TSTP Solution File: GRP402-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP402-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 10:38:37 EDT 2022
% Result : Unsatisfiable 16.13s 16.32s
% Output : CNFRefutation 16.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 55
% Number of leaves : 127
% Syntax : Number of clauses : 563 ( 269 unt; 0 nHn; 295 RR)
% Number of literals : 966 ( 965 equ; 406 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 1326 ( 48 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity_of_multiply,axiom,
multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ).
cnf(left_cancellation,axiom,
( multiply(A,B) != multiply(A,C)
| B = C ) ).
cnf(commutator,axiom,
multiply(A,B) = multiply(B,multiply(A,commutator(A,B))) ).
cnf(nilpotency,axiom,
multiply(commutator(A,B),C) = multiply(C,commutator(A,B)) ).
cnf(prove_commutator_is_associative,negated_conjecture,
commutator(commutator(a,b),c) != commutator(a,commutator(b,c)) ).
cnf(refute_0_0,plain,
( multiply(A,B) != multiply(A,commutator(A,A))
| B = commutator(A,A) ),
inference(subst,[],[left_cancellation:[bind(C,$fot(commutator(A,A)))]]) ).
cnf(refute_0_1,plain,
( multiply(X_19,multiply(A,commutator(A,X_19))) != multiply(X_19,X_21)
| multiply(A,commutator(A,X_19)) = X_21 ),
inference(subst,[],[left_cancellation:[bind(A,$fot(X_19)),bind(B,$fot(multiply(A,commutator(A,X_19)))),bind(C,$fot(X_21))]]) ).
cnf(refute_0_2,plain,
multiply(A,X_19) = multiply(X_19,multiply(A,commutator(A,X_19))),
inference(subst,[],[commutator:[bind(B,$fot(X_19))]]) ).
cnf(refute_0_3,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_4,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_5,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
( multiply(A,X_19) != multiply(X_19,multiply(A,commutator(A,X_19)))
| multiply(X_19,multiply(A,commutator(A,X_19))) = multiply(A,X_19) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(A,X_19))),bind(Y0,$fot(multiply(X_19,multiply(A,commutator(A,X_19)))))]]) ).
cnf(refute_0_7,plain,
multiply(X_19,multiply(A,commutator(A,X_19))) = multiply(A,X_19),
inference(resolve,[$cnf( $equal(multiply(A,X_19),multiply(X_19,multiply(A,commutator(A,X_19)))) )],[refute_0_2,refute_0_6]) ).
cnf(refute_0_8,plain,
( multiply(A,X_19) != multiply(X_19,X_21)
| multiply(X_19,multiply(A,commutator(A,X_19))) != multiply(A,X_19)
| multiply(X_19,multiply(A,commutator(A,X_19))) = multiply(X_19,X_21) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_19,multiply(A,commutator(A,X_19))),multiply(A,X_19)) ),[1],$fot(multiply(X_19,X_21))]]) ).
cnf(refute_0_9,plain,
( multiply(A,X_19) != multiply(X_19,X_21)
| multiply(X_19,multiply(A,commutator(A,X_19))) = multiply(X_19,X_21) ),
inference(resolve,[$cnf( $equal(multiply(X_19,multiply(A,commutator(A,X_19))),multiply(A,X_19)) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
( multiply(A,X_19) != multiply(X_19,X_21)
| multiply(A,commutator(A,X_19)) = X_21 ),
inference(resolve,[$cnf( $equal(multiply(X_19,multiply(A,commutator(A,X_19))),multiply(X_19,X_21)) )],[refute_0_9,refute_0_1]) ).
cnf(refute_0_11,plain,
( multiply(X_21,X_21) != multiply(X_21,X_21)
| multiply(X_21,commutator(X_21,X_21)) = X_21 ),
inference(subst,[],[refute_0_10:[bind(A,$fot(X_21)),bind(X_19,$fot(X_21))]]) ).
cnf(refute_0_12,plain,
multiply(X_21,X_21) = multiply(X_21,X_21),
introduced(tautology,[refl,[$fot(multiply(X_21,X_21))]]) ).
cnf(refute_0_13,plain,
multiply(X_21,commutator(X_21,X_21)) = X_21,
inference(resolve,[$cnf( $equal(multiply(X_21,X_21),multiply(X_21,X_21)) )],[refute_0_12,refute_0_11]) ).
cnf(refute_0_14,plain,
multiply(A,commutator(A,A)) = A,
inference(subst,[],[refute_0_13:[bind(X_21,$fot(A))]]) ).
cnf(refute_0_15,plain,
( multiply(A,B) != A
| multiply(A,commutator(A,A)) != A
| multiply(A,B) = multiply(A,commutator(A,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,B),multiply(A,commutator(A,A))) ),[1],$fot(A)]]) ).
cnf(refute_0_16,plain,
( multiply(A,B) != A
| multiply(A,B) = multiply(A,commutator(A,A)) ),
inference(resolve,[$cnf( $equal(multiply(A,commutator(A,A)),A) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
( multiply(A,B) != A
| B = commutator(A,A) ),
inference(resolve,[$cnf( $equal(multiply(A,B),multiply(A,commutator(A,A))) )],[refute_0_16,refute_0_0]) ).
cnf(refute_0_18,plain,
( multiply(X_242,commutator(commutator(X_165,X_166),X_242)) != X_242
| commutator(commutator(X_165,X_166),X_242) = commutator(X_242,X_242) ),
inference(subst,[],[refute_0_17:[bind(A,$fot(X_242)),bind(B,$fot(commutator(commutator(X_165,X_166),X_242)))]]) ).
cnf(refute_0_19,plain,
( multiply(commutator(X_165,X_166),B) != multiply(commutator(X_165,X_166),multiply(X_167,commutator(commutator(X_165,X_166),X_167)))
| B = multiply(X_167,commutator(commutator(X_165,X_166),X_167)) ),
inference(subst,[],[left_cancellation:[bind(A,$fot(commutator(X_165,X_166))),bind(C,$fot(multiply(X_167,commutator(commutator(X_165,X_166),X_167))))]]) ).
cnf(refute_0_20,plain,
( multiply(X_19,multiply(X_2,multiply(X_3,commutator(multiply(X_2,X_3),X_19)))) != multiply(X_19,X_21)
| multiply(X_2,multiply(X_3,commutator(multiply(X_2,X_3),X_19))) = X_21 ),
inference(subst,[],[left_cancellation:[bind(A,$fot(X_19)),bind(B,$fot(multiply(X_2,multiply(X_3,commutator(multiply(X_2,X_3),X_19))))),bind(C,$fot(X_21))]]) ).
cnf(refute_0_21,plain,
multiply(multiply(X_2,X_3),B) = multiply(B,multiply(multiply(X_2,X_3),commutator(multiply(X_2,X_3),B))),
inference(subst,[],[commutator:[bind(A,$fot(multiply(X_2,X_3)))]]) ).
cnf(refute_0_22,plain,
multiply(multiply(X_2,X_3),commutator(multiply(X_2,X_3),B)) = multiply(X_2,multiply(X_3,commutator(multiply(X_2,X_3),B))),
inference(subst,[],[associativity_of_multiply:[bind(X,$fot(X_2)),bind(Y,$fot(X_3)),bind(Z,$fot(commutator(multiply(X_2,X_3),B)))]]) ).
cnf(refute_0_23,plain,
( multiply(multiply(X_2,X_3),B) != multiply(B,multiply(multiply(X_2,X_3),commutator(multiply(X_2,X_3),B)))
| multiply(multiply(X_2,X_3),commutator(multiply(X_2,X_3),B)) != multiply(X_2,multiply(X_3,commutator(multiply(X_2,X_3),B)))
| multiply(multiply(X_2,X_3),B) = multiply(B,multiply(X_2,multiply(X_3,commutator(multiply(X_2,X_3),B)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_2,X_3),B),multiply(B,multiply(multiply(X_2,X_3),commutator(multiply(X_2,X_3),B)))) ),[1,1],$fot(multiply(X_2,multiply(X_3,commutator(multiply(X_2,X_3),B))))]]) ).
cnf(refute_0_24,plain,
( multiply(multiply(X_2,X_3),B) != multiply(B,multiply(multiply(X_2,X_3),commutator(multiply(X_2,X_3),B)))
| multiply(multiply(X_2,X_3),B) = multiply(B,multiply(X_2,multiply(X_3,commutator(multiply(X_2,X_3),B)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_2,X_3),commutator(multiply(X_2,X_3),B)),multiply(X_2,multiply(X_3,commutator(multiply(X_2,X_3),B)))) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
multiply(multiply(X_2,X_3),B) = multiply(B,multiply(X_2,multiply(X_3,commutator(multiply(X_2,X_3),B)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_2,X_3),B),multiply(B,multiply(multiply(X_2,X_3),commutator(multiply(X_2,X_3),B)))) )],[refute_0_21,refute_0_24]) ).
cnf(refute_0_26,plain,
multiply(multiply(X_2,X_3),B) = multiply(X_2,multiply(X_3,B)),
inference(subst,[],[associativity_of_multiply:[bind(X,$fot(X_2)),bind(Y,$fot(X_3)),bind(Z,$fot(B))]]) ).
cnf(refute_0_27,plain,
( multiply(multiply(X_2,X_3),B) != multiply(B,multiply(X_2,multiply(X_3,commutator(multiply(X_2,X_3),B))))
| multiply(multiply(X_2,X_3),B) != multiply(X_2,multiply(X_3,B))
| multiply(X_2,multiply(X_3,B)) = multiply(B,multiply(X_2,multiply(X_3,commutator(multiply(X_2,X_3),B)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_2,X_3),B),multiply(B,multiply(X_2,multiply(X_3,commutator(multiply(X_2,X_3),B))))) ),[0],$fot(multiply(X_2,multiply(X_3,B)))]]) ).
cnf(refute_0_28,plain,
( multiply(multiply(X_2,X_3),B) != multiply(B,multiply(X_2,multiply(X_3,commutator(multiply(X_2,X_3),B))))
| multiply(X_2,multiply(X_3,B)) = multiply(B,multiply(X_2,multiply(X_3,commutator(multiply(X_2,X_3),B)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_2,X_3),B),multiply(X_2,multiply(X_3,B))) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
multiply(X_2,multiply(X_3,B)) = multiply(B,multiply(X_2,multiply(X_3,commutator(multiply(X_2,X_3),B)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_2,X_3),B),multiply(B,multiply(X_2,multiply(X_3,commutator(multiply(X_2,X_3),B))))) )],[refute_0_25,refute_0_28]) ).
cnf(refute_0_30,plain,
multiply(X_2,multiply(X_3,X_19)) = multiply(X_19,multiply(X_2,multiply(X_3,commutator(multiply(X_2,X_3),X_19)))),
inference(subst,[],[refute_0_29:[bind(B,$fot(X_19))]]) ).
cnf(refute_0_31,plain,
( multiply(X_2,multiply(X_3,X_19)) != multiply(X_19,multiply(X_2,multiply(X_3,commutator(multiply(X_2,X_3),X_19))))
| multiply(X_19,multiply(X_2,multiply(X_3,commutator(multiply(X_2,X_3),X_19)))) = multiply(X_2,multiply(X_3,X_19)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(X_2,multiply(X_3,X_19)))),bind(Y0,$fot(multiply(X_19,multiply(X_2,multiply(X_3,commutator(multiply(X_2,X_3),X_19))))))]]) ).
cnf(refute_0_32,plain,
multiply(X_19,multiply(X_2,multiply(X_3,commutator(multiply(X_2,X_3),X_19)))) = multiply(X_2,multiply(X_3,X_19)),
inference(resolve,[$cnf( $equal(multiply(X_2,multiply(X_3,X_19)),multiply(X_19,multiply(X_2,multiply(X_3,commutator(multiply(X_2,X_3),X_19))))) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
( multiply(X_19,multiply(X_2,multiply(X_3,commutator(multiply(X_2,X_3),X_19)))) != multiply(X_2,multiply(X_3,X_19))
| multiply(X_2,multiply(X_3,X_19)) != multiply(X_19,X_21)
| multiply(X_19,multiply(X_2,multiply(X_3,commutator(multiply(X_2,X_3),X_19)))) = multiply(X_19,X_21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_19,multiply(X_2,multiply(X_3,commutator(multiply(X_2,X_3),X_19)))),multiply(X_19,X_21)) ),[0],$fot(multiply(X_2,multiply(X_3,X_19)))]]) ).
cnf(refute_0_34,plain,
( multiply(X_2,multiply(X_3,X_19)) != multiply(X_19,X_21)
| multiply(X_19,multiply(X_2,multiply(X_3,commutator(multiply(X_2,X_3),X_19)))) = multiply(X_19,X_21) ),
inference(resolve,[$cnf( $equal(multiply(X_19,multiply(X_2,multiply(X_3,commutator(multiply(X_2,X_3),X_19)))),multiply(X_2,multiply(X_3,X_19))) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
( multiply(X_2,multiply(X_3,X_19)) != multiply(X_19,X_21)
| multiply(X_2,multiply(X_3,commutator(multiply(X_2,X_3),X_19))) = X_21 ),
inference(resolve,[$cnf( $equal(multiply(X_19,multiply(X_2,multiply(X_3,commutator(multiply(X_2,X_3),X_19)))),multiply(X_19,X_21)) )],[refute_0_34,refute_0_20]) ).
cnf(refute_0_36,plain,
( multiply(X_19,multiply(X_3,X_19)) != multiply(X_19,multiply(X_3,X_19))
| multiply(X_19,multiply(X_3,commutator(multiply(X_19,X_3),X_19))) = multiply(X_3,X_19) ),
inference(subst,[],[refute_0_35:[bind(X_2,$fot(X_19)),bind(X_21,$fot(multiply(X_3,X_19)))]]) ).
cnf(refute_0_37,plain,
multiply(X_19,multiply(X_3,X_19)) = multiply(X_19,multiply(X_3,X_19)),
introduced(tautology,[refl,[$fot(multiply(X_19,multiply(X_3,X_19)))]]) ).
cnf(refute_0_38,plain,
multiply(X_19,multiply(X_3,commutator(multiply(X_19,X_3),X_19))) = multiply(X_3,X_19),
inference(resolve,[$cnf( $equal(multiply(X_19,multiply(X_3,X_19)),multiply(X_19,multiply(X_3,X_19))) )],[refute_0_37,refute_0_36]) ).
cnf(refute_0_39,plain,
multiply(X_19,multiply(commutator(X_137,X_138),commutator(multiply(X_19,commutator(X_137,X_138)),X_19))) = multiply(commutator(X_137,X_138),X_19),
inference(subst,[],[refute_0_38:[bind(X_3,$fot(commutator(X_137,X_138)))]]) ).
cnf(refute_0_40,plain,
multiply(multiply(commutator(X_5,X_6),Y),Z) = multiply(commutator(X_5,X_6),multiply(Y,Z)),
inference(subst,[],[associativity_of_multiply:[bind(X,$fot(commutator(X_5,X_6)))]]) ).
cnf(refute_0_41,plain,
multiply(commutator(X_5,X_6),Y) = multiply(Y,commutator(X_5,X_6)),
inference(subst,[],[nilpotency:[bind(A,$fot(X_5)),bind(B,$fot(X_6)),bind(C,$fot(Y))]]) ).
cnf(refute_0_42,plain,
( multiply(multiply(commutator(X_5,X_6),Y),Z) != multiply(commutator(X_5,X_6),multiply(Y,Z))
| multiply(commutator(X_5,X_6),Y) != multiply(Y,commutator(X_5,X_6))
| multiply(multiply(Y,commutator(X_5,X_6)),Z) = multiply(commutator(X_5,X_6),multiply(Y,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(commutator(X_5,X_6),Y),Z),multiply(commutator(X_5,X_6),multiply(Y,Z))) ),[0,0],$fot(multiply(Y,commutator(X_5,X_6)))]]) ).
cnf(refute_0_43,plain,
( multiply(multiply(commutator(X_5,X_6),Y),Z) != multiply(commutator(X_5,X_6),multiply(Y,Z))
| multiply(multiply(Y,commutator(X_5,X_6)),Z) = multiply(commutator(X_5,X_6),multiply(Y,Z)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_5,X_6),Y),multiply(Y,commutator(X_5,X_6))) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
multiply(multiply(Y,commutator(X_5,X_6)),Z) = multiply(commutator(X_5,X_6),multiply(Y,Z)),
inference(resolve,[$cnf( $equal(multiply(multiply(commutator(X_5,X_6),Y),Z),multiply(commutator(X_5,X_6),multiply(Y,Z))) )],[refute_0_40,refute_0_43]) ).
cnf(refute_0_45,plain,
multiply(multiply(Y,commutator(X_5,X_6)),Z) = multiply(Y,multiply(commutator(X_5,X_6),Z)),
inference(subst,[],[associativity_of_multiply:[bind(X,$fot(Y)),bind(Y,$fot(commutator(X_5,X_6)))]]) ).
cnf(refute_0_46,plain,
( multiply(multiply(Y,commutator(X_5,X_6)),Z) != multiply(Y,multiply(commutator(X_5,X_6),Z))
| multiply(multiply(Y,commutator(X_5,X_6)),Z) != multiply(commutator(X_5,X_6),multiply(Y,Z))
| multiply(Y,multiply(commutator(X_5,X_6),Z)) = multiply(commutator(X_5,X_6),multiply(Y,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(Y,commutator(X_5,X_6)),Z),multiply(commutator(X_5,X_6),multiply(Y,Z))) ),[0],$fot(multiply(Y,multiply(commutator(X_5,X_6),Z)))]]) ).
cnf(refute_0_47,plain,
( multiply(multiply(Y,commutator(X_5,X_6)),Z) != multiply(commutator(X_5,X_6),multiply(Y,Z))
| multiply(Y,multiply(commutator(X_5,X_6),Z)) = multiply(commutator(X_5,X_6),multiply(Y,Z)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,commutator(X_5,X_6)),Z),multiply(Y,multiply(commutator(X_5,X_6),Z))) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
multiply(Y,multiply(commutator(X_5,X_6),Z)) = multiply(commutator(X_5,X_6),multiply(Y,Z)),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,commutator(X_5,X_6)),Z),multiply(commutator(X_5,X_6),multiply(Y,Z))) )],[refute_0_44,refute_0_47]) ).
cnf(refute_0_49,plain,
multiply(X_19,multiply(commutator(X_137,X_138),commutator(multiply(X_19,commutator(X_137,X_138)),X_19))) = multiply(commutator(X_137,X_138),multiply(X_19,commutator(multiply(X_19,commutator(X_137,X_138)),X_19))),
inference(subst,[],[refute_0_48:[bind(Y,$fot(X_19)),bind(Z,$fot(commutator(multiply(X_19,commutator(X_137,X_138)),X_19))),bind(X_5,$fot(X_137)),bind(X_6,$fot(X_138))]]) ).
cnf(refute_0_50,plain,
( multiply(X_19,multiply(commutator(X_137,X_138),commutator(multiply(X_19,commutator(X_137,X_138)),X_19))) != multiply(commutator(X_137,X_138),X_19)
| multiply(X_19,multiply(commutator(X_137,X_138),commutator(multiply(X_19,commutator(X_137,X_138)),X_19))) != multiply(commutator(X_137,X_138),multiply(X_19,commutator(multiply(X_19,commutator(X_137,X_138)),X_19)))
| multiply(commutator(X_137,X_138),multiply(X_19,commutator(multiply(X_19,commutator(X_137,X_138)),X_19))) = multiply(commutator(X_137,X_138),X_19) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_19,multiply(commutator(X_137,X_138),commutator(multiply(X_19,commutator(X_137,X_138)),X_19))),multiply(commutator(X_137,X_138),X_19)) ),[0],$fot(multiply(commutator(X_137,X_138),multiply(X_19,commutator(multiply(X_19,commutator(X_137,X_138)),X_19))))]]) ).
cnf(refute_0_51,plain,
( multiply(X_19,multiply(commutator(X_137,X_138),commutator(multiply(X_19,commutator(X_137,X_138)),X_19))) != multiply(commutator(X_137,X_138),X_19)
| multiply(commutator(X_137,X_138),multiply(X_19,commutator(multiply(X_19,commutator(X_137,X_138)),X_19))) = multiply(commutator(X_137,X_138),X_19) ),
inference(resolve,[$cnf( $equal(multiply(X_19,multiply(commutator(X_137,X_138),commutator(multiply(X_19,commutator(X_137,X_138)),X_19))),multiply(commutator(X_137,X_138),multiply(X_19,commutator(multiply(X_19,commutator(X_137,X_138)),X_19)))) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
multiply(commutator(X_137,X_138),multiply(X_19,commutator(multiply(X_19,commutator(X_137,X_138)),X_19))) = multiply(commutator(X_137,X_138),X_19),
inference(resolve,[$cnf( $equal(multiply(X_19,multiply(commutator(X_137,X_138),commutator(multiply(X_19,commutator(X_137,X_138)),X_19))),multiply(commutator(X_137,X_138),X_19)) )],[refute_0_39,refute_0_51]) ).
cnf(refute_0_53,plain,
multiply(X_19,multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),commutator(multiply(X_19,multiply(X_58,commutator(multiply(X_19,X_58),X_19))),X_19))) = multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),X_19),
inference(subst,[],[refute_0_38:[bind(X_3,$fot(multiply(X_58,commutator(multiply(X_19,X_58),X_19))))]]) ).
cnf(refute_0_54,plain,
multiply(X_19,multiply(X_58,commutator(multiply(X_19,X_58),X_19))) = multiply(X_58,X_19),
inference(subst,[],[refute_0_38:[bind(X_3,$fot(X_58))]]) ).
cnf(refute_0_55,plain,
( multiply(X_19,multiply(X_58,commutator(multiply(X_19,X_58),X_19))) != multiply(X_58,X_19)
| multiply(X_19,multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),commutator(multiply(X_19,multiply(X_58,commutator(multiply(X_19,X_58),X_19))),X_19))) != multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),X_19)
| multiply(X_19,multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),commutator(multiply(X_58,X_19),X_19))) = multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),X_19) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_19,multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),commutator(multiply(X_19,multiply(X_58,commutator(multiply(X_19,X_58),X_19))),X_19))),multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),X_19)) ),[0,1,1,0],$fot(multiply(X_58,X_19))]]) ).
cnf(refute_0_56,plain,
( multiply(X_19,multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),commutator(multiply(X_19,multiply(X_58,commutator(multiply(X_19,X_58),X_19))),X_19))) != multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),X_19)
| multiply(X_19,multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),commutator(multiply(X_58,X_19),X_19))) = multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),X_19) ),
inference(resolve,[$cnf( $equal(multiply(X_19,multiply(X_58,commutator(multiply(X_19,X_58),X_19))),multiply(X_58,X_19)) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
multiply(X_19,multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),commutator(multiply(X_58,X_19),X_19))) = multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),X_19),
inference(resolve,[$cnf( $equal(multiply(X_19,multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),commutator(multiply(X_19,multiply(X_58,commutator(multiply(X_19,X_58),X_19))),X_19))),multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),X_19)) )],[refute_0_53,refute_0_56]) ).
cnf(refute_0_58,plain,
multiply(multiply(X_2,multiply(A,commutator(A,X_2))),X_4) = multiply(X_2,multiply(multiply(A,commutator(A,X_2)),X_4)),
inference(subst,[],[associativity_of_multiply:[bind(X,$fot(X_2)),bind(Y,$fot(multiply(A,commutator(A,X_2)))),bind(Z,$fot(X_4))]]) ).
cnf(refute_0_59,plain,
multiply(A,X_2) = multiply(X_2,multiply(A,commutator(A,X_2))),
inference(subst,[],[commutator:[bind(B,$fot(X_2))]]) ).
cnf(refute_0_60,plain,
( multiply(A,X_2) != multiply(X_2,multiply(A,commutator(A,X_2)))
| multiply(X_2,multiply(A,commutator(A,X_2))) = multiply(A,X_2) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(A,X_2))),bind(Y0,$fot(multiply(X_2,multiply(A,commutator(A,X_2)))))]]) ).
cnf(refute_0_61,plain,
multiply(X_2,multiply(A,commutator(A,X_2))) = multiply(A,X_2),
inference(resolve,[$cnf( $equal(multiply(A,X_2),multiply(X_2,multiply(A,commutator(A,X_2)))) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
( multiply(X_2,multiply(A,commutator(A,X_2))) != multiply(A,X_2)
| multiply(multiply(X_2,multiply(A,commutator(A,X_2))),X_4) != multiply(X_2,multiply(multiply(A,commutator(A,X_2)),X_4))
| multiply(multiply(A,X_2),X_4) = multiply(X_2,multiply(multiply(A,commutator(A,X_2)),X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_2,multiply(A,commutator(A,X_2))),X_4),multiply(X_2,multiply(multiply(A,commutator(A,X_2)),X_4))) ),[0,0],$fot(multiply(A,X_2))]]) ).
cnf(refute_0_63,plain,
( multiply(multiply(X_2,multiply(A,commutator(A,X_2))),X_4) != multiply(X_2,multiply(multiply(A,commutator(A,X_2)),X_4))
| multiply(multiply(A,X_2),X_4) = multiply(X_2,multiply(multiply(A,commutator(A,X_2)),X_4)) ),
inference(resolve,[$cnf( $equal(multiply(X_2,multiply(A,commutator(A,X_2))),multiply(A,X_2)) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
multiply(multiply(A,X_2),X_4) = multiply(X_2,multiply(multiply(A,commutator(A,X_2)),X_4)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_2,multiply(A,commutator(A,X_2))),X_4),multiply(X_2,multiply(multiply(A,commutator(A,X_2)),X_4))) )],[refute_0_58,refute_0_63]) ).
cnf(refute_0_65,plain,
multiply(multiply(A,X_2),X_4) = multiply(A,multiply(X_2,X_4)),
inference(subst,[],[associativity_of_multiply:[bind(X,$fot(A)),bind(Y,$fot(X_2)),bind(Z,$fot(X_4))]]) ).
cnf(refute_0_66,plain,
( multiply(multiply(A,X_2),X_4) != multiply(A,multiply(X_2,X_4))
| multiply(multiply(A,X_2),X_4) != multiply(X_2,multiply(multiply(A,commutator(A,X_2)),X_4))
| multiply(A,multiply(X_2,X_4)) = multiply(X_2,multiply(multiply(A,commutator(A,X_2)),X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,X_2),X_4),multiply(X_2,multiply(multiply(A,commutator(A,X_2)),X_4))) ),[0],$fot(multiply(A,multiply(X_2,X_4)))]]) ).
cnf(refute_0_67,plain,
( multiply(multiply(A,X_2),X_4) != multiply(X_2,multiply(multiply(A,commutator(A,X_2)),X_4))
| multiply(A,multiply(X_2,X_4)) = multiply(X_2,multiply(multiply(A,commutator(A,X_2)),X_4)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(A,X_2),X_4),multiply(A,multiply(X_2,X_4))) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
multiply(multiply(A,commutator(A,X_2)),X_4) = multiply(A,multiply(commutator(A,X_2),X_4)),
inference(subst,[],[associativity_of_multiply:[bind(X,$fot(A)),bind(Y,$fot(commutator(A,X_2))),bind(Z,$fot(X_4))]]) ).
cnf(refute_0_69,plain,
multiply(X_2,multiply(multiply(A,commutator(A,X_2)),X_4)) = multiply(X_2,multiply(multiply(A,commutator(A,X_2)),X_4)),
introduced(tautology,[refl,[$fot(multiply(X_2,multiply(multiply(A,commutator(A,X_2)),X_4)))]]) ).
cnf(refute_0_70,plain,
( multiply(X_2,multiply(multiply(A,commutator(A,X_2)),X_4)) != multiply(X_2,multiply(multiply(A,commutator(A,X_2)),X_4))
| multiply(multiply(A,commutator(A,X_2)),X_4) != multiply(A,multiply(commutator(A,X_2),X_4))
| multiply(X_2,multiply(multiply(A,commutator(A,X_2)),X_4)) = multiply(X_2,multiply(A,multiply(commutator(A,X_2),X_4))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,multiply(multiply(A,commutator(A,X_2)),X_4)),multiply(X_2,multiply(multiply(A,commutator(A,X_2)),X_4))) ),[1,1],$fot(multiply(A,multiply(commutator(A,X_2),X_4)))]]) ).
cnf(refute_0_71,plain,
( multiply(multiply(A,commutator(A,X_2)),X_4) != multiply(A,multiply(commutator(A,X_2),X_4))
| multiply(X_2,multiply(multiply(A,commutator(A,X_2)),X_4)) = multiply(X_2,multiply(A,multiply(commutator(A,X_2),X_4))) ),
inference(resolve,[$cnf( $equal(multiply(X_2,multiply(multiply(A,commutator(A,X_2)),X_4)),multiply(X_2,multiply(multiply(A,commutator(A,X_2)),X_4))) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
multiply(X_2,multiply(multiply(A,commutator(A,X_2)),X_4)) = multiply(X_2,multiply(A,multiply(commutator(A,X_2),X_4))),
inference(resolve,[$cnf( $equal(multiply(multiply(A,commutator(A,X_2)),X_4),multiply(A,multiply(commutator(A,X_2),X_4))) )],[refute_0_68,refute_0_71]) ).
cnf(refute_0_73,plain,
( multiply(A,multiply(X_2,X_4)) != multiply(X_2,multiply(multiply(A,commutator(A,X_2)),X_4))
| multiply(X_2,multiply(multiply(A,commutator(A,X_2)),X_4)) != multiply(X_2,multiply(A,multiply(commutator(A,X_2),X_4)))
| multiply(A,multiply(X_2,X_4)) = multiply(X_2,multiply(A,multiply(commutator(A,X_2),X_4))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,multiply(X_2,X_4)),multiply(X_2,multiply(A,multiply(commutator(A,X_2),X_4)))) ),[0],$fot(multiply(X_2,multiply(multiply(A,commutator(A,X_2)),X_4)))]]) ).
cnf(refute_0_74,plain,
( multiply(A,multiply(X_2,X_4)) != multiply(X_2,multiply(multiply(A,commutator(A,X_2)),X_4))
| multiply(A,multiply(X_2,X_4)) = multiply(X_2,multiply(A,multiply(commutator(A,X_2),X_4))) ),
inference(resolve,[$cnf( $equal(multiply(X_2,multiply(multiply(A,commutator(A,X_2)),X_4)),multiply(X_2,multiply(A,multiply(commutator(A,X_2),X_4)))) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
( multiply(multiply(A,X_2),X_4) != multiply(X_2,multiply(multiply(A,commutator(A,X_2)),X_4))
| multiply(A,multiply(X_2,X_4)) = multiply(X_2,multiply(A,multiply(commutator(A,X_2),X_4))) ),
inference(resolve,[$cnf( $equal(multiply(A,multiply(X_2,X_4)),multiply(X_2,multiply(multiply(A,commutator(A,X_2)),X_4))) )],[refute_0_67,refute_0_74]) ).
