%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP434-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n018.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 10:40:00 EDT 2022
% Result : Unsatisfiable 124.23s 124.49s
% Output : CNFRefutation 124.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 86
% Number of leaves : 129
% Syntax : Number of clauses : 447 ( 231 unt; 0 nHn; 169 RR)
% Number of literals : 765 ( 764 equ; 320 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 1538 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,B),C)),A),B),multiply(D,inverse(D)))) = C ).
cnf(prove_these_axioms_2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2 ).
cnf(refute_0_0,plain,
inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,inverse(A)),C)),A),inverse(A)),multiply(D,inverse(D)))) = C,
inference(subst,[],[single_axiom:[bind(B,$fot(inverse(A)))]]) ).
cnf(refute_0_1,plain,
inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,X_1),C)),A),X_1),multiply(D,inverse(D)))),multiply(inverse(multiply(multiply(A,X_1),C)),A)),X_1),multiply(X_3,inverse(X_3)))) = multiply(D,inverse(D)),
inference(subst,[],[single_axiom:[bind(A,$fot(multiply(inverse(multiply(multiply(A,X_1),C)),A))),bind(B,$fot(X_1)),bind(C,$fot(multiply(D,inverse(D)))),bind(D,$fot(X_3))]]) ).
cnf(refute_0_2,plain,
inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,X_1),C)),A),X_1),multiply(D,inverse(D)))) = C,
inference(subst,[],[single_axiom:[bind(B,$fot(X_1))]]) ).
cnf(refute_0_3,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,X_1),C)),A),X_1),multiply(D,inverse(D)))) != C
| inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,X_1),C)),A),X_1),multiply(D,inverse(D)))),multiply(inverse(multiply(multiply(A,X_1),C)),A)),X_1),multiply(X_3,inverse(X_3)))) != multiply(D,inverse(D))
| inverse(multiply(multiply(multiply(C,multiply(inverse(multiply(multiply(A,X_1),C)),A)),X_1),multiply(X_3,inverse(X_3)))) = multiply(D,inverse(D)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,X_1),C)),A),X_1),multiply(D,inverse(D)))),multiply(inverse(multiply(multiply(A,X_1),C)),A)),X_1),multiply(X_3,inverse(X_3)))),multiply(D,inverse(D))) ),[0,0,0,0,0],$fot(C)]]) ).
cnf(refute_0_4,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,X_1),C)),A),X_1),multiply(D,inverse(D)))),multiply(inverse(multiply(multiply(A,X_1),C)),A)),X_1),multiply(X_3,inverse(X_3)))) != multiply(D,inverse(D))
| inverse(multiply(multiply(multiply(C,multiply(inverse(multiply(multiply(A,X_1),C)),A)),X_1),multiply(X_3,inverse(X_3)))) = multiply(D,inverse(D)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,X_1),C)),A),X_1),multiply(D,inverse(D)))),C) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
inverse(multiply(multiply(multiply(C,multiply(inverse(multiply(multiply(A,X_1),C)),A)),X_1),multiply(X_3,inverse(X_3)))) = multiply(D,inverse(D)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,X_1),C)),A),X_1),multiply(D,inverse(D)))),multiply(inverse(multiply(multiply(A,X_1),C)),A)),X_1),multiply(X_3,inverse(X_3)))),multiply(D,inverse(D))) )],[refute_0_1,refute_0_4]) ).
cnf(refute_0_6,plain,
inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_0,B),X_2)),X_0),B),multiply(X_3,inverse(X_3)))),multiply(inverse(multiply(multiply(X_0,B),X_2)),X_0)),B),multiply(D,inverse(D)))) = multiply(X_3,inverse(X_3)),
inference(subst,[],[single_axiom:[bind(A,$fot(multiply(inverse(multiply(multiply(X_0,B),X_2)),X_0))),bind(C,$fot(multiply(X_3,inverse(X_3))))]]) ).
cnf(refute_0_7,plain,
inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_0,B),X_2)),X_0),B),multiply(X_3,inverse(X_3)))) = X_2,
inference(subst,[],[single_axiom:[bind(A,$fot(X_0)),bind(C,$fot(X_2)),bind(D,$fot(X_3))]]) ).
cnf(refute_0_8,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_0,B),X_2)),X_0),B),multiply(X_3,inverse(X_3)))) != X_2
| inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_0,B),X_2)),X_0),B),multiply(X_3,inverse(X_3)))),multiply(inverse(multiply(multiply(X_0,B),X_2)),X_0)),B),multiply(D,inverse(D)))) != multiply(X_3,inverse(X_3))
| inverse(multiply(multiply(multiply(X_2,multiply(inverse(multiply(multiply(X_0,B),X_2)),X_0)),B),multiply(D,inverse(D)))) = multiply(X_3,inverse(X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_0,B),X_2)),X_0),B),multiply(X_3,inverse(X_3)))),multiply(inverse(multiply(multiply(X_0,B),X_2)),X_0)),B),multiply(D,inverse(D)))),multiply(X_3,inverse(X_3))) ),[0,0,0,0,0],$fot(X_2)]]) ).
cnf(refute_0_9,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_0,B),X_2)),X_0),B),multiply(X_3,inverse(X_3)))),multiply(inverse(multiply(multiply(X_0,B),X_2)),X_0)),B),multiply(D,inverse(D)))) != multiply(X_3,inverse(X_3))
| inverse(multiply(multiply(multiply(X_2,multiply(inverse(multiply(multiply(X_0,B),X_2)),X_0)),B),multiply(D,inverse(D)))) = multiply(X_3,inverse(X_3)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_0,B),X_2)),X_0),B),multiply(X_3,inverse(X_3)))),X_2) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
inverse(multiply(multiply(multiply(X_2,multiply(inverse(multiply(multiply(X_0,B),X_2)),X_0)),B),multiply(D,inverse(D)))) = multiply(X_3,inverse(X_3)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_0,B),X_2)),X_0),B),multiply(X_3,inverse(X_3)))),multiply(inverse(multiply(multiply(X_0,B),X_2)),X_0)),B),multiply(D,inverse(D)))),multiply(X_3,inverse(X_3))) )],[refute_0_6,refute_0_9]) ).
cnf(refute_0_11,plain,
inverse(multiply(multiply(multiply(C,multiply(inverse(multiply(multiply(A,X_1),C)),A)),X_1),multiply(X_3,inverse(X_3)))) = multiply(X_3,inverse(X_3)),
inference(subst,[],[refute_0_10:[bind(B,$fot(X_1)),bind(D,$fot(X_3)),bind(X_0,$fot(A)),bind(X_2,$fot(C))]]) ).
cnf(refute_0_12,plain,
( inverse(multiply(multiply(multiply(C,multiply(inverse(multiply(multiply(A,X_1),C)),A)),X_1),multiply(X_3,inverse(X_3)))) != multiply(D,inverse(D))
| inverse(multiply(multiply(multiply(C,multiply(inverse(multiply(multiply(A,X_1),C)),A)),X_1),multiply(X_3,inverse(X_3)))) != multiply(X_3,inverse(X_3))
| multiply(X_3,inverse(X_3)) = multiply(D,inverse(D)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(C,multiply(inverse(multiply(multiply(A,X_1),C)),A)),X_1),multiply(X_3,inverse(X_3)))),multiply(D,inverse(D))) ),[0],$fot(multiply(X_3,inverse(X_3)))]]) ).
cnf(refute_0_13,plain,
( inverse(multiply(multiply(multiply(C,multiply(inverse(multiply(multiply(A,X_1),C)),A)),X_1),multiply(X_3,inverse(X_3)))) != multiply(D,inverse(D))
| multiply(X_3,inverse(X_3)) = multiply(D,inverse(D)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(C,multiply(inverse(multiply(multiply(A,X_1),C)),A)),X_1),multiply(X_3,inverse(X_3)))),multiply(X_3,inverse(X_3))) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
multiply(X_3,inverse(X_3)) = multiply(D,inverse(D)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(C,multiply(inverse(multiply(multiply(A,X_1),C)),A)),X_1),multiply(X_3,inverse(X_3)))),multiply(D,inverse(D))) )],[refute_0_5,refute_0_13]) ).
cnf(refute_0_15,plain,
multiply(A,inverse(A)) = multiply(X_4,inverse(X_4)),
inference(subst,[],[refute_0_14:[bind(D,$fot(X_4)),bind(X_3,$fot(A))]]) ).
cnf(refute_0_16,plain,
( multiply(A,inverse(A)) != multiply(X_4,inverse(X_4))
| inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,inverse(A)),C)),A),inverse(A)),multiply(D,inverse(D)))) != C
| inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A),inverse(A)),multiply(D,inverse(D)))) = C ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,inverse(A)),C)),A),inverse(A)),multiply(D,inverse(D)))),C) ),[0,0,0,0,0,0,0],$fot(multiply(X_4,inverse(X_4)))]]) ).
cnf(refute_0_17,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,inverse(A)),C)),A),inverse(A)),multiply(D,inverse(D)))) != C
| inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A),inverse(A)),multiply(D,inverse(D)))) = C ),
inference(resolve,[$cnf( $equal(multiply(A,inverse(A)),multiply(X_4,inverse(X_4))) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A),inverse(A)),multiply(D,inverse(D)))) = C,
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,inverse(A)),C)),A),inverse(A)),multiply(D,inverse(D)))),C) )],[refute_0_0,refute_0_17]) ).
cnf(refute_0_19,plain,
inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,B),inverse(multiply(A,B)))),A),B),multiply(D,inverse(D)))) = inverse(multiply(A,B)),
inference(subst,[],[single_axiom:[bind(C,$fot(inverse(multiply(A,B))))]]) ).
cnf(refute_0_20,plain,
multiply(multiply(A,B),inverse(multiply(A,B))) = multiply(X_4,inverse(X_4)),
inference(subst,[],[refute_0_14:[bind(D,$fot(X_4)),bind(X_3,$fot(multiply(A,B)))]]) ).
cnf(refute_0_21,plain,
( multiply(multiply(A,B),inverse(multiply(A,B))) != multiply(X_4,inverse(X_4))
| inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,B),inverse(multiply(A,B)))),A),B),multiply(D,inverse(D)))) != inverse(multiply(A,B))
| inverse(multiply(multiply(multiply(inverse(multiply(X_4,inverse(X_4))),A),B),multiply(D,inverse(D)))) = inverse(multiply(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,B),inverse(multiply(A,B)))),A),B),multiply(D,inverse(D)))),inverse(multiply(A,B))) ),[0,0,0,0,0,0],$fot(multiply(X_4,inverse(X_4)))]]) ).
cnf(refute_0_22,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,B),inverse(multiply(A,B)))),A),B),multiply(D,inverse(D)))) != inverse(multiply(A,B))
| inverse(multiply(multiply(multiply(inverse(multiply(X_4,inverse(X_4))),A),B),multiply(D,inverse(D)))) = inverse(multiply(A,B)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(A,B),inverse(multiply(A,B))),multiply(X_4,inverse(X_4))) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
inverse(multiply(multiply(multiply(inverse(multiply(X_4,inverse(X_4))),A),B),multiply(D,inverse(D)))) = inverse(multiply(A,B)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,B),inverse(multiply(A,B)))),A),B),multiply(D,inverse(D)))),inverse(multiply(A,B))) )],[refute_0_19,refute_0_22]) ).
cnf(refute_0_24,plain,
inverse(multiply(multiply(multiply(inverse(multiply(X_4,inverse(X_4))),multiply(X_56,inverse(X_56))),multiply(X_4,inverse(X_4))),multiply(D,inverse(D)))) = inverse(multiply(multiply(X_56,inverse(X_56)),multiply(X_4,inverse(X_4)))),
inference(subst,[],[refute_0_23:[bind(A,$fot(multiply(X_56,inverse(X_56)))),bind(B,$fot(multiply(X_4,inverse(X_4))))]]) ).
