%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP085-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 10:34:37 EDT 2022
% Result : Unsatisfiable 1.30s 1.49s
% Output : CNFRefutation 1.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 104
% Number of leaves : 197
% Syntax : Number of clauses : 845 ( 428 unt; 0 nHn; 403 RR)
% Number of literals : 1459 (1458 equ; 622 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 2428 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
multiply(multiply(multiply(X,Y),Z),inverse(multiply(X,Z))) = Y ).
cnf(prove_these_axioms,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ) ).
cnf(refute_0_0,plain,
multiply(multiply(multiply(multiply(X_0,X_1),Y),inverse(multiply(X_0,Y))),inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,Y))))) = Y,
inference(subst,[],[single_axiom:[bind(X,$fot(multiply(X_0,X_1))),bind(Z,$fot(inverse(multiply(X_0,Y))))]]) ).
cnf(refute_0_1,plain,
multiply(multiply(multiply(X_0,X_1),Y),inverse(multiply(X_0,Y))) = X_1,
inference(subst,[],[single_axiom:[bind(X,$fot(X_0)),bind(Y,$fot(X_1)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_2,plain,
( multiply(multiply(multiply(X_0,X_1),Y),inverse(multiply(X_0,Y))) != X_1
| multiply(multiply(multiply(multiply(X_0,X_1),Y),inverse(multiply(X_0,Y))),inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,Y))))) != Y
| multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,Y))))) = Y ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(multiply(X_0,X_1),Y),inverse(multiply(X_0,Y))),inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,Y))))),Y) ),[0,0],$fot(X_1)]]) ).
cnf(refute_0_3,plain,
( multiply(multiply(multiply(multiply(X_0,X_1),Y),inverse(multiply(X_0,Y))),inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,Y))))) != Y
| multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,Y))))) = Y ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_0,X_1),Y),inverse(multiply(X_0,Y))),X_1) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,Y))))) = Y,
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(X_0,X_1),Y),inverse(multiply(X_0,Y))),inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,Y))))),Y) )],[refute_0_0,refute_0_3]) ).
cnf(refute_0_5,plain,
multiply(multiply(multiply(multiply(multiply(X_0,X_1),X_2),inverse(multiply(X_0,X_2))),Z),inverse(multiply(multiply(multiply(X_0,X_1),X_2),Z))) = inverse(multiply(X_0,X_2)),
inference(subst,[],[single_axiom:[bind(X,$fot(multiply(multiply(X_0,X_1),X_2))),bind(Y,$fot(inverse(multiply(X_0,X_2))))]]) ).
cnf(refute_0_6,plain,
multiply(multiply(multiply(X_0,X_1),X_2),inverse(multiply(X_0,X_2))) = X_1,
inference(subst,[],[single_axiom:[bind(X,$fot(X_0)),bind(Y,$fot(X_1)),bind(Z,$fot(X_2))]]) ).
cnf(refute_0_7,plain,
( multiply(multiply(multiply(X_0,X_1),X_2),inverse(multiply(X_0,X_2))) != X_1
| multiply(multiply(multiply(multiply(multiply(X_0,X_1),X_2),inverse(multiply(X_0,X_2))),Z),inverse(multiply(multiply(multiply(X_0,X_1),X_2),Z))) != inverse(multiply(X_0,X_2))
| multiply(multiply(X_1,Z),inverse(multiply(multiply(multiply(X_0,X_1),X_2),Z))) = inverse(multiply(X_0,X_2)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(X_0,X_1),X_2),inverse(multiply(X_0,X_2))),Z),inverse(multiply(multiply(multiply(X_0,X_1),X_2),Z))),inverse(multiply(X_0,X_2))) ),[0,0,0],$fot(X_1)]]) ).
cnf(refute_0_8,plain,
( multiply(multiply(multiply(multiply(multiply(X_0,X_1),X_2),inverse(multiply(X_0,X_2))),Z),inverse(multiply(multiply(multiply(X_0,X_1),X_2),Z))) != inverse(multiply(X_0,X_2))
| multiply(multiply(X_1,Z),inverse(multiply(multiply(multiply(X_0,X_1),X_2),Z))) = inverse(multiply(X_0,X_2)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_0,X_1),X_2),inverse(multiply(X_0,X_2))),X_1) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
multiply(multiply(X_1,Z),inverse(multiply(multiply(multiply(X_0,X_1),X_2),Z))) = inverse(multiply(X_0,X_2)),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(X_0,X_1),X_2),inverse(multiply(X_0,X_2))),Z),inverse(multiply(multiply(multiply(X_0,X_1),X_2),Z))),inverse(multiply(X_0,X_2))) )],[refute_0_5,refute_0_8]) ).
cnf(refute_0_10,plain,
multiply(multiply(X_1,inverse(X_12)),inverse(multiply(multiply(multiply(multiply(multiply(X_11,X_12),X_13),X_1),inverse(multiply(X_11,X_13))),inverse(X_12)))) = inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13)))),
inference(subst,[],[refute_0_9:[bind(Z,$fot(inverse(X_12))),bind(X_0,$fot(multiply(multiply(X_11,X_12),X_13))),bind(X_2,$fot(inverse(multiply(X_11,X_13))))]]) ).
cnf(refute_0_11,plain,
multiply(multiply(multiply(multiply(multiply(X_0,X_1),X_2),Y),inverse(multiply(X_0,X_2))),inverse(multiply(multiply(multiply(X_0,X_1),X_2),inverse(multiply(X_0,X_2))))) = Y,
inference(subst,[],[single_axiom:[bind(X,$fot(multiply(multiply(X_0,X_1),X_2))),bind(Z,$fot(inverse(multiply(X_0,X_2))))]]) ).
cnf(refute_0_12,plain,
( multiply(multiply(multiply(X_0,X_1),X_2),inverse(multiply(X_0,X_2))) != X_1
| multiply(multiply(multiply(multiply(multiply(X_0,X_1),X_2),Y),inverse(multiply(X_0,X_2))),inverse(multiply(multiply(multiply(X_0,X_1),X_2),inverse(multiply(X_0,X_2))))) != Y
| multiply(multiply(multiply(multiply(multiply(X_0,X_1),X_2),Y),inverse(multiply(X_0,X_2))),inverse(X_1)) = Y ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(X_0,X_1),X_2),Y),inverse(multiply(X_0,X_2))),inverse(multiply(multiply(multiply(X_0,X_1),X_2),inverse(multiply(X_0,X_2))))),Y) ),[0,1,0],$fot(X_1)]]) ).
cnf(refute_0_13,plain,
( multiply(multiply(multiply(multiply(multiply(X_0,X_1),X_2),Y),inverse(multiply(X_0,X_2))),inverse(multiply(multiply(multiply(X_0,X_1),X_2),inverse(multiply(X_0,X_2))))) != Y
| multiply(multiply(multiply(multiply(multiply(X_0,X_1),X_2),Y),inverse(multiply(X_0,X_2))),inverse(X_1)) = Y ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_0,X_1),X_2),inverse(multiply(X_0,X_2))),X_1) )],[refute_0_6,refute_0_12]) ).
cnf(refute_0_14,plain,
multiply(multiply(multiply(multiply(multiply(X_0,X_1),X_2),Y),inverse(multiply(X_0,X_2))),inverse(X_1)) = Y,
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(X_0,X_1),X_2),Y),inverse(multiply(X_0,X_2))),inverse(multiply(multiply(multiply(X_0,X_1),X_2),inverse(multiply(X_0,X_2))))),Y) )],[refute_0_11,refute_0_13]) ).
cnf(refute_0_15,plain,
multiply(multiply(multiply(multiply(multiply(X_11,X_12),X_13),X_1),inverse(multiply(X_11,X_13))),inverse(X_12)) = X_1,
inference(subst,[],[refute_0_14:[bind(Y,$fot(X_1)),bind(X_0,$fot(X_11)),bind(X_1,$fot(X_12)),bind(X_2,$fot(X_13))]]) ).
cnf(refute_0_16,plain,
( multiply(multiply(X_1,inverse(X_12)),inverse(multiply(multiply(multiply(multiply(multiply(X_11,X_12),X_13),X_1),inverse(multiply(X_11,X_13))),inverse(X_12)))) != inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13))))
| multiply(multiply(multiply(multiply(multiply(X_11,X_12),X_13),X_1),inverse(multiply(X_11,X_13))),inverse(X_12)) != X_1
| multiply(multiply(X_1,inverse(X_12)),inverse(X_1)) = inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_1,inverse(X_12)),inverse(multiply(multiply(multiply(multiply(multiply(X_11,X_12),X_13),X_1),inverse(multiply(X_11,X_13))),inverse(X_12)))),inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13))))) ),[0,1,0],$fot(X_1)]]) ).
cnf(refute_0_17,plain,
( multiply(multiply(X_1,inverse(X_12)),inverse(multiply(multiply(multiply(multiply(multiply(X_11,X_12),X_13),X_1),inverse(multiply(X_11,X_13))),inverse(X_12)))) != inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13))))
| multiply(multiply(X_1,inverse(X_12)),inverse(X_1)) = inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(X_11,X_12),X_13),X_1),inverse(multiply(X_11,X_13))),inverse(X_12)),X_1) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
multiply(multiply(X_1,inverse(X_12)),inverse(X_1)) = inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_1,inverse(X_12)),inverse(multiply(multiply(multiply(multiply(multiply(X_11,X_12),X_13),X_1),inverse(multiply(X_11,X_13))),inverse(X_12)))),inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13))))) )],[refute_0_10,refute_0_17]) ).
cnf(refute_0_19,plain,
multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13))) = X_12,
inference(subst,[],[single_axiom:[bind(X,$fot(X_11)),bind(Y,$fot(X_12)),bind(Z,$fot(X_13))]]) ).
cnf(refute_0_20,plain,
inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13)))) = inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13)))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13)))))]]) ).
cnf(refute_0_21,plain,
( multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13))) != X_12
| inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13)))) != inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13))))
| inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13)))) = inverse(X_12) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13)))),inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13))))) ),[1,0],$fot(X_12)]]) ).
cnf(refute_0_22,plain,
( multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13))) != X_12
| inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13)))) = inverse(X_12) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13)))),inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13))))) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13)))) = inverse(X_12),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13))),X_12) )],[refute_0_19,refute_0_22]) ).
cnf(refute_0_24,plain,
( multiply(multiply(X_1,inverse(X_12)),inverse(X_1)) != inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13))))
| inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13)))) != inverse(X_12)
| multiply(multiply(X_1,inverse(X_12)),inverse(X_1)) = inverse(X_12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_1,inverse(X_12)),inverse(X_1)),inverse(X_12)) ),[0],$fot(inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13)))))]]) ).
cnf(refute_0_25,plain,
( multiply(multiply(X_1,inverse(X_12)),inverse(X_1)) != inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13))))
| multiply(multiply(X_1,inverse(X_12)),inverse(X_1)) = inverse(X_12) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13)))),inverse(X_12)) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
multiply(multiply(X_1,inverse(X_12)),inverse(X_1)) = inverse(X_12),
inference(resolve,[$cnf( $equal(multiply(multiply(X_1,inverse(X_12)),inverse(X_1)),inverse(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(X_11,X_13))))) )],[refute_0_18,refute_0_25]) ).
cnf(refute_0_27,plain,
multiply(multiply(multiply(multiply(X,Y),Z),inverse(multiply(X,Z))),inverse(multiply(multiply(X,Y),Z))) = inverse(multiply(X,Z)),
inference(subst,[],[refute_0_26:[bind(X_1,$fot(multiply(multiply(X,Y),Z))),bind(X_12,$fot(multiply(X,Z)))]]) ).
cnf(refute_0_28,plain,
( multiply(multiply(multiply(X,Y),Z),inverse(multiply(X,Z))) != Y
| multiply(multiply(multiply(multiply(X,Y),Z),inverse(multiply(X,Z))),inverse(multiply(multiply(X,Y),Z))) != inverse(multiply(X,Z))
| multiply(Y,inverse(multiply(multiply(X,Y),Z))) = inverse(multiply(X,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(multiply(X,Y),Z),inverse(multiply(X,Z))),inverse(multiply(multiply(X,Y),Z))),inverse(multiply(X,Z))) ),[0,0],$fot(Y)]]) ).
cnf(refute_0_29,plain,
( multiply(multiply(multiply(multiply(X,Y),Z),inverse(multiply(X,Z))),inverse(multiply(multiply(X,Y),Z))) != inverse(multiply(X,Z))
| multiply(Y,inverse(multiply(multiply(X,Y),Z))) = inverse(multiply(X,Z)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X,Y),Z),inverse(multiply(X,Z))),Y) )],[single_axiom,refute_0_28]) ).
cnf(refute_0_30,plain,
multiply(Y,inverse(multiply(multiply(X,Y),Z))) = inverse(multiply(X,Z)),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(X,Y),Z),inverse(multiply(X,Z))),inverse(multiply(multiply(X,Y),Z))),inverse(multiply(X,Z))) )],[refute_0_27,refute_0_29]) ).
cnf(refute_0_31,plain,
multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,Y))))) = inverse(multiply(X_0,inverse(multiply(X_0,Y)))),
inference(subst,[],[refute_0_30:[bind(X,$fot(X_0)),bind(Y,$fot(X_1)),bind(Z,$fot(inverse(multiply(X_0,Y))))]]) ).
cnf(refute_0_32,plain,
( multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,Y))))) != Y
| multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,Y))))) != inverse(multiply(X_0,inverse(multiply(X_0,Y))))
| inverse(multiply(X_0,inverse(multiply(X_0,Y)))) = Y ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,Y))))),Y) ),[0],$fot(inverse(multiply(X_0,inverse(multiply(X_0,Y)))))]]) ).
cnf(refute_0_33,plain,
( multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,Y))))) != Y
| inverse(multiply(X_0,inverse(multiply(X_0,Y)))) = Y ),
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,Y))))),inverse(multiply(X_0,inverse(multiply(X_0,Y))))) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
inverse(multiply(X_0,inverse(multiply(X_0,Y)))) = Y,
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,Y))))),Y) )],[refute_0_4,refute_0_33]) ).
cnf(refute_0_35,plain,
multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))))))) = inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3)))),
inference(subst,[],[refute_0_4:[bind(Y,$fot(inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))))]]) ).
cnf(refute_0_36,plain,
multiply(X_0,inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))) = X_3,
inference(subst,[],[refute_0_4:[bind(Y,$fot(X_3)),bind(X_0,$fot(X_4)),bind(X_1,$fot(X_0))]]) ).
cnf(refute_0_37,plain,
( multiply(X_0,inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))) != X_3
| multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))))))) != inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))
| multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(X_3)))) = inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))))))),inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))) ),[0,1,0,1,0],$fot(X_3)]]) ).
cnf(refute_0_38,plain,
( multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))))))) != inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))
| multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(X_3)))) = inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3)))) ),
inference(resolve,[$cnf( $equal(multiply(X_0,inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))),X_3) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(X_3)))) = inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3)))),
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(multiply(X_0,inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))))))),inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))) )],[refute_0_35,refute_0_38]) ).
cnf(refute_0_40,plain,
multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(X_3)))) = inverse(multiply(X_0,inverse(X_3))),
inference(subst,[],[refute_0_30:[bind(X,$fot(X_0)),bind(Y,$fot(X_1)),bind(Z,$fot(inverse(X_3)))]]) ).
cnf(refute_0_41,plain,
( multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(X_3)))) != inverse(multiply(X_0,inverse(X_3)))
| multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(X_3)))) != inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))
| inverse(multiply(X_0,inverse(X_3))) = inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(X_3)))),inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))) ),[0],$fot(inverse(multiply(X_0,inverse(X_3))))]]) ).
cnf(refute_0_42,plain,
( multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(X_3)))) != inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))
| inverse(multiply(X_0,inverse(X_3))) = inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3)))) ),
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(X_3)))),inverse(multiply(X_0,inverse(X_3)))) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
multiply(multiply(X_14,inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,Y))))),inverse(X_14)) = inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,Y)))),
inference(subst,[],[refute_0_26:[bind(X_1,$fot(X_14)),bind(X_12,$fot(multiply(multiply(X_0,X_14),inverse(multiply(X_0,Y)))))]]) ).
cnf(refute_0_44,plain,
multiply(X_14,inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,Y))))) = Y,
inference(subst,[],[refute_0_4:[bind(X_1,$fot(X_14))]]) ).
cnf(refute_0_45,plain,
( multiply(X_14,inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,Y))))) != Y
| multiply(multiply(X_14,inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,Y))))),inverse(X_14)) != inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,Y))))
| multiply(Y,inverse(X_14)) = inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_14,inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,Y))))),inverse(X_14)),inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,Y))))) ),[0,0],$fot(Y)]]) ).
cnf(refute_0_46,plain,
( multiply(multiply(X_14,inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,Y))))),inverse(X_14)) != inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,Y))))
| multiply(Y,inverse(X_14)) = inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,Y)))) ),
inference(resolve,[$cnf( $equal(multiply(X_14,inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,Y))))),Y) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
multiply(Y,inverse(X_14)) = inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,Y)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_14,inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,Y))))),inverse(X_14)),inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,Y))))) )],[refute_0_43,refute_0_46]) ).
cnf(refute_0_48,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_49,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_50,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
( multiply(Y,inverse(X_14)) != inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,Y))))
| inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,Y)))) = multiply(Y,inverse(X_14)) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(multiply(Y,inverse(X_14)))),bind(Y0,$fot(inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,Y))))))]]) ).
cnf(refute_0_52,plain,
inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,Y)))) = multiply(Y,inverse(X_14)),
inference(resolve,[$cnf( $equal(multiply(Y,inverse(X_14)),inverse(multiply(multiply(X_0,X_14),inverse(multiply(X_0,Y))))) )],[refute_0_47,refute_0_51]) ).
cnf(refute_0_53,plain,
inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3)))) = multiply(X_3,inverse(X_0)),
inference(subst,[],[refute_0_52:[bind(Y,$fot(X_3)),bind(X_0,$fot(X_4)),bind(X_14,$fot(X_0))]]) ).
cnf(refute_0_54,plain,
( inverse(multiply(X_0,inverse(X_3))) != inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))
| inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3)))) != multiply(X_3,inverse(X_0))
| inverse(multiply(X_0,inverse(X_3))) = multiply(X_3,inverse(X_0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(inverse(multiply(X_0,inverse(X_3))),multiply(X_3,inverse(X_0))) ),[0],$fot(inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3)))))]]) ).
cnf(refute_0_55,plain,
( inverse(multiply(X_0,inverse(X_3))) != inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))
| inverse(multiply(X_0,inverse(X_3))) = multiply(X_3,inverse(X_0)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3)))),multiply(X_3,inverse(X_0))) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
( multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(X_3)))) != inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))
| inverse(multiply(X_0,inverse(X_3))) = multiply(X_3,inverse(X_0)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_0,inverse(X_3))),inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))) )],[refute_0_42,refute_0_55]) ).
cnf(refute_0_57,plain,
inverse(multiply(X_0,inverse(X_3))) = multiply(X_3,inverse(X_0)),
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(multiply(multiply(X_0,X_1),inverse(X_3)))),inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))) )],[refute_0_39,refute_0_56]) ).
cnf(refute_0_58,plain,
inverse(multiply(X_0,inverse(multiply(X_0,Y)))) = multiply(multiply(X_0,Y),inverse(X_0)),
inference(subst,[],[refute_0_57:[bind(X_3,$fot(multiply(X_0,Y)))]]) ).
cnf(refute_0_59,plain,
( inverse(multiply(X_0,inverse(multiply(X_0,Y)))) != Y
| inverse(multiply(X_0,inverse(multiply(X_0,Y)))) != multiply(multiply(X_0,Y),inverse(X_0))
| multiply(multiply(X_0,Y),inverse(X_0)) = Y ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_0,inverse(multiply(X_0,Y)))),Y) ),[0],$fot(multiply(multiply(X_0,Y),inverse(X_0)))]]) ).
cnf(refute_0_60,plain,
( inverse(multiply(X_0,inverse(multiply(X_0,Y)))) != Y
| multiply(multiply(X_0,Y),inverse(X_0)) = Y ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_0,inverse(multiply(X_0,Y)))),multiply(multiply(X_0,Y),inverse(X_0))) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
multiply(multiply(X_0,Y),inverse(X_0)) = Y,
inference(resolve,[$cnf( $equal(inverse(multiply(X_0,inverse(multiply(X_0,Y)))),Y) )],[refute_0_34,refute_0_60]) ).
cnf(refute_0_62,plain,
multiply(multiply(multiply(inverse(X_37),X_37),Y),inverse(multiply(inverse(X_37),X_37))) = Y,
inference(subst,[],[refute_0_61:[bind(X_0,$fot(multiply(inverse(X_37),X_37)))]]) ).
cnf(refute_0_63,plain,
multiply(multiply(multiply(X,Y),inverse(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))))),inverse(multiply(X,inverse(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))))))) = Y,
inference(subst,[],[single_axiom:[bind(Z,$fot(inverse(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))))))]]) ).
cnf(refute_0_64,plain,
multiply(multiply(X,Y),inverse(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))))) = X_3,
inference(subst,[],[refute_0_4:[bind(Y,$fot(X_3)),bind(X_0,$fot(X_4)),bind(X_1,$fot(multiply(X,Y)))]]) ).
cnf(refute_0_65,plain,
( multiply(multiply(X,Y),inverse(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))))) != X_3
| multiply(multiply(multiply(X,Y),inverse(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))))),inverse(multiply(X,inverse(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))))))) != Y
| multiply(X_3,inverse(multiply(X,inverse(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))))))) = Y ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X,Y),inverse(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))))),inverse(multiply(X,inverse(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))))))),Y) ),[0,0],$fot(X_3)]]) ).
cnf(refute_0_66,plain,
( multiply(multiply(multiply(X,Y),inverse(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))))),inverse(multiply(X,inverse(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))))))) != Y
| multiply(X_3,inverse(multiply(X,inverse(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))))))) = Y ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),inverse(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))))),X_3) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
multiply(X_3,inverse(multiply(X,inverse(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))))))) = Y,
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X,Y),inverse(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))))),inverse(multiply(X,inverse(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))))))),Y) )],[refute_0_63,refute_0_66]) ).
cnf(refute_0_68,plain,
inverse(multiply(X,inverse(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3)))))) = multiply(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))),inverse(X)),
inference(subst,[],[refute_0_57:[bind(X_0,$fot(X)),bind(X_3,$fot(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3)))))]]) ).
cnf(refute_0_69,plain,
multiply(X_3,inverse(multiply(X,inverse(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))))))) = multiply(X_3,inverse(multiply(X,inverse(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))))))),
introduced(tautology,[refl,[$fot(multiply(X_3,inverse(multiply(X,inverse(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))))))))]]) ).
cnf(refute_0_70,plain,
( multiply(X_3,inverse(multiply(X,inverse(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))))))) != multiply(X_3,inverse(multiply(X,inverse(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3)))))))
| inverse(multiply(X,inverse(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3)))))) != multiply(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))),inverse(X))
| multiply(X_3,inverse(multiply(X,inverse(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))))))) = multiply(X_3,multiply(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))),inverse(X))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_3,inverse(multiply(X,inverse(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))))))),multiply(X_3,inverse(multiply(X,inverse(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3)))))))) ),[1,1],$fot(multiply(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))),inverse(X)))]]) ).
cnf(refute_0_71,plain,
( inverse(multiply(X,inverse(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3)))))) != multiply(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))),inverse(X))
| multiply(X_3,inverse(multiply(X,inverse(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))))))) = multiply(X_3,multiply(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))),inverse(X))) ),
inference(resolve,[$cnf( $equal(multiply(X_3,inverse(multiply(X,inverse(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))))))),multiply(X_3,inverse(multiply(X,inverse(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3)))))))) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
multiply(X_3,inverse(multiply(X,inverse(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))))))) = multiply(X_3,multiply(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))),inverse(X))),
inference(resolve,[$cnf( $equal(inverse(multiply(X,inverse(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3)))))),multiply(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))),inverse(X))) )],[refute_0_68,refute_0_71]) ).
cnf(refute_0_73,plain,
( multiply(X_3,inverse(multiply(X,inverse(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))))))) != Y
| multiply(X_3,inverse(multiply(X,inverse(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))))))) != multiply(X_3,multiply(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))),inverse(X)))
| multiply(X_3,multiply(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))),inverse(X))) = Y ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_3,inverse(multiply(X,inverse(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))))))),Y) ),[0],$fot(multiply(X_3,multiply(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))),inverse(X))))]]) ).
cnf(refute_0_74,plain,
( multiply(X_3,inverse(multiply(X,inverse(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))))))) != Y
| multiply(X_3,multiply(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))),inverse(X))) = Y ),
inference(resolve,[$cnf( $equal(multiply(X_3,inverse(multiply(X,inverse(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))))))),multiply(X_3,multiply(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))),inverse(X)))) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
multiply(X_3,multiply(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))),inverse(X))) = Y,
inference(resolve,[$cnf( $equal(multiply(X_3,inverse(multiply(X,inverse(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))))))),Y) )],[refute_0_67,refute_0_74]) ).
cnf(refute_0_76,plain,
multiply(multiply(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,Y))))),inverse(multiply(X_11,X_13))),inverse(X_12)) = inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,Y)))),
inference(subst,[],[refute_0_14:[bind(Y,$fot(inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,Y)))))),bind(X_0,$fot(X_11)),bind(X_1,$fot(X_12)),bind(X_2,$fot(X_13))]]) ).
cnf(refute_0_77,plain,
multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,Y))))) = Y,
inference(subst,[],[refute_0_4:[bind(X_1,$fot(multiply(multiply(X_11,X_12),X_13)))]]) ).
cnf(refute_0_78,plain,
( multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,Y))))) != Y
| multiply(multiply(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,Y))))),inverse(multiply(X_11,X_13))),inverse(X_12)) != inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,Y))))
| multiply(multiply(Y,inverse(multiply(X_11,X_13))),inverse(X_12)) = inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,Y))))),inverse(multiply(X_11,X_13))),inverse(X_12)),inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,Y))))) ),[0,0,0],$fot(Y)]]) ).
cnf(refute_0_79,plain,
( multiply(multiply(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,Y))))),inverse(multiply(X_11,X_13))),inverse(X_12)) != inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,Y))))
| multiply(multiply(Y,inverse(multiply(X_11,X_13))),inverse(X_12)) = inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,Y)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,Y))))),Y) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
multiply(multiply(Y,inverse(multiply(X_11,X_13))),inverse(X_12)) = inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,Y)))),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(X_11,X_12),X_13),inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,Y))))),inverse(multiply(X_11,X_13))),inverse(X_12)),inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,Y))))) )],[refute_0_76,refute_0_79]) ).
cnf(refute_0_81,plain,
inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,Y)))) = multiply(Y,inverse(multiply(multiply(X_11,X_12),X_13))),
inference(subst,[],[refute_0_52:[bind(X_14,$fot(multiply(multiply(X_11,X_12),X_13)))]]) ).
cnf(refute_0_82,plain,
( multiply(multiply(Y,inverse(multiply(X_11,X_13))),inverse(X_12)) != inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,Y))))
| inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,Y)))) != multiply(Y,inverse(multiply(multiply(X_11,X_12),X_13)))
| multiply(multiply(Y,inverse(multiply(X_11,X_13))),inverse(X_12)) = multiply(Y,inverse(multiply(multiply(X_11,X_12),X_13))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(Y,inverse(multiply(X_11,X_13))),inverse(X_12)),multiply(Y,inverse(multiply(multiply(X_11,X_12),X_13)))) ),[0],$fot(inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,Y)))))]]) ).
cnf(refute_0_83,plain,
( multiply(multiply(Y,inverse(multiply(X_11,X_13))),inverse(X_12)) != inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,Y))))
| multiply(multiply(Y,inverse(multiply(X_11,X_13))),inverse(X_12)) = multiply(Y,inverse(multiply(multiply(X_11,X_12),X_13))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,Y)))),multiply(Y,inverse(multiply(multiply(X_11,X_12),X_13)))) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
multiply(multiply(Y,inverse(multiply(X_11,X_13))),inverse(X_12)) = multiply(Y,inverse(multiply(multiply(X_11,X_12),X_13))),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,inverse(multiply(X_11,X_13))),inverse(X_12)),inverse(multiply(multiply(X_0,multiply(multiply(X_11,X_12),X_13)),inverse(multiply(X_0,Y))))) )],[refute_0_80,refute_0_83]) ).
cnf(refute_0_85,plain,
multiply(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))),inverse(X)) = multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(multiply(X_4,X),X_3))),
inference(subst,[],[refute_0_84:[bind(Y,$fot(multiply(X_4,multiply(X,Y)))),bind(X_11,$fot(X_4)),bind(X_12,$fot(X)),bind(X_13,$fot(X_3))]]) ).
cnf(refute_0_86,plain,
multiply(X_3,multiply(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))),inverse(X))) = multiply(X_3,multiply(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))),inverse(X))),
introduced(tautology,[refl,[$fot(multiply(X_3,multiply(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))),inverse(X))))]]) ).
cnf(refute_0_87,plain,
( multiply(X_3,multiply(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))),inverse(X))) != multiply(X_3,multiply(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))),inverse(X)))
| multiply(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))),inverse(X)) != multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(multiply(X_4,X),X_3)))
| multiply(X_3,multiply(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))),inverse(X))) = multiply(X_3,multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(multiply(X_4,X),X_3)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_3,multiply(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))),inverse(X))),multiply(X_3,multiply(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))),inverse(X)))) ),[1,1],$fot(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(multiply(X_4,X),X_3))))]]) ).
cnf(refute_0_88,plain,
( multiply(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))),inverse(X)) != multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(multiply(X_4,X),X_3)))
| multiply(X_3,multiply(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))),inverse(X))) = multiply(X_3,multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(multiply(X_4,X),X_3)))) ),
inference(resolve,[$cnf( $equal(multiply(X_3,multiply(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))),inverse(X))),multiply(X_3,multiply(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))),inverse(X)))) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
multiply(X_3,multiply(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))),inverse(X))) = multiply(X_3,multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(multiply(X_4,X),X_3)))),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))),inverse(X)),multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(multiply(X_4,X),X_3)))) )],[refute_0_85,refute_0_88]) ).
cnf(refute_0_90,plain,
( multiply(X_3,multiply(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))),inverse(X))) != Y
| multiply(X_3,multiply(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))),inverse(X))) != multiply(X_3,multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(multiply(X_4,X),X_3))))
| multiply(X_3,multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(multiply(X_4,X),X_3)))) = Y ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_3,multiply(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))),inverse(X))),Y) ),[0],$fot(multiply(X_3,multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(multiply(X_4,X),X_3)))))]]) ).
cnf(refute_0_91,plain,
( multiply(X_3,multiply(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))),inverse(X))) != Y
| multiply(X_3,multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(multiply(X_4,X),X_3)))) = Y ),
inference(resolve,[$cnf( $equal(multiply(X_3,multiply(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))),inverse(X))),multiply(X_3,multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(multiply(X_4,X),X_3))))) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
multiply(X_3,multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(multiply(X_4,X),X_3)))) = Y,
inference(resolve,[$cnf( $equal(multiply(X_3,multiply(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(X_4,X_3))),inverse(X))),Y) )],[refute_0_75,refute_0_91]) ).
cnf(refute_0_93,plain,
multiply(multiply(X_8,X_6),inverse(multiply(multiply(multiply(X_7,X_8),inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y))))),X_6))) = inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y)))))),
inference(subst,[],[refute_0_9:[bind(Z,$fot(X_6)),bind(X_0,$fot(X_7)),bind(X_1,$fot(X_8)),bind(X_2,$fot(inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y))))))]]) ).
cnf(refute_0_94,plain,
multiply(multiply(X_7,X_8),inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y))))) = Y,
inference(subst,[],[refute_0_4:[bind(X_1,$fot(multiply(X_7,X_8)))]]) ).
cnf(refute_0_95,plain,
( multiply(multiply(X_7,X_8),inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y))))) != Y
| multiply(multiply(X_8,X_6),inverse(multiply(multiply(multiply(X_7,X_8),inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y))))),X_6))) != inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y))))))
| multiply(multiply(X_8,X_6),inverse(multiply(Y,X_6))) = inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_8,X_6),inverse(multiply(multiply(multiply(X_7,X_8),inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y))))),X_6))),inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y))))))) ),[0,1,0,0],$fot(Y)]]) ).
cnf(refute_0_96,plain,
( multiply(multiply(X_8,X_6),inverse(multiply(multiply(multiply(X_7,X_8),inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y))))),X_6))) != inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y))))))
| multiply(multiply(X_8,X_6),inverse(multiply(Y,X_6))) = inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y)))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_7,X_8),inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y))))),Y) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
multiply(multiply(X_8,X_6),inverse(multiply(Y,X_6))) = inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y)))))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_8,X_6),inverse(multiply(multiply(multiply(X_7,X_8),inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y))))),X_6))),inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y))))))) )],[refute_0_93,refute_0_96]) ).
cnf(refute_0_98,plain,
multiply(multiply(multiply(X,inverse(multiply(multiply(X_4,X),inverse(multiply(X_4,X_3))))),Z),inverse(multiply(X,Z))) = inverse(multiply(multiply(X_4,X),inverse(multiply(X_4,X_3)))),
inference(subst,[],[single_axiom:[bind(Y,$fot(inverse(multiply(multiply(X_4,X),inverse(multiply(X_4,X_3))))))]]) ).
cnf(refute_0_99,plain,
multiply(X,inverse(multiply(multiply(X_4,X),inverse(multiply(X_4,X_3))))) = X_3,
inference(subst,[],[refute_0_4:[bind(Y,$fot(X_3)),bind(X_0,$fot(X_4)),bind(X_1,$fot(X))]]) ).
cnf(refute_0_100,plain,
( multiply(X,inverse(multiply(multiply(X_4,X),inverse(multiply(X_4,X_3))))) != X_3
| multiply(multiply(multiply(X,inverse(multiply(multiply(X_4,X),inverse(multiply(X_4,X_3))))),Z),inverse(multiply(X,Z))) != inverse(multiply(multiply(X_4,X),inverse(multiply(X_4,X_3))))
| multiply(multiply(X_3,Z),inverse(multiply(X,Z))) = inverse(multiply(multiply(X_4,X),inverse(multiply(X_4,X_3)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X,inverse(multiply(multiply(X_4,X),inverse(multiply(X_4,X_3))))),Z),inverse(multiply(X,Z))),inverse(multiply(multiply(X_4,X),inverse(multiply(X_4,X_3))))) ),[0,0,0],$fot(X_3)]]) ).
cnf(refute_0_101,plain,
( multiply(multiply(multiply(X,inverse(multiply(multiply(X_4,X),inverse(multiply(X_4,X_3))))),Z),inverse(multiply(X,Z))) != inverse(multiply(multiply(X_4,X),inverse(multiply(X_4,X_3))))
| multiply(multiply(X_3,Z),inverse(multiply(X,Z))) = inverse(multiply(multiply(X_4,X),inverse(multiply(X_4,X_3)))) ),
inference(resolve,[$cnf( $equal(multiply(X,inverse(multiply(multiply(X_4,X),inverse(multiply(X_4,X_3))))),X_3) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
multiply(multiply(X_3,Z),inverse(multiply(X,Z))) = inverse(multiply(multiply(X_4,X),inverse(multiply(X_4,X_3)))),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X,inverse(multiply(multiply(X_4,X),inverse(multiply(X_4,X_3))))),Z),inverse(multiply(X,Z))),inverse(multiply(multiply(X_4,X),inverse(multiply(X_4,X_3))))) )],[refute_0_98,refute_0_101]) ).
cnf(refute_0_103,plain,
inverse(multiply(multiply(X_4,X),inverse(multiply(X_4,X_3)))) = multiply(X_3,inverse(X)),
inference(subst,[],[refute_0_52:[bind(Y,$fot(X_3)),bind(X_0,$fot(X_4)),bind(X_14,$fot(X))]]) ).
cnf(refute_0_104,plain,
( multiply(multiply(X_3,Z),inverse(multiply(X,Z))) != inverse(multiply(multiply(X_4,X),inverse(multiply(X_4,X_3))))
| inverse(multiply(multiply(X_4,X),inverse(multiply(X_4,X_3)))) != multiply(X_3,inverse(X))
| multiply(multiply(X_3,Z),inverse(multiply(X,Z))) = multiply(X_3,inverse(X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_3,Z),inverse(multiply(X,Z))),multiply(X_3,inverse(X))) ),[0],$fot(inverse(multiply(multiply(X_4,X),inverse(multiply(X_4,X_3)))))]]) ).
cnf(refute_0_105,plain,
( multiply(multiply(X_3,Z),inverse(multiply(X,Z))) != inverse(multiply(multiply(X_4,X),inverse(multiply(X_4,X_3))))
| multiply(multiply(X_3,Z),inverse(multiply(X,Z))) = multiply(X_3,inverse(X)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_4,X),inverse(multiply(X_4,X_3)))),multiply(X_3,inverse(X))) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
multiply(multiply(X_3,Z),inverse(multiply(X,Z))) = multiply(X_3,inverse(X)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_3,Z),inverse(multiply(X,Z))),inverse(multiply(multiply(X_4,X),inverse(multiply(X_4,X_3))))) )],[refute_0_102,refute_0_105]) ).
cnf(refute_0_107,plain,
multiply(multiply(X_8,X_6),inverse(multiply(Y,X_6))) = multiply(X_8,inverse(Y)),
inference(subst,[],[refute_0_106:[bind(X,$fot(Y)),bind(Z,$fot(X_6)),bind(X_3,$fot(X_8))]]) ).
cnf(refute_0_108,plain,
( multiply(multiply(X_8,X_6),inverse(multiply(Y,X_6))) != multiply(X_8,inverse(Y))
| multiply(multiply(X_8,X_6),inverse(multiply(Y,X_6))) != inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y))))))
| multiply(X_8,inverse(Y)) = inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_8,X_6),inverse(multiply(Y,X_6))),inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y))))))) ),[0],$fot(multiply(X_8,inverse(Y)))]]) ).
cnf(refute_0_109,plain,
( multiply(multiply(X_8,X_6),inverse(multiply(Y,X_6))) != inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y))))))
| multiply(X_8,inverse(Y)) = inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y)))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_8,X_6),inverse(multiply(Y,X_6))),multiply(X_8,inverse(Y))) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
multiply(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y))),inverse(X_7)) = multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(multiply(X_0,X_7),Y))),
inference(subst,[],[refute_0_84:[bind(Y,$fot(multiply(X_0,multiply(X_7,X_8)))),bind(X_11,$fot(X_0)),bind(X_12,$fot(X_7)),bind(X_13,$fot(Y))]]) ).
cnf(refute_0_111,plain,
inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y)))))) = multiply(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y))),inverse(X_7)),
inference(subst,[],[refute_0_57:[bind(X_0,$fot(X_7)),bind(X_3,$fot(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y)))))]]) ).
cnf(refute_0_112,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_113,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_50,refute_0_112]) ).
cnf(refute_0_114,plain,
( multiply(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y))),inverse(X_7)) != multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(multiply(X_0,X_7),Y)))
| inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y)))))) != multiply(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y))),inverse(X_7))
| inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y)))))) = multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(multiply(X_0,X_7),Y))) ),
inference(subst,[],[refute_0_113:[bind(X0,$fot(inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y)))))))),bind(Y0,$fot(multiply(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y))),inverse(X_7)))),bind(Z0,$fot(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(multiply(X_0,X_7),Y)))))]]) ).
cnf(refute_0_115,plain,
( multiply(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y))),inverse(X_7)) != multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(multiply(X_0,X_7),Y)))
| inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y)))))) = multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(multiply(X_0,X_7),Y))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y)))))),multiply(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y))),inverse(X_7))) )],[refute_0_111,refute_0_114]) ).
cnf(refute_0_116,plain,
inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y)))))) = multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(multiply(X_0,X_7),Y))),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y))),inverse(X_7)),multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(multiply(X_0,X_7),Y)))) )],[refute_0_110,refute_0_115]) ).
cnf(refute_0_117,plain,
( multiply(X_8,inverse(Y)) != inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y))))))
| inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y)))))) != multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(multiply(X_0,X_7),Y)))
| multiply(X_8,inverse(Y)) = multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(multiply(X_0,X_7),Y))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_8,inverse(Y)),multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(multiply(X_0,X_7),Y)))) ),[0],$fot(inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y)))))))]]) ).
cnf(refute_0_118,plain,
( multiply(X_8,inverse(Y)) != inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y))))))
| multiply(X_8,inverse(Y)) = multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(multiply(X_0,X_7),Y))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y)))))),multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(multiply(X_0,X_7),Y)))) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
( multiply(multiply(X_8,X_6),inverse(multiply(Y,X_6))) != inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y))))))
| multiply(X_8,inverse(Y)) = multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(multiply(X_0,X_7),Y))) ),
inference(resolve,[$cnf( $equal(multiply(X_8,inverse(Y)),inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y))))))) )],[refute_0_109,refute_0_118]) ).
cnf(refute_0_120,plain,
multiply(X_8,inverse(Y)) = multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(multiply(X_0,X_7),Y))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_8,X_6),inverse(multiply(Y,X_6))),inverse(multiply(X_7,inverse(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(X_0,Y))))))) )],[refute_0_97,refute_0_119]) ).
cnf(refute_0_121,plain,
( multiply(X_8,inverse(Y)) != multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(multiply(X_0,X_7),Y)))
| multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(multiply(X_0,X_7),Y))) = multiply(X_8,inverse(Y)) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(multiply(X_8,inverse(Y)))),bind(Y0,$fot(multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(multiply(X_0,X_7),Y)))))]]) ).
cnf(refute_0_122,plain,
multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(multiply(X_0,X_7),Y))) = multiply(X_8,inverse(Y)),
inference(resolve,[$cnf( $equal(multiply(X_8,inverse(Y)),multiply(multiply(X_0,multiply(X_7,X_8)),inverse(multiply(multiply(X_0,X_7),Y)))) )],[refute_0_120,refute_0_121]) ).
cnf(refute_0_123,plain,
multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(multiply(X_4,X),X_3))) = multiply(Y,inverse(X_3)),
inference(subst,[],[refute_0_122:[bind(Y,$fot(X_3)),bind(X_0,$fot(X_4)),bind(X_7,$fot(X)),bind(X_8,$fot(Y))]]) ).
cnf(refute_0_124,plain,
multiply(X_3,multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(multiply(X_4,X),X_3)))) = multiply(X_3,multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(multiply(X_4,X),X_3)))),
introduced(tautology,[refl,[$fot(multiply(X_3,multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(multiply(X_4,X),X_3)))))]]) ).