cnf(refute_0_76,plain,
multiply(A,multiply(X_2,X_4)) = multiply(X_2,multiply(A,multiply(commutator(A,X_2),X_4))),
inference(resolve,[$cnf( $equal(multiply(multiply(A,X_2),X_4),multiply(X_2,multiply(multiply(A,commutator(A,X_2)),X_4))) )],[refute_0_64,refute_0_75]) ).
cnf(refute_0_77,plain,
multiply(commutator(A,B),multiply(X_43,X_44)) = multiply(X_43,multiply(commutator(A,B),multiply(commutator(commutator(A,B),X_43),X_44))),
inference(subst,[],[refute_0_76:[bind(A,$fot(commutator(A,B))),bind(X_2,$fot(X_43)),bind(X_4,$fot(X_44))]]) ).
cnf(refute_0_78,plain,
multiply(commutator(A,B),multiply(X_43,X_44)) = multiply(multiply(X_43,X_44),commutator(A,B)),
inference(subst,[],[nilpotency:[bind(C,$fot(multiply(X_43,X_44)))]]) ).
cnf(refute_0_79,plain,
( multiply(commutator(A,B),multiply(X_43,X_44)) != multiply(X_43,multiply(commutator(A,B),multiply(commutator(commutator(A,B),X_43),X_44)))
| multiply(commutator(A,B),multiply(X_43,X_44)) != multiply(multiply(X_43,X_44),commutator(A,B))
| multiply(multiply(X_43,X_44),commutator(A,B)) = multiply(X_43,multiply(commutator(A,B),multiply(commutator(commutator(A,B),X_43),X_44))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(A,B),multiply(X_43,X_44)),multiply(X_43,multiply(commutator(A,B),multiply(commutator(commutator(A,B),X_43),X_44)))) ),[0],$fot(multiply(multiply(X_43,X_44),commutator(A,B)))]]) ).
cnf(refute_0_80,plain,
( multiply(commutator(A,B),multiply(X_43,X_44)) != multiply(X_43,multiply(commutator(A,B),multiply(commutator(commutator(A,B),X_43),X_44)))
| multiply(multiply(X_43,X_44),commutator(A,B)) = multiply(X_43,multiply(commutator(A,B),multiply(commutator(commutator(A,B),X_43),X_44))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(A,B),multiply(X_43,X_44)),multiply(multiply(X_43,X_44),commutator(A,B))) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
multiply(multiply(X_43,X_44),commutator(A,B)) = multiply(X_43,multiply(commutator(A,B),multiply(commutator(commutator(A,B),X_43),X_44))),
inference(resolve,[$cnf( $equal(multiply(commutator(A,B),multiply(X_43,X_44)),multiply(X_43,multiply(commutator(A,B),multiply(commutator(commutator(A,B),X_43),X_44)))) )],[refute_0_77,refute_0_80]) ).
cnf(refute_0_82,plain,
multiply(multiply(X_43,X_44),commutator(A,B)) = multiply(X_43,multiply(X_44,commutator(A,B))),
inference(subst,[],[associativity_of_multiply:[bind(X,$fot(X_43)),bind(Y,$fot(X_44)),bind(Z,$fot(commutator(A,B)))]]) ).
cnf(refute_0_83,plain,
( multiply(multiply(X_43,X_44),commutator(A,B)) != multiply(X_43,multiply(X_44,commutator(A,B)))
| multiply(multiply(X_43,X_44),commutator(A,B)) != multiply(X_43,multiply(commutator(A,B),multiply(commutator(commutator(A,B),X_43),X_44)))
| multiply(X_43,multiply(X_44,commutator(A,B))) = multiply(X_43,multiply(commutator(A,B),multiply(commutator(commutator(A,B),X_43),X_44))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_43,X_44),commutator(A,B)),multiply(X_43,multiply(commutator(A,B),multiply(commutator(commutator(A,B),X_43),X_44)))) ),[0],$fot(multiply(X_43,multiply(X_44,commutator(A,B))))]]) ).
cnf(refute_0_84,plain,
( multiply(multiply(X_43,X_44),commutator(A,B)) != multiply(X_43,multiply(commutator(A,B),multiply(commutator(commutator(A,B),X_43),X_44)))
| multiply(X_43,multiply(X_44,commutator(A,B))) = multiply(X_43,multiply(commutator(A,B),multiply(commutator(commutator(A,B),X_43),X_44))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_43,X_44),commutator(A,B)),multiply(X_43,multiply(X_44,commutator(A,B)))) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
( multiply(A,multiply(X_2,X_4)) != multiply(X_2,multiply(A,multiply(commutator(A,X_2),X_4)))
| multiply(X_2,multiply(A,multiply(commutator(A,X_2),X_4))) = multiply(A,multiply(X_2,X_4)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(A,multiply(X_2,X_4)))),bind(Y0,$fot(multiply(X_2,multiply(A,multiply(commutator(A,X_2),X_4)))))]]) ).
cnf(refute_0_86,plain,
multiply(X_2,multiply(A,multiply(commutator(A,X_2),X_4))) = multiply(A,multiply(X_2,X_4)),
inference(resolve,[$cnf( $equal(multiply(A,multiply(X_2,X_4)),multiply(X_2,multiply(A,multiply(commutator(A,X_2),X_4)))) )],[refute_0_76,refute_0_85]) ).
cnf(refute_0_87,plain,
multiply(X_43,multiply(commutator(A,B),multiply(commutator(commutator(A,B),X_43),X_44))) = multiply(commutator(A,B),multiply(X_43,X_44)),
inference(subst,[],[refute_0_86:[bind(A,$fot(commutator(A,B))),bind(X_2,$fot(X_43)),bind(X_4,$fot(X_44))]]) ).
cnf(refute_0_88,plain,
( multiply(X_43,multiply(X_44,commutator(A,B))) != multiply(X_43,multiply(commutator(A,B),multiply(commutator(commutator(A,B),X_43),X_44)))
| multiply(X_43,multiply(commutator(A,B),multiply(commutator(commutator(A,B),X_43),X_44))) != multiply(commutator(A,B),multiply(X_43,X_44))
| multiply(X_43,multiply(X_44,commutator(A,B))) = multiply(commutator(A,B),multiply(X_43,X_44)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_43,multiply(X_44,commutator(A,B))),multiply(commutator(A,B),multiply(X_43,X_44))) ),[0],$fot(multiply(X_43,multiply(commutator(A,B),multiply(commutator(commutator(A,B),X_43),X_44))))]]) ).
cnf(refute_0_89,plain,
( multiply(X_43,multiply(X_44,commutator(A,B))) != multiply(X_43,multiply(commutator(A,B),multiply(commutator(commutator(A,B),X_43),X_44)))
| multiply(X_43,multiply(X_44,commutator(A,B))) = multiply(commutator(A,B),multiply(X_43,X_44)) ),
inference(resolve,[$cnf( $equal(multiply(X_43,multiply(commutator(A,B),multiply(commutator(commutator(A,B),X_43),X_44))),multiply(commutator(A,B),multiply(X_43,X_44))) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
( multiply(multiply(X_43,X_44),commutator(A,B)) != multiply(X_43,multiply(commutator(A,B),multiply(commutator(commutator(A,B),X_43),X_44)))
| multiply(X_43,multiply(X_44,commutator(A,B))) = multiply(commutator(A,B),multiply(X_43,X_44)) ),
inference(resolve,[$cnf( $equal(multiply(X_43,multiply(X_44,commutator(A,B))),multiply(X_43,multiply(commutator(A,B),multiply(commutator(commutator(A,B),X_43),X_44)))) )],[refute_0_84,refute_0_89]) ).
cnf(refute_0_91,plain,
multiply(X_43,multiply(X_44,commutator(A,B))) = multiply(commutator(A,B),multiply(X_43,X_44)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_43,X_44),commutator(A,B)),multiply(X_43,multiply(commutator(A,B),multiply(commutator(commutator(A,B),X_43),X_44)))) )],[refute_0_81,refute_0_90]) ).
cnf(refute_0_92,plain,
( multiply(X_43,multiply(X_44,commutator(A,B))) != multiply(commutator(A,B),multiply(X_43,X_44))
| multiply(commutator(A,B),multiply(X_43,X_44)) = multiply(X_43,multiply(X_44,commutator(A,B))) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(X_43,multiply(X_44,commutator(A,B))))),bind(Y0,$fot(multiply(commutator(A,B),multiply(X_43,X_44))))]]) ).
cnf(refute_0_93,plain,
multiply(commutator(A,B),multiply(X_43,X_44)) = multiply(X_43,multiply(X_44,commutator(A,B))),
inference(resolve,[$cnf( $equal(multiply(X_43,multiply(X_44,commutator(A,B))),multiply(commutator(A,B),multiply(X_43,X_44))) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
multiply(commutator(multiply(X_58,X_19),X_19),multiply(X_58,commutator(multiply(X_19,X_58),X_19))) = multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),commutator(multiply(X_58,X_19),X_19))),
inference(subst,[],[refute_0_93:[bind(A,$fot(multiply(X_58,X_19))),bind(B,$fot(X_19)),bind(X_43,$fot(X_58)),bind(X_44,$fot(commutator(multiply(X_19,X_58),X_19)))]]) ).
cnf(refute_0_95,plain,
multiply(X_19,multiply(commutator(multiply(X_58,X_19),X_19),multiply(X_58,commutator(multiply(X_19,X_58),X_19)))) = multiply(X_19,multiply(commutator(multiply(X_58,X_19),X_19),multiply(X_58,commutator(multiply(X_19,X_58),X_19)))),
introduced(tautology,[refl,[$fot(multiply(X_19,multiply(commutator(multiply(X_58,X_19),X_19),multiply(X_58,commutator(multiply(X_19,X_58),X_19)))))]]) ).
cnf(refute_0_96,plain,
( multiply(X_19,multiply(commutator(multiply(X_58,X_19),X_19),multiply(X_58,commutator(multiply(X_19,X_58),X_19)))) != multiply(X_19,multiply(commutator(multiply(X_58,X_19),X_19),multiply(X_58,commutator(multiply(X_19,X_58),X_19))))
| multiply(commutator(multiply(X_58,X_19),X_19),multiply(X_58,commutator(multiply(X_19,X_58),X_19))) != multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),commutator(multiply(X_58,X_19),X_19)))
| multiply(X_19,multiply(commutator(multiply(X_58,X_19),X_19),multiply(X_58,commutator(multiply(X_19,X_58),X_19)))) = multiply(X_19,multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),commutator(multiply(X_58,X_19),X_19)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_19,multiply(commutator(multiply(X_58,X_19),X_19),multiply(X_58,commutator(multiply(X_19,X_58),X_19)))),multiply(X_19,multiply(commutator(multiply(X_58,X_19),X_19),multiply(X_58,commutator(multiply(X_19,X_58),X_19))))) ),[1,1],$fot(multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),commutator(multiply(X_58,X_19),X_19))))]]) ).
cnf(refute_0_97,plain,
( multiply(commutator(multiply(X_58,X_19),X_19),multiply(X_58,commutator(multiply(X_19,X_58),X_19))) != multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),commutator(multiply(X_58,X_19),X_19)))
| multiply(X_19,multiply(commutator(multiply(X_58,X_19),X_19),multiply(X_58,commutator(multiply(X_19,X_58),X_19)))) = multiply(X_19,multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),commutator(multiply(X_58,X_19),X_19)))) ),
inference(resolve,[$cnf( $equal(multiply(X_19,multiply(commutator(multiply(X_58,X_19),X_19),multiply(X_58,commutator(multiply(X_19,X_58),X_19)))),multiply(X_19,multiply(commutator(multiply(X_58,X_19),X_19),multiply(X_58,commutator(multiply(X_19,X_58),X_19))))) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
multiply(X_19,multiply(commutator(multiply(X_58,X_19),X_19),multiply(X_58,commutator(multiply(X_19,X_58),X_19)))) = multiply(X_19,multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),commutator(multiply(X_58,X_19),X_19)))),
inference(resolve,[$cnf( $equal(multiply(commutator(multiply(X_58,X_19),X_19),multiply(X_58,commutator(multiply(X_19,X_58),X_19))),multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),commutator(multiply(X_58,X_19),X_19)))) )],[refute_0_94,refute_0_97]) ).
cnf(refute_0_99,plain,
multiply(X_42,multiply(commutator(A,B),X_44)) = multiply(commutator(A,B),multiply(X_42,multiply(commutator(X_42,commutator(A,B)),X_44))),
inference(subst,[],[refute_0_76:[bind(A,$fot(X_42)),bind(X_2,$fot(commutator(A,B))),bind(X_4,$fot(X_44))]]) ).
cnf(refute_0_100,plain,
multiply(commutator(A,B),X_44) = multiply(X_44,commutator(A,B)),
inference(subst,[],[nilpotency:[bind(C,$fot(X_44))]]) ).
cnf(refute_0_101,plain,
( multiply(X_42,multiply(commutator(A,B),X_44)) != multiply(commutator(A,B),multiply(X_42,multiply(commutator(X_42,commutator(A,B)),X_44)))
| multiply(commutator(A,B),X_44) != multiply(X_44,commutator(A,B))
| multiply(X_42,multiply(X_44,commutator(A,B))) = multiply(commutator(A,B),multiply(X_42,multiply(commutator(X_42,commutator(A,B)),X_44))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_42,multiply(commutator(A,B),X_44)),multiply(commutator(A,B),multiply(X_42,multiply(commutator(X_42,commutator(A,B)),X_44)))) ),[0,1],$fot(multiply(X_44,commutator(A,B)))]]) ).
cnf(refute_0_102,plain,
( multiply(X_42,multiply(commutator(A,B),X_44)) != multiply(commutator(A,B),multiply(X_42,multiply(commutator(X_42,commutator(A,B)),X_44)))
| multiply(X_42,multiply(X_44,commutator(A,B))) = multiply(commutator(A,B),multiply(X_42,multiply(commutator(X_42,commutator(A,B)),X_44))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(A,B),X_44),multiply(X_44,commutator(A,B))) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
multiply(X_42,multiply(X_44,commutator(A,B))) = multiply(commutator(A,B),multiply(X_42,multiply(commutator(X_42,commutator(A,B)),X_44))),
inference(resolve,[$cnf( $equal(multiply(X_42,multiply(commutator(A,B),X_44)),multiply(commutator(A,B),multiply(X_42,multiply(commutator(X_42,commutator(A,B)),X_44)))) )],[refute_0_99,refute_0_102]) ).
cnf(refute_0_104,plain,
multiply(commutator(A,B),multiply(X_42,multiply(commutator(X_42,commutator(A,B)),X_44))) = multiply(X_42,multiply(commutator(A,B),X_44)),
inference(subst,[],[refute_0_86:[bind(A,$fot(X_42)),bind(X_2,$fot(commutator(A,B))),bind(X_4,$fot(X_44))]]) ).
cnf(refute_0_105,plain,
( multiply(X_42,multiply(X_44,commutator(A,B))) != multiply(commutator(A,B),multiply(X_42,multiply(commutator(X_42,commutator(A,B)),X_44)))
| multiply(commutator(A,B),multiply(X_42,multiply(commutator(X_42,commutator(A,B)),X_44))) != multiply(X_42,multiply(commutator(A,B),X_44))
| multiply(X_42,multiply(X_44,commutator(A,B))) = multiply(X_42,multiply(commutator(A,B),X_44)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_42,multiply(X_44,commutator(A,B))),multiply(X_42,multiply(commutator(A,B),X_44))) ),[0],$fot(multiply(commutator(A,B),multiply(X_42,multiply(commutator(X_42,commutator(A,B)),X_44))))]]) ).
cnf(refute_0_106,plain,
( multiply(X_42,multiply(X_44,commutator(A,B))) != multiply(commutator(A,B),multiply(X_42,multiply(commutator(X_42,commutator(A,B)),X_44)))
| multiply(X_42,multiply(X_44,commutator(A,B))) = multiply(X_42,multiply(commutator(A,B),X_44)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(A,B),multiply(X_42,multiply(commutator(X_42,commutator(A,B)),X_44))),multiply(X_42,multiply(commutator(A,B),X_44))) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
multiply(X_42,multiply(X_44,commutator(A,B))) = multiply(X_42,multiply(commutator(A,B),X_44)),
inference(resolve,[$cnf( $equal(multiply(X_42,multiply(X_44,commutator(A,B))),multiply(commutator(A,B),multiply(X_42,multiply(commutator(X_42,commutator(A,B)),X_44)))) )],[refute_0_103,refute_0_106]) ).
cnf(refute_0_108,plain,
multiply(X_19,multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),commutator(multiply(X_58,X_19),X_19))) = multiply(X_19,multiply(commutator(multiply(X_58,X_19),X_19),multiply(X_58,commutator(multiply(X_19,X_58),X_19)))),
inference(subst,[],[refute_0_107:[bind(A,$fot(multiply(X_58,X_19))),bind(B,$fot(X_19)),bind(X_42,$fot(X_19)),bind(X_44,$fot(multiply(X_58,commutator(multiply(X_19,X_58),X_19))))]]) ).
cnf(refute_0_109,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_110,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_5,refute_0_109]) ).
cnf(refute_0_111,plain,
( multiply(X_19,multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),commutator(multiply(X_58,X_19),X_19))) != multiply(X_19,multiply(commutator(multiply(X_58,X_19),X_19),multiply(X_58,commutator(multiply(X_19,X_58),X_19))))
| multiply(X_19,multiply(commutator(multiply(X_58,X_19),X_19),multiply(X_58,commutator(multiply(X_19,X_58),X_19)))) != multiply(X_19,multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),commutator(multiply(X_58,X_19),X_19))))
| multiply(X_19,multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),commutator(multiply(X_58,X_19),X_19))) = multiply(X_19,multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),commutator(multiply(X_58,X_19),X_19)))) ),
inference(subst,[],[refute_0_110:[bind(X0,$fot(multiply(X_19,multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),commutator(multiply(X_58,X_19),X_19))))),bind(Y0,$fot(multiply(X_19,multiply(commutator(multiply(X_58,X_19),X_19),multiply(X_58,commutator(multiply(X_19,X_58),X_19)))))),bind(Z0,$fot(multiply(X_19,multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),commutator(multiply(X_58,X_19),X_19))))))]]) ).
cnf(refute_0_112,plain,
( multiply(X_19,multiply(commutator(multiply(X_58,X_19),X_19),multiply(X_58,commutator(multiply(X_19,X_58),X_19)))) != multiply(X_19,multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),commutator(multiply(X_58,X_19),X_19))))
| multiply(X_19,multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),commutator(multiply(X_58,X_19),X_19))) = multiply(X_19,multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),commutator(multiply(X_58,X_19),X_19)))) ),
inference(resolve,[$cnf( $equal(multiply(X_19,multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),commutator(multiply(X_58,X_19),X_19))),multiply(X_19,multiply(commutator(multiply(X_58,X_19),X_19),multiply(X_58,commutator(multiply(X_19,X_58),X_19))))) )],[refute_0_108,refute_0_111]) ).
cnf(refute_0_113,plain,
multiply(X_19,multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),commutator(multiply(X_58,X_19),X_19))) = multiply(X_19,multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),commutator(multiply(X_58,X_19),X_19)))),
inference(resolve,[$cnf( $equal(multiply(X_19,multiply(commutator(multiply(X_58,X_19),X_19),multiply(X_58,commutator(multiply(X_19,X_58),X_19)))),multiply(X_19,multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),commutator(multiply(X_58,X_19),X_19))))) )],[refute_0_98,refute_0_112]) ).
cnf(refute_0_114,plain,
( multiply(X_19,multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),commutator(multiply(X_58,X_19),X_19))) != multiply(X_19,multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),commutator(multiply(X_58,X_19),X_19))))
| multiply(X_19,multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),commutator(multiply(X_58,X_19),X_19))) != multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),X_19)
| multiply(X_19,multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),commutator(multiply(X_58,X_19),X_19)))) = multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),X_19) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_19,multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),commutator(multiply(X_58,X_19),X_19))),multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),X_19)) ),[0],$fot(multiply(X_19,multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),commutator(multiply(X_58,X_19),X_19)))))]]) ).
cnf(refute_0_115,plain,
( multiply(X_19,multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),commutator(multiply(X_58,X_19),X_19))) != multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),X_19)
| multiply(X_19,multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),commutator(multiply(X_58,X_19),X_19)))) = multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),X_19) ),
inference(resolve,[$cnf( $equal(multiply(X_19,multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),commutator(multiply(X_58,X_19),X_19))),multiply(X_19,multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),commutator(multiply(X_58,X_19),X_19))))) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
( multiply(X_42,multiply(X_44,commutator(A,B))) != multiply(X_42,multiply(commutator(A,B),X_44))
| multiply(X_42,multiply(commutator(A,B),X_44)) = multiply(X_42,multiply(X_44,commutator(A,B))) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(X_42,multiply(X_44,commutator(A,B))))),bind(Y0,$fot(multiply(X_42,multiply(commutator(A,B),X_44))))]]) ).
cnf(refute_0_117,plain,
multiply(X_42,multiply(commutator(A,B),X_44)) = multiply(X_42,multiply(X_44,commutator(A,B))),
inference(resolve,[$cnf( $equal(multiply(X_42,multiply(X_44,commutator(A,B))),multiply(X_42,multiply(commutator(A,B),X_44))) )],[refute_0_107,refute_0_116]) ).
cnf(refute_0_118,plain,
multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),X_19)) = multiply(X_58,multiply(X_19,commutator(multiply(X_19,X_58),X_19))),
inference(subst,[],[refute_0_117:[bind(A,$fot(multiply(X_19,X_58))),bind(B,$fot(X_19)),bind(X_42,$fot(X_58)),bind(X_44,$fot(X_19))]]) ).
cnf(refute_0_119,plain,
multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),X_19) = multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),X_19)),
inference(subst,[],[associativity_of_multiply:[bind(X,$fot(X_58)),bind(Y,$fot(commutator(multiply(X_19,X_58),X_19))),bind(Z,$fot(X_19))]]) ).
cnf(refute_0_120,plain,
( multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),X_19)) != multiply(X_58,multiply(X_19,commutator(multiply(X_19,X_58),X_19)))
| multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),X_19) != multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),X_19))
| multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),X_19) = multiply(X_58,multiply(X_19,commutator(multiply(X_19,X_58),X_19))) ),
inference(subst,[],[refute_0_110:[bind(X0,$fot(multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),X_19))),bind(Y0,$fot(multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),X_19)))),bind(Z0,$fot(multiply(X_58,multiply(X_19,commutator(multiply(X_19,X_58),X_19)))))]]) ).
cnf(refute_0_121,plain,
( multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),X_19)) != multiply(X_58,multiply(X_19,commutator(multiply(X_19,X_58),X_19)))
| multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),X_19) = multiply(X_58,multiply(X_19,commutator(multiply(X_19,X_58),X_19))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),X_19),multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),X_19))) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),X_19) = multiply(X_58,multiply(X_19,commutator(multiply(X_19,X_58),X_19))),
inference(resolve,[$cnf( $equal(multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),X_19)),multiply(X_58,multiply(X_19,commutator(multiply(X_19,X_58),X_19)))) )],[refute_0_118,refute_0_121]) ).
cnf(refute_0_123,plain,
( multiply(X_19,multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),commutator(multiply(X_58,X_19),X_19)))) != multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),X_19)
| multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),X_19) != multiply(X_58,multiply(X_19,commutator(multiply(X_19,X_58),X_19)))
| multiply(X_19,multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),commutator(multiply(X_58,X_19),X_19)))) = multiply(X_58,multiply(X_19,commutator(multiply(X_19,X_58),X_19))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_19,multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),commutator(multiply(X_58,X_19),X_19)))),multiply(X_58,multiply(X_19,commutator(multiply(X_19,X_58),X_19)))) ),[0],$fot(multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),X_19))]]) ).
cnf(refute_0_124,plain,
( multiply(X_19,multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),commutator(multiply(X_58,X_19),X_19)))) != multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),X_19)
| multiply(X_19,multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),commutator(multiply(X_58,X_19),X_19)))) = multiply(X_58,multiply(X_19,commutator(multiply(X_19,X_58),X_19))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),X_19),multiply(X_58,multiply(X_19,commutator(multiply(X_19,X_58),X_19)))) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
( multiply(X_19,multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),commutator(multiply(X_58,X_19),X_19))) != multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),X_19)
| multiply(X_19,multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),commutator(multiply(X_58,X_19),X_19)))) = multiply(X_58,multiply(X_19,commutator(multiply(X_19,X_58),X_19))) ),
inference(resolve,[$cnf( $equal(multiply(X_19,multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),commutator(multiply(X_58,X_19),X_19)))),multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),X_19)) )],[refute_0_115,refute_0_124]) ).
cnf(refute_0_126,plain,
multiply(X_19,multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),commutator(multiply(X_58,X_19),X_19)))) = multiply(X_58,multiply(X_19,commutator(multiply(X_19,X_58),X_19))),
inference(resolve,[$cnf( $equal(multiply(X_19,multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),commutator(multiply(X_58,X_19),X_19))),multiply(multiply(X_58,commutator(multiply(X_19,X_58),X_19)),X_19)) )],[refute_0_57,refute_0_125]) ).
cnf(refute_0_127,plain,
multiply(X_57,multiply(multiply(A,commutator(A,X_57)),commutator(multiply(X_57,multiply(A,commutator(A,X_57))),X_57))) = multiply(multiply(A,commutator(A,X_57)),X_57),
inference(subst,[],[refute_0_38:[bind(X_19,$fot(X_57)),bind(X_3,$fot(multiply(A,commutator(A,X_57))))]]) ).
cnf(refute_0_128,plain,
multiply(A,X_57) = multiply(X_57,multiply(A,commutator(A,X_57))),
inference(subst,[],[commutator:[bind(B,$fot(X_57))]]) ).
cnf(refute_0_129,plain,
( multiply(A,X_57) != multiply(X_57,multiply(A,commutator(A,X_57)))
| multiply(X_57,multiply(A,commutator(A,X_57))) = multiply(A,X_57) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(A,X_57))),bind(Y0,$fot(multiply(X_57,multiply(A,commutator(A,X_57)))))]]) ).
cnf(refute_0_130,plain,
multiply(X_57,multiply(A,commutator(A,X_57))) = multiply(A,X_57),
inference(resolve,[$cnf( $equal(multiply(A,X_57),multiply(X_57,multiply(A,commutator(A,X_57)))) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
( multiply(X_57,multiply(A,commutator(A,X_57))) != multiply(A,X_57)
| multiply(X_57,multiply(multiply(A,commutator(A,X_57)),commutator(multiply(X_57,multiply(A,commutator(A,X_57))),X_57))) != multiply(multiply(A,commutator(A,X_57)),X_57)
| multiply(X_57,multiply(multiply(A,commutator(A,X_57)),commutator(multiply(A,X_57),X_57))) = multiply(multiply(A,commutator(A,X_57)),X_57) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_57,multiply(multiply(A,commutator(A,X_57)),commutator(multiply(X_57,multiply(A,commutator(A,X_57))),X_57))),multiply(multiply(A,commutator(A,X_57)),X_57)) ),[0,1,1,0],$fot(multiply(A,X_57))]]) ).
cnf(refute_0_132,plain,
( multiply(X_57,multiply(multiply(A,commutator(A,X_57)),commutator(multiply(X_57,multiply(A,commutator(A,X_57))),X_57))) != multiply(multiply(A,commutator(A,X_57)),X_57)
| multiply(X_57,multiply(multiply(A,commutator(A,X_57)),commutator(multiply(A,X_57),X_57))) = multiply(multiply(A,commutator(A,X_57)),X_57) ),
inference(resolve,[$cnf( $equal(multiply(X_57,multiply(A,commutator(A,X_57))),multiply(A,X_57)) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
multiply(X_57,multiply(multiply(A,commutator(A,X_57)),commutator(multiply(A,X_57),X_57))) = multiply(multiply(A,commutator(A,X_57)),X_57),
inference(resolve,[$cnf( $equal(multiply(X_57,multiply(multiply(A,commutator(A,X_57)),commutator(multiply(X_57,multiply(A,commutator(A,X_57))),X_57))),multiply(multiply(A,commutator(A,X_57)),X_57)) )],[refute_0_127,refute_0_132]) ).
cnf(refute_0_134,plain,
multiply(X_57,multiply(A,multiply(commutator(A,X_57),commutator(multiply(A,X_57),X_57)))) = multiply(A,multiply(X_57,commutator(multiply(A,X_57),X_57))),
inference(subst,[],[refute_0_86:[bind(X_2,$fot(X_57)),bind(X_4,$fot(commutator(multiply(A,X_57),X_57)))]]) ).
cnf(refute_0_135,plain,
multiply(multiply(A,commutator(A,X_57)),commutator(multiply(A,X_57),X_57)) = multiply(A,multiply(commutator(A,X_57),commutator(multiply(A,X_57),X_57))),
inference(subst,[],[associativity_of_multiply:[bind(X,$fot(A)),bind(Y,$fot(commutator(A,X_57))),bind(Z,$fot(commutator(multiply(A,X_57),X_57)))]]) ).
cnf(refute_0_136,plain,
multiply(X_57,multiply(multiply(A,commutator(A,X_57)),commutator(multiply(A,X_57),X_57))) = multiply(X_57,multiply(multiply(A,commutator(A,X_57)),commutator(multiply(A,X_57),X_57))),
introduced(tautology,[refl,[$fot(multiply(X_57,multiply(multiply(A,commutator(A,X_57)),commutator(multiply(A,X_57),X_57))))]]) ).
cnf(refute_0_137,plain,
( multiply(X_57,multiply(multiply(A,commutator(A,X_57)),commutator(multiply(A,X_57),X_57))) != multiply(X_57,multiply(multiply(A,commutator(A,X_57)),commutator(multiply(A,X_57),X_57)))
| multiply(multiply(A,commutator(A,X_57)),commutator(multiply(A,X_57),X_57)) != multiply(A,multiply(commutator(A,X_57),commutator(multiply(A,X_57),X_57)))
| multiply(X_57,multiply(multiply(A,commutator(A,X_57)),commutator(multiply(A,X_57),X_57))) = multiply(X_57,multiply(A,multiply(commutator(A,X_57),commutator(multiply(A,X_57),X_57)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_57,multiply(multiply(A,commutator(A,X_57)),commutator(multiply(A,X_57),X_57))),multiply(X_57,multiply(multiply(A,commutator(A,X_57)),commutator(multiply(A,X_57),X_57)))) ),[1,1],$fot(multiply(A,multiply(commutator(A,X_57),commutator(multiply(A,X_57),X_57))))]]) ).