cnf(refute_0_25,plain,
inverse(multiply(multiply(multiply(inverse(multiply(X_14,X_12)),multiply(inverse(multiply(multiply(X_14,X_12),inverse(multiply(X_14,X_12)))),X_14)),X_12),multiply(X_13,inverse(X_13)))) = multiply(X_16,inverse(X_16)),
inference(subst,[],[refute_0_10:[bind(B,$fot(X_12)),bind(D,$fot(X_13)),bind(X_0,$fot(X_14)),bind(X_2,$fot(inverse(multiply(X_14,X_12)))),bind(X_3,$fot(X_16))]]) ).
cnf(refute_0_26,plain,
multiply(X_3,inverse(X_3)) = multiply(multiply(X_14,X_12),inverse(multiply(X_14,X_12))),
inference(subst,[],[refute_0_14:[bind(D,$fot(multiply(X_14,X_12)))]]) ).
cnf(refute_0_27,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_28,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_29,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
( multiply(X_3,inverse(X_3)) != multiply(multiply(X_14,X_12),inverse(multiply(X_14,X_12)))
| multiply(multiply(X_14,X_12),inverse(multiply(X_14,X_12))) = multiply(X_3,inverse(X_3)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(multiply(X_3,inverse(X_3)))),bind(Y,$fot(multiply(multiply(X_14,X_12),inverse(multiply(X_14,X_12)))))]]) ).
cnf(refute_0_31,plain,
multiply(multiply(X_14,X_12),inverse(multiply(X_14,X_12))) = multiply(X_3,inverse(X_3)),
inference(resolve,[$cnf( $equal(multiply(X_3,inverse(X_3)),multiply(multiply(X_14,X_12),inverse(multiply(X_14,X_12)))) )],[refute_0_26,refute_0_30]) ).
cnf(refute_0_32,plain,
( multiply(multiply(X_14,X_12),inverse(multiply(X_14,X_12))) != multiply(X_3,inverse(X_3))
| inverse(multiply(multiply(multiply(inverse(multiply(X_14,X_12)),multiply(inverse(multiply(multiply(X_14,X_12),inverse(multiply(X_14,X_12)))),X_14)),X_12),multiply(X_13,inverse(X_13)))) != multiply(X_16,inverse(X_16))
| inverse(multiply(multiply(multiply(inverse(multiply(X_14,X_12)),multiply(inverse(multiply(X_3,inverse(X_3))),X_14)),X_12),multiply(X_13,inverse(X_13)))) = multiply(X_16,inverse(X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(X_14,X_12)),multiply(inverse(multiply(multiply(X_14,X_12),inverse(multiply(X_14,X_12)))),X_14)),X_12),multiply(X_13,inverse(X_13)))),multiply(X_16,inverse(X_16))) ),[0,0,0,0,1,0,0],$fot(multiply(X_3,inverse(X_3)))]]) ).
cnf(refute_0_33,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(X_14,X_12)),multiply(inverse(multiply(multiply(X_14,X_12),inverse(multiply(X_14,X_12)))),X_14)),X_12),multiply(X_13,inverse(X_13)))) != multiply(X_16,inverse(X_16))
| inverse(multiply(multiply(multiply(inverse(multiply(X_14,X_12)),multiply(inverse(multiply(X_3,inverse(X_3))),X_14)),X_12),multiply(X_13,inverse(X_13)))) = multiply(X_16,inverse(X_16)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_14,X_12),inverse(multiply(X_14,X_12))),multiply(X_3,inverse(X_3))) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
inverse(multiply(multiply(multiply(inverse(multiply(X_14,X_12)),multiply(inverse(multiply(X_3,inverse(X_3))),X_14)),X_12),multiply(X_13,inverse(X_13)))) = multiply(X_16,inverse(X_16)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(X_14,X_12)),multiply(inverse(multiply(multiply(X_14,X_12),inverse(multiply(X_14,X_12)))),X_14)),X_12),multiply(X_13,inverse(X_13)))),multiply(X_16,inverse(X_16))) )],[refute_0_25,refute_0_33]) ).
cnf(refute_0_35,plain,
inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(inverse(multiply(X_52,inverse(X_52))),inverse(inverse(multiply(X_52,inverse(X_52)))))),X_48),multiply(X_49,inverse(X_49)))) = multiply(X_51,inverse(X_51)),
inference(subst,[],[refute_0_34:[bind(X_12,$fot(X_48)),bind(X_13,$fot(X_49)),bind(X_14,$fot(inverse(inverse(multiply(X_52,inverse(X_52)))))),bind(X_16,$fot(X_51)),bind(X_3,$fot(X_52))]]) ).
cnf(refute_0_36,plain,
multiply(X_3,inverse(X_3)) = multiply(inverse(multiply(X_52,inverse(X_52))),inverse(inverse(multiply(X_52,inverse(X_52))))),
inference(subst,[],[refute_0_14:[bind(D,$fot(inverse(multiply(X_52,inverse(X_52)))))]]) ).
cnf(refute_0_37,plain,
( multiply(X_3,inverse(X_3)) != multiply(inverse(multiply(X_52,inverse(X_52))),inverse(inverse(multiply(X_52,inverse(X_52)))))
| multiply(inverse(multiply(X_52,inverse(X_52))),inverse(inverse(multiply(X_52,inverse(X_52))))) = multiply(X_3,inverse(X_3)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(multiply(X_3,inverse(X_3)))),bind(Y,$fot(multiply(inverse(multiply(X_52,inverse(X_52))),inverse(inverse(multiply(X_52,inverse(X_52)))))))]]) ).
cnf(refute_0_38,plain,
multiply(inverse(multiply(X_52,inverse(X_52))),inverse(inverse(multiply(X_52,inverse(X_52))))) = multiply(X_3,inverse(X_3)),
inference(resolve,[$cnf( $equal(multiply(X_3,inverse(X_3)),multiply(inverse(multiply(X_52,inverse(X_52))),inverse(inverse(multiply(X_52,inverse(X_52)))))) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
( multiply(inverse(multiply(X_52,inverse(X_52))),inverse(inverse(multiply(X_52,inverse(X_52))))) != multiply(X_3,inverse(X_3))
| inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(inverse(multiply(X_52,inverse(X_52))),inverse(inverse(multiply(X_52,inverse(X_52)))))),X_48),multiply(X_49,inverse(X_49)))) != multiply(X_51,inverse(X_51))
| inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49)))) = multiply(X_51,inverse(X_51)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(inverse(multiply(X_52,inverse(X_52))),inverse(inverse(multiply(X_52,inverse(X_52)))))),X_48),multiply(X_49,inverse(X_49)))),multiply(X_51,inverse(X_51))) ),[0,0,0,0,1],$fot(multiply(X_3,inverse(X_3)))]]) ).
cnf(refute_0_40,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(inverse(multiply(X_52,inverse(X_52))),inverse(inverse(multiply(X_52,inverse(X_52)))))),X_48),multiply(X_49,inverse(X_49)))) != multiply(X_51,inverse(X_51))
| inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49)))) = multiply(X_51,inverse(X_51)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_52,inverse(X_52))),inverse(inverse(multiply(X_52,inverse(X_52))))),multiply(X_3,inverse(X_3))) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49)))) = multiply(X_51,inverse(X_51)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(inverse(multiply(X_52,inverse(X_52))),inverse(inverse(multiply(X_52,inverse(X_52)))))),X_48),multiply(X_49,inverse(X_49)))),multiply(X_51,inverse(X_51))) )],[refute_0_35,refute_0_40]) ).
cnf(refute_0_42,plain,
inverse(multiply(multiply(multiply(inverse(multiply(X_4,inverse(X_4))),inverse(inverse(multiply(X_4,inverse(X_4))))),B),multiply(D,inverse(D)))) = inverse(multiply(inverse(inverse(multiply(X_4,inverse(X_4)))),B)),
inference(subst,[],[refute_0_23:[bind(A,$fot(inverse(inverse(multiply(X_4,inverse(X_4))))))]]) ).
cnf(refute_0_43,plain,
multiply(X_3,inverse(X_3)) = multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_10,inverse(X_10)))),
inference(subst,[],[refute_0_14:[bind(D,$fot(multiply(X_10,inverse(X_10))))]]) ).
cnf(refute_0_44,plain,
inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_9,inverse(X_9))))),X_6),inverse(X_6)),multiply(X_8,inverse(X_8)))) = inverse(multiply(X_9,inverse(X_9))),
inference(subst,[],[refute_0_18:[bind(A,$fot(X_6)),bind(C,$fot(inverse(multiply(X_9,inverse(X_9))))),bind(D,$fot(X_8)),bind(X_4,$fot(X_9))]]) ).
cnf(refute_0_45,plain,
multiply(X_3,inverse(X_3)) = multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_9,inverse(X_9)))),
inference(subst,[],[refute_0_14:[bind(D,$fot(multiply(X_9,inverse(X_9))))]]) ).
cnf(refute_0_46,plain,
( multiply(X_3,inverse(X_3)) != multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_9,inverse(X_9))))
| multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_9,inverse(X_9)))) = multiply(X_3,inverse(X_3)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(multiply(X_3,inverse(X_3)))),bind(Y,$fot(multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_9,inverse(X_9))))))]]) ).
cnf(refute_0_47,plain,
multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_9,inverse(X_9)))) = multiply(X_3,inverse(X_3)),
inference(resolve,[$cnf( $equal(multiply(X_3,inverse(X_3)),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_9,inverse(X_9))))) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
( multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_9,inverse(X_9)))) != multiply(X_3,inverse(X_3))
| inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_9,inverse(X_9))))),X_6),inverse(X_6)),multiply(X_8,inverse(X_8)))) != inverse(multiply(X_9,inverse(X_9)))
| inverse(multiply(multiply(multiply(inverse(multiply(X_3,inverse(X_3))),X_6),inverse(X_6)),multiply(X_8,inverse(X_8)))) = inverse(multiply(X_9,inverse(X_9))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_9,inverse(X_9))))),X_6),inverse(X_6)),multiply(X_8,inverse(X_8)))),inverse(multiply(X_9,inverse(X_9)))) ),[0,0,0,0,0,0],$fot(multiply(X_3,inverse(X_3)))]]) ).
cnf(refute_0_49,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_9,inverse(X_9))))),X_6),inverse(X_6)),multiply(X_8,inverse(X_8)))) != inverse(multiply(X_9,inverse(X_9)))
| inverse(multiply(multiply(multiply(inverse(multiply(X_3,inverse(X_3))),X_6),inverse(X_6)),multiply(X_8,inverse(X_8)))) = inverse(multiply(X_9,inverse(X_9))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_9,inverse(X_9)))),multiply(X_3,inverse(X_3))) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
inverse(multiply(multiply(multiply(inverse(multiply(X_3,inverse(X_3))),X_6),inverse(X_6)),multiply(X_8,inverse(X_8)))) = inverse(multiply(X_9,inverse(X_9))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_9,inverse(X_9))))),X_6),inverse(X_6)),multiply(X_8,inverse(X_8)))),inverse(multiply(X_9,inverse(X_9)))) )],[refute_0_44,refute_0_49]) ).
cnf(refute_0_51,plain,
inverse(multiply(multiply(multiply(inverse(multiply(X_3,inverse(X_3))),X_6),inverse(X_6)),multiply(X_8,inverse(X_8)))) = inverse(multiply(X_6,inverse(X_6))),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_6)),bind(B,$fot(inverse(X_6))),bind(D,$fot(X_8)),bind(X_4,$fot(X_3))]]) ).
cnf(refute_0_52,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(X_3,inverse(X_3))),X_6),inverse(X_6)),multiply(X_8,inverse(X_8)))) != inverse(multiply(X_6,inverse(X_6)))
| inverse(multiply(multiply(multiply(inverse(multiply(X_3,inverse(X_3))),X_6),inverse(X_6)),multiply(X_8,inverse(X_8)))) != inverse(multiply(X_9,inverse(X_9)))
| inverse(multiply(X_6,inverse(X_6))) = inverse(multiply(X_9,inverse(X_9))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(X_3,inverse(X_3))),X_6),inverse(X_6)),multiply(X_8,inverse(X_8)))),inverse(multiply(X_9,inverse(X_9)))) ),[0],$fot(inverse(multiply(X_6,inverse(X_6))))]]) ).