cnf(refute_0_125,plain,
( multiply(X_3,multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(multiply(X_4,X),X_3)))) != multiply(X_3,multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(multiply(X_4,X),X_3))))
| multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(multiply(X_4,X),X_3))) != multiply(Y,inverse(X_3))
| multiply(X_3,multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(multiply(X_4,X),X_3)))) = multiply(X_3,multiply(Y,inverse(X_3))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_3,multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(multiply(X_4,X),X_3)))),multiply(X_3,multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(multiply(X_4,X),X_3))))) ),[1,1],$fot(multiply(Y,inverse(X_3)))]]) ).
cnf(refute_0_126,plain,
( multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(multiply(X_4,X),X_3))) != multiply(Y,inverse(X_3))
| multiply(X_3,multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(multiply(X_4,X),X_3)))) = multiply(X_3,multiply(Y,inverse(X_3))) ),
inference(resolve,[$cnf( $equal(multiply(X_3,multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(multiply(X_4,X),X_3)))),multiply(X_3,multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(multiply(X_4,X),X_3))))) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
multiply(X_3,multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(multiply(X_4,X),X_3)))) = multiply(X_3,multiply(Y,inverse(X_3))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(multiply(X_4,X),X_3))),multiply(Y,inverse(X_3))) )],[refute_0_123,refute_0_126]) ).
cnf(refute_0_128,plain,
( multiply(X_3,multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(multiply(X_4,X),X_3)))) != Y
| multiply(X_3,multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(multiply(X_4,X),X_3)))) != multiply(X_3,multiply(Y,inverse(X_3)))
| multiply(X_3,multiply(Y,inverse(X_3))) = Y ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_3,multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(multiply(X_4,X),X_3)))),Y) ),[0],$fot(multiply(X_3,multiply(Y,inverse(X_3))))]]) ).
cnf(refute_0_129,plain,
( multiply(X_3,multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(multiply(X_4,X),X_3)))) != Y
| multiply(X_3,multiply(Y,inverse(X_3))) = Y ),
inference(resolve,[$cnf( $equal(multiply(X_3,multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(multiply(X_4,X),X_3)))),multiply(X_3,multiply(Y,inverse(X_3)))) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
multiply(X_3,multiply(Y,inverse(X_3))) = Y,
inference(resolve,[$cnf( $equal(multiply(X_3,multiply(multiply(X_4,multiply(X,Y)),inverse(multiply(multiply(X_4,X),X_3)))),Y) )],[refute_0_92,refute_0_129]) ).
cnf(refute_0_131,plain,
multiply(X_3,multiply(multiply(X_27,multiply(X_26,inverse(X_26))),inverse(X_3))) = multiply(X_27,multiply(X_26,inverse(X_26))),
inference(subst,[],[refute_0_130:[bind(Y,$fot(multiply(X_27,multiply(X_26,inverse(X_26)))))]]) ).
cnf(refute_0_132,plain,
multiply(multiply(X_15,multiply(X,inverse(X))),multiply(X_20,inverse(multiply(X_15,multiply(X,inverse(X)))))) = X_20,
inference(subst,[],[refute_0_130:[bind(Y,$fot(X_20)),bind(X_3,$fot(multiply(X_15,multiply(X,inverse(X)))))]]) ).
cnf(refute_0_133,plain,
multiply(multiply(multiply(X,inverse(X_15)),inverse(X)),inverse(multiply(X,inverse(X)))) = inverse(X_15),
inference(subst,[],[single_axiom:[bind(Y,$fot(inverse(X_15))),bind(Z,$fot(inverse(X)))]]) ).
cnf(refute_0_134,plain,
multiply(multiply(X,inverse(X_15)),inverse(X)) = inverse(X_15),
inference(subst,[],[refute_0_26:[bind(X_1,$fot(X)),bind(X_12,$fot(X_15))]]) ).
cnf(refute_0_135,plain,
( multiply(multiply(X,inverse(X_15)),inverse(X)) != inverse(X_15)
| multiply(multiply(multiply(X,inverse(X_15)),inverse(X)),inverse(multiply(X,inverse(X)))) != inverse(X_15)
| multiply(inverse(X_15),inverse(multiply(X,inverse(X)))) = inverse(X_15) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X,inverse(X_15)),inverse(X)),inverse(multiply(X,inverse(X)))),inverse(X_15)) ),[0,0],$fot(inverse(X_15))]]) ).
cnf(refute_0_136,plain,
( multiply(multiply(multiply(X,inverse(X_15)),inverse(X)),inverse(multiply(X,inverse(X)))) != inverse(X_15)
| multiply(inverse(X_15),inverse(multiply(X,inverse(X)))) = inverse(X_15) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,inverse(X_15)),inverse(X)),inverse(X_15)) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
multiply(inverse(X_15),inverse(multiply(X,inverse(X)))) = inverse(X_15),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X,inverse(X_15)),inverse(X)),inverse(multiply(X,inverse(X)))),inverse(X_15)) )],[refute_0_133,refute_0_136]) ).
cnf(refute_0_138,plain,
multiply(multiply(multiply(multiply(multiply(X_0,X_1),inverse(X_15)),inverse(multiply(X_0,X_1))),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)) = inverse(multiply(X_0,X_1)),
inference(subst,[],[refute_0_14:[bind(Y,$fot(inverse(multiply(X_0,X_1)))),bind(X_2,$fot(inverse(X_15)))]]) ).
cnf(refute_0_139,plain,
multiply(multiply(multiply(X_0,X_1),inverse(X_15)),inverse(multiply(X_0,X_1))) = inverse(X_15),
inference(subst,[],[refute_0_26:[bind(X_1,$fot(multiply(X_0,X_1))),bind(X_12,$fot(X_15))]]) ).
cnf(refute_0_140,plain,
( multiply(multiply(multiply(X_0,X_1),inverse(X_15)),inverse(multiply(X_0,X_1))) != inverse(X_15)
| multiply(multiply(multiply(multiply(multiply(X_0,X_1),inverse(X_15)),inverse(multiply(X_0,X_1))),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)) != inverse(multiply(X_0,X_1))
| multiply(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)) = inverse(multiply(X_0,X_1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(X_0,X_1),inverse(X_15)),inverse(multiply(X_0,X_1))),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)),inverse(multiply(X_0,X_1))) ),[0,0,0],$fot(inverse(X_15))]]) ).
cnf(refute_0_141,plain,
( multiply(multiply(multiply(multiply(multiply(X_0,X_1),inverse(X_15)),inverse(multiply(X_0,X_1))),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)) != inverse(multiply(X_0,X_1))
| multiply(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)) = inverse(multiply(X_0,X_1)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_0,X_1),inverse(X_15)),inverse(multiply(X_0,X_1))),inverse(X_15)) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
multiply(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)) = inverse(multiply(X_0,X_1)),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(multiply(X_0,X_1),inverse(X_15)),inverse(multiply(X_0,X_1))),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)),inverse(multiply(X_0,X_1))) )],[refute_0_138,refute_0_141]) ).
cnf(refute_0_143,plain,
multiply(multiply(multiply(X_12,inverse(X_15)),inverse(X_12)),inverse(multiply(X_12,inverse(X_15)))) = inverse(X_12),
inference(subst,[],[refute_0_26:[bind(X_1,$fot(multiply(X_12,inverse(X_15))))]]) ).
cnf(refute_0_144,plain,
multiply(multiply(X_12,inverse(X_15)),inverse(X_12)) = inverse(X_15),
inference(subst,[],[refute_0_26:[bind(X_1,$fot(X_12)),bind(X_12,$fot(X_15))]]) ).
cnf(refute_0_145,plain,
( multiply(multiply(X_12,inverse(X_15)),inverse(X_12)) != inverse(X_15)
| multiply(multiply(multiply(X_12,inverse(X_15)),inverse(X_12)),inverse(multiply(X_12,inverse(X_15)))) != inverse(X_12)
| multiply(inverse(X_15),inverse(multiply(X_12,inverse(X_15)))) = inverse(X_12) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_12,inverse(X_15)),inverse(X_12)),inverse(multiply(X_12,inverse(X_15)))),inverse(X_12)) ),[0,0],$fot(inverse(X_15))]]) ).
cnf(refute_0_146,plain,
( multiply(multiply(multiply(X_12,inverse(X_15)),inverse(X_12)),inverse(multiply(X_12,inverse(X_15)))) != inverse(X_12)
| multiply(inverse(X_15),inverse(multiply(X_12,inverse(X_15)))) = inverse(X_12) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_12,inverse(X_15)),inverse(X_12)),inverse(X_15)) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
multiply(inverse(X_15),inverse(multiply(X_12,inverse(X_15)))) = inverse(X_12),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_12,inverse(X_15)),inverse(X_12)),inverse(multiply(X_12,inverse(X_15)))),inverse(X_12)) )],[refute_0_143,refute_0_146]) ).
cnf(refute_0_148,plain,
multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))) = inverse(X_0),
inference(subst,[],[refute_0_147:[bind(X_12,$fot(X_0))]]) ).
cnf(refute_0_149,plain,
multiply(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)) = multiply(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)))]]) ).
cnf(refute_0_150,plain,
( multiply(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)) != multiply(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1))
| multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))) != inverse(X_0)
| multiply(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)) = multiply(inverse(X_0),inverse(X_1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)),multiply(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1))) ),[1,0],$fot(inverse(X_0))]]) ).
cnf(refute_0_151,plain,
( multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))) != inverse(X_0)
| multiply(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)) = multiply(inverse(X_0),inverse(X_1)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)),multiply(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1))) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
multiply(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)) = multiply(inverse(X_0),inverse(X_1)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_0)) )],[refute_0_148,refute_0_151]) ).
cnf(refute_0_153,plain,
( multiply(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)) != multiply(inverse(X_0),inverse(X_1))
| multiply(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)) != inverse(multiply(X_0,X_1))
| multiply(inverse(X_0),inverse(X_1)) = inverse(multiply(X_0,X_1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)),inverse(multiply(X_0,X_1))) ),[0],$fot(multiply(inverse(X_0),inverse(X_1)))]]) ).
cnf(refute_0_154,plain,
( multiply(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)) != inverse(multiply(X_0,X_1))
| multiply(inverse(X_0),inverse(X_1)) = inverse(multiply(X_0,X_1)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)),multiply(inverse(X_0),inverse(X_1))) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
multiply(inverse(X_0),inverse(X_1)) = inverse(multiply(X_0,X_1)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_15),inverse(multiply(X_0,inverse(X_15)))),inverse(X_1)),inverse(multiply(X_0,X_1))) )],[refute_0_142,refute_0_154]) ).
cnf(refute_0_156,plain,
multiply(inverse(X_15),inverse(multiply(X,inverse(X)))) = inverse(multiply(X_15,multiply(X,inverse(X)))),
inference(subst,[],[refute_0_155:[bind(X_0,$fot(X_15)),bind(X_1,$fot(multiply(X,inverse(X))))]]) ).
cnf(refute_0_157,plain,
( multiply(inverse(X_15),inverse(multiply(X,inverse(X)))) != inverse(X_15)
| multiply(inverse(X_15),inverse(multiply(X,inverse(X)))) != inverse(multiply(X_15,multiply(X,inverse(X))))
| inverse(multiply(X_15,multiply(X,inverse(X)))) = inverse(X_15) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_15),inverse(multiply(X,inverse(X)))),inverse(X_15)) ),[0],$fot(inverse(multiply(X_15,multiply(X,inverse(X)))))]]) ).
cnf(refute_0_158,plain,
( multiply(inverse(X_15),inverse(multiply(X,inverse(X)))) != inverse(X_15)
| inverse(multiply(X_15,multiply(X,inverse(X)))) = inverse(X_15) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_15),inverse(multiply(X,inverse(X)))),inverse(multiply(X_15,multiply(X,inverse(X))))) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
inverse(multiply(X_15,multiply(X,inverse(X)))) = inverse(X_15),
inference(resolve,[$cnf( $equal(multiply(inverse(X_15),inverse(multiply(X,inverse(X)))),inverse(X_15)) )],[refute_0_137,refute_0_158]) ).
cnf(refute_0_160,plain,
( multiply(multiply(X_15,multiply(X,inverse(X))),multiply(X_20,inverse(multiply(X_15,multiply(X,inverse(X)))))) != X_20
| inverse(multiply(X_15,multiply(X,inverse(X)))) != inverse(X_15)
| multiply(multiply(X_15,multiply(X,inverse(X))),multiply(X_20,inverse(X_15))) = X_20 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_15,multiply(X,inverse(X))),multiply(X_20,inverse(multiply(X_15,multiply(X,inverse(X)))))),X_20) ),[0,1,1],$fot(inverse(X_15))]]) ).
cnf(refute_0_161,plain,
( multiply(multiply(X_15,multiply(X,inverse(X))),multiply(X_20,inverse(multiply(X_15,multiply(X,inverse(X)))))) != X_20
| multiply(multiply(X_15,multiply(X,inverse(X))),multiply(X_20,inverse(X_15))) = X_20 ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_15,multiply(X,inverse(X)))),inverse(X_15)) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
multiply(multiply(X_15,multiply(X,inverse(X))),multiply(X_20,inverse(X_15))) = X_20,
inference(resolve,[$cnf( $equal(multiply(multiply(X_15,multiply(X,inverse(X))),multiply(X_20,inverse(multiply(X_15,multiply(X,inverse(X)))))),X_20) )],[refute_0_132,refute_0_161]) ).
cnf(refute_0_163,plain,
multiply(multiply(X_23,multiply(X_22,inverse(X_22))),multiply(multiply(X_23,Y),inverse(X_23))) = multiply(X_23,Y),
inference(subst,[],[refute_0_162:[bind(X,$fot(X_22)),bind(X_15,$fot(X_23)),bind(X_20,$fot(multiply(X_23,Y)))]]) ).
cnf(refute_0_164,plain,
multiply(multiply(X_23,Y),inverse(X_23)) = Y,
inference(subst,[],[refute_0_61:[bind(X_0,$fot(X_23))]]) ).
cnf(refute_0_165,plain,
( multiply(multiply(X_23,Y),inverse(X_23)) != Y
| multiply(multiply(X_23,multiply(X_22,inverse(X_22))),multiply(multiply(X_23,Y),inverse(X_23))) != multiply(X_23,Y)
| multiply(multiply(X_23,multiply(X_22,inverse(X_22))),Y) = multiply(X_23,Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_23,multiply(X_22,inverse(X_22))),multiply(multiply(X_23,Y),inverse(X_23))),multiply(X_23,Y)) ),[0,1],$fot(Y)]]) ).
cnf(refute_0_166,plain,
( multiply(multiply(X_23,multiply(X_22,inverse(X_22))),multiply(multiply(X_23,Y),inverse(X_23))) != multiply(X_23,Y)
| multiply(multiply(X_23,multiply(X_22,inverse(X_22))),Y) = multiply(X_23,Y) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_23,Y),inverse(X_23)),Y) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
multiply(multiply(X_23,multiply(X_22,inverse(X_22))),Y) = multiply(X_23,Y),
inference(resolve,[$cnf( $equal(multiply(multiply(X_23,multiply(X_22,inverse(X_22))),multiply(multiply(X_23,Y),inverse(X_23))),multiply(X_23,Y)) )],[refute_0_163,refute_0_166]) ).
cnf(refute_0_168,plain,
multiply(multiply(X_27,multiply(X_26,inverse(X_26))),inverse(X_3)) = multiply(X_27,inverse(X_3)),
inference(subst,[],[refute_0_167:[bind(Y,$fot(inverse(X_3))),bind(X_22,$fot(X_26)),bind(X_23,$fot(X_27))]]) ).
cnf(refute_0_169,plain,
( multiply(X_3,multiply(multiply(X_27,multiply(X_26,inverse(X_26))),inverse(X_3))) != multiply(X_27,multiply(X_26,inverse(X_26)))
| multiply(multiply(X_27,multiply(X_26,inverse(X_26))),inverse(X_3)) != multiply(X_27,inverse(X_3))
| multiply(X_3,multiply(X_27,inverse(X_3))) = multiply(X_27,multiply(X_26,inverse(X_26))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_3,multiply(multiply(X_27,multiply(X_26,inverse(X_26))),inverse(X_3))),multiply(X_27,multiply(X_26,inverse(X_26)))) ),[0,1],$fot(multiply(X_27,inverse(X_3)))]]) ).
cnf(refute_0_170,plain,
( multiply(X_3,multiply(multiply(X_27,multiply(X_26,inverse(X_26))),inverse(X_3))) != multiply(X_27,multiply(X_26,inverse(X_26)))
| multiply(X_3,multiply(X_27,inverse(X_3))) = multiply(X_27,multiply(X_26,inverse(X_26))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_27,multiply(X_26,inverse(X_26))),inverse(X_3)),multiply(X_27,inverse(X_3))) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
multiply(X_3,multiply(X_27,inverse(X_3))) = multiply(X_27,multiply(X_26,inverse(X_26))),
inference(resolve,[$cnf( $equal(multiply(X_3,multiply(multiply(X_27,multiply(X_26,inverse(X_26))),inverse(X_3))),multiply(X_27,multiply(X_26,inverse(X_26)))) )],[refute_0_131,refute_0_170]) ).
cnf(refute_0_172,plain,
multiply(X_3,multiply(X_27,inverse(X_3))) = X_27,
inference(subst,[],[refute_0_130:[bind(Y,$fot(X_27))]]) ).
cnf(refute_0_173,plain,
( multiply(X_3,multiply(X_27,inverse(X_3))) != X_27
| multiply(X_3,multiply(X_27,inverse(X_3))) != multiply(X_27,multiply(X_26,inverse(X_26)))
| X_27 = multiply(X_27,multiply(X_26,inverse(X_26))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_3,multiply(X_27,inverse(X_3))),multiply(X_27,multiply(X_26,inverse(X_26)))) ),[0],$fot(X_27)]]) ).
cnf(refute_0_174,plain,
( multiply(X_3,multiply(X_27,inverse(X_3))) != multiply(X_27,multiply(X_26,inverse(X_26)))
| X_27 = multiply(X_27,multiply(X_26,inverse(X_26))) ),
inference(resolve,[$cnf( $equal(multiply(X_3,multiply(X_27,inverse(X_3))),X_27) )],[refute_0_172,refute_0_173]) ).
cnf(refute_0_175,plain,
X_27 = multiply(X_27,multiply(X_26,inverse(X_26))),
inference(resolve,[$cnf( $equal(multiply(X_3,multiply(X_27,inverse(X_3))),multiply(X_27,multiply(X_26,inverse(X_26)))) )],[refute_0_171,refute_0_174]) ).
cnf(refute_0_176,plain,
X_36 = multiply(X_36,multiply(inverse(inverse(X_33)),inverse(inverse(inverse(X_33))))),
inference(subst,[],[refute_0_175:[bind(X_26,$fot(inverse(inverse(X_33)))),bind(X_27,$fot(X_36))]]) ).
cnf(refute_0_177,plain,
multiply(multiply(X_0,inverse(X_0)),inverse(X_0)) = inverse(X_0),
inference(subst,[],[refute_0_61:[bind(Y,$fot(inverse(X_0)))]]) ).
cnf(refute_0_178,plain,
multiply(multiply(X_0,multiply(X_26,inverse(X_26))),inverse(X_0)) = multiply(X_26,inverse(X_26)),
inference(subst,[],[refute_0_61:[bind(Y,$fot(multiply(X_26,inverse(X_26))))]]) ).
cnf(refute_0_179,plain,
multiply(multiply(X_0,multiply(X_26,inverse(X_26))),inverse(X_0)) = multiply(X_0,inverse(X_0)),
inference(subst,[],[refute_0_167:[bind(Y,$fot(inverse(X_0))),bind(X_22,$fot(X_26)),bind(X_23,$fot(X_0))]]) ).
cnf(refute_0_180,plain,
( multiply(multiply(X_0,multiply(X_26,inverse(X_26))),inverse(X_0)) != multiply(X_0,inverse(X_0))
| multiply(multiply(X_0,multiply(X_26,inverse(X_26))),inverse(X_0)) != multiply(X_26,inverse(X_26))
| multiply(X_0,inverse(X_0)) = multiply(X_26,inverse(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_0,multiply(X_26,inverse(X_26))),inverse(X_0)),multiply(X_26,inverse(X_26))) ),[0],$fot(multiply(X_0,inverse(X_0)))]]) ).
cnf(refute_0_181,plain,
( multiply(multiply(X_0,multiply(X_26,inverse(X_26))),inverse(X_0)) != multiply(X_26,inverse(X_26))
| multiply(X_0,inverse(X_0)) = multiply(X_26,inverse(X_26)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_0,multiply(X_26,inverse(X_26))),inverse(X_0)),multiply(X_0,inverse(X_0))) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
multiply(X_0,inverse(X_0)) = multiply(X_26,inverse(X_26)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_0,multiply(X_26,inverse(X_26))),inverse(X_0)),multiply(X_26,inverse(X_26))) )],[refute_0_178,refute_0_181]) ).
cnf(refute_0_183,plain,
multiply(X_0,inverse(X_0)) = multiply(X_29,inverse(X_29)),
inference(subst,[],[refute_0_182:[bind(X_26,$fot(X_29))]]) ).
cnf(refute_0_184,plain,
( multiply(X_0,inverse(X_0)) != multiply(X_29,inverse(X_29))
| multiply(multiply(X_0,inverse(X_0)),inverse(X_0)) != inverse(X_0)
| multiply(multiply(X_29,inverse(X_29)),inverse(X_0)) = inverse(X_0) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_0,inverse(X_0)),inverse(X_0)),inverse(X_0)) ),[0,0],$fot(multiply(X_29,inverse(X_29)))]]) ).
cnf(refute_0_185,plain,
( multiply(multiply(X_0,inverse(X_0)),inverse(X_0)) != inverse(X_0)
| multiply(multiply(X_29,inverse(X_29)),inverse(X_0)) = inverse(X_0) ),
inference(resolve,[$cnf( $equal(multiply(X_0,inverse(X_0)),multiply(X_29,inverse(X_29))) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
multiply(multiply(X_29,inverse(X_29)),inverse(X_0)) = inverse(X_0),
inference(resolve,[$cnf( $equal(multiply(multiply(X_0,inverse(X_0)),inverse(X_0)),inverse(X_0)) )],[refute_0_177,refute_0_185]) ).
cnf(refute_0_187,plain,
multiply(multiply(multiply(X_31,inverse(X_31)),inverse(multiply(X_31,inverse(X_31)))),inverse(X_0)) = inverse(X_0),
inference(subst,[],[refute_0_186:[bind(X_29,$fot(multiply(X_31,inverse(X_31))))]]) ).
cnf(refute_0_188,plain,
multiply(multiply(X_31,inverse(X_31)),inverse(multiply(X_31,inverse(X_31)))) = inverse(multiply(X_31,inverse(X_31))),
inference(subst,[],[refute_0_186:[bind(X_0,$fot(multiply(X_31,inverse(X_31)))),bind(X_29,$fot(X_31))]]) ).
cnf(refute_0_189,plain,
( multiply(multiply(X_31,inverse(X_31)),inverse(multiply(X_31,inverse(X_31)))) != inverse(multiply(X_31,inverse(X_31)))
| multiply(multiply(multiply(X_31,inverse(X_31)),inverse(multiply(X_31,inverse(X_31)))),inverse(X_0)) != inverse(X_0)
| multiply(inverse(multiply(X_31,inverse(X_31))),inverse(X_0)) = inverse(X_0) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_31,inverse(X_31)),inverse(multiply(X_31,inverse(X_31)))),inverse(X_0)),inverse(X_0)) ),[0,0],$fot(inverse(multiply(X_31,inverse(X_31))))]]) ).
cnf(refute_0_190,plain,
( multiply(multiply(multiply(X_31,inverse(X_31)),inverse(multiply(X_31,inverse(X_31)))),inverse(X_0)) != inverse(X_0)
| multiply(inverse(multiply(X_31,inverse(X_31))),inverse(X_0)) = inverse(X_0) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_31,inverse(X_31)),inverse(multiply(X_31,inverse(X_31)))),inverse(multiply(X_31,inverse(X_31)))) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
multiply(inverse(multiply(X_31,inverse(X_31))),inverse(X_0)) = inverse(X_0),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_31,inverse(X_31)),inverse(multiply(X_31,inverse(X_31)))),inverse(X_0)),inverse(X_0)) )],[refute_0_187,refute_0_190]) ).
cnf(refute_0_192,plain,
multiply(multiply(inverse(X_14),Z),inverse(multiply(multiply(multiply(multiply(X_14,inverse(X_15)),inverse(X_14)),X_2),Z))) = inverse(multiply(multiply(X_14,inverse(X_15)),X_2)),
inference(subst,[],[refute_0_9:[bind(X_0,$fot(multiply(X_14,inverse(X_15)))),bind(X_1,$fot(inverse(X_14)))]]) ).
cnf(refute_0_193,plain,
multiply(multiply(X_14,inverse(X_15)),inverse(X_14)) = inverse(X_15),
inference(subst,[],[refute_0_26:[bind(X_1,$fot(X_14)),bind(X_12,$fot(X_15))]]) ).
cnf(refute_0_194,plain,
( multiply(multiply(X_14,inverse(X_15)),inverse(X_14)) != inverse(X_15)
| multiply(multiply(inverse(X_14),Z),inverse(multiply(multiply(multiply(multiply(X_14,inverse(X_15)),inverse(X_14)),X_2),Z))) != inverse(multiply(multiply(X_14,inverse(X_15)),X_2))
| multiply(multiply(inverse(X_14),Z),inverse(multiply(multiply(inverse(X_15),X_2),Z))) = inverse(multiply(multiply(X_14,inverse(X_15)),X_2)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_14),Z),inverse(multiply(multiply(multiply(multiply(X_14,inverse(X_15)),inverse(X_14)),X_2),Z))),inverse(multiply(multiply(X_14,inverse(X_15)),X_2))) ),[0,1,0,0,0],$fot(inverse(X_15))]]) ).
cnf(refute_0_195,plain,
( multiply(multiply(inverse(X_14),Z),inverse(multiply(multiply(multiply(multiply(X_14,inverse(X_15)),inverse(X_14)),X_2),Z))) != inverse(multiply(multiply(X_14,inverse(X_15)),X_2))
| multiply(multiply(inverse(X_14),Z),inverse(multiply(multiply(inverse(X_15),X_2),Z))) = inverse(multiply(multiply(X_14,inverse(X_15)),X_2)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_14,inverse(X_15)),inverse(X_14)),inverse(X_15)) )],[refute_0_193,refute_0_194]) ).
cnf(refute_0_196,plain,
multiply(multiply(inverse(X_14),Z),inverse(multiply(multiply(inverse(X_15),X_2),Z))) = inverse(multiply(multiply(X_14,inverse(X_15)),X_2)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_14),Z),inverse(multiply(multiply(multiply(multiply(X_14,inverse(X_15)),inverse(X_14)),X_2),Z))),inverse(multiply(multiply(X_14,inverse(X_15)),X_2))) )],[refute_0_192,refute_0_195]) ).
cnf(refute_0_197,plain,
multiply(inverse(X_14),inverse(multiply(inverse(X_15),X_2))) = inverse(multiply(X_14,multiply(inverse(X_15),X_2))),
inference(subst,[],[refute_0_155:[bind(X_0,$fot(X_14)),bind(X_1,$fot(multiply(inverse(X_15),X_2)))]]) ).
cnf(refute_0_198,plain,
multiply(multiply(inverse(X_14),Z),inverse(multiply(multiply(inverse(X_15),X_2),Z))) = multiply(inverse(X_14),inverse(multiply(inverse(X_15),X_2))),
inference(subst,[],[refute_0_106:[bind(X,$fot(multiply(inverse(X_15),X_2))),bind(X_3,$fot(inverse(X_14)))]]) ).
cnf(refute_0_199,plain,
( multiply(multiply(inverse(X_14),Z),inverse(multiply(multiply(inverse(X_15),X_2),Z))) != multiply(inverse(X_14),inverse(multiply(inverse(X_15),X_2)))
| multiply(inverse(X_14),inverse(multiply(inverse(X_15),X_2))) != inverse(multiply(X_14,multiply(inverse(X_15),X_2)))
| multiply(multiply(inverse(X_14),Z),inverse(multiply(multiply(inverse(X_15),X_2),Z))) = inverse(multiply(X_14,multiply(inverse(X_15),X_2))) ),
inference(subst,[],[refute_0_113:[bind(X0,$fot(multiply(multiply(inverse(X_14),Z),inverse(multiply(multiply(inverse(X_15),X_2),Z))))),bind(Y0,$fot(multiply(inverse(X_14),inverse(multiply(inverse(X_15),X_2))))),bind(Z0,$fot(inverse(multiply(X_14,multiply(inverse(X_15),X_2)))))]]) ).
cnf(refute_0_200,plain,
( multiply(inverse(X_14),inverse(multiply(inverse(X_15),X_2))) != inverse(multiply(X_14,multiply(inverse(X_15),X_2)))
| multiply(multiply(inverse(X_14),Z),inverse(multiply(multiply(inverse(X_15),X_2),Z))) = inverse(multiply(X_14,multiply(inverse(X_15),X_2))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_14),Z),inverse(multiply(multiply(inverse(X_15),X_2),Z))),multiply(inverse(X_14),inverse(multiply(inverse(X_15),X_2)))) )],[refute_0_198,refute_0_199]) ).
cnf(refute_0_201,plain,
multiply(multiply(inverse(X_14),Z),inverse(multiply(multiply(inverse(X_15),X_2),Z))) = inverse(multiply(X_14,multiply(inverse(X_15),X_2))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_14),inverse(multiply(inverse(X_15),X_2))),inverse(multiply(X_14,multiply(inverse(X_15),X_2)))) )],[refute_0_197,refute_0_200]) ).
cnf(refute_0_202,plain,
( multiply(multiply(inverse(X_14),Z),inverse(multiply(multiply(inverse(X_15),X_2),Z))) != inverse(multiply(X_14,multiply(inverse(X_15),X_2)))
| multiply(multiply(inverse(X_14),Z),inverse(multiply(multiply(inverse(X_15),X_2),Z))) != inverse(multiply(multiply(X_14,inverse(X_15)),X_2))
| inverse(multiply(X_14,multiply(inverse(X_15),X_2))) = inverse(multiply(multiply(X_14,inverse(X_15)),X_2)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_14),Z),inverse(multiply(multiply(inverse(X_15),X_2),Z))),inverse(multiply(multiply(X_14,inverse(X_15)),X_2))) ),[0],$fot(inverse(multiply(X_14,multiply(inverse(X_15),X_2))))]]) ).
cnf(refute_0_203,plain,
( multiply(multiply(inverse(X_14),Z),inverse(multiply(multiply(inverse(X_15),X_2),Z))) != inverse(multiply(multiply(X_14,inverse(X_15)),X_2))
| inverse(multiply(X_14,multiply(inverse(X_15),X_2))) = inverse(multiply(multiply(X_14,inverse(X_15)),X_2)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_14),Z),inverse(multiply(multiply(inverse(X_15),X_2),Z))),inverse(multiply(X_14,multiply(inverse(X_15),X_2)))) )],[refute_0_201,refute_0_202]) ).
cnf(refute_0_204,plain,
inverse(multiply(X_14,multiply(inverse(X_15),X_2))) = inverse(multiply(multiply(X_14,inverse(X_15)),X_2)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_14),Z),inverse(multiply(multiply(inverse(X_15),X_2),Z))),inverse(multiply(multiply(X_14,inverse(X_15)),X_2))) )],[refute_0_196,refute_0_203]) ).
cnf(refute_0_205,plain,
( inverse(multiply(X_14,multiply(inverse(X_15),X_2))) != inverse(multiply(multiply(X_14,inverse(X_15)),X_2))
| inverse(multiply(multiply(X_14,inverse(X_15)),X_2)) = inverse(multiply(X_14,multiply(inverse(X_15),X_2))) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(inverse(multiply(X_14,multiply(inverse(X_15),X_2))))),bind(Y0,$fot(inverse(multiply(multiply(X_14,inverse(X_15)),X_2))))]]) ).
cnf(refute_0_206,plain,
inverse(multiply(multiply(X_14,inverse(X_15)),X_2)) = inverse(multiply(X_14,multiply(inverse(X_15),X_2))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_14,multiply(inverse(X_15),X_2))),inverse(multiply(multiply(X_14,inverse(X_15)),X_2))) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
inverse(multiply(multiply(X_31,inverse(X_31)),X_0)) = inverse(multiply(X_31,multiply(inverse(X_31),X_0))),
inference(subst,[],[refute_0_206:[bind(X_14,$fot(X_31)),bind(X_15,$fot(X_31)),bind(X_2,$fot(X_0))]]) ).
cnf(refute_0_208,plain,
multiply(inverse(multiply(X_31,inverse(X_31))),inverse(X_0)) = inverse(multiply(multiply(X_31,inverse(X_31)),X_0)),
inference(subst,[],[refute_0_155:[bind(X_0,$fot(multiply(X_31,inverse(X_31)))),bind(X_1,$fot(X_0))]]) ).
cnf(refute_0_209,plain,
( multiply(inverse(multiply(X_31,inverse(X_31))),inverse(X_0)) != inverse(multiply(multiply(X_31,inverse(X_31)),X_0))
| inverse(multiply(multiply(X_31,inverse(X_31)),X_0)) != inverse(multiply(X_31,multiply(inverse(X_31),X_0)))
| multiply(inverse(multiply(X_31,inverse(X_31))),inverse(X_0)) = inverse(multiply(X_31,multiply(inverse(X_31),X_0))) ),
inference(subst,[],[refute_0_113:[bind(X0,$fot(multiply(inverse(multiply(X_31,inverse(X_31))),inverse(X_0)))),bind(Y0,$fot(inverse(multiply(multiply(X_31,inverse(X_31)),X_0)))),bind(Z0,$fot(inverse(multiply(X_31,multiply(inverse(X_31),X_0)))))]]) ).
cnf(refute_0_210,plain,
( inverse(multiply(multiply(X_31,inverse(X_31)),X_0)) != inverse(multiply(X_31,multiply(inverse(X_31),X_0)))
| multiply(inverse(multiply(X_31,inverse(X_31))),inverse(X_0)) = inverse(multiply(X_31,multiply(inverse(X_31),X_0))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_31,inverse(X_31))),inverse(X_0)),inverse(multiply(multiply(X_31,inverse(X_31)),X_0))) )],[refute_0_208,refute_0_209]) ).
cnf(refute_0_211,plain,
multiply(inverse(multiply(X_31,inverse(X_31))),inverse(X_0)) = inverse(multiply(X_31,multiply(inverse(X_31),X_0))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_31,inverse(X_31)),X_0)),inverse(multiply(X_31,multiply(inverse(X_31),X_0)))) )],[refute_0_207,refute_0_210]) ).
cnf(refute_0_212,plain,
( multiply(inverse(multiply(X_31,inverse(X_31))),inverse(X_0)) != inverse(X_0)
| multiply(inverse(multiply(X_31,inverse(X_31))),inverse(X_0)) != inverse(multiply(X_31,multiply(inverse(X_31),X_0)))
| inverse(multiply(X_31,multiply(inverse(X_31),X_0))) = inverse(X_0) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_31,inverse(X_31))),inverse(X_0)),inverse(X_0)) ),[0],$fot(inverse(multiply(X_31,multiply(inverse(X_31),X_0))))]]) ).
cnf(refute_0_213,plain,
( multiply(inverse(multiply(X_31,inverse(X_31))),inverse(X_0)) != inverse(X_0)
| inverse(multiply(X_31,multiply(inverse(X_31),X_0))) = inverse(X_0) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_31,inverse(X_31))),inverse(X_0)),inverse(multiply(X_31,multiply(inverse(X_31),X_0)))) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
inverse(multiply(X_31,multiply(inverse(X_31),X_0))) = inverse(X_0),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_31,inverse(X_31))),inverse(X_0)),inverse(X_0)) )],[refute_0_191,refute_0_213]) ).
cnf(refute_0_215,plain,
inverse(multiply(X_33,multiply(inverse(X_33),inverse(inverse(X_33))))) = inverse(inverse(inverse(X_33))),
inference(subst,[],[refute_0_214:[bind(X_0,$fot(inverse(inverse(X_33)))),bind(X_31,$fot(X_33))]]) ).
cnf(refute_0_216,plain,
multiply(X_0,inverse(X_0)) = multiply(inverse(X_33),inverse(inverse(X_33))),
inference(subst,[],[refute_0_182:[bind(X_26,$fot(inverse(X_33)))]]) ).
cnf(refute_0_217,plain,
( multiply(X_0,inverse(X_0)) != multiply(inverse(X_33),inverse(inverse(X_33)))
| multiply(inverse(X_33),inverse(inverse(X_33))) = multiply(X_0,inverse(X_0)) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(multiply(X_0,inverse(X_0)))),bind(Y0,$fot(multiply(inverse(X_33),inverse(inverse(X_33)))))]]) ).
cnf(refute_0_218,plain,
multiply(inverse(X_33),inverse(inverse(X_33))) = multiply(X_0,inverse(X_0)),
inference(resolve,[$cnf( $equal(multiply(X_0,inverse(X_0)),multiply(inverse(X_33),inverse(inverse(X_33)))) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
( multiply(inverse(X_33),inverse(inverse(X_33))) != multiply(X_0,inverse(X_0))
| inverse(multiply(X_33,multiply(inverse(X_33),inverse(inverse(X_33))))) != inverse(inverse(inverse(X_33)))
| inverse(multiply(X_33,multiply(X_0,inverse(X_0)))) = inverse(inverse(inverse(X_33))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_33,multiply(inverse(X_33),inverse(inverse(X_33))))),inverse(inverse(inverse(X_33)))) ),[0,0,1],$fot(multiply(X_0,inverse(X_0)))]]) ).
cnf(refute_0_220,plain,
( inverse(multiply(X_33,multiply(inverse(X_33),inverse(inverse(X_33))))) != inverse(inverse(inverse(X_33)))
| inverse(multiply(X_33,multiply(X_0,inverse(X_0)))) = inverse(inverse(inverse(X_33))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_33),inverse(inverse(X_33))),multiply(X_0,inverse(X_0))) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
inverse(multiply(X_33,multiply(X_0,inverse(X_0)))) = inverse(inverse(inverse(X_33))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_33,multiply(inverse(X_33),inverse(inverse(X_33))))),inverse(inverse(inverse(X_33)))) )],[refute_0_215,refute_0_220]) ).
cnf(refute_0_222,plain,
( X_27 != multiply(X_27,multiply(X_26,inverse(X_26)))
| multiply(X_27,multiply(X_26,inverse(X_26))) = X_27 ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(X_27)),bind(Y0,$fot(multiply(X_27,multiply(X_26,inverse(X_26)))))]]) ).
cnf(refute_0_223,plain,
multiply(X_27,multiply(X_26,inverse(X_26))) = X_27,
inference(resolve,[$cnf( $equal(X_27,multiply(X_27,multiply(X_26,inverse(X_26)))) )],[refute_0_175,refute_0_222]) ).
cnf(refute_0_224,plain,
multiply(X_33,multiply(X_0,inverse(X_0))) = X_33,
inference(subst,[],[refute_0_223:[bind(X_26,$fot(X_0)),bind(X_27,$fot(X_33))]]) ).
cnf(refute_0_225,plain,
inverse(multiply(X_33,multiply(X_0,inverse(X_0)))) = inverse(multiply(X_33,multiply(X_0,inverse(X_0)))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_33,multiply(X_0,inverse(X_0)))))]]) ).
cnf(refute_0_226,plain,
( multiply(X_33,multiply(X_0,inverse(X_0))) != X_33
| inverse(multiply(X_33,multiply(X_0,inverse(X_0)))) != inverse(multiply(X_33,multiply(X_0,inverse(X_0))))
| inverse(multiply(X_33,multiply(X_0,inverse(X_0)))) = inverse(X_33) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_33,multiply(X_0,inverse(X_0)))),inverse(multiply(X_33,multiply(X_0,inverse(X_0))))) ),[1,0],$fot(X_33)]]) ).
cnf(refute_0_227,plain,
( multiply(X_33,multiply(X_0,inverse(X_0))) != X_33
| inverse(multiply(X_33,multiply(X_0,inverse(X_0)))) = inverse(X_33) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_33,multiply(X_0,inverse(X_0)))),inverse(multiply(X_33,multiply(X_0,inverse(X_0))))) )],[refute_0_225,refute_0_226]) ).
cnf(refute_0_228,plain,
inverse(multiply(X_33,multiply(X_0,inverse(X_0)))) = inverse(X_33),
inference(resolve,[$cnf( $equal(multiply(X_33,multiply(X_0,inverse(X_0))),X_33) )],[refute_0_224,refute_0_227]) ).
cnf(refute_0_229,plain,
( inverse(multiply(X_33,multiply(X_0,inverse(X_0)))) != inverse(X_33)
| inverse(multiply(X_33,multiply(X_0,inverse(X_0)))) != inverse(inverse(inverse(X_33)))
| inverse(X_33) = inverse(inverse(inverse(X_33))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_33,multiply(X_0,inverse(X_0)))),inverse(inverse(inverse(X_33)))) ),[0],$fot(inverse(X_33))]]) ).
cnf(refute_0_230,plain,
( inverse(multiply(X_33,multiply(X_0,inverse(X_0)))) != inverse(inverse(inverse(X_33)))
| inverse(X_33) = inverse(inverse(inverse(X_33))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_33,multiply(X_0,inverse(X_0)))),inverse(X_33)) )],[refute_0_228,refute_0_229]) ).
cnf(refute_0_231,plain,
inverse(X_33) = inverse(inverse(inverse(X_33))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_33,multiply(X_0,inverse(X_0)))),inverse(inverse(inverse(X_33)))) )],[refute_0_221,refute_0_230]) ).
cnf(refute_0_232,plain,
( inverse(X_33) != inverse(inverse(inverse(X_33)))
| inverse(inverse(inverse(X_33))) = inverse(X_33) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(inverse(X_33))),bind(Y0,$fot(inverse(inverse(inverse(X_33)))))]]) ).
cnf(refute_0_233,plain,
inverse(inverse(inverse(X_33))) = inverse(X_33),
inference(resolve,[$cnf( $equal(inverse(X_33),inverse(inverse(inverse(X_33)))) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
( X_36 != multiply(X_36,multiply(inverse(inverse(X_33)),inverse(inverse(inverse(X_33)))))
| inverse(inverse(inverse(X_33))) != inverse(X_33)
| X_36 = multiply(X_36,multiply(inverse(inverse(X_33)),inverse(X_33))) ),
introduced(tautology,[equality,[$cnf( $equal(X_36,multiply(X_36,multiply(inverse(inverse(X_33)),inverse(inverse(inverse(X_33)))))) ),[1,1,1],$fot(inverse(X_33))]]) ).