cnf(refute_0_138,plain,
( multiply(multiply(A,commutator(A,X_57)),commutator(multiply(A,X_57),X_57)) != multiply(A,multiply(commutator(A,X_57),commutator(multiply(A,X_57),X_57)))
| multiply(X_57,multiply(multiply(A,commutator(A,X_57)),commutator(multiply(A,X_57),X_57))) = multiply(X_57,multiply(A,multiply(commutator(A,X_57),commutator(multiply(A,X_57),X_57)))) ),
inference(resolve,[$cnf( $equal(multiply(X_57,multiply(multiply(A,commutator(A,X_57)),commutator(multiply(A,X_57),X_57))),multiply(X_57,multiply(multiply(A,commutator(A,X_57)),commutator(multiply(A,X_57),X_57)))) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
multiply(X_57,multiply(multiply(A,commutator(A,X_57)),commutator(multiply(A,X_57),X_57))) = multiply(X_57,multiply(A,multiply(commutator(A,X_57),commutator(multiply(A,X_57),X_57)))),
inference(resolve,[$cnf( $equal(multiply(multiply(A,commutator(A,X_57)),commutator(multiply(A,X_57),X_57)),multiply(A,multiply(commutator(A,X_57),commutator(multiply(A,X_57),X_57)))) )],[refute_0_135,refute_0_138]) ).
cnf(refute_0_140,plain,
( multiply(X_57,multiply(A,multiply(commutator(A,X_57),commutator(multiply(A,X_57),X_57)))) != multiply(A,multiply(X_57,commutator(multiply(A,X_57),X_57)))
| multiply(X_57,multiply(multiply(A,commutator(A,X_57)),commutator(multiply(A,X_57),X_57))) != multiply(X_57,multiply(A,multiply(commutator(A,X_57),commutator(multiply(A,X_57),X_57))))
| multiply(X_57,multiply(multiply(A,commutator(A,X_57)),commutator(multiply(A,X_57),X_57))) = multiply(A,multiply(X_57,commutator(multiply(A,X_57),X_57))) ),
inference(subst,[],[refute_0_110:[bind(X0,$fot(multiply(X_57,multiply(multiply(A,commutator(A,X_57)),commutator(multiply(A,X_57),X_57))))),bind(Y0,$fot(multiply(X_57,multiply(A,multiply(commutator(A,X_57),commutator(multiply(A,X_57),X_57)))))),bind(Z0,$fot(multiply(A,multiply(X_57,commutator(multiply(A,X_57),X_57)))))]]) ).
cnf(refute_0_141,plain,
( multiply(X_57,multiply(A,multiply(commutator(A,X_57),commutator(multiply(A,X_57),X_57)))) != multiply(A,multiply(X_57,commutator(multiply(A,X_57),X_57)))
| multiply(X_57,multiply(multiply(A,commutator(A,X_57)),commutator(multiply(A,X_57),X_57))) = multiply(A,multiply(X_57,commutator(multiply(A,X_57),X_57))) ),
inference(resolve,[$cnf( $equal(multiply(X_57,multiply(multiply(A,commutator(A,X_57)),commutator(multiply(A,X_57),X_57))),multiply(X_57,multiply(A,multiply(commutator(A,X_57),commutator(multiply(A,X_57),X_57))))) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
multiply(X_57,multiply(multiply(A,commutator(A,X_57)),commutator(multiply(A,X_57),X_57))) = multiply(A,multiply(X_57,commutator(multiply(A,X_57),X_57))),
inference(resolve,[$cnf( $equal(multiply(X_57,multiply(A,multiply(commutator(A,X_57),commutator(multiply(A,X_57),X_57)))),multiply(A,multiply(X_57,commutator(multiply(A,X_57),X_57)))) )],[refute_0_134,refute_0_141]) ).
cnf(refute_0_143,plain,
( multiply(X_57,multiply(multiply(A,commutator(A,X_57)),commutator(multiply(A,X_57),X_57))) != multiply(A,multiply(X_57,commutator(multiply(A,X_57),X_57)))
| multiply(X_57,multiply(multiply(A,commutator(A,X_57)),commutator(multiply(A,X_57),X_57))) != multiply(multiply(A,commutator(A,X_57)),X_57)
| multiply(A,multiply(X_57,commutator(multiply(A,X_57),X_57))) = multiply(multiply(A,commutator(A,X_57)),X_57) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_57,multiply(multiply(A,commutator(A,X_57)),commutator(multiply(A,X_57),X_57))),multiply(multiply(A,commutator(A,X_57)),X_57)) ),[0],$fot(multiply(A,multiply(X_57,commutator(multiply(A,X_57),X_57))))]]) ).
cnf(refute_0_144,plain,
( multiply(X_57,multiply(multiply(A,commutator(A,X_57)),commutator(multiply(A,X_57),X_57))) != multiply(multiply(A,commutator(A,X_57)),X_57)
| multiply(A,multiply(X_57,commutator(multiply(A,X_57),X_57))) = multiply(multiply(A,commutator(A,X_57)),X_57) ),
inference(resolve,[$cnf( $equal(multiply(X_57,multiply(multiply(A,commutator(A,X_57)),commutator(multiply(A,X_57),X_57))),multiply(A,multiply(X_57,commutator(multiply(A,X_57),X_57)))) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
multiply(A,multiply(commutator(A,X_57),X_57)) = multiply(A,multiply(X_57,commutator(A,X_57))),
inference(subst,[],[refute_0_117:[bind(B,$fot(X_57)),bind(X_42,$fot(A)),bind(X_44,$fot(X_57))]]) ).
cnf(refute_0_146,plain,
multiply(multiply(A,commutator(A,X_57)),X_57) = multiply(A,multiply(commutator(A,X_57),X_57)),
inference(subst,[],[associativity_of_multiply:[bind(X,$fot(A)),bind(Y,$fot(commutator(A,X_57))),bind(Z,$fot(X_57))]]) ).
cnf(refute_0_147,plain,
( multiply(A,multiply(commutator(A,X_57),X_57)) != multiply(A,multiply(X_57,commutator(A,X_57)))
| multiply(multiply(A,commutator(A,X_57)),X_57) != multiply(A,multiply(commutator(A,X_57),X_57))
| multiply(multiply(A,commutator(A,X_57)),X_57) = multiply(A,multiply(X_57,commutator(A,X_57))) ),
inference(subst,[],[refute_0_110:[bind(X0,$fot(multiply(multiply(A,commutator(A,X_57)),X_57))),bind(Y0,$fot(multiply(A,multiply(commutator(A,X_57),X_57)))),bind(Z0,$fot(multiply(A,multiply(X_57,commutator(A,X_57)))))]]) ).
cnf(refute_0_148,plain,
( multiply(A,multiply(commutator(A,X_57),X_57)) != multiply(A,multiply(X_57,commutator(A,X_57)))
| multiply(multiply(A,commutator(A,X_57)),X_57) = multiply(A,multiply(X_57,commutator(A,X_57))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(A,commutator(A,X_57)),X_57),multiply(A,multiply(commutator(A,X_57),X_57))) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
multiply(multiply(A,commutator(A,X_57)),X_57) = multiply(A,multiply(X_57,commutator(A,X_57))),
inference(resolve,[$cnf( $equal(multiply(A,multiply(commutator(A,X_57),X_57)),multiply(A,multiply(X_57,commutator(A,X_57)))) )],[refute_0_145,refute_0_148]) ).
cnf(refute_0_150,plain,
( multiply(A,multiply(X_57,commutator(multiply(A,X_57),X_57))) != multiply(multiply(A,commutator(A,X_57)),X_57)
| multiply(multiply(A,commutator(A,X_57)),X_57) != multiply(A,multiply(X_57,commutator(A,X_57)))
| multiply(A,multiply(X_57,commutator(multiply(A,X_57),X_57))) = multiply(A,multiply(X_57,commutator(A,X_57))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,multiply(X_57,commutator(multiply(A,X_57),X_57))),multiply(A,multiply(X_57,commutator(A,X_57)))) ),[0],$fot(multiply(multiply(A,commutator(A,X_57)),X_57))]]) ).
cnf(refute_0_151,plain,
( multiply(A,multiply(X_57,commutator(multiply(A,X_57),X_57))) != multiply(multiply(A,commutator(A,X_57)),X_57)
| multiply(A,multiply(X_57,commutator(multiply(A,X_57),X_57))) = multiply(A,multiply(X_57,commutator(A,X_57))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(A,commutator(A,X_57)),X_57),multiply(A,multiply(X_57,commutator(A,X_57)))) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
( multiply(X_57,multiply(multiply(A,commutator(A,X_57)),commutator(multiply(A,X_57),X_57))) != multiply(multiply(A,commutator(A,X_57)),X_57)
| multiply(A,multiply(X_57,commutator(multiply(A,X_57),X_57))) = multiply(A,multiply(X_57,commutator(A,X_57))) ),
inference(resolve,[$cnf( $equal(multiply(A,multiply(X_57,commutator(multiply(A,X_57),X_57))),multiply(multiply(A,commutator(A,X_57)),X_57)) )],[refute_0_144,refute_0_151]) ).
cnf(refute_0_153,plain,
multiply(A,multiply(X_57,commutator(multiply(A,X_57),X_57))) = multiply(A,multiply(X_57,commutator(A,X_57))),
inference(resolve,[$cnf( $equal(multiply(X_57,multiply(multiply(A,commutator(A,X_57)),commutator(multiply(A,X_57),X_57))),multiply(multiply(A,commutator(A,X_57)),X_57)) )],[refute_0_133,refute_0_152]) ).
cnf(refute_0_154,plain,
multiply(X_58,multiply(X_19,commutator(multiply(X_58,X_19),X_19))) = multiply(X_58,multiply(X_19,commutator(X_58,X_19))),
inference(subst,[],[refute_0_153:[bind(A,$fot(X_58)),bind(X_57,$fot(X_19))]]) ).
cnf(refute_0_155,plain,
multiply(multiply(X,multiply(X_58,commutator(multiply(X,X_58),X))),Z) = multiply(X,multiply(multiply(X_58,commutator(multiply(X,X_58),X)),Z)),
inference(subst,[],[associativity_of_multiply:[bind(Y,$fot(multiply(X_58,commutator(multiply(X,X_58),X))))]]) ).
cnf(refute_0_156,plain,
multiply(X,multiply(X_58,commutator(multiply(X,X_58),X))) = multiply(X_58,X),
inference(subst,[],[refute_0_38:[bind(X_19,$fot(X)),bind(X_3,$fot(X_58))]]) ).
cnf(refute_0_157,plain,
( multiply(X,multiply(X_58,commutator(multiply(X,X_58),X))) != multiply(X_58,X)
| multiply(multiply(X,multiply(X_58,commutator(multiply(X,X_58),X))),Z) != multiply(X,multiply(multiply(X_58,commutator(multiply(X,X_58),X)),Z))
| multiply(multiply(X_58,X),Z) = multiply(X,multiply(multiply(X_58,commutator(multiply(X,X_58),X)),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X,multiply(X_58,commutator(multiply(X,X_58),X))),Z),multiply(X,multiply(multiply(X_58,commutator(multiply(X,X_58),X)),Z))) ),[0,0],$fot(multiply(X_58,X))]]) ).
cnf(refute_0_158,plain,
( multiply(multiply(X,multiply(X_58,commutator(multiply(X,X_58),X))),Z) != multiply(X,multiply(multiply(X_58,commutator(multiply(X,X_58),X)),Z))
| multiply(multiply(X_58,X),Z) = multiply(X,multiply(multiply(X_58,commutator(multiply(X,X_58),X)),Z)) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_58,commutator(multiply(X,X_58),X))),multiply(X_58,X)) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
multiply(multiply(X_58,X),Z) = multiply(X,multiply(multiply(X_58,commutator(multiply(X,X_58),X)),Z)),
inference(resolve,[$cnf( $equal(multiply(multiply(X,multiply(X_58,commutator(multiply(X,X_58),X))),Z),multiply(X,multiply(multiply(X_58,commutator(multiply(X,X_58),X)),Z))) )],[refute_0_155,refute_0_158]) ).
cnf(refute_0_160,plain,
multiply(multiply(X_58,X),Z) = multiply(X_58,multiply(X,Z)),
inference(subst,[],[associativity_of_multiply:[bind(X,$fot(X_58)),bind(Y,$fot(X))]]) ).
cnf(refute_0_161,plain,
( multiply(multiply(X_58,X),Z) != multiply(X,multiply(multiply(X_58,commutator(multiply(X,X_58),X)),Z))
| multiply(multiply(X_58,X),Z) != multiply(X_58,multiply(X,Z))
| multiply(X_58,multiply(X,Z)) = multiply(X,multiply(multiply(X_58,commutator(multiply(X,X_58),X)),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_58,X),Z),multiply(X,multiply(multiply(X_58,commutator(multiply(X,X_58),X)),Z))) ),[0],$fot(multiply(X_58,multiply(X,Z)))]]) ).
cnf(refute_0_162,plain,
( multiply(multiply(X_58,X),Z) != multiply(X,multiply(multiply(X_58,commutator(multiply(X,X_58),X)),Z))
| multiply(X_58,multiply(X,Z)) = multiply(X,multiply(multiply(X_58,commutator(multiply(X,X_58),X)),Z)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_58,X),Z),multiply(X_58,multiply(X,Z))) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
multiply(multiply(X_58,commutator(multiply(X,X_58),X)),Z) = multiply(X_58,multiply(commutator(multiply(X,X_58),X),Z)),
inference(subst,[],[associativity_of_multiply:[bind(X,$fot(X_58)),bind(Y,$fot(commutator(multiply(X,X_58),X)))]]) ).
cnf(refute_0_164,plain,
multiply(X,multiply(multiply(X_58,commutator(multiply(X,X_58),X)),Z)) = multiply(X,multiply(multiply(X_58,commutator(multiply(X,X_58),X)),Z)),
introduced(tautology,[refl,[$fot(multiply(X,multiply(multiply(X_58,commutator(multiply(X,X_58),X)),Z)))]]) ).
cnf(refute_0_165,plain,
( multiply(X,multiply(multiply(X_58,commutator(multiply(X,X_58),X)),Z)) != multiply(X,multiply(multiply(X_58,commutator(multiply(X,X_58),X)),Z))
| multiply(multiply(X_58,commutator(multiply(X,X_58),X)),Z) != multiply(X_58,multiply(commutator(multiply(X,X_58),X),Z))
| multiply(X,multiply(multiply(X_58,commutator(multiply(X,X_58),X)),Z)) = multiply(X,multiply(X_58,multiply(commutator(multiply(X,X_58),X),Z))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(multiply(X_58,commutator(multiply(X,X_58),X)),Z)),multiply(X,multiply(multiply(X_58,commutator(multiply(X,X_58),X)),Z))) ),[1,1],$fot(multiply(X_58,multiply(commutator(multiply(X,X_58),X),Z)))]]) ).
cnf(refute_0_166,plain,
( multiply(multiply(X_58,commutator(multiply(X,X_58),X)),Z) != multiply(X_58,multiply(commutator(multiply(X,X_58),X),Z))
| multiply(X,multiply(multiply(X_58,commutator(multiply(X,X_58),X)),Z)) = multiply(X,multiply(X_58,multiply(commutator(multiply(X,X_58),X),Z))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(X_58,commutator(multiply(X,X_58),X)),Z)),multiply(X,multiply(multiply(X_58,commutator(multiply(X,X_58),X)),Z))) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
multiply(X,multiply(multiply(X_58,commutator(multiply(X,X_58),X)),Z)) = multiply(X,multiply(X_58,multiply(commutator(multiply(X,X_58),X),Z))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_58,commutator(multiply(X,X_58),X)),Z),multiply(X_58,multiply(commutator(multiply(X,X_58),X),Z))) )],[refute_0_163,refute_0_166]) ).
cnf(refute_0_168,plain,
( multiply(X,multiply(multiply(X_58,commutator(multiply(X,X_58),X)),Z)) != multiply(X,multiply(X_58,multiply(commutator(multiply(X,X_58),X),Z)))
| multiply(X_58,multiply(X,Z)) != multiply(X,multiply(multiply(X_58,commutator(multiply(X,X_58),X)),Z))
| multiply(X_58,multiply(X,Z)) = multiply(X,multiply(X_58,multiply(commutator(multiply(X,X_58),X),Z))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_58,multiply(X,Z)),multiply(X,multiply(multiply(X_58,commutator(multiply(X,X_58),X)),Z))) ),[1],$fot(multiply(X,multiply(X_58,multiply(commutator(multiply(X,X_58),X),Z))))]]) ).
cnf(refute_0_169,plain,
( multiply(X_58,multiply(X,Z)) != multiply(X,multiply(multiply(X_58,commutator(multiply(X,X_58),X)),Z))
| multiply(X_58,multiply(X,Z)) = multiply(X,multiply(X_58,multiply(commutator(multiply(X,X_58),X),Z))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(X_58,commutator(multiply(X,X_58),X)),Z)),multiply(X,multiply(X_58,multiply(commutator(multiply(X,X_58),X),Z)))) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
( multiply(multiply(X_58,X),Z) != multiply(X,multiply(multiply(X_58,commutator(multiply(X,X_58),X)),Z))
| multiply(X_58,multiply(X,Z)) = multiply(X,multiply(X_58,multiply(commutator(multiply(X,X_58),X),Z))) ),
inference(resolve,[$cnf( $equal(multiply(X_58,multiply(X,Z)),multiply(X,multiply(multiply(X_58,commutator(multiply(X,X_58),X)),Z))) )],[refute_0_162,refute_0_169]) ).
cnf(refute_0_171,plain,
multiply(X_58,multiply(X,Z)) = multiply(X,multiply(X_58,multiply(commutator(multiply(X,X_58),X),Z))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_58,X),Z),multiply(X,multiply(multiply(X_58,commutator(multiply(X,X_58),X)),Z))) )],[refute_0_159,refute_0_170]) ).
cnf(refute_0_172,plain,
( multiply(X_58,multiply(X,Z)) != multiply(X,multiply(X_58,multiply(commutator(multiply(X,X_58),X),Z)))
| multiply(X,multiply(X_58,multiply(commutator(multiply(X,X_58),X),Z))) = multiply(X_58,multiply(X,Z)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(X_58,multiply(X,Z)))),bind(Y0,$fot(multiply(X,multiply(X_58,multiply(commutator(multiply(X,X_58),X),Z)))))]]) ).
cnf(refute_0_173,plain,
multiply(X,multiply(X_58,multiply(commutator(multiply(X,X_58),X),Z))) = multiply(X_58,multiply(X,Z)),
inference(resolve,[$cnf( $equal(multiply(X_58,multiply(X,Z)),multiply(X,multiply(X_58,multiply(commutator(multiply(X,X_58),X),Z)))) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
multiply(X_19,multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),commutator(multiply(X_58,X_19),X_19)))) = multiply(X_58,multiply(X_19,commutator(multiply(X_58,X_19),X_19))),
inference(subst,[],[refute_0_173:[bind(X,$fot(X_19)),bind(Z,$fot(commutator(multiply(X_58,X_19),X_19)))]]) ).
cnf(refute_0_175,plain,
( multiply(X_19,multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),commutator(multiply(X_58,X_19),X_19)))) != multiply(X_58,multiply(X_19,commutator(multiply(X_58,X_19),X_19)))
| multiply(X_58,multiply(X_19,commutator(multiply(X_58,X_19),X_19))) != multiply(X_58,multiply(X_19,commutator(X_58,X_19)))
| multiply(X_19,multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),commutator(multiply(X_58,X_19),X_19)))) = multiply(X_58,multiply(X_19,commutator(X_58,X_19))) ),
inference(subst,[],[refute_0_110:[bind(X0,$fot(multiply(X_19,multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),commutator(multiply(X_58,X_19),X_19)))))),bind(Y0,$fot(multiply(X_58,multiply(X_19,commutator(multiply(X_58,X_19),X_19))))),bind(Z0,$fot(multiply(X_58,multiply(X_19,commutator(X_58,X_19)))))]]) ).
cnf(refute_0_176,plain,
( multiply(X_58,multiply(X_19,commutator(multiply(X_58,X_19),X_19))) != multiply(X_58,multiply(X_19,commutator(X_58,X_19)))
| multiply(X_19,multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),commutator(multiply(X_58,X_19),X_19)))) = multiply(X_58,multiply(X_19,commutator(X_58,X_19))) ),
inference(resolve,[$cnf( $equal(multiply(X_19,multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),commutator(multiply(X_58,X_19),X_19)))),multiply(X_58,multiply(X_19,commutator(multiply(X_58,X_19),X_19)))) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
multiply(X_19,multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),commutator(multiply(X_58,X_19),X_19)))) = multiply(X_58,multiply(X_19,commutator(X_58,X_19))),
inference(resolve,[$cnf( $equal(multiply(X_58,multiply(X_19,commutator(multiply(X_58,X_19),X_19))),multiply(X_58,multiply(X_19,commutator(X_58,X_19)))) )],[refute_0_154,refute_0_176]) ).
cnf(refute_0_178,plain,
( multiply(X_19,multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),commutator(multiply(X_58,X_19),X_19)))) != multiply(X_58,multiply(X_19,commutator(X_58,X_19)))
| multiply(X_19,multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),commutator(multiply(X_58,X_19),X_19)))) != multiply(X_58,multiply(X_19,commutator(multiply(X_19,X_58),X_19)))
| multiply(X_58,multiply(X_19,commutator(X_58,X_19))) = multiply(X_58,multiply(X_19,commutator(multiply(X_19,X_58),X_19))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_19,multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),commutator(multiply(X_58,X_19),X_19)))),multiply(X_58,multiply(X_19,commutator(multiply(X_19,X_58),X_19)))) ),[0],$fot(multiply(X_58,multiply(X_19,commutator(X_58,X_19))))]]) ).
cnf(refute_0_179,plain,
( multiply(X_19,multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),commutator(multiply(X_58,X_19),X_19)))) != multiply(X_58,multiply(X_19,commutator(multiply(X_19,X_58),X_19)))
| multiply(X_58,multiply(X_19,commutator(X_58,X_19))) = multiply(X_58,multiply(X_19,commutator(multiply(X_19,X_58),X_19))) ),
inference(resolve,[$cnf( $equal(multiply(X_19,multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),commutator(multiply(X_58,X_19),X_19)))),multiply(X_58,multiply(X_19,commutator(X_58,X_19)))) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
multiply(X_58,multiply(X_19,commutator(X_58,X_19))) = multiply(X_58,multiply(X_19,commutator(multiply(X_19,X_58),X_19))),
inference(resolve,[$cnf( $equal(multiply(X_19,multiply(X_58,multiply(commutator(multiply(X_19,X_58),X_19),commutator(multiply(X_58,X_19),X_19)))),multiply(X_58,multiply(X_19,commutator(multiply(X_19,X_58),X_19)))) )],[refute_0_126,refute_0_179]) ).
cnf(refute_0_181,plain,
( multiply(X_58,multiply(X_19,commutator(X_58,X_19))) != multiply(X_58,multiply(X_19,commutator(multiply(X_19,X_58),X_19)))
| multiply(X_58,multiply(X_19,commutator(multiply(X_19,X_58),X_19))) = multiply(X_58,multiply(X_19,commutator(X_58,X_19))) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(X_58,multiply(X_19,commutator(X_58,X_19))))),bind(Y0,$fot(multiply(X_58,multiply(X_19,commutator(multiply(X_19,X_58),X_19)))))]]) ).
cnf(refute_0_182,plain,
multiply(X_58,multiply(X_19,commutator(multiply(X_19,X_58),X_19))) = multiply(X_58,multiply(X_19,commutator(X_58,X_19))),
inference(resolve,[$cnf( $equal(multiply(X_58,multiply(X_19,commutator(X_58,X_19))),multiply(X_58,multiply(X_19,commutator(multiply(X_19,X_58),X_19)))) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
multiply(commutator(X_137,X_138),multiply(X_19,commutator(multiply(X_19,commutator(X_137,X_138)),X_19))) = multiply(commutator(X_137,X_138),multiply(X_19,commutator(commutator(X_137,X_138),X_19))),
inference(subst,[],[refute_0_182:[bind(X_58,$fot(commutator(X_137,X_138)))]]) ).
cnf(refute_0_184,plain,
( multiply(commutator(X_137,X_138),multiply(X_19,commutator(multiply(X_19,commutator(X_137,X_138)),X_19))) != multiply(commutator(X_137,X_138),X_19)
| multiply(commutator(X_137,X_138),multiply(X_19,commutator(multiply(X_19,commutator(X_137,X_138)),X_19))) != multiply(commutator(X_137,X_138),multiply(X_19,commutator(commutator(X_137,X_138),X_19)))
| multiply(commutator(X_137,X_138),multiply(X_19,commutator(commutator(X_137,X_138),X_19))) = multiply(commutator(X_137,X_138),X_19) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_137,X_138),multiply(X_19,commutator(multiply(X_19,commutator(X_137,X_138)),X_19))),multiply(commutator(X_137,X_138),X_19)) ),[0],$fot(multiply(commutator(X_137,X_138),multiply(X_19,commutator(commutator(X_137,X_138),X_19))))]]) ).
cnf(refute_0_185,plain,
( multiply(commutator(X_137,X_138),multiply(X_19,commutator(multiply(X_19,commutator(X_137,X_138)),X_19))) != multiply(commutator(X_137,X_138),X_19)
| multiply(commutator(X_137,X_138),multiply(X_19,commutator(commutator(X_137,X_138),X_19))) = multiply(commutator(X_137,X_138),X_19) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_137,X_138),multiply(X_19,commutator(multiply(X_19,commutator(X_137,X_138)),X_19))),multiply(commutator(X_137,X_138),multiply(X_19,commutator(commutator(X_137,X_138),X_19)))) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
multiply(commutator(X_137,X_138),multiply(X_19,commutator(commutator(X_137,X_138),X_19))) = multiply(commutator(X_137,X_138),X_19),
inference(resolve,[$cnf( $equal(multiply(commutator(X_137,X_138),multiply(X_19,commutator(multiply(X_19,commutator(X_137,X_138)),X_19))),multiply(commutator(X_137,X_138),X_19)) )],[refute_0_52,refute_0_185]) ).
cnf(refute_0_187,plain,
multiply(commutator(X_165,X_166),multiply(X_167,commutator(commutator(X_165,X_166),X_167))) = multiply(commutator(X_165,X_166),X_167),
inference(subst,[],[refute_0_186:[bind(X_137,$fot(X_165)),bind(X_138,$fot(X_166)),bind(X_19,$fot(X_167))]]) ).
cnf(refute_0_188,plain,
( multiply(commutator(X_165,X_166),B) != multiply(commutator(X_165,X_166),X_167)
| multiply(commutator(X_165,X_166),multiply(X_167,commutator(commutator(X_165,X_166),X_167))) != multiply(commutator(X_165,X_166),X_167)
| multiply(commutator(X_165,X_166),B) = multiply(commutator(X_165,X_166),multiply(X_167,commutator(commutator(X_165,X_166),X_167))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(commutator(X_165,X_166),B),multiply(commutator(X_165,X_166),multiply(X_167,commutator(commutator(X_165,X_166),X_167)))) ),[1],$fot(multiply(commutator(X_165,X_166),X_167))]]) ).
cnf(refute_0_189,plain,
( multiply(commutator(X_165,X_166),B) != multiply(commutator(X_165,X_166),X_167)
| multiply(commutator(X_165,X_166),B) = multiply(commutator(X_165,X_166),multiply(X_167,commutator(commutator(X_165,X_166),X_167))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_165,X_166),multiply(X_167,commutator(commutator(X_165,X_166),X_167))),multiply(commutator(X_165,X_166),X_167)) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
( multiply(commutator(X_165,X_166),B) != multiply(commutator(X_165,X_166),X_167)
| B = multiply(X_167,commutator(commutator(X_165,X_166),X_167)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_165,X_166),B),multiply(commutator(X_165,X_166),multiply(X_167,commutator(commutator(X_165,X_166),X_167)))) )],[refute_0_189,refute_0_19]) ).
cnf(refute_0_191,plain,
( multiply(commutator(X_165,X_166),X_167) != multiply(commutator(X_165,X_166),X_167)
| X_167 = multiply(X_167,commutator(commutator(X_165,X_166),X_167)) ),
inference(subst,[],[refute_0_190:[bind(B,$fot(X_167))]]) ).
cnf(refute_0_192,plain,
multiply(commutator(X_165,X_166),X_167) = multiply(commutator(X_165,X_166),X_167),
introduced(tautology,[refl,[$fot(multiply(commutator(X_165,X_166),X_167))]]) ).
cnf(refute_0_193,plain,
X_167 = multiply(X_167,commutator(commutator(X_165,X_166),X_167)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_165,X_166),X_167),multiply(commutator(X_165,X_166),X_167)) )],[refute_0_192,refute_0_191]) ).
cnf(refute_0_194,plain,
X_242 = multiply(X_242,commutator(commutator(X_165,X_166),X_242)),
inference(subst,[],[refute_0_193:[bind(X_167,$fot(X_242))]]) ).
cnf(refute_0_195,plain,
( X_242 != multiply(X_242,commutator(commutator(X_165,X_166),X_242))
| multiply(X_242,commutator(commutator(X_165,X_166),X_242)) = X_242 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(X_242)),bind(Y0,$fot(multiply(X_242,commutator(commutator(X_165,X_166),X_242))))]]) ).
cnf(refute_0_196,plain,
multiply(X_242,commutator(commutator(X_165,X_166),X_242)) = X_242,
inference(resolve,[$cnf( $equal(X_242,multiply(X_242,commutator(commutator(X_165,X_166),X_242))) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
( X_242 != X_242
| multiply(X_242,commutator(commutator(X_165,X_166),X_242)) != X_242
| multiply(X_242,commutator(commutator(X_165,X_166),X_242)) = X_242 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_242,commutator(commutator(X_165,X_166),X_242)),X_242) ),[0,0],$fot(X_242)]]) ).
cnf(refute_0_198,plain,
( X_242 != X_242
| multiply(X_242,commutator(commutator(X_165,X_166),X_242)) = X_242 ),
inference(resolve,[$cnf( $equal(multiply(X_242,commutator(commutator(X_165,X_166),X_242)),X_242) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
( X_242 != X_242
| commutator(commutator(X_165,X_166),X_242) = commutator(X_242,X_242) ),
inference(resolve,[$cnf( $equal(multiply(X_242,commutator(commutator(X_165,X_166),X_242)),X_242) )],[refute_0_198,refute_0_18]) ).
cnf(refute_0_200,plain,
X_242 = X_242,
introduced(tautology,[refl,[$fot(X_242)]]) ).
cnf(refute_0_201,plain,
commutator(commutator(X_165,X_166),X_242) = commutator(X_242,X_242),
inference(resolve,[$cnf( $equal(X_242,X_242) )],[refute_0_200,refute_0_199]) ).
