(refute_0_8763,plain,
( commutator(X_169,multiply(multiply(inverse(multiply(X_90,X_117)),X_117),identity)) != commutator(multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))),X_169)
| commutator(X_169,multiply(inverse(multiply(X_90,X_117)),X_117)) = commutator(multiply(X_90,commutator(X_90,X_117)),X_169) ),
inference(resolve,[$cnf( $equal(commutator(X_169,multiply(inverse(multiply(X_90,X_117)),X_117)),commutator(multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))),X_169)) )],[refute_0_8692,refute_0_8762]) ).
cnf(refute_0_8764,plain,
commutator(X_169,multiply(inverse(multiply(X_90,X_117)),X_117)) = commutator(multiply(X_90,commutator(X_90,X_117)),X_169),
inference(resolve,[$cnf( $equal(commutator(X_169,multiply(multiply(inverse(multiply(X_90,X_117)),X_117),identity)),commutator(multiply(multiply(X_90,commutator(X_90,X_117)),inverse(multiply(multiply(X_90,commutator(X_90,X_117)),multiply(inverse(multiply(X_90,X_117)),X_117)))),X_169)) )],[refute_0_8685,refute_0_8763]) ).
cnf(refute_0_8765,plain,
commutator(X_136,multiply(inverse(multiply(X_599,X_597)),X_597)) = commutator(multiply(X_599,commutator(X_599,X_597)),X_136),
inference(subst,[],[refute_0_8764:[bind(X_117,$fot(X_597)),bind(X_169,$fot(X_136)),bind(X_90,$fot(X_599))]]) ).
cnf(refute_0_8766,plain,
( commutator(X_136,multiply(inverse(multiply(X_599,X_597)),X_597)) != commutator(multiply(X_599,commutator(X_599,X_597)),X_136)
| commutator(multiply(inverse(multiply(X_599,X_597)),X_597),X_136) != multiply(multiply(inverse(multiply(X_599,X_597)),X_597),inverse(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(X_136,multiply(inverse(multiply(X_599,X_597)),X_597)))))
| commutator(multiply(inverse(multiply(X_599,X_597)),X_597),X_136) = multiply(multiply(inverse(multiply(X_599,X_597)),X_597),inverse(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(multiply(X_599,X_597)),X_597),X_136),multiply(multiply(inverse(multiply(X_599,X_597)),X_597),inverse(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(X_136,multiply(inverse(multiply(X_599,X_597)),X_597)))))) ),[1,1,0,1],$fot(commutator(multiply(X_599,commutator(X_599,X_597)),X_136))]]) ).
cnf(refute_0_8767,plain,
( commutator(multiply(inverse(multiply(X_599,X_597)),X_597),X_136) != multiply(multiply(inverse(multiply(X_599,X_597)),X_597),inverse(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(X_136,multiply(inverse(multiply(X_599,X_597)),X_597)))))
| commutator(multiply(inverse(multiply(X_599,X_597)),X_597),X_136) = multiply(multiply(inverse(multiply(X_599,X_597)),X_597),inverse(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)))) ),
inference(resolve,[$cnf( $equal(commutator(X_136,multiply(inverse(multiply(X_599,X_597)),X_597)),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)) )],[refute_0_8765,refute_0_8766]) ).
cnf(refute_0_8768,plain,
commutator(multiply(inverse(multiply(X_599,X_597)),X_597),X_136) = multiply(multiply(inverse(multiply(X_599,X_597)),X_597),inverse(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)))),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(multiply(X_599,X_597)),X_597),X_136),multiply(multiply(inverse(multiply(X_599,X_597)),X_597),inverse(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(X_136,multiply(inverse(multiply(X_599,X_597)),X_597)))))) )],[refute_0_8652,refute_0_8767]) ).
cnf(refute_0_8769,plain,
inverse(multiply(inverse(multiply(X_599,X_597)),multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))))) = multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597)),
inference(subst,[],[refute_0_294:[bind(Z,$fot(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))))),bind(X_61,$fot(multiply(X_599,X_597)))]]) ).
cnf(refute_0_8770,plain,
multiply(multiply(inverse(multiply(X_599,X_597)),X_597),multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))) = multiply(inverse(multiply(X_599,X_597)),multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),
inference(subst,[],[associativity:[bind(X,$fot(inverse(multiply(X_599,X_597)))),bind(Y,$fot(X_597)),bind(Z,$fot(multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))))]]) ).
cnf(refute_0_8771,plain,
multiply(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)),multiply(inverse(X_597),multiply(X_599,X_597))) = multiply(multiply(inverse(multiply(X_599,X_597)),X_597),multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))),
inference(subst,[],[associativity:[bind(X,$fot(multiply(inverse(multiply(X_599,X_597)),X_597))),bind(Y,$fot(commutator(multiply(X_599,commutator(X_599,X_597)),X_136))),bind(Z,$fot(multiply(inverse(X_597),multiply(X_599,X_597))))]]) ).
cnf(refute_0_8772,plain,
( multiply(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)),multiply(inverse(X_597),multiply(X_599,X_597))) != multiply(multiply(inverse(multiply(X_599,X_597)),X_597),multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))
| multiply(multiply(inverse(multiply(X_599,X_597)),X_597),multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))) != multiply(inverse(multiply(X_599,X_597)),multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))))
| multiply(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)),multiply(inverse(X_597),multiply(X_599,X_597))) = multiply(inverse(multiply(X_599,X_597)),multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)),multiply(inverse(X_597),multiply(X_599,X_597))))),bind(Y0,$fot(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))))),bind(Z0,$fot(multiply(inverse(multiply(X_599,X_597)),multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))))))]]) ).
cnf(refute_0_8773,plain,
( multiply(multiply(inverse(multiply(X_599,X_597)),X_597),multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))) != multiply(inverse(multiply(X_599,X_597)),multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))))
| multiply(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)),multiply(inverse(X_597),multiply(X_599,X_597))) = multiply(inverse(multiply(X_599,X_597)),multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)),multiply(inverse(X_597),multiply(X_599,X_597))),multiply(multiply(inverse(multiply(X_599,X_597)),X_597),multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))) )],[refute_0_8771,refute_0_8772]) ).
cnf(refute_0_8774,plain,
multiply(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)),multiply(inverse(X_597),multiply(X_599,X_597))) = multiply(inverse(multiply(X_599,X_597)),multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))),multiply(inverse(multiply(X_599,X_597)),multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))))) )],[refute_0_8770,refute_0_8773]) ).
cnf(refute_0_8775,plain,
inverse(multiply(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)),multiply(inverse(X_597),multiply(X_599,X_597)))) = inverse(multiply(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)),multiply(inverse(X_597),multiply(X_599,X_597)))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)),multiply(inverse(X_597),multiply(X_599,X_597)))))]]) ).
cnf(refute_0_8776,plain,
( multiply(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)),multiply(inverse(X_597),multiply(X_599,X_597))) != multiply(inverse(multiply(X_599,X_597)),multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))))
| inverse(multiply(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)),multiply(inverse(X_597),multiply(X_599,X_597)))) != inverse(multiply(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)),multiply(inverse(X_597),multiply(X_599,X_597))))
| inverse(multiply(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)),multiply(inverse(X_597),multiply(X_599,X_597)))) = inverse(multiply(inverse(multiply(X_599,X_597)),multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)),multiply(inverse(X_597),multiply(X_599,X_597)))),inverse(multiply(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)),multiply(inverse(X_597),multiply(X_599,X_597))))) ),[1,0],$fot(multiply(inverse(multiply(X_599,X_597)),multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))))]]) ).
cnf(refute_0_8777,plain,
( multiply(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)),multiply(inverse(X_597),multiply(X_599,X_597))) != multiply(inverse(multiply(X_599,X_597)),multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))))
| inverse(multiply(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)),multiply(inverse(X_597),multiply(X_599,X_597)))) = inverse(multiply(inverse(multiply(X_599,X_597)),multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)),multiply(inverse(X_597),multiply(X_599,X_597)))),inverse(multiply(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)),multiply(inverse(X_597),multiply(X_599,X_597))))) )],[refute_0_8775,refute_0_8776]) ).
cnf(refute_0_8778,plain,
inverse(multiply(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)),multiply(inverse(X_597),multiply(X_599,X_597)))) = inverse(multiply(inverse(multiply(X_599,X_597)),multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))))),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)),multiply(inverse(X_597),multiply(X_599,X_597))),multiply(inverse(multiply(X_599,X_597)),multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))))) )],[refute_0_8774,refute_0_8777]) ).
cnf(refute_0_8779,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)),multiply(inverse(X_597),multiply(X_599,X_597)))) != inverse(multiply(inverse(multiply(X_599,X_597)),multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))))
| inverse(multiply(inverse(multiply(X_599,X_597)),multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))))) != multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597))
| inverse(multiply(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)),multiply(inverse(X_597),multiply(X_599,X_597)))) = multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(inverse(multiply(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)),multiply(inverse(X_597),multiply(X_599,X_597)))))),bind(Y0,$fot(inverse(multiply(inverse(multiply(X_599,X_597)),multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))))))),bind(Z0,$fot(multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597))))]]) ).
cnf(refute_0_8780,plain,
( inverse(multiply(inverse(multiply(X_599,X_597)),multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))))) != multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597))
| inverse(multiply(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)),multiply(inverse(X_597),multiply(X_599,X_597)))) = multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)),multiply(inverse(X_597),multiply(X_599,X_597)))),inverse(multiply(inverse(multiply(X_599,X_597)),multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))))) )],[refute_0_8778,refute_0_8779]) ).
cnf(refute_0_8781,plain,
inverse(multiply(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)),multiply(inverse(X_597),multiply(X_599,X_597)))) = multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(X_599,X_597)),multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))))),multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597))) )],[refute_0_8769,refute_0_8780]) ).
cnf(refute_0_8782,plain,
multiply(inverse(multiply(X_599,X_597)),multiply(X_597,inverse(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136))))) = inverse(multiply(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)),multiply(inverse(X_597),multiply(X_599,X_597)))),
inference(subst,[],[refute_0_1684:[bind(X_58,$fot(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)))),bind(X_73,$fot(multiply(X_599,X_597))),bind(X_74,$fot(X_597))]]) ).
cnf(refute_0_8783,plain,
multiply(multiply(inverse(multiply(X_599,X_597)),X_597),inverse(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)))) = multiply(inverse(multiply(X_599,X_597)),multiply(X_597,inverse(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136))))),
inference(subst,[],[associativity:[bind(X,$fot(inverse(multiply(X_599,X_597)))),bind(Y,$fot(X_597)),bind(Z,$fot(inverse(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)))))]]) ).
cnf(refute_0_8784,plain,
( multiply(multiply(inverse(multiply(X_599,X_597)),X_597),inverse(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)))) != multiply(inverse(multiply(X_599,X_597)),multiply(X_597,inverse(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)))))
| multiply(inverse(multiply(X_599,X_597)),multiply(X_597,inverse(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136))))) != inverse(multiply(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)),multiply(inverse(X_597),multiply(X_599,X_597))))
| multiply(multiply(inverse(multiply(X_599,X_597)),X_597),inverse(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)))) = inverse(multiply(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)),multiply(inverse(X_597),multiply(X_599,X_597)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),inverse(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)))))),bind(Y0,$fot(multiply(inverse(multiply(X_599,X_597)),multiply(X_597,inverse(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136))))))),bind(Z0,$fot(inverse(multiply(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)),multiply(inverse(X_597),multiply(X_599,X_597))))))]]) ).
cnf(refute_0_8785,plain,
( multiply(inverse(multiply(X_599,X_597)),multiply(X_597,inverse(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136))))) != inverse(multiply(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)),multiply(inverse(X_597),multiply(X_599,X_597))))
| multiply(multiply(inverse(multiply(X_599,X_597)),X_597),inverse(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)))) = inverse(multiply(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)),multiply(inverse(X_597),multiply(X_599,X_597)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),inverse(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)))),multiply(inverse(multiply(X_599,X_597)),multiply(X_597,inverse(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)))))) )],[refute_0_8783,refute_0_8784]) ).
cnf(refute_0_8786,plain,
multiply(multiply(inverse(multiply(X_599,X_597)),X_597),inverse(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)))) = inverse(multiply(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)),multiply(inverse(X_597),multiply(X_599,X_597)))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_599,X_597)),multiply(X_597,inverse(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136))))),inverse(multiply(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)),multiply(inverse(X_597),multiply(X_599,X_597))))) )],[refute_0_8782,refute_0_8785]) ).
cnf(refute_0_8787,plain,
( multiply(multiply(inverse(multiply(X_599,X_597)),X_597),inverse(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)))) != inverse(multiply(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)),multiply(inverse(X_597),multiply(X_599,X_597))))
| inverse(multiply(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)),multiply(inverse(X_597),multiply(X_599,X_597)))) != multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597))
| multiply(multiply(inverse(multiply(X_599,X_597)),X_597),inverse(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)))) = multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),inverse(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)))))),bind(Y0,$fot(inverse(multiply(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)),multiply(inverse(X_597),multiply(X_599,X_597)))))),bind(Z0,$fot(multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597))))]]) ).
cnf(refute_0_8788,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)),multiply(inverse(X_597),multiply(X_599,X_597)))) != multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597))
| multiply(multiply(inverse(multiply(X_599,X_597)),X_597),inverse(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)))) = multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),inverse(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)))),inverse(multiply(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)),multiply(inverse(X_597),multiply(X_599,X_597))))) )],[refute_0_8786,refute_0_8787]) ).
cnf(refute_0_8789,plain,
multiply(multiply(inverse(multiply(X_599,X_597)),X_597),inverse(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)))) = multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)),multiply(inverse(X_597),multiply(X_599,X_597)))),multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597))) )],[refute_0_8781,refute_0_8788]) ).
cnf(refute_0_8790,plain,
( multiply(multiply(inverse(multiply(X_599,X_597)),X_597),inverse(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)))) != multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597))
| commutator(multiply(inverse(multiply(X_599,X_597)),X_597),X_136) != multiply(multiply(inverse(multiply(X_599,X_597)),X_597),inverse(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136))))
| commutator(multiply(inverse(multiply(X_599,X_597)),X_597),X_136) = multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(multiply(X_599,X_597)),X_597),X_136),multiply(multiply(inverse(multiply(X_599,X_597)),X_597),inverse(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136))))) ),[1],$fot(multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597)))]]) ).
cnf(refute_0_8791,plain,
( commutator(multiply(inverse(multiply(X_599,X_597)),X_597),X_136) != multiply(multiply(inverse(multiply(X_599,X_597)),X_597),inverse(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136))))
| commutator(multiply(inverse(multiply(X_599,X_597)),X_597),X_136) = multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),inverse(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136)))),multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597))) )],[refute_0_8789,refute_0_8790]) ).
cnf(refute_0_8792,plain,
commutator(multiply(inverse(multiply(X_599,X_597)),X_597),X_136) = multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597)),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(multiply(X_599,X_597)),X_597),X_136),multiply(multiply(inverse(multiply(X_599,X_597)),X_597),inverse(multiply(multiply(inverse(multiply(X_599,X_597)),X_597),commutator(multiply(X_599,commutator(X_599,X_597)),X_136))))) )],[refute_0_8768,refute_0_8791]) ).
cnf(refute_0_8793,plain,
multiply(inverse(multiply(commutator(X_599,X_136),X_597)),X_597) = multiply(inverse(X_597),multiply(commutator(X_136,X_599),X_597)),
inference(subst,[],[refute_0_684:[bind(Z,$fot(X_597)),bind(X_353,$fot(X_597)),bind(X_354,$fot(X_599)),bind(X_355,$fot(X_136))]]) ).
cnf(refute_0_8794,plain,
multiply(inverse(multiply(X_599,multiply(commutator(X_599,X_136),X_597))),multiply(X_599,X_597)) = multiply(inverse(multiply(commutator(X_599,X_136),X_597)),X_597),
inference(subst,[],[refute_0_2826:[bind(Z,$fot(X_597)),bind(X_50,$fot(X_599)),bind(X_51,$fot(multiply(commutator(X_599,X_136),X_597)))]]) ).