cnf(refute_0_235,plain,
( X_36 != multiply(X_36,multiply(inverse(inverse(X_33)),inverse(inverse(inverse(X_33)))))
| X_36 = multiply(X_36,multiply(inverse(inverse(X_33)),inverse(X_33))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(X_33))),inverse(X_33)) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
X_36 = multiply(X_36,multiply(inverse(inverse(X_33)),inverse(X_33))),
inference(resolve,[$cnf( $equal(X_36,multiply(X_36,multiply(inverse(inverse(X_33)),inverse(inverse(inverse(X_33)))))) )],[refute_0_176,refute_0_235]) ).
cnf(refute_0_237,plain,
multiply(inverse(inverse(X_33)),inverse(X_33)) = inverse(multiply(inverse(X_33),X_33)),
inference(subst,[],[refute_0_155:[bind(X_0,$fot(inverse(X_33))),bind(X_1,$fot(X_33))]]) ).
cnf(refute_0_238,plain,
multiply(X_36,multiply(inverse(inverse(X_33)),inverse(X_33))) = multiply(X_36,multiply(inverse(inverse(X_33)),inverse(X_33))),
introduced(tautology,[refl,[$fot(multiply(X_36,multiply(inverse(inverse(X_33)),inverse(X_33))))]]) ).
cnf(refute_0_239,plain,
( multiply(X_36,multiply(inverse(inverse(X_33)),inverse(X_33))) != multiply(X_36,multiply(inverse(inverse(X_33)),inverse(X_33)))
| multiply(inverse(inverse(X_33)),inverse(X_33)) != inverse(multiply(inverse(X_33),X_33))
| multiply(X_36,multiply(inverse(inverse(X_33)),inverse(X_33))) = multiply(X_36,inverse(multiply(inverse(X_33),X_33))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_36,multiply(inverse(inverse(X_33)),inverse(X_33))),multiply(X_36,multiply(inverse(inverse(X_33)),inverse(X_33)))) ),[1,1],$fot(inverse(multiply(inverse(X_33),X_33)))]]) ).
cnf(refute_0_240,plain,
( multiply(inverse(inverse(X_33)),inverse(X_33)) != inverse(multiply(inverse(X_33),X_33))
| multiply(X_36,multiply(inverse(inverse(X_33)),inverse(X_33))) = multiply(X_36,inverse(multiply(inverse(X_33),X_33))) ),
inference(resolve,[$cnf( $equal(multiply(X_36,multiply(inverse(inverse(X_33)),inverse(X_33))),multiply(X_36,multiply(inverse(inverse(X_33)),inverse(X_33)))) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
multiply(X_36,multiply(inverse(inverse(X_33)),inverse(X_33))) = multiply(X_36,inverse(multiply(inverse(X_33),X_33))),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_33)),inverse(X_33)),inverse(multiply(inverse(X_33),X_33))) )],[refute_0_237,refute_0_240]) ).
cnf(refute_0_242,plain,
( X_36 != multiply(X_36,multiply(inverse(inverse(X_33)),inverse(X_33)))
| multiply(X_36,multiply(inverse(inverse(X_33)),inverse(X_33))) != multiply(X_36,inverse(multiply(inverse(X_33),X_33)))
| X_36 = multiply(X_36,inverse(multiply(inverse(X_33),X_33))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_36,multiply(X_36,inverse(multiply(inverse(X_33),X_33)))) ),[0],$fot(multiply(X_36,multiply(inverse(inverse(X_33)),inverse(X_33))))]]) ).
cnf(refute_0_243,plain,
( X_36 != multiply(X_36,multiply(inverse(inverse(X_33)),inverse(X_33)))
| X_36 = multiply(X_36,inverse(multiply(inverse(X_33),X_33))) ),
inference(resolve,[$cnf( $equal(multiply(X_36,multiply(inverse(inverse(X_33)),inverse(X_33))),multiply(X_36,inverse(multiply(inverse(X_33),X_33)))) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
X_36 = multiply(X_36,inverse(multiply(inverse(X_33),X_33))),
inference(resolve,[$cnf( $equal(X_36,multiply(X_36,multiply(inverse(inverse(X_33)),inverse(X_33)))) )],[refute_0_236,refute_0_243]) ).
cnf(refute_0_245,plain,
multiply(multiply(inverse(X_37),X_37),Y) = multiply(multiply(multiply(inverse(X_37),X_37),Y),inverse(multiply(inverse(X_37),X_37))),
inference(subst,[],[refute_0_244:[bind(X_33,$fot(X_37)),bind(X_36,$fot(multiply(multiply(inverse(X_37),X_37),Y)))]]) ).
cnf(refute_0_246,plain,
( multiply(multiply(inverse(X_37),X_37),Y) != multiply(multiply(multiply(inverse(X_37),X_37),Y),inverse(multiply(inverse(X_37),X_37)))
| multiply(multiply(multiply(inverse(X_37),X_37),Y),inverse(multiply(inverse(X_37),X_37))) = multiply(multiply(inverse(X_37),X_37),Y) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(multiply(multiply(inverse(X_37),X_37),Y))),bind(Y0,$fot(multiply(multiply(multiply(inverse(X_37),X_37),Y),inverse(multiply(inverse(X_37),X_37)))))]]) ).
cnf(refute_0_247,plain,
multiply(multiply(multiply(inverse(X_37),X_37),Y),inverse(multiply(inverse(X_37),X_37))) = multiply(multiply(inverse(X_37),X_37),Y),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_37),X_37),Y),multiply(multiply(multiply(inverse(X_37),X_37),Y),inverse(multiply(inverse(X_37),X_37)))) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
( multiply(multiply(multiply(inverse(X_37),X_37),Y),inverse(multiply(inverse(X_37),X_37))) != Y
| multiply(multiply(multiply(inverse(X_37),X_37),Y),inverse(multiply(inverse(X_37),X_37))) != multiply(multiply(inverse(X_37),X_37),Y)
| multiply(multiply(inverse(X_37),X_37),Y) = Y ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(inverse(X_37),X_37),Y),inverse(multiply(inverse(X_37),X_37))),Y) ),[0],$fot(multiply(multiply(inverse(X_37),X_37),Y))]]) ).
cnf(refute_0_249,plain,
( multiply(multiply(multiply(inverse(X_37),X_37),Y),inverse(multiply(inverse(X_37),X_37))) != Y
| multiply(multiply(inverse(X_37),X_37),Y) = Y ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(X_37),X_37),Y),inverse(multiply(inverse(X_37),X_37))),multiply(multiply(inverse(X_37),X_37),Y)) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
multiply(multiply(inverse(X_37),X_37),Y) = Y,
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(X_37),X_37),Y),inverse(multiply(inverse(X_37),X_37))),Y) )],[refute_0_62,refute_0_249]) ).
cnf(refute_0_251,plain,
multiply(multiply(inverse(b2),b2),a2) = a2,
inference(subst,[],[refute_0_250:[bind(Y,$fot(a2)),bind(X_37,$fot(b2))]]) ).
cnf(refute_0_252,plain,
( multiply(multiply(inverse(b2),b2),a2) != a2
| a2 != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(inverse(b2),b2),a2),a2) ),[0],$fot(a2)]]) ).
cnf(refute_0_253,plain,
( a2 != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),a2) )],[refute_0_251,refute_0_252]) ).
cnf(refute_0_254,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| a2 != a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),a2) )],[refute_0_253,prove_these_axioms]) ).
cnf(refute_0_255,plain,
a2 = a2,
introduced(tautology,[refl,[$fot(a2)]]) ).
cnf(refute_0_256,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(a2,a2) )],[refute_0_255,refute_0_254]) ).
cnf(refute_0_257,plain,
multiply(multiply(X_62,X_61),inverse(multiply(inverse(Y),X_61))) = multiply(X_62,inverse(inverse(Y))),
inference(subst,[],[refute_0_106:[bind(X,$fot(inverse(Y))),bind(Z,$fot(X_61)),bind(X_3,$fot(X_62))]]) ).
cnf(refute_0_258,plain,
multiply(multiply(inverse(Y),Y),inverse(inverse(Y))) = Y,
inference(subst,[],[refute_0_61:[bind(X_0,$fot(inverse(Y)))]]) ).
cnf(refute_0_259,plain,
multiply(multiply(inverse(Y),Y),inverse(inverse(Y))) = inverse(inverse(Y)),
inference(subst,[],[refute_0_250:[bind(Y,$fot(inverse(inverse(Y)))),bind(X_37,$fot(Y))]]) ).
cnf(refute_0_260,plain,
( multiply(multiply(inverse(Y),Y),inverse(inverse(Y))) != Y
| multiply(multiply(inverse(Y),Y),inverse(inverse(Y))) != inverse(inverse(Y))
| inverse(inverse(Y)) = Y ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(Y),Y),inverse(inverse(Y))),Y) ),[0],$fot(inverse(inverse(Y)))]]) ).
cnf(refute_0_261,plain,
( multiply(multiply(inverse(Y),Y),inverse(inverse(Y))) != Y
| inverse(inverse(Y)) = Y ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(Y),Y),inverse(inverse(Y))),inverse(inverse(Y))) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
inverse(inverse(Y)) = Y,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(Y),Y),inverse(inverse(Y))),Y) )],[refute_0_258,refute_0_261]) ).
cnf(refute_0_263,plain,
( multiply(multiply(X_62,X_61),inverse(multiply(inverse(Y),X_61))) != multiply(X_62,inverse(inverse(Y)))
| inverse(inverse(Y)) != Y
| multiply(multiply(X_62,X_61),inverse(multiply(inverse(Y),X_61))) = multiply(X_62,Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_62,X_61),inverse(multiply(inverse(Y),X_61))),multiply(X_62,inverse(inverse(Y)))) ),[1,1],$fot(Y)]]) ).
cnf(refute_0_264,plain,
( multiply(multiply(X_62,X_61),inverse(multiply(inverse(Y),X_61))) != multiply(X_62,inverse(inverse(Y)))
| multiply(multiply(X_62,X_61),inverse(multiply(inverse(Y),X_61))) = multiply(X_62,Y) ),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_262,refute_0_263]) ).
cnf(refute_0_265,plain,
multiply(multiply(X_62,X_61),inverse(multiply(inverse(Y),X_61))) = multiply(X_62,Y),
inference(resolve,[$cnf( $equal(multiply(multiply(X_62,X_61),inverse(multiply(inverse(Y),X_61))),multiply(X_62,inverse(inverse(Y)))) )],[refute_0_257,refute_0_264]) ).
cnf(refute_0_266,plain,
multiply(multiply(X_62,inverse(X_62)),inverse(multiply(X_60,inverse(X_62)))) = multiply(X_62,inverse(X_60)),
inference(subst,[],[refute_0_106:[bind(X,$fot(X_60)),bind(Z,$fot(inverse(X_62))),bind(X_3,$fot(X_62))]]) ).
cnf(refute_0_267,plain,
multiply(X_0,inverse(X_0)) = multiply(X_62,inverse(X_62)),
inference(subst,[],[refute_0_182:[bind(X_26,$fot(X_62))]]) ).
cnf(refute_0_268,plain,
( multiply(X_0,inverse(X_0)) != multiply(X_62,inverse(X_62))
| multiply(X_62,inverse(X_62)) = multiply(X_0,inverse(X_0)) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(multiply(X_0,inverse(X_0)))),bind(Y0,$fot(multiply(X_62,inverse(X_62))))]]) ).
cnf(refute_0_269,plain,
multiply(X_62,inverse(X_62)) = multiply(X_0,inverse(X_0)),
inference(resolve,[$cnf( $equal(multiply(X_0,inverse(X_0)),multiply(X_62,inverse(X_62))) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
( multiply(X_62,inverse(X_62)) != multiply(X_0,inverse(X_0))
| multiply(multiply(X_62,inverse(X_62)),inverse(multiply(X_60,inverse(X_62)))) != multiply(X_62,inverse(X_60))
| multiply(multiply(X_0,inverse(X_0)),inverse(multiply(X_60,inverse(X_62)))) = multiply(X_62,inverse(X_60)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_62,inverse(X_62)),inverse(multiply(X_60,inverse(X_62)))),multiply(X_62,inverse(X_60))) ),[0,0],$fot(multiply(X_0,inverse(X_0)))]]) ).
cnf(refute_0_271,plain,
( multiply(multiply(X_62,inverse(X_62)),inverse(multiply(X_60,inverse(X_62)))) != multiply(X_62,inverse(X_60))
| multiply(multiply(X_0,inverse(X_0)),inverse(multiply(X_60,inverse(X_62)))) = multiply(X_62,inverse(X_60)) ),
inference(resolve,[$cnf( $equal(multiply(X_62,inverse(X_62)),multiply(X_0,inverse(X_0))) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
multiply(multiply(X_0,inverse(X_0)),inverse(multiply(X_60,inverse(X_62)))) = multiply(X_62,inverse(X_60)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_62,inverse(X_62)),inverse(multiply(X_60,inverse(X_62)))),multiply(X_62,inverse(X_60))) )],[refute_0_266,refute_0_271]) ).
cnf(refute_0_273,plain,
multiply(multiply(inverse(X_61),X_61),inverse(multiply(X_60,X_61))) = multiply(inverse(X_61),inverse(X_60)),
inference(subst,[],[refute_0_106:[bind(X,$fot(X_60)),bind(Z,$fot(X_61)),bind(X_3,$fot(inverse(X_61)))]]) ).
cnf(refute_0_274,plain,
multiply(X_0,inverse(X_0)) = multiply(multiply(inverse(X_37),X_37),inverse(multiply(inverse(X_37),X_37))),
inference(subst,[],[refute_0_182:[bind(X_26,$fot(multiply(inverse(X_37),X_37)))]]) ).
cnf(refute_0_275,plain,
multiply(inverse(X_37),X_37) = multiply(multiply(inverse(X_37),X_37),inverse(multiply(inverse(X_37),X_37))),
inference(subst,[],[refute_0_244:[bind(X_33,$fot(X_37)),bind(X_36,$fot(multiply(inverse(X_37),X_37)))]]) ).
cnf(refute_0_276,plain,
( multiply(inverse(X_37),X_37) != multiply(multiply(inverse(X_37),X_37),inverse(multiply(inverse(X_37),X_37)))
| multiply(multiply(inverse(X_37),X_37),inverse(multiply(inverse(X_37),X_37))) = multiply(inverse(X_37),X_37) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(multiply(inverse(X_37),X_37))),bind(Y0,$fot(multiply(multiply(inverse(X_37),X_37),inverse(multiply(inverse(X_37),X_37)))))]]) ).
cnf(refute_0_277,plain,
multiply(multiply(inverse(X_37),X_37),inverse(multiply(inverse(X_37),X_37))) = multiply(inverse(X_37),X_37),
inference(resolve,[$cnf( $equal(multiply(inverse(X_37),X_37),multiply(multiply(inverse(X_37),X_37),inverse(multiply(inverse(X_37),X_37)))) )],[refute_0_275,refute_0_276]) ).
cnf(refute_0_278,plain,
( multiply(X_0,inverse(X_0)) != multiply(multiply(inverse(X_37),X_37),inverse(multiply(inverse(X_37),X_37)))
| multiply(multiply(inverse(X_37),X_37),inverse(multiply(inverse(X_37),X_37))) != multiply(inverse(X_37),X_37)
| multiply(X_0,inverse(X_0)) = multiply(inverse(X_37),X_37) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_0,inverse(X_0)),multiply(inverse(X_37),X_37)) ),[0],$fot(multiply(multiply(inverse(X_37),X_37),inverse(multiply(inverse(X_37),X_37))))]]) ).
cnf(refute_0_279,plain,
( multiply(X_0,inverse(X_0)) != multiply(multiply(inverse(X_37),X_37),inverse(multiply(inverse(X_37),X_37)))
| multiply(X_0,inverse(X_0)) = multiply(inverse(X_37),X_37) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_37),X_37),inverse(multiply(inverse(X_37),X_37))),multiply(inverse(X_37),X_37)) )],[refute_0_277,refute_0_278]) ).
cnf(refute_0_280,plain,
multiply(X_0,inverse(X_0)) = multiply(inverse(X_37),X_37),
inference(resolve,[$cnf( $equal(multiply(X_0,inverse(X_0)),multiply(multiply(inverse(X_37),X_37),inverse(multiply(inverse(X_37),X_37)))) )],[refute_0_274,refute_0_279]) ).
cnf(refute_0_281,plain,
multiply(X_0,inverse(X_0)) = multiply(inverse(X_61),X_61),
inference(subst,[],[refute_0_280:[bind(X_37,$fot(X_61))]]) ).
cnf(refute_0_282,plain,
( multiply(X_0,inverse(X_0)) != multiply(inverse(X_61),X_61)
| multiply(inverse(X_61),X_61) = multiply(X_0,inverse(X_0)) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(multiply(X_0,inverse(X_0)))),bind(Y0,$fot(multiply(inverse(X_61),X_61)))]]) ).
cnf(refute_0_283,plain,
multiply(inverse(X_61),X_61) = multiply(X_0,inverse(X_0)),
inference(resolve,[$cnf( $equal(multiply(X_0,inverse(X_0)),multiply(inverse(X_61),X_61)) )],[refute_0_281,refute_0_282]) ).
cnf(refute_0_284,plain,
( multiply(multiply(inverse(X_61),X_61),inverse(multiply(X_60,X_61))) != multiply(inverse(X_61),inverse(X_60))
| multiply(inverse(X_61),X_61) != multiply(X_0,inverse(X_0))
| multiply(multiply(X_0,inverse(X_0)),inverse(multiply(X_60,X_61))) = multiply(inverse(X_61),inverse(X_60)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_61),X_61),inverse(multiply(X_60,X_61))),multiply(inverse(X_61),inverse(X_60))) ),[0,0],$fot(multiply(X_0,inverse(X_0)))]]) ).
cnf(refute_0_285,plain,
( multiply(multiply(inverse(X_61),X_61),inverse(multiply(X_60,X_61))) != multiply(inverse(X_61),inverse(X_60))
| multiply(multiply(X_0,inverse(X_0)),inverse(multiply(X_60,X_61))) = multiply(inverse(X_61),inverse(X_60)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_61),X_61),multiply(X_0,inverse(X_0))) )],[refute_0_283,refute_0_284]) ).
cnf(refute_0_286,plain,
multiply(multiply(X_0,inverse(X_0)),inverse(multiply(X_60,X_61))) = multiply(inverse(X_61),inverse(X_60)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_61),X_61),inverse(multiply(X_60,X_61))),multiply(inverse(X_61),inverse(X_60))) )],[refute_0_273,refute_0_285]) ).
cnf(refute_0_287,plain,
multiply(multiply(multiply(X_0,Y),inverse(X_0)),inverse(multiply(X_60,inverse(X_0)))) = multiply(multiply(X_0,Y),inverse(X_60)),
inference(subst,[],[refute_0_106:[bind(X,$fot(X_60)),bind(Z,$fot(inverse(X_0))),bind(X_3,$fot(multiply(X_0,Y)))]]) ).
cnf(refute_0_288,plain,
( multiply(multiply(X_0,Y),inverse(X_0)) != Y
| multiply(multiply(multiply(X_0,Y),inverse(X_0)),inverse(multiply(X_60,inverse(X_0)))) != multiply(multiply(X_0,Y),inverse(X_60))
| multiply(Y,inverse(multiply(X_60,inverse(X_0)))) = multiply(multiply(X_0,Y),inverse(X_60)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_0,Y),inverse(X_0)),inverse(multiply(X_60,inverse(X_0)))),multiply(multiply(X_0,Y),inverse(X_60))) ),[0,0],$fot(Y)]]) ).
cnf(refute_0_289,plain,
( multiply(multiply(multiply(X_0,Y),inverse(X_0)),inverse(multiply(X_60,inverse(X_0)))) != multiply(multiply(X_0,Y),inverse(X_60))
| multiply(Y,inverse(multiply(X_60,inverse(X_0)))) = multiply(multiply(X_0,Y),inverse(X_60)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_0,Y),inverse(X_0)),Y) )],[refute_0_61,refute_0_288]) ).
cnf(refute_0_290,plain,
multiply(Y,inverse(multiply(X_60,inverse(X_0)))) = multiply(multiply(X_0,Y),inverse(X_60)),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_0,Y),inverse(X_0)),inverse(multiply(X_60,inverse(X_0)))),multiply(multiply(X_0,Y),inverse(X_60))) )],[refute_0_287,refute_0_289]) ).
cnf(refute_0_291,plain,
inverse(multiply(X_60,inverse(X_0))) = multiply(X_0,inverse(X_60)),
inference(subst,[],[refute_0_57:[bind(X_0,$fot(X_60)),bind(X_3,$fot(X_0))]]) ).
cnf(refute_0_292,plain,
multiply(Y,inverse(multiply(X_60,inverse(X_0)))) = multiply(Y,inverse(multiply(X_60,inverse(X_0)))),
introduced(tautology,[refl,[$fot(multiply(Y,inverse(multiply(X_60,inverse(X_0)))))]]) ).
cnf(refute_0_293,plain,
( multiply(Y,inverse(multiply(X_60,inverse(X_0)))) != multiply(Y,inverse(multiply(X_60,inverse(X_0))))
| inverse(multiply(X_60,inverse(X_0))) != multiply(X_0,inverse(X_60))
| multiply(Y,inverse(multiply(X_60,inverse(X_0)))) = multiply(Y,multiply(X_0,inverse(X_60))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Y,inverse(multiply(X_60,inverse(X_0)))),multiply(Y,inverse(multiply(X_60,inverse(X_0))))) ),[1,1],$fot(multiply(X_0,inverse(X_60)))]]) ).
cnf(refute_0_294,plain,
( inverse(multiply(X_60,inverse(X_0))) != multiply(X_0,inverse(X_60))
| multiply(Y,inverse(multiply(X_60,inverse(X_0)))) = multiply(Y,multiply(X_0,inverse(X_60))) ),
inference(resolve,[$cnf( $equal(multiply(Y,inverse(multiply(X_60,inverse(X_0)))),multiply(Y,inverse(multiply(X_60,inverse(X_0))))) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
multiply(Y,inverse(multiply(X_60,inverse(X_0)))) = multiply(Y,multiply(X_0,inverse(X_60))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_60,inverse(X_0))),multiply(X_0,inverse(X_60))) )],[refute_0_291,refute_0_294]) ).
cnf(refute_0_296,plain,
( multiply(Y,inverse(multiply(X_60,inverse(X_0)))) != multiply(Y,multiply(X_0,inverse(X_60)))
| multiply(Y,inverse(multiply(X_60,inverse(X_0)))) != multiply(multiply(X_0,Y),inverse(X_60))
| multiply(Y,multiply(X_0,inverse(X_60))) = multiply(multiply(X_0,Y),inverse(X_60)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Y,inverse(multiply(X_60,inverse(X_0)))),multiply(multiply(X_0,Y),inverse(X_60))) ),[0],$fot(multiply(Y,multiply(X_0,inverse(X_60))))]]) ).
cnf(refute_0_297,plain,
( multiply(Y,inverse(multiply(X_60,inverse(X_0)))) != multiply(multiply(X_0,Y),inverse(X_60))
| multiply(Y,multiply(X_0,inverse(X_60))) = multiply(multiply(X_0,Y),inverse(X_60)) ),
inference(resolve,[$cnf( $equal(multiply(Y,inverse(multiply(X_60,inverse(X_0)))),multiply(Y,multiply(X_0,inverse(X_60)))) )],[refute_0_295,refute_0_296]) ).
cnf(refute_0_298,plain,
multiply(Y,multiply(X_0,inverse(X_60))) = multiply(multiply(X_0,Y),inverse(X_60)),
inference(resolve,[$cnf( $equal(multiply(Y,inverse(multiply(X_60,inverse(X_0)))),multiply(multiply(X_0,Y),inverse(X_60))) )],[refute_0_290,refute_0_297]) ).
cnf(refute_0_299,plain,
( multiply(Y,multiply(X_0,inverse(X_60))) != multiply(multiply(X_0,Y),inverse(X_60))
| multiply(multiply(X_0,Y),inverse(X_60)) = multiply(Y,multiply(X_0,inverse(X_60))) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(multiply(Y,multiply(X_0,inverse(X_60))))),bind(Y0,$fot(multiply(multiply(X_0,Y),inverse(X_60))))]]) ).
cnf(refute_0_300,plain,
multiply(multiply(X_0,Y),inverse(X_60)) = multiply(Y,multiply(X_0,inverse(X_60))),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(X_0,inverse(X_60))),multiply(multiply(X_0,Y),inverse(X_60))) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
multiply(multiply(X_0,inverse(X_0)),inverse(multiply(X_60,X_61))) = multiply(inverse(X_0),multiply(X_0,inverse(multiply(X_60,X_61)))),
inference(subst,[],[refute_0_300:[bind(Y,$fot(inverse(X_0))),bind(X_60,$fot(multiply(X_60,X_61)))]]) ).
cnf(refute_0_302,plain,
( multiply(multiply(X_0,inverse(X_0)),inverse(multiply(X_60,X_61))) != multiply(inverse(X_0),multiply(X_0,inverse(multiply(X_60,X_61))))
| multiply(multiply(X_0,inverse(X_0)),inverse(multiply(X_60,X_61))) != multiply(inverse(X_61),inverse(X_60))
| multiply(inverse(X_0),multiply(X_0,inverse(multiply(X_60,X_61)))) = multiply(inverse(X_61),inverse(X_60)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_0,inverse(X_0)),inverse(multiply(X_60,X_61))),multiply(inverse(X_61),inverse(X_60))) ),[0],$fot(multiply(inverse(X_0),multiply(X_0,inverse(multiply(X_60,X_61)))))]]) ).
cnf(refute_0_303,plain,
( multiply(multiply(X_0,inverse(X_0)),inverse(multiply(X_60,X_61))) != multiply(inverse(X_61),inverse(X_60))
| multiply(inverse(X_0),multiply(X_0,inverse(multiply(X_60,X_61)))) = multiply(inverse(X_61),inverse(X_60)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_0,inverse(X_0)),inverse(multiply(X_60,X_61))),multiply(inverse(X_0),multiply(X_0,inverse(multiply(X_60,X_61))))) )],[refute_0_301,refute_0_302]) ).
cnf(refute_0_304,plain,
multiply(inverse(X_61),inverse(X_60)) = inverse(multiply(X_61,X_60)),
inference(subst,[],[refute_0_155:[bind(X_0,$fot(X_61)),bind(X_1,$fot(X_60))]]) ).
cnf(refute_0_305,plain,
( multiply(inverse(X_0),multiply(X_0,inverse(multiply(X_60,X_61)))) != multiply(inverse(X_61),inverse(X_60))
| multiply(inverse(X_61),inverse(X_60)) != inverse(multiply(X_61,X_60))
| multiply(inverse(X_0),multiply(X_0,inverse(multiply(X_60,X_61)))) = inverse(multiply(X_61,X_60)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_0),multiply(X_0,inverse(multiply(X_60,X_61)))),inverse(multiply(X_61,X_60))) ),[0],$fot(multiply(inverse(X_61),inverse(X_60)))]]) ).
cnf(refute_0_306,plain,
( multiply(inverse(X_0),multiply(X_0,inverse(multiply(X_60,X_61)))) != multiply(inverse(X_61),inverse(X_60))
| multiply(inverse(X_0),multiply(X_0,inverse(multiply(X_60,X_61)))) = inverse(multiply(X_61,X_60)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_61),inverse(X_60)),inverse(multiply(X_61,X_60))) )],[refute_0_304,refute_0_305]) ).
cnf(refute_0_307,plain,
( multiply(multiply(X_0,inverse(X_0)),inverse(multiply(X_60,X_61))) != multiply(inverse(X_61),inverse(X_60))
| multiply(inverse(X_0),multiply(X_0,inverse(multiply(X_60,X_61)))) = inverse(multiply(X_61,X_60)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_0),multiply(X_0,inverse(multiply(X_60,X_61)))),multiply(inverse(X_61),inverse(X_60))) )],[refute_0_303,refute_0_306]) ).
cnf(refute_0_308,plain,
multiply(inverse(X_0),multiply(X_0,inverse(multiply(X_60,X_61)))) = inverse(multiply(X_61,X_60)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_0,inverse(X_0)),inverse(multiply(X_60,X_61))),multiply(inverse(X_61),inverse(X_60))) )],[refute_0_286,refute_0_307]) ).
cnf(refute_0_309,plain,
multiply(inverse(X_0),multiply(X_0,inverse(multiply(X_60,inverse(X_62))))) = inverse(multiply(inverse(X_62),X_60)),
inference(subst,[],[refute_0_308:[bind(X_61,$fot(inverse(X_62)))]]) ).
cnf(refute_0_310,plain,
multiply(multiply(X_0,inverse(X_0)),inverse(multiply(X_60,inverse(X_62)))) = multiply(inverse(X_0),multiply(X_0,inverse(multiply(X_60,inverse(X_62))))),
inference(subst,[],[refute_0_300:[bind(Y,$fot(inverse(X_0))),bind(X_60,$fot(multiply(X_60,inverse(X_62))))]]) ).
cnf(refute_0_311,plain,
( multiply(multiply(X_0,inverse(X_0)),inverse(multiply(X_60,inverse(X_62)))) != multiply(inverse(X_0),multiply(X_0,inverse(multiply(X_60,inverse(X_62)))))
| multiply(inverse(X_0),multiply(X_0,inverse(multiply(X_60,inverse(X_62))))) != inverse(multiply(inverse(X_62),X_60))
| multiply(multiply(X_0,inverse(X_0)),inverse(multiply(X_60,inverse(X_62)))) = inverse(multiply(inverse(X_62),X_60)) ),
inference(subst,[],[refute_0_113:[bind(X0,$fot(multiply(multiply(X_0,inverse(X_0)),inverse(multiply(X_60,inverse(X_62)))))),bind(Y0,$fot(multiply(inverse(X_0),multiply(X_0,inverse(multiply(X_60,inverse(X_62))))))),bind(Z0,$fot(inverse(multiply(inverse(X_62),X_60))))]]) ).
cnf(refute_0_312,plain,
( multiply(inverse(X_0),multiply(X_0,inverse(multiply(X_60,inverse(X_62))))) != inverse(multiply(inverse(X_62),X_60))
| multiply(multiply(X_0,inverse(X_0)),inverse(multiply(X_60,inverse(X_62)))) = inverse(multiply(inverse(X_62),X_60)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_0,inverse(X_0)),inverse(multiply(X_60,inverse(X_62)))),multiply(inverse(X_0),multiply(X_0,inverse(multiply(X_60,inverse(X_62)))))) )],[refute_0_310,refute_0_311]) ).
cnf(refute_0_313,plain,
multiply(multiply(X_0,inverse(X_0)),inverse(multiply(X_60,inverse(X_62)))) = inverse(multiply(inverse(X_62),X_60)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_0),multiply(X_0,inverse(multiply(X_60,inverse(X_62))))),inverse(multiply(inverse(X_62),X_60))) )],[refute_0_309,refute_0_312]) ).
cnf(refute_0_314,plain,
( multiply(multiply(X_0,inverse(X_0)),inverse(multiply(X_60,inverse(X_62)))) != multiply(X_62,inverse(X_60))
| multiply(multiply(X_0,inverse(X_0)),inverse(multiply(X_60,inverse(X_62)))) != inverse(multiply(inverse(X_62),X_60))
| inverse(multiply(inverse(X_62),X_60)) = multiply(X_62,inverse(X_60)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_0,inverse(X_0)),inverse(multiply(X_60,inverse(X_62)))),multiply(X_62,inverse(X_60))) ),[0],$fot(inverse(multiply(inverse(X_62),X_60)))]]) ).
cnf(refute_0_315,plain,
( multiply(multiply(X_0,inverse(X_0)),inverse(multiply(X_60,inverse(X_62)))) != multiply(X_62,inverse(X_60))
| inverse(multiply(inverse(X_62),X_60)) = multiply(X_62,inverse(X_60)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_0,inverse(X_0)),inverse(multiply(X_60,inverse(X_62)))),inverse(multiply(inverse(X_62),X_60))) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
inverse(multiply(inverse(X_62),X_60)) = multiply(X_62,inverse(X_60)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_0,inverse(X_0)),inverse(multiply(X_60,inverse(X_62)))),multiply(X_62,inverse(X_60))) )],[refute_0_272,refute_0_315]) ).
cnf(refute_0_317,plain,
inverse(multiply(inverse(Y),X_61)) = multiply(Y,inverse(X_61)),
inference(subst,[],[refute_0_316:[bind(X_60,$fot(X_61)),bind(X_62,$fot(Y))]]) ).
cnf(refute_0_318,plain,
multiply(X_62,inverse(multiply(inverse(Y),X_61))) = multiply(X_62,inverse(multiply(inverse(Y),X_61))),
introduced(tautology,[refl,[$fot(multiply(X_62,inverse(multiply(inverse(Y),X_61))))]]) ).
cnf(refute_0_319,plain,
( multiply(X_62,inverse(multiply(inverse(Y),X_61))) != multiply(X_62,inverse(multiply(inverse(Y),X_61)))
| inverse(multiply(inverse(Y),X_61)) != multiply(Y,inverse(X_61))
| multiply(X_62,inverse(multiply(inverse(Y),X_61))) = multiply(X_62,multiply(Y,inverse(X_61))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_62,inverse(multiply(inverse(Y),X_61))),multiply(X_62,inverse(multiply(inverse(Y),X_61)))) ),[1,1],$fot(multiply(Y,inverse(X_61)))]]) ).
cnf(refute_0_320,plain,
( inverse(multiply(inverse(Y),X_61)) != multiply(Y,inverse(X_61))
| multiply(X_62,inverse(multiply(inverse(Y),X_61))) = multiply(X_62,multiply(Y,inverse(X_61))) ),
inference(resolve,[$cnf( $equal(multiply(X_62,inverse(multiply(inverse(Y),X_61))),multiply(X_62,inverse(multiply(inverse(Y),X_61)))) )],[refute_0_318,refute_0_319]) ).
cnf(refute_0_321,plain,
multiply(X_62,inverse(multiply(inverse(Y),X_61))) = multiply(X_62,multiply(Y,inverse(X_61))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(Y),X_61)),multiply(Y,inverse(X_61))) )],[refute_0_317,refute_0_320]) ).
cnf(refute_0_322,plain,
multiply(X_61,multiply(X_62,inverse(multiply(inverse(Y),X_61)))) = multiply(X_61,multiply(X_62,inverse(multiply(inverse(Y),X_61)))),
introduced(tautology,[refl,[$fot(multiply(X_61,multiply(X_62,inverse(multiply(inverse(Y),X_61)))))]]) ).
cnf(refute_0_323,plain,
( multiply(X_61,multiply(X_62,inverse(multiply(inverse(Y),X_61)))) != multiply(X_61,multiply(X_62,inverse(multiply(inverse(Y),X_61))))
| multiply(X_62,inverse(multiply(inverse(Y),X_61))) != multiply(X_62,multiply(Y,inverse(X_61)))
| multiply(X_61,multiply(X_62,inverse(multiply(inverse(Y),X_61)))) = multiply(X_61,multiply(X_62,multiply(Y,inverse(X_61)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_61,multiply(X_62,inverse(multiply(inverse(Y),X_61)))),multiply(X_61,multiply(X_62,inverse(multiply(inverse(Y),X_61))))) ),[1,1],$fot(multiply(X_62,multiply(Y,inverse(X_61))))]]) ).
cnf(refute_0_324,plain,
( multiply(X_62,inverse(multiply(inverse(Y),X_61))) != multiply(X_62,multiply(Y,inverse(X_61)))
| multiply(X_61,multiply(X_62,inverse(multiply(inverse(Y),X_61)))) = multiply(X_61,multiply(X_62,multiply(Y,inverse(X_61)))) ),
inference(resolve,[$cnf( $equal(multiply(X_61,multiply(X_62,inverse(multiply(inverse(Y),X_61)))),multiply(X_61,multiply(X_62,inverse(multiply(inverse(Y),X_61))))) )],[refute_0_322,refute_0_323]) ).
cnf(refute_0_325,plain,
multiply(X_61,multiply(X_62,inverse(multiply(inverse(Y),X_61)))) = multiply(X_61,multiply(X_62,multiply(Y,inverse(X_61)))),
inference(resolve,[$cnf( $equal(multiply(X_62,inverse(multiply(inverse(Y),X_61))),multiply(X_62,multiply(Y,inverse(X_61)))) )],[refute_0_321,refute_0_324]) ).
cnf(refute_0_326,plain,
multiply(multiply(X_62,X_61),inverse(multiply(inverse(Y),X_61))) = multiply(X_61,multiply(X_62,inverse(multiply(inverse(Y),X_61)))),
inference(subst,[],[refute_0_300:[bind(Y,$fot(X_61)),bind(X_0,$fot(X_62)),bind(X_60,$fot(multiply(inverse(Y),X_61)))]]) ).
cnf(refute_0_327,plain,
( multiply(X_61,multiply(X_62,inverse(multiply(inverse(Y),X_61)))) != multiply(X_61,multiply(X_62,multiply(Y,inverse(X_61))))
| multiply(multiply(X_62,X_61),inverse(multiply(inverse(Y),X_61))) != multiply(X_61,multiply(X_62,inverse(multiply(inverse(Y),X_61))))
| multiply(multiply(X_62,X_61),inverse(multiply(inverse(Y),X_61))) = multiply(X_61,multiply(X_62,multiply(Y,inverse(X_61)))) ),
inference(subst,[],[refute_0_113:[bind(X0,$fot(multiply(multiply(X_62,X_61),inverse(multiply(inverse(Y),X_61))))),bind(Y0,$fot(multiply(X_61,multiply(X_62,inverse(multiply(inverse(Y),X_61)))))),bind(Z0,$fot(multiply(X_61,multiply(X_62,multiply(Y,inverse(X_61))))))]]) ).
cnf(refute_0_328,plain,
( multiply(X_61,multiply(X_62,inverse(multiply(inverse(Y),X_61)))) != multiply(X_61,multiply(X_62,multiply(Y,inverse(X_61))))
| multiply(multiply(X_62,X_61),inverse(multiply(inverse(Y),X_61))) = multiply(X_61,multiply(X_62,multiply(Y,inverse(X_61)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_62,X_61),inverse(multiply(inverse(Y),X_61))),multiply(X_61,multiply(X_62,inverse(multiply(inverse(Y),X_61))))) )],[refute_0_326,refute_0_327]) ).
cnf(refute_0_329,plain,
multiply(multiply(X_62,X_61),inverse(multiply(inverse(Y),X_61))) = multiply(X_61,multiply(X_62,multiply(Y,inverse(X_61)))),
inference(resolve,[$cnf( $equal(multiply(X_61,multiply(X_62,inverse(multiply(inverse(Y),X_61)))),multiply(X_61,multiply(X_62,multiply(Y,inverse(X_61))))) )],[refute_0_325,refute_0_328]) ).
cnf(refute_0_330,plain,
( multiply(multiply(X_62,X_61),inverse(multiply(inverse(Y),X_61))) != multiply(X_61,multiply(X_62,multiply(Y,inverse(X_61))))
| multiply(multiply(X_62,X_61),inverse(multiply(inverse(Y),X_61))) != multiply(X_62,Y)
| multiply(X_61,multiply(X_62,multiply(Y,inverse(X_61)))) = multiply(X_62,Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_62,X_61),inverse(multiply(inverse(Y),X_61))),multiply(X_62,Y)) ),[0],$fot(multiply(X_61,multiply(X_62,multiply(Y,inverse(X_61)))))]]) ).
cnf(refute_0_331,plain,
( multiply(multiply(X_62,X_61),inverse(multiply(inverse(Y),X_61))) != multiply(X_62,Y)
| multiply(X_61,multiply(X_62,multiply(Y,inverse(X_61)))) = multiply(X_62,Y) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_62,X_61),inverse(multiply(inverse(Y),X_61))),multiply(X_61,multiply(X_62,multiply(Y,inverse(X_61))))) )],[refute_0_329,refute_0_330]) ).
cnf(refute_0_332,plain,
multiply(X_61,multiply(X_62,multiply(Y,inverse(X_61)))) = multiply(X_62,Y),
inference(resolve,[$cnf( $equal(multiply(multiply(X_62,X_61),inverse(multiply(inverse(Y),X_61))),multiply(X_62,Y)) )],[refute_0_265,refute_0_331]) ).
cnf(refute_0_333,plain,
multiply(inverse(Y),multiply(X_100,multiply(X_98,inverse(inverse(Y))))) = multiply(X_100,X_98),
inference(subst,[],[refute_0_332:[bind(Y,$fot(X_98)),bind(X_61,$fot(inverse(Y))),bind(X_62,$fot(X_100))]]) ).
cnf(refute_0_334,plain,
( multiply(inverse(Y),multiply(X_100,multiply(X_98,inverse(inverse(Y))))) != multiply(X_100,X_98)
| inverse(inverse(Y)) != Y
| multiply(inverse(Y),multiply(X_100,multiply(X_98,Y))) = multiply(X_100,X_98) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(Y),multiply(X_100,multiply(X_98,inverse(inverse(Y))))),multiply(X_100,X_98)) ),[0,1,1,1],$fot(Y)]]) ).
cnf(refute_0_335,plain,
( multiply(inverse(Y),multiply(X_100,multiply(X_98,inverse(inverse(Y))))) != multiply(X_100,X_98)
| multiply(inverse(Y),multiply(X_100,multiply(X_98,Y))) = multiply(X_100,X_98) ),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_262,refute_0_334]) ).
cnf(refute_0_336,plain,
multiply(inverse(Y),multiply(X_100,multiply(X_98,Y))) = multiply(X_100,X_98),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),multiply(X_100,multiply(X_98,inverse(inverse(Y))))),multiply(X_100,X_98)) )],[refute_0_333,refute_0_335]) ).
cnf(refute_0_337,plain,
multiply(inverse(multiply(X_117,multiply(X_118,X_116))),multiply(X_100,multiply(inverse(X_116),multiply(X_117,multiply(X_118,X_116))))) = multiply(X_100,inverse(X_116)),
inference(subst,[],[refute_0_336:[bind(Y,$fot(multiply(X_117,multiply(X_118,X_116)))),bind(X_98,$fot(inverse(X_116)))]]) ).