cnf(refute_0_202,plain,
commutator(commutator(a,b),c) = commutator(c,c),
inference(subst,[],[refute_0_201:[bind(X_165,$fot(a)),bind(X_166,$fot(b)),bind(X_242,$fot(c))]]) ).
cnf(refute_0_203,plain,
( commutator(c,c) != commutator(a,commutator(b,c))
| commutator(commutator(a,b),c) != commutator(c,c)
| commutator(commutator(a,b),c) = commutator(a,commutator(b,c)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(a,b),c),commutator(c,c)) ),[1],$fot(commutator(a,commutator(b,c)))]]) ).
cnf(refute_0_204,plain,
( commutator(c,c) != commutator(a,commutator(b,c))
| commutator(commutator(a,b),c) = commutator(a,commutator(b,c)) ),
inference(resolve,[$cnf( $equal(commutator(commutator(a,b),c),commutator(c,c)) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
commutator(c,c) != commutator(a,commutator(b,c)),
inference(resolve,[$cnf( $equal(commutator(commutator(a,b),c),commutator(a,commutator(b,c))) )],[refute_0_204,prove_commutator_is_associative]) ).
cnf(refute_0_206,plain,
( multiply(X_242,multiply(commutator(A,X_242),commutator(X_242,multiply(A,X_242)))) != X_242
| multiply(commutator(A,X_242),commutator(X_242,multiply(A,X_242))) = commutator(X_242,X_242) ),
inference(subst,[],[refute_0_17:[bind(A,$fot(X_242)),bind(B,$fot(multiply(commutator(A,X_242),commutator(X_242,multiply(A,X_242)))))]]) ).
cnf(refute_0_207,plain,
( multiply(A,B) != multiply(A,multiply(X_69,multiply(commutator(A,X_69),commutator(X_69,multiply(A,X_69)))))
| B = multiply(X_69,multiply(commutator(A,X_69),commutator(X_69,multiply(A,X_69)))) ),
inference(subst,[],[left_cancellation:[bind(C,$fot(multiply(X_69,multiply(commutator(A,X_69),commutator(X_69,multiply(A,X_69))))))]]) ).
cnf(refute_0_208,plain,
( multiply(X_19,multiply(X_3,multiply(A,commutator(A,multiply(X_19,X_3))))) != multiply(X_19,X_21)
| multiply(X_3,multiply(A,commutator(A,multiply(X_19,X_3)))) = X_21 ),
inference(subst,[],[left_cancellation:[bind(A,$fot(X_19)),bind(B,$fot(multiply(X_3,multiply(A,commutator(A,multiply(X_19,X_3)))))),bind(C,$fot(X_21))]]) ).
cnf(refute_0_209,plain,
multiply(A,multiply(X_2,X_3)) = multiply(multiply(X_2,X_3),multiply(A,commutator(A,multiply(X_2,X_3)))),
inference(subst,[],[commutator:[bind(B,$fot(multiply(X_2,X_3)))]]) ).
cnf(refute_0_210,plain,
multiply(multiply(X_2,X_3),multiply(A,commutator(A,multiply(X_2,X_3)))) = multiply(X_2,multiply(X_3,multiply(A,commutator(A,multiply(X_2,X_3))))),
inference(subst,[],[associativity_of_multiply:[bind(X,$fot(X_2)),bind(Y,$fot(X_3)),bind(Z,$fot(multiply(A,commutator(A,multiply(X_2,X_3)))))]]) ).
cnf(refute_0_211,plain,
( multiply(A,multiply(X_2,X_3)) != multiply(multiply(X_2,X_3),multiply(A,commutator(A,multiply(X_2,X_3))))
| multiply(multiply(X_2,X_3),multiply(A,commutator(A,multiply(X_2,X_3)))) != multiply(X_2,multiply(X_3,multiply(A,commutator(A,multiply(X_2,X_3)))))
| multiply(A,multiply(X_2,X_3)) = multiply(X_2,multiply(X_3,multiply(A,commutator(A,multiply(X_2,X_3))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,multiply(X_2,X_3)),multiply(X_2,multiply(X_3,multiply(A,commutator(A,multiply(X_2,X_3)))))) ),[0],$fot(multiply(multiply(X_2,X_3),multiply(A,commutator(A,multiply(X_2,X_3)))))]]) ).
cnf(refute_0_212,plain,
( multiply(A,multiply(X_2,X_3)) != multiply(multiply(X_2,X_3),multiply(A,commutator(A,multiply(X_2,X_3))))
| multiply(A,multiply(X_2,X_3)) = multiply(X_2,multiply(X_3,multiply(A,commutator(A,multiply(X_2,X_3))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_2,X_3),multiply(A,commutator(A,multiply(X_2,X_3)))),multiply(X_2,multiply(X_3,multiply(A,commutator(A,multiply(X_2,X_3)))))) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
multiply(A,multiply(X_2,X_3)) = multiply(X_2,multiply(X_3,multiply(A,commutator(A,multiply(X_2,X_3))))),
inference(resolve,[$cnf( $equal(multiply(A,multiply(X_2,X_3)),multiply(multiply(X_2,X_3),multiply(A,commutator(A,multiply(X_2,X_3))))) )],[refute_0_209,refute_0_212]) ).
cnf(refute_0_214,plain,
multiply(A,multiply(X_19,X_3)) = multiply(X_19,multiply(X_3,multiply(A,commutator(A,multiply(X_19,X_3))))),
inference(subst,[],[refute_0_213:[bind(X_2,$fot(X_19))]]) ).
cnf(refute_0_215,plain,
( multiply(A,multiply(X_19,X_3)) != multiply(X_19,multiply(X_3,multiply(A,commutator(A,multiply(X_19,X_3)))))
| multiply(X_19,multiply(X_3,multiply(A,commutator(A,multiply(X_19,X_3))))) = multiply(A,multiply(X_19,X_3)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(A,multiply(X_19,X_3)))),bind(Y0,$fot(multiply(X_19,multiply(X_3,multiply(A,commutator(A,multiply(X_19,X_3)))))))]]) ).
cnf(refute_0_216,plain,
multiply(X_19,multiply(X_3,multiply(A,commutator(A,multiply(X_19,X_3))))) = multiply(A,multiply(X_19,X_3)),
inference(resolve,[$cnf( $equal(multiply(A,multiply(X_19,X_3)),multiply(X_19,multiply(X_3,multiply(A,commutator(A,multiply(X_19,X_3)))))) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
( multiply(A,multiply(X_19,X_3)) != multiply(X_19,X_21)
| multiply(X_19,multiply(X_3,multiply(A,commutator(A,multiply(X_19,X_3))))) != multiply(A,multiply(X_19,X_3))
| multiply(X_19,multiply(X_3,multiply(A,commutator(A,multiply(X_19,X_3))))) = multiply(X_19,X_21) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_19,multiply(X_3,multiply(A,commutator(A,multiply(X_19,X_3))))),multiply(A,multiply(X_19,X_3))) ),[1],$fot(multiply(X_19,X_21))]]) ).
cnf(refute_0_218,plain,
( multiply(A,multiply(X_19,X_3)) != multiply(X_19,X_21)
| multiply(X_19,multiply(X_3,multiply(A,commutator(A,multiply(X_19,X_3))))) = multiply(X_19,X_21) ),
inference(resolve,[$cnf( $equal(multiply(X_19,multiply(X_3,multiply(A,commutator(A,multiply(X_19,X_3))))),multiply(A,multiply(X_19,X_3))) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
( multiply(A,multiply(X_19,X_3)) != multiply(X_19,X_21)
| multiply(X_3,multiply(A,commutator(A,multiply(X_19,X_3)))) = X_21 ),
inference(resolve,[$cnf( $equal(multiply(X_19,multiply(X_3,multiply(A,commutator(A,multiply(X_19,X_3))))),multiply(X_19,X_21)) )],[refute_0_218,refute_0_208]) ).
cnf(refute_0_220,plain,
( multiply(X_19,multiply(X_19,X_3)) != multiply(X_19,multiply(X_19,X_3))
| multiply(X_3,multiply(X_19,commutator(X_19,multiply(X_19,X_3)))) = multiply(X_19,X_3) ),
inference(subst,[],[refute_0_219:[bind(A,$fot(X_19)),bind(X_21,$fot(multiply(X_19,X_3)))]]) ).
cnf(refute_0_221,plain,
multiply(X_19,multiply(X_19,X_3)) = multiply(X_19,multiply(X_19,X_3)),
introduced(tautology,[refl,[$fot(multiply(X_19,multiply(X_19,X_3)))]]) ).
cnf(refute_0_222,plain,
multiply(X_3,multiply(X_19,commutator(X_19,multiply(X_19,X_3)))) = multiply(X_19,X_3),
inference(resolve,[$cnf( $equal(multiply(X_19,multiply(X_19,X_3)),multiply(X_19,multiply(X_19,X_3))) )],[refute_0_221,refute_0_220]) ).
cnf(refute_0_223,plain,
multiply(multiply(A,commutator(A,X_24)),multiply(X_24,commutator(X_24,multiply(X_24,multiply(A,commutator(A,X_24)))))) = multiply(X_24,multiply(A,commutator(A,X_24))),
inference(subst,[],[refute_0_222:[bind(X_19,$fot(X_24)),bind(X_3,$fot(multiply(A,commutator(A,X_24))))]]) ).
cnf(refute_0_224,plain,
multiply(A,X_24) = multiply(X_24,multiply(A,commutator(A,X_24))),
inference(subst,[],[commutator:[bind(B,$fot(X_24))]]) ).
cnf(refute_0_225,plain,
( multiply(A,X_24) != multiply(X_24,multiply(A,commutator(A,X_24)))
| multiply(X_24,multiply(A,commutator(A,X_24))) = multiply(A,X_24) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(A,X_24))),bind(Y0,$fot(multiply(X_24,multiply(A,commutator(A,X_24)))))]]) ).
cnf(refute_0_226,plain,
multiply(X_24,multiply(A,commutator(A,X_24))) = multiply(A,X_24),
inference(resolve,[$cnf( $equal(multiply(A,X_24),multiply(X_24,multiply(A,commutator(A,X_24)))) )],[refute_0_224,refute_0_225]) ).
cnf(refute_0_227,plain,
( multiply(X_24,multiply(A,commutator(A,X_24))) != multiply(A,X_24)
| multiply(multiply(A,commutator(A,X_24)),multiply(X_24,commutator(X_24,multiply(X_24,multiply(A,commutator(A,X_24)))))) != multiply(X_24,multiply(A,commutator(A,X_24)))
| multiply(multiply(A,commutator(A,X_24)),multiply(X_24,commutator(X_24,multiply(A,X_24)))) = multiply(X_24,multiply(A,commutator(A,X_24))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,commutator(A,X_24)),multiply(X_24,commutator(X_24,multiply(X_24,multiply(A,commutator(A,X_24)))))),multiply(X_24,multiply(A,commutator(A,X_24)))) ),[0,1,1,1],$fot(multiply(A,X_24))]]) ).
cnf(refute_0_228,plain,
( multiply(multiply(A,commutator(A,X_24)),multiply(X_24,commutator(X_24,multiply(X_24,multiply(A,commutator(A,X_24)))))) != multiply(X_24,multiply(A,commutator(A,X_24)))
| multiply(multiply(A,commutator(A,X_24)),multiply(X_24,commutator(X_24,multiply(A,X_24)))) = multiply(X_24,multiply(A,commutator(A,X_24))) ),
inference(resolve,[$cnf( $equal(multiply(X_24,multiply(A,commutator(A,X_24))),multiply(A,X_24)) )],[refute_0_226,refute_0_227]) ).
cnf(refute_0_229,plain,
multiply(multiply(A,commutator(A,X_24)),multiply(X_24,commutator(X_24,multiply(A,X_24)))) = multiply(X_24,multiply(A,commutator(A,X_24))),
inference(resolve,[$cnf( $equal(multiply(multiply(A,commutator(A,X_24)),multiply(X_24,commutator(X_24,multiply(X_24,multiply(A,commutator(A,X_24)))))),multiply(X_24,multiply(A,commutator(A,X_24)))) )],[refute_0_223,refute_0_228]) ).
cnf(refute_0_230,plain,
multiply(X_13,multiply(commutator(A,B),X_15)) = multiply(commutator(A,B),multiply(X_15,multiply(X_13,commutator(X_13,multiply(commutator(A,B),X_15))))),
inference(subst,[],[refute_0_213:[bind(A,$fot(X_13)),bind(X_2,$fot(commutator(A,B))),bind(X_3,$fot(X_15))]]) ).
cnf(refute_0_231,plain,
multiply(commutator(A,B),X_15) = multiply(X_15,commutator(A,B)),
inference(subst,[],[nilpotency:[bind(C,$fot(X_15))]]) ).
cnf(refute_0_232,plain,
( multiply(X_13,multiply(commutator(A,B),X_15)) != multiply(commutator(A,B),multiply(X_15,multiply(X_13,commutator(X_13,multiply(commutator(A,B),X_15)))))
| multiply(commutator(A,B),X_15) != multiply(X_15,commutator(A,B))
| multiply(X_13,multiply(X_15,commutator(A,B))) = multiply(commutator(A,B),multiply(X_15,multiply(X_13,commutator(X_13,multiply(commutator(A,B),X_15))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_13,multiply(commutator(A,B),X_15)),multiply(commutator(A,B),multiply(X_15,multiply(X_13,commutator(X_13,multiply(commutator(A,B),X_15)))))) ),[0,1],$fot(multiply(X_15,commutator(A,B)))]]) ).
cnf(refute_0_233,plain,
( multiply(X_13,multiply(commutator(A,B),X_15)) != multiply(commutator(A,B),multiply(X_15,multiply(X_13,commutator(X_13,multiply(commutator(A,B),X_15)))))
| multiply(X_13,multiply(X_15,commutator(A,B))) = multiply(commutator(A,B),multiply(X_15,multiply(X_13,commutator(X_13,multiply(commutator(A,B),X_15))))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(A,B),X_15),multiply(X_15,commutator(A,B))) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
multiply(X_13,multiply(X_15,commutator(A,B))) = multiply(commutator(A,B),multiply(X_15,multiply(X_13,commutator(X_13,multiply(commutator(A,B),X_15))))),
inference(resolve,[$cnf( $equal(multiply(X_13,multiply(commutator(A,B),X_15)),multiply(commutator(A,B),multiply(X_15,multiply(X_13,commutator(X_13,multiply(commutator(A,B),X_15)))))) )],[refute_0_230,refute_0_233]) ).
cnf(refute_0_235,plain,
( multiply(A,multiply(X_2,X_3)) != multiply(X_2,multiply(X_3,multiply(A,commutator(A,multiply(X_2,X_3)))))
| multiply(X_2,multiply(X_3,multiply(A,commutator(A,multiply(X_2,X_3))))) = multiply(A,multiply(X_2,X_3)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(A,multiply(X_2,X_3)))),bind(Y0,$fot(multiply(X_2,multiply(X_3,multiply(A,commutator(A,multiply(X_2,X_3)))))))]]) ).
cnf(refute_0_236,plain,
multiply(X_2,multiply(X_3,multiply(A,commutator(A,multiply(X_2,X_3))))) = multiply(A,multiply(X_2,X_3)),
inference(resolve,[$cnf( $equal(multiply(A,multiply(X_2,X_3)),multiply(X_2,multiply(X_3,multiply(A,commutator(A,multiply(X_2,X_3)))))) )],[refute_0_213,refute_0_235]) ).
cnf(refute_0_237,plain,
multiply(commutator(A,B),multiply(X_15,multiply(X_13,commutator(X_13,multiply(commutator(A,B),X_15))))) = multiply(X_13,multiply(commutator(A,B),X_15)),
inference(subst,[],[refute_0_236:[bind(A,$fot(X_13)),bind(X_2,$fot(commutator(A,B))),bind(X_3,$fot(X_15))]]) ).
cnf(refute_0_238,plain,
( multiply(X_13,multiply(X_15,commutator(A,B))) != multiply(commutator(A,B),multiply(X_15,multiply(X_13,commutator(X_13,multiply(commutator(A,B),X_15)))))
| multiply(commutator(A,B),multiply(X_15,multiply(X_13,commutator(X_13,multiply(commutator(A,B),X_15))))) != multiply(X_13,multiply(commutator(A,B),X_15))
| multiply(X_13,multiply(X_15,commutator(A,B))) = multiply(X_13,multiply(commutator(A,B),X_15)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_13,multiply(X_15,commutator(A,B))),multiply(X_13,multiply(commutator(A,B),X_15))) ),[0],$fot(multiply(commutator(A,B),multiply(X_15,multiply(X_13,commutator(X_13,multiply(commutator(A,B),X_15))))))]]) ).
cnf(refute_0_239,plain,
( multiply(X_13,multiply(X_15,commutator(A,B))) != multiply(commutator(A,B),multiply(X_15,multiply(X_13,commutator(X_13,multiply(commutator(A,B),X_15)))))
| multiply(X_13,multiply(X_15,commutator(A,B))) = multiply(X_13,multiply(commutator(A,B),X_15)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(A,B),multiply(X_15,multiply(X_13,commutator(X_13,multiply(commutator(A,B),X_15))))),multiply(X_13,multiply(commutator(A,B),X_15))) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
multiply(X_13,multiply(X_15,commutator(A,B))) = multiply(X_13,multiply(commutator(A,B),X_15)),
inference(resolve,[$cnf( $equal(multiply(X_13,multiply(X_15,commutator(A,B))),multiply(commutator(A,B),multiply(X_15,multiply(X_13,commutator(X_13,multiply(commutator(A,B),X_15)))))) )],[refute_0_234,refute_0_239]) ).
cnf(refute_0_241,plain,
multiply(X_24,multiply(commutator(X_24,multiply(A,X_24)),commutator(A,X_24))) = multiply(X_24,multiply(commutator(A,X_24),commutator(X_24,multiply(A,X_24)))),
inference(subst,[],[refute_0_240:[bind(B,$fot(X_24)),bind(X_13,$fot(X_24)),bind(X_15,$fot(commutator(X_24,multiply(A,X_24))))]]) ).
cnf(refute_0_242,plain,
multiply(commutator(A,B),multiply(X_14,X_15)) = multiply(X_14,multiply(X_15,multiply(commutator(A,B),commutator(commutator(A,B),multiply(X_14,X_15))))),
inference(subst,[],[refute_0_213:[bind(A,$fot(commutator(A,B))),bind(X_2,$fot(X_14)),bind(X_3,$fot(X_15))]]) ).
cnf(refute_0_243,plain,
multiply(commutator(A,B),multiply(X_14,X_15)) = multiply(multiply(X_14,X_15),commutator(A,B)),
inference(subst,[],[nilpotency:[bind(C,$fot(multiply(X_14,X_15)))]]) ).
cnf(refute_0_244,plain,
( multiply(commutator(A,B),multiply(X_14,X_15)) != multiply(X_14,multiply(X_15,multiply(commutator(A,B),commutator(commutator(A,B),multiply(X_14,X_15)))))
| multiply(commutator(A,B),multiply(X_14,X_15)) != multiply(multiply(X_14,X_15),commutator(A,B))
| multiply(multiply(X_14,X_15),commutator(A,B)) = multiply(X_14,multiply(X_15,multiply(commutator(A,B),commutator(commutator(A,B),multiply(X_14,X_15))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(A,B),multiply(X_14,X_15)),multiply(X_14,multiply(X_15,multiply(commutator(A,B),commutator(commutator(A,B),multiply(X_14,X_15)))))) ),[0],$fot(multiply(multiply(X_14,X_15),commutator(A,B)))]]) ).
cnf(refute_0_245,plain,
( multiply(commutator(A,B),multiply(X_14,X_15)) != multiply(X_14,multiply(X_15,multiply(commutator(A,B),commutator(commutator(A,B),multiply(X_14,X_15)))))
| multiply(multiply(X_14,X_15),commutator(A,B)) = multiply(X_14,multiply(X_15,multiply(commutator(A,B),commutator(commutator(A,B),multiply(X_14,X_15))))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(A,B),multiply(X_14,X_15)),multiply(multiply(X_14,X_15),commutator(A,B))) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
multiply(multiply(X_14,X_15),commutator(A,B)) = multiply(X_14,multiply(X_15,multiply(commutator(A,B),commutator(commutator(A,B),multiply(X_14,X_15))))),
inference(resolve,[$cnf( $equal(multiply(commutator(A,B),multiply(X_14,X_15)),multiply(X_14,multiply(X_15,multiply(commutator(A,B),commutator(commutator(A,B),multiply(X_14,X_15)))))) )],[refute_0_242,refute_0_245]) ).
cnf(refute_0_247,plain,
multiply(multiply(X_14,X_15),commutator(A,B)) = multiply(X_14,multiply(X_15,commutator(A,B))),
inference(subst,[],[associativity_of_multiply:[bind(X,$fot(X_14)),bind(Y,$fot(X_15)),bind(Z,$fot(commutator(A,B)))]]) ).
cnf(refute_0_248,plain,
( multiply(multiply(X_14,X_15),commutator(A,B)) != multiply(X_14,multiply(X_15,multiply(commutator(A,B),commutator(commutator(A,B),multiply(X_14,X_15)))))
| multiply(multiply(X_14,X_15),commutator(A,B)) != multiply(X_14,multiply(X_15,commutator(A,B)))
| multiply(X_14,multiply(X_15,commutator(A,B))) = multiply(X_14,multiply(X_15,multiply(commutator(A,B),commutator(commutator(A,B),multiply(X_14,X_15))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_14,X_15),commutator(A,B)),multiply(X_14,multiply(X_15,multiply(commutator(A,B),commutator(commutator(A,B),multiply(X_14,X_15)))))) ),[0],$fot(multiply(X_14,multiply(X_15,commutator(A,B))))]]) ).
cnf(refute_0_249,plain,
( multiply(multiply(X_14,X_15),commutator(A,B)) != multiply(X_14,multiply(X_15,multiply(commutator(A,B),commutator(commutator(A,B),multiply(X_14,X_15)))))
| multiply(X_14,multiply(X_15,commutator(A,B))) = multiply(X_14,multiply(X_15,multiply(commutator(A,B),commutator(commutator(A,B),multiply(X_14,X_15))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_14,X_15),commutator(A,B)),multiply(X_14,multiply(X_15,commutator(A,B)))) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
multiply(X_14,multiply(X_15,multiply(commutator(A,B),commutator(commutator(A,B),multiply(X_14,X_15))))) = multiply(commutator(A,B),multiply(X_14,X_15)),
inference(subst,[],[refute_0_236:[bind(A,$fot(commutator(A,B))),bind(X_2,$fot(X_14)),bind(X_3,$fot(X_15))]]) ).
cnf(refute_0_251,plain,
( multiply(X_14,multiply(X_15,multiply(commutator(A,B),commutator(commutator(A,B),multiply(X_14,X_15))))) != multiply(commutator(A,B),multiply(X_14,X_15))
| multiply(X_14,multiply(X_15,commutator(A,B))) != multiply(X_14,multiply(X_15,multiply(commutator(A,B),commutator(commutator(A,B),multiply(X_14,X_15)))))
| multiply(X_14,multiply(X_15,commutator(A,B))) = multiply(commutator(A,B),multiply(X_14,X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_14,multiply(X_15,commutator(A,B))),multiply(X_14,multiply(X_15,multiply(commutator(A,B),commutator(commutator(A,B),multiply(X_14,X_15)))))) ),[1],$fot(multiply(commutator(A,B),multiply(X_14,X_15)))]]) ).
cnf(refute_0_252,plain,
( multiply(X_14,multiply(X_15,commutator(A,B))) != multiply(X_14,multiply(X_15,multiply(commutator(A,B),commutator(commutator(A,B),multiply(X_14,X_15)))))
| multiply(X_14,multiply(X_15,commutator(A,B))) = multiply(commutator(A,B),multiply(X_14,X_15)) ),
inference(resolve,[$cnf( $equal(multiply(X_14,multiply(X_15,multiply(commutator(A,B),commutator(commutator(A,B),multiply(X_14,X_15))))),multiply(commutator(A,B),multiply(X_14,X_15))) )],[refute_0_250,refute_0_251]) ).
cnf(refute_0_253,plain,
( multiply(multiply(X_14,X_15),commutator(A,B)) != multiply(X_14,multiply(X_15,multiply(commutator(A,B),commutator(commutator(A,B),multiply(X_14,X_15)))))
| multiply(X_14,multiply(X_15,commutator(A,B))) = multiply(commutator(A,B),multiply(X_14,X_15)) ),
inference(resolve,[$cnf( $equal(multiply(X_14,multiply(X_15,commutator(A,B))),multiply(X_14,multiply(X_15,multiply(commutator(A,B),commutator(commutator(A,B),multiply(X_14,X_15)))))) )],[refute_0_249,refute_0_252]) ).
cnf(refute_0_254,plain,
multiply(X_14,multiply(X_15,commutator(A,B))) = multiply(commutator(A,B),multiply(X_14,X_15)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_14,X_15),commutator(A,B)),multiply(X_14,multiply(X_15,multiply(commutator(A,B),commutator(commutator(A,B),multiply(X_14,X_15)))))) )],[refute_0_246,refute_0_253]) ).
cnf(refute_0_255,plain,
( multiply(X_14,multiply(X_15,commutator(A,B))) != multiply(commutator(A,B),multiply(X_14,X_15))
| multiply(commutator(A,B),multiply(X_14,X_15)) = multiply(X_14,multiply(X_15,commutator(A,B))) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(X_14,multiply(X_15,commutator(A,B))))),bind(Y0,$fot(multiply(commutator(A,B),multiply(X_14,X_15))))]]) ).
cnf(refute_0_256,plain,
multiply(commutator(A,B),multiply(X_14,X_15)) = multiply(X_14,multiply(X_15,commutator(A,B))),
inference(resolve,[$cnf( $equal(multiply(X_14,multiply(X_15,commutator(A,B))),multiply(commutator(A,B),multiply(X_14,X_15))) )],[refute_0_254,refute_0_255]) ).
cnf(refute_0_257,plain,
multiply(commutator(A,X_24),multiply(X_24,commutator(X_24,multiply(A,X_24)))) = multiply(X_24,multiply(commutator(X_24,multiply(A,X_24)),commutator(A,X_24))),
inference(subst,[],[refute_0_256:[bind(B,$fot(X_24)),bind(X_14,$fot(X_24)),bind(X_15,$fot(commutator(X_24,multiply(A,X_24))))]]) ).
cnf(refute_0_258,plain,
( multiply(X_24,multiply(commutator(X_24,multiply(A,X_24)),commutator(A,X_24))) != multiply(X_24,multiply(commutator(A,X_24),commutator(X_24,multiply(A,X_24))))
| multiply(commutator(A,X_24),multiply(X_24,commutator(X_24,multiply(A,X_24)))) != multiply(X_24,multiply(commutator(X_24,multiply(A,X_24)),commutator(A,X_24)))
| multiply(commutator(A,X_24),multiply(X_24,commutator(X_24,multiply(A,X_24)))) = multiply(X_24,multiply(commutator(A,X_24),commutator(X_24,multiply(A,X_24)))) ),
inference(subst,[],[refute_0_110:[bind(X0,$fot(multiply(commutator(A,X_24),multiply(X_24,commutator(X_24,multiply(A,X_24)))))),bind(Y0,$fot(multiply(X_24,multiply(commutator(X_24,multiply(A,X_24)),commutator(A,X_24))))),bind(Z0,$fot(multiply(X_24,multiply(commutator(A,X_24),commutator(X_24,multiply(A,X_24))))))]]) ).
cnf(refute_0_259,plain,
( multiply(X_24,multiply(commutator(X_24,multiply(A,X_24)),commutator(A,X_24))) != multiply(X_24,multiply(commutator(A,X_24),commutator(X_24,multiply(A,X_24))))
| multiply(commutator(A,X_24),multiply(X_24,commutator(X_24,multiply(A,X_24)))) = multiply(X_24,multiply(commutator(A,X_24),commutator(X_24,multiply(A,X_24)))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(A,X_24),multiply(X_24,commutator(X_24,multiply(A,X_24)))),multiply(X_24,multiply(commutator(X_24,multiply(A,X_24)),commutator(A,X_24)))) )],[refute_0_257,refute_0_258]) ).
cnf(refute_0_260,plain,
multiply(commutator(A,X_24),multiply(X_24,commutator(X_24,multiply(A,X_24)))) = multiply(X_24,multiply(commutator(A,X_24),commutator(X_24,multiply(A,X_24)))),
inference(resolve,[$cnf( $equal(multiply(X_24,multiply(commutator(X_24,multiply(A,X_24)),commutator(A,X_24))),multiply(X_24,multiply(commutator(A,X_24),commutator(X_24,multiply(A,X_24))))) )],[refute_0_241,refute_0_259]) ).
cnf(refute_0_261,plain,
multiply(A,multiply(commutator(A,X_24),multiply(X_24,commutator(X_24,multiply(A,X_24))))) = multiply(A,multiply(commutator(A,X_24),multiply(X_24,commutator(X_24,multiply(A,X_24))))),
introduced(tautology,[refl,[$fot(multiply(A,multiply(commutator(A,X_24),multiply(X_24,commutator(X_24,multiply(A,X_24))))))]]) ).
cnf(refute_0_262,plain,
( multiply(A,multiply(commutator(A,X_24),multiply(X_24,commutator(X_24,multiply(A,X_24))))) != multiply(A,multiply(commutator(A,X_24),multiply(X_24,commutator(X_24,multiply(A,X_24)))))
| multiply(commutator(A,X_24),multiply(X_24,commutator(X_24,multiply(A,X_24)))) != multiply(X_24,multiply(commutator(A,X_24),commutator(X_24,multiply(A,X_24))))
| multiply(A,multiply(commutator(A,X_24),multiply(X_24,commutator(X_24,multiply(A,X_24))))) = multiply(A,multiply(X_24,multiply(commutator(A,X_24),commutator(X_24,multiply(A,X_24))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,multiply(commutator(A,X_24),multiply(X_24,commutator(X_24,multiply(A,X_24))))),multiply(A,multiply(commutator(A,X_24),multiply(X_24,commutator(X_24,multiply(A,X_24)))))) ),[1,1],$fot(multiply(X_24,multiply(commutator(A,X_24),commutator(X_24,multiply(A,X_24)))))]]) ).
cnf(refute_0_263,plain,
( multiply(commutator(A,X_24),multiply(X_24,commutator(X_24,multiply(A,X_24)))) != multiply(X_24,multiply(commutator(A,X_24),commutator(X_24,multiply(A,X_24))))
| multiply(A,multiply(commutator(A,X_24),multiply(X_24,commutator(X_24,multiply(A,X_24))))) = multiply(A,multiply(X_24,multiply(commutator(A,X_24),commutator(X_24,multiply(A,X_24))))) ),
inference(resolve,[$cnf( $equal(multiply(A,multiply(commutator(A,X_24),multiply(X_24,commutator(X_24,multiply(A,X_24))))),multiply(A,multiply(commutator(A,X_24),multiply(X_24,commutator(X_24,multiply(A,X_24)))))) )],[refute_0_261,refute_0_262]) ).