cnf(refute_0_53,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(X_3,inverse(X_3))),X_6),inverse(X_6)),multiply(X_8,inverse(X_8)))) != inverse(multiply(X_9,inverse(X_9)))
| inverse(multiply(X_6,inverse(X_6))) = inverse(multiply(X_9,inverse(X_9))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(X_3,inverse(X_3))),X_6),inverse(X_6)),multiply(X_8,inverse(X_8)))),inverse(multiply(X_6,inverse(X_6)))) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
inverse(multiply(X_6,inverse(X_6))) = inverse(multiply(X_9,inverse(X_9))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(X_3,inverse(X_3))),X_6),inverse(X_6)),multiply(X_8,inverse(X_8)))),inverse(multiply(X_9,inverse(X_9)))) )],[refute_0_50,refute_0_53]) ).
cnf(refute_0_55,plain,
inverse(multiply(X_10,inverse(X_10))) = inverse(multiply(X_11,inverse(X_11))),
inference(subst,[],[refute_0_54:[bind(X_6,$fot(X_10)),bind(X_9,$fot(X_11))]]) ).
cnf(refute_0_56,plain,
( multiply(X_3,inverse(X_3)) != multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_10,inverse(X_10))))
| inverse(multiply(X_10,inverse(X_10))) != inverse(multiply(X_11,inverse(X_11)))
| multiply(X_3,inverse(X_3)) = multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_3,inverse(X_3)),multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_10,inverse(X_10))))) ),[1,1],$fot(inverse(multiply(X_11,inverse(X_11))))]]) ).
cnf(refute_0_57,plain,
( multiply(X_3,inverse(X_3)) != multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_10,inverse(X_10))))
| multiply(X_3,inverse(X_3)) = multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
multiply(X_3,inverse(X_3)) = multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),
inference(resolve,[$cnf( $equal(multiply(X_3,inverse(X_3)),multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_10,inverse(X_10))))) )],[refute_0_43,refute_0_57]) ).
cnf(refute_0_59,plain,
multiply(inverse(multiply(X_4,inverse(X_4))),inverse(inverse(multiply(X_4,inverse(X_4))))) = multiply(multiply(X_32,inverse(X_32)),inverse(multiply(X_33,inverse(X_33)))),
inference(subst,[],[refute_0_58:[bind(X_10,$fot(X_32)),bind(X_11,$fot(X_33)),bind(X_3,$fot(inverse(multiply(X_4,inverse(X_4)))))]]) ).
cnf(refute_0_60,plain,
( multiply(inverse(multiply(X_4,inverse(X_4))),inverse(inverse(multiply(X_4,inverse(X_4))))) != multiply(multiply(X_32,inverse(X_32)),inverse(multiply(X_33,inverse(X_33))))
| inverse(multiply(multiply(multiply(inverse(multiply(X_4,inverse(X_4))),inverse(inverse(multiply(X_4,inverse(X_4))))),B),multiply(D,inverse(D)))) != inverse(multiply(inverse(inverse(multiply(X_4,inverse(X_4)))),B))
| inverse(multiply(multiply(multiply(multiply(X_32,inverse(X_32)),inverse(multiply(X_33,inverse(X_33)))),B),multiply(D,inverse(D)))) = inverse(multiply(inverse(inverse(multiply(X_4,inverse(X_4)))),B)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(X_4,inverse(X_4))),inverse(inverse(multiply(X_4,inverse(X_4))))),B),multiply(D,inverse(D)))),inverse(multiply(inverse(inverse(multiply(X_4,inverse(X_4)))),B))) ),[0,0,0,0],$fot(multiply(multiply(X_32,inverse(X_32)),inverse(multiply(X_33,inverse(X_33)))))]]) ).
cnf(refute_0_61,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(X_4,inverse(X_4))),inverse(inverse(multiply(X_4,inverse(X_4))))),B),multiply(D,inverse(D)))) != inverse(multiply(inverse(inverse(multiply(X_4,inverse(X_4)))),B))
| inverse(multiply(multiply(multiply(multiply(X_32,inverse(X_32)),inverse(multiply(X_33,inverse(X_33)))),B),multiply(D,inverse(D)))) = inverse(multiply(inverse(inverse(multiply(X_4,inverse(X_4)))),B)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_4,inverse(X_4))),inverse(inverse(multiply(X_4,inverse(X_4))))),multiply(multiply(X_32,inverse(X_32)),inverse(multiply(X_33,inverse(X_33))))) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
inverse(multiply(multiply(multiply(multiply(X_32,inverse(X_32)),inverse(multiply(X_33,inverse(X_33)))),B),multiply(D,inverse(D)))) = inverse(multiply(inverse(inverse(multiply(X_4,inverse(X_4)))),B)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(X_4,inverse(X_4))),inverse(inverse(multiply(X_4,inverse(X_4))))),B),multiply(D,inverse(D)))),inverse(multiply(inverse(inverse(multiply(X_4,inverse(X_4)))),B))) )],[refute_0_42,refute_0_61]) ).
cnf(refute_0_63,plain,
inverse(multiply(multiply(multiply(inverse(multiply(multiply(inverse(multiply(X_45,inverse(X_45))),B),inverse(B))),inverse(multiply(X_45,inverse(X_45)))),B),multiply(D,inverse(D)))) = inverse(B),
inference(subst,[],[single_axiom:[bind(A,$fot(inverse(multiply(X_45,inverse(X_45))))),bind(C,$fot(inverse(B)))]]) ).
cnf(refute_0_64,plain,
inverse(multiply(multiply(multiply(X_15,multiply(inverse(multiply(multiply(X_14,inverse(X_14)),X_15)),X_14)),inverse(X_14)),multiply(X_13,inverse(X_13)))) = multiply(X_16,inverse(X_16)),
inference(subst,[],[refute_0_10:[bind(B,$fot(inverse(X_14))),bind(D,$fot(X_13)),bind(X_0,$fot(X_14)),bind(X_2,$fot(X_15)),bind(X_3,$fot(X_16))]]) ).
cnf(refute_0_65,plain,
multiply(X_3,inverse(X_3)) = multiply(X_14,inverse(X_14)),
inference(subst,[],[refute_0_14:[bind(D,$fot(X_14))]]) ).
cnf(refute_0_66,plain,
( multiply(X_3,inverse(X_3)) != multiply(X_14,inverse(X_14))
| multiply(X_14,inverse(X_14)) = multiply(X_3,inverse(X_3)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(multiply(X_3,inverse(X_3)))),bind(Y,$fot(multiply(X_14,inverse(X_14))))]]) ).
cnf(refute_0_67,plain,
multiply(X_14,inverse(X_14)) = multiply(X_3,inverse(X_3)),
inference(resolve,[$cnf( $equal(multiply(X_3,inverse(X_3)),multiply(X_14,inverse(X_14))) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
( multiply(X_14,inverse(X_14)) != multiply(X_3,inverse(X_3))
| inverse(multiply(multiply(multiply(X_15,multiply(inverse(multiply(multiply(X_14,inverse(X_14)),X_15)),X_14)),inverse(X_14)),multiply(X_13,inverse(X_13)))) != multiply(X_16,inverse(X_16))
| inverse(multiply(multiply(multiply(X_15,multiply(inverse(multiply(multiply(X_3,inverse(X_3)),X_15)),X_14)),inverse(X_14)),multiply(X_13,inverse(X_13)))) = multiply(X_16,inverse(X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(X_15,multiply(inverse(multiply(multiply(X_14,inverse(X_14)),X_15)),X_14)),inverse(X_14)),multiply(X_13,inverse(X_13)))),multiply(X_16,inverse(X_16))) ),[0,0,0,0,1,0,0,0],$fot(multiply(X_3,inverse(X_3)))]]) ).
cnf(refute_0_69,plain,
( inverse(multiply(multiply(multiply(X_15,multiply(inverse(multiply(multiply(X_14,inverse(X_14)),X_15)),X_14)),inverse(X_14)),multiply(X_13,inverse(X_13)))) != multiply(X_16,inverse(X_16))
| inverse(multiply(multiply(multiply(X_15,multiply(inverse(multiply(multiply(X_3,inverse(X_3)),X_15)),X_14)),inverse(X_14)),multiply(X_13,inverse(X_13)))) = multiply(X_16,inverse(X_16)) ),
inference(resolve,[$cnf( $equal(multiply(X_14,inverse(X_14)),multiply(X_3,inverse(X_3))) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
inverse(multiply(multiply(multiply(X_15,multiply(inverse(multiply(multiply(X_3,inverse(X_3)),X_15)),X_14)),inverse(X_14)),multiply(X_13,inverse(X_13)))) = multiply(X_16,inverse(X_16)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(X_15,multiply(inverse(multiply(multiply(X_14,inverse(X_14)),X_15)),X_14)),inverse(X_14)),multiply(X_13,inverse(X_13)))),multiply(X_16,inverse(X_16))) )],[refute_0_64,refute_0_69]) ).
cnf(refute_0_71,plain,
inverse(multiply(multiply(multiply(inverse(multiply(X_44,inverse(X_44))),multiply(inverse(multiply(multiply(X_44,inverse(X_44)),inverse(multiply(X_44,inverse(X_44))))),X_41)),inverse(X_41)),multiply(X_40,inverse(X_40)))) = multiply(X_43,inverse(X_43)),
inference(subst,[],[refute_0_70:[bind(X_13,$fot(X_40)),bind(X_14,$fot(X_41)),bind(X_15,$fot(inverse(multiply(X_44,inverse(X_44))))),bind(X_16,$fot(X_43)),bind(X_3,$fot(X_44))]]) ).
cnf(refute_0_72,plain,
multiply(X_3,inverse(X_3)) = multiply(multiply(X_44,inverse(X_44)),inverse(multiply(X_44,inverse(X_44)))),
inference(subst,[],[refute_0_14:[bind(D,$fot(multiply(X_44,inverse(X_44))))]]) ).
cnf(refute_0_73,plain,
( multiply(X_3,inverse(X_3)) != multiply(multiply(X_44,inverse(X_44)),inverse(multiply(X_44,inverse(X_44))))
| multiply(multiply(X_44,inverse(X_44)),inverse(multiply(X_44,inverse(X_44)))) = multiply(X_3,inverse(X_3)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(multiply(X_3,inverse(X_3)))),bind(Y,$fot(multiply(multiply(X_44,inverse(X_44)),inverse(multiply(X_44,inverse(X_44))))))]]) ).
cnf(refute_0_74,plain,
multiply(multiply(X_44,inverse(X_44)),inverse(multiply(X_44,inverse(X_44)))) = multiply(X_3,inverse(X_3)),
inference(resolve,[$cnf( $equal(multiply(X_3,inverse(X_3)),multiply(multiply(X_44,inverse(X_44)),inverse(multiply(X_44,inverse(X_44))))) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
( multiply(multiply(X_44,inverse(X_44)),inverse(multiply(X_44,inverse(X_44)))) != multiply(X_3,inverse(X_3))
| inverse(multiply(multiply(multiply(inverse(multiply(X_44,inverse(X_44))),multiply(inverse(multiply(multiply(X_44,inverse(X_44)),inverse(multiply(X_44,inverse(X_44))))),X_41)),inverse(X_41)),multiply(X_40,inverse(X_40)))) != multiply(X_43,inverse(X_43))
| inverse(multiply(multiply(multiply(inverse(multiply(X_44,inverse(X_44))),multiply(inverse(multiply(X_3,inverse(X_3))),X_41)),inverse(X_41)),multiply(X_40,inverse(X_40)))) = multiply(X_43,inverse(X_43)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(X_44,inverse(X_44))),multiply(inverse(multiply(multiply(X_44,inverse(X_44)),inverse(multiply(X_44,inverse(X_44))))),X_41)),inverse(X_41)),multiply(X_40,inverse(X_40)))),multiply(X_43,inverse(X_43))) ),[0,0,0,0,1,0,0],$fot(multiply(X_3,inverse(X_3)))]]) ).