cnf(refute_0_338,plain,
multiply(inverse(X_116),multiply(X_117,multiply(X_118,X_116))) = multiply(X_117,X_118),
inference(subst,[],[refute_0_336:[bind(Y,$fot(X_116)),bind(X_100,$fot(X_117)),bind(X_98,$fot(X_118))]]) ).
cnf(refute_0_339,plain,
( multiply(inverse(X_116),multiply(X_117,multiply(X_118,X_116))) != multiply(X_117,X_118)
| multiply(inverse(multiply(X_117,multiply(X_118,X_116))),multiply(X_100,multiply(inverse(X_116),multiply(X_117,multiply(X_118,X_116))))) != multiply(X_100,inverse(X_116))
| multiply(inverse(multiply(X_117,multiply(X_118,X_116))),multiply(X_100,multiply(X_117,X_118))) = multiply(X_100,inverse(X_116)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_117,multiply(X_118,X_116))),multiply(X_100,multiply(inverse(X_116),multiply(X_117,multiply(X_118,X_116))))),multiply(X_100,inverse(X_116))) ),[0,1,1],$fot(multiply(X_117,X_118))]]) ).
cnf(refute_0_340,plain,
( multiply(inverse(multiply(X_117,multiply(X_118,X_116))),multiply(X_100,multiply(inverse(X_116),multiply(X_117,multiply(X_118,X_116))))) != multiply(X_100,inverse(X_116))
| multiply(inverse(multiply(X_117,multiply(X_118,X_116))),multiply(X_100,multiply(X_117,X_118))) = multiply(X_100,inverse(X_116)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_116),multiply(X_117,multiply(X_118,X_116))),multiply(X_117,X_118)) )],[refute_0_338,refute_0_339]) ).
cnf(refute_0_341,plain,
multiply(inverse(multiply(X_117,multiply(X_118,X_116))),multiply(X_100,multiply(X_117,X_118))) = multiply(X_100,inverse(X_116)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_117,multiply(X_118,X_116))),multiply(X_100,multiply(inverse(X_116),multiply(X_117,multiply(X_118,X_116))))),multiply(X_100,inverse(X_116))) )],[refute_0_337,refute_0_340]) ).
cnf(refute_0_342,plain,
multiply(multiply(multiply(X_33,inverse(X_33)),X_61),inverse(multiply(X_60,X_61))) = multiply(multiply(X_33,inverse(X_33)),inverse(X_60)),
inference(subst,[],[refute_0_106:[bind(X,$fot(X_60)),bind(Z,$fot(X_61)),bind(X_3,$fot(multiply(X_33,inverse(X_33))))]]) ).
cnf(refute_0_343,plain,
multiply(multiply(inverse(inverse(inverse(X_33))),inverse(inverse(X_33))),X_39) = X_39,
inference(subst,[],[refute_0_250:[bind(Y,$fot(X_39)),bind(X_37,$fot(inverse(inverse(X_33))))]]) ).
cnf(refute_0_344,plain,
( multiply(multiply(inverse(inverse(inverse(X_33))),inverse(inverse(X_33))),X_39) != X_39
| inverse(inverse(inverse(X_33))) != inverse(X_33)
| multiply(multiply(inverse(X_33),inverse(inverse(X_33))),X_39) = X_39 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(inverse(inverse(X_33))),inverse(inverse(X_33))),X_39),X_39) ),[0,0,0],$fot(inverse(X_33))]]) ).
cnf(refute_0_345,plain,
( multiply(multiply(inverse(inverse(inverse(X_33))),inverse(inverse(X_33))),X_39) != X_39
| multiply(multiply(inverse(X_33),inverse(inverse(X_33))),X_39) = X_39 ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(X_33))),inverse(X_33)) )],[refute_0_233,refute_0_344]) ).
cnf(refute_0_346,plain,
multiply(multiply(inverse(X_33),inverse(inverse(X_33))),X_39) = X_39,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(inverse(X_33))),inverse(inverse(X_33))),X_39),X_39) )],[refute_0_343,refute_0_345]) ).
cnf(refute_0_347,plain,
inverse(multiply(X_33,inverse(X_33))) = multiply(X_33,inverse(X_33)),
inference(subst,[],[refute_0_57:[bind(X_0,$fot(X_33)),bind(X_3,$fot(X_33))]]) ).
cnf(refute_0_348,plain,
multiply(inverse(X_33),inverse(inverse(X_33))) = inverse(multiply(X_33,inverse(X_33))),
inference(subst,[],[refute_0_155:[bind(X_0,$fot(X_33)),bind(X_1,$fot(inverse(X_33)))]]) ).
cnf(refute_0_349,plain,
( multiply(inverse(X_33),inverse(inverse(X_33))) != inverse(multiply(X_33,inverse(X_33)))
| inverse(multiply(X_33,inverse(X_33))) != multiply(X_33,inverse(X_33))
| multiply(inverse(X_33),inverse(inverse(X_33))) = multiply(X_33,inverse(X_33)) ),
inference(subst,[],[refute_0_113:[bind(X0,$fot(multiply(inverse(X_33),inverse(inverse(X_33))))),bind(Y0,$fot(inverse(multiply(X_33,inverse(X_33))))),bind(Z0,$fot(multiply(X_33,inverse(X_33))))]]) ).
cnf(refute_0_350,plain,
( inverse(multiply(X_33,inverse(X_33))) != multiply(X_33,inverse(X_33))
| multiply(inverse(X_33),inverse(inverse(X_33))) = multiply(X_33,inverse(X_33)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_33),inverse(inverse(X_33))),inverse(multiply(X_33,inverse(X_33)))) )],[refute_0_348,refute_0_349]) ).
cnf(refute_0_351,plain,
multiply(inverse(X_33),inverse(inverse(X_33))) = multiply(X_33,inverse(X_33)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_33,inverse(X_33))),multiply(X_33,inverse(X_33))) )],[refute_0_347,refute_0_350]) ).
cnf(refute_0_352,plain,
multiply(multiply(inverse(X_33),inverse(inverse(X_33))),X_39) = multiply(multiply(inverse(X_33),inverse(inverse(X_33))),X_39),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(X_33),inverse(inverse(X_33))),X_39))]]) ).
cnf(refute_0_353,plain,
( multiply(multiply(inverse(X_33),inverse(inverse(X_33))),X_39) != multiply(multiply(inverse(X_33),inverse(inverse(X_33))),X_39)
| multiply(inverse(X_33),inverse(inverse(X_33))) != multiply(X_33,inverse(X_33))
| multiply(multiply(inverse(X_33),inverse(inverse(X_33))),X_39) = multiply(multiply(X_33,inverse(X_33)),X_39) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_33),inverse(inverse(X_33))),X_39),multiply(multiply(inverse(X_33),inverse(inverse(X_33))),X_39)) ),[1,0],$fot(multiply(X_33,inverse(X_33)))]]) ).
cnf(refute_0_354,plain,
( multiply(inverse(X_33),inverse(inverse(X_33))) != multiply(X_33,inverse(X_33))
| multiply(multiply(inverse(X_33),inverse(inverse(X_33))),X_39) = multiply(multiply(X_33,inverse(X_33)),X_39) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_33),inverse(inverse(X_33))),X_39),multiply(multiply(inverse(X_33),inverse(inverse(X_33))),X_39)) )],[refute_0_352,refute_0_353]) ).
cnf(refute_0_355,plain,
multiply(multiply(inverse(X_33),inverse(inverse(X_33))),X_39) = multiply(multiply(X_33,inverse(X_33)),X_39),
inference(resolve,[$cnf( $equal(multiply(inverse(X_33),inverse(inverse(X_33))),multiply(X_33,inverse(X_33))) )],[refute_0_351,refute_0_354]) ).
cnf(refute_0_356,plain,
( multiply(multiply(inverse(X_33),inverse(inverse(X_33))),X_39) != X_39
| multiply(multiply(inverse(X_33),inverse(inverse(X_33))),X_39) != multiply(multiply(X_33,inverse(X_33)),X_39)
| multiply(multiply(X_33,inverse(X_33)),X_39) = X_39 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_33),inverse(inverse(X_33))),X_39),X_39) ),[0],$fot(multiply(multiply(X_33,inverse(X_33)),X_39))]]) ).
cnf(refute_0_357,plain,
( multiply(multiply(inverse(X_33),inverse(inverse(X_33))),X_39) != X_39
| multiply(multiply(X_33,inverse(X_33)),X_39) = X_39 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_33),inverse(inverse(X_33))),X_39),multiply(multiply(X_33,inverse(X_33)),X_39)) )],[refute_0_355,refute_0_356]) ).
cnf(refute_0_358,plain,
multiply(multiply(X_33,inverse(X_33)),X_39) = X_39,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_33),inverse(inverse(X_33))),X_39),X_39) )],[refute_0_346,refute_0_357]) ).
cnf(refute_0_359,plain,
multiply(multiply(X_33,inverse(X_33)),X_61) = X_61,
inference(subst,[],[refute_0_358:[bind(X_39,$fot(X_61))]]) ).
cnf(refute_0_360,plain,
( multiply(multiply(X_33,inverse(X_33)),X_61) != X_61
| multiply(multiply(multiply(X_33,inverse(X_33)),X_61),inverse(multiply(X_60,X_61))) != multiply(multiply(X_33,inverse(X_33)),inverse(X_60))
| multiply(X_61,inverse(multiply(X_60,X_61))) = multiply(multiply(X_33,inverse(X_33)),inverse(X_60)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_33,inverse(X_33)),X_61),inverse(multiply(X_60,X_61))),multiply(multiply(X_33,inverse(X_33)),inverse(X_60))) ),[0,0],$fot(X_61)]]) ).
cnf(refute_0_361,plain,
( multiply(multiply(multiply(X_33,inverse(X_33)),X_61),inverse(multiply(X_60,X_61))) != multiply(multiply(X_33,inverse(X_33)),inverse(X_60))
| multiply(X_61,inverse(multiply(X_60,X_61))) = multiply(multiply(X_33,inverse(X_33)),inverse(X_60)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_33,inverse(X_33)),X_61),X_61) )],[refute_0_359,refute_0_360]) ).
cnf(refute_0_362,plain,
multiply(X_61,inverse(multiply(X_60,X_61))) = multiply(multiply(X_33,inverse(X_33)),inverse(X_60)),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_33,inverse(X_33)),X_61),inverse(multiply(X_60,X_61))),multiply(multiply(X_33,inverse(X_33)),inverse(X_60))) )],[refute_0_342,refute_0_361]) ).
cnf(refute_0_363,plain,
multiply(multiply(multiply(X_19,X_18),inverse(X_19)),inverse(multiply(X_19,X_18))) = inverse(X_19),
inference(subst,[],[refute_0_61:[bind(Y,$fot(inverse(X_19))),bind(X_0,$fot(multiply(X_19,X_18)))]]) ).
cnf(refute_0_364,plain,
multiply(multiply(X_19,X_18),inverse(X_19)) = X_18,
inference(subst,[],[refute_0_61:[bind(Y,$fot(X_18)),bind(X_0,$fot(X_19))]]) ).
cnf(refute_0_365,plain,
( multiply(multiply(X_19,X_18),inverse(X_19)) != X_18
| multiply(multiply(multiply(X_19,X_18),inverse(X_19)),inverse(multiply(X_19,X_18))) != inverse(X_19)
| multiply(X_18,inverse(multiply(X_19,X_18))) = inverse(X_19) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_19,X_18),inverse(X_19)),inverse(multiply(X_19,X_18))),inverse(X_19)) ),[0,0],$fot(X_18)]]) ).
cnf(refute_0_366,plain,
( multiply(multiply(multiply(X_19,X_18),inverse(X_19)),inverse(multiply(X_19,X_18))) != inverse(X_19)
| multiply(X_18,inverse(multiply(X_19,X_18))) = inverse(X_19) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_19,X_18),inverse(X_19)),X_18) )],[refute_0_364,refute_0_365]) ).
cnf(refute_0_367,plain,
multiply(X_18,inverse(multiply(X_19,X_18))) = inverse(X_19),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_19,X_18),inverse(X_19)),inverse(multiply(X_19,X_18))),inverse(X_19)) )],[refute_0_363,refute_0_366]) ).
cnf(refute_0_368,plain,
multiply(X_61,inverse(multiply(X_60,X_61))) = inverse(X_60),
inference(subst,[],[refute_0_367:[bind(X_18,$fot(X_61)),bind(X_19,$fot(X_60))]]) ).
cnf(refute_0_369,plain,
( multiply(X_61,inverse(multiply(X_60,X_61))) != multiply(multiply(X_33,inverse(X_33)),inverse(X_60))
| multiply(X_61,inverse(multiply(X_60,X_61))) != inverse(X_60)
| inverse(X_60) = multiply(multiply(X_33,inverse(X_33)),inverse(X_60)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_61,inverse(multiply(X_60,X_61))),multiply(multiply(X_33,inverse(X_33)),inverse(X_60))) ),[0],$fot(inverse(X_60))]]) ).
cnf(refute_0_370,plain,
( multiply(X_61,inverse(multiply(X_60,X_61))) != multiply(multiply(X_33,inverse(X_33)),inverse(X_60))
| inverse(X_60) = multiply(multiply(X_33,inverse(X_33)),inverse(X_60)) ),
inference(resolve,[$cnf( $equal(multiply(X_61,inverse(multiply(X_60,X_61))),inverse(X_60)) )],[refute_0_368,refute_0_369]) ).
cnf(refute_0_371,plain,
multiply(multiply(X_62,inverse(X_0)),inverse(multiply(multiply(X_0,Y),inverse(X_0)))) = multiply(X_62,inverse(multiply(X_0,Y))),
inference(subst,[],[refute_0_106:[bind(X,$fot(multiply(X_0,Y))),bind(Z,$fot(inverse(X_0))),bind(X_3,$fot(X_62))]]) ).
cnf(refute_0_372,plain,
( multiply(multiply(X_0,Y),inverse(X_0)) != Y
| multiply(multiply(X_62,inverse(X_0)),inverse(multiply(multiply(X_0,Y),inverse(X_0)))) != multiply(X_62,inverse(multiply(X_0,Y)))
| multiply(multiply(X_62,inverse(X_0)),inverse(Y)) = multiply(X_62,inverse(multiply(X_0,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_62,inverse(X_0)),inverse(multiply(multiply(X_0,Y),inverse(X_0)))),multiply(X_62,inverse(multiply(X_0,Y)))) ),[0,1,0],$fot(Y)]]) ).
cnf(refute_0_373,plain,
( multiply(multiply(X_62,inverse(X_0)),inverse(multiply(multiply(X_0,Y),inverse(X_0)))) != multiply(X_62,inverse(multiply(X_0,Y)))
| multiply(multiply(X_62,inverse(X_0)),inverse(Y)) = multiply(X_62,inverse(multiply(X_0,Y))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_0,Y),inverse(X_0)),Y) )],[refute_0_61,refute_0_372]) ).
cnf(refute_0_374,plain,
multiply(multiply(X_62,inverse(X_0)),inverse(Y)) = multiply(X_62,inverse(multiply(X_0,Y))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_62,inverse(X_0)),inverse(multiply(multiply(X_0,Y),inverse(X_0)))),multiply(X_62,inverse(multiply(X_0,Y)))) )],[refute_0_371,refute_0_373]) ).
cnf(refute_0_375,plain,
multiply(multiply(X_33,inverse(X_33)),inverse(X_60)) = multiply(X_33,inverse(multiply(X_33,X_60))),
inference(subst,[],[refute_0_374:[bind(Y,$fot(X_60)),bind(X_0,$fot(X_33)),bind(X_62,$fot(X_33))]]) ).
cnf(refute_0_376,plain,
( multiply(multiply(X_33,inverse(X_33)),inverse(X_60)) != multiply(X_33,inverse(multiply(X_33,X_60)))
| inverse(X_60) != multiply(multiply(X_33,inverse(X_33)),inverse(X_60))
| inverse(X_60) = multiply(X_33,inverse(multiply(X_33,X_60))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_60),multiply(multiply(X_33,inverse(X_33)),inverse(X_60))) ),[1],$fot(multiply(X_33,inverse(multiply(X_33,X_60))))]]) ).
cnf(refute_0_377,plain,
( inverse(X_60) != multiply(multiply(X_33,inverse(X_33)),inverse(X_60))
| inverse(X_60) = multiply(X_33,inverse(multiply(X_33,X_60))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_33,inverse(X_33)),inverse(X_60)),multiply(X_33,inverse(multiply(X_33,X_60)))) )],[refute_0_375,refute_0_376]) ).
cnf(refute_0_378,plain,
( multiply(X_61,inverse(multiply(X_60,X_61))) != multiply(multiply(X_33,inverse(X_33)),inverse(X_60))
| inverse(X_60) = multiply(X_33,inverse(multiply(X_33,X_60))) ),
inference(resolve,[$cnf( $equal(inverse(X_60),multiply(multiply(X_33,inverse(X_33)),inverse(X_60))) )],[refute_0_370,refute_0_377]) ).
cnf(refute_0_379,plain,
inverse(X_60) = multiply(X_33,inverse(multiply(X_33,X_60))),
inference(resolve,[$cnf( $equal(multiply(X_61,inverse(multiply(X_60,X_61))),multiply(multiply(X_33,inverse(X_33)),inverse(X_60))) )],[refute_0_362,refute_0_378]) ).
cnf(refute_0_380,plain,
inverse(inverse(multiply(multiply(X_101,X_33),X_103))) = multiply(X_33,inverse(multiply(X_33,inverse(multiply(multiply(X_101,X_33),X_103))))),
inference(subst,[],[refute_0_379:[bind(X_60,$fot(inverse(multiply(multiply(X_101,X_33),X_103))))]]) ).
cnf(refute_0_381,plain,
multiply(X_33,inverse(multiply(multiply(X_101,X_33),X_103))) = inverse(multiply(X_101,X_103)),
inference(subst,[],[refute_0_30:[bind(X,$fot(X_101)),bind(Y,$fot(X_33)),bind(Z,$fot(X_103))]]) ).
cnf(refute_0_382,plain,
( multiply(X_33,inverse(multiply(multiply(X_101,X_33),X_103))) != inverse(multiply(X_101,X_103))
| inverse(inverse(multiply(multiply(X_101,X_33),X_103))) != multiply(X_33,inverse(multiply(X_33,inverse(multiply(multiply(X_101,X_33),X_103)))))
| inverse(inverse(multiply(multiply(X_101,X_33),X_103))) = multiply(X_33,inverse(inverse(multiply(X_101,X_103)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(multiply(X_101,X_33),X_103))),multiply(X_33,inverse(multiply(X_33,inverse(multiply(multiply(X_101,X_33),X_103)))))) ),[1,1,0],$fot(inverse(multiply(X_101,X_103)))]]) ).
cnf(refute_0_383,plain,
( inverse(inverse(multiply(multiply(X_101,X_33),X_103))) != multiply(X_33,inverse(multiply(X_33,inverse(multiply(multiply(X_101,X_33),X_103)))))
| inverse(inverse(multiply(multiply(X_101,X_33),X_103))) = multiply(X_33,inverse(inverse(multiply(X_101,X_103)))) ),
inference(resolve,[$cnf( $equal(multiply(X_33,inverse(multiply(multiply(X_101,X_33),X_103))),inverse(multiply(X_101,X_103))) )],[refute_0_381,refute_0_382]) ).
cnf(refute_0_384,plain,
inverse(inverse(multiply(multiply(X_101,X_33),X_103))) = multiply(X_33,inverse(inverse(multiply(X_101,X_103)))),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(multiply(X_101,X_33),X_103))),multiply(X_33,inverse(multiply(X_33,inverse(multiply(multiply(X_101,X_33),X_103)))))) )],[refute_0_380,refute_0_383]) ).
cnf(refute_0_385,plain,
inverse(inverse(multiply(multiply(X_101,X_33),X_103))) = multiply(multiply(X_101,X_33),X_103),
inference(subst,[],[refute_0_262:[bind(Y,$fot(multiply(multiply(X_101,X_33),X_103)))]]) ).
cnf(refute_0_386,plain,
( inverse(inverse(multiply(multiply(X_101,X_33),X_103))) != multiply(X_33,inverse(inverse(multiply(X_101,X_103))))
| inverse(inverse(multiply(multiply(X_101,X_33),X_103))) != multiply(multiply(X_101,X_33),X_103)
| multiply(multiply(X_101,X_33),X_103) = multiply(X_33,inverse(inverse(multiply(X_101,X_103)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(multiply(X_101,X_33),X_103))),multiply(X_33,inverse(inverse(multiply(X_101,X_103))))) ),[0],$fot(multiply(multiply(X_101,X_33),X_103))]]) ).
cnf(refute_0_387,plain,
( inverse(inverse(multiply(multiply(X_101,X_33),X_103))) != multiply(X_33,inverse(inverse(multiply(X_101,X_103))))
| multiply(multiply(X_101,X_33),X_103) = multiply(X_33,inverse(inverse(multiply(X_101,X_103)))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(multiply(X_101,X_33),X_103))),multiply(multiply(X_101,X_33),X_103)) )],[refute_0_385,refute_0_386]) ).
cnf(refute_0_388,plain,
inverse(inverse(multiply(X_101,X_103))) = multiply(X_101,X_103),
inference(subst,[],[refute_0_262:[bind(Y,$fot(multiply(X_101,X_103)))]]) ).
cnf(refute_0_389,plain,
multiply(X_33,inverse(inverse(multiply(X_101,X_103)))) = multiply(X_33,inverse(inverse(multiply(X_101,X_103)))),
introduced(tautology,[refl,[$fot(multiply(X_33,inverse(inverse(multiply(X_101,X_103)))))]]) ).
cnf(refute_0_390,plain,
( multiply(X_33,inverse(inverse(multiply(X_101,X_103)))) != multiply(X_33,inverse(inverse(multiply(X_101,X_103))))
| inverse(inverse(multiply(X_101,X_103))) != multiply(X_101,X_103)
| multiply(X_33,inverse(inverse(multiply(X_101,X_103)))) = multiply(X_33,multiply(X_101,X_103)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_33,inverse(inverse(multiply(X_101,X_103)))),multiply(X_33,inverse(inverse(multiply(X_101,X_103))))) ),[1,1],$fot(multiply(X_101,X_103))]]) ).
cnf(refute_0_391,plain,
( inverse(inverse(multiply(X_101,X_103))) != multiply(X_101,X_103)
| multiply(X_33,inverse(inverse(multiply(X_101,X_103)))) = multiply(X_33,multiply(X_101,X_103)) ),
inference(resolve,[$cnf( $equal(multiply(X_33,inverse(inverse(multiply(X_101,X_103)))),multiply(X_33,inverse(inverse(multiply(X_101,X_103))))) )],[refute_0_389,refute_0_390]) ).
cnf(refute_0_392,plain,
multiply(X_33,inverse(inverse(multiply(X_101,X_103)))) = multiply(X_33,multiply(X_101,X_103)),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_101,X_103))),multiply(X_101,X_103)) )],[refute_0_388,refute_0_391]) ).
cnf(refute_0_393,plain,
( multiply(X_33,inverse(inverse(multiply(X_101,X_103)))) != multiply(X_33,multiply(X_101,X_103))
| multiply(multiply(X_101,X_33),X_103) != multiply(X_33,inverse(inverse(multiply(X_101,X_103))))
| multiply(multiply(X_101,X_33),X_103) = multiply(X_33,multiply(X_101,X_103)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_101,X_33),X_103),multiply(X_33,inverse(inverse(multiply(X_101,X_103))))) ),[1],$fot(multiply(X_33,multiply(X_101,X_103)))]]) ).
cnf(refute_0_394,plain,
( multiply(multiply(X_101,X_33),X_103) != multiply(X_33,inverse(inverse(multiply(X_101,X_103))))
| multiply(multiply(X_101,X_33),X_103) = multiply(X_33,multiply(X_101,X_103)) ),
inference(resolve,[$cnf( $equal(multiply(X_33,inverse(inverse(multiply(X_101,X_103)))),multiply(X_33,multiply(X_101,X_103))) )],[refute_0_392,refute_0_393]) ).
cnf(refute_0_395,plain,
( inverse(inverse(multiply(multiply(X_101,X_33),X_103))) != multiply(X_33,inverse(inverse(multiply(X_101,X_103))))
| multiply(multiply(X_101,X_33),X_103) = multiply(X_33,multiply(X_101,X_103)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_101,X_33),X_103),multiply(X_33,inverse(inverse(multiply(X_101,X_103))))) )],[refute_0_387,refute_0_394]) ).
cnf(refute_0_396,plain,
multiply(multiply(X_101,X_33),X_103) = multiply(X_33,multiply(X_101,X_103)),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(multiply(X_101,X_33),X_103))),multiply(X_33,inverse(inverse(multiply(X_101,X_103))))) )],[refute_0_384,refute_0_395]) ).
cnf(refute_0_397,plain,
multiply(multiply(X_117,X_118),multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100)) = multiply(X_118,multiply(X_117,multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100))),
inference(subst,[],[refute_0_396:[bind(X_101,$fot(X_117)),bind(X_103,$fot(multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100))),bind(X_33,$fot(X_118))]]) ).
cnf(refute_0_398,plain,
multiply(X_102,inverse(multiply(multiply(X_101,X_102),inverse(multiply(multiply(X,multiply(X_101,X_102)),Z))))) = inverse(multiply(X_101,inverse(multiply(multiply(X,multiply(X_101,X_102)),Z)))),
inference(subst,[],[refute_0_30:[bind(X,$fot(X_101)),bind(Y,$fot(X_102)),bind(Z,$fot(inverse(multiply(multiply(X,multiply(X_101,X_102)),Z))))]]) ).
cnf(refute_0_399,plain,
multiply(multiply(X_101,X_102),inverse(multiply(multiply(X,multiply(X_101,X_102)),Z))) = inverse(multiply(X,Z)),
inference(subst,[],[refute_0_30:[bind(Y,$fot(multiply(X_101,X_102)))]]) ).
cnf(refute_0_400,plain,
( multiply(X_102,inverse(multiply(multiply(X_101,X_102),inverse(multiply(multiply(X,multiply(X_101,X_102)),Z))))) != inverse(multiply(X_101,inverse(multiply(multiply(X,multiply(X_101,X_102)),Z))))
| multiply(multiply(X_101,X_102),inverse(multiply(multiply(X,multiply(X_101,X_102)),Z))) != inverse(multiply(X,Z))
| multiply(X_102,inverse(inverse(multiply(X,Z)))) = inverse(multiply(X_101,inverse(multiply(multiply(X,multiply(X_101,X_102)),Z)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_102,inverse(multiply(multiply(X_101,X_102),inverse(multiply(multiply(X,multiply(X_101,X_102)),Z))))),inverse(multiply(X_101,inverse(multiply(multiply(X,multiply(X_101,X_102)),Z))))) ),[0,1,0],$fot(inverse(multiply(X,Z)))]]) ).
cnf(refute_0_401,plain,
( multiply(X_102,inverse(multiply(multiply(X_101,X_102),inverse(multiply(multiply(X,multiply(X_101,X_102)),Z))))) != inverse(multiply(X_101,inverse(multiply(multiply(X,multiply(X_101,X_102)),Z))))
| multiply(X_102,inverse(inverse(multiply(X,Z)))) = inverse(multiply(X_101,inverse(multiply(multiply(X,multiply(X_101,X_102)),Z)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_101,X_102),inverse(multiply(multiply(X,multiply(X_101,X_102)),Z))),inverse(multiply(X,Z))) )],[refute_0_399,refute_0_400]) ).
cnf(refute_0_402,plain,
multiply(X_102,inverse(inverse(multiply(X,Z)))) = inverse(multiply(X_101,inverse(multiply(multiply(X,multiply(X_101,X_102)),Z)))),
inference(resolve,[$cnf( $equal(multiply(X_102,inverse(multiply(multiply(X_101,X_102),inverse(multiply(multiply(X,multiply(X_101,X_102)),Z))))),inverse(multiply(X_101,inverse(multiply(multiply(X,multiply(X_101,X_102)),Z))))) )],[refute_0_398,refute_0_401]) ).
cnf(refute_0_403,plain,
inverse(inverse(multiply(X,Z))) = multiply(X,Z),
inference(subst,[],[refute_0_262:[bind(Y,$fot(multiply(X,Z)))]]) ).
cnf(refute_0_404,plain,
multiply(X_102,inverse(inverse(multiply(X,Z)))) = multiply(X_102,inverse(inverse(multiply(X,Z)))),
introduced(tautology,[refl,[$fot(multiply(X_102,inverse(inverse(multiply(X,Z)))))]]) ).
cnf(refute_0_405,plain,
( multiply(X_102,inverse(inverse(multiply(X,Z)))) != multiply(X_102,inverse(inverse(multiply(X,Z))))
| inverse(inverse(multiply(X,Z))) != multiply(X,Z)
| multiply(X_102,inverse(inverse(multiply(X,Z)))) = multiply(X_102,multiply(X,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_102,inverse(inverse(multiply(X,Z)))),multiply(X_102,inverse(inverse(multiply(X,Z))))) ),[1,1],$fot(multiply(X,Z))]]) ).
cnf(refute_0_406,plain,
( inverse(inverse(multiply(X,Z))) != multiply(X,Z)
| multiply(X_102,inverse(inverse(multiply(X,Z)))) = multiply(X_102,multiply(X,Z)) ),
inference(resolve,[$cnf( $equal(multiply(X_102,inverse(inverse(multiply(X,Z)))),multiply(X_102,inverse(inverse(multiply(X,Z))))) )],[refute_0_404,refute_0_405]) ).
cnf(refute_0_407,plain,
multiply(X_102,inverse(inverse(multiply(X,Z)))) = multiply(X_102,multiply(X,Z)),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X,Z))),multiply(X,Z)) )],[refute_0_403,refute_0_406]) ).
cnf(refute_0_408,plain,
( multiply(X_102,inverse(inverse(multiply(X,Z)))) != multiply(X_102,multiply(X,Z))
| multiply(X_102,inverse(inverse(multiply(X,Z)))) != inverse(multiply(X_101,inverse(multiply(multiply(X,multiply(X_101,X_102)),Z))))
| multiply(X_102,multiply(X,Z)) = inverse(multiply(X_101,inverse(multiply(multiply(X,multiply(X_101,X_102)),Z)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_102,inverse(inverse(multiply(X,Z)))),inverse(multiply(X_101,inverse(multiply(multiply(X,multiply(X_101,X_102)),Z))))) ),[0],$fot(multiply(X_102,multiply(X,Z)))]]) ).
cnf(refute_0_409,plain,
( multiply(X_102,inverse(inverse(multiply(X,Z)))) != inverse(multiply(X_101,inverse(multiply(multiply(X,multiply(X_101,X_102)),Z))))
| multiply(X_102,multiply(X,Z)) = inverse(multiply(X_101,inverse(multiply(multiply(X,multiply(X_101,X_102)),Z)))) ),
inference(resolve,[$cnf( $equal(multiply(X_102,inverse(inverse(multiply(X,Z)))),multiply(X_102,multiply(X,Z))) )],[refute_0_407,refute_0_408]) ).
cnf(refute_0_410,plain,
multiply(multiply(X_1,Z),inverse(multiply(multiply(multiply(X_0,X_1),inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))),Z))) = inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)))),
inference(subst,[],[refute_0_9:[bind(X_2,$fot(inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))))]]) ).
cnf(refute_0_411,plain,
multiply(multiply(X_0,X_1),inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))) = inverse(multiply(X_7,X_9)),
inference(subst,[],[refute_0_9:[bind(Z,$fot(X_1)),bind(X_0,$fot(X_7)),bind(X_1,$fot(X_0)),bind(X_2,$fot(X_9))]]) ).
cnf(refute_0_412,plain,
( multiply(multiply(X_0,X_1),inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))) != inverse(multiply(X_7,X_9))
| multiply(multiply(X_1,Z),inverse(multiply(multiply(multiply(X_0,X_1),inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))),Z))) != inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))))
| multiply(multiply(X_1,Z),inverse(multiply(inverse(multiply(X_7,X_9)),Z))) = inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_1,Z),inverse(multiply(multiply(multiply(X_0,X_1),inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))),Z))),inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))))) ),[0,1,0,0],$fot(inverse(multiply(X_7,X_9)))]]) ).
cnf(refute_0_413,plain,
( multiply(multiply(X_1,Z),inverse(multiply(multiply(multiply(X_0,X_1),inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))),Z))) != inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))))
| multiply(multiply(X_1,Z),inverse(multiply(inverse(multiply(X_7,X_9)),Z))) = inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_0,X_1),inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))),inverse(multiply(X_7,X_9))) )],[refute_0_411,refute_0_412]) ).
cnf(refute_0_414,plain,
multiply(multiply(X_1,Z),inverse(multiply(inverse(multiply(X_7,X_9)),Z))) = inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_1,Z),inverse(multiply(multiply(multiply(X_0,X_1),inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))),Z))),inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))))) )],[refute_0_410,refute_0_413]) ).
cnf(refute_0_415,plain,
multiply(multiply(X_1,Z),inverse(multiply(inverse(multiply(X_7,X_9)),Z))) = multiply(X_1,inverse(inverse(multiply(X_7,X_9)))),
inference(subst,[],[refute_0_106:[bind(X,$fot(inverse(multiply(X_7,X_9)))),bind(X_3,$fot(X_1))]]) ).
cnf(refute_0_416,plain,
( multiply(multiply(X_1,Z),inverse(multiply(inverse(multiply(X_7,X_9)),Z))) != multiply(X_1,inverse(inverse(multiply(X_7,X_9))))
| multiply(multiply(X_1,Z),inverse(multiply(inverse(multiply(X_7,X_9)),Z))) != inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))))
| multiply(X_1,inverse(inverse(multiply(X_7,X_9)))) = inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_1,Z),inverse(multiply(inverse(multiply(X_7,X_9)),Z))),inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))))) ),[0],$fot(multiply(X_1,inverse(inverse(multiply(X_7,X_9)))))]]) ).
cnf(refute_0_417,plain,
( multiply(multiply(X_1,Z),inverse(multiply(inverse(multiply(X_7,X_9)),Z))) != inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))))
| multiply(X_1,inverse(inverse(multiply(X_7,X_9)))) = inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_1,Z),inverse(multiply(inverse(multiply(X_7,X_9)),Z))),multiply(X_1,inverse(inverse(multiply(X_7,X_9))))) )],[refute_0_415,refute_0_416]) ).
cnf(refute_0_418,plain,
inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)))) = multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0)),
inference(subst,[],[refute_0_57:[bind(X_3,$fot(multiply(multiply(multiply(X_7,X_0),X_9),X_1)))]]) ).
cnf(refute_0_419,plain,
( multiply(X_1,inverse(inverse(multiply(X_7,X_9)))) != inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))))
| inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)))) != multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0))
| multiply(X_1,inverse(inverse(multiply(X_7,X_9)))) = multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_1,inverse(inverse(multiply(X_7,X_9)))),multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0))) ),[0],$fot(inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)))))]]) ).
cnf(refute_0_420,plain,
( multiply(X_1,inverse(inverse(multiply(X_7,X_9)))) != inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))))
| multiply(X_1,inverse(inverse(multiply(X_7,X_9)))) = multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1)))),multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0))) )],[refute_0_418,refute_0_419]) ).
cnf(refute_0_421,plain,
( multiply(multiply(X_1,Z),inverse(multiply(inverse(multiply(X_7,X_9)),Z))) != inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))))
| multiply(X_1,inverse(inverse(multiply(X_7,X_9)))) = multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0)) ),
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(inverse(multiply(X_7,X_9)))),inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))))) )],[refute_0_417,refute_0_420]) ).
cnf(refute_0_422,plain,
multiply(X_1,inverse(inverse(multiply(X_7,X_9)))) = multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_1,Z),inverse(multiply(inverse(multiply(X_7,X_9)),Z))),inverse(multiply(X_0,inverse(multiply(multiply(multiply(X_7,X_0),X_9),X_1))))) )],[refute_0_414,refute_0_421]) ).
cnf(refute_0_423,plain,
inverse(inverse(multiply(X_7,X_9))) = multiply(X_7,X_9),
inference(subst,[],[refute_0_262:[bind(Y,$fot(multiply(X_7,X_9)))]]) ).
cnf(refute_0_424,plain,
multiply(X_1,inverse(inverse(multiply(X_7,X_9)))) = multiply(X_1,inverse(inverse(multiply(X_7,X_9)))),
introduced(tautology,[refl,[$fot(multiply(X_1,inverse(inverse(multiply(X_7,X_9)))))]]) ).
cnf(refute_0_425,plain,
( multiply(X_1,inverse(inverse(multiply(X_7,X_9)))) != multiply(X_1,inverse(inverse(multiply(X_7,X_9))))
| inverse(inverse(multiply(X_7,X_9))) != multiply(X_7,X_9)
| multiply(X_1,inverse(inverse(multiply(X_7,X_9)))) = multiply(X_1,multiply(X_7,X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_1,inverse(inverse(multiply(X_7,X_9)))),multiply(X_1,inverse(inverse(multiply(X_7,X_9))))) ),[1,1],$fot(multiply(X_7,X_9))]]) ).
cnf(refute_0_426,plain,
( inverse(inverse(multiply(X_7,X_9))) != multiply(X_7,X_9)
| multiply(X_1,inverse(inverse(multiply(X_7,X_9)))) = multiply(X_1,multiply(X_7,X_9)) ),
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(inverse(multiply(X_7,X_9)))),multiply(X_1,inverse(inverse(multiply(X_7,X_9))))) )],[refute_0_424,refute_0_425]) ).
cnf(refute_0_427,plain,
multiply(X_1,inverse(inverse(multiply(X_7,X_9)))) = multiply(X_1,multiply(X_7,X_9)),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_7,X_9))),multiply(X_7,X_9)) )],[refute_0_423,refute_0_426]) ).
cnf(refute_0_428,plain,
( multiply(X_1,inverse(inverse(multiply(X_7,X_9)))) != multiply(X_1,multiply(X_7,X_9))
| multiply(X_1,inverse(inverse(multiply(X_7,X_9)))) != multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0))
| multiply(X_1,multiply(X_7,X_9)) = multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_1,inverse(inverse(multiply(X_7,X_9)))),multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0))) ),[0],$fot(multiply(X_1,multiply(X_7,X_9)))]]) ).
cnf(refute_0_429,plain,
( multiply(X_1,inverse(inverse(multiply(X_7,X_9)))) != multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0))
| multiply(X_1,multiply(X_7,X_9)) = multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0)) ),
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(inverse(multiply(X_7,X_9)))),multiply(X_1,multiply(X_7,X_9))) )],[refute_0_427,refute_0_428]) ).
cnf(refute_0_430,plain,
multiply(X_1,multiply(X_7,X_9)) = multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0)),
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(inverse(multiply(X_7,X_9)))),multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0))) )],[refute_0_422,refute_0_429]) ).
cnf(refute_0_431,plain,
multiply(X_0,multiply(X_7,inverse(X_0))) = X_7,
inference(subst,[],[refute_0_130:[bind(Y,$fot(X_7)),bind(X_3,$fot(X_0))]]) ).
cnf(refute_0_432,plain,
multiply(multiply(X_7,X_0),inverse(X_0)) = multiply(X_0,multiply(X_7,inverse(X_0))),
inference(subst,[],[refute_0_300:[bind(Y,$fot(X_0)),bind(X_0,$fot(X_7)),bind(X_60,$fot(X_0))]]) ).
cnf(refute_0_433,plain,
( multiply(X_0,multiply(X_7,inverse(X_0))) != X_7
| multiply(multiply(X_7,X_0),inverse(X_0)) != multiply(X_0,multiply(X_7,inverse(X_0)))
| multiply(multiply(X_7,X_0),inverse(X_0)) = X_7 ),
inference(subst,[],[refute_0_113:[bind(X0,$fot(multiply(multiply(X_7,X_0),inverse(X_0)))),bind(Y0,$fot(multiply(X_0,multiply(X_7,inverse(X_0))))),bind(Z0,$fot(X_7))]]) ).
cnf(refute_0_434,plain,
( multiply(X_0,multiply(X_7,inverse(X_0))) != X_7
| multiply(multiply(X_7,X_0),inverse(X_0)) = X_7 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_7,X_0),inverse(X_0)),multiply(X_0,multiply(X_7,inverse(X_0)))) )],[refute_0_432,refute_0_433]) ).
cnf(refute_0_435,plain,
multiply(multiply(X_7,X_0),inverse(X_0)) = X_7,
inference(resolve,[$cnf( $equal(multiply(X_0,multiply(X_7,inverse(X_0))),X_7) )],[refute_0_431,refute_0_434]) ).
cnf(refute_0_436,plain,
multiply(X_9,multiply(multiply(X_7,X_0),inverse(X_0))) = multiply(X_9,multiply(multiply(X_7,X_0),inverse(X_0))),
introduced(tautology,[refl,[$fot(multiply(X_9,multiply(multiply(X_7,X_0),inverse(X_0))))]]) ).
cnf(refute_0_437,plain,
( multiply(X_9,multiply(multiply(X_7,X_0),inverse(X_0))) != multiply(X_9,multiply(multiply(X_7,X_0),inverse(X_0)))
| multiply(multiply(X_7,X_0),inverse(X_0)) != X_7
| multiply(X_9,multiply(multiply(X_7,X_0),inverse(X_0))) = multiply(X_9,X_7) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_9,multiply(multiply(X_7,X_0),inverse(X_0))),multiply(X_9,multiply(multiply(X_7,X_0),inverse(X_0)))) ),[1,1],$fot(X_7)]]) ).
cnf(refute_0_438,plain,
( multiply(multiply(X_7,X_0),inverse(X_0)) != X_7
| multiply(X_9,multiply(multiply(X_7,X_0),inverse(X_0))) = multiply(X_9,X_7) ),
inference(resolve,[$cnf( $equal(multiply(X_9,multiply(multiply(X_7,X_0),inverse(X_0))),multiply(X_9,multiply(multiply(X_7,X_0),inverse(X_0)))) )],[refute_0_436,refute_0_437]) ).
cnf(refute_0_439,plain,
multiply(X_9,multiply(multiply(X_7,X_0),inverse(X_0))) = multiply(X_9,X_7),
inference(resolve,[$cnf( $equal(multiply(multiply(X_7,X_0),inverse(X_0)),X_7) )],[refute_0_435,refute_0_438]) ).
cnf(refute_0_440,plain,
multiply(multiply(multiply(X_7,X_0),X_9),inverse(X_0)) = multiply(X_9,multiply(multiply(X_7,X_0),inverse(X_0))),
inference(subst,[],[refute_0_300:[bind(Y,$fot(X_9)),bind(X_0,$fot(multiply(X_7,X_0))),bind(X_60,$fot(X_0))]]) ).