cnf(refute_0_8795,plain,
( multiply(inverse(multiply(X_599,multiply(commutator(X_599,X_136),X_597))),multiply(X_599,X_597)) != multiply(inverse(multiply(commutator(X_599,X_136),X_597)),X_597)
| multiply(inverse(multiply(commutator(X_599,X_136),X_597)),X_597) != multiply(inverse(X_597),multiply(commutator(X_136,X_599),X_597))
| multiply(inverse(multiply(X_599,multiply(commutator(X_599,X_136),X_597))),multiply(X_599,X_597)) = multiply(inverse(X_597),multiply(commutator(X_136,X_599),X_597)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_599,multiply(commutator(X_599,X_136),X_597))),multiply(X_599,X_597)))),bind(Y0,$fot(multiply(inverse(multiply(commutator(X_599,X_136),X_597)),X_597))),bind(Z0,$fot(multiply(inverse(X_597),multiply(commutator(X_136,X_599),X_597))))]]) ).
cnf(refute_0_8796,plain,
( multiply(inverse(multiply(commutator(X_599,X_136),X_597)),X_597) != multiply(inverse(X_597),multiply(commutator(X_136,X_599),X_597))
| multiply(inverse(multiply(X_599,multiply(commutator(X_599,X_136),X_597))),multiply(X_599,X_597)) = multiply(inverse(X_597),multiply(commutator(X_136,X_599),X_597)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_599,multiply(commutator(X_599,X_136),X_597))),multiply(X_599,X_597)),multiply(inverse(multiply(commutator(X_599,X_136),X_597)),X_597)) )],[refute_0_8794,refute_0_8795]) ).
cnf(refute_0_8797,plain,
multiply(inverse(multiply(X_599,multiply(commutator(X_599,X_136),X_597))),multiply(X_599,X_597)) = multiply(inverse(X_597),multiply(commutator(X_136,X_599),X_597)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(commutator(X_599,X_136),X_597)),X_597),multiply(inverse(X_597),multiply(commutator(X_136,X_599),X_597))) )],[refute_0_8793,refute_0_8796]) ).
cnf(refute_0_8798,plain,
multiply(X_597,multiply(inverse(X_597),multiply(X_599,multiply(commutator(X_599,X_136),X_597)))) = multiply(X_599,multiply(commutator(X_599,X_136),X_597)),
inference(subst,[],[refute_0_343:[bind(X,$fot(X_597)),bind(Z,$fot(multiply(X_599,multiply(commutator(X_599,X_136),X_597))))]]) ).
cnf(refute_0_8799,plain,
multiply(commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))) = multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)),
inference(subst,[],[refute_0_2195:[bind(X_58,$fot(multiply(inverse(X_614),multiply(X_616,X_614))))]]) ).
cnf(refute_0_8800,plain,
commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102) = commutator(multiply(X_616,commutator(X_616,X_614)),X_102),
inference(subst,[],[refute_0_5633:[bind(Y,$fot(X_614)),bind(X_160,$fot(X_102)),bind(X_162,$fot(X_616))]]) ).
cnf(refute_0_8801,plain,
( multiply(commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))) != multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))
| commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102) != commutator(multiply(X_616,commutator(X_616,X_614)),X_102)
| multiply(commutator(multiply(X_616,commutator(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))) = multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))),multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))) ),[0,0],$fot(commutator(multiply(X_616,commutator(X_616,X_614)),X_102))]]) ).
cnf(refute_0_8802,plain,
( multiply(commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))) != multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))
| multiply(commutator(multiply(X_616,commutator(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))) = multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102),commutator(multiply(X_616,commutator(X_616,X_614)),X_102)) )],[refute_0_8800,refute_0_8801]) ).
cnf(refute_0_8803,plain,
multiply(commutator(multiply(X_616,commutator(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))) = multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))),multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))) )],[refute_0_8799,refute_0_8802]) ).
cnf(refute_0_8804,plain,
multiply(multiply(X_616,X_614),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)) = multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))),
inference(subst,[],[associativity:[bind(X,$fot(X_616)),bind(Y,$fot(X_614)),bind(Z,$fot(commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))]]) ).
cnf(refute_0_8805,plain,
multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))) = multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))))]]) ).
cnf(refute_0_8806,plain,
( multiply(multiply(X_616,X_614),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)) != multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))
| multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))) != multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))
| multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))) = multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))),multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))) ),[1,1],$fot(multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))))]]) ).
cnf(refute_0_8807,plain,
( multiply(multiply(X_616,X_614),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)) != multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))
| multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))) = multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))),multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))) )],[refute_0_8805,refute_0_8806]) ).
cnf(refute_0_8808,plain,
multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))) = multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_616,X_614),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))) )],[refute_0_8804,refute_0_8807]) ).
cnf(refute_0_8809,plain,
multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)) = multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))),
inference(subst,[],[associativity:[bind(X,$fot(inverse(X_614))),bind(Y,$fot(multiply(X_616,X_614))),bind(Z,$fot(commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))]]) ).
cnf(refute_0_8810,plain,
( multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)) != multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))
| multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))) != multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))))
| multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)) = multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))),bind(Y0,$fot(multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))))),bind(Z0,$fot(multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))))))]]) ).
cnf(refute_0_8811,plain,
( multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))) != multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))))
| multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)) = multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)),multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))) )],[refute_0_8809,refute_0_8810]) ).
cnf(refute_0_8812,plain,
multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)) = multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))),multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))))) )],[refute_0_8808,refute_0_8811]) ).
cnf(refute_0_8813,plain,
( multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)) != multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))))
| multiply(commutator(multiply(X_616,commutator(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))) != multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))
| multiply(commutator(multiply(X_616,commutator(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))) = multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(multiply(X_616,commutator(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))),multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))) ),[1],$fot(multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))))]]) ).
cnf(refute_0_8814,plain,
( multiply(commutator(multiply(X_616,commutator(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))) != multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))
| multiply(commutator(multiply(X_616,commutator(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))) = multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)),multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))))) )],[refute_0_8812,refute_0_8813]) ).
cnf(refute_0_8815,plain,
multiply(commutator(multiply(X_616,commutator(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))) = multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_616,commutator(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))),multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))) )],[refute_0_8803,refute_0_8814]) ).
cnf(refute_0_8816,plain,
( multiply(commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))) != multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))
| commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102) != commutator(multiply(X_616,commutator(X_616,X_614)),X_102)
| multiply(commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))) = multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(X_616,commutator(X_616,X_614)),X_102)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))),multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))) ),[1,1],$fot(commutator(multiply(X_616,commutator(X_616,X_614)),X_102))]]) ).
cnf(refute_0_8817,plain,
( multiply(commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))) != multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))
| multiply(commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))) = multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(X_616,commutator(X_616,X_614)),X_102)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102),commutator(multiply(X_616,commutator(X_616,X_614)),X_102)) )],[refute_0_8800,refute_0_8816]) ).
cnf(refute_0_8818,plain,
multiply(commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))) = multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(X_616,commutator(X_616,X_614)),X_102)),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))),multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))) )],[refute_0_8799,refute_0_8817]) ).
cnf(refute_0_8819,plain,
( multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)) != multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))
| multiply(commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))) != multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))
| multiply(commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))) = multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))))),bind(Y0,$fot(multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))),bind(Z0,$fot(multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))))]]) ).
cnf(refute_0_8820,plain,
( multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)) != multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))
| multiply(commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))) = multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))),multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))) )],[refute_0_8799,refute_0_8819]) ).
cnf(refute_0_8821,plain,
multiply(commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))) = multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)),multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))) )],[refute_0_8809,refute_0_8820]) ).
cnf(refute_0_8822,plain,
( multiply(commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))) != multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))
| multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))) != multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))))
| multiply(commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))) = multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))))),bind(Y0,$fot(multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))))),bind(Z0,$fot(multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))))))]]) ).
cnf(refute_0_8823,plain,
( multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))) != multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))))
| multiply(commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))) = multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))),multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))) )],[refute_0_8821,refute_0_8822]) ).
cnf(refute_0_8824,plain,
multiply(commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))) = multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))),multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))))) )],[refute_0_8808,refute_0_8823]) ).
cnf(refute_0_8825,plain,
( multiply(commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))) != multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(X_616,commutator(X_616,X_614)),X_102))
| multiply(commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))) != multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))))
| multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))) = multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(X_616,commutator(X_616,X_614)),X_102)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))),multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(X_616,commutator(X_616,X_614)),X_102))) ),[0],$fot(multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))))]]) ).
cnf(refute_0_8826,plain,
( multiply(commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))) != multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(X_616,commutator(X_616,X_614)),X_102))
| multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))) = multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(X_616,commutator(X_616,X_614)),X_102)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))),multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))))) )],[refute_0_8824,refute_0_8825]) ).
cnf(refute_0_8827,plain,
multiply(multiply(X_616,X_614),commutator(multiply(X_616,commutator(X_616,X_614)),X_102)) = multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102))),
inference(subst,[],[associativity:[bind(X,$fot(X_616)),bind(Y,$fot(X_614)),bind(Z,$fot(commutator(multiply(X_616,commutator(X_616,X_614)),X_102)))]]) ).
cnf(refute_0_8828,plain,
multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(X_616,commutator(X_616,X_614)),X_102))) = multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(X_616,commutator(X_616,X_614)),X_102))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(X_616,commutator(X_616,X_614)),X_102))))]]) ).
cnf(refute_0_8829,plain,
( multiply(multiply(X_616,X_614),commutator(multiply(X_616,commutator(X_616,X_614)),X_102)) != multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102)))
| multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(X_616,commutator(X_616,X_614)),X_102))) != multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(X_616,commutator(X_616,X_614)),X_102)))
| multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(X_616,commutator(X_616,X_614)),X_102))) = multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(X_616,commutator(X_616,X_614)),X_102))),multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(X_616,commutator(X_616,X_614)),X_102)))) ),[1,1],$fot(multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102))))]]) ).
cnf(refute_0_8830,plain,
( multiply(multiply(X_616,X_614),commutator(multiply(X_616,commutator(X_616,X_614)),X_102)) != multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102)))
| multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(X_616,commutator(X_616,X_614)),X_102))) = multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(X_616,commutator(X_616,X_614)),X_102))),multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(X_616,commutator(X_616,X_614)),X_102)))) )],[refute_0_8828,refute_0_8829]) ).
cnf(refute_0_8831,plain,
multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(X_616,commutator(X_616,X_614)),X_102))) = multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_616,X_614),commutator(multiply(X_616,commutator(X_616,X_614)),X_102)),multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102)))) )],[refute_0_8827,refute_0_8830]) ).
cnf(refute_0_8832,plain,
multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(X_616,commutator(X_616,X_614)),X_102)) = multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(X_616,commutator(X_616,X_614)),X_102))),
inference(subst,[],[associativity:[bind(X,$fot(inverse(X_614))),bind(Y,$fot(multiply(X_616,X_614))),bind(Z,$fot(commutator(multiply(X_616,commutator(X_616,X_614)),X_102)))]]) ).
cnf(refute_0_8833,plain,
( multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(X_616,commutator(X_616,X_614)),X_102)) != multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(X_616,commutator(X_616,X_614)),X_102)))
| multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(X_616,commutator(X_616,X_614)),X_102))) != multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102))))
| multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(X_616,commutator(X_616,X_614)),X_102)) = multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(X_616,commutator(X_616,X_614)),X_102)))),bind(Y0,$fot(multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(X_616,commutator(X_616,X_614)),X_102))))),bind(Z0,$fot(multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102))))))]]) ).
cnf(refute_0_8834,plain,
( multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(X_616,commutator(X_616,X_614)),X_102))) != multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102))))
| multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(X_616,commutator(X_616,X_614)),X_102)) = multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(X_616,commutator(X_616,X_614)),X_102)),multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(X_616,commutator(X_616,X_614)),X_102)))) )],[refute_0_8832,refute_0_8833]) ).
cnf(refute_0_8835,plain,
multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(X_616,commutator(X_616,X_614)),X_102)) = multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102)))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_614),multiply(multiply(X_616,X_614),commutator(multiply(X_616,commutator(X_616,X_614)),X_102))),multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102))))) )],[refute_0_8831,refute_0_8834]) ).
cnf(refute_0_8836,plain,
( multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(X_616,commutator(X_616,X_614)),X_102)) != multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102))))
| multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))) != multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(X_616,commutator(X_616,X_614)),X_102))
| multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))) = multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))),multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(X_616,commutator(X_616,X_614)),X_102))) ),[1],$fot(multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102)))))]]) ).
cnf(refute_0_8837,plain,
( multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))) != multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(X_616,commutator(X_616,X_614)),X_102))
| multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))) = multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(X_616,commutator(X_616,X_614)),X_102)),multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102))))) )],[refute_0_8835,refute_0_8836]) ).
cnf(refute_0_8838,plain,
( multiply(commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))) != multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(X_616,commutator(X_616,X_614)),X_102))
| multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))) = multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))),multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(X_616,commutator(X_616,X_614)),X_102))) )],[refute_0_8826,refute_0_8837]) ).
cnf(refute_0_8839,plain,
multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))) = multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102)))),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))),multiply(multiply(inverse(X_614),multiply(X_616,X_614)),commutator(multiply(X_616,commutator(X_616,X_614)),X_102))) )],[refute_0_8818,refute_0_8838]) ).
cnf(refute_0_8840,plain,
multiply(inverse(commutator(X_113,Y)),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))) = multiply(X_384,multiply(commutator(X_113,Y),commutator(X_384,commutator(X_113,Y)))),
inference(subst,[],[refute_0_3098:[bind(X_127,$fot(commutator(X_113,Y))),bind(X_134,$fot(X_384))]]) ).
cnf(refute_0_8841,plain,
commutator(X_113,commutator(X_384,Y)) = commutator(X_384,commutator(X_113,Y)),
inference(subst,[],[refute_0_2211:[bind(X,$fot(X_384))]]) ).
cnf(refute_0_8842,plain,
( commutator(X_113,commutator(X_384,Y)) != commutator(X_384,commutator(X_113,Y))
| commutator(X_384,commutator(X_113,Y)) = commutator(X_113,commutator(X_384,Y)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_113,commutator(X_384,Y)))),bind(Y0,$fot(commutator(X_384,commutator(X_113,Y))))]]) ).
cnf(refute_0_8843,plain,
commutator(X_384,commutator(X_113,Y)) = commutator(X_113,commutator(X_384,Y)),
inference(resolve,[$cnf( $equal(commutator(X_113,commutator(X_384,Y)),commutator(X_384,commutator(X_113,Y))) )],[refute_0_8841,refute_0_8842]) ).
cnf(refute_0_8844,plain,
( multiply(inverse(commutator(X_113,Y)),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))) != multiply(X_384,multiply(commutator(X_113,Y),commutator(X_384,commutator(X_113,Y))))
| commutator(X_384,commutator(X_113,Y)) != commutator(X_113,commutator(X_384,Y))
| multiply(inverse(commutator(X_113,Y)),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))) = multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,commutator(X_384,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(commutator(X_113,Y)),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_384,commutator(X_113,Y))))) ),[1,1,1],$fot(commutator(X_113,commutator(X_384,Y)))]]) ).
cnf(refute_0_8845,plain,
( multiply(inverse(commutator(X_113,Y)),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))) != multiply(X_384,multiply(commutator(X_113,Y),commutator(X_384,commutator(X_113,Y))))
| multiply(inverse(commutator(X_113,Y)),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))) = multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,commutator(X_384,Y)))) ),
inference(resolve,[$cnf( $equal(commutator(X_384,commutator(X_113,Y)),commutator(X_113,commutator(X_384,Y))) )],[refute_0_8843,refute_0_8844]) ).
cnf(refute_0_8846,plain,
multiply(inverse(commutator(X_113,Y)),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))) = multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,commutator(X_384,Y)))),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X_113,Y)),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_384,commutator(X_113,Y))))) )],[refute_0_8840,refute_0_8845]) ).
cnf(refute_0_8847,plain,
multiply(commutator(Y,X_113),multiply(X_384,commutator(multiply(X_113,X_113),Y))) = multiply(commutator(X_113,Y),X_384),
inference(subst,[],[refute_0_3161:[bind(X,$fot(X_113)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_8848,plain,
multiply(commutator(X_113,Y),commutator(X_113,Y)) = commutator(multiply(X_113,X_113),Y),
inference(subst,[],[refute_0_2686:[bind(X_325,$fot(Y)),bind(X_90,$fot(X_113))]]) ).