cnf(refute_0_264,plain,
multiply(A,multiply(commutator(A,X_24),multiply(X_24,commutator(X_24,multiply(A,X_24))))) = multiply(A,multiply(X_24,multiply(commutator(A,X_24),commutator(X_24,multiply(A,X_24))))),
inference(resolve,[$cnf( $equal(multiply(commutator(A,X_24),multiply(X_24,commutator(X_24,multiply(A,X_24)))),multiply(X_24,multiply(commutator(A,X_24),commutator(X_24,multiply(A,X_24))))) )],[refute_0_260,refute_0_263]) ).
cnf(refute_0_265,plain,
multiply(multiply(A,commutator(A,X_24)),multiply(X_24,commutator(X_24,multiply(A,X_24)))) = multiply(A,multiply(commutator(A,X_24),multiply(X_24,commutator(X_24,multiply(A,X_24))))),
inference(subst,[],[associativity_of_multiply:[bind(X,$fot(A)),bind(Y,$fot(commutator(A,X_24))),bind(Z,$fot(multiply(X_24,commutator(X_24,multiply(A,X_24)))))]]) ).
cnf(refute_0_266,plain,
( multiply(A,multiply(commutator(A,X_24),multiply(X_24,commutator(X_24,multiply(A,X_24))))) != multiply(A,multiply(X_24,multiply(commutator(A,X_24),commutator(X_24,multiply(A,X_24)))))
| multiply(multiply(A,commutator(A,X_24)),multiply(X_24,commutator(X_24,multiply(A,X_24)))) != multiply(A,multiply(commutator(A,X_24),multiply(X_24,commutator(X_24,multiply(A,X_24)))))
| multiply(multiply(A,commutator(A,X_24)),multiply(X_24,commutator(X_24,multiply(A,X_24)))) = multiply(A,multiply(X_24,multiply(commutator(A,X_24),commutator(X_24,multiply(A,X_24))))) ),
inference(subst,[],[refute_0_110:[bind(X0,$fot(multiply(multiply(A,commutator(A,X_24)),multiply(X_24,commutator(X_24,multiply(A,X_24)))))),bind(Y0,$fot(multiply(A,multiply(commutator(A,X_24),multiply(X_24,commutator(X_24,multiply(A,X_24))))))),bind(Z0,$fot(multiply(A,multiply(X_24,multiply(commutator(A,X_24),commutator(X_24,multiply(A,X_24)))))))]]) ).
cnf(refute_0_267,plain,
( multiply(A,multiply(commutator(A,X_24),multiply(X_24,commutator(X_24,multiply(A,X_24))))) != multiply(A,multiply(X_24,multiply(commutator(A,X_24),commutator(X_24,multiply(A,X_24)))))
| multiply(multiply(A,commutator(A,X_24)),multiply(X_24,commutator(X_24,multiply(A,X_24)))) = multiply(A,multiply(X_24,multiply(commutator(A,X_24),commutator(X_24,multiply(A,X_24))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(A,commutator(A,X_24)),multiply(X_24,commutator(X_24,multiply(A,X_24)))),multiply(A,multiply(commutator(A,X_24),multiply(X_24,commutator(X_24,multiply(A,X_24)))))) )],[refute_0_265,refute_0_266]) ).
cnf(refute_0_268,plain,
multiply(multiply(A,commutator(A,X_24)),multiply(X_24,commutator(X_24,multiply(A,X_24)))) = multiply(A,multiply(X_24,multiply(commutator(A,X_24),commutator(X_24,multiply(A,X_24))))),
inference(resolve,[$cnf( $equal(multiply(A,multiply(commutator(A,X_24),multiply(X_24,commutator(X_24,multiply(A,X_24))))),multiply(A,multiply(X_24,multiply(commutator(A,X_24),commutator(X_24,multiply(A,X_24)))))) )],[refute_0_264,refute_0_267]) ).
cnf(refute_0_269,plain,
( multiply(multiply(A,commutator(A,X_24)),multiply(X_24,commutator(X_24,multiply(A,X_24)))) != multiply(A,multiply(X_24,multiply(commutator(A,X_24),commutator(X_24,multiply(A,X_24)))))
| multiply(multiply(A,commutator(A,X_24)),multiply(X_24,commutator(X_24,multiply(A,X_24)))) != multiply(X_24,multiply(A,commutator(A,X_24)))
| multiply(A,multiply(X_24,multiply(commutator(A,X_24),commutator(X_24,multiply(A,X_24))))) = multiply(X_24,multiply(A,commutator(A,X_24))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,commutator(A,X_24)),multiply(X_24,commutator(X_24,multiply(A,X_24)))),multiply(X_24,multiply(A,commutator(A,X_24)))) ),[0],$fot(multiply(A,multiply(X_24,multiply(commutator(A,X_24),commutator(X_24,multiply(A,X_24))))))]]) ).
cnf(refute_0_270,plain,
( multiply(multiply(A,commutator(A,X_24)),multiply(X_24,commutator(X_24,multiply(A,X_24)))) != multiply(X_24,multiply(A,commutator(A,X_24)))
| multiply(A,multiply(X_24,multiply(commutator(A,X_24),commutator(X_24,multiply(A,X_24))))) = multiply(X_24,multiply(A,commutator(A,X_24))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(A,commutator(A,X_24)),multiply(X_24,commutator(X_24,multiply(A,X_24)))),multiply(A,multiply(X_24,multiply(commutator(A,X_24),commutator(X_24,multiply(A,X_24)))))) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
( multiply(A,multiply(X_24,multiply(commutator(A,X_24),commutator(X_24,multiply(A,X_24))))) != multiply(X_24,multiply(A,commutator(A,X_24)))
| multiply(X_24,multiply(A,commutator(A,X_24))) != multiply(A,X_24)
| multiply(A,multiply(X_24,multiply(commutator(A,X_24),commutator(X_24,multiply(A,X_24))))) = multiply(A,X_24) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,multiply(X_24,multiply(commutator(A,X_24),commutator(X_24,multiply(A,X_24))))),multiply(A,X_24)) ),[0],$fot(multiply(X_24,multiply(A,commutator(A,X_24))))]]) ).
cnf(refute_0_272,plain,
( multiply(A,multiply(X_24,multiply(commutator(A,X_24),commutator(X_24,multiply(A,X_24))))) != multiply(X_24,multiply(A,commutator(A,X_24)))
| multiply(A,multiply(X_24,multiply(commutator(A,X_24),commutator(X_24,multiply(A,X_24))))) = multiply(A,X_24) ),
inference(resolve,[$cnf( $equal(multiply(X_24,multiply(A,commutator(A,X_24))),multiply(A,X_24)) )],[refute_0_226,refute_0_271]) ).
cnf(refute_0_273,plain,
( multiply(multiply(A,commutator(A,X_24)),multiply(X_24,commutator(X_24,multiply(A,X_24)))) != multiply(X_24,multiply(A,commutator(A,X_24)))
| multiply(A,multiply(X_24,multiply(commutator(A,X_24),commutator(X_24,multiply(A,X_24))))) = multiply(A,X_24) ),
inference(resolve,[$cnf( $equal(multiply(A,multiply(X_24,multiply(commutator(A,X_24),commutator(X_24,multiply(A,X_24))))),multiply(X_24,multiply(A,commutator(A,X_24)))) )],[refute_0_270,refute_0_272]) ).
cnf(refute_0_274,plain,
multiply(A,multiply(X_24,multiply(commutator(A,X_24),commutator(X_24,multiply(A,X_24))))) = multiply(A,X_24),
inference(resolve,[$cnf( $equal(multiply(multiply(A,commutator(A,X_24)),multiply(X_24,commutator(X_24,multiply(A,X_24)))),multiply(X_24,multiply(A,commutator(A,X_24)))) )],[refute_0_229,refute_0_273]) ).
cnf(refute_0_275,plain,
multiply(A,multiply(X_69,multiply(commutator(A,X_69),commutator(X_69,multiply(A,X_69))))) = multiply(A,X_69),
inference(subst,[],[refute_0_274:[bind(X_24,$fot(X_69))]]) ).
cnf(refute_0_276,plain,
( multiply(A,B) != multiply(A,X_69)
| multiply(A,multiply(X_69,multiply(commutator(A,X_69),commutator(X_69,multiply(A,X_69))))) != multiply(A,X_69)
| multiply(A,B) = multiply(A,multiply(X_69,multiply(commutator(A,X_69),commutator(X_69,multiply(A,X_69))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,B),multiply(A,multiply(X_69,multiply(commutator(A,X_69),commutator(X_69,multiply(A,X_69)))))) ),[1],$fot(multiply(A,X_69))]]) ).
cnf(refute_0_277,plain,
( multiply(A,B) != multiply(A,X_69)
| multiply(A,B) = multiply(A,multiply(X_69,multiply(commutator(A,X_69),commutator(X_69,multiply(A,X_69))))) ),
inference(resolve,[$cnf( $equal(multiply(A,multiply(X_69,multiply(commutator(A,X_69),commutator(X_69,multiply(A,X_69))))),multiply(A,X_69)) )],[refute_0_275,refute_0_276]) ).
cnf(refute_0_278,plain,
( multiply(A,B) != multiply(A,X_69)
| B = multiply(X_69,multiply(commutator(A,X_69),commutator(X_69,multiply(A,X_69)))) ),
inference(resolve,[$cnf( $equal(multiply(A,B),multiply(A,multiply(X_69,multiply(commutator(A,X_69),commutator(X_69,multiply(A,X_69)))))) )],[refute_0_277,refute_0_207]) ).
cnf(refute_0_279,plain,
( multiply(A,X_69) != multiply(A,X_69)
| X_69 = multiply(X_69,multiply(commutator(A,X_69),commutator(X_69,multiply(A,X_69)))) ),
inference(subst,[],[refute_0_278:[bind(B,$fot(X_69))]]) ).
cnf(refute_0_280,plain,
multiply(A,X_69) = multiply(A,X_69),
introduced(tautology,[refl,[$fot(multiply(A,X_69))]]) ).
cnf(refute_0_281,plain,
X_69 = multiply(X_69,multiply(commutator(A,X_69),commutator(X_69,multiply(A,X_69)))),
inference(resolve,[$cnf( $equal(multiply(A,X_69),multiply(A,X_69)) )],[refute_0_280,refute_0_279]) ).
cnf(refute_0_282,plain,
X_242 = multiply(X_242,multiply(commutator(A,X_242),commutator(X_242,multiply(A,X_242)))),
inference(subst,[],[refute_0_281:[bind(X_69,$fot(X_242))]]) ).
cnf(refute_0_283,plain,
( X_242 != multiply(X_242,multiply(commutator(A,X_242),commutator(X_242,multiply(A,X_242))))
| multiply(X_242,multiply(commutator(A,X_242),commutator(X_242,multiply(A,X_242)))) = X_242 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(X_242)),bind(Y0,$fot(multiply(X_242,multiply(commutator(A,X_242),commutator(X_242,multiply(A,X_242))))))]]) ).
cnf(refute_0_284,plain,
multiply(X_242,multiply(commutator(A,X_242),commutator(X_242,multiply(A,X_242)))) = X_242,
inference(resolve,[$cnf( $equal(X_242,multiply(X_242,multiply(commutator(A,X_242),commutator(X_242,multiply(A,X_242))))) )],[refute_0_282,refute_0_283]) ).
cnf(refute_0_285,plain,
( X_242 != X_242
| multiply(X_242,multiply(commutator(A,X_242),commutator(X_242,multiply(A,X_242)))) != X_242
| multiply(X_242,multiply(commutator(A,X_242),commutator(X_242,multiply(A,X_242)))) = X_242 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_242,multiply(commutator(A,X_242),commutator(X_242,multiply(A,X_242)))),X_242) ),[0,0],$fot(X_242)]]) ).
cnf(refute_0_286,plain,
( X_242 != X_242
| multiply(X_242,multiply(commutator(A,X_242),commutator(X_242,multiply(A,X_242)))) = X_242 ),
inference(resolve,[$cnf( $equal(multiply(X_242,multiply(commutator(A,X_242),commutator(X_242,multiply(A,X_242)))),X_242) )],[refute_0_284,refute_0_285]) ).
cnf(refute_0_287,plain,
( X_242 != X_242
| multiply(commutator(A,X_242),commutator(X_242,multiply(A,X_242))) = commutator(X_242,X_242) ),
inference(resolve,[$cnf( $equal(multiply(X_242,multiply(commutator(A,X_242),commutator(X_242,multiply(A,X_242)))),X_242) )],[refute_0_286,refute_0_206]) ).
cnf(refute_0_288,plain,
multiply(commutator(A,X_242),commutator(X_242,multiply(A,X_242))) = commutator(X_242,X_242),
inference(resolve,[$cnf( $equal(X_242,X_242) )],[refute_0_200,refute_0_287]) ).
cnf(refute_0_289,plain,
multiply(commutator(X_265,commutator(A,B)),commutator(commutator(A,B),multiply(X_265,commutator(A,B)))) = commutator(commutator(A,B),commutator(A,B)),
inference(subst,[],[refute_0_288:[bind(A,$fot(X_265)),bind(X_242,$fot(commutator(A,B)))]]) ).
cnf(refute_0_290,plain,
multiply(commutator(A,B),X_265) = multiply(X_265,commutator(A,B)),
inference(subst,[],[nilpotency:[bind(C,$fot(X_265))]]) ).
cnf(refute_0_291,plain,
( multiply(commutator(A,B),X_265) != multiply(X_265,commutator(A,B))
| multiply(X_265,commutator(A,B)) = multiply(commutator(A,B),X_265) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(commutator(A,B),X_265))),bind(Y0,$fot(multiply(X_265,commutator(A,B))))]]) ).
cnf(refute_0_292,plain,
multiply(X_265,commutator(A,B)) = multiply(commutator(A,B),X_265),
inference(resolve,[$cnf( $equal(multiply(commutator(A,B),X_265),multiply(X_265,commutator(A,B))) )],[refute_0_290,refute_0_291]) ).
cnf(refute_0_293,plain,
( multiply(X_265,commutator(A,B)) != multiply(commutator(A,B),X_265)
| multiply(commutator(X_265,commutator(A,B)),commutator(commutator(A,B),multiply(X_265,commutator(A,B)))) != commutator(commutator(A,B),commutator(A,B))
| multiply(commutator(X_265,commutator(A,B)),commutator(commutator(A,B),multiply(commutator(A,B),X_265))) = commutator(commutator(A,B),commutator(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_265,commutator(A,B)),commutator(commutator(A,B),multiply(X_265,commutator(A,B)))),commutator(commutator(A,B),commutator(A,B))) ),[0,1,1],$fot(multiply(commutator(A,B),X_265))]]) ).
cnf(refute_0_294,plain,
( multiply(commutator(X_265,commutator(A,B)),commutator(commutator(A,B),multiply(X_265,commutator(A,B)))) != commutator(commutator(A,B),commutator(A,B))
| multiply(commutator(X_265,commutator(A,B)),commutator(commutator(A,B),multiply(commutator(A,B),X_265))) = commutator(commutator(A,B),commutator(A,B)) ),
inference(resolve,[$cnf( $equal(multiply(X_265,commutator(A,B)),multiply(commutator(A,B),X_265)) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
multiply(commutator(X_265,commutator(A,B)),commutator(commutator(A,B),multiply(commutator(A,B),X_265))) = commutator(commutator(A,B),commutator(A,B)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_265,commutator(A,B)),commutator(commutator(A,B),multiply(X_265,commutator(A,B)))),commutator(commutator(A,B),commutator(A,B))) )],[refute_0_289,refute_0_294]) ).
cnf(refute_0_296,plain,
multiply(commutator(commutator(X_254,X_255),B),C) = multiply(C,commutator(commutator(X_254,X_255),B)),
inference(subst,[],[nilpotency:[bind(A,$fot(commutator(X_254,X_255)))]]) ).
cnf(refute_0_297,plain,
commutator(commutator(X_254,X_255),B) = commutator(B,B),
inference(subst,[],[refute_0_201:[bind(X_165,$fot(X_254)),bind(X_166,$fot(X_255)),bind(X_242,$fot(B))]]) ).
cnf(refute_0_298,plain,
( multiply(commutator(commutator(X_254,X_255),B),C) != multiply(C,commutator(commutator(X_254,X_255),B))
| commutator(commutator(X_254,X_255),B) != commutator(B,B)
| multiply(commutator(B,B),C) = multiply(C,commutator(commutator(X_254,X_255),B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(commutator(X_254,X_255),B),C),multiply(C,commutator(commutator(X_254,X_255),B))) ),[0,0],$fot(commutator(B,B))]]) ).
cnf(refute_0_299,plain,
( multiply(commutator(commutator(X_254,X_255),B),C) != multiply(C,commutator(commutator(X_254,X_255),B))
| multiply(commutator(B,B),C) = multiply(C,commutator(commutator(X_254,X_255),B)) ),
inference(resolve,[$cnf( $equal(commutator(commutator(X_254,X_255),B),commutator(B,B)) )],[refute_0_297,refute_0_298]) ).
cnf(refute_0_300,plain,
multiply(commutator(B,B),C) = multiply(C,commutator(commutator(X_254,X_255),B)),
inference(resolve,[$cnf( $equal(multiply(commutator(commutator(X_254,X_255),B),C),multiply(C,commutator(commutator(X_254,X_255),B))) )],[refute_0_296,refute_0_299]) ).
cnf(refute_0_301,plain,
( multiply(A,B) != multiply(A,multiply(commutator(A,A),X_46))
| B = multiply(commutator(A,A),X_46) ),
inference(subst,[],[left_cancellation:[bind(C,$fot(multiply(commutator(A,A),X_46)))]]) ).
cnf(refute_0_302,plain,
multiply(multiply(X,commutator(X,X)),Z) = multiply(X,multiply(commutator(X,X),Z)),
inference(subst,[],[associativity_of_multiply:[bind(Y,$fot(commutator(X,X)))]]) ).
cnf(refute_0_303,plain,
multiply(X,commutator(X,X)) = X,
inference(subst,[],[refute_0_13:[bind(X_21,$fot(X))]]) ).
cnf(refute_0_304,plain,
( multiply(X,commutator(X,X)) != X
| multiply(multiply(X,commutator(X,X)),Z) != multiply(X,multiply(commutator(X,X),Z))
| multiply(X,Z) = multiply(X,multiply(commutator(X,X),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X,commutator(X,X)),Z),multiply(X,multiply(commutator(X,X),Z))) ),[0,0],$fot(X)]]) ).
cnf(refute_0_305,plain,
( multiply(multiply(X,commutator(X,X)),Z) != multiply(X,multiply(commutator(X,X),Z))
| multiply(X,Z) = multiply(X,multiply(commutator(X,X),Z)) ),
inference(resolve,[$cnf( $equal(multiply(X,commutator(X,X)),X) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
multiply(X,Z) = multiply(X,multiply(commutator(X,X),Z)),
inference(resolve,[$cnf( $equal(multiply(multiply(X,commutator(X,X)),Z),multiply(X,multiply(commutator(X,X),Z))) )],[refute_0_302,refute_0_305]) ).
cnf(refute_0_307,plain,
multiply(A,X_46) = multiply(A,multiply(commutator(A,A),X_46)),
inference(subst,[],[refute_0_306:[bind(X,$fot(A)),bind(Z,$fot(X_46))]]) ).
cnf(refute_0_308,plain,
( multiply(A,X_46) != multiply(A,multiply(commutator(A,A),X_46))
| multiply(A,multiply(commutator(A,A),X_46)) = multiply(A,X_46) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(A,X_46))),bind(Y0,$fot(multiply(A,multiply(commutator(A,A),X_46))))]]) ).
cnf(refute_0_309,plain,
multiply(A,multiply(commutator(A,A),X_46)) = multiply(A,X_46),
inference(resolve,[$cnf( $equal(multiply(A,X_46),multiply(A,multiply(commutator(A,A),X_46))) )],[refute_0_307,refute_0_308]) ).
cnf(refute_0_310,plain,
( multiply(A,B) != multiply(A,X_46)
| multiply(A,multiply(commutator(A,A),X_46)) != multiply(A,X_46)
| multiply(A,B) = multiply(A,multiply(commutator(A,A),X_46)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,B),multiply(A,multiply(commutator(A,A),X_46))) ),[1],$fot(multiply(A,X_46))]]) ).
cnf(refute_0_311,plain,
( multiply(A,B) != multiply(A,X_46)
| multiply(A,B) = multiply(A,multiply(commutator(A,A),X_46)) ),
inference(resolve,[$cnf( $equal(multiply(A,multiply(commutator(A,A),X_46)),multiply(A,X_46)) )],[refute_0_309,refute_0_310]) ).
cnf(refute_0_312,plain,
( multiply(A,B) != multiply(A,X_46)
| B = multiply(commutator(A,A),X_46) ),
inference(resolve,[$cnf( $equal(multiply(A,B),multiply(A,multiply(commutator(A,A),X_46))) )],[refute_0_311,refute_0_301]) ).
cnf(refute_0_313,plain,
( multiply(A,X_46) != multiply(A,X_46)
| X_46 = multiply(commutator(A,A),X_46) ),
inference(subst,[],[refute_0_312:[bind(B,$fot(X_46))]]) ).
cnf(refute_0_314,plain,
multiply(A,X_46) = multiply(A,X_46),
introduced(tautology,[refl,[$fot(multiply(A,X_46))]]) ).
cnf(refute_0_315,plain,
X_46 = multiply(commutator(A,A),X_46),
inference(resolve,[$cnf( $equal(multiply(A,X_46),multiply(A,X_46)) )],[refute_0_314,refute_0_313]) ).
cnf(refute_0_316,plain,
( X_46 != multiply(commutator(A,A),X_46)
| multiply(commutator(A,A),X_46) = X_46 ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(X_46)),bind(Y0,$fot(multiply(commutator(A,A),X_46)))]]) ).
cnf(refute_0_317,plain,
multiply(commutator(A,A),X_46) = X_46,
inference(resolve,[$cnf( $equal(X_46,multiply(commutator(A,A),X_46)) )],[refute_0_315,refute_0_316]) ).
cnf(refute_0_318,plain,
multiply(commutator(B,B),C) = C,
inference(subst,[],[refute_0_317:[bind(A,$fot(B)),bind(X_46,$fot(C))]]) ).
cnf(refute_0_319,plain,
( multiply(commutator(B,B),C) != C
| multiply(commutator(B,B),C) != multiply(C,commutator(commutator(X_254,X_255),B))
| C = multiply(C,commutator(commutator(X_254,X_255),B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(B,B),C),multiply(C,commutator(commutator(X_254,X_255),B))) ),[0],$fot(C)]]) ).
cnf(refute_0_320,plain,
( multiply(commutator(B,B),C) != multiply(C,commutator(commutator(X_254,X_255),B))
| C = multiply(C,commutator(commutator(X_254,X_255),B)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(B,B),C),C) )],[refute_0_318,refute_0_319]) ).
cnf(refute_0_321,plain,
C = multiply(C,commutator(commutator(X_254,X_255),B)),
inference(resolve,[$cnf( $equal(multiply(commutator(B,B),C),multiply(C,commutator(commutator(X_254,X_255),B))) )],[refute_0_300,refute_0_320]) ).
cnf(refute_0_322,plain,
( C != multiply(C,commutator(commutator(X_254,X_255),B))
| multiply(C,commutator(commutator(X_254,X_255),B)) = C ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(C)),bind(Y0,$fot(multiply(C,commutator(commutator(X_254,X_255),B))))]]) ).
cnf(refute_0_323,plain,
multiply(C,commutator(commutator(X_254,X_255),B)) = C,
inference(resolve,[$cnf( $equal(C,multiply(C,commutator(commutator(X_254,X_255),B))) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
multiply(commutator(X_265,commutator(A,B)),commutator(commutator(A,B),multiply(commutator(A,B),X_265))) = commutator(X_265,commutator(A,B)),
inference(subst,[],[refute_0_323:[bind(B,$fot(multiply(commutator(A,B),X_265))),bind(C,$fot(commutator(X_265,commutator(A,B)))),bind(X_254,$fot(A)),bind(X_255,$fot(B))]]) ).
cnf(refute_0_325,plain,
( multiply(commutator(X_265,commutator(A,B)),commutator(commutator(A,B),multiply(commutator(A,B),X_265))) != commutator(X_265,commutator(A,B))
| multiply(commutator(X_265,commutator(A,B)),commutator(commutator(A,B),multiply(commutator(A,B),X_265))) != commutator(commutator(A,B),commutator(A,B))
| commutator(X_265,commutator(A,B)) = commutator(commutator(A,B),commutator(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_265,commutator(A,B)),commutator(commutator(A,B),multiply(commutator(A,B),X_265))),commutator(commutator(A,B),commutator(A,B))) ),[0],$fot(commutator(X_265,commutator(A,B)))]]) ).
cnf(refute_0_326,plain,
( multiply(commutator(X_265,commutator(A,B)),commutator(commutator(A,B),multiply(commutator(A,B),X_265))) != commutator(commutator(A,B),commutator(A,B))
| commutator(X_265,commutator(A,B)) = commutator(commutator(A,B),commutator(A,B)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_265,commutator(A,B)),commutator(commutator(A,B),multiply(commutator(A,B),X_265))),commutator(X_265,commutator(A,B))) )],[refute_0_324,refute_0_325]) ).
cnf(refute_0_327,plain,
multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))) = multiply(commutator(A,A),multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A))))),
inference(subst,[],[refute_0_315:[bind(X_46,$fot(multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A))))))]]) ).
cnf(refute_0_328,plain,
( multiply(A,B) != multiply(A,multiply(X_87,multiply(commutator(X_87,multiply(A,X_87)),commutator(A,multiply(A,X_87)))))
| B = multiply(X_87,multiply(commutator(X_87,multiply(A,X_87)),commutator(A,multiply(A,X_87)))) ),
inference(subst,[],[left_cancellation:[bind(C,$fot(multiply(X_87,multiply(commutator(X_87,multiply(A,X_87)),commutator(A,multiply(A,X_87))))))]]) ).
cnf(refute_0_329,plain,
multiply(multiply(X_24,commutator(X_24,multiply(X_24,X_19))),multiply(X_19,commutator(X_19,multiply(X_19,multiply(X_24,commutator(X_24,multiply(X_24,X_19))))))) = multiply(X_19,multiply(X_24,commutator(X_24,multiply(X_24,X_19)))),
inference(subst,[],[refute_0_222:[bind(X_3,$fot(multiply(X_24,commutator(X_24,multiply(X_24,X_19)))))]]) ).
cnf(refute_0_330,plain,
multiply(X_19,multiply(X_24,commutator(X_24,multiply(X_24,X_19)))) = multiply(X_24,X_19),
inference(subst,[],[refute_0_222:[bind(X_19,$fot(X_24)),bind(X_3,$fot(X_19))]]) ).
cnf(refute_0_331,plain,
( multiply(X_19,multiply(X_24,commutator(X_24,multiply(X_24,X_19)))) != multiply(X_24,X_19)
| multiply(multiply(X_24,commutator(X_24,multiply(X_24,X_19))),multiply(X_19,commutator(X_19,multiply(X_19,multiply(X_24,commutator(X_24,multiply(X_24,X_19))))))) != multiply(X_19,multiply(X_24,commutator(X_24,multiply(X_24,X_19))))
| multiply(multiply(X_24,commutator(X_24,multiply(X_24,X_19))),multiply(X_19,commutator(X_19,multiply(X_24,X_19)))) = multiply(X_19,multiply(X_24,commutator(X_24,multiply(X_24,X_19)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_24,commutator(X_24,multiply(X_24,X_19))),multiply(X_19,commutator(X_19,multiply(X_19,multiply(X_24,commutator(X_24,multiply(X_24,X_19))))))),multiply(X_19,multiply(X_24,commutator(X_24,multiply(X_24,X_19))))) ),[0,1,1,1],$fot(multiply(X_24,X_19))]]) ).
cnf(refute_0_332,plain,
( multiply(multiply(X_24,commutator(X_24,multiply(X_24,X_19))),multiply(X_19,commutator(X_19,multiply(X_19,multiply(X_24,commutator(X_24,multiply(X_24,X_19))))))) != multiply(X_19,multiply(X_24,commutator(X_24,multiply(X_24,X_19))))
| multiply(multiply(X_24,commutator(X_24,multiply(X_24,X_19))),multiply(X_19,commutator(X_19,multiply(X_24,X_19)))) = multiply(X_19,multiply(X_24,commutator(X_24,multiply(X_24,X_19)))) ),
inference(resolve,[$cnf( $equal(multiply(X_19,multiply(X_24,commutator(X_24,multiply(X_24,X_19)))),multiply(X_24,X_19)) )],[refute_0_330,refute_0_331]) ).
cnf(refute_0_333,plain,
multiply(multiply(X_24,commutator(X_24,multiply(X_24,X_19))),multiply(X_19,commutator(X_19,multiply(X_24,X_19)))) = multiply(X_19,multiply(X_24,commutator(X_24,multiply(X_24,X_19)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_24,commutator(X_24,multiply(X_24,X_19))),multiply(X_19,commutator(X_19,multiply(X_19,multiply(X_24,commutator(X_24,multiply(X_24,X_19))))))),multiply(X_19,multiply(X_24,commutator(X_24,multiply(X_24,X_19))))) )],[refute_0_329,refute_0_332]) ).
cnf(refute_0_334,plain,
multiply(commutator(X_24,multiply(X_24,X_19)),multiply(X_19,commutator(X_19,multiply(X_24,X_19)))) = multiply(X_19,multiply(commutator(X_19,multiply(X_24,X_19)),commutator(X_24,multiply(X_24,X_19)))),
inference(subst,[],[refute_0_256:[bind(A,$fot(X_24)),bind(B,$fot(multiply(X_24,X_19))),bind(X_14,$fot(X_19)),bind(X_15,$fot(commutator(X_19,multiply(X_24,X_19))))]]) ).
cnf(refute_0_335,plain,
multiply(X_24,multiply(commutator(X_24,multiply(X_24,X_19)),multiply(X_19,commutator(X_19,multiply(X_24,X_19))))) = multiply(X_24,multiply(commutator(X_24,multiply(X_24,X_19)),multiply(X_19,commutator(X_19,multiply(X_24,X_19))))),
introduced(tautology,[refl,[$fot(multiply(X_24,multiply(commutator(X_24,multiply(X_24,X_19)),multiply(X_19,commutator(X_19,multiply(X_24,X_19))))))]]) ).