cnf(refute_0_441,plain,
( multiply(X_9,multiply(multiply(X_7,X_0),inverse(X_0))) != multiply(X_9,X_7)
| multiply(multiply(multiply(X_7,X_0),X_9),inverse(X_0)) != multiply(X_9,multiply(multiply(X_7,X_0),inverse(X_0)))
| multiply(multiply(multiply(X_7,X_0),X_9),inverse(X_0)) = multiply(X_9,X_7) ),
inference(subst,[],[refute_0_113:[bind(X0,$fot(multiply(multiply(multiply(X_7,X_0),X_9),inverse(X_0)))),bind(Y0,$fot(multiply(X_9,multiply(multiply(X_7,X_0),inverse(X_0))))),bind(Z0,$fot(multiply(X_9,X_7)))]]) ).
cnf(refute_0_442,plain,
( multiply(X_9,multiply(multiply(X_7,X_0),inverse(X_0))) != multiply(X_9,X_7)
| multiply(multiply(multiply(X_7,X_0),X_9),inverse(X_0)) = multiply(X_9,X_7) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_7,X_0),X_9),inverse(X_0)),multiply(X_9,multiply(multiply(X_7,X_0),inverse(X_0)))) )],[refute_0_440,refute_0_441]) ).
cnf(refute_0_443,plain,
multiply(multiply(multiply(X_7,X_0),X_9),inverse(X_0)) = multiply(X_9,X_7),
inference(resolve,[$cnf( $equal(multiply(X_9,multiply(multiply(X_7,X_0),inverse(X_0))),multiply(X_9,X_7)) )],[refute_0_439,refute_0_442]) ).
cnf(refute_0_444,plain,
multiply(X_1,multiply(multiply(multiply(X_7,X_0),X_9),inverse(X_0))) = multiply(X_1,multiply(multiply(multiply(X_7,X_0),X_9),inverse(X_0))),
introduced(tautology,[refl,[$fot(multiply(X_1,multiply(multiply(multiply(X_7,X_0),X_9),inverse(X_0))))]]) ).
cnf(refute_0_445,plain,
( multiply(X_1,multiply(multiply(multiply(X_7,X_0),X_9),inverse(X_0))) != multiply(X_1,multiply(multiply(multiply(X_7,X_0),X_9),inverse(X_0)))
| multiply(multiply(multiply(X_7,X_0),X_9),inverse(X_0)) != multiply(X_9,X_7)
| multiply(X_1,multiply(multiply(multiply(X_7,X_0),X_9),inverse(X_0))) = multiply(X_1,multiply(X_9,X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_1,multiply(multiply(multiply(X_7,X_0),X_9),inverse(X_0))),multiply(X_1,multiply(multiply(multiply(X_7,X_0),X_9),inverse(X_0)))) ),[1,1],$fot(multiply(X_9,X_7))]]) ).
cnf(refute_0_446,plain,
( multiply(multiply(multiply(X_7,X_0),X_9),inverse(X_0)) != multiply(X_9,X_7)
| multiply(X_1,multiply(multiply(multiply(X_7,X_0),X_9),inverse(X_0))) = multiply(X_1,multiply(X_9,X_7)) ),
inference(resolve,[$cnf( $equal(multiply(X_1,multiply(multiply(multiply(X_7,X_0),X_9),inverse(X_0))),multiply(X_1,multiply(multiply(multiply(X_7,X_0),X_9),inverse(X_0)))) )],[refute_0_444,refute_0_445]) ).
cnf(refute_0_447,plain,
multiply(X_1,multiply(multiply(multiply(X_7,X_0),X_9),inverse(X_0))) = multiply(X_1,multiply(X_9,X_7)),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_7,X_0),X_9),inverse(X_0)),multiply(X_9,X_7)) )],[refute_0_443,refute_0_446]) ).
cnf(refute_0_448,plain,
multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0)) = multiply(X_1,multiply(multiply(multiply(X_7,X_0),X_9),inverse(X_0))),
inference(subst,[],[refute_0_300:[bind(Y,$fot(X_1)),bind(X_0,$fot(multiply(multiply(X_7,X_0),X_9))),bind(X_60,$fot(X_0))]]) ).
cnf(refute_0_449,plain,
( multiply(X_1,multiply(multiply(multiply(X_7,X_0),X_9),inverse(X_0))) != multiply(X_1,multiply(X_9,X_7))
| multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0)) != multiply(X_1,multiply(multiply(multiply(X_7,X_0),X_9),inverse(X_0)))
| multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0)) = multiply(X_1,multiply(X_9,X_7)) ),
inference(subst,[],[refute_0_113:[bind(X0,$fot(multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0)))),bind(Y0,$fot(multiply(X_1,multiply(multiply(multiply(X_7,X_0),X_9),inverse(X_0))))),bind(Z0,$fot(multiply(X_1,multiply(X_9,X_7))))]]) ).
cnf(refute_0_450,plain,
( multiply(X_1,multiply(multiply(multiply(X_7,X_0),X_9),inverse(X_0))) != multiply(X_1,multiply(X_9,X_7))
| multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0)) = multiply(X_1,multiply(X_9,X_7)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0)),multiply(X_1,multiply(multiply(multiply(X_7,X_0),X_9),inverse(X_0)))) )],[refute_0_448,refute_0_449]) ).
cnf(refute_0_451,plain,
multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0)) = multiply(X_1,multiply(X_9,X_7)),
inference(resolve,[$cnf( $equal(multiply(X_1,multiply(multiply(multiply(X_7,X_0),X_9),inverse(X_0))),multiply(X_1,multiply(X_9,X_7))) )],[refute_0_447,refute_0_450]) ).
cnf(refute_0_452,plain,
( multiply(X_1,multiply(X_7,X_9)) != multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0))
| multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0)) != multiply(X_1,multiply(X_9,X_7))
| multiply(X_1,multiply(X_7,X_9)) = multiply(X_1,multiply(X_9,X_7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_1,multiply(X_7,X_9)),multiply(X_1,multiply(X_9,X_7))) ),[0],$fot(multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0)))]]) ).
cnf(refute_0_453,plain,
( multiply(X_1,multiply(X_7,X_9)) != multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0))
| multiply(X_1,multiply(X_7,X_9)) = multiply(X_1,multiply(X_9,X_7)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0)),multiply(X_1,multiply(X_9,X_7))) )],[refute_0_451,refute_0_452]) ).
cnf(refute_0_454,plain,
multiply(X_1,multiply(X_7,X_9)) = multiply(X_1,multiply(X_9,X_7)),
inference(resolve,[$cnf( $equal(multiply(X_1,multiply(X_7,X_9)),multiply(multiply(multiply(multiply(X_7,X_0),X_9),X_1),inverse(X_0))) )],[refute_0_430,refute_0_453]) ).
cnf(refute_0_455,plain,
( multiply(X_1,multiply(X_7,X_9)) != multiply(X_1,multiply(X_9,X_7))
| multiply(X_1,multiply(X_9,X_7)) = multiply(X_1,multiply(X_7,X_9)) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(multiply(X_1,multiply(X_7,X_9)))),bind(Y0,$fot(multiply(X_1,multiply(X_9,X_7))))]]) ).
cnf(refute_0_456,plain,
multiply(X_1,multiply(X_9,X_7)) = multiply(X_1,multiply(X_7,X_9)),
inference(resolve,[$cnf( $equal(multiply(X_1,multiply(X_7,X_9)),multiply(X_1,multiply(X_9,X_7))) )],[refute_0_454,refute_0_455]) ).
cnf(refute_0_457,plain,
multiply(Z,multiply(multiply(X,multiply(X_101,X_102)),inverse(X_101))) = multiply(Z,multiply(inverse(X_101),multiply(X,multiply(X_101,X_102)))),
inference(subst,[],[refute_0_456:[bind(X_1,$fot(Z)),bind(X_7,$fot(inverse(X_101))),bind(X_9,$fot(multiply(X,multiply(X_101,X_102))))]]) ).
cnf(refute_0_458,plain,
multiply(multiply(multiply(X,multiply(X_101,X_102)),Z),inverse(X_101)) = multiply(Z,multiply(multiply(X,multiply(X_101,X_102)),inverse(X_101))),
inference(subst,[],[refute_0_396:[bind(X_101,$fot(multiply(X,multiply(X_101,X_102)))),bind(X_103,$fot(inverse(X_101))),bind(X_33,$fot(Z))]]) ).
cnf(refute_0_459,plain,
( multiply(Z,multiply(multiply(X,multiply(X_101,X_102)),inverse(X_101))) != multiply(Z,multiply(inverse(X_101),multiply(X,multiply(X_101,X_102))))
| multiply(multiply(multiply(X,multiply(X_101,X_102)),Z),inverse(X_101)) != multiply(Z,multiply(multiply(X,multiply(X_101,X_102)),inverse(X_101)))
| multiply(multiply(multiply(X,multiply(X_101,X_102)),Z),inverse(X_101)) = multiply(Z,multiply(inverse(X_101),multiply(X,multiply(X_101,X_102)))) ),
inference(subst,[],[refute_0_113:[bind(X0,$fot(multiply(multiply(multiply(X,multiply(X_101,X_102)),Z),inverse(X_101)))),bind(Y0,$fot(multiply(Z,multiply(multiply(X,multiply(X_101,X_102)),inverse(X_101))))),bind(Z0,$fot(multiply(Z,multiply(inverse(X_101),multiply(X,multiply(X_101,X_102))))))]]) ).
cnf(refute_0_460,plain,
( multiply(Z,multiply(multiply(X,multiply(X_101,X_102)),inverse(X_101))) != multiply(Z,multiply(inverse(X_101),multiply(X,multiply(X_101,X_102))))
| multiply(multiply(multiply(X,multiply(X_101,X_102)),Z),inverse(X_101)) = multiply(Z,multiply(inverse(X_101),multiply(X,multiply(X_101,X_102)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X,multiply(X_101,X_102)),Z),inverse(X_101)),multiply(Z,multiply(multiply(X,multiply(X_101,X_102)),inverse(X_101)))) )],[refute_0_458,refute_0_459]) ).
cnf(refute_0_461,plain,
multiply(multiply(multiply(X,multiply(X_101,X_102)),Z),inverse(X_101)) = multiply(Z,multiply(inverse(X_101),multiply(X,multiply(X_101,X_102)))),
inference(resolve,[$cnf( $equal(multiply(Z,multiply(multiply(X,multiply(X_101,X_102)),inverse(X_101))),multiply(Z,multiply(inverse(X_101),multiply(X,multiply(X_101,X_102))))) )],[refute_0_457,refute_0_460]) ).
cnf(refute_0_462,plain,
inverse(multiply(X_101,inverse(multiply(multiply(X,multiply(X_101,X_102)),Z)))) = multiply(multiply(multiply(X,multiply(X_101,X_102)),Z),inverse(X_101)),
inference(subst,[],[refute_0_57:[bind(X_0,$fot(X_101)),bind(X_3,$fot(multiply(multiply(X,multiply(X_101,X_102)),Z)))]]) ).
cnf(refute_0_463,plain,
( multiply(multiply(multiply(X,multiply(X_101,X_102)),Z),inverse(X_101)) != multiply(Z,multiply(inverse(X_101),multiply(X,multiply(X_101,X_102))))
| inverse(multiply(X_101,inverse(multiply(multiply(X,multiply(X_101,X_102)),Z)))) != multiply(multiply(multiply(X,multiply(X_101,X_102)),Z),inverse(X_101))
| inverse(multiply(X_101,inverse(multiply(multiply(X,multiply(X_101,X_102)),Z)))) = multiply(Z,multiply(inverse(X_101),multiply(X,multiply(X_101,X_102)))) ),
inference(subst,[],[refute_0_113:[bind(X0,$fot(inverse(multiply(X_101,inverse(multiply(multiply(X,multiply(X_101,X_102)),Z)))))),bind(Y0,$fot(multiply(multiply(multiply(X,multiply(X_101,X_102)),Z),inverse(X_101)))),bind(Z0,$fot(multiply(Z,multiply(inverse(X_101),multiply(X,multiply(X_101,X_102))))))]]) ).
cnf(refute_0_464,plain,
( multiply(multiply(multiply(X,multiply(X_101,X_102)),Z),inverse(X_101)) != multiply(Z,multiply(inverse(X_101),multiply(X,multiply(X_101,X_102))))
| inverse(multiply(X_101,inverse(multiply(multiply(X,multiply(X_101,X_102)),Z)))) = multiply(Z,multiply(inverse(X_101),multiply(X,multiply(X_101,X_102)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_101,inverse(multiply(multiply(X,multiply(X_101,X_102)),Z)))),multiply(multiply(multiply(X,multiply(X_101,X_102)),Z),inverse(X_101))) )],[refute_0_462,refute_0_463]) ).
cnf(refute_0_465,plain,
inverse(multiply(X_101,inverse(multiply(multiply(X,multiply(X_101,X_102)),Z)))) = multiply(Z,multiply(inverse(X_101),multiply(X,multiply(X_101,X_102)))),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X,multiply(X_101,X_102)),Z),inverse(X_101)),multiply(Z,multiply(inverse(X_101),multiply(X,multiply(X_101,X_102))))) )],[refute_0_461,refute_0_464]) ).
cnf(refute_0_466,plain,
( multiply(X_102,multiply(X,Z)) != inverse(multiply(X_101,inverse(multiply(multiply(X,multiply(X_101,X_102)),Z))))
| inverse(multiply(X_101,inverse(multiply(multiply(X,multiply(X_101,X_102)),Z)))) != multiply(Z,multiply(inverse(X_101),multiply(X,multiply(X_101,X_102))))
| multiply(X_102,multiply(X,Z)) = multiply(Z,multiply(inverse(X_101),multiply(X,multiply(X_101,X_102)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_102,multiply(X,Z)),multiply(Z,multiply(inverse(X_101),multiply(X,multiply(X_101,X_102))))) ),[0],$fot(inverse(multiply(X_101,inverse(multiply(multiply(X,multiply(X_101,X_102)),Z)))))]]) ).
cnf(refute_0_467,plain,
( multiply(X_102,multiply(X,Z)) != inverse(multiply(X_101,inverse(multiply(multiply(X,multiply(X_101,X_102)),Z))))
| multiply(X_102,multiply(X,Z)) = multiply(Z,multiply(inverse(X_101),multiply(X,multiply(X_101,X_102)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_101,inverse(multiply(multiply(X,multiply(X_101,X_102)),Z)))),multiply(Z,multiply(inverse(X_101),multiply(X,multiply(X_101,X_102))))) )],[refute_0_465,refute_0_466]) ).
cnf(refute_0_468,plain,
( multiply(X_102,inverse(inverse(multiply(X,Z)))) != inverse(multiply(X_101,inverse(multiply(multiply(X,multiply(X_101,X_102)),Z))))
| multiply(X_102,multiply(X,Z)) = multiply(Z,multiply(inverse(X_101),multiply(X,multiply(X_101,X_102)))) ),
inference(resolve,[$cnf( $equal(multiply(X_102,multiply(X,Z)),inverse(multiply(X_101,inverse(multiply(multiply(X,multiply(X_101,X_102)),Z))))) )],[refute_0_409,refute_0_467]) ).
cnf(refute_0_469,plain,
multiply(X_102,multiply(X,Z)) = multiply(Z,multiply(inverse(X_101),multiply(X,multiply(X_101,X_102)))),
inference(resolve,[$cnf( $equal(multiply(X_102,inverse(inverse(multiply(X,Z)))),inverse(multiply(X_101,inverse(multiply(multiply(X,multiply(X_101,X_102)),Z))))) )],[refute_0_402,refute_0_468]) ).
cnf(refute_0_470,plain,
multiply(X_99,multiply(X_100,multiply(X_98,inverse(X_99)))) = multiply(X_100,X_98),
inference(subst,[],[refute_0_332:[bind(Y,$fot(X_98)),bind(X_61,$fot(X_99)),bind(X_62,$fot(X_100))]]) ).
cnf(refute_0_471,plain,
inverse(inverse(multiply(X_71,X_72))) = multiply(X_71,X_72),
inference(subst,[],[refute_0_262:[bind(Y,$fot(multiply(X_71,X_72)))]]) ).
cnf(refute_0_472,plain,
multiply(multiply(inverse(X_37),X_37),inverse(multiply(X_60,X_37))) = inverse(multiply(X_60,X_37)),
inference(subst,[],[refute_0_250:[bind(Y,$fot(inverse(multiply(X_60,X_37))))]]) ).
cnf(refute_0_473,plain,
multiply(multiply(inverse(X_37),X_37),inverse(multiply(X_60,X_37))) = multiply(inverse(X_37),inverse(X_60)),
inference(subst,[],[refute_0_106:[bind(X,$fot(X_60)),bind(Z,$fot(X_37)),bind(X_3,$fot(inverse(X_37)))]]) ).
cnf(refute_0_474,plain,
( multiply(multiply(inverse(X_37),X_37),inverse(multiply(X_60,X_37))) != multiply(inverse(X_37),inverse(X_60))
| multiply(multiply(inverse(X_37),X_37),inverse(multiply(X_60,X_37))) != inverse(multiply(X_60,X_37))
| multiply(inverse(X_37),inverse(X_60)) = inverse(multiply(X_60,X_37)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_37),X_37),inverse(multiply(X_60,X_37))),inverse(multiply(X_60,X_37))) ),[0],$fot(multiply(inverse(X_37),inverse(X_60)))]]) ).
cnf(refute_0_475,plain,
( multiply(multiply(inverse(X_37),X_37),inverse(multiply(X_60,X_37))) != inverse(multiply(X_60,X_37))
| multiply(inverse(X_37),inverse(X_60)) = inverse(multiply(X_60,X_37)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_37),X_37),inverse(multiply(X_60,X_37))),multiply(inverse(X_37),inverse(X_60))) )],[refute_0_473,refute_0_474]) ).
cnf(refute_0_476,plain,
multiply(inverse(X_37),inverse(X_60)) = inverse(multiply(X_60,X_37)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_37),X_37),inverse(multiply(X_60,X_37))),inverse(multiply(X_60,X_37))) )],[refute_0_472,refute_0_475]) ).
cnf(refute_0_477,plain,
multiply(inverse(X_37),inverse(X_60)) = inverse(multiply(X_37,X_60)),
inference(subst,[],[refute_0_155:[bind(X_0,$fot(X_37)),bind(X_1,$fot(X_60))]]) ).
cnf(refute_0_478,plain,
( multiply(inverse(X_37),inverse(X_60)) != inverse(multiply(X_37,X_60))
| multiply(inverse(X_37),inverse(X_60)) != inverse(multiply(X_60,X_37))
| inverse(multiply(X_37,X_60)) = inverse(multiply(X_60,X_37)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_37),inverse(X_60)),inverse(multiply(X_60,X_37))) ),[0],$fot(inverse(multiply(X_37,X_60)))]]) ).
cnf(refute_0_479,plain,
( multiply(inverse(X_37),inverse(X_60)) != inverse(multiply(X_60,X_37))
| inverse(multiply(X_37,X_60)) = inverse(multiply(X_60,X_37)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_37),inverse(X_60)),inverse(multiply(X_37,X_60))) )],[refute_0_477,refute_0_478]) ).
cnf(refute_0_480,plain,
inverse(multiply(X_37,X_60)) = inverse(multiply(X_60,X_37)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_37),inverse(X_60)),inverse(multiply(X_60,X_37))) )],[refute_0_476,refute_0_479]) ).
cnf(refute_0_481,plain,
inverse(multiply(X_71,X_72)) = inverse(multiply(X_72,X_71)),
inference(subst,[],[refute_0_480:[bind(X_37,$fot(X_71)),bind(X_60,$fot(X_72))]]) ).
cnf(refute_0_482,plain,
( inverse(multiply(X_71,X_72)) != inverse(multiply(X_72,X_71))
| inverse(inverse(multiply(X_71,X_72))) != multiply(X_71,X_72)
| inverse(inverse(multiply(X_72,X_71))) = multiply(X_71,X_72) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(X_71,X_72))),multiply(X_71,X_72)) ),[0,0],$fot(inverse(multiply(X_72,X_71)))]]) ).
cnf(refute_0_483,plain,
( inverse(inverse(multiply(X_71,X_72))) != multiply(X_71,X_72)
| inverse(inverse(multiply(X_72,X_71))) = multiply(X_71,X_72) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_71,X_72)),inverse(multiply(X_72,X_71))) )],[refute_0_481,refute_0_482]) ).
cnf(refute_0_484,plain,
inverse(inverse(multiply(X_72,X_71))) = multiply(X_71,X_72),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_71,X_72))),multiply(X_71,X_72)) )],[refute_0_471,refute_0_483]) ).
cnf(refute_0_485,plain,
inverse(inverse(multiply(X_72,X_71))) = multiply(X_72,X_71),
inference(subst,[],[refute_0_262:[bind(Y,$fot(multiply(X_72,X_71)))]]) ).
cnf(refute_0_486,plain,
( inverse(inverse(multiply(X_72,X_71))) != multiply(X_71,X_72)
| inverse(inverse(multiply(X_72,X_71))) != multiply(X_72,X_71)
| multiply(X_72,X_71) = multiply(X_71,X_72) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(X_72,X_71))),multiply(X_71,X_72)) ),[0],$fot(multiply(X_72,X_71))]]) ).
cnf(refute_0_487,plain,
( inverse(inverse(multiply(X_72,X_71))) != multiply(X_71,X_72)
| multiply(X_72,X_71) = multiply(X_71,X_72) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_72,X_71))),multiply(X_72,X_71)) )],[refute_0_485,refute_0_486]) ).
cnf(refute_0_488,plain,
multiply(X_72,X_71) = multiply(X_71,X_72),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_72,X_71))),multiply(X_71,X_72)) )],[refute_0_484,refute_0_487]) ).
cnf(refute_0_489,plain,
multiply(inverse(X_99),X_98) = multiply(X_98,inverse(X_99)),
inference(subst,[],[refute_0_488:[bind(X_71,$fot(X_98)),bind(X_72,$fot(inverse(X_99)))]]) ).
cnf(refute_0_490,plain,
( multiply(inverse(X_99),X_98) != multiply(X_98,inverse(X_99))
| multiply(X_98,inverse(X_99)) = multiply(inverse(X_99),X_98) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(multiply(inverse(X_99),X_98))),bind(Y0,$fot(multiply(X_98,inverse(X_99))))]]) ).
cnf(refute_0_491,plain,
multiply(X_98,inverse(X_99)) = multiply(inverse(X_99),X_98),
inference(resolve,[$cnf( $equal(multiply(inverse(X_99),X_98),multiply(X_98,inverse(X_99))) )],[refute_0_489,refute_0_490]) ).
cnf(refute_0_492,plain,
( multiply(X_98,inverse(X_99)) != multiply(inverse(X_99),X_98)
| multiply(X_99,multiply(X_100,multiply(X_98,inverse(X_99)))) != multiply(X_100,X_98)
| multiply(X_99,multiply(X_100,multiply(inverse(X_99),X_98))) = multiply(X_100,X_98) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_99,multiply(X_100,multiply(X_98,inverse(X_99)))),multiply(X_100,X_98)) ),[0,1,1],$fot(multiply(inverse(X_99),X_98))]]) ).
cnf(refute_0_493,plain,
( multiply(X_99,multiply(X_100,multiply(X_98,inverse(X_99)))) != multiply(X_100,X_98)
| multiply(X_99,multiply(X_100,multiply(inverse(X_99),X_98))) = multiply(X_100,X_98) ),
inference(resolve,[$cnf( $equal(multiply(X_98,inverse(X_99)),multiply(inverse(X_99),X_98)) )],[refute_0_491,refute_0_492]) ).
cnf(refute_0_494,plain,
multiply(X_99,multiply(X_100,multiply(inverse(X_99),X_98))) = multiply(X_100,X_98),
inference(resolve,[$cnf( $equal(multiply(X_99,multiply(X_100,multiply(X_98,inverse(X_99)))),multiply(X_100,X_98)) )],[refute_0_470,refute_0_493]) ).
cnf(refute_0_495,plain,
multiply(X_101,multiply(X_102,multiply(inverse(X_101),X))) = multiply(X_102,X),
inference(subst,[],[refute_0_494:[bind(X_100,$fot(X_102)),bind(X_98,$fot(X)),bind(X_99,$fot(X_101))]]) ).
cnf(refute_0_496,plain,
multiply(inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3)))),inverse(multiply(multiply(X_0,inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))),inverse(multiply(X_0,Y))))) = Y,
inference(subst,[],[refute_0_4:[bind(X_1,$fot(inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))))]]) ).
cnf(refute_0_497,plain,
( multiply(X_0,inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))) != X_3
| multiply(inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3)))),inverse(multiply(multiply(X_0,inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))),inverse(multiply(X_0,Y))))) != Y
| multiply(inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3)))),inverse(multiply(X_3,inverse(multiply(X_0,Y))))) = Y ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3)))),inverse(multiply(multiply(X_0,inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))),inverse(multiply(X_0,Y))))),Y) ),[0,1,0,0],$fot(X_3)]]) ).
cnf(refute_0_498,plain,
( multiply(inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3)))),inverse(multiply(multiply(X_0,inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))),inverse(multiply(X_0,Y))))) != Y
| multiply(inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3)))),inverse(multiply(X_3,inverse(multiply(X_0,Y))))) = Y ),
inference(resolve,[$cnf( $equal(multiply(X_0,inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))),X_3) )],[refute_0_36,refute_0_497]) ).
cnf(refute_0_499,plain,
multiply(inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3)))),inverse(multiply(X_3,inverse(multiply(X_0,Y))))) = Y,
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3)))),inverse(multiply(multiply(X_0,inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))),inverse(multiply(X_0,Y))))),Y) )],[refute_0_496,refute_0_498]) ).
cnf(refute_0_500,plain,
multiply(multiply(multiply(X_1,Z),inverse(multiply(multiply(multiply(X_0,X_1),X_2),Z))),inverse(multiply(X_1,Z))) = inverse(multiply(multiply(multiply(X_0,X_1),X_2),Z)),
inference(subst,[],[refute_0_26:[bind(X_1,$fot(multiply(X_1,Z))),bind(X_12,$fot(multiply(multiply(multiply(X_0,X_1),X_2),Z)))]]) ).
cnf(refute_0_501,plain,
( multiply(multiply(X_1,Z),inverse(multiply(multiply(multiply(X_0,X_1),X_2),Z))) != inverse(multiply(X_0,X_2))
| multiply(multiply(multiply(X_1,Z),inverse(multiply(multiply(multiply(X_0,X_1),X_2),Z))),inverse(multiply(X_1,Z))) != inverse(multiply(multiply(multiply(X_0,X_1),X_2),Z))
| multiply(inverse(multiply(X_0,X_2)),inverse(multiply(X_1,Z))) = inverse(multiply(multiply(multiply(X_0,X_1),X_2),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_1,Z),inverse(multiply(multiply(multiply(X_0,X_1),X_2),Z))),inverse(multiply(X_1,Z))),inverse(multiply(multiply(multiply(X_0,X_1),X_2),Z))) ),[0,0],$fot(inverse(multiply(X_0,X_2)))]]) ).
cnf(refute_0_502,plain,
( multiply(multiply(multiply(X_1,Z),inverse(multiply(multiply(multiply(X_0,X_1),X_2),Z))),inverse(multiply(X_1,Z))) != inverse(multiply(multiply(multiply(X_0,X_1),X_2),Z))
| multiply(inverse(multiply(X_0,X_2)),inverse(multiply(X_1,Z))) = inverse(multiply(multiply(multiply(X_0,X_1),X_2),Z)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_1,Z),inverse(multiply(multiply(multiply(X_0,X_1),X_2),Z))),inverse(multiply(X_0,X_2))) )],[refute_0_9,refute_0_501]) ).
cnf(refute_0_503,plain,
multiply(inverse(multiply(X_0,X_2)),inverse(multiply(X_1,Z))) = inverse(multiply(multiply(multiply(X_0,X_1),X_2),Z)),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_1,Z),inverse(multiply(multiply(multiply(X_0,X_1),X_2),Z))),inverse(multiply(X_1,Z))),inverse(multiply(multiply(multiply(X_0,X_1),X_2),Z))) )],[refute_0_500,refute_0_502]) ).
cnf(refute_0_504,plain,
multiply(inverse(multiply(X_0,X_2)),inverse(multiply(X_1,Z))) = inverse(multiply(multiply(X_0,X_2),multiply(X_1,Z))),
inference(subst,[],[refute_0_155:[bind(X_0,$fot(multiply(X_0,X_2))),bind(X_1,$fot(multiply(X_1,Z)))]]) ).
cnf(refute_0_505,plain,
( multiply(inverse(multiply(X_0,X_2)),inverse(multiply(X_1,Z))) != inverse(multiply(multiply(X_0,X_2),multiply(X_1,Z)))
| multiply(inverse(multiply(X_0,X_2)),inverse(multiply(X_1,Z))) != inverse(multiply(multiply(multiply(X_0,X_1),X_2),Z))
| inverse(multiply(multiply(X_0,X_2),multiply(X_1,Z))) = inverse(multiply(multiply(multiply(X_0,X_1),X_2),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_0,X_2)),inverse(multiply(X_1,Z))),inverse(multiply(multiply(multiply(X_0,X_1),X_2),Z))) ),[0],$fot(inverse(multiply(multiply(X_0,X_2),multiply(X_1,Z))))]]) ).
cnf(refute_0_506,plain,
( multiply(inverse(multiply(X_0,X_2)),inverse(multiply(X_1,Z))) != inverse(multiply(multiply(multiply(X_0,X_1),X_2),Z))
| inverse(multiply(multiply(X_0,X_2),multiply(X_1,Z))) = inverse(multiply(multiply(multiply(X_0,X_1),X_2),Z)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_0,X_2)),inverse(multiply(X_1,Z))),inverse(multiply(multiply(X_0,X_2),multiply(X_1,Z)))) )],[refute_0_504,refute_0_505]) ).
cnf(refute_0_507,plain,
inverse(multiply(multiply(X_0,X_2),multiply(X_1,Z))) = inverse(multiply(multiply(multiply(X_0,X_1),X_2),Z)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_0,X_2)),inverse(multiply(X_1,Z))),inverse(multiply(multiply(multiply(X_0,X_1),X_2),Z))) )],[refute_0_503,refute_0_506]) ).
cnf(refute_0_508,plain,
( inverse(multiply(multiply(X_0,X_2),multiply(X_1,Z))) != inverse(multiply(multiply(multiply(X_0,X_1),X_2),Z))
| inverse(multiply(multiply(multiply(X_0,X_1),X_2),Z)) = inverse(multiply(multiply(X_0,X_2),multiply(X_1,Z))) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(inverse(multiply(multiply(X_0,X_2),multiply(X_1,Z))))),bind(Y0,$fot(inverse(multiply(multiply(multiply(X_0,X_1),X_2),Z))))]]) ).
cnf(refute_0_509,plain,
inverse(multiply(multiply(multiply(X_0,X_1),X_2),Z)) = inverse(multiply(multiply(X_0,X_2),multiply(X_1,Z))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_0,X_2),multiply(X_1,Z))),inverse(multiply(multiply(multiply(X_0,X_1),X_2),Z))) )],[refute_0_507,refute_0_508]) ).
cnf(refute_0_510,plain,
inverse(multiply(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))),multiply(X_3,inverse(multiply(X_0,Y))))) = inverse(multiply(multiply(X_4,inverse(multiply(X_4,X_3))),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))),
inference(subst,[],[refute_0_509:[bind(Z,$fot(multiply(X_3,inverse(multiply(X_0,Y))))),bind(X_0,$fot(X_4)),bind(X_1,$fot(X_0)),bind(X_2,$fot(inverse(multiply(X_4,X_3))))]]) ).
cnf(refute_0_511,plain,
multiply(inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3)))),inverse(multiply(X_3,inverse(multiply(X_0,Y))))) = inverse(multiply(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))),multiply(X_3,inverse(multiply(X_0,Y))))),
inference(subst,[],[refute_0_155:[bind(X_0,$fot(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))))),bind(X_1,$fot(multiply(X_3,inverse(multiply(X_0,Y)))))]]) ).
cnf(refute_0_512,plain,
( multiply(inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3)))),inverse(multiply(X_3,inverse(multiply(X_0,Y))))) != inverse(multiply(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))),multiply(X_3,inverse(multiply(X_0,Y)))))
| inverse(multiply(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))),multiply(X_3,inverse(multiply(X_0,Y))))) != inverse(multiply(multiply(X_4,inverse(multiply(X_4,X_3))),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))
| multiply(inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3)))),inverse(multiply(X_3,inverse(multiply(X_0,Y))))) = inverse(multiply(multiply(X_4,inverse(multiply(X_4,X_3))),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))) ),
inference(subst,[],[refute_0_113:[bind(X0,$fot(multiply(inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3)))),inverse(multiply(X_3,inverse(multiply(X_0,Y))))))),bind(Y0,$fot(inverse(multiply(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))),multiply(X_3,inverse(multiply(X_0,Y))))))),bind(Z0,$fot(inverse(multiply(multiply(X_4,inverse(multiply(X_4,X_3))),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))))]]) ).
cnf(refute_0_513,plain,
( inverse(multiply(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))),multiply(X_3,inverse(multiply(X_0,Y))))) != inverse(multiply(multiply(X_4,inverse(multiply(X_4,X_3))),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))
| multiply(inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3)))),inverse(multiply(X_3,inverse(multiply(X_0,Y))))) = inverse(multiply(multiply(X_4,inverse(multiply(X_4,X_3))),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3)))),inverse(multiply(X_3,inverse(multiply(X_0,Y))))),inverse(multiply(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))),multiply(X_3,inverse(multiply(X_0,Y)))))) )],[refute_0_511,refute_0_512]) ).
cnf(refute_0_514,plain,
multiply(inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3)))),inverse(multiply(X_3,inverse(multiply(X_0,Y))))) = inverse(multiply(multiply(X_4,inverse(multiply(X_4,X_3))),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3))),multiply(X_3,inverse(multiply(X_0,Y))))),inverse(multiply(multiply(X_4,inverse(multiply(X_4,X_3))),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))) )],[refute_0_510,refute_0_513]) ).
cnf(refute_0_515,plain,
( multiply(inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3)))),inverse(multiply(X_3,inverse(multiply(X_0,Y))))) != Y
| multiply(inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3)))),inverse(multiply(X_3,inverse(multiply(X_0,Y))))) != inverse(multiply(multiply(X_4,inverse(multiply(X_4,X_3))),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))
| inverse(multiply(multiply(X_4,inverse(multiply(X_4,X_3))),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))) = Y ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3)))),inverse(multiply(X_3,inverse(multiply(X_0,Y))))),Y) ),[0],$fot(inverse(multiply(multiply(X_4,inverse(multiply(X_4,X_3))),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))))]]) ).
cnf(refute_0_516,plain,
( multiply(inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3)))),inverse(multiply(X_3,inverse(multiply(X_0,Y))))) != Y
| inverse(multiply(multiply(X_4,inverse(multiply(X_4,X_3))),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))) = Y ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3)))),inverse(multiply(X_3,inverse(multiply(X_0,Y))))),inverse(multiply(multiply(X_4,inverse(multiply(X_4,X_3))),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))) )],[refute_0_514,refute_0_515]) ).
cnf(refute_0_517,plain,
inverse(multiply(multiply(X_4,inverse(multiply(X_4,X_3))),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))) = Y,
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_4,X_0),inverse(multiply(X_4,X_3)))),inverse(multiply(X_3,inverse(multiply(X_0,Y))))),Y) )],[refute_0_499,refute_0_516]) ).
cnf(refute_0_518,plain,
inverse(multiply(multiply(X_4,inverse(multiply(X_4,X_3))),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))) = inverse(multiply(X_4,multiply(inverse(multiply(X_4,X_3)),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))),
inference(subst,[],[refute_0_206:[bind(X_14,$fot(X_4)),bind(X_15,$fot(multiply(X_4,X_3))),bind(X_2,$fot(multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))]]) ).
cnf(refute_0_519,plain,
( inverse(multiply(multiply(X_4,inverse(multiply(X_4,X_3))),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))) != Y
| inverse(multiply(multiply(X_4,inverse(multiply(X_4,X_3))),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))) != inverse(multiply(X_4,multiply(inverse(multiply(X_4,X_3)),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))))
| inverse(multiply(X_4,multiply(inverse(multiply(X_4,X_3)),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))) = Y ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_4,inverse(multiply(X_4,X_3))),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))),Y) ),[0],$fot(inverse(multiply(X_4,multiply(inverse(multiply(X_4,X_3)),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))))]]) ).
cnf(refute_0_520,plain,
( inverse(multiply(multiply(X_4,inverse(multiply(X_4,X_3))),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))) != Y
| inverse(multiply(X_4,multiply(inverse(multiply(X_4,X_3)),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))) = Y ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_4,inverse(multiply(X_4,X_3))),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))),inverse(multiply(X_4,multiply(inverse(multiply(X_4,X_3)),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))))) )],[refute_0_518,refute_0_519]) ).
cnf(refute_0_521,plain,
inverse(multiply(X_4,multiply(inverse(multiply(X_4,X_3)),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))) = Y,
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_4,inverse(multiply(X_4,X_3))),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))),Y) )],[refute_0_517,refute_0_520]) ).
cnf(refute_0_522,plain,
inverse(inverse(multiply(inverse(X_66),X_65))) = multiply(inverse(X_66),X_65),
inference(subst,[],[refute_0_262:[bind(Y,$fot(multiply(inverse(X_66),X_65)))]]) ).
cnf(refute_0_523,plain,
inverse(multiply(inverse(X_66),X_65)) = multiply(X_66,inverse(X_65)),
inference(subst,[],[refute_0_316:[bind(X_60,$fot(X_65)),bind(X_62,$fot(X_66))]]) ).
cnf(refute_0_524,plain,
( inverse(multiply(inverse(X_66),X_65)) != multiply(X_66,inverse(X_65))
| inverse(inverse(multiply(inverse(X_66),X_65))) != multiply(inverse(X_66),X_65)
| inverse(multiply(X_66,inverse(X_65))) = multiply(inverse(X_66),X_65) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(inverse(X_66),X_65))),multiply(inverse(X_66),X_65)) ),[0,0],$fot(multiply(X_66,inverse(X_65)))]]) ).
cnf(refute_0_525,plain,
( inverse(inverse(multiply(inverse(X_66),X_65))) != multiply(inverse(X_66),X_65)
| inverse(multiply(X_66,inverse(X_65))) = multiply(inverse(X_66),X_65) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_66),X_65)),multiply(X_66,inverse(X_65))) )],[refute_0_523,refute_0_524]) ).
cnf(refute_0_526,plain,
inverse(multiply(X_66,inverse(X_65))) = multiply(inverse(X_66),X_65),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(X_66),X_65))),multiply(inverse(X_66),X_65)) )],[refute_0_522,refute_0_525]) ).
cnf(refute_0_527,plain,
inverse(multiply(X_66,inverse(X_65))) = multiply(X_65,inverse(X_66)),
inference(subst,[],[refute_0_57:[bind(X_0,$fot(X_66)),bind(X_3,$fot(X_65))]]) ).
cnf(refute_0_528,plain,
( inverse(multiply(X_66,inverse(X_65))) != multiply(X_65,inverse(X_66))
| inverse(multiply(X_66,inverse(X_65))) != multiply(inverse(X_66),X_65)
| multiply(X_65,inverse(X_66)) = multiply(inverse(X_66),X_65) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_66,inverse(X_65))),multiply(inverse(X_66),X_65)) ),[0],$fot(multiply(X_65,inverse(X_66)))]]) ).
cnf(refute_0_529,plain,
( inverse(multiply(X_66,inverse(X_65))) != multiply(inverse(X_66),X_65)
| multiply(X_65,inverse(X_66)) = multiply(inverse(X_66),X_65) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_66,inverse(X_65))),multiply(X_65,inverse(X_66))) )],[refute_0_527,refute_0_528]) ).
cnf(refute_0_530,plain,
multiply(X_65,inverse(X_66)) = multiply(inverse(X_66),X_65),
inference(resolve,[$cnf( $equal(inverse(multiply(X_66,inverse(X_65))),multiply(inverse(X_66),X_65)) )],[refute_0_526,refute_0_529]) ).
cnf(refute_0_531,plain,
multiply(multiply(X_0,Y),inverse(X_0)) = multiply(inverse(X_0),multiply(X_0,Y)),
inference(subst,[],[refute_0_530:[bind(X_65,$fot(multiply(X_0,Y))),bind(X_66,$fot(X_0))]]) ).
cnf(refute_0_532,plain,
multiply(multiply(X_62,multiply(Y,inverse(X_62))),inverse(multiply(X_60,multiply(Y,inverse(X_62))))) = multiply(X_62,inverse(X_60)),
inference(subst,[],[refute_0_106:[bind(X,$fot(X_60)),bind(Z,$fot(multiply(Y,inverse(X_62)))),bind(X_3,$fot(X_62))]]) ).
cnf(refute_0_533,plain,
multiply(X_62,multiply(Y,inverse(X_62))) = Y,
inference(subst,[],[refute_0_130:[bind(X_3,$fot(X_62))]]) ).
cnf(refute_0_534,plain,
( multiply(X_62,multiply(Y,inverse(X_62))) != Y
| multiply(multiply(X_62,multiply(Y,inverse(X_62))),inverse(multiply(X_60,multiply(Y,inverse(X_62))))) != multiply(X_62,inverse(X_60))
| multiply(Y,inverse(multiply(X_60,multiply(Y,inverse(X_62))))) = multiply(X_62,inverse(X_60)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_62,multiply(Y,inverse(X_62))),inverse(multiply(X_60,multiply(Y,inverse(X_62))))),multiply(X_62,inverse(X_60))) ),[0,0],$fot(Y)]]) ).
cnf(refute_0_535,plain,
( multiply(multiply(X_62,multiply(Y,inverse(X_62))),inverse(multiply(X_60,multiply(Y,inverse(X_62))))) != multiply(X_62,inverse(X_60))
| multiply(Y,inverse(multiply(X_60,multiply(Y,inverse(X_62))))) = multiply(X_62,inverse(X_60)) ),
inference(resolve,[$cnf( $equal(multiply(X_62,multiply(Y,inverse(X_62))),Y) )],[refute_0_533,refute_0_534]) ).
cnf(refute_0_536,plain,
multiply(Y,inverse(multiply(X_60,multiply(Y,inverse(X_62))))) = multiply(X_62,inverse(X_60)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_62,multiply(Y,inverse(X_62))),inverse(multiply(X_60,multiply(Y,inverse(X_62))))),multiply(X_62,inverse(X_60))) )],[refute_0_532,refute_0_535]) ).