cnf(refute_0_8849,plain,
multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y))) = multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y))),
introduced(tautology,[refl,[$fot(multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y))))]]) ).
cnf(refute_0_8850,plain,
( multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y))) != multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))
| multiply(commutator(X_113,Y),commutator(X_113,Y)) != commutator(multiply(X_113,X_113),Y)
| multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y))) = multiply(X_384,commutator(multiply(X_113,X_113),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y))),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))) ),[1,1],$fot(commutator(multiply(X_113,X_113),Y))]]) ).
cnf(refute_0_8851,plain,
( multiply(commutator(X_113,Y),commutator(X_113,Y)) != commutator(multiply(X_113,X_113),Y)
| multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y))) = multiply(X_384,commutator(multiply(X_113,X_113),Y)) ),
inference(resolve,[$cnf( $equal(multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y))),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))) )],[refute_0_8849,refute_0_8850]) ).
cnf(refute_0_8852,plain,
multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y))) = multiply(X_384,commutator(multiply(X_113,X_113),Y)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_113,Y),commutator(X_113,Y)),commutator(multiply(X_113,X_113),Y)) )],[refute_0_8848,refute_0_8851]) ).
cnf(refute_0_8853,plain,
multiply(commutator(Y,X_113),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))) = multiply(commutator(Y,X_113),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))),
introduced(tautology,[refl,[$fot(multiply(commutator(Y,X_113),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))))]]) ).
cnf(refute_0_8854,plain,
( multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y))) != multiply(X_384,commutator(multiply(X_113,X_113),Y))
| multiply(commutator(Y,X_113),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))) != multiply(commutator(Y,X_113),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y))))
| multiply(commutator(Y,X_113),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))) = multiply(commutator(Y,X_113),multiply(X_384,commutator(multiply(X_113,X_113),Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(Y,X_113),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))),multiply(commutator(Y,X_113),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y))))) ),[1,1],$fot(multiply(X_384,commutator(multiply(X_113,X_113),Y)))]]) ).
cnf(refute_0_8855,plain,
( multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y))) != multiply(X_384,commutator(multiply(X_113,X_113),Y))
| multiply(commutator(Y,X_113),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))) = multiply(commutator(Y,X_113),multiply(X_384,commutator(multiply(X_113,X_113),Y))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(Y,X_113),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))),multiply(commutator(Y,X_113),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y))))) )],[refute_0_8853,refute_0_8854]) ).
cnf(refute_0_8856,plain,
multiply(commutator(Y,X_113),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))) = multiply(commutator(Y,X_113),multiply(X_384,commutator(multiply(X_113,X_113),Y))),
inference(resolve,[$cnf( $equal(multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y))),multiply(X_384,commutator(multiply(X_113,X_113),Y))) )],[refute_0_8852,refute_0_8855]) ).
cnf(refute_0_8857,plain,
inverse(commutator(X_113,Y)) = commutator(Y,X_113),
inference(subst,[],[refute_0_386:[bind(X,$fot(Y)),bind(Y,$fot(X_113))]]) ).
cnf(refute_0_8858,plain,
multiply(inverse(commutator(X_113,Y)),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))) = multiply(inverse(commutator(X_113,Y)),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))),
introduced(tautology,[refl,[$fot(multiply(inverse(commutator(X_113,Y)),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))))]]) ).
cnf(refute_0_8859,plain,
( multiply(inverse(commutator(X_113,Y)),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))) != multiply(inverse(commutator(X_113,Y)),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y))))
| inverse(commutator(X_113,Y)) != commutator(Y,X_113)
| multiply(inverse(commutator(X_113,Y)),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))) = multiply(commutator(Y,X_113),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(commutator(X_113,Y)),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))),multiply(inverse(commutator(X_113,Y)),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y))))) ),[1,0],$fot(commutator(Y,X_113))]]) ).
cnf(refute_0_8860,plain,
( inverse(commutator(X_113,Y)) != commutator(Y,X_113)
| multiply(inverse(commutator(X_113,Y)),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))) = multiply(commutator(Y,X_113),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X_113,Y)),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))),multiply(inverse(commutator(X_113,Y)),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y))))) )],[refute_0_8858,refute_0_8859]) ).
cnf(refute_0_8861,plain,
multiply(inverse(commutator(X_113,Y)),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))) = multiply(commutator(Y,X_113),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))),
inference(resolve,[$cnf( $equal(inverse(commutator(X_113,Y)),commutator(Y,X_113)) )],[refute_0_8857,refute_0_8860]) ).
cnf(refute_0_8862,plain,
( multiply(commutator(Y,X_113),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))) != multiply(commutator(Y,X_113),multiply(X_384,commutator(multiply(X_113,X_113),Y)))
| multiply(inverse(commutator(X_113,Y)),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))) != multiply(commutator(Y,X_113),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y))))
| multiply(inverse(commutator(X_113,Y)),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))) = multiply(commutator(Y,X_113),multiply(X_384,commutator(multiply(X_113,X_113),Y))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(commutator(X_113,Y)),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))))),bind(Y0,$fot(multiply(commutator(Y,X_113),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))))),bind(Z0,$fot(multiply(commutator(Y,X_113),multiply(X_384,commutator(multiply(X_113,X_113),Y)))))]]) ).
cnf(refute_0_8863,plain,
( multiply(commutator(Y,X_113),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))) != multiply(commutator(Y,X_113),multiply(X_384,commutator(multiply(X_113,X_113),Y)))
| multiply(inverse(commutator(X_113,Y)),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))) = multiply(commutator(Y,X_113),multiply(X_384,commutator(multiply(X_113,X_113),Y))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X_113,Y)),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))),multiply(commutator(Y,X_113),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y))))) )],[refute_0_8861,refute_0_8862]) ).
cnf(refute_0_8864,plain,
multiply(inverse(commutator(X_113,Y)),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))) = multiply(commutator(Y,X_113),multiply(X_384,commutator(multiply(X_113,X_113),Y))),
inference(resolve,[$cnf( $equal(multiply(commutator(Y,X_113),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))),multiply(commutator(Y,X_113),multiply(X_384,commutator(multiply(X_113,X_113),Y)))) )],[refute_0_8856,refute_0_8863]) ).
cnf(refute_0_8865,plain,
( multiply(commutator(Y,X_113),multiply(X_384,commutator(multiply(X_113,X_113),Y))) != multiply(commutator(X_113,Y),X_384)
| multiply(inverse(commutator(X_113,Y)),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))) != multiply(commutator(Y,X_113),multiply(X_384,commutator(multiply(X_113,X_113),Y)))
| multiply(inverse(commutator(X_113,Y)),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))) = multiply(commutator(X_113,Y),X_384) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(commutator(X_113,Y)),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))))),bind(Y0,$fot(multiply(commutator(Y,X_113),multiply(X_384,commutator(multiply(X_113,X_113),Y))))),bind(Z0,$fot(multiply(commutator(X_113,Y),X_384)))]]) ).
cnf(refute_0_8866,plain,
( multiply(commutator(Y,X_113),multiply(X_384,commutator(multiply(X_113,X_113),Y))) != multiply(commutator(X_113,Y),X_384)
| multiply(inverse(commutator(X_113,Y)),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))) = multiply(commutator(X_113,Y),X_384) ),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X_113,Y)),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))),multiply(commutator(Y,X_113),multiply(X_384,commutator(multiply(X_113,X_113),Y)))) )],[refute_0_8864,refute_0_8865]) ).
cnf(refute_0_8867,plain,
multiply(inverse(commutator(X_113,Y)),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))) = multiply(commutator(X_113,Y),X_384),
inference(resolve,[$cnf( $equal(multiply(commutator(Y,X_113),multiply(X_384,commutator(multiply(X_113,X_113),Y))),multiply(commutator(X_113,Y),X_384)) )],[refute_0_8847,refute_0_8866]) ).
cnf(refute_0_8868,plain,
( multiply(inverse(commutator(X_113,Y)),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))) != multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,commutator(X_384,Y))))
| multiply(inverse(commutator(X_113,Y)),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))) != multiply(commutator(X_113,Y),X_384)
| multiply(commutator(X_113,Y),X_384) = multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,commutator(X_384,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(commutator(X_113,Y)),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,commutator(X_384,Y))))) ),[0],$fot(multiply(commutator(X_113,Y),X_384))]]) ).
cnf(refute_0_8869,plain,
( multiply(inverse(commutator(X_113,Y)),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))) != multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,commutator(X_384,Y))))
| multiply(commutator(X_113,Y),X_384) = multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,commutator(X_384,Y)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X_113,Y)),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))),multiply(commutator(X_113,Y),X_384)) )],[refute_0_8867,refute_0_8868]) ).
cnf(refute_0_8870,plain,
multiply(commutator(X_113,Y),X_384) = multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,commutator(X_384,Y)))),
inference(resolve,[$cnf( $equal(multiply(inverse(commutator(X_113,Y)),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,Y)))),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,commutator(X_384,Y))))) )],[refute_0_8846,refute_0_8869]) ).
cnf(refute_0_8871,plain,
multiply(commutator(X_113,Y),commutator(X_113,commutator(X_384,Y))) = commutator(multiply(X_113,commutator(X_113,X_384)),Y),
inference(subst,[],[refute_0_4704:[bind(Y,$fot(X_384)),bind(X_161,$fot(X_113)),bind(X_162,$fot(Y))]]) ).
cnf(refute_0_8872,plain,
multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,commutator(X_384,Y)))) = multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,commutator(X_384,Y)))),
introduced(tautology,[refl,[$fot(multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,commutator(X_384,Y)))))]]) ).
cnf(refute_0_8873,plain,
( multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,commutator(X_384,Y)))) != multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,commutator(X_384,Y))))
| multiply(commutator(X_113,Y),commutator(X_113,commutator(X_384,Y))) != commutator(multiply(X_113,commutator(X_113,X_384)),Y)
| multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,commutator(X_384,Y)))) = multiply(X_384,commutator(multiply(X_113,commutator(X_113,X_384)),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,commutator(X_384,Y)))),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,commutator(X_384,Y))))) ),[1,1],$fot(commutator(multiply(X_113,commutator(X_113,X_384)),Y))]]) ).
cnf(refute_0_8874,plain,
( multiply(commutator(X_113,Y),commutator(X_113,commutator(X_384,Y))) != commutator(multiply(X_113,commutator(X_113,X_384)),Y)
| multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,commutator(X_384,Y)))) = multiply(X_384,commutator(multiply(X_113,commutator(X_113,X_384)),Y)) ),
inference(resolve,[$cnf( $equal(multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,commutator(X_384,Y)))),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,commutator(X_384,Y))))) )],[refute_0_8872,refute_0_8873]) ).
cnf(refute_0_8875,plain,
multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,commutator(X_384,Y)))) = multiply(X_384,commutator(multiply(X_113,commutator(X_113,X_384)),Y)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_113,Y),commutator(X_113,commutator(X_384,Y))),commutator(multiply(X_113,commutator(X_113,X_384)),Y)) )],[refute_0_8871,refute_0_8874]) ).
cnf(refute_0_8876,plain,
( multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,commutator(X_384,Y)))) != multiply(X_384,commutator(multiply(X_113,commutator(X_113,X_384)),Y))
| multiply(commutator(X_113,Y),X_384) != multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,commutator(X_384,Y))))
| multiply(commutator(X_113,Y),X_384) = multiply(X_384,commutator(multiply(X_113,commutator(X_113,X_384)),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_113,Y),X_384),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,commutator(X_384,Y))))) ),[1],$fot(multiply(X_384,commutator(multiply(X_113,commutator(X_113,X_384)),Y)))]]) ).
cnf(refute_0_8877,plain,
( multiply(commutator(X_113,Y),X_384) != multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,commutator(X_384,Y))))
| multiply(commutator(X_113,Y),X_384) = multiply(X_384,commutator(multiply(X_113,commutator(X_113,X_384)),Y)) ),
inference(resolve,[$cnf( $equal(multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,commutator(X_384,Y)))),multiply(X_384,commutator(multiply(X_113,commutator(X_113,X_384)),Y))) )],[refute_0_8875,refute_0_8876]) ).
cnf(refute_0_8878,plain,
multiply(commutator(X_113,Y),X_384) = multiply(X_384,commutator(multiply(X_113,commutator(X_113,X_384)),Y)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_113,Y),X_384),multiply(X_384,multiply(commutator(X_113,Y),commutator(X_113,commutator(X_384,Y))))) )],[refute_0_8870,refute_0_8877]) ).
cnf(refute_0_8879,plain,
( multiply(commutator(X_113,Y),X_384) != multiply(X_384,commutator(multiply(X_113,commutator(X_113,X_384)),Y))
| multiply(X_384,commutator(multiply(X_113,commutator(X_113,X_384)),Y)) = multiply(commutator(X_113,Y),X_384) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(commutator(X_113,Y),X_384))),bind(Y0,$fot(multiply(X_384,commutator(multiply(X_113,commutator(X_113,X_384)),Y))))]]) ).
cnf(refute_0_8880,plain,
multiply(X_384,commutator(multiply(X_113,commutator(X_113,X_384)),Y)) = multiply(commutator(X_113,Y),X_384),
inference(resolve,[$cnf( $equal(multiply(commutator(X_113,Y),X_384),multiply(X_384,commutator(multiply(X_113,commutator(X_113,X_384)),Y))) )],[refute_0_8878,refute_0_8879]) ).
cnf(refute_0_8881,plain,
multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102)) = multiply(commutator(X_616,X_102),X_614),
inference(subst,[],[refute_0_8880:[bind(Y,$fot(X_102)),bind(X_113,$fot(X_616)),bind(X_384,$fot(X_614))]]) ).
cnf(refute_0_8882,plain,
multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102))) = multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102))),
introduced(tautology,[refl,[$fot(multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102))))]]) ).
cnf(refute_0_8883,plain,
( multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102)) != multiply(commutator(X_616,X_102),X_614)
| multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102))) != multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102)))
| multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102))) = multiply(X_616,multiply(commutator(X_616,X_102),X_614)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102))),multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102)))) ),[1,1],$fot(multiply(commutator(X_616,X_102),X_614))]]) ).
cnf(refute_0_8884,plain,
( multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102)) != multiply(commutator(X_616,X_102),X_614)
| multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102))) = multiply(X_616,multiply(commutator(X_616,X_102),X_614)) ),
inference(resolve,[$cnf( $equal(multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102))),multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102)))) )],[refute_0_8882,refute_0_8883]) ).
cnf(refute_0_8885,plain,
multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102))) = multiply(X_616,multiply(commutator(X_616,X_102),X_614)),
inference(resolve,[$cnf( $equal(multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102)),multiply(commutator(X_616,X_102),X_614)) )],[refute_0_8881,refute_0_8884]) ).
cnf(refute_0_8886,plain,
multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102)))) = multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102)))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102)))))]]) ).
cnf(refute_0_8887,plain,
( multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102))) != multiply(X_616,multiply(commutator(X_616,X_102),X_614))
| multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102)))) != multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102))))
| multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102)))) = multiply(inverse(X_614),multiply(X_616,multiply(commutator(X_616,X_102),X_614))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102)))),multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102))))) ),[1,1],$fot(multiply(X_616,multiply(commutator(X_616,X_102),X_614)))]]) ).
cnf(refute_0_8888,plain,
( multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102))) != multiply(X_616,multiply(commutator(X_616,X_102),X_614))
| multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102)))) = multiply(inverse(X_614),multiply(X_616,multiply(commutator(X_616,X_102),X_614))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102)))),multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102))))) )],[refute_0_8886,refute_0_8887]) ).
cnf(refute_0_8889,plain,
multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102)))) = multiply(inverse(X_614),multiply(X_616,multiply(commutator(X_616,X_102),X_614))),
inference(resolve,[$cnf( $equal(multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102))),multiply(X_616,multiply(commutator(X_616,X_102),X_614))) )],[refute_0_8885,refute_0_8888]) ).
cnf(refute_0_8890,plain,
( multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102)))) != multiply(inverse(X_614),multiply(X_616,multiply(commutator(X_616,X_102),X_614)))
| multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))) != multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102))))
| multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))) = multiply(inverse(X_614),multiply(X_616,multiply(commutator(X_616,X_102),X_614))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))),multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102))))) ),[1],$fot(multiply(inverse(X_614),multiply(X_616,multiply(commutator(X_616,X_102),X_614))))]]) ).