cnf(refute_0_336,plain,
( multiply(X_24,multiply(commutator(X_24,multiply(X_24,X_19)),multiply(X_19,commutator(X_19,multiply(X_24,X_19))))) != multiply(X_24,multiply(commutator(X_24,multiply(X_24,X_19)),multiply(X_19,commutator(X_19,multiply(X_24,X_19)))))
| multiply(commutator(X_24,multiply(X_24,X_19)),multiply(X_19,commutator(X_19,multiply(X_24,X_19)))) != multiply(X_19,multiply(commutator(X_19,multiply(X_24,X_19)),commutator(X_24,multiply(X_24,X_19))))
| multiply(X_24,multiply(commutator(X_24,multiply(X_24,X_19)),multiply(X_19,commutator(X_19,multiply(X_24,X_19))))) = multiply(X_24,multiply(X_19,multiply(commutator(X_19,multiply(X_24,X_19)),commutator(X_24,multiply(X_24,X_19))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_24,multiply(commutator(X_24,multiply(X_24,X_19)),multiply(X_19,commutator(X_19,multiply(X_24,X_19))))),multiply(X_24,multiply(commutator(X_24,multiply(X_24,X_19)),multiply(X_19,commutator(X_19,multiply(X_24,X_19)))))) ),[1,1],$fot(multiply(X_19,multiply(commutator(X_19,multiply(X_24,X_19)),commutator(X_24,multiply(X_24,X_19)))))]]) ).
cnf(refute_0_337,plain,
( multiply(commutator(X_24,multiply(X_24,X_19)),multiply(X_19,commutator(X_19,multiply(X_24,X_19)))) != multiply(X_19,multiply(commutator(X_19,multiply(X_24,X_19)),commutator(X_24,multiply(X_24,X_19))))
| multiply(X_24,multiply(commutator(X_24,multiply(X_24,X_19)),multiply(X_19,commutator(X_19,multiply(X_24,X_19))))) = multiply(X_24,multiply(X_19,multiply(commutator(X_19,multiply(X_24,X_19)),commutator(X_24,multiply(X_24,X_19))))) ),
inference(resolve,[$cnf( $equal(multiply(X_24,multiply(commutator(X_24,multiply(X_24,X_19)),multiply(X_19,commutator(X_19,multiply(X_24,X_19))))),multiply(X_24,multiply(commutator(X_24,multiply(X_24,X_19)),multiply(X_19,commutator(X_19,multiply(X_24,X_19)))))) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
multiply(X_24,multiply(commutator(X_24,multiply(X_24,X_19)),multiply(X_19,commutator(X_19,multiply(X_24,X_19))))) = multiply(X_24,multiply(X_19,multiply(commutator(X_19,multiply(X_24,X_19)),commutator(X_24,multiply(X_24,X_19))))),
inference(resolve,[$cnf( $equal(multiply(commutator(X_24,multiply(X_24,X_19)),multiply(X_19,commutator(X_19,multiply(X_24,X_19)))),multiply(X_19,multiply(commutator(X_19,multiply(X_24,X_19)),commutator(X_24,multiply(X_24,X_19))))) )],[refute_0_334,refute_0_337]) ).
cnf(refute_0_339,plain,
multiply(multiply(X_24,commutator(X_24,multiply(X_24,X_19))),multiply(X_19,commutator(X_19,multiply(X_24,X_19)))) = multiply(X_24,multiply(commutator(X_24,multiply(X_24,X_19)),multiply(X_19,commutator(X_19,multiply(X_24,X_19))))),
inference(subst,[],[associativity_of_multiply:[bind(X,$fot(X_24)),bind(Y,$fot(commutator(X_24,multiply(X_24,X_19)))),bind(Z,$fot(multiply(X_19,commutator(X_19,multiply(X_24,X_19)))))]]) ).
cnf(refute_0_340,plain,
( multiply(X_24,multiply(commutator(X_24,multiply(X_24,X_19)),multiply(X_19,commutator(X_19,multiply(X_24,X_19))))) != multiply(X_24,multiply(X_19,multiply(commutator(X_19,multiply(X_24,X_19)),commutator(X_24,multiply(X_24,X_19)))))
| multiply(multiply(X_24,commutator(X_24,multiply(X_24,X_19))),multiply(X_19,commutator(X_19,multiply(X_24,X_19)))) != multiply(X_24,multiply(commutator(X_24,multiply(X_24,X_19)),multiply(X_19,commutator(X_19,multiply(X_24,X_19)))))
| multiply(multiply(X_24,commutator(X_24,multiply(X_24,X_19))),multiply(X_19,commutator(X_19,multiply(X_24,X_19)))) = multiply(X_24,multiply(X_19,multiply(commutator(X_19,multiply(X_24,X_19)),commutator(X_24,multiply(X_24,X_19))))) ),
inference(subst,[],[refute_0_110:[bind(X0,$fot(multiply(multiply(X_24,commutator(X_24,multiply(X_24,X_19))),multiply(X_19,commutator(X_19,multiply(X_24,X_19)))))),bind(Y0,$fot(multiply(X_24,multiply(commutator(X_24,multiply(X_24,X_19)),multiply(X_19,commutator(X_19,multiply(X_24,X_19))))))),bind(Z0,$fot(multiply(X_24,multiply(X_19,multiply(commutator(X_19,multiply(X_24,X_19)),commutator(X_24,multiply(X_24,X_19)))))))]]) ).
cnf(refute_0_341,plain,
( multiply(X_24,multiply(commutator(X_24,multiply(X_24,X_19)),multiply(X_19,commutator(X_19,multiply(X_24,X_19))))) != multiply(X_24,multiply(X_19,multiply(commutator(X_19,multiply(X_24,X_19)),commutator(X_24,multiply(X_24,X_19)))))
| multiply(multiply(X_24,commutator(X_24,multiply(X_24,X_19))),multiply(X_19,commutator(X_19,multiply(X_24,X_19)))) = multiply(X_24,multiply(X_19,multiply(commutator(X_19,multiply(X_24,X_19)),commutator(X_24,multiply(X_24,X_19))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_24,commutator(X_24,multiply(X_24,X_19))),multiply(X_19,commutator(X_19,multiply(X_24,X_19)))),multiply(X_24,multiply(commutator(X_24,multiply(X_24,X_19)),multiply(X_19,commutator(X_19,multiply(X_24,X_19)))))) )],[refute_0_339,refute_0_340]) ).
cnf(refute_0_342,plain,
multiply(multiply(X_24,commutator(X_24,multiply(X_24,X_19))),multiply(X_19,commutator(X_19,multiply(X_24,X_19)))) = multiply(X_24,multiply(X_19,multiply(commutator(X_19,multiply(X_24,X_19)),commutator(X_24,multiply(X_24,X_19))))),
inference(resolve,[$cnf( $equal(multiply(X_24,multiply(commutator(X_24,multiply(X_24,X_19)),multiply(X_19,commutator(X_19,multiply(X_24,X_19))))),multiply(X_24,multiply(X_19,multiply(commutator(X_19,multiply(X_24,X_19)),commutator(X_24,multiply(X_24,X_19)))))) )],[refute_0_338,refute_0_341]) ).
cnf(refute_0_343,plain,
( multiply(multiply(X_24,commutator(X_24,multiply(X_24,X_19))),multiply(X_19,commutator(X_19,multiply(X_24,X_19)))) != multiply(X_19,multiply(X_24,commutator(X_24,multiply(X_24,X_19))))
| multiply(multiply(X_24,commutator(X_24,multiply(X_24,X_19))),multiply(X_19,commutator(X_19,multiply(X_24,X_19)))) != multiply(X_24,multiply(X_19,multiply(commutator(X_19,multiply(X_24,X_19)),commutator(X_24,multiply(X_24,X_19)))))
| multiply(X_24,multiply(X_19,multiply(commutator(X_19,multiply(X_24,X_19)),commutator(X_24,multiply(X_24,X_19))))) = multiply(X_19,multiply(X_24,commutator(X_24,multiply(X_24,X_19)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_24,commutator(X_24,multiply(X_24,X_19))),multiply(X_19,commutator(X_19,multiply(X_24,X_19)))),multiply(X_19,multiply(X_24,commutator(X_24,multiply(X_24,X_19))))) ),[0],$fot(multiply(X_24,multiply(X_19,multiply(commutator(X_19,multiply(X_24,X_19)),commutator(X_24,multiply(X_24,X_19))))))]]) ).
cnf(refute_0_344,plain,
( multiply(multiply(X_24,commutator(X_24,multiply(X_24,X_19))),multiply(X_19,commutator(X_19,multiply(X_24,X_19)))) != multiply(X_19,multiply(X_24,commutator(X_24,multiply(X_24,X_19))))
| multiply(X_24,multiply(X_19,multiply(commutator(X_19,multiply(X_24,X_19)),commutator(X_24,multiply(X_24,X_19))))) = multiply(X_19,multiply(X_24,commutator(X_24,multiply(X_24,X_19)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_24,commutator(X_24,multiply(X_24,X_19))),multiply(X_19,commutator(X_19,multiply(X_24,X_19)))),multiply(X_24,multiply(X_19,multiply(commutator(X_19,multiply(X_24,X_19)),commutator(X_24,multiply(X_24,X_19)))))) )],[refute_0_342,refute_0_343]) ).
cnf(refute_0_345,plain,
( multiply(X_19,multiply(X_24,commutator(X_24,multiply(X_24,X_19)))) != multiply(X_24,X_19)
| multiply(X_24,multiply(X_19,multiply(commutator(X_19,multiply(X_24,X_19)),commutator(X_24,multiply(X_24,X_19))))) != multiply(X_19,multiply(X_24,commutator(X_24,multiply(X_24,X_19))))
| multiply(X_24,multiply(X_19,multiply(commutator(X_19,multiply(X_24,X_19)),commutator(X_24,multiply(X_24,X_19))))) = multiply(X_24,X_19) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_24,multiply(X_19,multiply(commutator(X_19,multiply(X_24,X_19)),commutator(X_24,multiply(X_24,X_19))))),multiply(X_19,multiply(X_24,commutator(X_24,multiply(X_24,X_19))))) ),[1],$fot(multiply(X_24,X_19))]]) ).
cnf(refute_0_346,plain,
( multiply(X_24,multiply(X_19,multiply(commutator(X_19,multiply(X_24,X_19)),commutator(X_24,multiply(X_24,X_19))))) != multiply(X_19,multiply(X_24,commutator(X_24,multiply(X_24,X_19))))
| multiply(X_24,multiply(X_19,multiply(commutator(X_19,multiply(X_24,X_19)),commutator(X_24,multiply(X_24,X_19))))) = multiply(X_24,X_19) ),
inference(resolve,[$cnf( $equal(multiply(X_19,multiply(X_24,commutator(X_24,multiply(X_24,X_19)))),multiply(X_24,X_19)) )],[refute_0_330,refute_0_345]) ).
cnf(refute_0_347,plain,
( multiply(multiply(X_24,commutator(X_24,multiply(X_24,X_19))),multiply(X_19,commutator(X_19,multiply(X_24,X_19)))) != multiply(X_19,multiply(X_24,commutator(X_24,multiply(X_24,X_19))))
| multiply(X_24,multiply(X_19,multiply(commutator(X_19,multiply(X_24,X_19)),commutator(X_24,multiply(X_24,X_19))))) = multiply(X_24,X_19) ),
inference(resolve,[$cnf( $equal(multiply(X_24,multiply(X_19,multiply(commutator(X_19,multiply(X_24,X_19)),commutator(X_24,multiply(X_24,X_19))))),multiply(X_19,multiply(X_24,commutator(X_24,multiply(X_24,X_19))))) )],[refute_0_344,refute_0_346]) ).
cnf(refute_0_348,plain,
multiply(X_24,multiply(X_19,multiply(commutator(X_19,multiply(X_24,X_19)),commutator(X_24,multiply(X_24,X_19))))) = multiply(X_24,X_19),
inference(resolve,[$cnf( $equal(multiply(multiply(X_24,commutator(X_24,multiply(X_24,X_19))),multiply(X_19,commutator(X_19,multiply(X_24,X_19)))),multiply(X_19,multiply(X_24,commutator(X_24,multiply(X_24,X_19))))) )],[refute_0_333,refute_0_347]) ).
cnf(refute_0_349,plain,
multiply(A,multiply(X_87,multiply(commutator(X_87,multiply(A,X_87)),commutator(A,multiply(A,X_87))))) = multiply(A,X_87),
inference(subst,[],[refute_0_348:[bind(X_19,$fot(X_87)),bind(X_24,$fot(A))]]) ).
cnf(refute_0_350,plain,
( multiply(A,B) != multiply(A,X_87)
| multiply(A,multiply(X_87,multiply(commutator(X_87,multiply(A,X_87)),commutator(A,multiply(A,X_87))))) != multiply(A,X_87)
| multiply(A,B) = multiply(A,multiply(X_87,multiply(commutator(X_87,multiply(A,X_87)),commutator(A,multiply(A,X_87))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,B),multiply(A,multiply(X_87,multiply(commutator(X_87,multiply(A,X_87)),commutator(A,multiply(A,X_87)))))) ),[1],$fot(multiply(A,X_87))]]) ).
cnf(refute_0_351,plain,
( multiply(A,B) != multiply(A,X_87)
| multiply(A,B) = multiply(A,multiply(X_87,multiply(commutator(X_87,multiply(A,X_87)),commutator(A,multiply(A,X_87))))) ),
inference(resolve,[$cnf( $equal(multiply(A,multiply(X_87,multiply(commutator(X_87,multiply(A,X_87)),commutator(A,multiply(A,X_87))))),multiply(A,X_87)) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
( multiply(A,B) != multiply(A,X_87)
| B = multiply(X_87,multiply(commutator(X_87,multiply(A,X_87)),commutator(A,multiply(A,X_87)))) ),
inference(resolve,[$cnf( $equal(multiply(A,B),multiply(A,multiply(X_87,multiply(commutator(X_87,multiply(A,X_87)),commutator(A,multiply(A,X_87)))))) )],[refute_0_351,refute_0_328]) ).
cnf(refute_0_353,plain,
( multiply(A,X_87) != multiply(A,X_87)
| X_87 = multiply(X_87,multiply(commutator(X_87,multiply(A,X_87)),commutator(A,multiply(A,X_87)))) ),
inference(subst,[],[refute_0_352:[bind(B,$fot(X_87))]]) ).
cnf(refute_0_354,plain,
multiply(A,X_87) = multiply(A,X_87),
introduced(tautology,[refl,[$fot(multiply(A,X_87))]]) ).
cnf(refute_0_355,plain,
X_87 = multiply(X_87,multiply(commutator(X_87,multiply(A,X_87)),commutator(A,multiply(A,X_87)))),
inference(resolve,[$cnf( $equal(multiply(A,X_87),multiply(A,X_87)) )],[refute_0_354,refute_0_353]) ).
cnf(refute_0_356,plain,
commutator(A,A) = multiply(commutator(A,A),multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A))))),
inference(subst,[],[refute_0_355:[bind(A,$fot(X_158)),bind(X_87,$fot(commutator(A,A)))]]) ).
cnf(refute_0_357,plain,
( commutator(A,A) != multiply(commutator(A,A),multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))))
| multiply(commutator(A,A),multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A))))) = commutator(A,A) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(commutator(A,A))),bind(Y0,$fot(multiply(commutator(A,A),multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))))))]]) ).
cnf(refute_0_358,plain,
multiply(commutator(A,A),multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A))))) = commutator(A,A),
inference(resolve,[$cnf( $equal(commutator(A,A),multiply(commutator(A,A),multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))))) )],[refute_0_356,refute_0_357]) ).
cnf(refute_0_359,plain,
( multiply(commutator(A,A),multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A))))) != commutator(A,A)
| multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))) != multiply(commutator(A,A),multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))))
| multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))) = commutator(A,A) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))),multiply(commutator(A,A),multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))))) ),[1],$fot(commutator(A,A))]]) ).
cnf(refute_0_360,plain,
( multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))) != multiply(commutator(A,A),multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))))
| multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))) = commutator(A,A) ),
inference(resolve,[$cnf( $equal(multiply(commutator(A,A),multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A))))),commutator(A,A)) )],[refute_0_358,refute_0_359]) ).
cnf(refute_0_361,plain,
multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))) = commutator(A,A),
inference(resolve,[$cnf( $equal(multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))),multiply(commutator(A,A),multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))))) )],[refute_0_327,refute_0_360]) ).
cnf(refute_0_362,plain,
multiply(commutator(commutator(X_49,X_49),commutator(X_49,X_49)),C) = multiply(C,commutator(commutator(X_49,X_49),commutator(X_49,X_49))),
inference(subst,[],[nilpotency:[bind(A,$fot(commutator(X_49,X_49))),bind(B,$fot(commutator(X_49,X_49)))]]) ).
cnf(refute_0_363,plain,
( multiply(A,B) != multiply(A,multiply(X_30,commutator(multiply(A,X_30),multiply(A,X_30))))
| B = multiply(X_30,commutator(multiply(A,X_30),multiply(A,X_30))) ),
inference(subst,[],[left_cancellation:[bind(C,$fot(multiply(X_30,commutator(multiply(A,X_30),multiply(A,X_30)))))]]) ).
cnf(refute_0_364,plain,
multiply(multiply(X,Y),commutator(multiply(X,Y),multiply(X,Y))) = multiply(X,multiply(Y,commutator(multiply(X,Y),multiply(X,Y)))),
inference(subst,[],[associativity_of_multiply:[bind(Z,$fot(commutator(multiply(X,Y),multiply(X,Y))))]]) ).
cnf(refute_0_365,plain,
multiply(multiply(X,Y),commutator(multiply(X,Y),multiply(X,Y))) = multiply(X,Y),
inference(subst,[],[refute_0_13:[bind(X_21,$fot(multiply(X,Y)))]]) ).
cnf(refute_0_366,plain,
( multiply(multiply(X,Y),commutator(multiply(X,Y),multiply(X,Y))) != multiply(X,Y)
| multiply(multiply(X,Y),commutator(multiply(X,Y),multiply(X,Y))) != multiply(X,multiply(Y,commutator(multiply(X,Y),multiply(X,Y))))
| multiply(X,Y) = multiply(X,multiply(Y,commutator(multiply(X,Y),multiply(X,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X,Y),commutator(multiply(X,Y),multiply(X,Y))),multiply(X,multiply(Y,commutator(multiply(X,Y),multiply(X,Y))))) ),[0],$fot(multiply(X,Y))]]) ).
cnf(refute_0_367,plain,
( multiply(multiply(X,Y),commutator(multiply(X,Y),multiply(X,Y))) != multiply(X,multiply(Y,commutator(multiply(X,Y),multiply(X,Y))))
| multiply(X,Y) = multiply(X,multiply(Y,commutator(multiply(X,Y),multiply(X,Y)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),commutator(multiply(X,Y),multiply(X,Y))),multiply(X,Y)) )],[refute_0_365,refute_0_366]) ).
cnf(refute_0_368,plain,
multiply(X,Y) = multiply(X,multiply(Y,commutator(multiply(X,Y),multiply(X,Y)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),commutator(multiply(X,Y),multiply(X,Y))),multiply(X,multiply(Y,commutator(multiply(X,Y),multiply(X,Y))))) )],[refute_0_364,refute_0_367]) ).
cnf(refute_0_369,plain,
multiply(A,X_30) = multiply(A,multiply(X_30,commutator(multiply(A,X_30),multiply(A,X_30)))),
inference(subst,[],[refute_0_368:[bind(X,$fot(A)),bind(Y,$fot(X_30))]]) ).
cnf(refute_0_370,plain,
( multiply(A,X_30) != multiply(A,multiply(X_30,commutator(multiply(A,X_30),multiply(A,X_30))))
| multiply(A,multiply(X_30,commutator(multiply(A,X_30),multiply(A,X_30)))) = multiply(A,X_30) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(A,X_30))),bind(Y0,$fot(multiply(A,multiply(X_30,commutator(multiply(A,X_30),multiply(A,X_30))))))]]) ).
cnf(refute_0_371,plain,
multiply(A,multiply(X_30,commutator(multiply(A,X_30),multiply(A,X_30)))) = multiply(A,X_30),
inference(resolve,[$cnf( $equal(multiply(A,X_30),multiply(A,multiply(X_30,commutator(multiply(A,X_30),multiply(A,X_30))))) )],[refute_0_369,refute_0_370]) ).
cnf(refute_0_372,plain,
( multiply(A,B) != multiply(A,X_30)
| multiply(A,multiply(X_30,commutator(multiply(A,X_30),multiply(A,X_30)))) != multiply(A,X_30)
| multiply(A,B) = multiply(A,multiply(X_30,commutator(multiply(A,X_30),multiply(A,X_30)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,B),multiply(A,multiply(X_30,commutator(multiply(A,X_30),multiply(A,X_30))))) ),[1],$fot(multiply(A,X_30))]]) ).
cnf(refute_0_373,plain,
( multiply(A,B) != multiply(A,X_30)
| multiply(A,B) = multiply(A,multiply(X_30,commutator(multiply(A,X_30),multiply(A,X_30)))) ),
inference(resolve,[$cnf( $equal(multiply(A,multiply(X_30,commutator(multiply(A,X_30),multiply(A,X_30)))),multiply(A,X_30)) )],[refute_0_371,refute_0_372]) ).
cnf(refute_0_374,plain,
( multiply(A,B) != multiply(A,X_30)
| B = multiply(X_30,commutator(multiply(A,X_30),multiply(A,X_30))) ),
inference(resolve,[$cnf( $equal(multiply(A,B),multiply(A,multiply(X_30,commutator(multiply(A,X_30),multiply(A,X_30))))) )],[refute_0_373,refute_0_363]) ).
cnf(refute_0_375,plain,
( multiply(A,X_30) != multiply(A,X_30)
| X_30 = multiply(X_30,commutator(multiply(A,X_30),multiply(A,X_30))) ),
inference(subst,[],[refute_0_374:[bind(B,$fot(X_30))]]) ).
cnf(refute_0_376,plain,
multiply(A,X_30) = multiply(A,X_30),
introduced(tautology,[refl,[$fot(multiply(A,X_30))]]) ).
cnf(refute_0_377,plain,
X_30 = multiply(X_30,commutator(multiply(A,X_30),multiply(A,X_30))),
inference(resolve,[$cnf( $equal(multiply(A,X_30),multiply(A,X_30)) )],[refute_0_376,refute_0_375]) ).
cnf(refute_0_378,plain,
commutator(commutator(A,A),commutator(A,A)) = multiply(commutator(commutator(A,A),commutator(A,A)),commutator(multiply(A,commutator(commutator(A,A),commutator(A,A))),multiply(A,commutator(commutator(A,A),commutator(A,A))))),
inference(subst,[],[refute_0_377:[bind(X_30,$fot(commutator(commutator(A,A),commutator(A,A))))]]) ).
cnf(refute_0_379,plain,
multiply(X_45,commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45)))) = multiply(X_45,multiply(commutator(X_45,X_45),commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45))))),
inference(subst,[],[refute_0_306:[bind(X,$fot(X_45)),bind(Z,$fot(commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45)))))]]) ).
cnf(refute_0_380,plain,
( multiply(A,B) != multiply(A,multiply(X_24,commutator(X_24,multiply(X_24,A))))
| B = multiply(X_24,commutator(X_24,multiply(X_24,A))) ),
inference(subst,[],[left_cancellation:[bind(C,$fot(multiply(X_24,commutator(X_24,multiply(X_24,A)))))]]) ).
cnf(refute_0_381,plain,
multiply(A,multiply(X_24,commutator(X_24,multiply(X_24,A)))) = multiply(X_24,A),
inference(subst,[],[refute_0_222:[bind(X_19,$fot(X_24)),bind(X_3,$fot(A))]]) ).
cnf(refute_0_382,plain,
( multiply(A,B) != multiply(X_24,A)
| multiply(A,multiply(X_24,commutator(X_24,multiply(X_24,A)))) != multiply(X_24,A)
| multiply(A,B) = multiply(A,multiply(X_24,commutator(X_24,multiply(X_24,A)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,B),multiply(A,multiply(X_24,commutator(X_24,multiply(X_24,A))))) ),[1],$fot(multiply(X_24,A))]]) ).
cnf(refute_0_383,plain,
( multiply(A,B) != multiply(X_24,A)
| multiply(A,B) = multiply(A,multiply(X_24,commutator(X_24,multiply(X_24,A)))) ),
inference(resolve,[$cnf( $equal(multiply(A,multiply(X_24,commutator(X_24,multiply(X_24,A)))),multiply(X_24,A)) )],[refute_0_381,refute_0_382]) ).
cnf(refute_0_384,plain,
( multiply(A,B) != multiply(X_24,A)
| B = multiply(X_24,commutator(X_24,multiply(X_24,A))) ),
inference(resolve,[$cnf( $equal(multiply(A,B),multiply(A,multiply(X_24,commutator(X_24,multiply(X_24,A))))) )],[refute_0_383,refute_0_380]) ).
cnf(refute_0_385,plain,
( multiply(X_24,X_24) != multiply(X_24,X_24)
| X_24 = multiply(X_24,commutator(X_24,multiply(X_24,X_24))) ),
inference(subst,[],[refute_0_384:[bind(A,$fot(X_24)),bind(B,$fot(X_24))]]) ).
cnf(refute_0_386,plain,
multiply(X_24,X_24) = multiply(X_24,X_24),
introduced(tautology,[refl,[$fot(multiply(X_24,X_24))]]) ).
cnf(refute_0_387,plain,
X_24 = multiply(X_24,commutator(X_24,multiply(X_24,X_24))),
inference(resolve,[$cnf( $equal(multiply(X_24,X_24),multiply(X_24,X_24)) )],[refute_0_386,refute_0_385]) ).
cnf(refute_0_388,plain,
commutator(X_45,X_45) = multiply(commutator(X_45,X_45),commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45)))),
inference(subst,[],[refute_0_387:[bind(X_24,$fot(commutator(X_45,X_45)))]]) ).
cnf(refute_0_389,plain,
( commutator(X_45,X_45) != multiply(commutator(X_45,X_45),commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45))))
| multiply(commutator(X_45,X_45),commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45)))) = commutator(X_45,X_45) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(commutator(X_45,X_45))),bind(Y0,$fot(multiply(commutator(X_45,X_45),commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45))))))]]) ).
cnf(refute_0_390,plain,
multiply(commutator(X_45,X_45),commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45)))) = commutator(X_45,X_45),
inference(resolve,[$cnf( $equal(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45))))) )],[refute_0_388,refute_0_389]) ).
cnf(refute_0_391,plain,
( multiply(X_45,commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45)))) != multiply(X_45,multiply(commutator(X_45,X_45),commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45)))))
| multiply(commutator(X_45,X_45),commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45)))) != commutator(X_45,X_45)
| multiply(X_45,commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45)))) = multiply(X_45,commutator(X_45,X_45)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_45,commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45)))),multiply(X_45,multiply(commutator(X_45,X_45),commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45)))))) ),[1,1],$fot(commutator(X_45,X_45))]]) ).
cnf(refute_0_392,plain,
( multiply(X_45,commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45)))) != multiply(X_45,multiply(commutator(X_45,X_45),commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45)))))
| multiply(X_45,commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45)))) = multiply(X_45,commutator(X_45,X_45)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_45,X_45),commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45)))),commutator(X_45,X_45)) )],[refute_0_390,refute_0_391]) ).
cnf(refute_0_393,plain,
multiply(X_45,commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45)))) = multiply(X_45,commutator(X_45,X_45)),
inference(resolve,[$cnf( $equal(multiply(X_45,commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45)))),multiply(X_45,multiply(commutator(X_45,X_45),commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45)))))) )],[refute_0_379,refute_0_392]) ).
cnf(refute_0_394,plain,
commutator(X_40,X_40) = multiply(commutator(X_40,X_40),commutator(multiply(X_40,commutator(X_40,X_40)),multiply(X_40,commutator(X_40,X_40)))),
inference(subst,[],[refute_0_377:[bind(A,$fot(X_40)),bind(X_30,$fot(commutator(X_40,X_40)))]]) ).
cnf(refute_0_395,plain,
multiply(X_40,commutator(X_40,X_40)) = X_40,
inference(subst,[],[refute_0_13:[bind(X_21,$fot(X_40))]]) ).
cnf(refute_0_396,plain,
( multiply(X_40,commutator(X_40,X_40)) != X_40
| commutator(X_40,X_40) != multiply(commutator(X_40,X_40),commutator(multiply(X_40,commutator(X_40,X_40)),multiply(X_40,commutator(X_40,X_40))))
| commutator(X_40,X_40) = multiply(commutator(X_40,X_40),commutator(multiply(X_40,commutator(X_40,X_40)),X_40)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_40,X_40),multiply(commutator(X_40,X_40),commutator(multiply(X_40,commutator(X_40,X_40)),multiply(X_40,commutator(X_40,X_40))))) ),[1,1,1],$fot(X_40)]]) ).
cnf(refute_0_397,plain,
( commutator(X_40,X_40) != multiply(commutator(X_40,X_40),commutator(multiply(X_40,commutator(X_40,X_40)),multiply(X_40,commutator(X_40,X_40))))
| commutator(X_40,X_40) = multiply(commutator(X_40,X_40),commutator(multiply(X_40,commutator(X_40,X_40)),X_40)) ),
inference(resolve,[$cnf( $equal(multiply(X_40,commutator(X_40,X_40)),X_40) )],[refute_0_395,refute_0_396]) ).
cnf(refute_0_398,plain,
commutator(X_40,X_40) = multiply(commutator(X_40,X_40),commutator(multiply(X_40,commutator(X_40,X_40)),X_40)),
inference(resolve,[$cnf( $equal(commutator(X_40,X_40),multiply(commutator(X_40,X_40),commutator(multiply(X_40,commutator(X_40,X_40)),multiply(X_40,commutator(X_40,X_40))))) )],[refute_0_394,refute_0_397]) ).
cnf(refute_0_399,plain,
commutator(multiply(X_40,commutator(X_40,X_40)),X_40) = commutator(multiply(X_40,commutator(X_40,X_40)),X_40),
introduced(tautology,[refl,[$fot(commutator(multiply(X_40,commutator(X_40,X_40)),X_40))]]) ).
cnf(refute_0_400,plain,
( multiply(X_40,commutator(X_40,X_40)) != X_40
| commutator(multiply(X_40,commutator(X_40,X_40)),X_40) != commutator(multiply(X_40,commutator(X_40,X_40)),X_40)
| commutator(multiply(X_40,commutator(X_40,X_40)),X_40) = commutator(X_40,X_40) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(multiply(X_40,commutator(X_40,X_40)),X_40),commutator(multiply(X_40,commutator(X_40,X_40)),X_40)) ),[1,0],$fot(X_40)]]) ).