cnf(refute_0_537,plain,
multiply(X_3,inverse(multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))) = multiply(multiply(X_0,Y),inverse(X_0)),
inference(subst,[],[refute_0_536:[bind(Y,$fot(X_3)),bind(X_60,$fot(X_0)),bind(X_62,$fot(multiply(X_0,Y)))]]) ).
cnf(refute_0_538,plain,
( multiply(X_3,inverse(multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))) != multiply(multiply(X_0,Y),inverse(X_0))
| multiply(multiply(X_0,Y),inverse(X_0)) != multiply(inverse(X_0),multiply(X_0,Y))
| multiply(X_3,inverse(multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))) = multiply(inverse(X_0),multiply(X_0,Y)) ),
inference(subst,[],[refute_0_113:[bind(X0,$fot(multiply(X_3,inverse(multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))))),bind(Y0,$fot(multiply(multiply(X_0,Y),inverse(X_0)))),bind(Z0,$fot(multiply(inverse(X_0),multiply(X_0,Y))))]]) ).
cnf(refute_0_539,plain,
( multiply(multiply(X_0,Y),inverse(X_0)) != multiply(inverse(X_0),multiply(X_0,Y))
| multiply(X_3,inverse(multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))) = multiply(inverse(X_0),multiply(X_0,Y)) ),
inference(resolve,[$cnf( $equal(multiply(X_3,inverse(multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))),multiply(multiply(X_0,Y),inverse(X_0))) )],[refute_0_537,refute_0_538]) ).
cnf(refute_0_540,plain,
multiply(X_3,inverse(multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))) = multiply(inverse(X_0),multiply(X_0,Y)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_0,Y),inverse(X_0)),multiply(inverse(X_0),multiply(X_0,Y))) )],[refute_0_531,refute_0_539]) ).
cnf(refute_0_541,plain,
( inverse(X_60) != multiply(X_33,inverse(multiply(X_33,X_60)))
| multiply(X_33,inverse(multiply(X_33,X_60))) = inverse(X_60) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(inverse(X_60))),bind(Y0,$fot(multiply(X_33,inverse(multiply(X_33,X_60)))))]]) ).
cnf(refute_0_542,plain,
multiply(X_33,inverse(multiply(X_33,X_60))) = inverse(X_60),
inference(resolve,[$cnf( $equal(inverse(X_60),multiply(X_33,inverse(multiply(X_33,X_60)))) )],[refute_0_379,refute_0_541]) ).
cnf(refute_0_543,plain,
multiply(X_4,inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))) = inverse(multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))),
inference(subst,[],[refute_0_542:[bind(X_33,$fot(X_4)),bind(X_60,$fot(multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))]]) ).
cnf(refute_0_544,plain,
multiply(X_3,multiply(X_4,inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))))) = multiply(X_3,multiply(X_4,inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))))),
introduced(tautology,[refl,[$fot(multiply(X_3,multiply(X_4,inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))))))]]) ).
cnf(refute_0_545,plain,
( multiply(X_3,multiply(X_4,inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))))) != multiply(X_3,multiply(X_4,inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))))
| multiply(X_4,inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))) != inverse(multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))
| multiply(X_3,multiply(X_4,inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))))) = multiply(X_3,inverse(multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_3,multiply(X_4,inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))))),multiply(X_3,multiply(X_4,inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))))) ),[1,1],$fot(inverse(multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))]]) ).
cnf(refute_0_546,plain,
( multiply(X_4,inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))) != inverse(multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))
| multiply(X_3,multiply(X_4,inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))))) = multiply(X_3,inverse(multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))) ),
inference(resolve,[$cnf( $equal(multiply(X_3,multiply(X_4,inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))))),multiply(X_3,multiply(X_4,inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))))) )],[refute_0_544,refute_0_545]) ).
cnf(refute_0_547,plain,
multiply(X_3,multiply(X_4,inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))))) = multiply(X_3,inverse(multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))),
inference(resolve,[$cnf( $equal(multiply(X_4,inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))),inverse(multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))) )],[refute_0_543,refute_0_546]) ).
cnf(refute_0_548,plain,
( multiply(X_3,multiply(X_4,inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))))) != multiply(X_3,inverse(multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))
| multiply(X_3,inverse(multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))) != multiply(inverse(X_0),multiply(X_0,Y))
| multiply(X_3,multiply(X_4,inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))))) = multiply(inverse(X_0),multiply(X_0,Y)) ),
inference(subst,[],[refute_0_113:[bind(X0,$fot(multiply(X_3,multiply(X_4,inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))))))),bind(Y0,$fot(multiply(X_3,inverse(multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))))),bind(Z0,$fot(multiply(inverse(X_0),multiply(X_0,Y))))]]) ).
cnf(refute_0_549,plain,
( multiply(X_3,inverse(multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))) != multiply(inverse(X_0),multiply(X_0,Y))
| multiply(X_3,multiply(X_4,inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))))) = multiply(inverse(X_0),multiply(X_0,Y)) ),
inference(resolve,[$cnf( $equal(multiply(X_3,multiply(X_4,inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))))),multiply(X_3,inverse(multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))) )],[refute_0_547,refute_0_548]) ).
cnf(refute_0_550,plain,
multiply(X_3,multiply(X_4,inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))))) = multiply(inverse(X_0),multiply(X_0,Y)),
inference(resolve,[$cnf( $equal(multiply(X_3,inverse(multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))),multiply(inverse(X_0),multiply(X_0,Y))) )],[refute_0_540,refute_0_549]) ).
cnf(refute_0_551,plain,
multiply(multiply(X_4,X_3),inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))) = multiply(X_3,multiply(X_4,inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))))),
inference(subst,[],[refute_0_300:[bind(Y,$fot(X_3)),bind(X_0,$fot(X_4)),bind(X_60,$fot(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))))]]) ).
cnf(refute_0_552,plain,
inverse(multiply(inverse(multiply(inverse(X_66),X_65)),X_60)) = multiply(multiply(inverse(X_66),X_65),inverse(X_60)),
inference(subst,[],[refute_0_316:[bind(X_62,$fot(multiply(inverse(X_66),X_65)))]]) ).
cnf(refute_0_553,plain,
( inverse(multiply(inverse(X_66),X_65)) != multiply(X_66,inverse(X_65))
| inverse(multiply(inverse(multiply(inverse(X_66),X_65)),X_60)) != multiply(multiply(inverse(X_66),X_65),inverse(X_60))
| inverse(multiply(multiply(X_66,inverse(X_65)),X_60)) = multiply(multiply(inverse(X_66),X_65),inverse(X_60)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(multiply(inverse(X_66),X_65)),X_60)),multiply(multiply(inverse(X_66),X_65),inverse(X_60))) ),[0,0,0],$fot(multiply(X_66,inverse(X_65)))]]) ).
cnf(refute_0_554,plain,
( inverse(multiply(inverse(multiply(inverse(X_66),X_65)),X_60)) != multiply(multiply(inverse(X_66),X_65),inverse(X_60))
| inverse(multiply(multiply(X_66,inverse(X_65)),X_60)) = multiply(multiply(inverse(X_66),X_65),inverse(X_60)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_66),X_65)),multiply(X_66,inverse(X_65))) )],[refute_0_523,refute_0_553]) ).
cnf(refute_0_555,plain,
inverse(multiply(multiply(X_66,inverse(X_65)),X_60)) = multiply(multiply(inverse(X_66),X_65),inverse(X_60)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(inverse(X_66),X_65)),X_60)),multiply(multiply(inverse(X_66),X_65),inverse(X_60))) )],[refute_0_552,refute_0_554]) ).
cnf(refute_0_556,plain,
inverse(multiply(multiply(X_66,inverse(X_65)),X_60)) = inverse(multiply(X_66,multiply(inverse(X_65),X_60))),
inference(subst,[],[refute_0_206:[bind(X_14,$fot(X_66)),bind(X_15,$fot(X_65)),bind(X_2,$fot(X_60))]]) ).
cnf(refute_0_557,plain,
( inverse(multiply(multiply(X_66,inverse(X_65)),X_60)) != multiply(multiply(inverse(X_66),X_65),inverse(X_60))
| inverse(multiply(multiply(X_66,inverse(X_65)),X_60)) != inverse(multiply(X_66,multiply(inverse(X_65),X_60)))
| inverse(multiply(X_66,multiply(inverse(X_65),X_60))) = multiply(multiply(inverse(X_66),X_65),inverse(X_60)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_66,inverse(X_65)),X_60)),multiply(multiply(inverse(X_66),X_65),inverse(X_60))) ),[0],$fot(inverse(multiply(X_66,multiply(inverse(X_65),X_60))))]]) ).
cnf(refute_0_558,plain,
( inverse(multiply(multiply(X_66,inverse(X_65)),X_60)) != multiply(multiply(inverse(X_66),X_65),inverse(X_60))
| inverse(multiply(X_66,multiply(inverse(X_65),X_60))) = multiply(multiply(inverse(X_66),X_65),inverse(X_60)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_66,inverse(X_65)),X_60)),inverse(multiply(X_66,multiply(inverse(X_65),X_60)))) )],[refute_0_556,refute_0_557]) ).
cnf(refute_0_559,plain,
multiply(inverse(X_66),inverse(X_60)) = inverse(multiply(X_66,X_60)),
inference(subst,[],[refute_0_155:[bind(X_0,$fot(X_66)),bind(X_1,$fot(X_60))]]) ).
cnf(refute_0_560,plain,
multiply(X_65,multiply(inverse(X_66),inverse(X_60))) = multiply(X_65,multiply(inverse(X_66),inverse(X_60))),
introduced(tautology,[refl,[$fot(multiply(X_65,multiply(inverse(X_66),inverse(X_60))))]]) ).
cnf(refute_0_561,plain,
( multiply(X_65,multiply(inverse(X_66),inverse(X_60))) != multiply(X_65,multiply(inverse(X_66),inverse(X_60)))
| multiply(inverse(X_66),inverse(X_60)) != inverse(multiply(X_66,X_60))
| multiply(X_65,multiply(inverse(X_66),inverse(X_60))) = multiply(X_65,inverse(multiply(X_66,X_60))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_65,multiply(inverse(X_66),inverse(X_60))),multiply(X_65,multiply(inverse(X_66),inverse(X_60)))) ),[1,1],$fot(inverse(multiply(X_66,X_60)))]]) ).
cnf(refute_0_562,plain,
( multiply(inverse(X_66),inverse(X_60)) != inverse(multiply(X_66,X_60))
| multiply(X_65,multiply(inverse(X_66),inverse(X_60))) = multiply(X_65,inverse(multiply(X_66,X_60))) ),
inference(resolve,[$cnf( $equal(multiply(X_65,multiply(inverse(X_66),inverse(X_60))),multiply(X_65,multiply(inverse(X_66),inverse(X_60)))) )],[refute_0_560,refute_0_561]) ).
cnf(refute_0_563,plain,
multiply(X_65,multiply(inverse(X_66),inverse(X_60))) = multiply(X_65,inverse(multiply(X_66,X_60))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_66),inverse(X_60)),inverse(multiply(X_66,X_60))) )],[refute_0_559,refute_0_562]) ).
cnf(refute_0_564,plain,
multiply(multiply(inverse(X_66),X_65),inverse(X_60)) = multiply(X_65,multiply(inverse(X_66),inverse(X_60))),
inference(subst,[],[refute_0_300:[bind(Y,$fot(X_65)),bind(X_0,$fot(inverse(X_66)))]]) ).
cnf(refute_0_565,plain,
( multiply(X_65,multiply(inverse(X_66),inverse(X_60))) != multiply(X_65,inverse(multiply(X_66,X_60)))
| multiply(multiply(inverse(X_66),X_65),inverse(X_60)) != multiply(X_65,multiply(inverse(X_66),inverse(X_60)))
| multiply(multiply(inverse(X_66),X_65),inverse(X_60)) = multiply(X_65,inverse(multiply(X_66,X_60))) ),
inference(subst,[],[refute_0_113:[bind(X0,$fot(multiply(multiply(inverse(X_66),X_65),inverse(X_60)))),bind(Y0,$fot(multiply(X_65,multiply(inverse(X_66),inverse(X_60))))),bind(Z0,$fot(multiply(X_65,inverse(multiply(X_66,X_60)))))]]) ).
cnf(refute_0_566,plain,
( multiply(X_65,multiply(inverse(X_66),inverse(X_60))) != multiply(X_65,inverse(multiply(X_66,X_60)))
| multiply(multiply(inverse(X_66),X_65),inverse(X_60)) = multiply(X_65,inverse(multiply(X_66,X_60))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_66),X_65),inverse(X_60)),multiply(X_65,multiply(inverse(X_66),inverse(X_60)))) )],[refute_0_564,refute_0_565]) ).
cnf(refute_0_567,plain,
multiply(multiply(inverse(X_66),X_65),inverse(X_60)) = multiply(X_65,inverse(multiply(X_66,X_60))),
inference(resolve,[$cnf( $equal(multiply(X_65,multiply(inverse(X_66),inverse(X_60))),multiply(X_65,inverse(multiply(X_66,X_60)))) )],[refute_0_563,refute_0_566]) ).
cnf(refute_0_568,plain,
( multiply(multiply(inverse(X_66),X_65),inverse(X_60)) != multiply(X_65,inverse(multiply(X_66,X_60)))
| inverse(multiply(X_66,multiply(inverse(X_65),X_60))) != multiply(multiply(inverse(X_66),X_65),inverse(X_60))
| inverse(multiply(X_66,multiply(inverse(X_65),X_60))) = multiply(X_65,inverse(multiply(X_66,X_60))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_66,multiply(inverse(X_65),X_60))),multiply(multiply(inverse(X_66),X_65),inverse(X_60))) ),[1],$fot(multiply(X_65,inverse(multiply(X_66,X_60))))]]) ).
cnf(refute_0_569,plain,
( inverse(multiply(X_66,multiply(inverse(X_65),X_60))) != multiply(multiply(inverse(X_66),X_65),inverse(X_60))
| inverse(multiply(X_66,multiply(inverse(X_65),X_60))) = multiply(X_65,inverse(multiply(X_66,X_60))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_66),X_65),inverse(X_60)),multiply(X_65,inverse(multiply(X_66,X_60)))) )],[refute_0_567,refute_0_568]) ).
cnf(refute_0_570,plain,
( inverse(multiply(multiply(X_66,inverse(X_65)),X_60)) != multiply(multiply(inverse(X_66),X_65),inverse(X_60))
| inverse(multiply(X_66,multiply(inverse(X_65),X_60))) = multiply(X_65,inverse(multiply(X_66,X_60))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_66,multiply(inverse(X_65),X_60))),multiply(multiply(inverse(X_66),X_65),inverse(X_60))) )],[refute_0_558,refute_0_569]) ).
cnf(refute_0_571,plain,
inverse(multiply(X_66,multiply(inverse(X_65),X_60))) = multiply(X_65,inverse(multiply(X_66,X_60))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_66,inverse(X_65)),X_60)),multiply(multiply(inverse(X_66),X_65),inverse(X_60))) )],[refute_0_555,refute_0_570]) ).
cnf(refute_0_572,plain,
inverse(multiply(X_4,multiply(inverse(multiply(X_4,X_3)),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))) = multiply(multiply(X_4,X_3),inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))),
inference(subst,[],[refute_0_571:[bind(X_60,$fot(multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))),bind(X_65,$fot(multiply(X_4,X_3))),bind(X_66,$fot(X_4))]]) ).
cnf(refute_0_573,plain,
( multiply(multiply(X_4,X_3),inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))) != multiply(X_3,multiply(X_4,inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))))
| inverse(multiply(X_4,multiply(inverse(multiply(X_4,X_3)),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))) != multiply(multiply(X_4,X_3),inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))))
| inverse(multiply(X_4,multiply(inverse(multiply(X_4,X_3)),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))) = multiply(X_3,multiply(X_4,inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))))) ),
inference(subst,[],[refute_0_113:[bind(X0,$fot(inverse(multiply(X_4,multiply(inverse(multiply(X_4,X_3)),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))))),bind(Y0,$fot(multiply(multiply(X_4,X_3),inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))))),bind(Z0,$fot(multiply(X_3,multiply(X_4,inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))))))]]) ).
cnf(refute_0_574,plain,
( multiply(multiply(X_4,X_3),inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))) != multiply(X_3,multiply(X_4,inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))))
| inverse(multiply(X_4,multiply(inverse(multiply(X_4,X_3)),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))) = multiply(X_3,multiply(X_4,inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_4,multiply(inverse(multiply(X_4,X_3)),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))),multiply(multiply(X_4,X_3),inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))))) )],[refute_0_572,refute_0_573]) ).
cnf(refute_0_575,plain,
inverse(multiply(X_4,multiply(inverse(multiply(X_4,X_3)),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))) = multiply(X_3,multiply(X_4,inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_4,X_3),inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))),multiply(X_3,multiply(X_4,inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))))) )],[refute_0_551,refute_0_574]) ).
cnf(refute_0_576,plain,
( multiply(X_3,multiply(X_4,inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))))) != multiply(inverse(X_0),multiply(X_0,Y))
| inverse(multiply(X_4,multiply(inverse(multiply(X_4,X_3)),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))) != multiply(X_3,multiply(X_4,inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))))
| inverse(multiply(X_4,multiply(inverse(multiply(X_4,X_3)),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))) = multiply(inverse(X_0),multiply(X_0,Y)) ),
inference(subst,[],[refute_0_113:[bind(X0,$fot(inverse(multiply(X_4,multiply(inverse(multiply(X_4,X_3)),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))))),bind(Y0,$fot(multiply(X_3,multiply(X_4,inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))))))),bind(Z0,$fot(multiply(inverse(X_0),multiply(X_0,Y))))]]) ).
cnf(refute_0_577,plain,
( multiply(X_3,multiply(X_4,inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))))) != multiply(inverse(X_0),multiply(X_0,Y))
| inverse(multiply(X_4,multiply(inverse(multiply(X_4,X_3)),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))) = multiply(inverse(X_0),multiply(X_0,Y)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_4,multiply(inverse(multiply(X_4,X_3)),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))),multiply(X_3,multiply(X_4,inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))))) )],[refute_0_575,refute_0_576]) ).
cnf(refute_0_578,plain,
inverse(multiply(X_4,multiply(inverse(multiply(X_4,X_3)),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))) = multiply(inverse(X_0),multiply(X_0,Y)),
inference(resolve,[$cnf( $equal(multiply(X_3,multiply(X_4,inverse(multiply(X_4,multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y)))))))),multiply(inverse(X_0),multiply(X_0,Y))) )],[refute_0_550,refute_0_577]) ).
cnf(refute_0_579,plain,
( inverse(multiply(X_4,multiply(inverse(multiply(X_4,X_3)),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))) != Y
| inverse(multiply(X_4,multiply(inverse(multiply(X_4,X_3)),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))) != multiply(inverse(X_0),multiply(X_0,Y))
| multiply(inverse(X_0),multiply(X_0,Y)) = Y ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_4,multiply(inverse(multiply(X_4,X_3)),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))),Y) ),[0],$fot(multiply(inverse(X_0),multiply(X_0,Y)))]]) ).
cnf(refute_0_580,plain,
( inverse(multiply(X_4,multiply(inverse(multiply(X_4,X_3)),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))) != Y
| multiply(inverse(X_0),multiply(X_0,Y)) = Y ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_4,multiply(inverse(multiply(X_4,X_3)),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))),multiply(inverse(X_0),multiply(X_0,Y))) )],[refute_0_578,refute_0_579]) ).
cnf(refute_0_581,plain,
multiply(inverse(X_0),multiply(X_0,Y)) = Y,
inference(resolve,[$cnf( $equal(inverse(multiply(X_4,multiply(inverse(multiply(X_4,X_3)),multiply(X_0,multiply(X_3,inverse(multiply(X_0,Y))))))),Y) )],[refute_0_521,refute_0_580]) ).
cnf(refute_0_582,plain,
multiply(inverse(multiply(X_60,X_37)),multiply(multiply(X_60,X_37),X_75)) = X_75,
inference(subst,[],[refute_0_581:[bind(Y,$fot(X_75)),bind(X_0,$fot(multiply(X_60,X_37)))]]) ).
cnf(refute_0_583,plain,
( inverse(multiply(X_37,X_60)) != inverse(multiply(X_60,X_37))
| inverse(multiply(X_60,X_37)) = inverse(multiply(X_37,X_60)) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(inverse(multiply(X_37,X_60)))),bind(Y0,$fot(inverse(multiply(X_60,X_37))))]]) ).
cnf(refute_0_584,plain,
inverse(multiply(X_60,X_37)) = inverse(multiply(X_37,X_60)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_37,X_60)),inverse(multiply(X_60,X_37))) )],[refute_0_480,refute_0_583]) ).
cnf(refute_0_585,plain,
( multiply(inverse(multiply(X_60,X_37)),multiply(multiply(X_60,X_37),X_75)) != X_75
| inverse(multiply(X_60,X_37)) != inverse(multiply(X_37,X_60))
| multiply(inverse(multiply(X_37,X_60)),multiply(multiply(X_60,X_37),X_75)) = X_75 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_60,X_37)),multiply(multiply(X_60,X_37),X_75)),X_75) ),[0,0],$fot(inverse(multiply(X_37,X_60)))]]) ).
cnf(refute_0_586,plain,
( multiply(inverse(multiply(X_60,X_37)),multiply(multiply(X_60,X_37),X_75)) != X_75
| multiply(inverse(multiply(X_37,X_60)),multiply(multiply(X_60,X_37),X_75)) = X_75 ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_60,X_37)),inverse(multiply(X_37,X_60))) )],[refute_0_584,refute_0_585]) ).
cnf(refute_0_587,plain,
multiply(inverse(multiply(X_37,X_60)),multiply(multiply(X_60,X_37),X_75)) = X_75,
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_60,X_37)),multiply(multiply(X_60,X_37),X_75)),X_75) )],[refute_0_582,refute_0_586]) ).
cnf(refute_0_588,plain,
multiply(inverse(multiply(inverse(X_1),inverse(X_0))),multiply(multiply(inverse(X_0),inverse(X_1)),X_79)) = X_79,
inference(subst,[],[refute_0_587:[bind(X_37,$fot(inverse(X_1))),bind(X_60,$fot(inverse(X_0))),bind(X_75,$fot(X_79))]]) ).
cnf(refute_0_589,plain,
( multiply(inverse(X_0),inverse(X_1)) != inverse(multiply(X_0,X_1))
| multiply(inverse(multiply(inverse(X_1),inverse(X_0))),multiply(multiply(inverse(X_0),inverse(X_1)),X_79)) != X_79
| multiply(inverse(multiply(inverse(X_1),inverse(X_0))),multiply(inverse(multiply(X_0,X_1)),X_79)) = X_79 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_1),inverse(X_0))),multiply(multiply(inverse(X_0),inverse(X_1)),X_79)),X_79) ),[0,1,0],$fot(inverse(multiply(X_0,X_1)))]]) ).
cnf(refute_0_590,plain,
( multiply(inverse(multiply(inverse(X_1),inverse(X_0))),multiply(multiply(inverse(X_0),inverse(X_1)),X_79)) != X_79
| multiply(inverse(multiply(inverse(X_1),inverse(X_0))),multiply(inverse(multiply(X_0,X_1)),X_79)) = X_79 ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_0),inverse(X_1)),inverse(multiply(X_0,X_1))) )],[refute_0_155,refute_0_589]) ).
cnf(refute_0_591,plain,
multiply(inverse(multiply(inverse(X_1),inverse(X_0))),multiply(inverse(multiply(X_0,X_1)),X_79)) = X_79,
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_1),inverse(X_0))),multiply(multiply(inverse(X_0),inverse(X_1)),X_79)),X_79) )],[refute_0_588,refute_0_590]) ).
cnf(refute_0_592,plain,
inverse(inverse(X_0)) = X_0,
inference(subst,[],[refute_0_262:[bind(Y,$fot(X_0))]]) ).
cnf(refute_0_593,plain,
multiply(X_1,inverse(inverse(X_0))) = multiply(X_1,inverse(inverse(X_0))),
introduced(tautology,[refl,[$fot(multiply(X_1,inverse(inverse(X_0))))]]) ).
cnf(refute_0_594,plain,
( multiply(X_1,inverse(inverse(X_0))) != multiply(X_1,inverse(inverse(X_0)))
| inverse(inverse(X_0)) != X_0
| multiply(X_1,inverse(inverse(X_0))) = multiply(X_1,X_0) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_1,inverse(inverse(X_0))),multiply(X_1,inverse(inverse(X_0)))) ),[1,1],$fot(X_0)]]) ).
cnf(refute_0_595,plain,
( inverse(inverse(X_0)) != X_0
| multiply(X_1,inverse(inverse(X_0))) = multiply(X_1,X_0) ),
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(inverse(X_0))),multiply(X_1,inverse(inverse(X_0)))) )],[refute_0_593,refute_0_594]) ).
cnf(refute_0_596,plain,
multiply(X_1,inverse(inverse(X_0))) = multiply(X_1,X_0),
inference(resolve,[$cnf( $equal(inverse(inverse(X_0)),X_0) )],[refute_0_592,refute_0_595]) ).
cnf(refute_0_597,plain,
inverse(multiply(inverse(X_1),inverse(X_0))) = multiply(X_1,inverse(inverse(X_0))),
inference(subst,[],[refute_0_316:[bind(X_60,$fot(inverse(X_0))),bind(X_62,$fot(X_1))]]) ).
cnf(refute_0_598,plain,
( multiply(X_1,inverse(inverse(X_0))) != multiply(X_1,X_0)
| inverse(multiply(inverse(X_1),inverse(X_0))) != multiply(X_1,inverse(inverse(X_0)))
| inverse(multiply(inverse(X_1),inverse(X_0))) = multiply(X_1,X_0) ),
inference(subst,[],[refute_0_113:[bind(X0,$fot(inverse(multiply(inverse(X_1),inverse(X_0))))),bind(Y0,$fot(multiply(X_1,inverse(inverse(X_0))))),bind(Z0,$fot(multiply(X_1,X_0)))]]) ).
cnf(refute_0_599,plain,
( multiply(X_1,inverse(inverse(X_0))) != multiply(X_1,X_0)
| inverse(multiply(inverse(X_1),inverse(X_0))) = multiply(X_1,X_0) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_1),inverse(X_0))),multiply(X_1,inverse(inverse(X_0)))) )],[refute_0_597,refute_0_598]) ).
cnf(refute_0_600,plain,
inverse(multiply(inverse(X_1),inverse(X_0))) = multiply(X_1,X_0),
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(inverse(X_0))),multiply(X_1,X_0)) )],[refute_0_596,refute_0_599]) ).
cnf(refute_0_601,plain,
multiply(inverse(multiply(inverse(X_1),inverse(X_0))),multiply(inverse(multiply(X_0,X_1)),X_79)) = multiply(inverse(multiply(inverse(X_1),inverse(X_0))),multiply(inverse(multiply(X_0,X_1)),X_79)),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(inverse(X_1),inverse(X_0))),multiply(inverse(multiply(X_0,X_1)),X_79)))]]) ).
cnf(refute_0_602,plain,
( multiply(inverse(multiply(inverse(X_1),inverse(X_0))),multiply(inverse(multiply(X_0,X_1)),X_79)) != multiply(inverse(multiply(inverse(X_1),inverse(X_0))),multiply(inverse(multiply(X_0,X_1)),X_79))
| inverse(multiply(inverse(X_1),inverse(X_0))) != multiply(X_1,X_0)
| multiply(inverse(multiply(inverse(X_1),inverse(X_0))),multiply(inverse(multiply(X_0,X_1)),X_79)) = multiply(multiply(X_1,X_0),multiply(inverse(multiply(X_0,X_1)),X_79)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_1),inverse(X_0))),multiply(inverse(multiply(X_0,X_1)),X_79)),multiply(inverse(multiply(inverse(X_1),inverse(X_0))),multiply(inverse(multiply(X_0,X_1)),X_79))) ),[1,0],$fot(multiply(X_1,X_0))]]) ).
cnf(refute_0_603,plain,
( inverse(multiply(inverse(X_1),inverse(X_0))) != multiply(X_1,X_0)
| multiply(inverse(multiply(inverse(X_1),inverse(X_0))),multiply(inverse(multiply(X_0,X_1)),X_79)) = multiply(multiply(X_1,X_0),multiply(inverse(multiply(X_0,X_1)),X_79)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_1),inverse(X_0))),multiply(inverse(multiply(X_0,X_1)),X_79)),multiply(inverse(multiply(inverse(X_1),inverse(X_0))),multiply(inverse(multiply(X_0,X_1)),X_79))) )],[refute_0_601,refute_0_602]) ).
cnf(refute_0_604,plain,
multiply(inverse(multiply(inverse(X_1),inverse(X_0))),multiply(inverse(multiply(X_0,X_1)),X_79)) = multiply(multiply(X_1,X_0),multiply(inverse(multiply(X_0,X_1)),X_79)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_1),inverse(X_0))),multiply(X_1,X_0)) )],[refute_0_600,refute_0_603]) ).
cnf(refute_0_605,plain,
( multiply(inverse(multiply(inverse(X_1),inverse(X_0))),multiply(inverse(multiply(X_0,X_1)),X_79)) != X_79
| multiply(inverse(multiply(inverse(X_1),inverse(X_0))),multiply(inverse(multiply(X_0,X_1)),X_79)) != multiply(multiply(X_1,X_0),multiply(inverse(multiply(X_0,X_1)),X_79))
| multiply(multiply(X_1,X_0),multiply(inverse(multiply(X_0,X_1)),X_79)) = X_79 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_1),inverse(X_0))),multiply(inverse(multiply(X_0,X_1)),X_79)),X_79) ),[0],$fot(multiply(multiply(X_1,X_0),multiply(inverse(multiply(X_0,X_1)),X_79)))]]) ).
cnf(refute_0_606,plain,
( multiply(inverse(multiply(inverse(X_1),inverse(X_0))),multiply(inverse(multiply(X_0,X_1)),X_79)) != X_79
| multiply(multiply(X_1,X_0),multiply(inverse(multiply(X_0,X_1)),X_79)) = X_79 ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_1),inverse(X_0))),multiply(inverse(multiply(X_0,X_1)),X_79)),multiply(multiply(X_1,X_0),multiply(inverse(multiply(X_0,X_1)),X_79))) )],[refute_0_604,refute_0_605]) ).
cnf(refute_0_607,plain,
multiply(multiply(X_1,X_0),multiply(inverse(multiply(X_0,X_1)),X_79)) = X_79,
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_1),inverse(X_0))),multiply(inverse(multiply(X_0,X_1)),X_79)),X_79) )],[refute_0_591,refute_0_606]) ).
cnf(refute_0_608,plain,
multiply(multiply(X_1,X_0),multiply(inverse(multiply(X_0,X_1)),multiply(X_100,multiply(X_98,inverse(inverse(multiply(X_0,X_1))))))) = multiply(X_100,multiply(X_98,inverse(inverse(multiply(X_0,X_1))))),
inference(subst,[],[refute_0_607:[bind(X_79,$fot(multiply(X_100,multiply(X_98,inverse(inverse(multiply(X_0,X_1)))))))]]) ).
cnf(refute_0_609,plain,
multiply(inverse(multiply(X_0,X_1)),multiply(X_100,multiply(X_98,inverse(inverse(multiply(X_0,X_1)))))) = multiply(X_100,X_98),
inference(subst,[],[refute_0_332:[bind(Y,$fot(X_98)),bind(X_61,$fot(inverse(multiply(X_0,X_1)))),bind(X_62,$fot(X_100))]]) ).
cnf(refute_0_610,plain,
( multiply(multiply(X_1,X_0),multiply(inverse(multiply(X_0,X_1)),multiply(X_100,multiply(X_98,inverse(inverse(multiply(X_0,X_1))))))) != multiply(X_100,multiply(X_98,inverse(inverse(multiply(X_0,X_1)))))
| multiply(inverse(multiply(X_0,X_1)),multiply(X_100,multiply(X_98,inverse(inverse(multiply(X_0,X_1)))))) != multiply(X_100,X_98)
| multiply(multiply(X_1,X_0),multiply(X_100,X_98)) = multiply(X_100,multiply(X_98,inverse(inverse(multiply(X_0,X_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_1,X_0),multiply(inverse(multiply(X_0,X_1)),multiply(X_100,multiply(X_98,inverse(inverse(multiply(X_0,X_1))))))),multiply(X_100,multiply(X_98,inverse(inverse(multiply(X_0,X_1)))))) ),[0,1],$fot(multiply(X_100,X_98))]]) ).
cnf(refute_0_611,plain,
( multiply(multiply(X_1,X_0),multiply(inverse(multiply(X_0,X_1)),multiply(X_100,multiply(X_98,inverse(inverse(multiply(X_0,X_1))))))) != multiply(X_100,multiply(X_98,inverse(inverse(multiply(X_0,X_1)))))
| multiply(multiply(X_1,X_0),multiply(X_100,X_98)) = multiply(X_100,multiply(X_98,inverse(inverse(multiply(X_0,X_1))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_0,X_1)),multiply(X_100,multiply(X_98,inverse(inverse(multiply(X_0,X_1)))))),multiply(X_100,X_98)) )],[refute_0_609,refute_0_610]) ).
cnf(refute_0_612,plain,
multiply(multiply(X_1,X_0),multiply(X_100,X_98)) = multiply(X_100,multiply(X_98,inverse(inverse(multiply(X_0,X_1))))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_1,X_0),multiply(inverse(multiply(X_0,X_1)),multiply(X_100,multiply(X_98,inverse(inverse(multiply(X_0,X_1))))))),multiply(X_100,multiply(X_98,inverse(inverse(multiply(X_0,X_1)))))) )],[refute_0_608,refute_0_611]) ).
cnf(refute_0_613,plain,
inverse(inverse(multiply(X_0,X_1))) = multiply(X_0,X_1),
inference(subst,[],[refute_0_262:[bind(Y,$fot(multiply(X_0,X_1)))]]) ).
cnf(refute_0_614,plain,
multiply(X_98,inverse(inverse(multiply(X_0,X_1)))) = multiply(X_98,inverse(inverse(multiply(X_0,X_1)))),
introduced(tautology,[refl,[$fot(multiply(X_98,inverse(inverse(multiply(X_0,X_1)))))]]) ).
cnf(refute_0_615,plain,
( multiply(X_98,inverse(inverse(multiply(X_0,X_1)))) != multiply(X_98,inverse(inverse(multiply(X_0,X_1))))
| inverse(inverse(multiply(X_0,X_1))) != multiply(X_0,X_1)
| multiply(X_98,inverse(inverse(multiply(X_0,X_1)))) = multiply(X_98,multiply(X_0,X_1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_98,inverse(inverse(multiply(X_0,X_1)))),multiply(X_98,inverse(inverse(multiply(X_0,X_1))))) ),[1,1],$fot(multiply(X_0,X_1))]]) ).
cnf(refute_0_616,plain,
( inverse(inverse(multiply(X_0,X_1))) != multiply(X_0,X_1)
| multiply(X_98,inverse(inverse(multiply(X_0,X_1)))) = multiply(X_98,multiply(X_0,X_1)) ),
inference(resolve,[$cnf( $equal(multiply(X_98,inverse(inverse(multiply(X_0,X_1)))),multiply(X_98,inverse(inverse(multiply(X_0,X_1))))) )],[refute_0_614,refute_0_615]) ).
cnf(refute_0_617,plain,
multiply(X_98,inverse(inverse(multiply(X_0,X_1)))) = multiply(X_98,multiply(X_0,X_1)),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_0,X_1))),multiply(X_0,X_1)) )],[refute_0_613,refute_0_616]) ).
cnf(refute_0_618,plain,
multiply(X_100,multiply(X_98,inverse(inverse(multiply(X_0,X_1))))) = multiply(X_100,multiply(X_98,inverse(inverse(multiply(X_0,X_1))))),
introduced(tautology,[refl,[$fot(multiply(X_100,multiply(X_98,inverse(inverse(multiply(X_0,X_1))))))]]) ).
cnf(refute_0_619,plain,
( multiply(X_100,multiply(X_98,inverse(inverse(multiply(X_0,X_1))))) != multiply(X_100,multiply(X_98,inverse(inverse(multiply(X_0,X_1)))))
| multiply(X_98,inverse(inverse(multiply(X_0,X_1)))) != multiply(X_98,multiply(X_0,X_1))
| multiply(X_100,multiply(X_98,inverse(inverse(multiply(X_0,X_1))))) = multiply(X_100,multiply(X_98,multiply(X_0,X_1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_100,multiply(X_98,inverse(inverse(multiply(X_0,X_1))))),multiply(X_100,multiply(X_98,inverse(inverse(multiply(X_0,X_1)))))) ),[1,1],$fot(multiply(X_98,multiply(X_0,X_1)))]]) ).
cnf(refute_0_620,plain,
( multiply(X_98,inverse(inverse(multiply(X_0,X_1)))) != multiply(X_98,multiply(X_0,X_1))
| multiply(X_100,multiply(X_98,inverse(inverse(multiply(X_0,X_1))))) = multiply(X_100,multiply(X_98,multiply(X_0,X_1))) ),
inference(resolve,[$cnf( $equal(multiply(X_100,multiply(X_98,inverse(inverse(multiply(X_0,X_1))))),multiply(X_100,multiply(X_98,inverse(inverse(multiply(X_0,X_1)))))) )],[refute_0_618,refute_0_619]) ).
cnf(refute_0_621,plain,
multiply(X_100,multiply(X_98,inverse(inverse(multiply(X_0,X_1))))) = multiply(X_100,multiply(X_98,multiply(X_0,X_1))),
inference(resolve,[$cnf( $equal(multiply(X_98,inverse(inverse(multiply(X_0,X_1)))),multiply(X_98,multiply(X_0,X_1))) )],[refute_0_617,refute_0_620]) ).
cnf(refute_0_622,plain,
( multiply(X_100,multiply(X_98,inverse(inverse(multiply(X_0,X_1))))) != multiply(X_100,multiply(X_98,multiply(X_0,X_1)))
| multiply(multiply(X_1,X_0),multiply(X_100,X_98)) != multiply(X_100,multiply(X_98,inverse(inverse(multiply(X_0,X_1)))))
| multiply(multiply(X_1,X_0),multiply(X_100,X_98)) = multiply(X_100,multiply(X_98,multiply(X_0,X_1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_1,X_0),multiply(X_100,X_98)),multiply(X_100,multiply(X_98,inverse(inverse(multiply(X_0,X_1)))))) ),[1],$fot(multiply(X_100,multiply(X_98,multiply(X_0,X_1))))]]) ).
cnf(refute_0_623,plain,
( multiply(multiply(X_1,X_0),multiply(X_100,X_98)) != multiply(X_100,multiply(X_98,inverse(inverse(multiply(X_0,X_1)))))
| multiply(multiply(X_1,X_0),multiply(X_100,X_98)) = multiply(X_100,multiply(X_98,multiply(X_0,X_1))) ),
inference(resolve,[$cnf( $equal(multiply(X_100,multiply(X_98,inverse(inverse(multiply(X_0,X_1))))),multiply(X_100,multiply(X_98,multiply(X_0,X_1)))) )],[refute_0_621,refute_0_622]) ).
cnf(refute_0_624,plain,
multiply(multiply(X_1,X_0),multiply(X_100,X_98)) = multiply(X_100,multiply(X_98,multiply(X_0,X_1))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_1,X_0),multiply(X_100,X_98)),multiply(X_100,multiply(X_98,inverse(inverse(multiply(X_0,X_1)))))) )],[refute_0_612,refute_0_623]) ).
cnf(refute_0_625,plain,
multiply(multiply(X_1,X_0),multiply(X_100,X_98)) = multiply(X_0,multiply(X_1,multiply(X_100,X_98))),
inference(subst,[],[refute_0_396:[bind(X_101,$fot(X_1)),bind(X_103,$fot(multiply(X_100,X_98))),bind(X_33,$fot(X_0))]]) ).
cnf(refute_0_626,plain,
( multiply(multiply(X_1,X_0),multiply(X_100,X_98)) != multiply(X_0,multiply(X_1,multiply(X_100,X_98)))
| multiply(multiply(X_1,X_0),multiply(X_100,X_98)) != multiply(X_100,multiply(X_98,multiply(X_0,X_1)))
| multiply(X_0,multiply(X_1,multiply(X_100,X_98))) = multiply(X_100,multiply(X_98,multiply(X_0,X_1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_1,X_0),multiply(X_100,X_98)),multiply(X_100,multiply(X_98,multiply(X_0,X_1)))) ),[0],$fot(multiply(X_0,multiply(X_1,multiply(X_100,X_98))))]]) ).
cnf(refute_0_627,plain,
( multiply(multiply(X_1,X_0),multiply(X_100,X_98)) != multiply(X_100,multiply(X_98,multiply(X_0,X_1)))
| multiply(X_0,multiply(X_1,multiply(X_100,X_98))) = multiply(X_100,multiply(X_98,multiply(X_0,X_1))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_1,X_0),multiply(X_100,X_98)),multiply(X_0,multiply(X_1,multiply(X_100,X_98)))) )],[refute_0_625,refute_0_626]) ).
cnf(refute_0_628,plain,
multiply(X_0,multiply(X_1,multiply(X_100,X_98))) = multiply(X_100,multiply(X_98,multiply(X_0,X_1))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_1,X_0),multiply(X_100,X_98)),multiply(X_100,multiply(X_98,multiply(X_0,X_1)))) )],[refute_0_624,refute_0_627]) ).
cnf(refute_0_629,plain,
( multiply(X_0,multiply(X_1,multiply(X_100,X_98))) != multiply(X_100,multiply(X_98,multiply(X_0,X_1)))
| multiply(X_100,multiply(X_98,multiply(X_0,X_1))) = multiply(X_0,multiply(X_1,multiply(X_100,X_98))) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(multiply(X_0,multiply(X_1,multiply(X_100,X_98))))),bind(Y0,$fot(multiply(X_100,multiply(X_98,multiply(X_0,X_1)))))]]) ).
cnf(refute_0_630,plain,
multiply(X_100,multiply(X_98,multiply(X_0,X_1))) = multiply(X_0,multiply(X_1,multiply(X_100,X_98))),
inference(resolve,[$cnf( $equal(multiply(X_0,multiply(X_1,multiply(X_100,X_98))),multiply(X_100,multiply(X_98,multiply(X_0,X_1)))) )],[refute_0_628,refute_0_629]) ).