cnf(refute_0_76,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(X_44,inverse(X_44))),multiply(inverse(multiply(multiply(X_44,inverse(X_44)),inverse(multiply(X_44,inverse(X_44))))),X_41)),inverse(X_41)),multiply(X_40,inverse(X_40)))) != multiply(X_43,inverse(X_43))
| inverse(multiply(multiply(multiply(inverse(multiply(X_44,inverse(X_44))),multiply(inverse(multiply(X_3,inverse(X_3))),X_41)),inverse(X_41)),multiply(X_40,inverse(X_40)))) = multiply(X_43,inverse(X_43)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_44,inverse(X_44)),inverse(multiply(X_44,inverse(X_44)))),multiply(X_3,inverse(X_3))) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
inverse(multiply(multiply(multiply(inverse(multiply(X_44,inverse(X_44))),multiply(inverse(multiply(X_3,inverse(X_3))),X_41)),inverse(X_41)),multiply(X_40,inverse(X_40)))) = multiply(X_43,inverse(X_43)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(X_44,inverse(X_44))),multiply(inverse(multiply(multiply(X_44,inverse(X_44)),inverse(multiply(X_44,inverse(X_44))))),X_41)),inverse(X_41)),multiply(X_40,inverse(X_40)))),multiply(X_43,inverse(X_43))) )],[refute_0_71,refute_0_76]) ).
cnf(refute_0_78,plain,
inverse(multiply(multiply(multiply(inverse(multiply(X_44,inverse(X_44))),multiply(inverse(multiply(X_3,inverse(X_3))),X_41)),inverse(X_41)),multiply(X_40,inverse(X_40)))) = inverse(multiply(multiply(inverse(multiply(X_3,inverse(X_3))),X_41),inverse(X_41))),
inference(subst,[],[refute_0_23:[bind(A,$fot(multiply(inverse(multiply(X_3,inverse(X_3))),X_41))),bind(B,$fot(inverse(X_41))),bind(D,$fot(X_40)),bind(X_4,$fot(X_44))]]) ).
cnf(refute_0_79,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(X_44,inverse(X_44))),multiply(inverse(multiply(X_3,inverse(X_3))),X_41)),inverse(X_41)),multiply(X_40,inverse(X_40)))) != multiply(X_43,inverse(X_43))
| inverse(multiply(multiply(multiply(inverse(multiply(X_44,inverse(X_44))),multiply(inverse(multiply(X_3,inverse(X_3))),X_41)),inverse(X_41)),multiply(X_40,inverse(X_40)))) != inverse(multiply(multiply(inverse(multiply(X_3,inverse(X_3))),X_41),inverse(X_41)))
| inverse(multiply(multiply(inverse(multiply(X_3,inverse(X_3))),X_41),inverse(X_41))) = multiply(X_43,inverse(X_43)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(X_44,inverse(X_44))),multiply(inverse(multiply(X_3,inverse(X_3))),X_41)),inverse(X_41)),multiply(X_40,inverse(X_40)))),multiply(X_43,inverse(X_43))) ),[0],$fot(inverse(multiply(multiply(inverse(multiply(X_3,inverse(X_3))),X_41),inverse(X_41))))]]) ).
cnf(refute_0_80,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(X_44,inverse(X_44))),multiply(inverse(multiply(X_3,inverse(X_3))),X_41)),inverse(X_41)),multiply(X_40,inverse(X_40)))) != multiply(X_43,inverse(X_43))
| inverse(multiply(multiply(inverse(multiply(X_3,inverse(X_3))),X_41),inverse(X_41))) = multiply(X_43,inverse(X_43)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(X_44,inverse(X_44))),multiply(inverse(multiply(X_3,inverse(X_3))),X_41)),inverse(X_41)),multiply(X_40,inverse(X_40)))),inverse(multiply(multiply(inverse(multiply(X_3,inverse(X_3))),X_41),inverse(X_41)))) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
inverse(multiply(multiply(inverse(multiply(X_3,inverse(X_3))),X_41),inverse(X_41))) = multiply(X_43,inverse(X_43)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(X_44,inverse(X_44))),multiply(inverse(multiply(X_3,inverse(X_3))),X_41)),inverse(X_41)),multiply(X_40,inverse(X_40)))),multiply(X_43,inverse(X_43))) )],[refute_0_77,refute_0_80]) ).
cnf(refute_0_82,plain,
inverse(multiply(multiply(inverse(multiply(X_45,inverse(X_45))),B),inverse(B))) = multiply(X_47,inverse(X_47)),
inference(subst,[],[refute_0_81:[bind(X_3,$fot(X_45)),bind(X_41,$fot(B)),bind(X_43,$fot(X_47))]]) ).
cnf(refute_0_83,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(multiply(inverse(multiply(X_45,inverse(X_45))),B),inverse(B))),inverse(multiply(X_45,inverse(X_45)))),B),multiply(D,inverse(D)))) != inverse(B)
| inverse(multiply(multiply(inverse(multiply(X_45,inverse(X_45))),B),inverse(B))) != multiply(X_47,inverse(X_47))
| inverse(multiply(multiply(multiply(multiply(X_47,inverse(X_47)),inverse(multiply(X_45,inverse(X_45)))),B),multiply(D,inverse(D)))) = inverse(B) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(inverse(multiply(X_45,inverse(X_45))),B),inverse(B))),inverse(multiply(X_45,inverse(X_45)))),B),multiply(D,inverse(D)))),inverse(B)) ),[0,0,0,0,0],$fot(multiply(X_47,inverse(X_47)))]]) ).
cnf(refute_0_84,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(multiply(inverse(multiply(X_45,inverse(X_45))),B),inverse(B))),inverse(multiply(X_45,inverse(X_45)))),B),multiply(D,inverse(D)))) != inverse(B)
| inverse(multiply(multiply(multiply(multiply(X_47,inverse(X_47)),inverse(multiply(X_45,inverse(X_45)))),B),multiply(D,inverse(D)))) = inverse(B) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(multiply(X_45,inverse(X_45))),B),inverse(B))),multiply(X_47,inverse(X_47))) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
inverse(multiply(multiply(multiply(multiply(X_47,inverse(X_47)),inverse(multiply(X_45,inverse(X_45)))),B),multiply(D,inverse(D)))) = inverse(B),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(inverse(multiply(X_45,inverse(X_45))),B),inverse(B))),inverse(multiply(X_45,inverse(X_45)))),B),multiply(D,inverse(D)))),inverse(B)) )],[refute_0_63,refute_0_84]) ).
cnf(refute_0_86,plain,
inverse(multiply(multiply(multiply(multiply(X_32,inverse(X_32)),inverse(multiply(X_33,inverse(X_33)))),B),multiply(D,inverse(D)))) = inverse(B),
inference(subst,[],[refute_0_85:[bind(X_45,$fot(X_33)),bind(X_47,$fot(X_32))]]) ).
cnf(refute_0_87,plain,
( inverse(multiply(multiply(multiply(multiply(X_32,inverse(X_32)),inverse(multiply(X_33,inverse(X_33)))),B),multiply(D,inverse(D)))) != inverse(B)
| inverse(multiply(multiply(multiply(multiply(X_32,inverse(X_32)),inverse(multiply(X_33,inverse(X_33)))),B),multiply(D,inverse(D)))) != inverse(multiply(inverse(inverse(multiply(X_4,inverse(X_4)))),B))
| inverse(B) = inverse(multiply(inverse(inverse(multiply(X_4,inverse(X_4)))),B)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(multiply(X_32,inverse(X_32)),inverse(multiply(X_33,inverse(X_33)))),B),multiply(D,inverse(D)))),inverse(multiply(inverse(inverse(multiply(X_4,inverse(X_4)))),B))) ),[0],$fot(inverse(B))]]) ).
cnf(refute_0_88,plain,
( inverse(multiply(multiply(multiply(multiply(X_32,inverse(X_32)),inverse(multiply(X_33,inverse(X_33)))),B),multiply(D,inverse(D)))) != inverse(multiply(inverse(inverse(multiply(X_4,inverse(X_4)))),B))
| inverse(B) = inverse(multiply(inverse(inverse(multiply(X_4,inverse(X_4)))),B)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(multiply(X_32,inverse(X_32)),inverse(multiply(X_33,inverse(X_33)))),B),multiply(D,inverse(D)))),inverse(B)) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
inverse(B) = inverse(multiply(inverse(inverse(multiply(X_4,inverse(X_4)))),B)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(multiply(X_32,inverse(X_32)),inverse(multiply(X_33,inverse(X_33)))),B),multiply(D,inverse(D)))),inverse(multiply(inverse(inverse(multiply(X_4,inverse(X_4)))),B))) )],[refute_0_62,refute_0_88]) ).
cnf(refute_0_90,plain,
( inverse(B) != inverse(multiply(inverse(inverse(multiply(X_4,inverse(X_4)))),B))
| inverse(multiply(inverse(inverse(multiply(X_4,inverse(X_4)))),B)) = inverse(B) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(inverse(B))),bind(Y,$fot(inverse(multiply(inverse(inverse(multiply(X_4,inverse(X_4)))),B))))]]) ).
cnf(refute_0_91,plain,
inverse(multiply(inverse(inverse(multiply(X_4,inverse(X_4)))),B)) = inverse(B),
inference(resolve,[$cnf( $equal(inverse(B),inverse(multiply(inverse(inverse(multiply(X_4,inverse(X_4)))),B))) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)) = inverse(X_48),
inference(subst,[],[refute_0_91:[bind(B,$fot(X_48)),bind(X_4,$fot(X_52))]]) ).
cnf(refute_0_93,plain,
multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))) = multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))))]]) ).
cnf(refute_0_94,plain,
( multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))) != multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3)))
| inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)) != inverse(X_48)
| multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))) = multiply(inverse(X_48),multiply(X_3,inverse(X_3))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3)))) ),[1,0],$fot(inverse(X_48))]]) ).
cnf(refute_0_95,plain,
( inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)) != inverse(X_48)
| multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))) = multiply(inverse(X_48),multiply(X_3,inverse(X_3))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3)))) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))) = multiply(inverse(X_48),multiply(X_3,inverse(X_3))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),inverse(X_48)) )],[refute_0_92,refute_0_95]) ).
cnf(refute_0_97,plain,
multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48) = multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48))]]) ).
cnf(refute_0_98,plain,
( multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48) != multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48)
| multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))) != multiply(inverse(X_48),multiply(X_3,inverse(X_3)))
| multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48) = multiply(multiply(inverse(X_48),multiply(X_3,inverse(X_3))),X_48) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48),multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48)) ),[1,0],$fot(multiply(inverse(X_48),multiply(X_3,inverse(X_3))))]]) ).
cnf(refute_0_99,plain,
( multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))) != multiply(inverse(X_48),multiply(X_3,inverse(X_3)))
| multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48) = multiply(multiply(inverse(X_48),multiply(X_3,inverse(X_3))),X_48) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48),multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48)) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48) = multiply(multiply(inverse(X_48),multiply(X_3,inverse(X_3))),X_48),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),multiply(inverse(X_48),multiply(X_3,inverse(X_3)))) )],[refute_0_96,refute_0_99]) ).
cnf(refute_0_101,plain,
multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49))) = multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49))),
introduced(tautology,[refl,[$fot(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49))))]]) ).
cnf(refute_0_102,plain,
( multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49))) != multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49)))
| multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48) != multiply(multiply(inverse(X_48),multiply(X_3,inverse(X_3))),X_48)
| multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49))) = multiply(multiply(multiply(inverse(X_48),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49))),multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49)))) ),[1,0],$fot(multiply(multiply(inverse(X_48),multiply(X_3,inverse(X_3))),X_48))]]) ).
cnf(refute_0_103,plain,
( multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48) != multiply(multiply(inverse(X_48),multiply(X_3,inverse(X_3))),X_48)
| multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49))) = multiply(multiply(multiply(inverse(X_48),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49))),multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49)))) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49))) = multiply(multiply(multiply(inverse(X_48),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48),multiply(multiply(inverse(X_48),multiply(X_3,inverse(X_3))),X_48)) )],[refute_0_100,refute_0_103]) ).