cnf(refute_0_401,plain,
( multiply(X_40,commutator(X_40,X_40)) != X_40
| commutator(multiply(X_40,commutator(X_40,X_40)),X_40) = commutator(X_40,X_40) ),
inference(resolve,[$cnf( $equal(commutator(multiply(X_40,commutator(X_40,X_40)),X_40),commutator(multiply(X_40,commutator(X_40,X_40)),X_40)) )],[refute_0_399,refute_0_400]) ).
cnf(refute_0_402,plain,
commutator(multiply(X_40,commutator(X_40,X_40)),X_40) = commutator(X_40,X_40),
inference(resolve,[$cnf( $equal(multiply(X_40,commutator(X_40,X_40)),X_40) )],[refute_0_395,refute_0_401]) ).
cnf(refute_0_403,plain,
multiply(commutator(X_40,X_40),commutator(multiply(X_40,commutator(X_40,X_40)),X_40)) = multiply(commutator(X_40,X_40),commutator(multiply(X_40,commutator(X_40,X_40)),X_40)),
introduced(tautology,[refl,[$fot(multiply(commutator(X_40,X_40),commutator(multiply(X_40,commutator(X_40,X_40)),X_40)))]]) ).
cnf(refute_0_404,plain,
( multiply(commutator(X_40,X_40),commutator(multiply(X_40,commutator(X_40,X_40)),X_40)) != multiply(commutator(X_40,X_40),commutator(multiply(X_40,commutator(X_40,X_40)),X_40))
| commutator(multiply(X_40,commutator(X_40,X_40)),X_40) != commutator(X_40,X_40)
| multiply(commutator(X_40,X_40),commutator(multiply(X_40,commutator(X_40,X_40)),X_40)) = multiply(commutator(X_40,X_40),commutator(X_40,X_40)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(X_40,X_40),commutator(multiply(X_40,commutator(X_40,X_40)),X_40)),multiply(commutator(X_40,X_40),commutator(multiply(X_40,commutator(X_40,X_40)),X_40))) ),[1,1],$fot(commutator(X_40,X_40))]]) ).
cnf(refute_0_405,plain,
( commutator(multiply(X_40,commutator(X_40,X_40)),X_40) != commutator(X_40,X_40)
| multiply(commutator(X_40,X_40),commutator(multiply(X_40,commutator(X_40,X_40)),X_40)) = multiply(commutator(X_40,X_40),commutator(X_40,X_40)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_40,X_40),commutator(multiply(X_40,commutator(X_40,X_40)),X_40)),multiply(commutator(X_40,X_40),commutator(multiply(X_40,commutator(X_40,X_40)),X_40))) )],[refute_0_403,refute_0_404]) ).
cnf(refute_0_406,plain,
multiply(commutator(X_40,X_40),commutator(multiply(X_40,commutator(X_40,X_40)),X_40)) = multiply(commutator(X_40,X_40),commutator(X_40,X_40)),
inference(resolve,[$cnf( $equal(commutator(multiply(X_40,commutator(X_40,X_40)),X_40),commutator(X_40,X_40)) )],[refute_0_402,refute_0_405]) ).
cnf(refute_0_407,plain,
( multiply(commutator(X_40,X_40),commutator(multiply(X_40,commutator(X_40,X_40)),X_40)) != multiply(commutator(X_40,X_40),commutator(X_40,X_40))
| commutator(X_40,X_40) != multiply(commutator(X_40,X_40),commutator(multiply(X_40,commutator(X_40,X_40)),X_40))
| commutator(X_40,X_40) = multiply(commutator(X_40,X_40),commutator(X_40,X_40)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_40,X_40),multiply(commutator(X_40,X_40),commutator(multiply(X_40,commutator(X_40,X_40)),X_40))) ),[1],$fot(multiply(commutator(X_40,X_40),commutator(X_40,X_40)))]]) ).
cnf(refute_0_408,plain,
( commutator(X_40,X_40) != multiply(commutator(X_40,X_40),commutator(multiply(X_40,commutator(X_40,X_40)),X_40))
| commutator(X_40,X_40) = multiply(commutator(X_40,X_40),commutator(X_40,X_40)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(X_40,X_40),commutator(multiply(X_40,commutator(X_40,X_40)),X_40)),multiply(commutator(X_40,X_40),commutator(X_40,X_40))) )],[refute_0_406,refute_0_407]) ).
cnf(refute_0_409,plain,
commutator(X_40,X_40) = multiply(commutator(X_40,X_40),commutator(X_40,X_40)),
inference(resolve,[$cnf( $equal(commutator(X_40,X_40),multiply(commutator(X_40,X_40),commutator(multiply(X_40,commutator(X_40,X_40)),X_40))) )],[refute_0_398,refute_0_408]) ).
cnf(refute_0_410,plain,
( commutator(X_40,X_40) != multiply(commutator(X_40,X_40),commutator(X_40,X_40))
| multiply(commutator(X_40,X_40),commutator(X_40,X_40)) = commutator(X_40,X_40) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(commutator(X_40,X_40))),bind(Y0,$fot(multiply(commutator(X_40,X_40),commutator(X_40,X_40))))]]) ).
cnf(refute_0_411,plain,
multiply(commutator(X_40,X_40),commutator(X_40,X_40)) = commutator(X_40,X_40),
inference(resolve,[$cnf( $equal(commutator(X_40,X_40),multiply(commutator(X_40,X_40),commutator(X_40,X_40))) )],[refute_0_409,refute_0_410]) ).
cnf(refute_0_412,plain,
multiply(commutator(X_45,X_45),commutator(X_45,X_45)) = commutator(X_45,X_45),
inference(subst,[],[refute_0_411:[bind(X_40,$fot(X_45))]]) ).
cnf(refute_0_413,plain,
commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45))) = commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45))),
introduced(tautology,[refl,[$fot(commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45))))]]) ).
cnf(refute_0_414,plain,
( multiply(commutator(X_45,X_45),commutator(X_45,X_45)) != commutator(X_45,X_45)
| commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45))) != commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45)))
| commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45))) = commutator(commutator(X_45,X_45),commutator(X_45,X_45)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45))),commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45)))) ),[1,1],$fot(commutator(X_45,X_45))]]) ).
cnf(refute_0_415,plain,
( multiply(commutator(X_45,X_45),commutator(X_45,X_45)) != commutator(X_45,X_45)
| commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45))) = commutator(commutator(X_45,X_45),commutator(X_45,X_45)) ),
inference(resolve,[$cnf( $equal(commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45))),commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45)))) )],[refute_0_413,refute_0_414]) ).
cnf(refute_0_416,plain,
commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45))) = commutator(commutator(X_45,X_45),commutator(X_45,X_45)),
inference(resolve,[$cnf( $equal(multiply(commutator(X_45,X_45),commutator(X_45,X_45)),commutator(X_45,X_45)) )],[refute_0_412,refute_0_415]) ).
cnf(refute_0_417,plain,
multiply(X_45,commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45)))) = multiply(X_45,commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45)))),
introduced(tautology,[refl,[$fot(multiply(X_45,commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45)))))]]) ).
cnf(refute_0_418,plain,
( multiply(X_45,commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45)))) != multiply(X_45,commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45))))
| commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45))) != commutator(commutator(X_45,X_45),commutator(X_45,X_45))
| multiply(X_45,commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45)))) = multiply(X_45,commutator(commutator(X_45,X_45),commutator(X_45,X_45))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_45,commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45)))),multiply(X_45,commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45))))) ),[1,1],$fot(commutator(commutator(X_45,X_45),commutator(X_45,X_45)))]]) ).
cnf(refute_0_419,plain,
( commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45))) != commutator(commutator(X_45,X_45),commutator(X_45,X_45))
| multiply(X_45,commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45)))) = multiply(X_45,commutator(commutator(X_45,X_45),commutator(X_45,X_45))) ),
inference(resolve,[$cnf( $equal(multiply(X_45,commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45)))),multiply(X_45,commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45))))) )],[refute_0_417,refute_0_418]) ).
cnf(refute_0_420,plain,
multiply(X_45,commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45)))) = multiply(X_45,commutator(commutator(X_45,X_45),commutator(X_45,X_45))),
inference(resolve,[$cnf( $equal(commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45))),commutator(commutator(X_45,X_45),commutator(X_45,X_45))) )],[refute_0_416,refute_0_419]) ).
cnf(refute_0_421,plain,
( multiply(X_45,commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45)))) != multiply(X_45,commutator(X_45,X_45))
| multiply(X_45,commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45)))) != multiply(X_45,commutator(commutator(X_45,X_45),commutator(X_45,X_45)))
| multiply(X_45,commutator(commutator(X_45,X_45),commutator(X_45,X_45))) = multiply(X_45,commutator(X_45,X_45)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_45,commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45)))),multiply(X_45,commutator(X_45,X_45))) ),[0],$fot(multiply(X_45,commutator(commutator(X_45,X_45),commutator(X_45,X_45))))]]) ).
cnf(refute_0_422,plain,
( multiply(X_45,commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45)))) != multiply(X_45,commutator(X_45,X_45))
| multiply(X_45,commutator(commutator(X_45,X_45),commutator(X_45,X_45))) = multiply(X_45,commutator(X_45,X_45)) ),
inference(resolve,[$cnf( $equal(multiply(X_45,commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45)))),multiply(X_45,commutator(commutator(X_45,X_45),commutator(X_45,X_45)))) )],[refute_0_420,refute_0_421]) ).
cnf(refute_0_423,plain,
multiply(X_45,commutator(X_45,X_45)) = X_45,
inference(subst,[],[refute_0_13:[bind(X_21,$fot(X_45))]]) ).
cnf(refute_0_424,plain,
( multiply(X_45,commutator(X_45,X_45)) != X_45
| multiply(X_45,commutator(commutator(X_45,X_45),commutator(X_45,X_45))) != multiply(X_45,commutator(X_45,X_45))
| multiply(X_45,commutator(commutator(X_45,X_45),commutator(X_45,X_45))) = X_45 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_45,commutator(commutator(X_45,X_45),commutator(X_45,X_45))),multiply(X_45,commutator(X_45,X_45))) ),[1],$fot(X_45)]]) ).
cnf(refute_0_425,plain,
( multiply(X_45,commutator(commutator(X_45,X_45),commutator(X_45,X_45))) != multiply(X_45,commutator(X_45,X_45))
| multiply(X_45,commutator(commutator(X_45,X_45),commutator(X_45,X_45))) = X_45 ),
inference(resolve,[$cnf( $equal(multiply(X_45,commutator(X_45,X_45)),X_45) )],[refute_0_423,refute_0_424]) ).
cnf(refute_0_426,plain,
( multiply(X_45,commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45)))) != multiply(X_45,commutator(X_45,X_45))
| multiply(X_45,commutator(commutator(X_45,X_45),commutator(X_45,X_45))) = X_45 ),
inference(resolve,[$cnf( $equal(multiply(X_45,commutator(commutator(X_45,X_45),commutator(X_45,X_45))),multiply(X_45,commutator(X_45,X_45))) )],[refute_0_422,refute_0_425]) ).
cnf(refute_0_427,plain,
multiply(X_45,commutator(commutator(X_45,X_45),commutator(X_45,X_45))) = X_45,
inference(resolve,[$cnf( $equal(multiply(X_45,commutator(commutator(X_45,X_45),multiply(commutator(X_45,X_45),commutator(X_45,X_45)))),multiply(X_45,commutator(X_45,X_45))) )],[refute_0_393,refute_0_426]) ).
cnf(refute_0_428,plain,
multiply(A,commutator(commutator(A,A),commutator(A,A))) = A,
inference(subst,[],[refute_0_427:[bind(X_45,$fot(A))]]) ).
cnf(refute_0_429,plain,
( multiply(A,commutator(commutator(A,A),commutator(A,A))) != A
| commutator(commutator(A,A),commutator(A,A)) != multiply(commutator(commutator(A,A),commutator(A,A)),commutator(multiply(A,commutator(commutator(A,A),commutator(A,A))),multiply(A,commutator(commutator(A,A),commutator(A,A)))))
| commutator(commutator(A,A),commutator(A,A)) = multiply(commutator(commutator(A,A),commutator(A,A)),commutator(A,multiply(A,commutator(commutator(A,A),commutator(A,A))))) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(A,A),commutator(A,A)),multiply(commutator(commutator(A,A),commutator(A,A)),commutator(multiply(A,commutator(commutator(A,A),commutator(A,A))),multiply(A,commutator(commutator(A,A),commutator(A,A)))))) ),[1,1,0],$fot(A)]]) ).
cnf(refute_0_430,plain,
( commutator(commutator(A,A),commutator(A,A)) != multiply(commutator(commutator(A,A),commutator(A,A)),commutator(multiply(A,commutator(commutator(A,A),commutator(A,A))),multiply(A,commutator(commutator(A,A),commutator(A,A)))))
| commutator(commutator(A,A),commutator(A,A)) = multiply(commutator(commutator(A,A),commutator(A,A)),commutator(A,multiply(A,commutator(commutator(A,A),commutator(A,A))))) ),
inference(resolve,[$cnf( $equal(multiply(A,commutator(commutator(A,A),commutator(A,A))),A) )],[refute_0_428,refute_0_429]) ).
cnf(refute_0_431,plain,
commutator(commutator(A,A),commutator(A,A)) = multiply(commutator(commutator(A,A),commutator(A,A)),commutator(A,multiply(A,commutator(commutator(A,A),commutator(A,A))))),
inference(resolve,[$cnf( $equal(commutator(commutator(A,A),commutator(A,A)),multiply(commutator(commutator(A,A),commutator(A,A)),commutator(multiply(A,commutator(commutator(A,A),commutator(A,A))),multiply(A,commutator(commutator(A,A),commutator(A,A)))))) )],[refute_0_378,refute_0_430]) ).
cnf(refute_0_432,plain,
commutator(A,multiply(A,commutator(commutator(A,A),commutator(A,A)))) = commutator(A,multiply(A,commutator(commutator(A,A),commutator(A,A)))),
introduced(tautology,[refl,[$fot(commutator(A,multiply(A,commutator(commutator(A,A),commutator(A,A)))))]]) ).
cnf(refute_0_433,plain,
( multiply(A,commutator(commutator(A,A),commutator(A,A))) != A
| commutator(A,multiply(A,commutator(commutator(A,A),commutator(A,A)))) != commutator(A,multiply(A,commutator(commutator(A,A),commutator(A,A))))
| commutator(A,multiply(A,commutator(commutator(A,A),commutator(A,A)))) = commutator(A,A) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(A,multiply(A,commutator(commutator(A,A),commutator(A,A)))),commutator(A,multiply(A,commutator(commutator(A,A),commutator(A,A))))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_434,plain,
( multiply(A,commutator(commutator(A,A),commutator(A,A))) != A
| commutator(A,multiply(A,commutator(commutator(A,A),commutator(A,A)))) = commutator(A,A) ),
inference(resolve,[$cnf( $equal(commutator(A,multiply(A,commutator(commutator(A,A),commutator(A,A)))),commutator(A,multiply(A,commutator(commutator(A,A),commutator(A,A))))) )],[refute_0_432,refute_0_433]) ).
cnf(refute_0_435,plain,
commutator(A,multiply(A,commutator(commutator(A,A),commutator(A,A)))) = commutator(A,A),
inference(resolve,[$cnf( $equal(multiply(A,commutator(commutator(A,A),commutator(A,A))),A) )],[refute_0_428,refute_0_434]) ).
cnf(refute_0_436,plain,
multiply(commutator(commutator(A,A),commutator(A,A)),commutator(A,multiply(A,commutator(commutator(A,A),commutator(A,A))))) = commutator(A,multiply(A,commutator(commutator(A,A),commutator(A,A)))),
inference(subst,[],[refute_0_317:[bind(A,$fot(commutator(A,A))),bind(X_46,$fot(commutator(A,multiply(A,commutator(commutator(A,A),commutator(A,A))))))]]) ).
cnf(refute_0_437,plain,
( multiply(commutator(commutator(A,A),commutator(A,A)),commutator(A,multiply(A,commutator(commutator(A,A),commutator(A,A))))) != commutator(A,multiply(A,commutator(commutator(A,A),commutator(A,A))))
| commutator(A,multiply(A,commutator(commutator(A,A),commutator(A,A)))) != commutator(A,A)
| multiply(commutator(commutator(A,A),commutator(A,A)),commutator(A,multiply(A,commutator(commutator(A,A),commutator(A,A))))) = commutator(A,A) ),
inference(subst,[],[refute_0_110:[bind(X0,$fot(multiply(commutator(commutator(A,A),commutator(A,A)),commutator(A,multiply(A,commutator(commutator(A,A),commutator(A,A))))))),bind(Y0,$fot(commutator(A,multiply(A,commutator(commutator(A,A),commutator(A,A)))))),bind(Z0,$fot(commutator(A,A)))]]) ).
cnf(refute_0_438,plain,
( commutator(A,multiply(A,commutator(commutator(A,A),commutator(A,A)))) != commutator(A,A)
| multiply(commutator(commutator(A,A),commutator(A,A)),commutator(A,multiply(A,commutator(commutator(A,A),commutator(A,A))))) = commutator(A,A) ),
inference(resolve,[$cnf( $equal(multiply(commutator(commutator(A,A),commutator(A,A)),commutator(A,multiply(A,commutator(commutator(A,A),commutator(A,A))))),commutator(A,multiply(A,commutator(commutator(A,A),commutator(A,A))))) )],[refute_0_436,refute_0_437]) ).
cnf(refute_0_439,plain,
multiply(commutator(commutator(A,A),commutator(A,A)),commutator(A,multiply(A,commutator(commutator(A,A),commutator(A,A))))) = commutator(A,A),
inference(resolve,[$cnf( $equal(commutator(A,multiply(A,commutator(commutator(A,A),commutator(A,A)))),commutator(A,A)) )],[refute_0_435,refute_0_438]) ).
cnf(refute_0_440,plain,
( multiply(commutator(commutator(A,A),commutator(A,A)),commutator(A,multiply(A,commutator(commutator(A,A),commutator(A,A))))) != commutator(A,A)
| commutator(commutator(A,A),commutator(A,A)) != multiply(commutator(commutator(A,A),commutator(A,A)),commutator(A,multiply(A,commutator(commutator(A,A),commutator(A,A)))))
| commutator(commutator(A,A),commutator(A,A)) = commutator(A,A) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(A,A),commutator(A,A)),multiply(commutator(commutator(A,A),commutator(A,A)),commutator(A,multiply(A,commutator(commutator(A,A),commutator(A,A)))))) ),[1],$fot(commutator(A,A))]]) ).
cnf(refute_0_441,plain,
( commutator(commutator(A,A),commutator(A,A)) != multiply(commutator(commutator(A,A),commutator(A,A)),commutator(A,multiply(A,commutator(commutator(A,A),commutator(A,A)))))
| commutator(commutator(A,A),commutator(A,A)) = commutator(A,A) ),
inference(resolve,[$cnf( $equal(multiply(commutator(commutator(A,A),commutator(A,A)),commutator(A,multiply(A,commutator(commutator(A,A),commutator(A,A))))),commutator(A,A)) )],[refute_0_439,refute_0_440]) ).
cnf(refute_0_442,plain,
commutator(commutator(A,A),commutator(A,A)) = commutator(A,A),
inference(resolve,[$cnf( $equal(commutator(commutator(A,A),commutator(A,A)),multiply(commutator(commutator(A,A),commutator(A,A)),commutator(A,multiply(A,commutator(commutator(A,A),commutator(A,A)))))) )],[refute_0_431,refute_0_441]) ).
cnf(refute_0_443,plain,
commutator(commutator(X_49,X_49),commutator(X_49,X_49)) = commutator(X_49,X_49),
inference(subst,[],[refute_0_442:[bind(A,$fot(X_49))]]) ).
cnf(refute_0_444,plain,
( multiply(commutator(commutator(X_49,X_49),commutator(X_49,X_49)),C) != multiply(C,commutator(commutator(X_49,X_49),commutator(X_49,X_49)))
| commutator(commutator(X_49,X_49),commutator(X_49,X_49)) != commutator(X_49,X_49)
| multiply(commutator(commutator(X_49,X_49),commutator(X_49,X_49)),C) = multiply(C,commutator(X_49,X_49)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(commutator(X_49,X_49),commutator(X_49,X_49)),C),multiply(C,commutator(commutator(X_49,X_49),commutator(X_49,X_49)))) ),[1,1],$fot(commutator(X_49,X_49))]]) ).
cnf(refute_0_445,plain,
( multiply(commutator(commutator(X_49,X_49),commutator(X_49,X_49)),C) != multiply(C,commutator(commutator(X_49,X_49),commutator(X_49,X_49)))
| multiply(commutator(commutator(X_49,X_49),commutator(X_49,X_49)),C) = multiply(C,commutator(X_49,X_49)) ),
inference(resolve,[$cnf( $equal(commutator(commutator(X_49,X_49),commutator(X_49,X_49)),commutator(X_49,X_49)) )],[refute_0_443,refute_0_444]) ).
cnf(refute_0_446,plain,
multiply(commutator(commutator(X_49,X_49),commutator(X_49,X_49)),C) = multiply(C,commutator(X_49,X_49)),
inference(resolve,[$cnf( $equal(multiply(commutator(commutator(X_49,X_49),commutator(X_49,X_49)),C),multiply(C,commutator(commutator(X_49,X_49),commutator(X_49,X_49)))) )],[refute_0_362,refute_0_445]) ).
cnf(refute_0_447,plain,
multiply(commutator(commutator(X_49,X_49),commutator(X_49,X_49)),C) = C,
inference(subst,[],[refute_0_317:[bind(A,$fot(commutator(X_49,X_49))),bind(X_46,$fot(C))]]) ).
cnf(refute_0_448,plain,
( multiply(commutator(commutator(X_49,X_49),commutator(X_49,X_49)),C) != C
| multiply(commutator(commutator(X_49,X_49),commutator(X_49,X_49)),C) != multiply(C,commutator(X_49,X_49))
| C = multiply(C,commutator(X_49,X_49)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(commutator(X_49,X_49),commutator(X_49,X_49)),C),multiply(C,commutator(X_49,X_49))) ),[0],$fot(C)]]) ).
cnf(refute_0_449,plain,
( multiply(commutator(commutator(X_49,X_49),commutator(X_49,X_49)),C) != multiply(C,commutator(X_49,X_49))
| C = multiply(C,commutator(X_49,X_49)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(commutator(X_49,X_49),commutator(X_49,X_49)),C),C) )],[refute_0_447,refute_0_448]) ).
cnf(refute_0_450,plain,
C = multiply(C,commutator(X_49,X_49)),
inference(resolve,[$cnf( $equal(multiply(commutator(commutator(X_49,X_49),commutator(X_49,X_49)),C),multiply(C,commutator(X_49,X_49))) )],[refute_0_446,refute_0_449]) ).
cnf(refute_0_451,plain,
( C != multiply(C,commutator(X_49,X_49))
| multiply(C,commutator(X_49,X_49)) = C ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(C)),bind(Y0,$fot(multiply(C,commutator(X_49,X_49))))]]) ).
cnf(refute_0_452,plain,
multiply(C,commutator(X_49,X_49)) = C,
inference(resolve,[$cnf( $equal(C,multiply(C,commutator(X_49,X_49))) )],[refute_0_450,refute_0_451]) ).
cnf(refute_0_453,plain,
multiply(commutator(commutator(A,A),X_158),commutator(X_158,X_158)) = commutator(commutator(A,A),X_158),
inference(subst,[],[refute_0_452:[bind(C,$fot(commutator(commutator(A,A),X_158))),bind(X_49,$fot(X_158))]]) ).
cnf(refute_0_454,plain,
multiply(X_158,commutator(A,A)) = X_158,
inference(subst,[],[refute_0_452:[bind(C,$fot(X_158)),bind(X_49,$fot(A))]]) ).
cnf(refute_0_455,plain,
commutator(X_158,multiply(X_158,commutator(A,A))) = commutator(X_158,multiply(X_158,commutator(A,A))),
introduced(tautology,[refl,[$fot(commutator(X_158,multiply(X_158,commutator(A,A))))]]) ).
cnf(refute_0_456,plain,
( multiply(X_158,commutator(A,A)) != X_158
| commutator(X_158,multiply(X_158,commutator(A,A))) != commutator(X_158,multiply(X_158,commutator(A,A)))
| commutator(X_158,multiply(X_158,commutator(A,A))) = commutator(X_158,X_158) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_158,multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))) ),[1,1],$fot(X_158)]]) ).
cnf(refute_0_457,plain,
( multiply(X_158,commutator(A,A)) != X_158
| commutator(X_158,multiply(X_158,commutator(A,A))) = commutator(X_158,X_158) ),
inference(resolve,[$cnf( $equal(commutator(X_158,multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))) )],[refute_0_455,refute_0_456]) ).
cnf(refute_0_458,plain,
commutator(X_158,multiply(X_158,commutator(A,A))) = commutator(X_158,X_158),
inference(resolve,[$cnf( $equal(multiply(X_158,commutator(A,A)),X_158) )],[refute_0_454,refute_0_457]) ).
cnf(refute_0_459,plain,
multiply(commutator(commutator(A,A),X_158),commutator(X_158,multiply(X_158,commutator(A,A)))) = multiply(commutator(commutator(A,A),X_158),commutator(X_158,multiply(X_158,commutator(A,A)))),
introduced(tautology,[refl,[$fot(multiply(commutator(commutator(A,A),X_158),commutator(X_158,multiply(X_158,commutator(A,A)))))]]) ).
cnf(refute_0_460,plain,
( multiply(commutator(commutator(A,A),X_158),commutator(X_158,multiply(X_158,commutator(A,A)))) != multiply(commutator(commutator(A,A),X_158),commutator(X_158,multiply(X_158,commutator(A,A))))
| commutator(X_158,multiply(X_158,commutator(A,A))) != commutator(X_158,X_158)
| multiply(commutator(commutator(A,A),X_158),commutator(X_158,multiply(X_158,commutator(A,A)))) = multiply(commutator(commutator(A,A),X_158),commutator(X_158,X_158)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(commutator(A,A),X_158),commutator(X_158,multiply(X_158,commutator(A,A)))),multiply(commutator(commutator(A,A),X_158),commutator(X_158,multiply(X_158,commutator(A,A))))) ),[1,1],$fot(commutator(X_158,X_158))]]) ).
cnf(refute_0_461,plain,
( commutator(X_158,multiply(X_158,commutator(A,A))) != commutator(X_158,X_158)
| multiply(commutator(commutator(A,A),X_158),commutator(X_158,multiply(X_158,commutator(A,A)))) = multiply(commutator(commutator(A,A),X_158),commutator(X_158,X_158)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(commutator(A,A),X_158),commutator(X_158,multiply(X_158,commutator(A,A)))),multiply(commutator(commutator(A,A),X_158),commutator(X_158,multiply(X_158,commutator(A,A))))) )],[refute_0_459,refute_0_460]) ).
cnf(refute_0_462,plain,
multiply(commutator(commutator(A,A),X_158),commutator(X_158,multiply(X_158,commutator(A,A)))) = multiply(commutator(commutator(A,A),X_158),commutator(X_158,X_158)),
inference(resolve,[$cnf( $equal(commutator(X_158,multiply(X_158,commutator(A,A))),commutator(X_158,X_158)) )],[refute_0_458,refute_0_461]) ).
cnf(refute_0_463,plain,
commutator(commutator(A,A),multiply(X_158,commutator(A,A))) = commutator(commutator(A,A),multiply(X_158,commutator(A,A))),
introduced(tautology,[refl,[$fot(commutator(commutator(A,A),multiply(X_158,commutator(A,A))))]]) ).
cnf(refute_0_464,plain,
( multiply(X_158,commutator(A,A)) != X_158
| commutator(commutator(A,A),multiply(X_158,commutator(A,A))) != commutator(commutator(A,A),multiply(X_158,commutator(A,A)))
| commutator(commutator(A,A),multiply(X_158,commutator(A,A))) = commutator(commutator(A,A),X_158) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(commutator(A,A),multiply(X_158,commutator(A,A)))) ),[1,1],$fot(X_158)]]) ).
cnf(refute_0_465,plain,
( multiply(X_158,commutator(A,A)) != X_158
| commutator(commutator(A,A),multiply(X_158,commutator(A,A))) = commutator(commutator(A,A),X_158) ),
inference(resolve,[$cnf( $equal(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(commutator(A,A),multiply(X_158,commutator(A,A)))) )],[refute_0_463,refute_0_464]) ).
cnf(refute_0_466,plain,
commutator(commutator(A,A),multiply(X_158,commutator(A,A))) = commutator(commutator(A,A),X_158),
inference(resolve,[$cnf( $equal(multiply(X_158,commutator(A,A)),X_158) )],[refute_0_454,refute_0_465]) ).
cnf(refute_0_467,plain,
multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))) = multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))),
introduced(tautology,[refl,[$fot(multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))))]]) ).
cnf(refute_0_468,plain,
( multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))) != multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A))))
| commutator(commutator(A,A),multiply(X_158,commutator(A,A))) != commutator(commutator(A,A),X_158)
| multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))) = multiply(commutator(commutator(A,A),X_158),commutator(X_158,multiply(X_158,commutator(A,A)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))),multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A))))) ),[1,0],$fot(commutator(commutator(A,A),X_158))]]) ).
cnf(refute_0_469,plain,
( commutator(commutator(A,A),multiply(X_158,commutator(A,A))) != commutator(commutator(A,A),X_158)
| multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))) = multiply(commutator(commutator(A,A),X_158),commutator(X_158,multiply(X_158,commutator(A,A)))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))),multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A))))) )],[refute_0_467,refute_0_468]) ).
cnf(refute_0_470,plain,
multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))) = multiply(commutator(commutator(A,A),X_158),commutator(X_158,multiply(X_158,commutator(A,A)))),
inference(resolve,[$cnf( $equal(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(commutator(A,A),X_158)) )],[refute_0_466,refute_0_469]) ).
cnf(refute_0_471,plain,
( multiply(commutator(commutator(A,A),X_158),commutator(X_158,multiply(X_158,commutator(A,A)))) != multiply(commutator(commutator(A,A),X_158),commutator(X_158,X_158))
| multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))) != multiply(commutator(commutator(A,A),X_158),commutator(X_158,multiply(X_158,commutator(A,A))))
| multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))) = multiply(commutator(commutator(A,A),X_158),commutator(X_158,X_158)) ),
inference(subst,[],[refute_0_110:[bind(X0,$fot(multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))))),bind(Y0,$fot(multiply(commutator(commutator(A,A),X_158),commutator(X_158,multiply(X_158,commutator(A,A)))))),bind(Z0,$fot(multiply(commutator(commutator(A,A),X_158),commutator(X_158,X_158))))]]) ).