cnf(refute_0_8891,plain,
( multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))) != multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102))))
| multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))) = multiply(inverse(X_614),multiply(X_616,multiply(commutator(X_616,X_102),X_614))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102)))),multiply(inverse(X_614),multiply(X_616,multiply(commutator(X_616,X_102),X_614)))) )],[refute_0_8889,refute_0_8890]) ).
cnf(refute_0_8892,plain,
multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))) = multiply(inverse(X_614),multiply(X_616,multiply(commutator(X_616,X_102),X_614))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))),multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(X_616,commutator(X_616,X_614)),X_102))))) )],[refute_0_8839,refute_0_8891]) ).
cnf(refute_0_8893,plain,
( multiply(commutator(multiply(X_616,commutator(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))) != multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))))
| multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))) != multiply(inverse(X_614),multiply(X_616,multiply(commutator(X_616,X_102),X_614)))
| multiply(commutator(multiply(X_616,commutator(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))) = multiply(inverse(X_614),multiply(X_616,multiply(commutator(X_616,X_102),X_614))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(commutator(multiply(X_616,commutator(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))),multiply(inverse(X_614),multiply(X_616,multiply(commutator(X_616,X_102),X_614)))) ),[0],$fot(multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))))]]) ).
cnf(refute_0_8894,plain,
( multiply(commutator(multiply(X_616,commutator(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))) != multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))))
| multiply(commutator(multiply(X_616,commutator(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))) = multiply(inverse(X_614),multiply(X_616,multiply(commutator(X_616,X_102),X_614))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102)))),multiply(inverse(X_614),multiply(X_616,multiply(commutator(X_616,X_102),X_614)))) )],[refute_0_8892,refute_0_8893]) ).
cnf(refute_0_8895,plain,
multiply(commutator(multiply(X_616,commutator(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))) = multiply(inverse(X_614),multiply(X_616,multiply(commutator(X_616,X_102),X_614))),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_616,commutator(X_616,X_614)),X_102),multiply(inverse(X_614),multiply(X_616,X_614))),multiply(inverse(X_614),multiply(X_616,multiply(X_614,commutator(multiply(inverse(X_614),multiply(X_616,X_614)),X_102))))) )],[refute_0_8815,refute_0_8894]) ).
cnf(refute_0_8896,plain,
multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))) = multiply(inverse(X_597),multiply(X_599,multiply(commutator(X_599,X_136),X_597))),
inference(subst,[],[refute_0_8895:[bind(X_102,$fot(X_136)),bind(X_614,$fot(X_597)),bind(X_616,$fot(X_599))]]) ).
cnf(refute_0_8897,plain,
multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))) = multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))),
introduced(tautology,[refl,[$fot(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))))]]) ).
cnf(refute_0_8898,plain,
( multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))) != multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))
| multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))) != multiply(inverse(X_597),multiply(X_599,multiply(commutator(X_599,X_136),X_597)))
| multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))) = multiply(X_597,multiply(inverse(X_597),multiply(X_599,multiply(commutator(X_599,X_136),X_597)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))),multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))) ),[1,1],$fot(multiply(inverse(X_597),multiply(X_599,multiply(commutator(X_599,X_136),X_597))))]]) ).
cnf(refute_0_8899,plain,
( multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))) != multiply(inverse(X_597),multiply(X_599,multiply(commutator(X_599,X_136),X_597)))
| multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))) = multiply(X_597,multiply(inverse(X_597),multiply(X_599,multiply(commutator(X_599,X_136),X_597)))) ),
inference(resolve,[$cnf( $equal(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))),multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))) )],[refute_0_8897,refute_0_8898]) ).
cnf(refute_0_8900,plain,
multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))) = multiply(X_597,multiply(inverse(X_597),multiply(X_599,multiply(commutator(X_599,X_136),X_597)))),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))),multiply(inverse(X_597),multiply(X_599,multiply(commutator(X_599,X_136),X_597)))) )],[refute_0_8896,refute_0_8899]) ).
cnf(refute_0_8901,plain,
( multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))) != multiply(X_597,multiply(inverse(X_597),multiply(X_599,multiply(commutator(X_599,X_136),X_597))))
| multiply(X_597,multiply(inverse(X_597),multiply(X_599,multiply(commutator(X_599,X_136),X_597)))) != multiply(X_599,multiply(commutator(X_599,X_136),X_597))
| multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))) = multiply(X_599,multiply(commutator(X_599,X_136),X_597)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))))),bind(Y0,$fot(multiply(X_597,multiply(inverse(X_597),multiply(X_599,multiply(commutator(X_599,X_136),X_597)))))),bind(Z0,$fot(multiply(X_599,multiply(commutator(X_599,X_136),X_597))))]]) ).
cnf(refute_0_8902,plain,
( multiply(X_597,multiply(inverse(X_597),multiply(X_599,multiply(commutator(X_599,X_136),X_597)))) != multiply(X_599,multiply(commutator(X_599,X_136),X_597))
| multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))) = multiply(X_599,multiply(commutator(X_599,X_136),X_597)) ),
inference(resolve,[$cnf( $equal(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))),multiply(X_597,multiply(inverse(X_597),multiply(X_599,multiply(commutator(X_599,X_136),X_597))))) )],[refute_0_8900,refute_0_8901]) ).
cnf(refute_0_8903,plain,
multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))) = multiply(X_599,multiply(commutator(X_599,X_136),X_597)),
inference(resolve,[$cnf( $equal(multiply(X_597,multiply(inverse(X_597),multiply(X_599,multiply(commutator(X_599,X_136),X_597)))),multiply(X_599,multiply(commutator(X_599,X_136),X_597))) )],[refute_0_8798,refute_0_8902]) ).
cnf(refute_0_8904,plain,
inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))) = inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))))]]) ).
cnf(refute_0_8905,plain,
( multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))) != multiply(X_599,multiply(commutator(X_599,X_136),X_597))
| inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))) != inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))))
| inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))) = inverse(multiply(X_599,multiply(commutator(X_599,X_136),X_597))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))))) ),[1,0],$fot(multiply(X_599,multiply(commutator(X_599,X_136),X_597)))]]) ).
cnf(refute_0_8906,plain,
( multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))) != multiply(X_599,multiply(commutator(X_599,X_136),X_597))
| inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))) = inverse(multiply(X_599,multiply(commutator(X_599,X_136),X_597))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))))) )],[refute_0_8904,refute_0_8905]) ).
cnf(refute_0_8907,plain,
inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))) = inverse(multiply(X_599,multiply(commutator(X_599,X_136),X_597))),
inference(resolve,[$cnf( $equal(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597)))),multiply(X_599,multiply(commutator(X_599,X_136),X_597))) )],[refute_0_8903,refute_0_8906]) ).
cnf(refute_0_8908,plain,
multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597)) = multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597)),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597)))]]) ).
cnf(refute_0_8909,plain,
( multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597)) != multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597))
| inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))) != inverse(multiply(X_599,multiply(commutator(X_599,X_136),X_597)))
| multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597)) = multiply(inverse(multiply(X_599,multiply(commutator(X_599,X_136),X_597))),multiply(X_599,X_597)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597)),multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597))) ),[1,0],$fot(inverse(multiply(X_599,multiply(commutator(X_599,X_136),X_597))))]]) ).
cnf(refute_0_8910,plain,
( inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))) != inverse(multiply(X_599,multiply(commutator(X_599,X_136),X_597)))
| multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597)) = multiply(inverse(multiply(X_599,multiply(commutator(X_599,X_136),X_597))),multiply(X_599,X_597)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597)),multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597))) )],[refute_0_8908,refute_0_8909]) ).
cnf(refute_0_8911,plain,
multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597)) = multiply(inverse(multiply(X_599,multiply(commutator(X_599,X_136),X_597))),multiply(X_599,X_597)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),inverse(multiply(X_599,multiply(commutator(X_599,X_136),X_597)))) )],[refute_0_8907,refute_0_8910]) ).
cnf(refute_0_8912,plain,
( multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597)) != multiply(inverse(multiply(X_599,multiply(commutator(X_599,X_136),X_597))),multiply(X_599,X_597))
| multiply(inverse(multiply(X_599,multiply(commutator(X_599,X_136),X_597))),multiply(X_599,X_597)) != multiply(inverse(X_597),multiply(commutator(X_136,X_599),X_597))
| multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597)) = multiply(inverse(X_597),multiply(commutator(X_136,X_599),X_597)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597)))),bind(Y0,$fot(multiply(inverse(multiply(X_599,multiply(commutator(X_599,X_136),X_597))),multiply(X_599,X_597)))),bind(Z0,$fot(multiply(inverse(X_597),multiply(commutator(X_136,X_599),X_597))))]]) ).
cnf(refute_0_8913,plain,
( multiply(inverse(multiply(X_599,multiply(commutator(X_599,X_136),X_597))),multiply(X_599,X_597)) != multiply(inverse(X_597),multiply(commutator(X_136,X_599),X_597))
| multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597)) = multiply(inverse(X_597),multiply(commutator(X_136,X_599),X_597)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597)),multiply(inverse(multiply(X_599,multiply(commutator(X_599,X_136),X_597))),multiply(X_599,X_597))) )],[refute_0_8911,refute_0_8912]) ).
cnf(refute_0_8914,plain,
multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597)) = multiply(inverse(X_597),multiply(commutator(X_136,X_599),X_597)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_599,multiply(commutator(X_599,X_136),X_597))),multiply(X_599,X_597)),multiply(inverse(X_597),multiply(commutator(X_136,X_599),X_597))) )],[refute_0_8797,refute_0_8913]) ).
cnf(refute_0_8915,plain,
( multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597)) != multiply(inverse(X_597),multiply(commutator(X_136,X_599),X_597))
| commutator(multiply(inverse(multiply(X_599,X_597)),X_597),X_136) != multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597))
| commutator(multiply(inverse(multiply(X_599,X_597)),X_597),X_136) = multiply(inverse(X_597),multiply(commutator(X_136,X_599),X_597)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(multiply(X_599,X_597)),X_597),X_136),multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597))) ),[1],$fot(multiply(inverse(X_597),multiply(commutator(X_136,X_599),X_597)))]]) ).
cnf(refute_0_8916,plain,
( commutator(multiply(inverse(multiply(X_599,X_597)),X_597),X_136) != multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597))
| commutator(multiply(inverse(multiply(X_599,X_597)),X_597),X_136) = multiply(inverse(X_597),multiply(commutator(X_136,X_599),X_597)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597)),multiply(inverse(X_597),multiply(commutator(X_136,X_599),X_597))) )],[refute_0_8914,refute_0_8915]) ).
cnf(refute_0_8917,plain,
commutator(multiply(inverse(multiply(X_599,X_597)),X_597),X_136) = multiply(inverse(X_597),multiply(commutator(X_136,X_599),X_597)),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(multiply(X_599,X_597)),X_597),X_136),multiply(inverse(multiply(X_597,multiply(commutator(multiply(X_599,commutator(X_599,X_597)),X_136),multiply(inverse(X_597),multiply(X_599,X_597))))),multiply(X_599,X_597))) )],[refute_0_8792,refute_0_8916]) ).
cnf(refute_0_8918,plain,
commutator(multiply(inverse(multiply(X_664,X_665)),X_665),X_160) = multiply(inverse(X_665),multiply(commutator(X_160,X_664),X_665)),
inference(subst,[],[refute_0_8917:[bind(X_136,$fot(X_160)),bind(X_597,$fot(X_665)),bind(X_599,$fot(X_664))]]) ).
cnf(refute_0_8919,plain,
multiply(inverse(X_665),multiply(inverse(X_664),X_665)) = multiply(inverse(multiply(X_664,X_665)),X_665),
inference(subst,[],[refute_0_242:[bind(Z,$fot(X_665)),bind(X_62,$fot(X_665)),bind(X_63,$fot(X_664))]]) ).
cnf(refute_0_8920,plain,
multiply(X_665,identity) = X_665,
inference(subst,[],[refute_0_100:[bind(X_16,$fot(X_665))]]) ).
cnf(refute_0_8921,plain,
commutator(X_665,X_665) = identity,
inference(subst,[],[refute_0_1069:[bind(X,$fot(X_665))]]) ).
cnf(refute_0_8922,plain,
multiply(X_665,commutator(X_665,X_665)) = multiply(X_665,commutator(X_665,X_665)),
introduced(tautology,[refl,[$fot(multiply(X_665,commutator(X_665,X_665)))]]) ).
cnf(refute_0_8923,plain,
( multiply(X_665,commutator(X_665,X_665)) != multiply(X_665,commutator(X_665,X_665))
| commutator(X_665,X_665) != identity
| multiply(X_665,commutator(X_665,X_665)) = multiply(X_665,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_665,commutator(X_665,X_665)),multiply(X_665,commutator(X_665,X_665))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_8924,plain,
( commutator(X_665,X_665) != identity
| multiply(X_665,commutator(X_665,X_665)) = multiply(X_665,identity) ),
inference(resolve,[$cnf( $equal(multiply(X_665,commutator(X_665,X_665)),multiply(X_665,commutator(X_665,X_665))) )],[refute_0_8922,refute_0_8923]) ).
cnf(refute_0_8925,plain,
multiply(X_665,commutator(X_665,X_665)) = multiply(X_665,identity),
inference(resolve,[$cnf( $equal(commutator(X_665,X_665),identity) )],[refute_0_8921,refute_0_8924]) ).
cnf(refute_0_8926,plain,
( multiply(X_665,commutator(X_665,X_665)) != multiply(X_665,identity)
| multiply(X_665,identity) != X_665
| multiply(X_665,commutator(X_665,X_665)) = X_665 ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_665,commutator(X_665,X_665)))),bind(Y0,$fot(multiply(X_665,identity))),bind(Z0,$fot(X_665))]]) ).
cnf(refute_0_8927,plain,
( multiply(X_665,identity) != X_665
| multiply(X_665,commutator(X_665,X_665)) = X_665 ),
inference(resolve,[$cnf( $equal(multiply(X_665,commutator(X_665,X_665)),multiply(X_665,identity)) )],[refute_0_8925,refute_0_8926]) ).
cnf(refute_0_8928,plain,
multiply(X_665,commutator(X_665,X_665)) = X_665,
inference(resolve,[$cnf( $equal(multiply(X_665,identity),X_665) )],[refute_0_8920,refute_0_8927]) ).
cnf(refute_0_8929,plain,
multiply(inverse(X_664),multiply(X_665,commutator(X_665,X_665))) = multiply(inverse(X_664),multiply(X_665,commutator(X_665,X_665))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_664),multiply(X_665,commutator(X_665,X_665))))]]) ).
cnf(refute_0_8930,plain,
( multiply(X_665,commutator(X_665,X_665)) != X_665
| multiply(inverse(X_664),multiply(X_665,commutator(X_665,X_665))) != multiply(inverse(X_664),multiply(X_665,commutator(X_665,X_665)))
| multiply(inverse(X_664),multiply(X_665,commutator(X_665,X_665))) = multiply(inverse(X_664),X_665) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_664),multiply(X_665,commutator(X_665,X_665))),multiply(inverse(X_664),multiply(X_665,commutator(X_665,X_665)))) ),[1,1],$fot(X_665)]]) ).
cnf(refute_0_8931,plain,
( multiply(X_665,commutator(X_665,X_665)) != X_665
| multiply(inverse(X_664),multiply(X_665,commutator(X_665,X_665))) = multiply(inverse(X_664),X_665) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_664),multiply(X_665,commutator(X_665,X_665))),multiply(inverse(X_664),multiply(X_665,commutator(X_665,X_665)))) )],[refute_0_8929,refute_0_8930]) ).
cnf(refute_0_8932,plain,
multiply(inverse(X_664),multiply(X_665,commutator(X_665,X_665))) = multiply(inverse(X_664),X_665),
inference(resolve,[$cnf( $equal(multiply(X_665,commutator(X_665,X_665)),X_665) )],[refute_0_8928,refute_0_8931]) ).
cnf(refute_0_8933,plain,
multiply(inverse(X_51),multiply(X_510,commutator(X_510,X_50))) = multiply(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_510,commutator(X_510,X_50)))),
inference(subst,[],[refute_0_677:[bind(Z,$fot(multiply(X_510,commutator(X_510,X_50))))]]) ).
cnf(refute_0_8934,plain,
multiply(X_510,X_50) = multiply(X_50,multiply(X_510,commutator(X_510,X_50))),
inference(subst,[],[refute_0_194:[bind(X,$fot(X_510)),bind(Y,$fot(X_50))]]) ).