cnf(refute_0_105,plain,
inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49)))) = inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49)))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49)))))]]) ).
cnf(refute_0_106,plain,
( multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49))) != multiply(multiply(multiply(inverse(X_48),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49)))
| inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49)))) != inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49))))
| inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49)))) = inverse(multiply(multiply(multiply(inverse(X_48),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49)))),inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49))))) ),[1,0],$fot(multiply(multiply(multiply(inverse(X_48),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49))))]]) ).
cnf(refute_0_107,plain,
( multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49))) != multiply(multiply(multiply(inverse(X_48),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49)))
| inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49)))) = inverse(multiply(multiply(multiply(inverse(X_48),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49)))),inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49))))) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49)))) = inverse(multiply(multiply(multiply(inverse(X_48),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49)))),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49))),multiply(multiply(multiply(inverse(X_48),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49)))) )],[refute_0_104,refute_0_107]) ).
cnf(refute_0_109,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49)))) != multiply(X_51,inverse(X_51))
| inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49)))) != inverse(multiply(multiply(multiply(inverse(X_48),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49))))
| inverse(multiply(multiply(multiply(inverse(X_48),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49)))) = multiply(X_51,inverse(X_51)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49)))),multiply(X_51,inverse(X_51))) ),[0],$fot(inverse(multiply(multiply(multiply(inverse(X_48),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49)))))]]) ).
cnf(refute_0_110,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49)))) != multiply(X_51,inverse(X_51))
| inverse(multiply(multiply(multiply(inverse(X_48),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49)))) = multiply(X_51,inverse(X_51)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49)))),inverse(multiply(multiply(multiply(inverse(X_48),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49))))) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
inverse(multiply(multiply(multiply(inverse(X_48),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49)))) = multiply(X_51,inverse(X_51)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_52,inverse(X_52)))),X_48)),multiply(X_3,inverse(X_3))),X_48),multiply(X_49,inverse(X_49)))),multiply(X_51,inverse(X_51))) )],[refute_0_41,refute_0_110]) ).
cnf(refute_0_112,plain,
inverse(multiply(multiply(multiply(inverse(multiply(X_4,inverse(X_4))),multiply(X_56,inverse(X_56))),multiply(X_4,inverse(X_4))),multiply(D,inverse(D)))) = multiply(X_59,inverse(X_59)),
inference(subst,[],[refute_0_111:[bind(X_3,$fot(X_56)),bind(X_48,$fot(multiply(X_4,inverse(X_4)))),bind(X_49,$fot(D)),bind(X_51,$fot(X_59))]]) ).
cnf(refute_0_113,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(X_4,inverse(X_4))),multiply(X_56,inverse(X_56))),multiply(X_4,inverse(X_4))),multiply(D,inverse(D)))) != multiply(X_59,inverse(X_59))
| inverse(multiply(multiply(multiply(inverse(multiply(X_4,inverse(X_4))),multiply(X_56,inverse(X_56))),multiply(X_4,inverse(X_4))),multiply(D,inverse(D)))) != inverse(multiply(multiply(X_56,inverse(X_56)),multiply(X_4,inverse(X_4))))
| multiply(X_59,inverse(X_59)) = inverse(multiply(multiply(X_56,inverse(X_56)),multiply(X_4,inverse(X_4)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(X_4,inverse(X_4))),multiply(X_56,inverse(X_56))),multiply(X_4,inverse(X_4))),multiply(D,inverse(D)))),inverse(multiply(multiply(X_56,inverse(X_56)),multiply(X_4,inverse(X_4))))) ),[0],$fot(multiply(X_59,inverse(X_59)))]]) ).
cnf(refute_0_114,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(X_4,inverse(X_4))),multiply(X_56,inverse(X_56))),multiply(X_4,inverse(X_4))),multiply(D,inverse(D)))) != inverse(multiply(multiply(X_56,inverse(X_56)),multiply(X_4,inverse(X_4))))
| multiply(X_59,inverse(X_59)) = inverse(multiply(multiply(X_56,inverse(X_56)),multiply(X_4,inverse(X_4)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(X_4,inverse(X_4))),multiply(X_56,inverse(X_56))),multiply(X_4,inverse(X_4))),multiply(D,inverse(D)))),multiply(X_59,inverse(X_59))) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
multiply(X_59,inverse(X_59)) = inverse(multiply(multiply(X_56,inverse(X_56)),multiply(X_4,inverse(X_4)))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(X_4,inverse(X_4))),multiply(X_56,inverse(X_56))),multiply(X_4,inverse(X_4))),multiply(D,inverse(D)))),inverse(multiply(multiply(X_56,inverse(X_56)),multiply(X_4,inverse(X_4))))) )],[refute_0_24,refute_0_114]) ).
cnf(refute_0_116,plain,
multiply(X_77,inverse(X_77)) = inverse(multiply(multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),inverse(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))))),multiply(X_75,inverse(X_75)))),
inference(subst,[],[refute_0_115:[bind(X_4,$fot(X_75)),bind(X_56,$fot(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))))),bind(X_59,$fot(X_77))]]) ).
cnf(refute_0_117,plain,
inverse(multiply(X_6,inverse(X_6))) = inverse(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_10,inverse(X_10))))),
inference(subst,[],[refute_0_54:[bind(X_9,$fot(multiply(X_10,inverse(X_10))))]]) ).
cnf(refute_0_118,plain,
( inverse(multiply(X_10,inverse(X_10))) != inverse(multiply(X_11,inverse(X_11)))
| inverse(multiply(X_6,inverse(X_6))) != inverse(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_10,inverse(X_10)))))
| inverse(multiply(X_6,inverse(X_6))) = inverse(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_6,inverse(X_6))),inverse(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_10,inverse(X_10)))))) ),[1,0,1],$fot(inverse(multiply(X_11,inverse(X_11))))]]) ).
cnf(refute_0_119,plain,
( inverse(multiply(X_6,inverse(X_6))) != inverse(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_10,inverse(X_10)))))
| inverse(multiply(X_6,inverse(X_6))) = inverse(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))) )],[refute_0_55,refute_0_118]) ).
cnf(refute_0_120,plain,
inverse(multiply(X_6,inverse(X_6))) = inverse(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11))))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_6,inverse(X_6))),inverse(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_10,inverse(X_10)))))) )],[refute_0_117,refute_0_119]) ).
cnf(refute_0_121,plain,
( inverse(multiply(X_6,inverse(X_6))) != inverse(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))))
| inverse(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11))))) = inverse(multiply(X_6,inverse(X_6))) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(inverse(multiply(X_6,inverse(X_6))))),bind(Y,$fot(inverse(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))))))]]) ).
cnf(refute_0_122,plain,
inverse(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11))))) = inverse(multiply(X_6,inverse(X_6))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_6,inverse(X_6))),inverse(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))))) )],[refute_0_120,refute_0_121]) ).
cnf(refute_0_123,plain,
( multiply(X_77,inverse(X_77)) != inverse(multiply(multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),inverse(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))))),multiply(X_75,inverse(X_75))))
| inverse(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11))))) != inverse(multiply(X_6,inverse(X_6)))
| multiply(X_77,inverse(X_77)) = inverse(multiply(multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),inverse(multiply(X_6,inverse(X_6)))),multiply(X_75,inverse(X_75)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_77,inverse(X_77)),inverse(multiply(multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),inverse(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))))),multiply(X_75,inverse(X_75))))) ),[1,0,0,1],$fot(inverse(multiply(X_6,inverse(X_6))))]]) ).
cnf(refute_0_124,plain,
( multiply(X_77,inverse(X_77)) != inverse(multiply(multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),inverse(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))))),multiply(X_75,inverse(X_75))))
| multiply(X_77,inverse(X_77)) = inverse(multiply(multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),inverse(multiply(X_6,inverse(X_6)))),multiply(X_75,inverse(X_75)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11))))),inverse(multiply(X_6,inverse(X_6)))) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
multiply(X_77,inverse(X_77)) = inverse(multiply(multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),inverse(multiply(X_6,inverse(X_6)))),multiply(X_75,inverse(X_75)))),
inference(resolve,[$cnf( $equal(multiply(X_77,inverse(X_77)),inverse(multiply(multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),inverse(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))))),multiply(X_75,inverse(X_75))))) )],[refute_0_116,refute_0_124]) ).
cnf(refute_0_126,plain,
inverse(multiply(multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),inverse(multiply(X_6,inverse(X_6)))),multiply(X_75,inverse(X_75)))) = inverse(inverse(multiply(X_6,inverse(X_6)))),
inference(subst,[],[refute_0_85:[bind(B,$fot(inverse(multiply(X_6,inverse(X_6))))),bind(D,$fot(X_75)),bind(X_45,$fot(X_11)),bind(X_47,$fot(X_10))]]) ).
cnf(refute_0_127,plain,
( multiply(X_77,inverse(X_77)) != inverse(multiply(multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),inverse(multiply(X_6,inverse(X_6)))),multiply(X_75,inverse(X_75))))
| inverse(multiply(multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),inverse(multiply(X_6,inverse(X_6)))),multiply(X_75,inverse(X_75)))) != inverse(inverse(multiply(X_6,inverse(X_6))))
| multiply(X_77,inverse(X_77)) = inverse(inverse(multiply(X_6,inverse(X_6)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_77,inverse(X_77)),inverse(inverse(multiply(X_6,inverse(X_6))))) ),[0],$fot(inverse(multiply(multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),inverse(multiply(X_6,inverse(X_6)))),multiply(X_75,inverse(X_75)))))]]) ).
cnf(refute_0_128,plain,
( multiply(X_77,inverse(X_77)) != inverse(multiply(multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),inverse(multiply(X_6,inverse(X_6)))),multiply(X_75,inverse(X_75))))
| multiply(X_77,inverse(X_77)) = inverse(inverse(multiply(X_6,inverse(X_6)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),inverse(multiply(X_6,inverse(X_6)))),multiply(X_75,inverse(X_75)))),inverse(inverse(multiply(X_6,inverse(X_6))))) )],[refute_0_126,refute_0_127]) ).
cnf(refute_0_129,plain,
multiply(X_77,inverse(X_77)) = inverse(inverse(multiply(X_6,inverse(X_6)))),
inference(resolve,[$cnf( $equal(multiply(X_77,inverse(X_77)),inverse(multiply(multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),inverse(multiply(X_6,inverse(X_6)))),multiply(X_75,inverse(X_75))))) )],[refute_0_125,refute_0_128]) ).
cnf(refute_0_130,plain,
multiply(A,inverse(A)) = inverse(inverse(multiply(X_78,inverse(X_78)))),
inference(subst,[],[refute_0_129:[bind(X_6,$fot(X_78)),bind(X_77,$fot(A))]]) ).
cnf(refute_0_131,plain,
( multiply(A,inverse(A)) != inverse(inverse(multiply(X_78,inverse(X_78))))
| inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,inverse(A)),C)),A),inverse(A)),multiply(D,inverse(D)))) != C
| inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D)))) = C ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,inverse(A)),C)),A),inverse(A)),multiply(D,inverse(D)))),C) ),[0,0,0,0,0,0,0],$fot(inverse(inverse(multiply(X_78,inverse(X_78)))))]]) ).
cnf(refute_0_132,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,inverse(A)),C)),A),inverse(A)),multiply(D,inverse(D)))) != C
| inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D)))) = C ),
inference(resolve,[$cnf( $equal(multiply(A,inverse(A)),inverse(inverse(multiply(X_78,inverse(X_78))))) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D)))) = C,
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,inverse(A)),C)),A),inverse(A)),multiply(D,inverse(D)))),C) )],[refute_0_0,refute_0_132]) ).
cnf(refute_0_134,plain,
inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)) = inverse(C),
inference(subst,[],[refute_0_91:[bind(B,$fot(C)),bind(X_4,$fot(X_78))]]) ).