cnf(refute_0_472,plain,
( multiply(commutator(commutator(A,A),X_158),commutator(X_158,multiply(X_158,commutator(A,A)))) != multiply(commutator(commutator(A,A),X_158),commutator(X_158,X_158))
| multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))) = multiply(commutator(commutator(A,A),X_158),commutator(X_158,X_158)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))),multiply(commutator(commutator(A,A),X_158),commutator(X_158,multiply(X_158,commutator(A,A))))) )],[refute_0_470,refute_0_471]) ).
cnf(refute_0_473,plain,
multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))) = multiply(commutator(commutator(A,A),X_158),commutator(X_158,X_158)),
inference(resolve,[$cnf( $equal(multiply(commutator(commutator(A,A),X_158),commutator(X_158,multiply(X_158,commutator(A,A)))),multiply(commutator(commutator(A,A),X_158),commutator(X_158,X_158))) )],[refute_0_462,refute_0_472]) ).
cnf(refute_0_474,plain,
( multiply(commutator(commutator(A,A),X_158),commutator(X_158,X_158)) != commutator(commutator(A,A),X_158)
| multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))) != multiply(commutator(commutator(A,A),X_158),commutator(X_158,X_158))
| multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))) = commutator(commutator(A,A),X_158) ),
inference(subst,[],[refute_0_110:[bind(X0,$fot(multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))))),bind(Y0,$fot(multiply(commutator(commutator(A,A),X_158),commutator(X_158,X_158)))),bind(Z0,$fot(commutator(commutator(A,A),X_158)))]]) ).
cnf(refute_0_475,plain,
( multiply(commutator(commutator(A,A),X_158),commutator(X_158,X_158)) != commutator(commutator(A,A),X_158)
| multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))) = commutator(commutator(A,A),X_158) ),
inference(resolve,[$cnf( $equal(multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))),multiply(commutator(commutator(A,A),X_158),commutator(X_158,X_158))) )],[refute_0_473,refute_0_474]) ).
cnf(refute_0_476,plain,
multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))) = commutator(commutator(A,A),X_158),
inference(resolve,[$cnf( $equal(multiply(commutator(commutator(A,A),X_158),commutator(X_158,X_158)),commutator(commutator(A,A),X_158)) )],[refute_0_453,refute_0_475]) ).
cnf(refute_0_477,plain,
( multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))) != commutator(A,A)
| multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))) != commutator(commutator(A,A),X_158)
| commutator(commutator(A,A),X_158) = commutator(A,A) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))),commutator(A,A)) ),[0],$fot(commutator(commutator(A,A),X_158))]]) ).
cnf(refute_0_478,plain,
( multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))) != commutator(A,A)
| commutator(commutator(A,A),X_158) = commutator(A,A) ),
inference(resolve,[$cnf( $equal(multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))),commutator(commutator(A,A),X_158)) )],[refute_0_476,refute_0_477]) ).
cnf(refute_0_479,plain,
commutator(commutator(A,A),X_158) = commutator(A,A),
inference(resolve,[$cnf( $equal(multiply(commutator(commutator(A,A),multiply(X_158,commutator(A,A))),commutator(X_158,multiply(X_158,commutator(A,A)))),commutator(A,A)) )],[refute_0_361,refute_0_478]) ).
cnf(refute_0_480,plain,
commutator(commutator(X_254,X_255),A) = commutator(A,A),
inference(subst,[],[refute_0_201:[bind(X_165,$fot(X_254)),bind(X_166,$fot(X_255)),bind(X_242,$fot(A))]]) ).
cnf(refute_0_481,plain,
( commutator(commutator(X_254,X_255),A) != commutator(A,A)
| commutator(A,A) = commutator(commutator(X_254,X_255),A) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(commutator(commutator(X_254,X_255),A))),bind(Y0,$fot(commutator(A,A)))]]) ).
cnf(refute_0_482,plain,
commutator(A,A) = commutator(commutator(X_254,X_255),A),
inference(resolve,[$cnf( $equal(commutator(commutator(X_254,X_255),A),commutator(A,A)) )],[refute_0_480,refute_0_481]) ).
cnf(refute_0_483,plain,
( commutator(A,A) != commutator(commutator(X_254,X_255),A)
| commutator(commutator(A,A),X_158) != commutator(A,A)
| commutator(commutator(commutator(X_254,X_255),A),X_158) = commutator(A,A) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(A,A),X_158),commutator(A,A)) ),[0,0],$fot(commutator(commutator(X_254,X_255),A))]]) ).
cnf(refute_0_484,plain,
( commutator(commutator(A,A),X_158) != commutator(A,A)
| commutator(commutator(commutator(X_254,X_255),A),X_158) = commutator(A,A) ),
inference(resolve,[$cnf( $equal(commutator(A,A),commutator(commutator(X_254,X_255),A)) )],[refute_0_482,refute_0_483]) ).
cnf(refute_0_485,plain,
commutator(commutator(commutator(X_254,X_255),A),X_158) = commutator(A,A),
inference(resolve,[$cnf( $equal(commutator(commutator(A,A),X_158),commutator(A,A)) )],[refute_0_479,refute_0_484]) ).
cnf(refute_0_486,plain,
commutator(commutator(X_254,X_255),X_242) = commutator(X_242,X_242),
inference(subst,[],[refute_0_201:[bind(X_165,$fot(X_254)),bind(X_166,$fot(X_255))]]) ).
cnf(refute_0_487,plain,
( commutator(commutator(X_254,X_255),X_242) != commutator(X_242,X_242)
| commutator(X_242,X_242) = commutator(commutator(X_254,X_255),X_242) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(commutator(commutator(X_254,X_255),X_242))),bind(Y0,$fot(commutator(X_242,X_242)))]]) ).
cnf(refute_0_488,plain,
commutator(X_242,X_242) = commutator(commutator(X_254,X_255),X_242),
inference(resolve,[$cnf( $equal(commutator(commutator(X_254,X_255),X_242),commutator(X_242,X_242)) )],[refute_0_486,refute_0_487]) ).
cnf(refute_0_489,plain,
( commutator(X_242,X_242) != commutator(commutator(X_254,X_255),X_242)
| commutator(commutator(X_165,X_166),X_242) != commutator(X_242,X_242)
| commutator(commutator(X_165,X_166),X_242) = commutator(commutator(X_254,X_255),X_242) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(X_165,X_166),X_242),commutator(X_242,X_242)) ),[1],$fot(commutator(commutator(X_254,X_255),X_242))]]) ).
cnf(refute_0_490,plain,
( commutator(commutator(X_165,X_166),X_242) != commutator(X_242,X_242)
| commutator(commutator(X_165,X_166),X_242) = commutator(commutator(X_254,X_255),X_242) ),
inference(resolve,[$cnf( $equal(commutator(X_242,X_242),commutator(commutator(X_254,X_255),X_242)) )],[refute_0_488,refute_0_489]) ).
cnf(refute_0_491,plain,
commutator(commutator(X_165,X_166),X_242) = commutator(commutator(X_254,X_255),X_242),
inference(resolve,[$cnf( $equal(commutator(commutator(X_165,X_166),X_242),commutator(X_242,X_242)) )],[refute_0_201,refute_0_490]) ).
cnf(refute_0_492,plain,
commutator(commutator(commutator(X_254,X_255),A),X_158) = commutator(commutator(X_254,X_255),X_158),
inference(subst,[],[refute_0_491:[bind(X_165,$fot(commutator(X_254,X_255))),bind(X_166,$fot(A)),bind(X_242,$fot(X_158))]]) ).
cnf(refute_0_493,plain,
( commutator(commutator(commutator(X_254,X_255),A),X_158) != commutator(A,A)
| commutator(commutator(commutator(X_254,X_255),A),X_158) != commutator(commutator(X_254,X_255),X_158)
| commutator(commutator(X_254,X_255),X_158) = commutator(A,A) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(commutator(X_254,X_255),A),X_158),commutator(A,A)) ),[0],$fot(commutator(commutator(X_254,X_255),X_158))]]) ).
cnf(refute_0_494,plain,
( commutator(commutator(commutator(X_254,X_255),A),X_158) != commutator(A,A)
| commutator(commutator(X_254,X_255),X_158) = commutator(A,A) ),
inference(resolve,[$cnf( $equal(commutator(commutator(commutator(X_254,X_255),A),X_158),commutator(commutator(X_254,X_255),X_158)) )],[refute_0_492,refute_0_493]) ).
cnf(refute_0_495,plain,
commutator(commutator(X_254,X_255),X_158) = commutator(A,A),
inference(resolve,[$cnf( $equal(commutator(commutator(commutator(X_254,X_255),A),X_158),commutator(A,A)) )],[refute_0_485,refute_0_494]) ).
cnf(refute_0_496,plain,
commutator(commutator(A,B),commutator(A,B)) = commutator(A,A),
inference(subst,[],[refute_0_495:[bind(X_158,$fot(commutator(A,B))),bind(X_254,$fot(A)),bind(X_255,$fot(B))]]) ).
cnf(refute_0_497,plain,
( commutator(X_265,commutator(A,B)) != commutator(commutator(A,B),commutator(A,B))
| commutator(commutator(A,B),commutator(A,B)) != commutator(A,A)
| commutator(X_265,commutator(A,B)) = commutator(A,A) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(X_265,commutator(A,B)),commutator(A,A)) ),[0],$fot(commutator(commutator(A,B),commutator(A,B)))]]) ).
cnf(refute_0_498,plain,
( commutator(X_265,commutator(A,B)) != commutator(commutator(A,B),commutator(A,B))
| commutator(X_265,commutator(A,B)) = commutator(A,A) ),
inference(resolve,[$cnf( $equal(commutator(commutator(A,B),commutator(A,B)),commutator(A,A)) )],[refute_0_496,refute_0_497]) ).
cnf(refute_0_499,plain,
( multiply(commutator(X_265,commutator(A,B)),commutator(commutator(A,B),multiply(commutator(A,B),X_265))) != commutator(commutator(A,B),commutator(A,B))
| commutator(X_265,commutator(A,B)) = commutator(A,A) ),
inference(resolve,[$cnf( $equal(commutator(X_265,commutator(A,B)),commutator(commutator(A,B),commutator(A,B))) )],[refute_0_326,refute_0_498]) ).
cnf(refute_0_500,plain,
commutator(X_265,commutator(A,B)) = commutator(A,A),
inference(resolve,[$cnf( $equal(multiply(commutator(X_265,commutator(A,B)),commutator(commutator(A,B),multiply(commutator(A,B),X_265))),commutator(commutator(A,B),commutator(A,B))) )],[refute_0_295,refute_0_499]) ).
cnf(refute_0_501,plain,
commutator(a,commutator(b,c)) = commutator(b,b),
inference(subst,[],[refute_0_500:[bind(A,$fot(b)),bind(B,$fot(c)),bind(X_265,$fot(a))]]) ).
cnf(refute_0_502,plain,
( commutator(a,commutator(b,c)) != commutator(b,b)
| commutator(c,c) != commutator(b,b)
| commutator(c,c) = commutator(a,commutator(b,c)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(commutator(c,c),commutator(a,commutator(b,c))) ),[1],$fot(commutator(b,b))]]) ).
cnf(refute_0_503,plain,
( commutator(c,c) != commutator(b,b)
| commutator(c,c) = commutator(a,commutator(b,c)) ),
inference(resolve,[$cnf( $equal(commutator(a,commutator(b,c)),commutator(b,b)) )],[refute_0_501,refute_0_502]) ).
cnf(refute_0_504,plain,
commutator(c,c) != commutator(b,b),
inference(resolve,[$cnf( $equal(commutator(c,c),commutator(a,commutator(b,c))) )],[refute_0_503,refute_0_205]) ).
cnf(refute_0_505,plain,
( multiply(A,B) != multiply(A,multiply(commutator(A,commutator(A,A)),X_52))
| B = multiply(commutator(A,commutator(A,A)),X_52) ),
inference(subst,[],[left_cancellation:[bind(C,$fot(multiply(commutator(A,commutator(A,A)),X_52)))]]) ).
cnf(refute_0_506,plain,
multiply(multiply(X,commutator(X,commutator(X,X))),Z) = multiply(X,multiply(commutator(X,commutator(X,X)),Z)),
inference(subst,[],[associativity_of_multiply:[bind(Y,$fot(commutator(X,commutator(X,X))))]]) ).
cnf(refute_0_507,plain,
multiply(A,commutator(A,A)) = multiply(commutator(A,A),multiply(A,commutator(A,commutator(A,A)))),
inference(subst,[],[commutator:[bind(B,$fot(commutator(A,A)))]]) ).
cnf(refute_0_508,plain,
( multiply(A,commutator(A,A)) != A
| multiply(A,commutator(A,A)) != multiply(commutator(A,A),multiply(A,commutator(A,commutator(A,A))))
| A = multiply(commutator(A,A),multiply(A,commutator(A,commutator(A,A)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,commutator(A,A)),multiply(commutator(A,A),multiply(A,commutator(A,commutator(A,A))))) ),[0],$fot(A)]]) ).
cnf(refute_0_509,plain,
( multiply(A,commutator(A,A)) != multiply(commutator(A,A),multiply(A,commutator(A,commutator(A,A))))
| A = multiply(commutator(A,A),multiply(A,commutator(A,commutator(A,A)))) ),
inference(resolve,[$cnf( $equal(multiply(A,commutator(A,A)),A) )],[refute_0_14,refute_0_508]) ).
cnf(refute_0_510,plain,
A = multiply(commutator(A,A),multiply(A,commutator(A,commutator(A,A)))),
inference(resolve,[$cnf( $equal(multiply(A,commutator(A,A)),multiply(commutator(A,A),multiply(A,commutator(A,commutator(A,A))))) )],[refute_0_507,refute_0_509]) ).
cnf(refute_0_511,plain,
( multiply(X,Z) != multiply(X,multiply(commutator(X,X),Z))
| multiply(X,multiply(commutator(X,X),Z)) = multiply(X,Z) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(X,Z))),bind(Y0,$fot(multiply(X,multiply(commutator(X,X),Z))))]]) ).
cnf(refute_0_512,plain,
multiply(X,multiply(commutator(X,X),Z)) = multiply(X,Z),
inference(resolve,[$cnf( $equal(multiply(X,Z),multiply(X,multiply(commutator(X,X),Z))) )],[refute_0_306,refute_0_511]) ).
cnf(refute_0_513,plain,
multiply(A,multiply(commutator(A,A),commutator(A,commutator(A,A)))) = multiply(A,commutator(A,commutator(A,A))),
inference(subst,[],[refute_0_512:[bind(X,$fot(A)),bind(Z,$fot(commutator(A,commutator(A,A))))]]) ).
cnf(refute_0_514,plain,
multiply(A,multiply(commutator(A,commutator(A,A)),commutator(A,A))) = multiply(A,multiply(commutator(A,A),commutator(A,commutator(A,A)))),
inference(subst,[],[refute_0_240:[bind(B,$fot(A)),bind(X_13,$fot(A)),bind(X_15,$fot(commutator(A,commutator(A,A))))]]) ).
cnf(refute_0_515,plain,
( multiply(A,multiply(commutator(A,A),commutator(A,commutator(A,A)))) != multiply(A,commutator(A,commutator(A,A)))
| multiply(A,multiply(commutator(A,commutator(A,A)),commutator(A,A))) != multiply(A,multiply(commutator(A,A),commutator(A,commutator(A,A))))
| multiply(A,multiply(commutator(A,commutator(A,A)),commutator(A,A))) = multiply(A,commutator(A,commutator(A,A))) ),
inference(subst,[],[refute_0_110:[bind(X0,$fot(multiply(A,multiply(commutator(A,commutator(A,A)),commutator(A,A))))),bind(Y0,$fot(multiply(A,multiply(commutator(A,A),commutator(A,commutator(A,A)))))),bind(Z0,$fot(multiply(A,commutator(A,commutator(A,A)))))]]) ).
cnf(refute_0_516,plain,
( multiply(A,multiply(commutator(A,A),commutator(A,commutator(A,A)))) != multiply(A,commutator(A,commutator(A,A)))
| multiply(A,multiply(commutator(A,commutator(A,A)),commutator(A,A))) = multiply(A,commutator(A,commutator(A,A))) ),
inference(resolve,[$cnf( $equal(multiply(A,multiply(commutator(A,commutator(A,A)),commutator(A,A))),multiply(A,multiply(commutator(A,A),commutator(A,commutator(A,A))))) )],[refute_0_514,refute_0_515]) ).
cnf(refute_0_517,plain,
multiply(A,multiply(commutator(A,commutator(A,A)),commutator(A,A))) = multiply(A,commutator(A,commutator(A,A))),
inference(resolve,[$cnf( $equal(multiply(A,multiply(commutator(A,A),commutator(A,commutator(A,A)))),multiply(A,commutator(A,commutator(A,A)))) )],[refute_0_513,refute_0_516]) ).
cnf(refute_0_518,plain,
multiply(commutator(A,A),multiply(A,commutator(A,commutator(A,A)))) = multiply(A,multiply(commutator(A,commutator(A,A)),commutator(A,A))),
inference(subst,[],[refute_0_256:[bind(B,$fot(A)),bind(X_14,$fot(A)),bind(X_15,$fot(commutator(A,commutator(A,A))))]]) ).
cnf(refute_0_519,plain,
( multiply(A,multiply(commutator(A,commutator(A,A)),commutator(A,A))) != multiply(A,commutator(A,commutator(A,A)))
| multiply(commutator(A,A),multiply(A,commutator(A,commutator(A,A)))) != multiply(A,multiply(commutator(A,commutator(A,A)),commutator(A,A)))
| multiply(commutator(A,A),multiply(A,commutator(A,commutator(A,A)))) = multiply(A,commutator(A,commutator(A,A))) ),
inference(subst,[],[refute_0_110:[bind(X0,$fot(multiply(commutator(A,A),multiply(A,commutator(A,commutator(A,A)))))),bind(Y0,$fot(multiply(A,multiply(commutator(A,commutator(A,A)),commutator(A,A))))),bind(Z0,$fot(multiply(A,commutator(A,commutator(A,A)))))]]) ).
cnf(refute_0_520,plain,
( multiply(A,multiply(commutator(A,commutator(A,A)),commutator(A,A))) != multiply(A,commutator(A,commutator(A,A)))
| multiply(commutator(A,A),multiply(A,commutator(A,commutator(A,A)))) = multiply(A,commutator(A,commutator(A,A))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(A,A),multiply(A,commutator(A,commutator(A,A)))),multiply(A,multiply(commutator(A,commutator(A,A)),commutator(A,A)))) )],[refute_0_518,refute_0_519]) ).
cnf(refute_0_521,plain,
multiply(commutator(A,A),multiply(A,commutator(A,commutator(A,A)))) = multiply(A,commutator(A,commutator(A,A))),
inference(resolve,[$cnf( $equal(multiply(A,multiply(commutator(A,commutator(A,A)),commutator(A,A))),multiply(A,commutator(A,commutator(A,A)))) )],[refute_0_517,refute_0_520]) ).
cnf(refute_0_522,plain,
( A != multiply(commutator(A,A),multiply(A,commutator(A,commutator(A,A))))
| multiply(commutator(A,A),multiply(A,commutator(A,commutator(A,A)))) != multiply(A,commutator(A,commutator(A,A)))
| A = multiply(A,commutator(A,commutator(A,A))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(A,multiply(A,commutator(A,commutator(A,A)))) ),[0],$fot(multiply(commutator(A,A),multiply(A,commutator(A,commutator(A,A)))))]]) ).
cnf(refute_0_523,plain,
( A != multiply(commutator(A,A),multiply(A,commutator(A,commutator(A,A))))
| A = multiply(A,commutator(A,commutator(A,A))) ),
inference(resolve,[$cnf( $equal(multiply(commutator(A,A),multiply(A,commutator(A,commutator(A,A)))),multiply(A,commutator(A,commutator(A,A)))) )],[refute_0_521,refute_0_522]) ).
cnf(refute_0_524,plain,
A = multiply(A,commutator(A,commutator(A,A))),
inference(resolve,[$cnf( $equal(A,multiply(commutator(A,A),multiply(A,commutator(A,commutator(A,A))))) )],[refute_0_510,refute_0_523]) ).
cnf(refute_0_525,plain,
X = multiply(X,commutator(X,commutator(X,X))),
inference(subst,[],[refute_0_524:[bind(A,$fot(X))]]) ).
cnf(refute_0_526,plain,
( X != multiply(X,commutator(X,commutator(X,X)))
| multiply(X,commutator(X,commutator(X,X))) = X ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(X)),bind(Y0,$fot(multiply(X,commutator(X,commutator(X,X)))))]]) ).
cnf(refute_0_527,plain,
multiply(X,commutator(X,commutator(X,X))) = X,
inference(resolve,[$cnf( $equal(X,multiply(X,commutator(X,commutator(X,X)))) )],[refute_0_525,refute_0_526]) ).
cnf(refute_0_528,plain,
( multiply(X,commutator(X,commutator(X,X))) != X
| multiply(multiply(X,commutator(X,commutator(X,X))),Z) != multiply(X,multiply(commutator(X,commutator(X,X)),Z))
| multiply(X,Z) = multiply(X,multiply(commutator(X,commutator(X,X)),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X,commutator(X,commutator(X,X))),Z),multiply(X,multiply(commutator(X,commutator(X,X)),Z))) ),[0,0],$fot(X)]]) ).
cnf(refute_0_529,plain,
( multiply(multiply(X,commutator(X,commutator(X,X))),Z) != multiply(X,multiply(commutator(X,commutator(X,X)),Z))
| multiply(X,Z) = multiply(X,multiply(commutator(X,commutator(X,X)),Z)) ),
inference(resolve,[$cnf( $equal(multiply(X,commutator(X,commutator(X,X))),X) )],[refute_0_527,refute_0_528]) ).
cnf(refute_0_530,plain,
multiply(X,Z) = multiply(X,multiply(commutator(X,commutator(X,X)),Z)),
inference(resolve,[$cnf( $equal(multiply(multiply(X,commutator(X,commutator(X,X))),Z),multiply(X,multiply(commutator(X,commutator(X,X)),Z))) )],[refute_0_506,refute_0_529]) ).
cnf(refute_0_531,plain,
multiply(A,X_52) = multiply(A,multiply(commutator(A,commutator(A,A)),X_52)),
inference(subst,[],[refute_0_530:[bind(X,$fot(A)),bind(Z,$fot(X_52))]]) ).
cnf(refute_0_532,plain,
( multiply(A,X_52) != multiply(A,multiply(commutator(A,commutator(A,A)),X_52))
| multiply(A,multiply(commutator(A,commutator(A,A)),X_52)) = multiply(A,X_52) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(A,X_52))),bind(Y0,$fot(multiply(A,multiply(commutator(A,commutator(A,A)),X_52))))]]) ).
cnf(refute_0_533,plain,
multiply(A,multiply(commutator(A,commutator(A,A)),X_52)) = multiply(A,X_52),
inference(resolve,[$cnf( $equal(multiply(A,X_52),multiply(A,multiply(commutator(A,commutator(A,A)),X_52))) )],[refute_0_531,refute_0_532]) ).
cnf(refute_0_534,plain,
( multiply(A,B) != multiply(A,X_52)
| multiply(A,multiply(commutator(A,commutator(A,A)),X_52)) != multiply(A,X_52)
| multiply(A,B) = multiply(A,multiply(commutator(A,commutator(A,A)),X_52)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,B),multiply(A,multiply(commutator(A,commutator(A,A)),X_52))) ),[1],$fot(multiply(A,X_52))]]) ).
cnf(refute_0_535,plain,
( multiply(A,B) != multiply(A,X_52)
| multiply(A,B) = multiply(A,multiply(commutator(A,commutator(A,A)),X_52)) ),
inference(resolve,[$cnf( $equal(multiply(A,multiply(commutator(A,commutator(A,A)),X_52)),multiply(A,X_52)) )],[refute_0_533,refute_0_534]) ).
cnf(refute_0_536,plain,
( multiply(A,B) != multiply(A,X_52)
| B = multiply(commutator(A,commutator(A,A)),X_52) ),
inference(resolve,[$cnf( $equal(multiply(A,B),multiply(A,multiply(commutator(A,commutator(A,A)),X_52))) )],[refute_0_535,refute_0_505]) ).
cnf(refute_0_537,plain,
( multiply(A,X_52) != multiply(A,X_52)
| X_52 = multiply(commutator(A,commutator(A,A)),X_52) ),
inference(subst,[],[refute_0_536:[bind(B,$fot(X_52))]]) ).
cnf(refute_0_538,plain,
multiply(A,X_52) = multiply(A,X_52),
introduced(tautology,[refl,[$fot(multiply(A,X_52))]]) ).
cnf(refute_0_539,plain,
X_52 = multiply(commutator(A,commutator(A,A)),X_52),
inference(resolve,[$cnf( $equal(multiply(A,X_52),multiply(A,X_52)) )],[refute_0_538,refute_0_537]) ).
cnf(refute_0_540,plain,
commutator(X_64,X_64) = multiply(commutator(A,commutator(A,A)),commutator(X_64,X_64)),
inference(subst,[],[refute_0_539:[bind(X_52,$fot(commutator(X_64,X_64)))]]) ).
cnf(refute_0_541,plain,
commutator(A,commutator(A,A)) = multiply(commutator(A,commutator(A,A)),commutator(X_64,X_64)),
inference(subst,[],[refute_0_450:[bind(C,$fot(commutator(A,commutator(A,A)))),bind(X_49,$fot(X_64))]]) ).
cnf(refute_0_542,plain,
( commutator(A,commutator(A,A)) != multiply(commutator(A,commutator(A,A)),commutator(X_64,X_64))
| multiply(commutator(A,commutator(A,A)),commutator(X_64,X_64)) = commutator(A,commutator(A,A)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(commutator(A,commutator(A,A)))),bind(Y0,$fot(multiply(commutator(A,commutator(A,A)),commutator(X_64,X_64))))]]) ).
cnf(refute_0_543,plain,
multiply(commutator(A,commutator(A,A)),commutator(X_64,X_64)) = commutator(A,commutator(A,A)),
inference(resolve,[$cnf( $equal(commutator(A,commutator(A,A)),multiply(commutator(A,commutator(A,A)),commutator(X_64,X_64))) )],[refute_0_541,refute_0_542]) ).
cnf(refute_0_544,plain,
( multiply(commutator(A,commutator(A,A)),commutator(X_64,X_64)) != commutator(A,commutator(A,A))
| commutator(X_64,X_64) != multiply(commutator(A,commutator(A,A)),commutator(X_64,X_64))
| commutator(X_64,X_64) = commutator(A,commutator(A,A)) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_64,X_64),multiply(commutator(A,commutator(A,A)),commutator(X_64,X_64))) ),[1],$fot(commutator(A,commutator(A,A)))]]) ).
cnf(refute_0_545,plain,
( commutator(X_64,X_64) != multiply(commutator(A,commutator(A,A)),commutator(X_64,X_64))
| commutator(X_64,X_64) = commutator(A,commutator(A,A)) ),
inference(resolve,[$cnf( $equal(multiply(commutator(A,commutator(A,A)),commutator(X_64,X_64)),commutator(A,commutator(A,A))) )],[refute_0_543,refute_0_544]) ).
cnf(refute_0_546,plain,
commutator(X_64,X_64) = commutator(A,commutator(A,A)),
inference(resolve,[$cnf( $equal(commutator(X_64,X_64),multiply(commutator(A,commutator(A,A)),commutator(X_64,X_64))) )],[refute_0_540,refute_0_545]) ).
cnf(refute_0_547,plain,
commutator(commutator(A,A),commutator(A,A)) = commutator(A,commutator(A,A)),
inference(subst,[],[refute_0_546:[bind(X_64,$fot(commutator(A,A)))]]) ).
cnf(refute_0_548,plain,
( commutator(commutator(A,A),commutator(A,A)) != commutator(A,A)
| commutator(commutator(A,A),commutator(A,A)) != commutator(A,commutator(A,A))
| commutator(A,commutator(A,A)) = commutator(A,A) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(commutator(A,A),commutator(A,A)),commutator(A,A)) ),[0],$fot(commutator(A,commutator(A,A)))]]) ).
cnf(refute_0_549,plain,
( commutator(commutator(A,A),commutator(A,A)) != commutator(A,A)
| commutator(A,commutator(A,A)) = commutator(A,A) ),
inference(resolve,[$cnf( $equal(commutator(commutator(A,A),commutator(A,A)),commutator(A,commutator(A,A))) )],[refute_0_547,refute_0_548]) ).
cnf(refute_0_550,plain,
commutator(A,commutator(A,A)) = commutator(A,A),
inference(resolve,[$cnf( $equal(commutator(commutator(A,A),commutator(A,A)),commutator(A,A)) )],[refute_0_442,refute_0_549]) ).
cnf(refute_0_551,plain,
( commutator(A,commutator(A,A)) != commutator(A,A)
| commutator(X_64,X_64) != commutator(A,commutator(A,A))
| commutator(X_64,X_64) = commutator(A,A) ),
introduced(tautology,[equality,[$cnf( $equal(commutator(X_64,X_64),commutator(A,commutator(A,A))) ),[1],$fot(commutator(A,A))]]) ).
cnf(refute_0_552,plain,
( commutator(X_64,X_64) != commutator(A,commutator(A,A))
| commutator(X_64,X_64) = commutator(A,A) ),
inference(resolve,[$cnf( $equal(commutator(A,commutator(A,A)),commutator(A,A)) )],[refute_0_550,refute_0_551]) ).
cnf(refute_0_553,plain,
commutator(X_64,X_64) = commutator(A,A),
inference(resolve,[$cnf( $equal(commutator(X_64,X_64),commutator(A,commutator(A,A))) )],[refute_0_546,refute_0_552]) ).
cnf(refute_0_554,plain,
( commutator(X_64,X_64) != commutator(A,A)
| commutator(A,A) = commutator(X_64,X_64) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(commutator(X_64,X_64))),bind(Y0,$fot(commutator(A,A)))]]) ).
cnf(refute_0_555,plain,
commutator(A,A) = commutator(X_64,X_64),
inference(resolve,[$cnf( $equal(commutator(X_64,X_64),commutator(A,A)) )],[refute_0_553,refute_0_554]) ).
cnf(refute_0_556,plain,
commutator(c,c) = commutator(b,b),
inference(subst,[],[refute_0_555:[bind(A,$fot(c)),bind(X_64,$fot(b))]]) ).
cnf(refute_0_557,plain,
$false,
inference(resolve,[$cnf( $equal(commutator(c,c),commutator(b,b)) )],[refute_0_556,refute_0_504]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP402-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 11:59:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 16.13/16.32 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.13/16.32
% 16.13/16.32 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 16.21/16.39
%------------------------------------------------------------------------------