cnf(refute_0_8935,plain,
( multiply(X_510,X_50) != multiply(X_50,multiply(X_510,commutator(X_510,X_50)))
| multiply(X_50,multiply(X_510,commutator(X_510,X_50))) = multiply(X_510,X_50) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(X_510,X_50))),bind(Y0,$fot(multiply(X_50,multiply(X_510,commutator(X_510,X_50)))))]]) ).
cnf(refute_0_8936,plain,
multiply(X_50,multiply(X_510,commutator(X_510,X_50))) = multiply(X_510,X_50),
inference(resolve,[$cnf( $equal(multiply(X_510,X_50),multiply(X_50,multiply(X_510,commutator(X_510,X_50)))) )],[refute_0_8934,refute_0_8935]) ).
cnf(refute_0_8937,plain,
( multiply(X_50,multiply(X_510,commutator(X_510,X_50))) != multiply(X_510,X_50)
| multiply(inverse(X_51),multiply(X_510,commutator(X_510,X_50))) != multiply(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_510,commutator(X_510,X_50))))
| multiply(inverse(X_51),multiply(X_510,commutator(X_510,X_50))) = multiply(inverse(multiply(X_50,X_51)),multiply(X_510,X_50)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_51),multiply(X_510,commutator(X_510,X_50))),multiply(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_510,commutator(X_510,X_50))))) ),[1,1],$fot(multiply(X_510,X_50))]]) ).
cnf(refute_0_8938,plain,
( multiply(inverse(X_51),multiply(X_510,commutator(X_510,X_50))) != multiply(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_510,commutator(X_510,X_50))))
| multiply(inverse(X_51),multiply(X_510,commutator(X_510,X_50))) = multiply(inverse(multiply(X_50,X_51)),multiply(X_510,X_50)) ),
inference(resolve,[$cnf( $equal(multiply(X_50,multiply(X_510,commutator(X_510,X_50))),multiply(X_510,X_50)) )],[refute_0_8936,refute_0_8937]) ).
cnf(refute_0_8939,plain,
multiply(inverse(X_51),multiply(X_510,commutator(X_510,X_50))) = multiply(inverse(multiply(X_50,X_51)),multiply(X_510,X_50)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_51),multiply(X_510,commutator(X_510,X_50))),multiply(inverse(multiply(X_50,X_51)),multiply(X_50,multiply(X_510,commutator(X_510,X_50))))) )],[refute_0_8933,refute_0_8938]) ).
cnf(refute_0_8940,plain,
( multiply(inverse(X_51),multiply(X_510,commutator(X_510,X_50))) != multiply(inverse(multiply(X_50,X_51)),multiply(X_510,X_50))
| multiply(inverse(multiply(X_50,X_51)),multiply(X_510,X_50)) = multiply(inverse(X_51),multiply(X_510,commutator(X_510,X_50))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(inverse(X_51),multiply(X_510,commutator(X_510,X_50))))),bind(Y0,$fot(multiply(inverse(multiply(X_50,X_51)),multiply(X_510,X_50))))]]) ).
cnf(refute_0_8941,plain,
multiply(inverse(multiply(X_50,X_51)),multiply(X_510,X_50)) = multiply(inverse(X_51),multiply(X_510,commutator(X_510,X_50))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_51),multiply(X_510,commutator(X_510,X_50))),multiply(inverse(multiply(X_50,X_51)),multiply(X_510,X_50))) )],[refute_0_8939,refute_0_8940]) ).
cnf(refute_0_8942,plain,
multiply(inverse(multiply(X_665,X_664)),multiply(X_665,X_665)) = multiply(inverse(X_664),multiply(X_665,commutator(X_665,X_665))),
inference(subst,[],[refute_0_8941:[bind(X_50,$fot(X_665)),bind(X_51,$fot(X_664)),bind(X_510,$fot(X_665))]]) ).
cnf(refute_0_8943,plain,
multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))) = multiply(inverse(multiply(X_665,X_664)),multiply(X_665,X_665)),
inference(subst,[],[refute_0_4049:[bind(X_11,$fot(X_665)),bind(X_505,$fot(multiply(X_665,X_665))),bind(X_506,$fot(X_664))]]) ).
cnf(refute_0_8944,plain,
( multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))) != multiply(inverse(multiply(X_665,X_664)),multiply(X_665,X_665))
| multiply(inverse(multiply(X_665,X_664)),multiply(X_665,X_665)) != multiply(inverse(X_664),multiply(X_665,commutator(X_665,X_665)))
| multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))) = multiply(inverse(X_664),multiply(X_665,commutator(X_665,X_665))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))))),bind(Y0,$fot(multiply(inverse(multiply(X_665,X_664)),multiply(X_665,X_665)))),bind(Z0,$fot(multiply(inverse(X_664),multiply(X_665,commutator(X_665,X_665)))))]]) ).
cnf(refute_0_8945,plain,
( multiply(inverse(multiply(X_665,X_664)),multiply(X_665,X_665)) != multiply(inverse(X_664),multiply(X_665,commutator(X_665,X_665)))
| multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))) = multiply(inverse(X_664),multiply(X_665,commutator(X_665,X_665))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))),multiply(inverse(multiply(X_665,X_664)),multiply(X_665,X_665))) )],[refute_0_8943,refute_0_8944]) ).
cnf(refute_0_8946,plain,
multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))) = multiply(inverse(X_664),multiply(X_665,commutator(X_665,X_665))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_665,X_664)),multiply(X_665,X_665)),multiply(inverse(X_664),multiply(X_665,commutator(X_665,X_665)))) )],[refute_0_8942,refute_0_8945]) ).
cnf(refute_0_8947,plain,
( multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))) != multiply(inverse(X_664),multiply(X_665,commutator(X_665,X_665)))
| multiply(inverse(X_664),multiply(X_665,commutator(X_665,X_665))) != multiply(inverse(X_664),X_665)
| multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))) = multiply(inverse(X_664),X_665) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))))),bind(Y0,$fot(multiply(inverse(X_664),multiply(X_665,commutator(X_665,X_665))))),bind(Z0,$fot(multiply(inverse(X_664),X_665)))]]) ).
cnf(refute_0_8948,plain,
( multiply(inverse(X_664),multiply(X_665,commutator(X_665,X_665))) != multiply(inverse(X_664),X_665)
| multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))) = multiply(inverse(X_664),X_665) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))),multiply(inverse(X_664),multiply(X_665,commutator(X_665,X_665)))) )],[refute_0_8946,refute_0_8947]) ).
cnf(refute_0_8949,plain,
multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))) = multiply(inverse(X_664),X_665),
inference(resolve,[$cnf( $equal(multiply(inverse(X_664),multiply(X_665,commutator(X_665,X_665))),multiply(inverse(X_664),X_665)) )],[refute_0_8932,refute_0_8948]) ).
cnf(refute_0_8950,plain,
multiply(inverse(X_665),multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665)))) = multiply(inverse(X_665),multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665)))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_665),multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665)))))]]) ).
cnf(refute_0_8951,plain,
( multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))) != multiply(inverse(X_664),X_665)
| multiply(inverse(X_665),multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665)))) != multiply(inverse(X_665),multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))))
| multiply(inverse(X_665),multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665)))) = multiply(inverse(X_665),multiply(inverse(X_664),X_665)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_665),multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665)))),multiply(inverse(X_665),multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))))) ),[1,1],$fot(multiply(inverse(X_664),X_665))]]) ).
cnf(refute_0_8952,plain,
( multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))) != multiply(inverse(X_664),X_665)
| multiply(inverse(X_665),multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665)))) = multiply(inverse(X_665),multiply(inverse(X_664),X_665)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_665),multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665)))),multiply(inverse(X_665),multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))))) )],[refute_0_8950,refute_0_8951]) ).
cnf(refute_0_8953,plain,
multiply(inverse(X_665),multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665)))) = multiply(inverse(X_665),multiply(inverse(X_664),X_665)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))),multiply(inverse(X_664),X_665)) )],[refute_0_8949,refute_0_8952]) ).
cnf(refute_0_8954,plain,
( multiply(inverse(X_665),multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665)))) != multiply(inverse(X_665),multiply(inverse(X_664),X_665))
| multiply(inverse(X_665),multiply(inverse(X_664),X_665)) != multiply(inverse(multiply(X_664,X_665)),X_665)
| multiply(inverse(X_665),multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665)))) = multiply(inverse(multiply(X_664,X_665)),X_665) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(X_665),multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665)))))),bind(Y0,$fot(multiply(inverse(X_665),multiply(inverse(X_664),X_665)))),bind(Z0,$fot(multiply(inverse(multiply(X_664,X_665)),X_665)))]]) ).
cnf(refute_0_8955,plain,
( multiply(inverse(X_665),multiply(inverse(X_664),X_665)) != multiply(inverse(multiply(X_664,X_665)),X_665)
| multiply(inverse(X_665),multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665)))) = multiply(inverse(multiply(X_664,X_665)),X_665) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_665),multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665)))),multiply(inverse(X_665),multiply(inverse(X_664),X_665))) )],[refute_0_8953,refute_0_8954]) ).
cnf(refute_0_8956,plain,
multiply(inverse(X_665),multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665)))) = multiply(inverse(multiply(X_664,X_665)),X_665),
inference(resolve,[$cnf( $equal(multiply(inverse(X_665),multiply(inverse(X_664),X_665)),multiply(inverse(multiply(X_664,X_665)),X_665)) )],[refute_0_8919,refute_0_8955]) ).
cnf(refute_0_8957,plain,
multiply(commutator(X_664,X_665),multiply(inverse(X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665)))) = multiply(inverse(X_665),multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665)))),
inference(subst,[],[refute_0_5212:[bind(Z,$fot(multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665)))),bind(X_256,$fot(X_665)),bind(X_510,$fot(X_664))]]) ).
cnf(refute_0_8958,plain,
multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))) = multiply(commutator(X_664,X_665),multiply(inverse(X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665)))),
inference(subst,[],[refute_0_666:[bind(X_366,$fot(multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665)))),bind(X_367,$fot(X_665)),bind(X_65,$fot(X_665)),bind(X_66,$fot(X_664))]]) ).
cnf(refute_0_8959,plain,
( multiply(commutator(X_664,X_665),multiply(inverse(X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665)))) != multiply(inverse(X_665),multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))))
| multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))) != multiply(commutator(X_664,X_665),multiply(inverse(X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))))
| multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))) = multiply(inverse(X_665),multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665)))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))))),bind(Y0,$fot(multiply(commutator(X_664,X_665),multiply(inverse(X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665)))))),bind(Z0,$fot(multiply(inverse(X_665),multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))))))]]) ).
cnf(refute_0_8960,plain,
( multiply(commutator(X_664,X_665),multiply(inverse(X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665)))) != multiply(inverse(X_665),multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))))
| multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))) = multiply(inverse(X_665),multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))),multiply(commutator(X_664,X_665),multiply(inverse(X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))))) )],[refute_0_8958,refute_0_8959]) ).
cnf(refute_0_8961,plain,
multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))) = multiply(inverse(X_665),multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665)))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_664,X_665),multiply(inverse(X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665)))),multiply(inverse(X_665),multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))))) )],[refute_0_8957,refute_0_8960]) ).
cnf(refute_0_8962,plain,
( multiply(inverse(X_665),multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665)))) != multiply(inverse(multiply(X_664,X_665)),X_665)
| multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))) != multiply(inverse(X_665),multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))))
| multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))) = multiply(inverse(multiply(X_664,X_665)),X_665) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))))),bind(Y0,$fot(multiply(inverse(X_665),multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665)))))),bind(Z0,$fot(multiply(inverse(multiply(X_664,X_665)),X_665)))]]) ).
cnf(refute_0_8963,plain,
( multiply(inverse(X_665),multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665)))) != multiply(inverse(multiply(X_664,X_665)),X_665)
| multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))) = multiply(inverse(multiply(X_664,X_665)),X_665) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))),multiply(inverse(X_665),multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))))) )],[refute_0_8961,refute_0_8962]) ).
cnf(refute_0_8964,plain,
multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))) = multiply(inverse(multiply(X_664,X_665)),X_665),
inference(resolve,[$cnf( $equal(multiply(inverse(X_665),multiply(commutator(X_664,X_665),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665)))),multiply(inverse(multiply(X_664,X_665)),X_665)) )],[refute_0_8956,refute_0_8963]) ).
cnf(refute_0_8965,plain,
commutator(multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))),X_160) = commutator(multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))),X_160),
introduced(tautology,[refl,[$fot(commutator(multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))),X_160))]]) ).
cnf(refute_0_8966,plain,
( multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))) != multiply(inverse(multiply(X_664,X_665)),X_665)
| commutator(multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))),X_160) != commutator(multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))),X_160)
| commutator(multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))),X_160) = commutator(multiply(inverse(multiply(X_664,X_665)),X_665),X_160) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))),X_160),commutator(multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))),X_160)) ),[1,0],$fot(multiply(inverse(multiply(X_664,X_665)),X_665))]]) ).
cnf(refute_0_8967,plain,
( multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))) != multiply(inverse(multiply(X_664,X_665)),X_665)
| commutator(multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))),X_160) = commutator(multiply(inverse(multiply(X_664,X_665)),X_665),X_160) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))),X_160),commutator(multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))),X_160)) )],[refute_0_8965,refute_0_8966]) ).
cnf(refute_0_8968,plain,
commutator(multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))),X_160) = commutator(multiply(inverse(multiply(X_664,X_665)),X_665),X_160),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))),multiply(inverse(multiply(X_664,X_665)),X_665)) )],[refute_0_8964,refute_0_8967]) ).
cnf(refute_0_8969,plain,
( commutator(multiply(inverse(multiply(X_664,X_665)),X_665),X_160) != multiply(inverse(X_665),multiply(commutator(X_160,X_664),X_665))
| commutator(multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))),X_160) != commutator(multiply(inverse(multiply(X_664,X_665)),X_665),X_160)
| commutator(multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))),X_160) = multiply(inverse(X_665),multiply(commutator(X_160,X_664),X_665)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))),X_160))),bind(Y0,$fot(commutator(multiply(inverse(multiply(X_664,X_665)),X_665),X_160))),bind(Z0,$fot(multiply(inverse(X_665),multiply(commutator(X_160,X_664),X_665))))]]) ).
cnf(refute_0_8970,plain,
( commutator(multiply(inverse(multiply(X_664,X_665)),X_665),X_160) != multiply(inverse(X_665),multiply(commutator(X_160,X_664),X_665))
| commutator(multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))),X_160) = multiply(inverse(X_665),multiply(commutator(X_160,X_664),X_665)) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))),X_160),commutator(multiply(inverse(multiply(X_664,X_665)),X_665),X_160)) )],[refute_0_8968,refute_0_8969]) ).
cnf(refute_0_8971,plain,
commutator(multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))),X_160) = multiply(inverse(X_665),multiply(commutator(X_160,X_664),X_665)),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(multiply(X_664,X_665)),X_665),X_160),multiply(inverse(X_665),multiply(commutator(X_160,X_664),X_665))) )],[refute_0_8918,refute_0_8970]) ).
cnf(refute_0_8972,plain,
( commutator(multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))),X_160) != multiply(inverse(X_665),multiply(commutator(X_160,X_664),X_665))
| commutator(multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))),X_160) != commutator(multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160)
| multiply(inverse(X_665),multiply(commutator(X_160,X_664),X_665)) = commutator(multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))),X_160),commutator(multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160)) ),[0],$fot(multiply(inverse(X_665),multiply(commutator(X_160,X_664),X_665)))]]) ).
cnf(refute_0_8973,plain,
( commutator(multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))),X_160) != commutator(multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160)
| multiply(inverse(X_665),multiply(commutator(X_160,X_664),X_665)) = commutator(multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))),X_160),multiply(inverse(X_665),multiply(commutator(X_160,X_664),X_665))) )],[refute_0_8971,refute_0_8972]) ).
cnf(refute_0_8974,plain,
commutator(inverse(multiply(X_664,commutator(X_664,X_665))),X_160) = commutator(X_160,multiply(X_664,commutator(X_664,X_665))),
inference(subst,[],[refute_0_999:[bind(X_109,$fot(multiply(X_664,commutator(X_664,X_665)))),bind(X_110,$fot(X_160))]]) ).
cnf(refute_0_8975,plain,
multiply(commutator(X_664,X_665),X_664) = multiply(X_664,commutator(X_664,X_665)),
inference(subst,[],[refute_0_2195:[bind(X_102,$fot(X_665)),bind(X_58,$fot(X_664))]]) ).