cnf(refute_0_135,plain,
multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A) = multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A))]]) ).
cnf(refute_0_136,plain,
( multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A) != multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A)
| inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)) != inverse(C)
| multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A) = multiply(inverse(C),A) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A)) ),[1,0],$fot(inverse(C))]]) ).
cnf(refute_0_137,plain,
( inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)) != inverse(C)
| multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A) = multiply(inverse(C),A) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A)) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A) = multiply(inverse(C),A),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),inverse(C)) )],[refute_0_134,refute_0_137]) ).
cnf(refute_0_139,plain,
multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)) = multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)))]]) ).
cnf(refute_0_140,plain,
( multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)) != multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A))
| multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A) != multiply(inverse(C),A)
| multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)) = multiply(multiply(inverse(C),A),inverse(A)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A))) ),[1,0],$fot(multiply(inverse(C),A))]]) ).
cnf(refute_0_141,plain,
( multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A) != multiply(inverse(C),A)
| multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)) = multiply(multiply(inverse(C),A),inverse(A)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A))) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)) = multiply(multiply(inverse(C),A),inverse(A)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),multiply(inverse(C),A)) )],[refute_0_138,refute_0_141]) ).
cnf(refute_0_143,plain,
multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D))) = multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D))),
introduced(tautology,[refl,[$fot(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D))))]]) ).
cnf(refute_0_144,plain,
( multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D))) != multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D)))
| multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)) != multiply(multiply(inverse(C),A),inverse(A))
| multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D))) = multiply(multiply(multiply(inverse(C),A),inverse(A)),multiply(D,inverse(D))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D))),multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D)))) ),[1,0],$fot(multiply(multiply(inverse(C),A),inverse(A)))]]) ).
cnf(refute_0_145,plain,
( multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)) != multiply(multiply(inverse(C),A),inverse(A))
| multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D))) = multiply(multiply(multiply(inverse(C),A),inverse(A)),multiply(D,inverse(D))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D))),multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D)))) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D))) = multiply(multiply(multiply(inverse(C),A),inverse(A)),multiply(D,inverse(D))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(multiply(inverse(C),A),inverse(A))) )],[refute_0_142,refute_0_145]) ).
cnf(refute_0_147,plain,
inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D)))) = inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D)))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D)))))]]) ).
cnf(refute_0_148,plain,
( multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D))) != multiply(multiply(multiply(inverse(C),A),inverse(A)),multiply(D,inverse(D)))
| inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D)))) != inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D))))
| inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D)))) = inverse(multiply(multiply(multiply(inverse(C),A),inverse(A)),multiply(D,inverse(D)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D)))),inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D))))) ),[1,0],$fot(multiply(multiply(multiply(inverse(C),A),inverse(A)),multiply(D,inverse(D))))]]) ).
cnf(refute_0_149,plain,
( multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D))) != multiply(multiply(multiply(inverse(C),A),inverse(A)),multiply(D,inverse(D)))
| inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D)))) = inverse(multiply(multiply(multiply(inverse(C),A),inverse(A)),multiply(D,inverse(D)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D)))),inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D))))) )],[refute_0_147,refute_0_148]) ).
cnf(refute_0_150,plain,
inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D)))) = inverse(multiply(multiply(multiply(inverse(C),A),inverse(A)),multiply(D,inverse(D)))),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D))),multiply(multiply(multiply(inverse(C),A),inverse(A)),multiply(D,inverse(D)))) )],[refute_0_146,refute_0_149]) ).
cnf(refute_0_151,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D)))) != C
| inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D)))) != inverse(multiply(multiply(multiply(inverse(C),A),inverse(A)),multiply(D,inverse(D))))
| inverse(multiply(multiply(multiply(inverse(C),A),inverse(A)),multiply(D,inverse(D)))) = C ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D)))),C) ),[0],$fot(inverse(multiply(multiply(multiply(inverse(C),A),inverse(A)),multiply(D,inverse(D)))))]]) ).
cnf(refute_0_152,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D)))) != C
| inverse(multiply(multiply(multiply(inverse(C),A),inverse(A)),multiply(D,inverse(D)))) = C ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D)))),inverse(multiply(multiply(multiply(inverse(C),A),inverse(A)),multiply(D,inverse(D))))) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
inverse(multiply(multiply(multiply(inverse(C),A),inverse(A)),multiply(D,inverse(D)))) = C,
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D)))),C) )],[refute_0_133,refute_0_152]) ).
cnf(refute_0_154,plain,
inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A),inverse(A)),multiply(D,inverse(D)))) = multiply(multiply(X_4,inverse(X_4)),C),
inference(subst,[],[refute_0_153:[bind(C,$fot(multiply(multiply(X_4,inverse(X_4)),C)))]]) ).
cnf(refute_0_155,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A),inverse(A)),multiply(D,inverse(D)))) != C
| inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A),inverse(A)),multiply(D,inverse(D)))) != multiply(multiply(X_4,inverse(X_4)),C)
| multiply(multiply(X_4,inverse(X_4)),C) = C ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A),inverse(A)),multiply(D,inverse(D)))),C) ),[0],$fot(multiply(multiply(X_4,inverse(X_4)),C))]]) ).
cnf(refute_0_156,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A),inverse(A)),multiply(D,inverse(D)))) != C
| multiply(multiply(X_4,inverse(X_4)),C) = C ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A),inverse(A)),multiply(D,inverse(D)))),multiply(multiply(X_4,inverse(X_4)),C)) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
multiply(multiply(X_4,inverse(X_4)),C) = C,
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A),inverse(A)),multiply(D,inverse(D)))),C) )],[refute_0_18,refute_0_156]) ).
cnf(refute_0_158,plain,
inverse(multiply(X_6,inverse(X_6))) = inverse(multiply(multiply(X_81,inverse(X_81)),inverse(multiply(X_81,inverse(X_81))))),
inference(subst,[],[refute_0_54:[bind(X_9,$fot(multiply(X_81,inverse(X_81))))]]) ).
cnf(refute_0_159,plain,
multiply(multiply(X_81,inverse(X_81)),inverse(multiply(X_81,inverse(X_81)))) = inverse(multiply(X_81,inverse(X_81))),
inference(subst,[],[refute_0_157:[bind(C,$fot(inverse(multiply(X_81,inverse(X_81))))),bind(X_4,$fot(X_81))]]) ).
cnf(refute_0_160,plain,
( multiply(multiply(X_81,inverse(X_81)),inverse(multiply(X_81,inverse(X_81)))) != inverse(multiply(X_81,inverse(X_81)))
| inverse(multiply(X_6,inverse(X_6))) != inverse(multiply(multiply(X_81,inverse(X_81)),inverse(multiply(X_81,inverse(X_81)))))
| inverse(multiply(X_6,inverse(X_6))) = inverse(inverse(multiply(X_81,inverse(X_81)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_6,inverse(X_6))),inverse(multiply(multiply(X_81,inverse(X_81)),inverse(multiply(X_81,inverse(X_81)))))) ),[1,0],$fot(inverse(multiply(X_81,inverse(X_81))))]]) ).
cnf(refute_0_161,plain,
( inverse(multiply(X_6,inverse(X_6))) != inverse(multiply(multiply(X_81,inverse(X_81)),inverse(multiply(X_81,inverse(X_81)))))
| inverse(multiply(X_6,inverse(X_6))) = inverse(inverse(multiply(X_81,inverse(X_81)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_81,inverse(X_81)),inverse(multiply(X_81,inverse(X_81)))),inverse(multiply(X_81,inverse(X_81)))) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
inverse(multiply(X_6,inverse(X_6))) = inverse(inverse(multiply(X_81,inverse(X_81)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_6,inverse(X_6))),inverse(multiply(multiply(X_81,inverse(X_81)),inverse(multiply(X_81,inverse(X_81)))))) )],[refute_0_158,refute_0_161]) ).
cnf(refute_0_163,plain,
inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_10,inverse(X_10)))),multiply(D,inverse(D)))) = C,
inference(subst,[],[refute_0_18:[bind(A,$fot(multiply(X_10,inverse(X_10))))]]) ).
cnf(refute_0_164,plain,
( inverse(multiply(X_10,inverse(X_10))) != inverse(multiply(X_11,inverse(X_11)))
| inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_10,inverse(X_10)))),multiply(D,inverse(D)))) != C
| inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))),multiply(D,inverse(D)))) = C ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_10,inverse(X_10)))),multiply(D,inverse(D)))),C) ),[0,0,0,1],$fot(inverse(multiply(X_11,inverse(X_11))))]]) ).
cnf(refute_0_165,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_10,inverse(X_10)))),multiply(D,inverse(D)))) != C
| inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))),multiply(D,inverse(D)))) = C ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))) )],[refute_0_55,refute_0_164]) ).
cnf(refute_0_166,plain,
inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))),multiply(D,inverse(D)))) = C,
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_10,inverse(X_10)))),multiply(D,inverse(D)))),C) )],[refute_0_163,refute_0_165]) ).
cnf(refute_0_167,plain,
inverse(multiply(multiply(X_4,inverse(X_4)),C)) = inverse(multiply(multiply(X_4,inverse(X_4)),C)),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_4,inverse(X_4)),C)))]]) ).
cnf(refute_0_168,plain,
( multiply(multiply(X_4,inverse(X_4)),C) != C
| inverse(multiply(multiply(X_4,inverse(X_4)),C)) != inverse(multiply(multiply(X_4,inverse(X_4)),C))
| inverse(multiply(multiply(X_4,inverse(X_4)),C)) = inverse(C) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_4,inverse(X_4)),C)),inverse(multiply(multiply(X_4,inverse(X_4)),C))) ),[1,0],$fot(C)]]) ).
cnf(refute_0_169,plain,
( multiply(multiply(X_4,inverse(X_4)),C) != C
| inverse(multiply(multiply(X_4,inverse(X_4)),C)) = inverse(C) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_4,inverse(X_4)),C)),inverse(multiply(multiply(X_4,inverse(X_4)),C))) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
inverse(multiply(multiply(X_4,inverse(X_4)),C)) = inverse(C),
inference(resolve,[$cnf( $equal(multiply(multiply(X_4,inverse(X_4)),C),C) )],[refute_0_157,refute_0_169]) ).
cnf(refute_0_171,plain,
multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))) = multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))))]]) ).
cnf(refute_0_172,plain,
( multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))) != multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10)))
| inverse(multiply(multiply(X_4,inverse(X_4)),C)) != inverse(C)
| multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))) = multiply(inverse(C),multiply(X_10,inverse(X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10)))) ),[1,0],$fot(inverse(C))]]) ).
cnf(refute_0_173,plain,
( inverse(multiply(multiply(X_4,inverse(X_4)),C)) != inverse(C)
| multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))) = multiply(inverse(C),multiply(X_10,inverse(X_10))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10)))) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))) = multiply(inverse(C),multiply(X_10,inverse(X_10))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_4,inverse(X_4)),C)),inverse(C)) )],[refute_0_170,refute_0_173]) ).
cnf(refute_0_175,plain,
multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))) = multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))))]]) ).
cnf(refute_0_176,plain,
( multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))) != multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))
| multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))) != multiply(inverse(C),multiply(X_10,inverse(X_10)))
| multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))) = multiply(multiply(inverse(C),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))),multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))) ),[1,0],$fot(multiply(inverse(C),multiply(X_10,inverse(X_10))))]]) ).
cnf(refute_0_177,plain,
( multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))) != multiply(inverse(C),multiply(X_10,inverse(X_10)))
| multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))) = multiply(multiply(inverse(C),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))),multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))) = multiply(multiply(inverse(C),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),multiply(inverse(C),multiply(X_10,inverse(X_10)))) )],[refute_0_174,refute_0_177]) ).
cnf(refute_0_179,plain,
inverse(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))) = inverse(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))))]]) ).