cnf(refute_0_631,plain,
multiply(inverse(X_101),multiply(X,multiply(X_101,X_102))) = multiply(X_101,multiply(X_102,multiply(inverse(X_101),X))),
inference(subst,[],[refute_0_630:[bind(X_0,$fot(X_101)),bind(X_1,$fot(X_102)),bind(X_100,$fot(inverse(X_101))),bind(X_98,$fot(X))]]) ).
cnf(refute_0_632,plain,
( multiply(X_101,multiply(X_102,multiply(inverse(X_101),X))) != multiply(X_102,X)
| multiply(inverse(X_101),multiply(X,multiply(X_101,X_102))) != multiply(X_101,multiply(X_102,multiply(inverse(X_101),X)))
| multiply(inverse(X_101),multiply(X,multiply(X_101,X_102))) = multiply(X_102,X) ),
inference(subst,[],[refute_0_113:[bind(X0,$fot(multiply(inverse(X_101),multiply(X,multiply(X_101,X_102))))),bind(Y0,$fot(multiply(X_101,multiply(X_102,multiply(inverse(X_101),X))))),bind(Z0,$fot(multiply(X_102,X)))]]) ).
cnf(refute_0_633,plain,
( multiply(X_101,multiply(X_102,multiply(inverse(X_101),X))) != multiply(X_102,X)
| multiply(inverse(X_101),multiply(X,multiply(X_101,X_102))) = multiply(X_102,X) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_101),multiply(X,multiply(X_101,X_102))),multiply(X_101,multiply(X_102,multiply(inverse(X_101),X)))) )],[refute_0_631,refute_0_632]) ).
cnf(refute_0_634,plain,
multiply(inverse(X_101),multiply(X,multiply(X_101,X_102))) = multiply(X_102,X),
inference(resolve,[$cnf( $equal(multiply(X_101,multiply(X_102,multiply(inverse(X_101),X))),multiply(X_102,X)) )],[refute_0_495,refute_0_633]) ).
cnf(refute_0_635,plain,
multiply(Z,multiply(inverse(X_101),multiply(X,multiply(X_101,X_102)))) = multiply(Z,multiply(inverse(X_101),multiply(X,multiply(X_101,X_102)))),
introduced(tautology,[refl,[$fot(multiply(Z,multiply(inverse(X_101),multiply(X,multiply(X_101,X_102)))))]]) ).
cnf(refute_0_636,plain,
( multiply(Z,multiply(inverse(X_101),multiply(X,multiply(X_101,X_102)))) != multiply(Z,multiply(inverse(X_101),multiply(X,multiply(X_101,X_102))))
| multiply(inverse(X_101),multiply(X,multiply(X_101,X_102))) != multiply(X_102,X)
| multiply(Z,multiply(inverse(X_101),multiply(X,multiply(X_101,X_102)))) = multiply(Z,multiply(X_102,X)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Z,multiply(inverse(X_101),multiply(X,multiply(X_101,X_102)))),multiply(Z,multiply(inverse(X_101),multiply(X,multiply(X_101,X_102))))) ),[1,1],$fot(multiply(X_102,X))]]) ).
cnf(refute_0_637,plain,
( multiply(inverse(X_101),multiply(X,multiply(X_101,X_102))) != multiply(X_102,X)
| multiply(Z,multiply(inverse(X_101),multiply(X,multiply(X_101,X_102)))) = multiply(Z,multiply(X_102,X)) ),
inference(resolve,[$cnf( $equal(multiply(Z,multiply(inverse(X_101),multiply(X,multiply(X_101,X_102)))),multiply(Z,multiply(inverse(X_101),multiply(X,multiply(X_101,X_102))))) )],[refute_0_635,refute_0_636]) ).
cnf(refute_0_638,plain,
multiply(Z,multiply(inverse(X_101),multiply(X,multiply(X_101,X_102)))) = multiply(Z,multiply(X_102,X)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_101),multiply(X,multiply(X_101,X_102))),multiply(X_102,X)) )],[refute_0_634,refute_0_637]) ).
cnf(refute_0_639,plain,
( multiply(Z,multiply(inverse(X_101),multiply(X,multiply(X_101,X_102)))) != multiply(Z,multiply(X_102,X))
| multiply(X_102,multiply(X,Z)) != multiply(Z,multiply(inverse(X_101),multiply(X,multiply(X_101,X_102))))
| multiply(X_102,multiply(X,Z)) = multiply(Z,multiply(X_102,X)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_102,multiply(X,Z)),multiply(Z,multiply(inverse(X_101),multiply(X,multiply(X_101,X_102))))) ),[1],$fot(multiply(Z,multiply(X_102,X)))]]) ).
cnf(refute_0_640,plain,
( multiply(X_102,multiply(X,Z)) != multiply(Z,multiply(inverse(X_101),multiply(X,multiply(X_101,X_102))))
| multiply(X_102,multiply(X,Z)) = multiply(Z,multiply(X_102,X)) ),
inference(resolve,[$cnf( $equal(multiply(Z,multiply(inverse(X_101),multiply(X,multiply(X_101,X_102)))),multiply(Z,multiply(X_102,X))) )],[refute_0_638,refute_0_639]) ).
cnf(refute_0_641,plain,
multiply(X_102,multiply(X,Z)) = multiply(Z,multiply(X_102,X)),
inference(resolve,[$cnf( $equal(multiply(X_102,multiply(X,Z)),multiply(Z,multiply(inverse(X_101),multiply(X,multiply(X_101,X_102))))) )],[refute_0_469,refute_0_640]) ).
cnf(refute_0_642,plain,
multiply(inverse(multiply(X_117,multiply(X_118,X_116))),multiply(X_100,multiply(X_117,X_118))) = multiply(multiply(X_117,X_118),multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100)),
inference(subst,[],[refute_0_641:[bind(X,$fot(X_100)),bind(Z,$fot(multiply(X_117,X_118))),bind(X_102,$fot(inverse(multiply(X_117,multiply(X_118,X_116)))))]]) ).
cnf(refute_0_643,plain,
( multiply(multiply(X_117,X_118),multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100)) != multiply(X_118,multiply(X_117,multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100)))
| multiply(inverse(multiply(X_117,multiply(X_118,X_116))),multiply(X_100,multiply(X_117,X_118))) != multiply(multiply(X_117,X_118),multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100))
| multiply(inverse(multiply(X_117,multiply(X_118,X_116))),multiply(X_100,multiply(X_117,X_118))) = multiply(X_118,multiply(X_117,multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100))) ),
inference(subst,[],[refute_0_113:[bind(X0,$fot(multiply(inverse(multiply(X_117,multiply(X_118,X_116))),multiply(X_100,multiply(X_117,X_118))))),bind(Y0,$fot(multiply(multiply(X_117,X_118),multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100)))),bind(Z0,$fot(multiply(X_118,multiply(X_117,multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100)))))]]) ).
cnf(refute_0_644,plain,
( multiply(multiply(X_117,X_118),multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100)) != multiply(X_118,multiply(X_117,multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100)))
| multiply(inverse(multiply(X_117,multiply(X_118,X_116))),multiply(X_100,multiply(X_117,X_118))) = multiply(X_118,multiply(X_117,multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_117,multiply(X_118,X_116))),multiply(X_100,multiply(X_117,X_118))),multiply(multiply(X_117,X_118),multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100))) )],[refute_0_642,refute_0_643]) ).
cnf(refute_0_645,plain,
multiply(inverse(multiply(X_117,multiply(X_118,X_116))),multiply(X_100,multiply(X_117,X_118))) = multiply(X_118,multiply(X_117,multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_117,X_118),multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100)),multiply(X_118,multiply(X_117,multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100)))) )],[refute_0_397,refute_0_644]) ).
cnf(refute_0_646,plain,
( multiply(inverse(multiply(X_117,multiply(X_118,X_116))),multiply(X_100,multiply(X_117,X_118))) != multiply(X_100,inverse(X_116))
| multiply(inverse(multiply(X_117,multiply(X_118,X_116))),multiply(X_100,multiply(X_117,X_118))) != multiply(X_118,multiply(X_117,multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100)))
| multiply(X_118,multiply(X_117,multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100))) = multiply(X_100,inverse(X_116)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_117,multiply(X_118,X_116))),multiply(X_100,multiply(X_117,X_118))),multiply(X_100,inverse(X_116))) ),[0],$fot(multiply(X_118,multiply(X_117,multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100))))]]) ).
cnf(refute_0_647,plain,
( multiply(inverse(multiply(X_117,multiply(X_118,X_116))),multiply(X_100,multiply(X_117,X_118))) != multiply(X_100,inverse(X_116))
| multiply(X_118,multiply(X_117,multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100))) = multiply(X_100,inverse(X_116)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_117,multiply(X_118,X_116))),multiply(X_100,multiply(X_117,X_118))),multiply(X_118,multiply(X_117,multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100)))) )],[refute_0_645,refute_0_646]) ).
cnf(refute_0_648,plain,
multiply(X_118,multiply(X_117,multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100))) = multiply(X_100,inverse(X_116)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_117,multiply(X_118,X_116))),multiply(X_100,multiply(X_117,X_118))),multiply(X_100,inverse(X_116))) )],[refute_0_341,refute_0_647]) ).
cnf(refute_0_649,plain,
multiply(inverse(multiply(X_118,X_116)),multiply(inverse(X_116),multiply(X_98,multiply(X_118,X_116)))) = multiply(inverse(X_116),X_98),
inference(subst,[],[refute_0_336:[bind(Y,$fot(multiply(X_118,X_116))),bind(X_100,$fot(inverse(X_116)))]]) ).
cnf(refute_0_650,plain,
multiply(inverse(X_116),multiply(X_98,multiply(X_118,X_116))) = multiply(X_98,X_118),
inference(subst,[],[refute_0_336:[bind(Y,$fot(X_116)),bind(X_100,$fot(X_98)),bind(X_98,$fot(X_118))]]) ).
cnf(refute_0_651,plain,
( multiply(inverse(X_116),multiply(X_98,multiply(X_118,X_116))) != multiply(X_98,X_118)
| multiply(inverse(multiply(X_118,X_116)),multiply(inverse(X_116),multiply(X_98,multiply(X_118,X_116)))) != multiply(inverse(X_116),X_98)
| multiply(inverse(multiply(X_118,X_116)),multiply(X_98,X_118)) = multiply(inverse(X_116),X_98) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_118,X_116)),multiply(inverse(X_116),multiply(X_98,multiply(X_118,X_116)))),multiply(inverse(X_116),X_98)) ),[0,1],$fot(multiply(X_98,X_118))]]) ).
cnf(refute_0_652,plain,
( multiply(inverse(multiply(X_118,X_116)),multiply(inverse(X_116),multiply(X_98,multiply(X_118,X_116)))) != multiply(inverse(X_116),X_98)
| multiply(inverse(multiply(X_118,X_116)),multiply(X_98,X_118)) = multiply(inverse(X_116),X_98) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_116),multiply(X_98,multiply(X_118,X_116))),multiply(X_98,X_118)) )],[refute_0_650,refute_0_651]) ).
cnf(refute_0_653,plain,
multiply(inverse(multiply(X_118,X_116)),multiply(X_98,X_118)) = multiply(inverse(X_116),X_98),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_118,X_116)),multiply(inverse(X_116),multiply(X_98,multiply(X_118,X_116)))),multiply(inverse(X_116),X_98)) )],[refute_0_649,refute_0_652]) ).
cnf(refute_0_654,plain,
multiply(inverse(multiply(X_118,X_116)),multiply(X_98,X_118)) = multiply(X_118,multiply(inverse(multiply(X_118,X_116)),X_98)),
inference(subst,[],[refute_0_641:[bind(X,$fot(X_98)),bind(Z,$fot(X_118)),bind(X_102,$fot(inverse(multiply(X_118,X_116))))]]) ).
cnf(refute_0_655,plain,
( multiply(inverse(multiply(X_118,X_116)),multiply(X_98,X_118)) != multiply(X_118,multiply(inverse(multiply(X_118,X_116)),X_98))
| multiply(inverse(multiply(X_118,X_116)),multiply(X_98,X_118)) != multiply(inverse(X_116),X_98)
| multiply(X_118,multiply(inverse(multiply(X_118,X_116)),X_98)) = multiply(inverse(X_116),X_98) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_118,X_116)),multiply(X_98,X_118)),multiply(inverse(X_116),X_98)) ),[0],$fot(multiply(X_118,multiply(inverse(multiply(X_118,X_116)),X_98)))]]) ).
cnf(refute_0_656,plain,
( multiply(inverse(multiply(X_118,X_116)),multiply(X_98,X_118)) != multiply(inverse(X_116),X_98)
| multiply(X_118,multiply(inverse(multiply(X_118,X_116)),X_98)) = multiply(inverse(X_116),X_98) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_118,X_116)),multiply(X_98,X_118)),multiply(X_118,multiply(inverse(multiply(X_118,X_116)),X_98))) )],[refute_0_654,refute_0_655]) ).
cnf(refute_0_657,plain,
multiply(X_118,multiply(inverse(multiply(X_118,X_116)),X_98)) = multiply(inverse(X_116),X_98),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_118,X_116)),multiply(X_98,X_118)),multiply(inverse(X_116),X_98)) )],[refute_0_653,refute_0_656]) ).
cnf(refute_0_658,plain,
multiply(X_118,multiply(inverse(multiply(X_118,X_116)),X_100)) = multiply(inverse(X_116),X_100),
inference(subst,[],[refute_0_657:[bind(X_98,$fot(X_100))]]) ).
cnf(refute_0_659,plain,
multiply(X_117,multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100)) = multiply(inverse(multiply(X_118,X_116)),X_100),
inference(subst,[],[refute_0_657:[bind(X_116,$fot(multiply(X_118,X_116))),bind(X_118,$fot(X_117)),bind(X_98,$fot(X_100))]]) ).
cnf(refute_0_660,plain,
multiply(X_118,multiply(X_117,multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100))) = multiply(X_118,multiply(X_117,multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100))),
introduced(tautology,[refl,[$fot(multiply(X_118,multiply(X_117,multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100))))]]) ).
cnf(refute_0_661,plain,
( multiply(X_117,multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100)) != multiply(inverse(multiply(X_118,X_116)),X_100)
| multiply(X_118,multiply(X_117,multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100))) != multiply(X_118,multiply(X_117,multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100)))
| multiply(X_118,multiply(X_117,multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100))) = multiply(X_118,multiply(inverse(multiply(X_118,X_116)),X_100)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_118,multiply(X_117,multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100))),multiply(X_118,multiply(X_117,multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100)))) ),[1,1],$fot(multiply(inverse(multiply(X_118,X_116)),X_100))]]) ).
cnf(refute_0_662,plain,
( multiply(X_117,multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100)) != multiply(inverse(multiply(X_118,X_116)),X_100)
| multiply(X_118,multiply(X_117,multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100))) = multiply(X_118,multiply(inverse(multiply(X_118,X_116)),X_100)) ),
inference(resolve,[$cnf( $equal(multiply(X_118,multiply(X_117,multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100))),multiply(X_118,multiply(X_117,multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100)))) )],[refute_0_660,refute_0_661]) ).
cnf(refute_0_663,plain,
multiply(X_118,multiply(X_117,multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100))) = multiply(X_118,multiply(inverse(multiply(X_118,X_116)),X_100)),
inference(resolve,[$cnf( $equal(multiply(X_117,multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100)),multiply(inverse(multiply(X_118,X_116)),X_100)) )],[refute_0_659,refute_0_662]) ).
cnf(refute_0_664,plain,
( multiply(X_118,multiply(X_117,multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100))) != multiply(X_118,multiply(inverse(multiply(X_118,X_116)),X_100))
| multiply(X_118,multiply(inverse(multiply(X_118,X_116)),X_100)) != multiply(inverse(X_116),X_100)
| multiply(X_118,multiply(X_117,multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100))) = multiply(inverse(X_116),X_100) ),
inference(subst,[],[refute_0_113:[bind(X0,$fot(multiply(X_118,multiply(X_117,multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100))))),bind(Y0,$fot(multiply(X_118,multiply(inverse(multiply(X_118,X_116)),X_100)))),bind(Z0,$fot(multiply(inverse(X_116),X_100)))]]) ).
cnf(refute_0_665,plain,
( multiply(X_118,multiply(inverse(multiply(X_118,X_116)),X_100)) != multiply(inverse(X_116),X_100)
| multiply(X_118,multiply(X_117,multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100))) = multiply(inverse(X_116),X_100) ),
inference(resolve,[$cnf( $equal(multiply(X_118,multiply(X_117,multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100))),multiply(X_118,multiply(inverse(multiply(X_118,X_116)),X_100))) )],[refute_0_663,refute_0_664]) ).
cnf(refute_0_666,plain,
multiply(X_118,multiply(X_117,multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100))) = multiply(inverse(X_116),X_100),
inference(resolve,[$cnf( $equal(multiply(X_118,multiply(inverse(multiply(X_118,X_116)),X_100)),multiply(inverse(X_116),X_100)) )],[refute_0_658,refute_0_665]) ).
cnf(refute_0_667,plain,
( multiply(X_118,multiply(X_117,multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100))) != multiply(X_100,inverse(X_116))
| multiply(X_118,multiply(X_117,multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100))) != multiply(inverse(X_116),X_100)
| multiply(inverse(X_116),X_100) = multiply(X_100,inverse(X_116)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_118,multiply(X_117,multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100))),multiply(X_100,inverse(X_116))) ),[0],$fot(multiply(inverse(X_116),X_100))]]) ).
cnf(refute_0_668,plain,
( multiply(X_118,multiply(X_117,multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100))) != multiply(X_100,inverse(X_116))
| multiply(inverse(X_116),X_100) = multiply(X_100,inverse(X_116)) ),
inference(resolve,[$cnf( $equal(multiply(X_118,multiply(X_117,multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100))),multiply(inverse(X_116),X_100)) )],[refute_0_666,refute_0_667]) ).
cnf(refute_0_669,plain,
multiply(inverse(X_116),X_100) = multiply(X_100,inverse(X_116)),
inference(resolve,[$cnf( $equal(multiply(X_118,multiply(X_117,multiply(inverse(multiply(X_117,multiply(X_118,X_116))),X_100))),multiply(X_100,inverse(X_116))) )],[refute_0_648,refute_0_668]) ).
cnf(refute_0_670,plain,
multiply(inverse(a1),a1) = multiply(a1,inverse(a1)),
inference(subst,[],[refute_0_669:[bind(X_100,$fot(a1)),bind(X_116,$fot(a1))]]) ).
cnf(refute_0_671,plain,
( multiply(a1,inverse(a1)) != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) != multiply(a1,inverse(a1))
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(a1),a1),multiply(a1,inverse(a1))) ),[1],$fot(multiply(inverse(b1),b1))]]) ).
cnf(refute_0_672,plain,
( multiply(a1,inverse(a1)) != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(a1,inverse(a1))) )],[refute_0_670,refute_0_671]) ).
cnf(refute_0_673,plain,
multiply(inverse(b1),b1) = multiply(b1,inverse(b1)),
inference(subst,[],[refute_0_669:[bind(X_100,$fot(b1)),bind(X_116,$fot(b1))]]) ).
cnf(refute_0_674,plain,
( multiply(a1,inverse(a1)) != multiply(b1,inverse(b1))
| multiply(inverse(b1),b1) != multiply(b1,inverse(b1))
| multiply(a1,inverse(a1)) = multiply(inverse(b1),b1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a1,inverse(a1)),multiply(inverse(b1),b1)) ),[1],$fot(multiply(b1,inverse(b1)))]]) ).
cnf(refute_0_675,plain,
( multiply(a1,inverse(a1)) != multiply(b1,inverse(b1))
| multiply(a1,inverse(a1)) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(b1),b1),multiply(b1,inverse(b1))) )],[refute_0_673,refute_0_674]) ).
cnf(refute_0_676,plain,
( multiply(a1,inverse(a1)) != multiply(b1,inverse(b1))
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(a1,inverse(a1)),multiply(inverse(b1),b1)) )],[refute_0_675,refute_0_672]) ).
cnf(refute_0_677,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a1,inverse(a1)) != multiply(b1,inverse(b1))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) )],[refute_0_676,refute_0_256]) ).
cnf(refute_0_678,plain,
multiply(multiply(X_98,X_60),multiply(X_100,multiply(X_98,inverse(multiply(X_98,X_60))))) = multiply(X_100,X_98),
inference(subst,[],[refute_0_332:[bind(Y,$fot(X_98)),bind(X_61,$fot(multiply(X_98,X_60))),bind(X_62,$fot(X_100))]]) ).
cnf(refute_0_679,plain,
inverse(X_60) = multiply(X_98,inverse(multiply(X_98,X_60))),
inference(subst,[],[refute_0_379:[bind(X_33,$fot(X_98))]]) ).
cnf(refute_0_680,plain,
( inverse(X_60) != multiply(X_98,inverse(multiply(X_98,X_60)))
| multiply(X_98,inverse(multiply(X_98,X_60))) = inverse(X_60) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(inverse(X_60))),bind(Y0,$fot(multiply(X_98,inverse(multiply(X_98,X_60)))))]]) ).
cnf(refute_0_681,plain,
multiply(X_98,inverse(multiply(X_98,X_60))) = inverse(X_60),
inference(resolve,[$cnf( $equal(inverse(X_60),multiply(X_98,inverse(multiply(X_98,X_60)))) )],[refute_0_679,refute_0_680]) ).
cnf(refute_0_682,plain,
( multiply(X_98,inverse(multiply(X_98,X_60))) != inverse(X_60)
| multiply(multiply(X_98,X_60),multiply(X_100,multiply(X_98,inverse(multiply(X_98,X_60))))) != multiply(X_100,X_98)
| multiply(multiply(X_98,X_60),multiply(X_100,inverse(X_60))) = multiply(X_100,X_98) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_98,X_60),multiply(X_100,multiply(X_98,inverse(multiply(X_98,X_60))))),multiply(X_100,X_98)) ),[0,1,1],$fot(inverse(X_60))]]) ).
cnf(refute_0_683,plain,
( multiply(multiply(X_98,X_60),multiply(X_100,multiply(X_98,inverse(multiply(X_98,X_60))))) != multiply(X_100,X_98)
| multiply(multiply(X_98,X_60),multiply(X_100,inverse(X_60))) = multiply(X_100,X_98) ),
inference(resolve,[$cnf( $equal(multiply(X_98,inverse(multiply(X_98,X_60))),inverse(X_60)) )],[refute_0_681,refute_0_682]) ).
cnf(refute_0_684,plain,
multiply(multiply(X_98,X_60),multiply(X_100,inverse(X_60))) = multiply(X_100,X_98),
inference(resolve,[$cnf( $equal(multiply(multiply(X_98,X_60),multiply(X_100,multiply(X_98,inverse(multiply(X_98,X_60))))),multiply(X_100,X_98)) )],[refute_0_678,refute_0_683]) ).
cnf(refute_0_685,plain,
inverse(inverse(multiply(X_31,multiply(inverse(X_31),X_0)))) = multiply(X_31,multiply(inverse(X_31),X_0)),
inference(subst,[],[refute_0_262:[bind(Y,$fot(multiply(X_31,multiply(inverse(X_31),X_0))))]]) ).
cnf(refute_0_686,plain,
( inverse(multiply(X_31,multiply(inverse(X_31),X_0))) != inverse(X_0)
| inverse(inverse(multiply(X_31,multiply(inverse(X_31),X_0)))) != multiply(X_31,multiply(inverse(X_31),X_0))
| inverse(inverse(X_0)) = multiply(X_31,multiply(inverse(X_31),X_0)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(X_31,multiply(inverse(X_31),X_0)))),multiply(X_31,multiply(inverse(X_31),X_0))) ),[0,0],$fot(inverse(X_0))]]) ).
cnf(refute_0_687,plain,
( inverse(inverse(multiply(X_31,multiply(inverse(X_31),X_0)))) != multiply(X_31,multiply(inverse(X_31),X_0))
| inverse(inverse(X_0)) = multiply(X_31,multiply(inverse(X_31),X_0)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_31,multiply(inverse(X_31),X_0))),inverse(X_0)) )],[refute_0_214,refute_0_686]) ).
cnf(refute_0_688,plain,
inverse(inverse(X_0)) = multiply(X_31,multiply(inverse(X_31),X_0)),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_31,multiply(inverse(X_31),X_0)))),multiply(X_31,multiply(inverse(X_31),X_0))) )],[refute_0_685,refute_0_687]) ).
cnf(refute_0_689,plain,
( inverse(inverse(X_0)) != X_0
| inverse(inverse(X_0)) != multiply(X_31,multiply(inverse(X_31),X_0))
| X_0 = multiply(X_31,multiply(inverse(X_31),X_0)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_0)),multiply(X_31,multiply(inverse(X_31),X_0))) ),[0],$fot(X_0)]]) ).
cnf(refute_0_690,plain,
( inverse(inverse(X_0)) != multiply(X_31,multiply(inverse(X_31),X_0))
| X_0 = multiply(X_31,multiply(inverse(X_31),X_0)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_0)),X_0) )],[refute_0_592,refute_0_689]) ).
cnf(refute_0_691,plain,
X_0 = multiply(X_31,multiply(inverse(X_31),X_0)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_0)),multiply(X_31,multiply(inverse(X_31),X_0))) )],[refute_0_688,refute_0_690]) ).
cnf(refute_0_692,plain,
multiply(X_100,multiply(X_98,inverse(inverse(X_31)))) = multiply(X_31,multiply(inverse(X_31),multiply(X_100,multiply(X_98,inverse(inverse(X_31)))))),
inference(subst,[],[refute_0_691:[bind(X_0,$fot(multiply(X_100,multiply(X_98,inverse(inverse(X_31))))))]]) ).
cnf(refute_0_693,plain,
multiply(inverse(X_31),multiply(X_100,multiply(X_98,inverse(inverse(X_31))))) = multiply(X_100,X_98),
inference(subst,[],[refute_0_332:[bind(Y,$fot(X_98)),bind(X_61,$fot(inverse(X_31))),bind(X_62,$fot(X_100))]]) ).
cnf(refute_0_694,plain,
( multiply(X_100,multiply(X_98,inverse(inverse(X_31)))) != multiply(X_31,multiply(inverse(X_31),multiply(X_100,multiply(X_98,inverse(inverse(X_31))))))
| multiply(inverse(X_31),multiply(X_100,multiply(X_98,inverse(inverse(X_31))))) != multiply(X_100,X_98)
| multiply(X_100,multiply(X_98,inverse(inverse(X_31)))) = multiply(X_31,multiply(X_100,X_98)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_100,multiply(X_98,inverse(inverse(X_31)))),multiply(X_31,multiply(inverse(X_31),multiply(X_100,multiply(X_98,inverse(inverse(X_31))))))) ),[1,1],$fot(multiply(X_100,X_98))]]) ).
cnf(refute_0_695,plain,
( multiply(X_100,multiply(X_98,inverse(inverse(X_31)))) != multiply(X_31,multiply(inverse(X_31),multiply(X_100,multiply(X_98,inverse(inverse(X_31))))))
| multiply(X_100,multiply(X_98,inverse(inverse(X_31)))) = multiply(X_31,multiply(X_100,X_98)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_31),multiply(X_100,multiply(X_98,inverse(inverse(X_31))))),multiply(X_100,X_98)) )],[refute_0_693,refute_0_694]) ).
cnf(refute_0_696,plain,
multiply(X_100,multiply(X_98,inverse(inverse(X_31)))) = multiply(X_31,multiply(X_100,X_98)),
inference(resolve,[$cnf( $equal(multiply(X_100,multiply(X_98,inverse(inverse(X_31)))),multiply(X_31,multiply(inverse(X_31),multiply(X_100,multiply(X_98,inverse(inverse(X_31))))))) )],[refute_0_692,refute_0_695]) ).
cnf(refute_0_697,plain,
inverse(inverse(X_31)) = X_31,
inference(subst,[],[refute_0_262:[bind(Y,$fot(X_31))]]) ).
cnf(refute_0_698,plain,
multiply(X_98,inverse(inverse(X_31))) = multiply(X_98,inverse(inverse(X_31))),
introduced(tautology,[refl,[$fot(multiply(X_98,inverse(inverse(X_31))))]]) ).
cnf(refute_0_699,plain,
( multiply(X_98,inverse(inverse(X_31))) != multiply(X_98,inverse(inverse(X_31)))
| inverse(inverse(X_31)) != X_31
| multiply(X_98,inverse(inverse(X_31))) = multiply(X_98,X_31) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_98,inverse(inverse(X_31))),multiply(X_98,inverse(inverse(X_31)))) ),[1,1],$fot(X_31)]]) ).
cnf(refute_0_700,plain,
( inverse(inverse(X_31)) != X_31
| multiply(X_98,inverse(inverse(X_31))) = multiply(X_98,X_31) ),
inference(resolve,[$cnf( $equal(multiply(X_98,inverse(inverse(X_31))),multiply(X_98,inverse(inverse(X_31)))) )],[refute_0_698,refute_0_699]) ).
cnf(refute_0_701,plain,
multiply(X_98,inverse(inverse(X_31))) = multiply(X_98,X_31),
inference(resolve,[$cnf( $equal(inverse(inverse(X_31)),X_31) )],[refute_0_697,refute_0_700]) ).
cnf(refute_0_702,plain,
multiply(X_100,multiply(X_98,inverse(inverse(X_31)))) = multiply(X_100,multiply(X_98,inverse(inverse(X_31)))),
introduced(tautology,[refl,[$fot(multiply(X_100,multiply(X_98,inverse(inverse(X_31)))))]]) ).
cnf(refute_0_703,plain,
( multiply(X_100,multiply(X_98,inverse(inverse(X_31)))) != multiply(X_100,multiply(X_98,inverse(inverse(X_31))))
| multiply(X_98,inverse(inverse(X_31))) != multiply(X_98,X_31)
| multiply(X_100,multiply(X_98,inverse(inverse(X_31)))) = multiply(X_100,multiply(X_98,X_31)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_100,multiply(X_98,inverse(inverse(X_31)))),multiply(X_100,multiply(X_98,inverse(inverse(X_31))))) ),[1,1],$fot(multiply(X_98,X_31))]]) ).
cnf(refute_0_704,plain,
( multiply(X_98,inverse(inverse(X_31))) != multiply(X_98,X_31)
| multiply(X_100,multiply(X_98,inverse(inverse(X_31)))) = multiply(X_100,multiply(X_98,X_31)) ),
inference(resolve,[$cnf( $equal(multiply(X_100,multiply(X_98,inverse(inverse(X_31)))),multiply(X_100,multiply(X_98,inverse(inverse(X_31))))) )],[refute_0_702,refute_0_703]) ).
cnf(refute_0_705,plain,
multiply(X_100,multiply(X_98,inverse(inverse(X_31)))) = multiply(X_100,multiply(X_98,X_31)),
inference(resolve,[$cnf( $equal(multiply(X_98,inverse(inverse(X_31))),multiply(X_98,X_31)) )],[refute_0_701,refute_0_704]) ).
cnf(refute_0_706,plain,
( multiply(X_100,multiply(X_98,inverse(inverse(X_31)))) != multiply(X_100,multiply(X_98,X_31))
| multiply(X_100,multiply(X_98,inverse(inverse(X_31)))) != multiply(X_31,multiply(X_100,X_98))
| multiply(X_100,multiply(X_98,X_31)) = multiply(X_31,multiply(X_100,X_98)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_100,multiply(X_98,inverse(inverse(X_31)))),multiply(X_31,multiply(X_100,X_98))) ),[0],$fot(multiply(X_100,multiply(X_98,X_31)))]]) ).
cnf(refute_0_707,plain,
( multiply(X_100,multiply(X_98,inverse(inverse(X_31)))) != multiply(X_31,multiply(X_100,X_98))
| multiply(X_100,multiply(X_98,X_31)) = multiply(X_31,multiply(X_100,X_98)) ),
inference(resolve,[$cnf( $equal(multiply(X_100,multiply(X_98,inverse(inverse(X_31)))),multiply(X_100,multiply(X_98,X_31))) )],[refute_0_705,refute_0_706]) ).
cnf(refute_0_708,plain,
multiply(X_100,multiply(X_98,X_31)) = multiply(X_31,multiply(X_100,X_98)),
inference(resolve,[$cnf( $equal(multiply(X_100,multiply(X_98,inverse(inverse(X_31)))),multiply(X_31,multiply(X_100,X_98))) )],[refute_0_696,refute_0_707]) ).
cnf(refute_0_709,plain,
multiply(multiply(X_98,X_60),multiply(X_100,inverse(X_60))) = multiply(inverse(X_60),multiply(multiply(X_98,X_60),X_100)),
inference(subst,[],[refute_0_708:[bind(X_100,$fot(multiply(X_98,X_60))),bind(X_31,$fot(inverse(X_60))),bind(X_98,$fot(X_100))]]) ).
cnf(refute_0_710,plain,
( multiply(multiply(X_98,X_60),multiply(X_100,inverse(X_60))) != multiply(X_100,X_98)
| multiply(multiply(X_98,X_60),multiply(X_100,inverse(X_60))) != multiply(inverse(X_60),multiply(multiply(X_98,X_60),X_100))
| multiply(inverse(X_60),multiply(multiply(X_98,X_60),X_100)) = multiply(X_100,X_98) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_98,X_60),multiply(X_100,inverse(X_60))),multiply(X_100,X_98)) ),[0],$fot(multiply(inverse(X_60),multiply(multiply(X_98,X_60),X_100)))]]) ).
cnf(refute_0_711,plain,
( multiply(multiply(X_98,X_60),multiply(X_100,inverse(X_60))) != multiply(X_100,X_98)
| multiply(inverse(X_60),multiply(multiply(X_98,X_60),X_100)) = multiply(X_100,X_98) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_98,X_60),multiply(X_100,inverse(X_60))),multiply(inverse(X_60),multiply(multiply(X_98,X_60),X_100))) )],[refute_0_709,refute_0_710]) ).
cnf(refute_0_712,plain,
multiply(inverse(X_60),multiply(multiply(X_98,X_60),X_100)) = multiply(X_100,X_98),
inference(resolve,[$cnf( $equal(multiply(multiply(X_98,X_60),multiply(X_100,inverse(X_60))),multiply(X_100,X_98)) )],[refute_0_684,refute_0_711]) ).
cnf(refute_0_713,plain,
multiply(X_60,multiply(multiply(X_98,X_100),inverse(X_60))) = multiply(X_98,X_100),
inference(subst,[],[refute_0_130:[bind(Y,$fot(multiply(X_98,X_100))),bind(X_3,$fot(X_60))]]) ).
cnf(refute_0_714,plain,
( multiply(X_100,multiply(X_98,X_31)) != multiply(X_31,multiply(X_100,X_98))
| multiply(X_31,multiply(X_100,X_98)) = multiply(X_100,multiply(X_98,X_31)) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(multiply(X_100,multiply(X_98,X_31)))),bind(Y0,$fot(multiply(X_31,multiply(X_100,X_98))))]]) ).
cnf(refute_0_715,plain,
multiply(X_31,multiply(X_100,X_98)) = multiply(X_100,multiply(X_98,X_31)),
inference(resolve,[$cnf( $equal(multiply(X_100,multiply(X_98,X_31)),multiply(X_31,multiply(X_100,X_98))) )],[refute_0_708,refute_0_714]) ).
cnf(refute_0_716,plain,
multiply(inverse(X_60),multiply(X_60,multiply(X_98,X_100))) = multiply(X_60,multiply(multiply(X_98,X_100),inverse(X_60))),
inference(subst,[],[refute_0_715:[bind(X_100,$fot(X_60)),bind(X_31,$fot(inverse(X_60))),bind(X_98,$fot(multiply(X_98,X_100)))]]) ).
cnf(refute_0_717,plain,
( multiply(X_60,multiply(multiply(X_98,X_100),inverse(X_60))) != multiply(X_98,X_100)
| multiply(inverse(X_60),multiply(X_60,multiply(X_98,X_100))) != multiply(X_60,multiply(multiply(X_98,X_100),inverse(X_60)))
| multiply(inverse(X_60),multiply(X_60,multiply(X_98,X_100))) = multiply(X_98,X_100) ),
inference(subst,[],[refute_0_113:[bind(X0,$fot(multiply(inverse(X_60),multiply(X_60,multiply(X_98,X_100))))),bind(Y0,$fot(multiply(X_60,multiply(multiply(X_98,X_100),inverse(X_60))))),bind(Z0,$fot(multiply(X_98,X_100)))]]) ).
cnf(refute_0_718,plain,
( multiply(X_60,multiply(multiply(X_98,X_100),inverse(X_60))) != multiply(X_98,X_100)
| multiply(inverse(X_60),multiply(X_60,multiply(X_98,X_100))) = multiply(X_98,X_100) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_60),multiply(X_60,multiply(X_98,X_100))),multiply(X_60,multiply(multiply(X_98,X_100),inverse(X_60)))) )],[refute_0_716,refute_0_717]) ).
cnf(refute_0_719,plain,
multiply(inverse(X_60),multiply(X_60,multiply(X_98,X_100))) = multiply(X_98,X_100),
inference(resolve,[$cnf( $equal(multiply(X_60,multiply(multiply(X_98,X_100),inverse(X_60))),multiply(X_98,X_100)) )],[refute_0_713,refute_0_718]) ).
cnf(refute_0_720,plain,
multiply(multiply(X_98,X_60),X_100) = multiply(X_60,multiply(X_98,X_100)),
inference(subst,[],[refute_0_396:[bind(X_101,$fot(X_98)),bind(X_103,$fot(X_100)),bind(X_33,$fot(X_60))]]) ).
cnf(refute_0_721,plain,
multiply(inverse(X_60),multiply(multiply(X_98,X_60),X_100)) = multiply(inverse(X_60),multiply(multiply(X_98,X_60),X_100)),
introduced(tautology,[refl,[$fot(multiply(inverse(X_60),multiply(multiply(X_98,X_60),X_100)))]]) ).
cnf(refute_0_722,plain,
( multiply(multiply(X_98,X_60),X_100) != multiply(X_60,multiply(X_98,X_100))
| multiply(inverse(X_60),multiply(multiply(X_98,X_60),X_100)) != multiply(inverse(X_60),multiply(multiply(X_98,X_60),X_100))
| multiply(inverse(X_60),multiply(multiply(X_98,X_60),X_100)) = multiply(inverse(X_60),multiply(X_60,multiply(X_98,X_100))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_60),multiply(multiply(X_98,X_60),X_100)),multiply(inverse(X_60),multiply(multiply(X_98,X_60),X_100))) ),[1,1],$fot(multiply(X_60,multiply(X_98,X_100)))]]) ).
cnf(refute_0_723,plain,
( multiply(multiply(X_98,X_60),X_100) != multiply(X_60,multiply(X_98,X_100))
| multiply(inverse(X_60),multiply(multiply(X_98,X_60),X_100)) = multiply(inverse(X_60),multiply(X_60,multiply(X_98,X_100))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_60),multiply(multiply(X_98,X_60),X_100)),multiply(inverse(X_60),multiply(multiply(X_98,X_60),X_100))) )],[refute_0_721,refute_0_722]) ).
cnf(refute_0_724,plain,
multiply(inverse(X_60),multiply(multiply(X_98,X_60),X_100)) = multiply(inverse(X_60),multiply(X_60,multiply(X_98,X_100))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_98,X_60),X_100),multiply(X_60,multiply(X_98,X_100))) )],[refute_0_720,refute_0_723]) ).
cnf(refute_0_725,plain,
( multiply(inverse(X_60),multiply(X_60,multiply(X_98,X_100))) != multiply(X_98,X_100)
| multiply(inverse(X_60),multiply(multiply(X_98,X_60),X_100)) != multiply(inverse(X_60),multiply(X_60,multiply(X_98,X_100)))
| multiply(inverse(X_60),multiply(multiply(X_98,X_60),X_100)) = multiply(X_98,X_100) ),
inference(subst,[],[refute_0_113:[bind(X0,$fot(multiply(inverse(X_60),multiply(multiply(X_98,X_60),X_100)))),bind(Y0,$fot(multiply(inverse(X_60),multiply(X_60,multiply(X_98,X_100))))),bind(Z0,$fot(multiply(X_98,X_100)))]]) ).
cnf(refute_0_726,plain,
( multiply(inverse(X_60),multiply(X_60,multiply(X_98,X_100))) != multiply(X_98,X_100)
| multiply(inverse(X_60),multiply(multiply(X_98,X_60),X_100)) = multiply(X_98,X_100) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_60),multiply(multiply(X_98,X_60),X_100)),multiply(inverse(X_60),multiply(X_60,multiply(X_98,X_100)))) )],[refute_0_724,refute_0_725]) ).
cnf(refute_0_727,plain,
multiply(inverse(X_60),multiply(multiply(X_98,X_60),X_100)) = multiply(X_98,X_100),
inference(resolve,[$cnf( $equal(multiply(inverse(X_60),multiply(X_60,multiply(X_98,X_100))),multiply(X_98,X_100)) )],[refute_0_719,refute_0_726]) ).
cnf(refute_0_728,plain,
( multiply(inverse(X_60),multiply(multiply(X_98,X_60),X_100)) != multiply(X_100,X_98)
| multiply(inverse(X_60),multiply(multiply(X_98,X_60),X_100)) != multiply(X_98,X_100)
| multiply(X_98,X_100) = multiply(X_100,X_98) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_60),multiply(multiply(X_98,X_60),X_100)),multiply(X_100,X_98)) ),[0],$fot(multiply(X_98,X_100))]]) ).
cnf(refute_0_729,plain,
( multiply(inverse(X_60),multiply(multiply(X_98,X_60),X_100)) != multiply(X_100,X_98)
| multiply(X_98,X_100) = multiply(X_100,X_98) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_60),multiply(multiply(X_98,X_60),X_100)),multiply(X_98,X_100)) )],[refute_0_727,refute_0_728]) ).
cnf(refute_0_730,plain,
multiply(X_98,X_100) = multiply(X_100,X_98),
inference(resolve,[$cnf( $equal(multiply(inverse(X_60),multiply(multiply(X_98,X_60),X_100)),multiply(X_100,X_98)) )],[refute_0_712,refute_0_729]) ).
cnf(refute_0_731,plain,
( multiply(X_98,X_100) != multiply(X_100,X_98)
| multiply(X_100,X_98) = multiply(X_98,X_100) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(multiply(X_98,X_100))),bind(Y0,$fot(multiply(X_100,X_98)))]]) ).