cnf(refute_0_8976,plain,
commutator(X_664,multiply(X_665,commutator(X_665,X_664))) = commutator(X_664,X_665),
inference(subst,[],[refute_0_3849:[bind(X_109,$fot(X_665)),bind(X_617,$fot(X_664)),bind(X_618,$fot(X_665))]]) ).
cnf(refute_0_8977,plain,
commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)) = commutator(X_664,multiply(X_665,commutator(X_665,X_664))),
inference(subst,[],[refute_0_574:[bind(X_109,$fot(X_664)),bind(X_110,$fot(multiply(X_665,commutator(X_665,X_664))))]]) ).
cnf(refute_0_8978,plain,
( commutator(X_664,multiply(X_665,commutator(X_665,X_664))) != commutator(X_664,X_665)
| commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)) != commutator(X_664,multiply(X_665,commutator(X_665,X_664)))
| commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)) = commutator(X_664,X_665) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)))),bind(Y0,$fot(commutator(X_664,multiply(X_665,commutator(X_665,X_664))))),bind(Z0,$fot(commutator(X_664,X_665)))]]) ).
cnf(refute_0_8979,plain,
( commutator(X_664,multiply(X_665,commutator(X_665,X_664))) != commutator(X_664,X_665)
| commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)) = commutator(X_664,X_665) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)),commutator(X_664,multiply(X_665,commutator(X_665,X_664)))) )],[refute_0_8977,refute_0_8978]) ).
cnf(refute_0_8980,plain,
commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)) = commutator(X_664,X_665),
inference(resolve,[$cnf( $equal(commutator(X_664,multiply(X_665,commutator(X_665,X_664))),commutator(X_664,X_665)) )],[refute_0_8976,refute_0_8979]) ).
cnf(refute_0_8981,plain,
multiply(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)),X_664) = multiply(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)),X_664),
introduced(tautology,[refl,[$fot(multiply(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)),X_664))]]) ).
cnf(refute_0_8982,plain,
( multiply(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)),X_664) != multiply(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)),X_664)
| commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)) != commutator(X_664,X_665)
| multiply(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)),X_664) = multiply(commutator(X_664,X_665),X_664) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)),X_664),multiply(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)),X_664)) ),[1,0],$fot(commutator(X_664,X_665))]]) ).
cnf(refute_0_8983,plain,
( commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)) != commutator(X_664,X_665)
| multiply(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)),X_664) = multiply(commutator(X_664,X_665),X_664) ),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)),X_664),multiply(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)),X_664)) )],[refute_0_8981,refute_0_8982]) ).
cnf(refute_0_8984,plain,
multiply(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)),X_664) = multiply(commutator(X_664,X_665),X_664),
inference(resolve,[$cnf( $equal(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)),commutator(X_664,X_665)) )],[refute_0_8980,refute_0_8983]) ).
cnf(refute_0_8985,plain,
( multiply(commutator(X_664,X_665),X_664) != multiply(X_664,commutator(X_664,X_665))
| multiply(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)),X_664) != multiply(commutator(X_664,X_665),X_664)
| multiply(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)),X_664) = multiply(X_664,commutator(X_664,X_665)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)),X_664))),bind(Y0,$fot(multiply(commutator(X_664,X_665),X_664))),bind(Z0,$fot(multiply(X_664,commutator(X_664,X_665))))]]) ).
cnf(refute_0_8986,plain,
( multiply(commutator(X_664,X_665),X_664) != multiply(X_664,commutator(X_664,X_665))
| multiply(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)),X_664) = multiply(X_664,commutator(X_664,X_665)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)),X_664),multiply(commutator(X_664,X_665),X_664)) )],[refute_0_8984,refute_0_8985]) ).
cnf(refute_0_8987,plain,
multiply(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)),X_664) = multiply(X_664,commutator(X_664,X_665)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_664,X_665),X_664),multiply(X_664,commutator(X_664,X_665))) )],[refute_0_8975,refute_0_8986]) ).
cnf(refute_0_8988,plain,
inverse(multiply(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)),X_664)) = inverse(multiply(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)),X_664)),
introduced(tautology,[refl,[$fot(inverse(multiply(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)),X_664)))]]) ).
cnf(refute_0_8989,plain,
( multiply(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)),X_664) != multiply(X_664,commutator(X_664,X_665))
| inverse(multiply(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)),X_664)) != inverse(multiply(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)),X_664))
| inverse(multiply(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)),X_664)) = inverse(multiply(X_664,commutator(X_664,X_665))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)),X_664)),inverse(multiply(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)),X_664))) ),[1,0],$fot(multiply(X_664,commutator(X_664,X_665)))]]) ).
cnf(refute_0_8990,plain,
( multiply(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)),X_664) != multiply(X_664,commutator(X_664,X_665))
| inverse(multiply(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)),X_664)) = inverse(multiply(X_664,commutator(X_664,X_665))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)),X_664)),inverse(multiply(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)),X_664))) )],[refute_0_8988,refute_0_8989]) ).
cnf(refute_0_8991,plain,
inverse(multiply(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)),X_664)) = inverse(multiply(X_664,commutator(X_664,X_665))),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)),X_664),multiply(X_664,commutator(X_664,X_665))) )],[refute_0_8987,refute_0_8990]) ).
cnf(refute_0_8992,plain,
multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))) = inverse(multiply(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)),X_664)),
inference(subst,[],[refute_0_331:[bind(X_10,$fot(X_664)),bind(X_65,$fot(inverse(X_664))),bind(X_66,$fot(multiply(X_665,commutator(X_665,X_664))))]]) ).
cnf(refute_0_8993,plain,
( multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))) != inverse(multiply(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)),X_664))
| inverse(multiply(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)),X_664)) != inverse(multiply(X_664,commutator(X_664,X_665)))
| multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))) = inverse(multiply(X_664,commutator(X_664,X_665))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))))),bind(Y0,$fot(inverse(multiply(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)),X_664)))),bind(Z0,$fot(inverse(multiply(X_664,commutator(X_664,X_665)))))]]) ).
cnf(refute_0_8994,plain,
( inverse(multiply(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)),X_664)) != inverse(multiply(X_664,commutator(X_664,X_665)))
| multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))) = inverse(multiply(X_664,commutator(X_664,X_665))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),inverse(multiply(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)),X_664))) )],[refute_0_8992,refute_0_8993]) ).
cnf(refute_0_8995,plain,
multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))) = inverse(multiply(X_664,commutator(X_664,X_665))),
inference(resolve,[$cnf( $equal(inverse(multiply(commutator(multiply(X_665,commutator(X_665,X_664)),inverse(X_664)),X_664)),inverse(multiply(X_664,commutator(X_664,X_665)))) )],[refute_0_8991,refute_0_8994]) ).
cnf(refute_0_8996,plain,
commutator(multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160) = commutator(multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160),
introduced(tautology,[refl,[$fot(commutator(multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160))]]) ).
cnf(refute_0_8997,plain,
( multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))) != inverse(multiply(X_664,commutator(X_664,X_665)))
| commutator(multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160) != commutator(multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160)
| commutator(multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160) = commutator(inverse(multiply(X_664,commutator(X_664,X_665))),X_160) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160),commutator(multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160)) ),[1,0],$fot(inverse(multiply(X_664,commutator(X_664,X_665))))]]) ).
cnf(refute_0_8998,plain,
( multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))) != inverse(multiply(X_664,commutator(X_664,X_665)))
| commutator(multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160) = commutator(inverse(multiply(X_664,commutator(X_664,X_665))),X_160) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160),commutator(multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160)) )],[refute_0_8996,refute_0_8997]) ).
cnf(refute_0_8999,plain,
commutator(multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160) = commutator(inverse(multiply(X_664,commutator(X_664,X_665))),X_160),
inference(resolve,[$cnf( $equal(multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),inverse(multiply(X_664,commutator(X_664,X_665)))) )],[refute_0_8995,refute_0_8998]) ).
cnf(refute_0_9000,plain,
( commutator(multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160) != commutator(inverse(multiply(X_664,commutator(X_664,X_665))),X_160)
| commutator(inverse(multiply(X_664,commutator(X_664,X_665))),X_160) != commutator(X_160,multiply(X_664,commutator(X_664,X_665)))
| commutator(multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160) = commutator(X_160,multiply(X_664,commutator(X_664,X_665))) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(commutator(multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160))),bind(Y0,$fot(commutator(inverse(multiply(X_664,commutator(X_664,X_665))),X_160))),bind(Z0,$fot(commutator(X_160,multiply(X_664,commutator(X_664,X_665)))))]]) ).
cnf(refute_0_9001,plain,
( commutator(inverse(multiply(X_664,commutator(X_664,X_665))),X_160) != commutator(X_160,multiply(X_664,commutator(X_664,X_665)))
| commutator(multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160) = commutator(X_160,multiply(X_664,commutator(X_664,X_665))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160),commutator(inverse(multiply(X_664,commutator(X_664,X_665))),X_160)) )],[refute_0_8999,refute_0_9000]) ).
cnf(refute_0_9002,plain,
commutator(multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160) = commutator(X_160,multiply(X_664,commutator(X_664,X_665))),
inference(resolve,[$cnf( $equal(commutator(inverse(multiply(X_664,commutator(X_664,X_665))),X_160),commutator(X_160,multiply(X_664,commutator(X_664,X_665)))) )],[refute_0_8974,refute_0_9001]) ).
cnf(refute_0_9003,plain,
( multiply(inverse(X_665),multiply(commutator(X_160,X_664),X_665)) != commutator(multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160)
| commutator(multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160) != commutator(X_160,multiply(X_664,commutator(X_664,X_665)))
| multiply(inverse(X_665),multiply(commutator(X_160,X_664),X_665)) = commutator(X_160,multiply(X_664,commutator(X_664,X_665))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_665),multiply(commutator(X_160,X_664),X_665)),commutator(X_160,multiply(X_664,commutator(X_664,X_665)))) ),[0],$fot(commutator(multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160))]]) ).
cnf(refute_0_9004,plain,
( multiply(inverse(X_665),multiply(commutator(X_160,X_664),X_665)) != commutator(multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160)
| multiply(inverse(X_665),multiply(commutator(X_160,X_664),X_665)) = commutator(X_160,multiply(X_664,commutator(X_664,X_665))) ),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160),commutator(X_160,multiply(X_664,commutator(X_664,X_665)))) )],[refute_0_9002,refute_0_9003]) ).
cnf(refute_0_9005,plain,
( commutator(multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))),X_160) != commutator(multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160)
| multiply(inverse(X_665),multiply(commutator(X_160,X_664),X_665)) = commutator(X_160,multiply(X_664,commutator(X_664,X_665))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_665),multiply(commutator(X_160,X_664),X_665)),commutator(multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160)) )],[refute_0_8973,refute_0_9004]) ).
cnf(refute_0_9006,plain,
multiply(inverse(X_665),multiply(commutator(X_160,X_664),X_665)) = commutator(X_160,multiply(X_664,commutator(X_664,X_665))),
inference(resolve,[$cnf( $equal(commutator(multiply(inverse(multiply(X_665,commutator(X_665,X_664))),multiply(inverse(multiply(X_664,X_665)),multiply(X_665,X_665))),X_160),commutator(multiply(inverse(X_664),commutator(inverse(X_664),multiply(X_665,commutator(X_665,X_664)))),X_160)) )],[refute_0_8651,refute_0_9005]) ).
cnf(refute_0_9007,plain,
( multiply(inverse(X_665),multiply(commutator(X_160,X_664),X_665)) != commutator(X_160,multiply(X_664,commutator(X_664,X_665)))
| commutator(X_160,multiply(X_664,commutator(X_664,X_665))) = multiply(inverse(X_665),multiply(commutator(X_160,X_664),X_665)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(inverse(X_665),multiply(commutator(X_160,X_664),X_665)))),bind(Y0,$fot(commutator(X_160,multiply(X_664,commutator(X_664,X_665)))))]]) ).
cnf(refute_0_9008,plain,
commutator(X_160,multiply(X_664,commutator(X_664,X_665))) = multiply(inverse(X_665),multiply(commutator(X_160,X_664),X_665)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_665),multiply(commutator(X_160,X_664),X_665)),commutator(X_160,multiply(X_664,commutator(X_664,X_665)))) )],[refute_0_9006,refute_0_9007]) ).
cnf(refute_0_9009,plain,
commutator(X_682,multiply(multiply(X_683,X_86),commutator(multiply(X_683,X_86),X_683))) = multiply(inverse(X_683),multiply(commutator(X_682,multiply(X_683,X_86)),X_683)),
inference(subst,[],[refute_0_9008:[bind(X_160,$fot(X_682)),bind(X_664,$fot(multiply(X_683,X_86))),bind(X_665,$fot(X_683))]]) ).
cnf(refute_0_9010,plain,
( commutator(X_160,multiply(X_128,commutator(X_128,X_161))) != multiply(inverse(multiply(X_128,multiply(X_161,multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))))),multiply(X_161,X_160))
| multiply(inverse(multiply(X_128,multiply(X_161,multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))))),multiply(X_161,X_160)) = commutator(X_160,multiply(X_128,commutator(X_128,X_161))) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_160,multiply(X_128,commutator(X_128,X_161))))),bind(Y0,$fot(multiply(inverse(multiply(X_128,multiply(X_161,multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))))),multiply(X_161,X_160))))]]) ).
cnf(refute_0_9011,plain,
multiply(inverse(multiply(X_128,multiply(X_161,multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))))),multiply(X_161,X_160)) = commutator(X_160,multiply(X_128,commutator(X_128,X_161))),
inference(resolve,[$cnf( $equal(commutator(X_160,multiply(X_128,commutator(X_128,X_161))),multiply(inverse(multiply(X_128,multiply(X_161,multiply(X_160,multiply(inverse(multiply(X_128,X_161)),X_161))))),multiply(X_161,X_160))) )],[refute_0_5606,refute_0_9010]) ).
cnf(refute_0_9012,plain,
multiply(inverse(multiply(multiply(X_683,X_86),multiply(X_683,multiply(X_682,multiply(inverse(multiply(multiply(X_683,X_86),X_683)),X_683))))),multiply(X_683,X_682)) = commutator(X_682,multiply(multiply(X_683,X_86),commutator(multiply(X_683,X_86),X_683))),
inference(subst,[],[refute_0_9011:[bind(X_128,$fot(multiply(X_683,X_86))),bind(X_160,$fot(X_682)),bind(X_161,$fot(X_683))]]) ).
cnf(refute_0_9013,plain,
( multiply(inverse(multiply(multiply(X_683,X_86),multiply(X_683,multiply(X_682,multiply(inverse(multiply(multiply(X_683,X_86),X_683)),X_683))))),multiply(X_683,X_682)) != commutator(X_682,multiply(multiply(X_683,X_86),commutator(multiply(X_683,X_86),X_683)))
| commutator(X_682,multiply(multiply(X_683,X_86),commutator(multiply(X_683,X_86),X_683))) != multiply(inverse(X_683),multiply(commutator(X_682,multiply(X_683,X_86)),X_683))
| multiply(inverse(multiply(multiply(X_683,X_86),multiply(X_683,multiply(X_682,multiply(inverse(multiply(multiply(X_683,X_86),X_683)),X_683))))),multiply(X_683,X_682)) = multiply(inverse(X_683),multiply(commutator(X_682,multiply(X_683,X_86)),X_683)) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(multiply(X_683,X_86),multiply(X_683,multiply(X_682,multiply(inverse(multiply(multiply(X_683,X_86),X_683)),X_683))))),multiply(X_683,X_682)))),bind(Y0,$fot(commutator(X_682,multiply(multiply(X_683,X_86),commutator(multiply(X_683,X_86),X_683))))),bind(Z0,$fot(multiply(inverse(X_683),multiply(commutator(X_682,multiply(X_683,X_86)),X_683))))]]) ).
cnf(refute_0_9014,plain,
( commutator(X_682,multiply(multiply(X_683,X_86),commutator(multiply(X_683,X_86),X_683))) != multiply(inverse(X_683),multiply(commutator(X_682,multiply(X_683,X_86)),X_683))
| multiply(inverse(multiply(multiply(X_683,X_86),multiply(X_683,multiply(X_682,multiply(inverse(multiply(multiply(X_683,X_86),X_683)),X_683))))),multiply(X_683,X_682)) = multiply(inverse(X_683),multiply(commutator(X_682,multiply(X_683,X_86)),X_683)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_683,X_86),multiply(X_683,multiply(X_682,multiply(inverse(multiply(multiply(X_683,X_86),X_683)),X_683))))),multiply(X_683,X_682)),commutator(X_682,multiply(multiply(X_683,X_86),commutator(multiply(X_683,X_86),X_683)))) )],[refute_0_9012,refute_0_9013]) ).