cnf(refute_0_180,plain,
( multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))) != multiply(multiply(inverse(C),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))
| inverse(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))) != inverse(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))))
| inverse(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))) = inverse(multiply(multiply(inverse(C),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))),inverse(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))))) ),[1,0],$fot(multiply(multiply(inverse(C),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))))]]) ).
cnf(refute_0_181,plain,
( multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))) != multiply(multiply(inverse(C),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))
| inverse(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))) = inverse(multiply(multiply(inverse(C),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))),inverse(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))))) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
inverse(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))) = inverse(multiply(multiply(inverse(C),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))),multiply(multiply(inverse(C),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))) )],[refute_0_178,refute_0_181]) ).
cnf(refute_0_183,plain,
multiply(inverse(multiply(X_4,inverse(X_4))),inverse(inverse(multiply(X_4,inverse(X_4))))) = inverse(inverse(multiply(X_78,inverse(X_78)))),
inference(subst,[],[refute_0_129:[bind(X_6,$fot(X_78)),bind(X_77,$fot(inverse(multiply(X_4,inverse(X_4)))))]]) ).
cnf(refute_0_184,plain,
( multiply(inverse(multiply(X_4,inverse(X_4))),inverse(inverse(multiply(X_4,inverse(X_4))))) != inverse(inverse(multiply(X_78,inverse(X_78))))
| inverse(multiply(multiply(multiply(inverse(multiply(X_4,inverse(X_4))),inverse(inverse(multiply(X_4,inverse(X_4))))),B),multiply(D,inverse(D)))) != inverse(multiply(inverse(inverse(multiply(X_4,inverse(X_4)))),B))
| inverse(multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D)))) = inverse(multiply(inverse(inverse(multiply(X_4,inverse(X_4)))),B)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(X_4,inverse(X_4))),inverse(inverse(multiply(X_4,inverse(X_4))))),B),multiply(D,inverse(D)))),inverse(multiply(inverse(inverse(multiply(X_4,inverse(X_4)))),B))) ),[0,0,0,0],$fot(inverse(inverse(multiply(X_78,inverse(X_78)))))]]) ).
cnf(refute_0_185,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(X_4,inverse(X_4))),inverse(inverse(multiply(X_4,inverse(X_4))))),B),multiply(D,inverse(D)))) != inverse(multiply(inverse(inverse(multiply(X_4,inverse(X_4)))),B))
| inverse(multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D)))) = inverse(multiply(inverse(inverse(multiply(X_4,inverse(X_4)))),B)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_4,inverse(X_4))),inverse(inverse(multiply(X_4,inverse(X_4))))),inverse(inverse(multiply(X_78,inverse(X_78))))) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
inverse(multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D)))) = inverse(multiply(inverse(inverse(multiply(X_4,inverse(X_4)))),B)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(X_4,inverse(X_4))),inverse(inverse(multiply(X_4,inverse(X_4))))),B),multiply(D,inverse(D)))),inverse(multiply(inverse(inverse(multiply(X_4,inverse(X_4)))),B))) )],[refute_0_42,refute_0_185]) ).
cnf(refute_0_187,plain,
( inverse(multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D)))) != inverse(multiply(inverse(inverse(multiply(X_4,inverse(X_4)))),B))
| inverse(multiply(inverse(inverse(multiply(X_4,inverse(X_4)))),B)) != inverse(B)
| inverse(multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D)))) = inverse(B) ),
introduced(tautology,[equality,[$cnf( ~ $equal(inverse(multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D)))),inverse(B)) ),[0],$fot(inverse(multiply(inverse(inverse(multiply(X_4,inverse(X_4)))),B)))]]) ).
cnf(refute_0_188,plain,
( inverse(multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D)))) != inverse(multiply(inverse(inverse(multiply(X_4,inverse(X_4)))),B))
| inverse(multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D)))) = inverse(B) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(multiply(X_4,inverse(X_4)))),B)),inverse(B)) )],[refute_0_91,refute_0_187]) ).
cnf(refute_0_189,plain,
inverse(multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D)))) = inverse(B),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D)))),inverse(multiply(inverse(inverse(multiply(X_4,inverse(X_4)))),B))) )],[refute_0_186,refute_0_188]) ).
cnf(refute_0_190,plain,
inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D)))) = multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C),
inference(subst,[],[refute_0_153:[bind(C,$fot(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)))]]) ).
cnf(refute_0_191,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D)))) != C
| inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D)))) != multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)
| multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C) = C ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D)))),C) ),[0],$fot(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C))]]) ).
cnf(refute_0_192,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D)))) != C
| multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C) = C ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D)))),multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C) = C,
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),C)),A),inverse(A)),multiply(D,inverse(D)))),C) )],[refute_0_133,refute_0_192]) ).
cnf(refute_0_194,plain,
multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B) = B,
inference(subst,[],[refute_0_193:[bind(C,$fot(B))]]) ).
cnf(refute_0_195,plain,
multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D))) = multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D))),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D))))]]) ).
cnf(refute_0_196,plain,
( multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D))) != multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D)))
| multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B) != B
| multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D))) = multiply(B,multiply(D,inverse(D))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D))),multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D)))) ),[1,0],$fot(B)]]) ).
cnf(refute_0_197,plain,
( multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B) != B
| multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D))) = multiply(B,multiply(D,inverse(D))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D))),multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D)))) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D))) = multiply(B,multiply(D,inverse(D))),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),B) )],[refute_0_194,refute_0_197]) ).
cnf(refute_0_199,plain,
inverse(multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D)))) = inverse(multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D)))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D)))))]]) ).
cnf(refute_0_200,plain,
( multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D))) != multiply(B,multiply(D,inverse(D)))
| inverse(multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D)))) != inverse(multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D))))
| inverse(multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D)))) = inverse(multiply(B,multiply(D,inverse(D)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D)))),inverse(multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D))))) ),[1,0],$fot(multiply(B,multiply(D,inverse(D))))]]) ).
cnf(refute_0_201,plain,
( multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D))) != multiply(B,multiply(D,inverse(D)))
| inverse(multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D)))) = inverse(multiply(B,multiply(D,inverse(D)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D)))),inverse(multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D))))) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
inverse(multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D)))) = inverse(multiply(B,multiply(D,inverse(D)))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D))),multiply(B,multiply(D,inverse(D)))) )],[refute_0_198,refute_0_201]) ).
cnf(refute_0_203,plain,
( inverse(multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D)))) != inverse(B)
| inverse(multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D)))) != inverse(multiply(B,multiply(D,inverse(D))))
| inverse(multiply(B,multiply(D,inverse(D)))) = inverse(B) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D)))),inverse(B)) ),[0],$fot(inverse(multiply(B,multiply(D,inverse(D)))))]]) ).
cnf(refute_0_204,plain,
( inverse(multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D)))) != inverse(B)
| inverse(multiply(B,multiply(D,inverse(D)))) = inverse(B) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D)))),inverse(multiply(B,multiply(D,inverse(D))))) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
inverse(multiply(B,multiply(D,inverse(D)))) = inverse(B),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(inverse(multiply(X_78,inverse(X_78)))),B),multiply(D,inverse(D)))),inverse(B)) )],[refute_0_189,refute_0_204]) ).
cnf(refute_0_206,plain,
inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))),multiply(D,inverse(D)))) = inverse(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))),
inference(subst,[],[refute_0_205:[bind(B,$fot(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))))]]) ).
cnf(refute_0_207,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_208,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_29,refute_0_207]) ).
cnf(refute_0_209,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))),multiply(D,inverse(D)))) != inverse(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))))
| inverse(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))) != inverse(multiply(multiply(inverse(C),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))))
| inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))),multiply(D,inverse(D)))) = inverse(multiply(multiply(inverse(C),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))) ),
inference(subst,[],[refute_0_208:[bind(X,$fot(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))),multiply(D,inverse(D)))))),bind(Y,$fot(inverse(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))))),bind(Z,$fot(inverse(multiply(multiply(inverse(C),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))))))]]) ).
cnf(refute_0_210,plain,
( inverse(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))) != inverse(multiply(multiply(inverse(C),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))))
| inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))),multiply(D,inverse(D)))) = inverse(multiply(multiply(inverse(C),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))),multiply(D,inverse(D)))),inverse(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))))) )],[refute_0_206,refute_0_209]) ).
cnf(refute_0_211,plain,
inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))),multiply(D,inverse(D)))) = inverse(multiply(multiply(inverse(C),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))),inverse(multiply(multiply(inverse(C),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))))) )],[refute_0_182,refute_0_210]) ).
cnf(refute_0_212,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))),multiply(D,inverse(D)))) != C
| inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))),multiply(D,inverse(D)))) != inverse(multiply(multiply(inverse(C),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))))
| inverse(multiply(multiply(inverse(C),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))) = C ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))),multiply(D,inverse(D)))),C) ),[0],$fot(inverse(multiply(multiply(inverse(C),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))))]]) ).
cnf(refute_0_213,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))),multiply(D,inverse(D)))) != C
| inverse(multiply(multiply(inverse(C),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))) = C ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))),multiply(D,inverse(D)))),inverse(multiply(multiply(inverse(C),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))))) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
inverse(multiply(multiply(inverse(C),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))) = C,
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))),multiply(D,inverse(D)))),C) )],[refute_0_166,refute_0_213]) ).
cnf(refute_0_215,plain,
inverse(multiply(inverse(C),multiply(X_10,inverse(X_10)))) = inverse(inverse(C)),
inference(subst,[],[refute_0_205:[bind(B,$fot(inverse(C))),bind(D,$fot(X_10))]]) ).
cnf(refute_0_216,plain,
inverse(multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_9,inverse(X_9)))))) = inverse(multiply(X_24,X_25)),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_24)),bind(B,$fot(X_25)),bind(D,$fot(multiply(X_9,inverse(X_9)))),bind(X_4,$fot(X_27))]]) ).
cnf(refute_0_217,plain,
( inverse(multiply(X_6,inverse(X_6))) != inverse(multiply(X_9,inverse(X_9)))
| inverse(multiply(X_9,inverse(X_9))) = inverse(multiply(X_6,inverse(X_6))) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(inverse(multiply(X_6,inverse(X_6))))),bind(Y,$fot(inverse(multiply(X_9,inverse(X_9)))))]]) ).
cnf(refute_0_218,plain,
inverse(multiply(X_9,inverse(X_9))) = inverse(multiply(X_6,inverse(X_6))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_6,inverse(X_6))),inverse(multiply(X_9,inverse(X_9)))) )],[refute_0_54,refute_0_217]) ).
cnf(refute_0_219,plain,
( inverse(multiply(X_9,inverse(X_9))) != inverse(multiply(X_6,inverse(X_6)))
| inverse(multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_9,inverse(X_9)))))) != inverse(multiply(X_24,X_25))
| inverse(multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6)))))) = inverse(multiply(X_24,X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_9,inverse(X_9)))))),inverse(multiply(X_24,X_25))) ),[0,0,1,1],$fot(inverse(multiply(X_6,inverse(X_6))))]]) ).
cnf(refute_0_220,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_9,inverse(X_9)))))) != inverse(multiply(X_24,X_25))
| inverse(multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6)))))) = inverse(multiply(X_24,X_25)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_9,inverse(X_9))),inverse(multiply(X_6,inverse(X_6)))) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
inverse(multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6)))))) = inverse(multiply(X_24,X_25)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_9,inverse(X_9)))))),inverse(multiply(X_24,X_25))) )],[refute_0_216,refute_0_220]) ).
cnf(refute_0_222,plain,
multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6)))) = inverse(multiply(X_6,inverse(X_6))),
inference(subst,[],[refute_0_157:[bind(C,$fot(inverse(multiply(X_6,inverse(X_6))))),bind(X_4,$fot(X_9))]]) ).
cnf(refute_0_223,plain,
multiply(multiply(X_24,X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6))))) = multiply(multiply(X_24,X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6))))),
introduced(tautology,[refl,[$fot(multiply(multiply(X_24,X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6))))))]]) ).