cnf(refute_0_732,plain,
multiply(X_100,X_98) = multiply(X_98,X_100),
inference(resolve,[$cnf( $equal(multiply(X_98,X_100),multiply(X_100,X_98)) )],[refute_0_730,refute_0_731]) ).
cnf(refute_0_733,plain,
multiply(b4,a4) = multiply(a4,b4),
inference(subst,[],[refute_0_732:[bind(X_100,$fot(b4)),bind(X_98,$fot(a4))]]) ).
cnf(refute_0_734,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(b4,a4) != multiply(a4,b4)
| multiply(a4,b4) = multiply(b4,a4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a4,b4),multiply(b4,a4)) ),[1],$fot(multiply(a4,b4))]]) ).
cnf(refute_0_735,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(a4,b4) = multiply(b4,a4) ),
inference(resolve,[$cnf( $equal(multiply(b4,a4),multiply(a4,b4)) )],[refute_0_733,refute_0_734]) ).
cnf(refute_0_736,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a1,inverse(a1)) != multiply(b1,inverse(b1))
| multiply(a4,b4) != multiply(a4,b4) ),
inference(resolve,[$cnf( $equal(multiply(a4,b4),multiply(b4,a4)) )],[refute_0_735,refute_0_677]) ).
cnf(refute_0_737,plain,
inverse(multiply(inverse(X_62),inverse(multiply(X_113,X_114)))) = multiply(X_62,inverse(inverse(multiply(X_113,X_114)))),
inference(subst,[],[refute_0_316:[bind(X_60,$fot(inverse(multiply(X_113,X_114))))]]) ).
cnf(refute_0_738,plain,
multiply(inverse(X_0),inverse(multiply(X_89,inverse(X_90)))) = inverse(multiply(X_0,multiply(X_89,inverse(X_90)))),
inference(subst,[],[refute_0_155:[bind(X_1,$fot(multiply(X_89,inverse(X_90))))]]) ).
cnf(refute_0_739,plain,
inverse(multiply(X_89,inverse(X_90))) = multiply(X_90,inverse(X_89)),
inference(subst,[],[refute_0_57:[bind(X_0,$fot(X_89)),bind(X_3,$fot(X_90))]]) ).
cnf(refute_0_740,plain,
( multiply(inverse(X_0),inverse(multiply(X_89,inverse(X_90)))) != inverse(multiply(X_0,multiply(X_89,inverse(X_90))))
| inverse(multiply(X_89,inverse(X_90))) != multiply(X_90,inverse(X_89))
| multiply(inverse(X_0),multiply(X_90,inverse(X_89))) = inverse(multiply(X_0,multiply(X_89,inverse(X_90)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_0),inverse(multiply(X_89,inverse(X_90)))),inverse(multiply(X_0,multiply(X_89,inverse(X_90))))) ),[0,1],$fot(multiply(X_90,inverse(X_89)))]]) ).
cnf(refute_0_741,plain,
( multiply(inverse(X_0),inverse(multiply(X_89,inverse(X_90)))) != inverse(multiply(X_0,multiply(X_89,inverse(X_90))))
| multiply(inverse(X_0),multiply(X_90,inverse(X_89))) = inverse(multiply(X_0,multiply(X_89,inverse(X_90)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_89,inverse(X_90))),multiply(X_90,inverse(X_89))) )],[refute_0_739,refute_0_740]) ).
cnf(refute_0_742,plain,
multiply(inverse(X_0),multiply(X_90,inverse(X_89))) = inverse(multiply(X_0,multiply(X_89,inverse(X_90)))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_0),inverse(multiply(X_89,inverse(X_90)))),inverse(multiply(X_0,multiply(X_89,inverse(X_90))))) )],[refute_0_738,refute_0_741]) ).
cnf(refute_0_743,plain,
multiply(multiply(X_62,inverse(X_0)),inverse(Y)) = multiply(inverse(X_0),multiply(X_62,inverse(Y))),
inference(subst,[],[refute_0_300:[bind(Y,$fot(inverse(X_0))),bind(X_0,$fot(X_62)),bind(X_60,$fot(Y))]]) ).
cnf(refute_0_744,plain,
( multiply(multiply(X_62,inverse(X_0)),inverse(Y)) != multiply(X_62,inverse(multiply(X_0,Y)))
| multiply(multiply(X_62,inverse(X_0)),inverse(Y)) != multiply(inverse(X_0),multiply(X_62,inverse(Y)))
| multiply(inverse(X_0),multiply(X_62,inverse(Y))) = multiply(X_62,inverse(multiply(X_0,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_62,inverse(X_0)),inverse(Y)),multiply(X_62,inverse(multiply(X_0,Y)))) ),[0],$fot(multiply(inverse(X_0),multiply(X_62,inverse(Y))))]]) ).
cnf(refute_0_745,plain,
( multiply(multiply(X_62,inverse(X_0)),inverse(Y)) != multiply(X_62,inverse(multiply(X_0,Y)))
| multiply(inverse(X_0),multiply(X_62,inverse(Y))) = multiply(X_62,inverse(multiply(X_0,Y))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_62,inverse(X_0)),inverse(Y)),multiply(inverse(X_0),multiply(X_62,inverse(Y)))) )],[refute_0_743,refute_0_744]) ).
cnf(refute_0_746,plain,
multiply(inverse(X_0),multiply(X_62,inverse(Y))) = multiply(X_62,inverse(multiply(X_0,Y))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_62,inverse(X_0)),inverse(Y)),multiply(X_62,inverse(multiply(X_0,Y)))) )],[refute_0_374,refute_0_745]) ).
cnf(refute_0_747,plain,
multiply(inverse(X_0),multiply(X_90,inverse(X_89))) = multiply(X_90,inverse(multiply(X_0,X_89))),
inference(subst,[],[refute_0_746:[bind(Y,$fot(X_89)),bind(X_62,$fot(X_90))]]) ).
cnf(refute_0_748,plain,
( multiply(inverse(X_0),multiply(X_90,inverse(X_89))) != multiply(X_90,inverse(multiply(X_0,X_89)))
| multiply(inverse(X_0),multiply(X_90,inverse(X_89))) != inverse(multiply(X_0,multiply(X_89,inverse(X_90))))
| multiply(X_90,inverse(multiply(X_0,X_89))) = inverse(multiply(X_0,multiply(X_89,inverse(X_90)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_0),multiply(X_90,inverse(X_89))),inverse(multiply(X_0,multiply(X_89,inverse(X_90))))) ),[0],$fot(multiply(X_90,inverse(multiply(X_0,X_89))))]]) ).
cnf(refute_0_749,plain,
( multiply(inverse(X_0),multiply(X_90,inverse(X_89))) != inverse(multiply(X_0,multiply(X_89,inverse(X_90))))
| multiply(X_90,inverse(multiply(X_0,X_89))) = inverse(multiply(X_0,multiply(X_89,inverse(X_90)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_0),multiply(X_90,inverse(X_89))),multiply(X_90,inverse(multiply(X_0,X_89)))) )],[refute_0_747,refute_0_748]) ).
cnf(refute_0_750,plain,
inverse(multiply(X_0,inverse(multiply(X_89,inverse(X_90))))) = multiply(multiply(X_89,inverse(X_90)),inverse(X_0)),
inference(subst,[],[refute_0_57:[bind(X_3,$fot(multiply(X_89,inverse(X_90))))]]) ).
cnf(refute_0_751,plain,
( inverse(multiply(X_0,inverse(multiply(X_89,inverse(X_90))))) != multiply(multiply(X_89,inverse(X_90)),inverse(X_0))
| inverse(multiply(X_89,inverse(X_90))) != multiply(X_90,inverse(X_89))
| inverse(multiply(X_0,multiply(X_90,inverse(X_89)))) = multiply(multiply(X_89,inverse(X_90)),inverse(X_0)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_0,inverse(multiply(X_89,inverse(X_90))))),multiply(multiply(X_89,inverse(X_90)),inverse(X_0))) ),[0,0,1],$fot(multiply(X_90,inverse(X_89)))]]) ).
cnf(refute_0_752,plain,
( inverse(multiply(X_0,inverse(multiply(X_89,inverse(X_90))))) != multiply(multiply(X_89,inverse(X_90)),inverse(X_0))
| inverse(multiply(X_0,multiply(X_90,inverse(X_89)))) = multiply(multiply(X_89,inverse(X_90)),inverse(X_0)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_89,inverse(X_90))),multiply(X_90,inverse(X_89))) )],[refute_0_739,refute_0_751]) ).
cnf(refute_0_753,plain,
inverse(multiply(X_0,multiply(X_90,inverse(X_89)))) = multiply(multiply(X_89,inverse(X_90)),inverse(X_0)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_0,inverse(multiply(X_89,inverse(X_90))))),multiply(multiply(X_89,inverse(X_90)),inverse(X_0))) )],[refute_0_750,refute_0_752]) ).
cnf(refute_0_754,plain,
multiply(inverse(X_90),multiply(X_89,inverse(X_0))) = multiply(X_89,inverse(multiply(X_90,X_0))),
inference(subst,[],[refute_0_746:[bind(Y,$fot(X_0)),bind(X_0,$fot(X_90)),bind(X_62,$fot(X_89))]]) ).
cnf(refute_0_755,plain,
multiply(multiply(X_89,inverse(X_90)),inverse(X_0)) = multiply(inverse(X_90),multiply(X_89,inverse(X_0))),
inference(subst,[],[refute_0_300:[bind(Y,$fot(inverse(X_90))),bind(X_0,$fot(X_89)),bind(X_60,$fot(X_0))]]) ).
cnf(refute_0_756,plain,
( multiply(multiply(X_89,inverse(X_90)),inverse(X_0)) != multiply(inverse(X_90),multiply(X_89,inverse(X_0)))
| multiply(inverse(X_90),multiply(X_89,inverse(X_0))) != multiply(X_89,inverse(multiply(X_90,X_0)))
| multiply(multiply(X_89,inverse(X_90)),inverse(X_0)) = multiply(X_89,inverse(multiply(X_90,X_0))) ),
inference(subst,[],[refute_0_113:[bind(X0,$fot(multiply(multiply(X_89,inverse(X_90)),inverse(X_0)))),bind(Y0,$fot(multiply(inverse(X_90),multiply(X_89,inverse(X_0))))),bind(Z0,$fot(multiply(X_89,inverse(multiply(X_90,X_0)))))]]) ).
cnf(refute_0_757,plain,
( multiply(inverse(X_90),multiply(X_89,inverse(X_0))) != multiply(X_89,inverse(multiply(X_90,X_0)))
| multiply(multiply(X_89,inverse(X_90)),inverse(X_0)) = multiply(X_89,inverse(multiply(X_90,X_0))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_89,inverse(X_90)),inverse(X_0)),multiply(inverse(X_90),multiply(X_89,inverse(X_0)))) )],[refute_0_755,refute_0_756]) ).
cnf(refute_0_758,plain,
multiply(multiply(X_89,inverse(X_90)),inverse(X_0)) = multiply(X_89,inverse(multiply(X_90,X_0))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_90),multiply(X_89,inverse(X_0))),multiply(X_89,inverse(multiply(X_90,X_0)))) )],[refute_0_754,refute_0_757]) ).
cnf(refute_0_759,plain,
( multiply(multiply(X_89,inverse(X_90)),inverse(X_0)) != multiply(X_89,inverse(multiply(X_90,X_0)))
| inverse(multiply(X_0,multiply(X_90,inverse(X_89)))) != multiply(multiply(X_89,inverse(X_90)),inverse(X_0))
| inverse(multiply(X_0,multiply(X_90,inverse(X_89)))) = multiply(X_89,inverse(multiply(X_90,X_0))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_0,multiply(X_90,inverse(X_89)))),multiply(multiply(X_89,inverse(X_90)),inverse(X_0))) ),[1],$fot(multiply(X_89,inverse(multiply(X_90,X_0))))]]) ).
cnf(refute_0_760,plain,
( inverse(multiply(X_0,multiply(X_90,inverse(X_89)))) != multiply(multiply(X_89,inverse(X_90)),inverse(X_0))
| inverse(multiply(X_0,multiply(X_90,inverse(X_89)))) = multiply(X_89,inverse(multiply(X_90,X_0))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_89,inverse(X_90)),inverse(X_0)),multiply(X_89,inverse(multiply(X_90,X_0)))) )],[refute_0_758,refute_0_759]) ).
cnf(refute_0_761,plain,
inverse(multiply(X_0,multiply(X_90,inverse(X_89)))) = multiply(X_89,inverse(multiply(X_90,X_0))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_0,multiply(X_90,inverse(X_89)))),multiply(multiply(X_89,inverse(X_90)),inverse(X_0))) )],[refute_0_753,refute_0_760]) ).
cnf(refute_0_762,plain,
inverse(multiply(X_0,multiply(X_89,inverse(X_90)))) = multiply(X_90,inverse(multiply(X_89,X_0))),
inference(subst,[],[refute_0_761:[bind(X_89,$fot(X_90)),bind(X_90,$fot(X_89))]]) ).
cnf(refute_0_763,plain,
( multiply(X_90,inverse(multiply(X_0,X_89))) != inverse(multiply(X_0,multiply(X_89,inverse(X_90))))
| inverse(multiply(X_0,multiply(X_89,inverse(X_90)))) != multiply(X_90,inverse(multiply(X_89,X_0)))
| multiply(X_90,inverse(multiply(X_0,X_89))) = multiply(X_90,inverse(multiply(X_89,X_0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_90,inverse(multiply(X_0,X_89))),multiply(X_90,inverse(multiply(X_89,X_0)))) ),[0],$fot(inverse(multiply(X_0,multiply(X_89,inverse(X_90)))))]]) ).
cnf(refute_0_764,plain,
( multiply(X_90,inverse(multiply(X_0,X_89))) != inverse(multiply(X_0,multiply(X_89,inverse(X_90))))
| multiply(X_90,inverse(multiply(X_0,X_89))) = multiply(X_90,inverse(multiply(X_89,X_0))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_0,multiply(X_89,inverse(X_90)))),multiply(X_90,inverse(multiply(X_89,X_0)))) )],[refute_0_762,refute_0_763]) ).
cnf(refute_0_765,plain,
( multiply(inverse(X_0),multiply(X_90,inverse(X_89))) != inverse(multiply(X_0,multiply(X_89,inverse(X_90))))
| multiply(X_90,inverse(multiply(X_0,X_89))) = multiply(X_90,inverse(multiply(X_89,X_0))) ),
inference(resolve,[$cnf( $equal(multiply(X_90,inverse(multiply(X_0,X_89))),inverse(multiply(X_0,multiply(X_89,inverse(X_90))))) )],[refute_0_749,refute_0_764]) ).
cnf(refute_0_766,plain,
multiply(X_90,inverse(multiply(X_0,X_89))) = multiply(X_90,inverse(multiply(X_89,X_0))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_0),multiply(X_90,inverse(X_89))),inverse(multiply(X_0,multiply(X_89,inverse(X_90))))) )],[refute_0_742,refute_0_765]) ).
cnf(refute_0_767,plain,
multiply(inverse(X_62),inverse(multiply(X_113,X_114))) = multiply(inverse(X_62),inverse(multiply(X_114,X_113))),
inference(subst,[],[refute_0_766:[bind(X_0,$fot(X_113)),bind(X_89,$fot(X_114)),bind(X_90,$fot(inverse(X_62)))]]) ).
cnf(refute_0_768,plain,
( multiply(inverse(X_62),inverse(multiply(X_113,X_114))) != multiply(inverse(X_62),inverse(multiply(X_114,X_113)))
| inverse(multiply(inverse(X_62),inverse(multiply(X_113,X_114)))) != multiply(X_62,inverse(inverse(multiply(X_113,X_114))))
| inverse(multiply(inverse(X_62),inverse(multiply(X_114,X_113)))) = multiply(X_62,inverse(inverse(multiply(X_113,X_114)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X_62),inverse(multiply(X_113,X_114)))),multiply(X_62,inverse(inverse(multiply(X_113,X_114))))) ),[0,0],$fot(multiply(inverse(X_62),inverse(multiply(X_114,X_113))))]]) ).
cnf(refute_0_769,plain,
( inverse(multiply(inverse(X_62),inverse(multiply(X_113,X_114)))) != multiply(X_62,inverse(inverse(multiply(X_113,X_114))))
| inverse(multiply(inverse(X_62),inverse(multiply(X_114,X_113)))) = multiply(X_62,inverse(inverse(multiply(X_113,X_114)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_62),inverse(multiply(X_113,X_114))),multiply(inverse(X_62),inverse(multiply(X_114,X_113)))) )],[refute_0_767,refute_0_768]) ).
cnf(refute_0_770,plain,
inverse(multiply(inverse(X_62),inverse(multiply(X_114,X_113)))) = multiply(X_62,inverse(inverse(multiply(X_113,X_114)))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_62),inverse(multiply(X_113,X_114)))),multiply(X_62,inverse(inverse(multiply(X_113,X_114))))) )],[refute_0_737,refute_0_769]) ).
cnf(refute_0_771,plain,
inverse(inverse(multiply(X_114,X_113))) = multiply(X_114,X_113),
inference(subst,[],[refute_0_262:[bind(Y,$fot(multiply(X_114,X_113)))]]) ).
cnf(refute_0_772,plain,
multiply(X_62,inverse(inverse(multiply(X_114,X_113)))) = multiply(X_62,inverse(inverse(multiply(X_114,X_113)))),
introduced(tautology,[refl,[$fot(multiply(X_62,inverse(inverse(multiply(X_114,X_113)))))]]) ).
cnf(refute_0_773,plain,
( multiply(X_62,inverse(inverse(multiply(X_114,X_113)))) != multiply(X_62,inverse(inverse(multiply(X_114,X_113))))
| inverse(inverse(multiply(X_114,X_113))) != multiply(X_114,X_113)
| multiply(X_62,inverse(inverse(multiply(X_114,X_113)))) = multiply(X_62,multiply(X_114,X_113)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_62,inverse(inverse(multiply(X_114,X_113)))),multiply(X_62,inverse(inverse(multiply(X_114,X_113))))) ),[1,1],$fot(multiply(X_114,X_113))]]) ).
cnf(refute_0_774,plain,
( inverse(inverse(multiply(X_114,X_113))) != multiply(X_114,X_113)
| multiply(X_62,inverse(inverse(multiply(X_114,X_113)))) = multiply(X_62,multiply(X_114,X_113)) ),
inference(resolve,[$cnf( $equal(multiply(X_62,inverse(inverse(multiply(X_114,X_113)))),multiply(X_62,inverse(inverse(multiply(X_114,X_113))))) )],[refute_0_772,refute_0_773]) ).
cnf(refute_0_775,plain,
multiply(X_62,inverse(inverse(multiply(X_114,X_113)))) = multiply(X_62,multiply(X_114,X_113)),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_114,X_113))),multiply(X_114,X_113)) )],[refute_0_771,refute_0_774]) ).
cnf(refute_0_776,plain,
inverse(multiply(inverse(X_62),inverse(multiply(X_114,X_113)))) = multiply(X_62,inverse(inverse(multiply(X_114,X_113)))),
inference(subst,[],[refute_0_316:[bind(X_60,$fot(inverse(multiply(X_114,X_113))))]]) ).
cnf(refute_0_777,plain,
( multiply(X_62,inverse(inverse(multiply(X_114,X_113)))) != multiply(X_62,multiply(X_114,X_113))
| inverse(multiply(inverse(X_62),inverse(multiply(X_114,X_113)))) != multiply(X_62,inverse(inverse(multiply(X_114,X_113))))
| inverse(multiply(inverse(X_62),inverse(multiply(X_114,X_113)))) = multiply(X_62,multiply(X_114,X_113)) ),
inference(subst,[],[refute_0_113:[bind(X0,$fot(inverse(multiply(inverse(X_62),inverse(multiply(X_114,X_113)))))),bind(Y0,$fot(multiply(X_62,inverse(inverse(multiply(X_114,X_113)))))),bind(Z0,$fot(multiply(X_62,multiply(X_114,X_113))))]]) ).
cnf(refute_0_778,plain,
( multiply(X_62,inverse(inverse(multiply(X_114,X_113)))) != multiply(X_62,multiply(X_114,X_113))
| inverse(multiply(inverse(X_62),inverse(multiply(X_114,X_113)))) = multiply(X_62,multiply(X_114,X_113)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_62),inverse(multiply(X_114,X_113)))),multiply(X_62,inverse(inverse(multiply(X_114,X_113))))) )],[refute_0_776,refute_0_777]) ).
cnf(refute_0_779,plain,
inverse(multiply(inverse(X_62),inverse(multiply(X_114,X_113)))) = multiply(X_62,multiply(X_114,X_113)),
inference(resolve,[$cnf( $equal(multiply(X_62,inverse(inverse(multiply(X_114,X_113)))),multiply(X_62,multiply(X_114,X_113))) )],[refute_0_775,refute_0_778]) ).
cnf(refute_0_780,plain,
( inverse(multiply(inverse(X_62),inverse(multiply(X_114,X_113)))) != multiply(X_62,multiply(X_114,X_113))
| inverse(multiply(inverse(X_62),inverse(multiply(X_114,X_113)))) != multiply(X_62,inverse(inverse(multiply(X_113,X_114))))
| multiply(X_62,multiply(X_114,X_113)) = multiply(X_62,inverse(inverse(multiply(X_113,X_114)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X_62),inverse(multiply(X_114,X_113)))),multiply(X_62,inverse(inverse(multiply(X_113,X_114))))) ),[0],$fot(multiply(X_62,multiply(X_114,X_113)))]]) ).
cnf(refute_0_781,plain,
( inverse(multiply(inverse(X_62),inverse(multiply(X_114,X_113)))) != multiply(X_62,inverse(inverse(multiply(X_113,X_114))))
| multiply(X_62,multiply(X_114,X_113)) = multiply(X_62,inverse(inverse(multiply(X_113,X_114)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_62),inverse(multiply(X_114,X_113)))),multiply(X_62,multiply(X_114,X_113))) )],[refute_0_779,refute_0_780]) ).
cnf(refute_0_782,plain,
inverse(inverse(multiply(X_113,X_114))) = multiply(X_113,X_114),
inference(subst,[],[refute_0_262:[bind(Y,$fot(multiply(X_113,X_114)))]]) ).
cnf(refute_0_783,plain,
multiply(X_62,inverse(inverse(multiply(X_113,X_114)))) = multiply(X_62,inverse(inverse(multiply(X_113,X_114)))),
introduced(tautology,[refl,[$fot(multiply(X_62,inverse(inverse(multiply(X_113,X_114)))))]]) ).
cnf(refute_0_784,plain,
( multiply(X_62,inverse(inverse(multiply(X_113,X_114)))) != multiply(X_62,inverse(inverse(multiply(X_113,X_114))))
| inverse(inverse(multiply(X_113,X_114))) != multiply(X_113,X_114)
| multiply(X_62,inverse(inverse(multiply(X_113,X_114)))) = multiply(X_62,multiply(X_113,X_114)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_62,inverse(inverse(multiply(X_113,X_114)))),multiply(X_62,inverse(inverse(multiply(X_113,X_114))))) ),[1,1],$fot(multiply(X_113,X_114))]]) ).
cnf(refute_0_785,plain,
( inverse(inverse(multiply(X_113,X_114))) != multiply(X_113,X_114)
| multiply(X_62,inverse(inverse(multiply(X_113,X_114)))) = multiply(X_62,multiply(X_113,X_114)) ),
inference(resolve,[$cnf( $equal(multiply(X_62,inverse(inverse(multiply(X_113,X_114)))),multiply(X_62,inverse(inverse(multiply(X_113,X_114))))) )],[refute_0_783,refute_0_784]) ).
cnf(refute_0_786,plain,
multiply(X_62,inverse(inverse(multiply(X_113,X_114)))) = multiply(X_62,multiply(X_113,X_114)),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_113,X_114))),multiply(X_113,X_114)) )],[refute_0_782,refute_0_785]) ).
cnf(refute_0_787,plain,
( multiply(X_62,multiply(X_114,X_113)) != multiply(X_62,inverse(inverse(multiply(X_113,X_114))))
| multiply(X_62,inverse(inverse(multiply(X_113,X_114)))) != multiply(X_62,multiply(X_113,X_114))
| multiply(X_62,multiply(X_114,X_113)) = multiply(X_62,multiply(X_113,X_114)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_62,multiply(X_114,X_113)),multiply(X_62,multiply(X_113,X_114))) ),[0],$fot(multiply(X_62,inverse(inverse(multiply(X_113,X_114)))))]]) ).
cnf(refute_0_788,plain,
( multiply(X_62,multiply(X_114,X_113)) != multiply(X_62,inverse(inverse(multiply(X_113,X_114))))
| multiply(X_62,multiply(X_114,X_113)) = multiply(X_62,multiply(X_113,X_114)) ),
inference(resolve,[$cnf( $equal(multiply(X_62,inverse(inverse(multiply(X_113,X_114)))),multiply(X_62,multiply(X_113,X_114))) )],[refute_0_786,refute_0_787]) ).
cnf(refute_0_789,plain,
( inverse(multiply(inverse(X_62),inverse(multiply(X_114,X_113)))) != multiply(X_62,inverse(inverse(multiply(X_113,X_114))))
| multiply(X_62,multiply(X_114,X_113)) = multiply(X_62,multiply(X_113,X_114)) ),
inference(resolve,[$cnf( $equal(multiply(X_62,multiply(X_114,X_113)),multiply(X_62,inverse(inverse(multiply(X_113,X_114))))) )],[refute_0_781,refute_0_788]) ).
cnf(refute_0_790,plain,
multiply(X_62,multiply(X_114,X_113)) = multiply(X_62,multiply(X_113,X_114)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_62),inverse(multiply(X_114,X_113)))),multiply(X_62,inverse(inverse(multiply(X_113,X_114))))) )],[refute_0_770,refute_0_789]) ).
cnf(refute_0_791,plain,
( multiply(X_62,multiply(X_114,X_113)) != multiply(X_62,multiply(X_113,X_114))
| multiply(X_62,multiply(X_113,X_114)) = multiply(X_62,multiply(X_114,X_113)) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(multiply(X_62,multiply(X_114,X_113)))),bind(Y0,$fot(multiply(X_62,multiply(X_113,X_114))))]]) ).
cnf(refute_0_792,plain,
multiply(X_62,multiply(X_113,X_114)) = multiply(X_62,multiply(X_114,X_113)),
inference(resolve,[$cnf( $equal(multiply(X_62,multiply(X_114,X_113)),multiply(X_62,multiply(X_113,X_114))) )],[refute_0_790,refute_0_791]) ).
cnf(refute_0_793,plain,
multiply(a3,multiply(c3,b3)) = multiply(a3,multiply(b3,c3)),
inference(subst,[],[refute_0_792:[bind(X_113,$fot(c3)),bind(X_114,$fot(b3)),bind(X_62,$fot(a3))]]) ).
cnf(refute_0_794,plain,
multiply(multiply(X_119,X_121),X_71) = multiply(X_71,multiply(X_119,X_121)),
inference(subst,[],[refute_0_488:[bind(X_72,$fot(multiply(X_119,X_121)))]]) ).
cnf(refute_0_795,plain,
multiply(inverse(inverse(multiply(X_77,X_78))),multiply(inverse(multiply(X_77,X_78)),multiply(multiply(X_78,X_77),X_79))) = multiply(multiply(X_78,X_77),X_79),
inference(subst,[],[refute_0_581:[bind(Y,$fot(multiply(multiply(X_78,X_77),X_79))),bind(X_0,$fot(inverse(multiply(X_77,X_78))))]]) ).
cnf(refute_0_796,plain,
multiply(inverse(multiply(X_77,X_78)),multiply(multiply(X_78,X_77),X_79)) = X_79,
inference(subst,[],[refute_0_587:[bind(X_37,$fot(X_77)),bind(X_60,$fot(X_78)),bind(X_75,$fot(X_79))]]) ).
cnf(refute_0_797,plain,
( multiply(inverse(multiply(X_77,X_78)),multiply(multiply(X_78,X_77),X_79)) != X_79
| multiply(inverse(inverse(multiply(X_77,X_78))),multiply(inverse(multiply(X_77,X_78)),multiply(multiply(X_78,X_77),X_79))) != multiply(multiply(X_78,X_77),X_79)
| multiply(inverse(inverse(multiply(X_77,X_78))),X_79) = multiply(multiply(X_78,X_77),X_79) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(multiply(X_77,X_78))),multiply(inverse(multiply(X_77,X_78)),multiply(multiply(X_78,X_77),X_79))),multiply(multiply(X_78,X_77),X_79)) ),[0,1],$fot(X_79)]]) ).
cnf(refute_0_798,plain,
( multiply(inverse(inverse(multiply(X_77,X_78))),multiply(inverse(multiply(X_77,X_78)),multiply(multiply(X_78,X_77),X_79))) != multiply(multiply(X_78,X_77),X_79)
| multiply(inverse(inverse(multiply(X_77,X_78))),X_79) = multiply(multiply(X_78,X_77),X_79) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_77,X_78)),multiply(multiply(X_78,X_77),X_79)),X_79) )],[refute_0_796,refute_0_797]) ).
cnf(refute_0_799,plain,
multiply(inverse(inverse(multiply(X_77,X_78))),X_79) = multiply(multiply(X_78,X_77),X_79),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_77,X_78))),multiply(inverse(multiply(X_77,X_78)),multiply(multiply(X_78,X_77),X_79))),multiply(multiply(X_78,X_77),X_79)) )],[refute_0_795,refute_0_798]) ).
cnf(refute_0_800,plain,
inverse(inverse(multiply(X_77,X_78))) = multiply(X_77,X_78),
inference(subst,[],[refute_0_262:[bind(Y,$fot(multiply(X_77,X_78)))]]) ).
cnf(refute_0_801,plain,
multiply(inverse(inverse(multiply(X_77,X_78))),X_79) = multiply(inverse(inverse(multiply(X_77,X_78))),X_79),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(multiply(X_77,X_78))),X_79))]]) ).
cnf(refute_0_802,plain,
( multiply(inverse(inverse(multiply(X_77,X_78))),X_79) != multiply(inverse(inverse(multiply(X_77,X_78))),X_79)
| inverse(inverse(multiply(X_77,X_78))) != multiply(X_77,X_78)
| multiply(inverse(inverse(multiply(X_77,X_78))),X_79) = multiply(multiply(X_77,X_78),X_79) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(multiply(X_77,X_78))),X_79),multiply(inverse(inverse(multiply(X_77,X_78))),X_79)) ),[1,0],$fot(multiply(X_77,X_78))]]) ).
cnf(refute_0_803,plain,
( inverse(inverse(multiply(X_77,X_78))) != multiply(X_77,X_78)
| multiply(inverse(inverse(multiply(X_77,X_78))),X_79) = multiply(multiply(X_77,X_78),X_79) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_77,X_78))),X_79),multiply(inverse(inverse(multiply(X_77,X_78))),X_79)) )],[refute_0_801,refute_0_802]) ).
cnf(refute_0_804,plain,
multiply(inverse(inverse(multiply(X_77,X_78))),X_79) = multiply(multiply(X_77,X_78),X_79),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_77,X_78))),multiply(X_77,X_78)) )],[refute_0_800,refute_0_803]) ).
cnf(refute_0_805,plain,
( multiply(inverse(inverse(multiply(X_77,X_78))),X_79) != multiply(multiply(X_77,X_78),X_79)
| multiply(inverse(inverse(multiply(X_77,X_78))),X_79) != multiply(multiply(X_78,X_77),X_79)
| multiply(multiply(X_77,X_78),X_79) = multiply(multiply(X_78,X_77),X_79) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(multiply(X_77,X_78))),X_79),multiply(multiply(X_78,X_77),X_79)) ),[0],$fot(multiply(multiply(X_77,X_78),X_79))]]) ).
cnf(refute_0_806,plain,
( multiply(inverse(inverse(multiply(X_77,X_78))),X_79) != multiply(multiply(X_78,X_77),X_79)
| multiply(multiply(X_77,X_78),X_79) = multiply(multiply(X_78,X_77),X_79) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_77,X_78))),X_79),multiply(multiply(X_77,X_78),X_79)) )],[refute_0_804,refute_0_805]) ).
cnf(refute_0_807,plain,
multiply(multiply(X_77,X_78),X_79) = multiply(multiply(X_78,X_77),X_79),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_77,X_78))),X_79),multiply(multiply(X_78,X_77),X_79)) )],[refute_0_799,refute_0_806]) ).
cnf(refute_0_808,plain,
multiply(multiply(X_77,X_78),X_79) = multiply(X_78,multiply(X_77,X_79)),
inference(subst,[],[refute_0_396:[bind(X_101,$fot(X_77)),bind(X_103,$fot(X_79)),bind(X_33,$fot(X_78))]]) ).
cnf(refute_0_809,plain,
( multiply(multiply(X_77,X_78),X_79) != multiply(X_78,multiply(X_77,X_79))
| multiply(multiply(X_77,X_78),X_79) != multiply(multiply(X_78,X_77),X_79)
| multiply(X_78,multiply(X_77,X_79)) = multiply(multiply(X_78,X_77),X_79) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_77,X_78),X_79),multiply(multiply(X_78,X_77),X_79)) ),[0],$fot(multiply(X_78,multiply(X_77,X_79)))]]) ).
cnf(refute_0_810,plain,
( multiply(multiply(X_77,X_78),X_79) != multiply(multiply(X_78,X_77),X_79)
| multiply(X_78,multiply(X_77,X_79)) = multiply(multiply(X_78,X_77),X_79) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_77,X_78),X_79),multiply(X_78,multiply(X_77,X_79))) )],[refute_0_808,refute_0_809]) ).
cnf(refute_0_811,plain,
multiply(multiply(X_78,X_77),X_79) = multiply(X_77,multiply(X_78,X_79)),
inference(subst,[],[refute_0_396:[bind(X_101,$fot(X_78)),bind(X_103,$fot(X_79)),bind(X_33,$fot(X_77))]]) ).
cnf(refute_0_812,plain,
( multiply(X_78,multiply(X_77,X_79)) != multiply(multiply(X_78,X_77),X_79)
| multiply(multiply(X_78,X_77),X_79) != multiply(X_77,multiply(X_78,X_79))
| multiply(X_78,multiply(X_77,X_79)) = multiply(X_77,multiply(X_78,X_79)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_78,multiply(X_77,X_79)),multiply(X_77,multiply(X_78,X_79))) ),[0],$fot(multiply(multiply(X_78,X_77),X_79))]]) ).
cnf(refute_0_813,plain,
( multiply(X_78,multiply(X_77,X_79)) != multiply(multiply(X_78,X_77),X_79)
| multiply(X_78,multiply(X_77,X_79)) = multiply(X_77,multiply(X_78,X_79)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_78,X_77),X_79),multiply(X_77,multiply(X_78,X_79))) )],[refute_0_811,refute_0_812]) ).
cnf(refute_0_814,plain,
( multiply(multiply(X_77,X_78),X_79) != multiply(multiply(X_78,X_77),X_79)
| multiply(X_78,multiply(X_77,X_79)) = multiply(X_77,multiply(X_78,X_79)) ),
inference(resolve,[$cnf( $equal(multiply(X_78,multiply(X_77,X_79)),multiply(multiply(X_78,X_77),X_79)) )],[refute_0_810,refute_0_813]) ).
cnf(refute_0_815,plain,
multiply(X_78,multiply(X_77,X_79)) = multiply(X_77,multiply(X_78,X_79)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_77,X_78),X_79),multiply(multiply(X_78,X_77),X_79)) )],[refute_0_807,refute_0_814]) ).
cnf(refute_0_816,plain,
multiply(X_71,multiply(X_119,X_121)) = multiply(X_119,multiply(X_71,X_121)),
inference(subst,[],[refute_0_815:[bind(X_77,$fot(X_119)),bind(X_78,$fot(X_71)),bind(X_79,$fot(X_121))]]) ).
cnf(refute_0_817,plain,
( multiply(X_71,multiply(X_119,X_121)) != multiply(X_119,multiply(X_71,X_121))
| multiply(multiply(X_119,X_121),X_71) != multiply(X_71,multiply(X_119,X_121))
| multiply(multiply(X_119,X_121),X_71) = multiply(X_119,multiply(X_71,X_121)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_119,X_121),X_71),multiply(X_71,multiply(X_119,X_121))) ),[1],$fot(multiply(X_119,multiply(X_71,X_121)))]]) ).
cnf(refute_0_818,plain,
( multiply(multiply(X_119,X_121),X_71) != multiply(X_71,multiply(X_119,X_121))
| multiply(multiply(X_119,X_121),X_71) = multiply(X_119,multiply(X_71,X_121)) ),
inference(resolve,[$cnf( $equal(multiply(X_71,multiply(X_119,X_121)),multiply(X_119,multiply(X_71,X_121))) )],[refute_0_816,refute_0_817]) ).
cnf(refute_0_819,plain,
multiply(multiply(X_119,X_121),X_71) = multiply(X_119,multiply(X_71,X_121)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_119,X_121),X_71),multiply(X_71,multiply(X_119,X_121))) )],[refute_0_794,refute_0_818]) ).
cnf(refute_0_820,plain,
multiply(multiply(X_119,X_121),X_71) = multiply(X_121,multiply(X_119,X_71)),
inference(subst,[],[refute_0_396:[bind(X_101,$fot(X_119)),bind(X_103,$fot(X_71)),bind(X_33,$fot(X_121))]]) ).
cnf(refute_0_821,plain,
( multiply(multiply(X_119,X_121),X_71) != multiply(X_119,multiply(X_71,X_121))
| multiply(multiply(X_119,X_121),X_71) != multiply(X_121,multiply(X_119,X_71))
| multiply(X_121,multiply(X_119,X_71)) = multiply(X_119,multiply(X_71,X_121)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_119,X_121),X_71),multiply(X_119,multiply(X_71,X_121))) ),[0],$fot(multiply(X_121,multiply(X_119,X_71)))]]) ).
cnf(refute_0_822,plain,
( multiply(multiply(X_119,X_121),X_71) != multiply(X_119,multiply(X_71,X_121))
| multiply(X_121,multiply(X_119,X_71)) = multiply(X_119,multiply(X_71,X_121)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_119,X_121),X_71),multiply(X_121,multiply(X_119,X_71))) )],[refute_0_820,refute_0_821]) ).
cnf(refute_0_823,plain,
multiply(X_121,multiply(X_119,X_71)) = multiply(X_119,multiply(X_71,X_121)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_119,X_121),X_71),multiply(X_119,multiply(X_71,X_121))) )],[refute_0_819,refute_0_822]) ).
cnf(refute_0_824,plain,
multiply(b3,multiply(a3,c3)) = multiply(a3,multiply(c3,b3)),
inference(subst,[],[refute_0_823:[bind(X_119,$fot(a3)),bind(X_121,$fot(b3)),bind(X_71,$fot(c3))]]) ).
cnf(refute_0_825,plain,
( multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(c3,b3))
| multiply(b3,multiply(a3,c3)) = multiply(a3,multiply(b3,c3)) ),
inference(subst,[],[refute_0_113:[bind(X0,$fot(multiply(b3,multiply(a3,c3)))),bind(Y0,$fot(multiply(a3,multiply(c3,b3)))),bind(Z0,$fot(multiply(a3,multiply(b3,c3))))]]) ).
cnf(refute_0_826,plain,
( multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(b3,multiply(a3,c3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(b3,multiply(a3,c3)),multiply(a3,multiply(c3,b3))) )],[refute_0_824,refute_0_825]) ).
cnf(refute_0_827,plain,
multiply(b3,multiply(a3,c3)) = multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(a3,multiply(c3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_793,refute_0_826]) ).
cnf(refute_0_828,plain,
multiply(multiply(a3,b3),c3) = multiply(b3,multiply(a3,c3)),
inference(subst,[],[refute_0_396:[bind(X_101,$fot(a3)),bind(X_103,$fot(c3)),bind(X_33,$fot(b3))]]) ).
cnf(refute_0_829,plain,
( multiply(multiply(a3,b3),c3) != multiply(b3,multiply(a3,c3))
| multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(subst,[],[refute_0_113:[bind(X0,$fot(multiply(multiply(a3,b3),c3))),bind(Y0,$fot(multiply(b3,multiply(a3,c3)))),bind(Z0,$fot(multiply(a3,multiply(b3,c3))))]]) ).
cnf(refute_0_830,plain,
( multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(b3,multiply(a3,c3))) )],[refute_0_828,refute_0_829]) ).
cnf(refute_0_831,plain,
multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(b3,multiply(a3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_827,refute_0_830]) ).
cnf(refute_0_832,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),[0],$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_833,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_831,refute_0_832]) ).
cnf(refute_0_834,plain,
( multiply(a1,inverse(a1)) != multiply(b1,inverse(b1))
| multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(a4,b4) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_833,refute_0_736]) ).
cnf(refute_0_835,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_836,plain,
( multiply(a1,inverse(a1)) != multiply(b1,inverse(b1))
| multiply(a4,b4) != multiply(a4,b4) ),
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_835,refute_0_834]) ).
cnf(refute_0_837,plain,
multiply(a4,b4) = multiply(a4,b4),
introduced(tautology,[refl,[$fot(multiply(a4,b4))]]) ).
cnf(refute_0_838,plain,
multiply(a1,inverse(a1)) != multiply(b1,inverse(b1)),
inference(resolve,[$cnf( $equal(multiply(a4,b4),multiply(a4,b4)) )],[refute_0_837,refute_0_836]) ).
cnf(refute_0_839,plain,
( multiply(X_0,inverse(X_0)) != multiply(X_26,inverse(X_26))
| multiply(X_26,inverse(X_26)) = multiply(X_0,inverse(X_0)) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(multiply(X_0,inverse(X_0)))),bind(Y0,$fot(multiply(X_26,inverse(X_26))))]]) ).
cnf(refute_0_840,plain,
multiply(X_26,inverse(X_26)) = multiply(X_0,inverse(X_0)),
inference(resolve,[$cnf( $equal(multiply(X_0,inverse(X_0)),multiply(X_26,inverse(X_26))) )],[refute_0_182,refute_0_839]) ).
cnf(refute_0_841,plain,
multiply(a1,inverse(a1)) = multiply(b1,inverse(b1)),
inference(subst,[],[refute_0_840:[bind(X_0,$fot(b1)),bind(X_26,$fot(a1))]]) ).
cnf(refute_0_842,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a1,inverse(a1)),multiply(b1,inverse(b1))) )],[refute_0_841,refute_0_838]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP085-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 14 09:55:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.30/1.49 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.30/1.49
% 1.30/1.49 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.41/1.60
%------------------------------------------------------------------------------