cnf(refute_0_9015,plain,
multiply(inverse(multiply(multiply(X_683,X_86),multiply(X_683,multiply(X_682,multiply(inverse(multiply(multiply(X_683,X_86),X_683)),X_683))))),multiply(X_683,X_682)) = multiply(inverse(X_683),multiply(commutator(X_682,multiply(X_683,X_86)),X_683)),
inference(resolve,[$cnf( $equal(commutator(X_682,multiply(multiply(X_683,X_86),commutator(multiply(X_683,X_86),X_683))),multiply(inverse(X_683),multiply(commutator(X_682,multiply(X_683,X_86)),X_683))) )],[refute_0_9009,refute_0_9014]) ).
cnf(refute_0_9016,plain,
( multiply(inverse(multiply(multiply(X_683,X_86),multiply(X_683,multiply(X_682,multiply(inverse(multiply(multiply(X_683,X_86),X_683)),X_683))))),multiply(X_683,X_682)) != multiply(inverse(X_683),multiply(commutator(X_682,multiply(X_683,X_86)),X_683))
| commutator(X_682,multiply(X_86,X_683)) != multiply(inverse(multiply(multiply(X_683,X_86),multiply(X_683,multiply(X_682,multiply(inverse(multiply(multiply(X_683,X_86),X_683)),X_683))))),multiply(X_683,X_682))
| commutator(X_682,multiply(X_86,X_683)) = multiply(inverse(X_683),multiply(commutator(X_682,multiply(X_683,X_86)),X_683)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_682,multiply(X_86,X_683)),multiply(inverse(multiply(multiply(X_683,X_86),multiply(X_683,multiply(X_682,multiply(inverse(multiply(multiply(X_683,X_86),X_683)),X_683))))),multiply(X_683,X_682))) ),[1],$fot(multiply(inverse(X_683),multiply(commutator(X_682,multiply(X_683,X_86)),X_683)))]]) ).
cnf(refute_0_9017,plain,
( commutator(X_682,multiply(X_86,X_683)) != multiply(inverse(multiply(multiply(X_683,X_86),multiply(X_683,multiply(X_682,multiply(inverse(multiply(multiply(X_683,X_86),X_683)),X_683))))),multiply(X_683,X_682))
| commutator(X_682,multiply(X_86,X_683)) = multiply(inverse(X_683),multiply(commutator(X_682,multiply(X_683,X_86)),X_683)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_683,X_86),multiply(X_683,multiply(X_682,multiply(inverse(multiply(multiply(X_683,X_86),X_683)),X_683))))),multiply(X_683,X_682)),multiply(inverse(X_683),multiply(commutator(X_682,multiply(X_683,X_86)),X_683))) )],[refute_0_9015,refute_0_9016]) ).
cnf(refute_0_9018,plain,
( commutator(X_682,multiply(multiply(X_683,X_86),commutator(X_86,X_683))) != multiply(inverse(multiply(multiply(X_683,X_86),multiply(X_683,multiply(X_682,multiply(inverse(multiply(multiply(X_683,X_86),X_683)),X_683))))),multiply(X_683,X_682))
| commutator(X_682,multiply(X_86,X_683)) = multiply(inverse(X_683),multiply(commutator(X_682,multiply(X_683,X_86)),X_683)) ),
inference(resolve,[$cnf( $equal(commutator(X_682,multiply(X_86,X_683)),multiply(inverse(multiply(multiply(X_683,X_86),multiply(X_683,multiply(X_682,multiply(inverse(multiply(multiply(X_683,X_86),X_683)),X_683))))),multiply(X_683,X_682))) )],[refute_0_5622,refute_0_9017]) ).
cnf(refute_0_9019,plain,
commutator(X_682,multiply(X_86,X_683)) = multiply(inverse(X_683),multiply(commutator(X_682,multiply(X_683,X_86)),X_683)),
inference(resolve,[$cnf( $equal(commutator(X_682,multiply(multiply(X_683,X_86),commutator(X_86,X_683))),multiply(inverse(multiply(multiply(X_683,X_86),multiply(X_683,multiply(X_682,multiply(inverse(multiply(multiply(X_683,X_86),X_683)),X_683))))),multiply(X_683,X_682))) )],[refute_0_5611,refute_0_9018]) ).
cnf(refute_0_9020,plain,
( commutator(X_682,multiply(X_86,X_683)) != multiply(inverse(X_683),multiply(commutator(X_682,multiply(X_683,X_86)),X_683))
| multiply(inverse(X_683),multiply(commutator(X_682,multiply(X_683,X_86)),X_683)) = commutator(X_682,multiply(X_86,X_683)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(commutator(X_682,multiply(X_86,X_683)))),bind(Y0,$fot(multiply(inverse(X_683),multiply(commutator(X_682,multiply(X_683,X_86)),X_683))))]]) ).
cnf(refute_0_9021,plain,
multiply(inverse(X_683),multiply(commutator(X_682,multiply(X_683,X_86)),X_683)) = commutator(X_682,multiply(X_86,X_683)),
inference(resolve,[$cnf( $equal(commutator(X_682,multiply(X_86,X_683)),multiply(inverse(X_683),multiply(commutator(X_682,multiply(X_683,X_86)),X_683))) )],[refute_0_9019,refute_0_9020]) ).
cnf(refute_0_9022,plain,
multiply(inverse(X_340),multiply(commutator(Y,multiply(X_340,X_338)),X_340)) = commutator(Y,multiply(X_338,X_340)),
inference(subst,[],[refute_0_9021:[bind(X_682,$fot(Y)),bind(X_683,$fot(X_340)),bind(X_86,$fot(X_338))]]) ).
cnf(refute_0_9023,plain,
multiply(commutator(X_338,Y),multiply(inverse(X_340),multiply(commutator(Y,multiply(X_340,X_338)),X_340))) = multiply(commutator(X_338,Y),multiply(inverse(X_340),multiply(commutator(Y,multiply(X_340,X_338)),X_340))),
introduced(tautology,[refl,[$fot(multiply(commutator(X_338,Y),multiply(inverse(X_340),multiply(commutator(Y,multiply(X_340,X_338)),X_340))))]]) ).
cnf(refute_0_9024,plain,
( multiply(commutator(X_338,Y),multiply(inverse(X_340),multiply(commutator(Y,multiply(X_340,X_338)),X_340))) != multiply(commutator(X_338,Y),multiply(inverse(X_340),multiply(commutator(Y,multiply(X_340,X_338)),X_340)))
| multiply(inverse(X_340),multiply(commutator(Y,multiply(X_340,X_338)),X_340)) != commutator(Y,multiply(X_338,X_340))
| multiply(commutator(X_338,Y),multiply(inverse(X_340),multiply(commutator(Y,multiply(X_340,X_338)),X_340))) = multiply(commutator(X_338,Y),commutator(Y,multiply(X_338,X_340))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_338,Y),multiply(inverse(X_340),multiply(commutator(Y,multiply(X_340,X_338)),X_340))),multiply(commutator(X_338,Y),multiply(inverse(X_340),multiply(commutator(Y,multiply(X_340,X_338)),X_340)))) ),[1,1],$fot(commutator(Y,multiply(X_338,X_340)))]]) ).
cnf(refute_0_9025,plain,
( multiply(inverse(X_340),multiply(commutator(Y,multiply(X_340,X_338)),X_340)) != commutator(Y,multiply(X_338,X_340))
| multiply(commutator(X_338,Y),multiply(inverse(X_340),multiply(commutator(Y,multiply(X_340,X_338)),X_340))) = multiply(commutator(X_338,Y),commutator(Y,multiply(X_338,X_340))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_338,Y),multiply(inverse(X_340),multiply(commutator(Y,multiply(X_340,X_338)),X_340))),multiply(commutator(X_338,Y),multiply(inverse(X_340),multiply(commutator(Y,multiply(X_340,X_338)),X_340)))) )],[refute_0_9023,refute_0_9024]) ).
cnf(refute_0_9026,plain,
multiply(commutator(X_338,Y),multiply(inverse(X_340),multiply(commutator(Y,multiply(X_340,X_338)),X_340))) = multiply(commutator(X_338,Y),commutator(Y,multiply(X_338,X_340))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_340),multiply(commutator(Y,multiply(X_340,X_338)),X_340)),commutator(Y,multiply(X_338,X_340))) )],[refute_0_9022,refute_0_9025]) ).
cnf(refute_0_9027,plain,
( multiply(commutator(X_338,Y),multiply(inverse(X_340),multiply(commutator(Y,multiply(X_340,X_338)),X_340))) != multiply(commutator(X_338,Y),commutator(Y,multiply(X_338,X_340)))
| multiply(commutator(X_338,Y),commutator(Y,multiply(X_338,X_340))) != commutator(multiply(Y,commutator(Y,X_338)),X_340)
| multiply(commutator(X_338,Y),multiply(inverse(X_340),multiply(commutator(Y,multiply(X_340,X_338)),X_340))) = commutator(multiply(Y,commutator(Y,X_338)),X_340) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(commutator(X_338,Y),multiply(inverse(X_340),multiply(commutator(Y,multiply(X_340,X_338)),X_340))))),bind(Y0,$fot(multiply(commutator(X_338,Y),commutator(Y,multiply(X_338,X_340))))),bind(Z0,$fot(commutator(multiply(Y,commutator(Y,X_338)),X_340)))]]) ).
cnf(refute_0_9028,plain,
( multiply(commutator(X_338,Y),commutator(Y,multiply(X_338,X_340))) != commutator(multiply(Y,commutator(Y,X_338)),X_340)
| multiply(commutator(X_338,Y),multiply(inverse(X_340),multiply(commutator(Y,multiply(X_340,X_338)),X_340))) = commutator(multiply(Y,commutator(Y,X_338)),X_340) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_338,Y),multiply(inverse(X_340),multiply(commutator(Y,multiply(X_340,X_338)),X_340))),multiply(commutator(X_338,Y),commutator(Y,multiply(X_338,X_340)))) )],[refute_0_9026,refute_0_9027]) ).
cnf(refute_0_9029,plain,
multiply(commutator(X_338,Y),multiply(inverse(X_340),multiply(commutator(Y,multiply(X_340,X_338)),X_340))) = commutator(multiply(Y,commutator(Y,X_338)),X_340),
inference(resolve,[$cnf( $equal(multiply(commutator(X_338,Y),commutator(Y,multiply(X_338,X_340))),commutator(multiply(Y,commutator(Y,X_338)),X_340)) )],[refute_0_5579,refute_0_9028]) ).
cnf(refute_0_9030,plain,
( multiply(commutator(X_338,Y),multiply(inverse(X_340),multiply(commutator(Y,multiply(X_340,X_338)),X_340))) != commutator(multiply(Y,commutator(Y,X_338)),X_340)
| commutator(Y,multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y))))) != multiply(commutator(X_338,Y),multiply(inverse(X_340),multiply(commutator(Y,multiply(X_340,X_338)),X_340)))
| commutator(Y,multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y))))) = commutator(multiply(Y,commutator(Y,X_338)),X_340) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(Y,multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y))))),multiply(commutator(X_338,Y),multiply(inverse(X_340),multiply(commutator(Y,multiply(X_340,X_338)),X_340)))) ),[1],$fot(commutator(multiply(Y,commutator(Y,X_338)),X_340))]]) ).
cnf(refute_0_9031,plain,
( commutator(Y,multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y))))) != multiply(commutator(X_338,Y),multiply(inverse(X_340),multiply(commutator(Y,multiply(X_340,X_338)),X_340)))
| commutator(Y,multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y))))) = commutator(multiply(Y,commutator(Y,X_338)),X_340) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_338,Y),multiply(inverse(X_340),multiply(commutator(Y,multiply(X_340,X_338)),X_340))),commutator(multiply(Y,commutator(Y,X_338)),X_340)) )],[refute_0_9029,refute_0_9030]) ).
cnf(refute_0_9032,plain,
commutator(Y,multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y))))) = commutator(multiply(Y,commutator(Y,X_338)),X_340),
inference(resolve,[$cnf( $equal(commutator(Y,multiply(X_340,multiply(X_338,inverse(multiply(X_338,Y))))),multiply(commutator(X_338,Y),multiply(inverse(X_340),multiply(commutator(Y,multiply(X_340,X_338)),X_340)))) )],[refute_0_5420,refute_0_9031]) ).
cnf(refute_0_9033,plain,
commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))) = commutator(multiply(X_571,commutator(X_571,X_10)),X_257),
inference(subst,[],[refute_0_9032:[bind(Y,$fot(X_571)),bind(X_338,$fot(X_10)),bind(X_340,$fot(X_257))]]) ).
cnf(refute_0_9034,plain,
multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))) = multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))),
introduced(tautology,[refl,[$fot(multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))))]]) ).
cnf(refute_0_9035,plain,
( multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))) != multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))))
| commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))) != commutator(multiply(X_571,commutator(X_571,X_10)),X_257)
| multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))) = multiply(X_569,commutator(multiply(X_571,commutator(X_571,X_10)),X_257)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))),multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))))) ),[1,1],$fot(commutator(multiply(X_571,commutator(X_571,X_10)),X_257))]]) ).
cnf(refute_0_9036,plain,
( commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))) != commutator(multiply(X_571,commutator(X_571,X_10)),X_257)
| multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))) = multiply(X_569,commutator(multiply(X_571,commutator(X_571,X_10)),X_257)) ),
inference(resolve,[$cnf( $equal(multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))),multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))))) )],[refute_0_9034,refute_0_9035]) ).
cnf(refute_0_9037,plain,
multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))) = multiply(X_569,commutator(multiply(X_571,commutator(X_571,X_10)),X_257)),
inference(resolve,[$cnf( $equal(commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))),commutator(multiply(X_571,commutator(X_571,X_10)),X_257)) )],[refute_0_9033,refute_0_9036]) ).
cnf(refute_0_9038,plain,
multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))))) = multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))))),
introduced(tautology,[refl,[$fot(multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))))))]]) ).
cnf(refute_0_9039,plain,
( multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))) != multiply(X_569,commutator(multiply(X_571,commutator(X_571,X_10)),X_257))
| multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))))) != multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))))
| multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))))) = multiply(X_571,multiply(X_569,commutator(multiply(X_571,commutator(X_571,X_10)),X_257))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))))),multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))))) ),[1,1],$fot(multiply(X_569,commutator(multiply(X_571,commutator(X_571,X_10)),X_257)))]]) ).
cnf(refute_0_9040,plain,
( multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))) != multiply(X_569,commutator(multiply(X_571,commutator(X_571,X_10)),X_257))
| multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))))) = multiply(X_571,multiply(X_569,commutator(multiply(X_571,commutator(X_571,X_10)),X_257))) ),
inference(resolve,[$cnf( $equal(multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))))),multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))))) )],[refute_0_9038,refute_0_9039]) ).
cnf(refute_0_9041,plain,
multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))))) = multiply(X_571,multiply(X_569,commutator(multiply(X_571,commutator(X_571,X_10)),X_257))),
inference(resolve,[$cnf( $equal(multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))),multiply(X_569,commutator(multiply(X_571,commutator(X_571,X_10)),X_257))) )],[refute_0_9037,refute_0_9040]) ).
cnf(refute_0_9042,plain,
inverse(multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))))) = inverse(multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))))))]]) ).
cnf(refute_0_9043,plain,
( multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))))) != multiply(X_571,multiply(X_569,commutator(multiply(X_571,commutator(X_571,X_10)),X_257)))
| inverse(multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))))) != inverse(multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))))))
| inverse(multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))))) = inverse(multiply(X_571,multiply(X_569,commutator(multiply(X_571,commutator(X_571,X_10)),X_257)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))))),inverse(multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))))))) ),[1,0],$fot(multiply(X_571,multiply(X_569,commutator(multiply(X_571,commutator(X_571,X_10)),X_257))))]]) ).
cnf(refute_0_9044,plain,
( multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))))) != multiply(X_571,multiply(X_569,commutator(multiply(X_571,commutator(X_571,X_10)),X_257)))
| inverse(multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))))) = inverse(multiply(X_571,multiply(X_569,commutator(multiply(X_571,commutator(X_571,X_10)),X_257)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))))),inverse(multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))))))) )],[refute_0_9042,refute_0_9043]) ).
cnf(refute_0_9045,plain,
inverse(multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))))) = inverse(multiply(X_571,multiply(X_569,commutator(multiply(X_571,commutator(X_571,X_10)),X_257)))),
inference(resolve,[$cnf( $equal(multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571))))))),multiply(X_571,multiply(X_569,commutator(multiply(X_571,commutator(X_571,X_10)),X_257)))) )],[refute_0_9041,refute_0_9044]) ).
cnf(refute_0_9046,plain,
( inverse(multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))))) != inverse(multiply(X_571,multiply(X_569,commutator(X_571,X_257))))
| inverse(multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))))) != inverse(multiply(X_571,multiply(X_569,commutator(multiply(X_571,commutator(X_571,X_10)),X_257))))
| inverse(multiply(X_571,multiply(X_569,commutator(multiply(X_571,commutator(X_571,X_10)),X_257)))) = inverse(multiply(X_571,multiply(X_569,commutator(X_571,X_257)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))))),inverse(multiply(X_571,multiply(X_569,commutator(X_571,X_257))))) ),[0],$fot(inverse(multiply(X_571,multiply(X_569,commutator(multiply(X_571,commutator(X_571,X_10)),X_257)))))]]) ).
cnf(refute_0_9047,plain,
( inverse(multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))))) != inverse(multiply(X_571,multiply(X_569,commutator(X_571,X_257))))
| inverse(multiply(X_571,multiply(X_569,commutator(multiply(X_571,commutator(X_571,X_10)),X_257)))) = inverse(multiply(X_571,multiply(X_569,commutator(X_571,X_257)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))))),inverse(multiply(X_571,multiply(X_569,commutator(multiply(X_571,commutator(X_571,X_10)),X_257))))) )],[refute_0_9045,refute_0_9046]) ).
cnf(refute_0_9048,plain,
inverse(multiply(X_571,multiply(X_569,commutator(multiply(X_571,commutator(X_571,X_10)),X_257)))) = inverse(multiply(X_571,multiply(X_569,commutator(X_571,X_257)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_571,multiply(X_569,commutator(X_571,multiply(X_257,multiply(X_10,inverse(multiply(X_10,X_571)))))))),inverse(multiply(X_571,multiply(X_569,commutator(X_571,X_257))))) )],[refute_0_5385,refute_0_9047]) ).
cnf(refute_0_9049,plain,
inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))) = inverse(multiply(X_470,multiply(X_471,commutator(X_470,X_471)))),
inference(subst,[],[refute_0_9048:[bind(X_10,$fot(X_27)),bind(X_257,$fot(X_471)),bind(X_569,$fot(X_471)),bind(X_571,$fot(X_470))]]) ).
cnf(refute_0_9050,plain,
multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) = multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))]]) ).
cnf(refute_0_9051,plain,
( multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) != multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))
| inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))) != inverse(multiply(X_470,multiply(X_471,commutator(X_470,X_471))))
| multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) = multiply(inverse(multiply(X_470,multiply(X_471,commutator(X_470,X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))),multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) ),[1,0],$fot(inverse(multiply(X_470,multiply(X_471,commutator(X_470,X_471)))))]]) ).
cnf(refute_0_9052,plain,
( inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))) != inverse(multiply(X_470,multiply(X_471,commutator(X_470,X_471))))
| multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) = multiply(inverse(multiply(X_470,multiply(X_471,commutator(X_470,X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))),multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) )],[refute_0_9050,refute_0_9051]) ).
cnf(refute_0_9053,plain,
multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) = multiply(inverse(multiply(X_470,multiply(X_471,commutator(X_470,X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),inverse(multiply(X_470,multiply(X_471,commutator(X_470,X_471))))) )],[refute_0_9049,refute_0_9052]) ).
cnf(refute_0_9054,plain,
( multiply(inverse(multiply(X_470,multiply(X_471,commutator(X_470,X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) != inverse(X_27)
| multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) != multiply(inverse(multiply(X_470,multiply(X_471,commutator(X_470,X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))
| multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) = inverse(X_27) ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))),bind(Y0,$fot(multiply(inverse(multiply(X_470,multiply(X_471,commutator(X_470,X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))),bind(Z0,$fot(inverse(X_27)))]]) ).
cnf(refute_0_9055,plain,
( multiply(inverse(multiply(X_470,multiply(X_471,commutator(X_470,X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) != inverse(X_27)
| multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) = inverse(X_27) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))),multiply(inverse(multiply(X_470,multiply(X_471,commutator(X_470,X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) )],[refute_0_9053,refute_0_9054]) ).
cnf(refute_0_9056,plain,
multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) = inverse(X_27),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_470,multiply(X_471,commutator(X_470,X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))),inverse(X_27)) )],[refute_0_5300,refute_0_9055]) ).
cnf(refute_0_9057,plain,
multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) = multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))),
introduced(tautology,[refl,[$fot(multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))))]]) ).
cnf(refute_0_9058,plain,
( multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) != multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))
| multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) != inverse(X_27)
| multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) = multiply(X_27,inverse(X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))),multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))) ),[1,1],$fot(inverse(X_27))]]) ).
cnf(refute_0_9059,plain,
( multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))) != inverse(X_27)
| multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) = multiply(X_27,inverse(X_27)) ),
inference(resolve,[$cnf( $equal(multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))),multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))) )],[refute_0_9057,refute_0_9058]) ).
cnf(refute_0_9060,plain,
multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) = multiply(X_27,inverse(X_27)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))),inverse(X_27)) )],[refute_0_9056,refute_0_9059]) ).
cnf(refute_0_9061,plain,
( multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) != multiply(X_27,inverse(X_27))
| multiply(X_27,inverse(X_27)) != identity
| multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) = identity ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))))),bind(Y0,$fot(multiply(X_27,inverse(X_27)))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_9062,plain,
( multiply(X_27,inverse(X_27)) != identity
| multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) = identity ),
inference(resolve,[$cnf( $equal(multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))),multiply(X_27,inverse(X_27))) )],[refute_0_9060,refute_0_9061]) ).
cnf(refute_0_9063,plain,
multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) = identity,
inference(resolve,[$cnf( $equal(multiply(X_27,inverse(X_27)),identity) )],[refute_0_4740,refute_0_9062]) ).
cnf(refute_0_9064,plain,
( multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))) != identity
| commutator(X_471,commutator(X_470,X_27)) != multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))
| commutator(X_471,commutator(X_470,X_27)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_471,commutator(X_470,X_27)),multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))) ),[1],$fot(identity)]]) ).
cnf(refute_0_9065,plain,
( commutator(X_471,commutator(X_470,X_27)) != multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))
| commutator(X_471,commutator(X_470,X_27)) = identity ),
inference(resolve,[$cnf( $equal(multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470))))))),identity) )],[refute_0_9063,refute_0_9064]) ).
cnf(refute_0_9066,plain,
commutator(X_471,commutator(X_470,X_27)) = identity,
inference(resolve,[$cnf( $equal(commutator(X_471,commutator(X_470,X_27)),multiply(X_27,multiply(inverse(multiply(X_470,multiply(X_471,commutator(multiply(X_470,commutator(X_470,X_27)),X_471)))),multiply(X_471,multiply(X_470,inverse(multiply(X_27,commutator(multiply(X_471,X_471),X_470)))))))) )],[refute_0_4737,refute_0_9065]) ).
cnf(refute_0_9067,plain,
commutator(X,commutator(X_541,X_539)) = identity,
inference(subst,[],[refute_0_9066:[bind(X_27,$fot(X_539)),bind(X_470,$fot(X_541)),bind(X_471,$fot(X))]]) ).
cnf(refute_0_9068,plain,
multiply(X,commutator(X,commutator(X_541,X_539))) = multiply(X,commutator(X,commutator(X_541,X_539))),
introduced(tautology,[refl,[$fot(multiply(X,commutator(X,commutator(X_541,X_539))))]]) ).
cnf(refute_0_9069,plain,
( multiply(X,commutator(X,commutator(X_541,X_539))) != multiply(X,commutator(X,commutator(X_541,X_539)))
| commutator(X,commutator(X_541,X_539)) != identity
| multiply(X,commutator(X,commutator(X_541,X_539))) = multiply(X,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,commutator(X,commutator(X_541,X_539))),multiply(X,commutator(X,commutator(X_541,X_539)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_9070,plain,
( commutator(X,commutator(X_541,X_539)) != identity
| multiply(X,commutator(X,commutator(X_541,X_539))) = multiply(X,identity) ),
inference(resolve,[$cnf( $equal(multiply(X,commutator(X,commutator(X_541,X_539))),multiply(X,commutator(X,commutator(X_541,X_539)))) )],[refute_0_9068,refute_0_9069]) ).
cnf(refute_0_9071,plain,
multiply(X,commutator(X,commutator(X_541,X_539))) = multiply(X,identity),
inference(resolve,[$cnf( $equal(commutator(X,commutator(X_541,X_539)),identity) )],[refute_0_9067,refute_0_9070]) ).
cnf(refute_0_9072,plain,
( multiply(X,commutator(X,commutator(X_541,X_539))) != multiply(X,identity)
| multiply(X,identity) != X
| multiply(X,commutator(X,commutator(X_541,X_539))) = X ),
inference(subst,[],[refute_0_42:[bind(X0,$fot(multiply(X,commutator(X,commutator(X_541,X_539))))),bind(Y0,$fot(multiply(X,identity))),bind(Z0,$fot(X))]]) ).
cnf(refute_0_9073,plain,
( multiply(X,identity) != X
| multiply(X,commutator(X,commutator(X_541,X_539))) = X ),
inference(resolve,[$cnf( $equal(multiply(X,commutator(X,commutator(X_541,X_539))),multiply(X,identity)) )],[refute_0_9071,refute_0_9072]) ).
cnf(refute_0_9074,plain,
multiply(X,commutator(X,commutator(X_541,X_539))) = X,
inference(resolve,[$cnf( $equal(multiply(X,identity),X) )],[refute_0_704,refute_0_9073]) ).
cnf(refute_0_9075,plain,
multiply(commutator(X_539,X_541),multiply(X,commutator(X,commutator(X_541,X_539)))) = multiply(commutator(X_539,X_541),multiply(X,commutator(X,commutator(X_541,X_539)))),
introduced(tautology,[refl,[$fot(multiply(commutator(X_539,X_541),multiply(X,commutator(X,commutator(X_541,X_539)))))]]) ).
cnf(refute_0_9076,plain,
( multiply(X,commutator(X,commutator(X_541,X_539))) != X
| multiply(commutator(X_539,X_541),multiply(X,commutator(X,commutator(X_541,X_539)))) != multiply(commutator(X_539,X_541),multiply(X,commutator(X,commutator(X_541,X_539))))
| multiply(commutator(X_539,X_541),multiply(X,commutator(X,commutator(X_541,X_539)))) = multiply(commutator(X_539,X_541),X) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_539,X_541),multiply(X,commutator(X,commutator(X_541,X_539)))),multiply(commutator(X_539,X_541),multiply(X,commutator(X,commutator(X_541,X_539))))) ),[1,1],$fot(X)]]) ).
cnf(refute_0_9077,plain,
( multiply(X,commutator(X,commutator(X_541,X_539))) != X
| multiply(commutator(X_539,X_541),multiply(X,commutator(X,commutator(X_541,X_539)))) = multiply(commutator(X_539,X_541),X) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_539,X_541),multiply(X,commutator(X,commutator(X_541,X_539)))),multiply(commutator(X_539,X_541),multiply(X,commutator(X,commutator(X_541,X_539))))) )],[refute_0_9075,refute_0_9076]) ).
cnf(refute_0_9078,plain,
multiply(commutator(X_539,X_541),multiply(X,commutator(X,commutator(X_541,X_539)))) = multiply(commutator(X_539,X_541),X),
inference(resolve,[$cnf( $equal(multiply(X,commutator(X,commutator(X_541,X_539))),X) )],[refute_0_9074,refute_0_9077]) ).
cnf(refute_0_9079,plain,
( multiply(X,commutator(X_539,X_541)) != multiply(commutator(X_539,X_541),multiply(X,commutator(X,commutator(X_541,X_539))))
| multiply(commutator(X_539,X_541),multiply(X,commutator(X,commutator(X_541,X_539)))) != multiply(commutator(X_539,X_541),X)
| multiply(X,commutator(X_539,X_541)) = multiply(commutator(X_539,X_541),X) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,commutator(X_539,X_541)),multiply(commutator(X_539,X_541),X)) ),[0],$fot(multiply(commutator(X_539,X_541),multiply(X,commutator(X,commutator(X_541,X_539)))))]]) ).
cnf(refute_0_9080,plain,
( multiply(X,commutator(X_539,X_541)) != multiply(commutator(X_539,X_541),multiply(X,commutator(X,commutator(X_541,X_539))))
| multiply(X,commutator(X_539,X_541)) = multiply(commutator(X_539,X_541),X) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_539,X_541),multiply(X,commutator(X,commutator(X_541,X_539)))),multiply(commutator(X_539,X_541),X)) )],[refute_0_9078,refute_0_9079]) ).
cnf(refute_0_9081,plain,
multiply(X,commutator(X_539,X_541)) = multiply(commutator(X_539,X_541),X),
inference(resolve,[$cnf( $equal(multiply(X,commutator(X_539,X_541)),multiply(commutator(X_539,X_541),multiply(X,commutator(X,commutator(X_541,X_539))))) )],[refute_0_703,refute_0_9080]) ).
cnf(refute_0_9082,plain,
( multiply(X,commutator(X_539,X_541)) != multiply(commutator(X_539,X_541),X)
| multiply(commutator(X_539,X_541),X) = multiply(X,commutator(X_539,X_541)) ),
inference(subst,[],[refute_0_17:[bind(X0,$fot(multiply(X,commutator(X_539,X_541)))),bind(Y0,$fot(multiply(commutator(X_539,X_541),X)))]]) ).
cnf(refute_0_9083,plain,
multiply(commutator(X_539,X_541),X) = multiply(X,commutator(X_539,X_541)),
inference(resolve,[$cnf( $equal(multiply(X,commutator(X_539,X_541)),multiply(commutator(X_539,X_541),X)) )],[refute_0_9081,refute_0_9082]) ).
cnf(refute_0_9084,plain,
multiply(commutator(b,c),a) = multiply(a,commutator(b,c)),
inference(subst,[],[refute_0_9083:[bind(X,$fot(a)),bind(X_539,$fot(b)),bind(X_541,$fot(c))]]) ).
cnf(refute_0_9085,plain,
( multiply(a,commutator(b,c)) != multiply(a,commutator(b,c))
| multiply(commutator(b,c),a) != multiply(a,commutator(b,c))
| multiply(a,commutator(b,c)) = multiply(commutator(b,c),a) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a,commutator(b,c)),multiply(commutator(b,c),a)) ),[1],$fot(multiply(a,commutator(b,c)))]]) ).
cnf(refute_0_9086,plain,
( multiply(a,commutator(b,c)) != multiply(a,commutator(b,c))
| multiply(a,commutator(b,c)) = multiply(commutator(b,c),a) ),
inference(resolve,[$cnf( $equal(multiply(commutator(b,c),a),multiply(a,commutator(b,c))) )],[refute_0_9084,refute_0_9085]) ).
cnf(refute_0_9087,plain,
multiply(a,commutator(b,c)) != multiply(a,commutator(b,c)),
inference(resolve,[$cnf( $equal(multiply(a,commutator(b,c)),multiply(commutator(b,c),a)) )],[refute_0_9086,prove_center]) ).
cnf(refute_0_9088,plain,
multiply(a,commutator(b,c)) = multiply(a,commutator(b,c)),
introduced(tautology,[refl,[$fot(multiply(a,commutator(b,c)))]]) ).
cnf(refute_0_9089,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a,commutator(b,c)),multiply(a,commutator(b,c))) )],[refute_0_9088,refute_0_9087]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : GRP024-5 : TPTP v8.1.0. Released v2.2.0.
% 0.02/0.09 % Command : metis --show proof --show saturation %s
% 0.08/0.29 % Computer : n017.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 600
% 0.08/0.29 % DateTime : Mon Jun 13 21:58:53 EDT 2022
% 0.08/0.29 % CPUTime :
% 0.08/0.29 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 216.53/216.78 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 216.53/216.78
% 216.53/216.78 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 218.22/218.44
%------------------------------------------------------------------------------