cnf(refute_0_224,plain,
( multiply(multiply(X_24,X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6))))) != multiply(multiply(X_24,X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6)))))
| multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6)))) != inverse(multiply(X_6,inverse(X_6)))
| multiply(multiply(X_24,X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6))))) = multiply(multiply(X_24,X_25),inverse(multiply(X_6,inverse(X_6)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_24,X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6))))),multiply(multiply(X_24,X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6)))))) ),[1,1],$fot(inverse(multiply(X_6,inverse(X_6))))]]) ).
cnf(refute_0_225,plain,
( multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6)))) != inverse(multiply(X_6,inverse(X_6)))
| multiply(multiply(X_24,X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6))))) = multiply(multiply(X_24,X_25),inverse(multiply(X_6,inverse(X_6)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_24,X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6))))),multiply(multiply(X_24,X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6)))))) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
multiply(multiply(X_24,X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6))))) = multiply(multiply(X_24,X_25),inverse(multiply(X_6,inverse(X_6)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6)))),inverse(multiply(X_6,inverse(X_6)))) )],[refute_0_222,refute_0_225]) ).
cnf(refute_0_227,plain,
inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_10,inverse(X_10)))),C)),A),inverse(A)),multiply(D,inverse(D)))) = C,
inference(subst,[],[refute_0_18:[bind(X_4,$fot(multiply(X_10,inverse(X_10))))]]) ).
cnf(refute_0_228,plain,
( inverse(multiply(X_10,inverse(X_10))) != inverse(multiply(X_11,inverse(X_11)))
| inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_10,inverse(X_10)))),C)),A),inverse(A)),multiply(D,inverse(D)))) != C
| inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),C)),A),inverse(A)),multiply(D,inverse(D)))) = C ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_10,inverse(X_10)))),C)),A),inverse(A)),multiply(D,inverse(D)))),C) ),[0,0,0,0,0,0,0,1],$fot(inverse(multiply(X_11,inverse(X_11))))]]) ).
cnf(refute_0_229,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_10,inverse(X_10)))),C)),A),inverse(A)),multiply(D,inverse(D)))) != C
| inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),C)),A),inverse(A)),multiply(D,inverse(D)))) = C ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11)))) )],[refute_0_55,refute_0_228]) ).
cnf(refute_0_230,plain,
inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),C)),A),inverse(A)),multiply(D,inverse(D)))) = C,
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_10,inverse(X_10)))),C)),A),inverse(A)),multiply(D,inverse(D)))),C) )],[refute_0_227,refute_0_229]) ).
cnf(refute_0_231,plain,
multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))) = inverse(multiply(X_11,inverse(X_11))),
inference(subst,[],[refute_0_157:[bind(C,$fot(inverse(multiply(X_11,inverse(X_11))))),bind(X_4,$fot(X_10))]]) ).
cnf(refute_0_232,plain,
multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),C) = multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),C),
introduced(tautology,[refl,[$fot(multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),C))]]) ).
cnf(refute_0_233,plain,
( multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))) != inverse(multiply(X_11,inverse(X_11)))
| multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),C) != multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),C)
| multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),C) = multiply(inverse(multiply(X_11,inverse(X_11))),C) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),C),multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),C)) ),[1,0],$fot(inverse(multiply(X_11,inverse(X_11))))]]) ).
cnf(refute_0_234,plain,
( multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))) != inverse(multiply(X_11,inverse(X_11)))
| multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),C) = multiply(inverse(multiply(X_11,inverse(X_11))),C) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),C),multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),C)) )],[refute_0_232,refute_0_233]) ).
cnf(refute_0_235,plain,
multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),C) = multiply(inverse(multiply(X_11,inverse(X_11))),C),
inference(resolve,[$cnf( $equal(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),inverse(multiply(X_11,inverse(X_11)))) )],[refute_0_231,refute_0_234]) ).
cnf(refute_0_236,plain,
inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),C)),A),inverse(A)),multiply(D,inverse(D)))) = multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),C),
inference(subst,[],[refute_0_153:[bind(C,$fot(multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),C)))]]) ).
cnf(refute_0_237,plain,
( multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),C) != multiply(inverse(multiply(X_11,inverse(X_11))),C)
| inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),C)),A),inverse(A)),multiply(D,inverse(D)))) != multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),C)
| inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),C)),A),inverse(A)),multiply(D,inverse(D)))) = multiply(inverse(multiply(X_11,inverse(X_11))),C) ),
inference(subst,[],[refute_0_208:[bind(X,$fot(inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),C)),A),inverse(A)),multiply(D,inverse(D)))))),bind(Y,$fot(multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),C))),bind(Z,$fot(multiply(inverse(multiply(X_11,inverse(X_11))),C)))]]) ).
cnf(refute_0_238,plain,
( multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),C) != multiply(inverse(multiply(X_11,inverse(X_11))),C)
| inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),C)),A),inverse(A)),multiply(D,inverse(D)))) = multiply(inverse(multiply(X_11,inverse(X_11))),C) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),C)),A),inverse(A)),multiply(D,inverse(D)))),multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),C)) )],[refute_0_236,refute_0_237]) ).
cnf(refute_0_239,plain,
inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),C)),A),inverse(A)),multiply(D,inverse(D)))) = multiply(inverse(multiply(X_11,inverse(X_11))),C),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),C),multiply(inverse(multiply(X_11,inverse(X_11))),C)) )],[refute_0_235,refute_0_238]) ).
cnf(refute_0_240,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),C)),A),inverse(A)),multiply(D,inverse(D)))) != C
| inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),C)),A),inverse(A)),multiply(D,inverse(D)))) != multiply(inverse(multiply(X_11,inverse(X_11))),C)
| multiply(inverse(multiply(X_11,inverse(X_11))),C) = C ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),C)),A),inverse(A)),multiply(D,inverse(D)))),C) ),[0],$fot(multiply(inverse(multiply(X_11,inverse(X_11))),C))]]) ).
cnf(refute_0_241,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),C)),A),inverse(A)),multiply(D,inverse(D)))) != C
| multiply(inverse(multiply(X_11,inverse(X_11))),C) = C ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),C)),A),inverse(A)),multiply(D,inverse(D)))),multiply(inverse(multiply(X_11,inverse(X_11))),C)) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
multiply(inverse(multiply(X_11,inverse(X_11))),C) = C,
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(X_10,inverse(X_10)),inverse(multiply(X_11,inverse(X_11)))),C)),A),inverse(A)),multiply(D,inverse(D)))),C) )],[refute_0_230,refute_0_241]) ).
cnf(refute_0_243,plain,
multiply(inverse(multiply(X_27,inverse(X_27))),X_24) = X_24,
inference(subst,[],[refute_0_242:[bind(C,$fot(X_24)),bind(X_11,$fot(X_27))]]) ).
cnf(refute_0_244,plain,
multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25) = multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25))]]) ).
cnf(refute_0_245,plain,
( multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25) != multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25)
| multiply(inverse(multiply(X_27,inverse(X_27))),X_24) != X_24
| multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25) = multiply(X_24,X_25) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25)) ),[1,0],$fot(X_24)]]) ).
cnf(refute_0_246,plain,
( multiply(inverse(multiply(X_27,inverse(X_27))),X_24) != X_24
| multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25) = multiply(X_24,X_25) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25)) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25) = multiply(X_24,X_25),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_24) )],[refute_0_243,refute_0_246]) ).
cnf(refute_0_248,plain,
multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6))))) = multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6))))),
introduced(tautology,[refl,[$fot(multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6))))))]]) ).
cnf(refute_0_249,plain,
( multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6))))) != multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6)))))
| multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25) != multiply(X_24,X_25)
| multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6))))) = multiply(multiply(X_24,X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6))))),multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6)))))) ),[1,0],$fot(multiply(X_24,X_25))]]) ).
cnf(refute_0_250,plain,
( multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25) != multiply(X_24,X_25)
| multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6))))) = multiply(multiply(X_24,X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6))))),multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6)))))) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6))))) = multiply(multiply(X_24,X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6))))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(X_24,X_25)) )],[refute_0_247,refute_0_250]) ).
cnf(refute_0_252,plain,
( multiply(multiply(X_24,X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6))))) != multiply(multiply(X_24,X_25),inverse(multiply(X_6,inverse(X_6))))
| multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6))))) != multiply(multiply(X_24,X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6)))))
| multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6))))) = multiply(multiply(X_24,X_25),inverse(multiply(X_6,inverse(X_6)))) ),
inference(subst,[],[refute_0_208:[bind(X,$fot(multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6))))))),bind(Y,$fot(multiply(multiply(X_24,X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6))))))),bind(Z,$fot(multiply(multiply(X_24,X_25),inverse(multiply(X_6,inverse(X_6))))))]]) ).
cnf(refute_0_253,plain,
( multiply(multiply(X_24,X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6))))) != multiply(multiply(X_24,X_25),inverse(multiply(X_6,inverse(X_6))))
| multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6))))) = multiply(multiply(X_24,X_25),inverse(multiply(X_6,inverse(X_6)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6))))),multiply(multiply(X_24,X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6)))))) )],[refute_0_251,refute_0_252]) ).
cnf(refute_0_254,plain,
multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6))))) = multiply(multiply(X_24,X_25),inverse(multiply(X_6,inverse(X_6)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_24,X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6))))),multiply(multiply(X_24,X_25),inverse(multiply(X_6,inverse(X_6))))) )],[refute_0_226,refute_0_253]) ).
cnf(refute_0_255,plain,
inverse(multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6)))))) = inverse(multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6)))))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6)))))))]]) ).
cnf(refute_0_256,plain,
( multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6))))) != multiply(multiply(X_24,X_25),inverse(multiply(X_6,inverse(X_6))))
| inverse(multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6)))))) != inverse(multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6))))))
| inverse(multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6)))))) = inverse(multiply(multiply(X_24,X_25),inverse(multiply(X_6,inverse(X_6))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6)))))),inverse(multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6))))))) ),[1,0],$fot(multiply(multiply(X_24,X_25),inverse(multiply(X_6,inverse(X_6)))))]]) ).
cnf(refute_0_257,plain,
( multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6))))) != multiply(multiply(X_24,X_25),inverse(multiply(X_6,inverse(X_6))))
| inverse(multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6)))))) = inverse(multiply(multiply(X_24,X_25),inverse(multiply(X_6,inverse(X_6))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6)))))),inverse(multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6))))))) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
inverse(multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6)))))) = inverse(multiply(multiply(X_24,X_25),inverse(multiply(X_6,inverse(X_6))))),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6))))),multiply(multiply(X_24,X_25),inverse(multiply(X_6,inverse(X_6))))) )],[refute_0_254,refute_0_257]) ).
cnf(refute_0_259,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6)))))) != inverse(multiply(X_24,X_25))
| inverse(multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6)))))) != inverse(multiply(multiply(X_24,X_25),inverse(multiply(X_6,inverse(X_6)))))
| inverse(multiply(multiply(X_24,X_25),inverse(multiply(X_6,inverse(X_6))))) = inverse(multiply(X_24,X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6)))))),inverse(multiply(X_24,X_25))) ),[0],$fot(inverse(multiply(multiply(X_24,X_25),inverse(multiply(X_6,inverse(X_6))))))]]) ).
cnf(refute_0_260,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6)))))) != inverse(multiply(X_24,X_25))
| inverse(multiply(multiply(X_24,X_25),inverse(multiply(X_6,inverse(X_6))))) = inverse(multiply(X_24,X_25)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6)))))),inverse(multiply(multiply(X_24,X_25),inverse(multiply(X_6,inverse(X_6)))))) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
inverse(multiply(multiply(X_24,X_25),inverse(multiply(X_6,inverse(X_6))))) = inverse(multiply(X_24,X_25)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_25),multiply(multiply(X_9,inverse(X_9)),inverse(multiply(X_6,inverse(X_6)))))),inverse(multiply(X_24,X_25))) )],[refute_0_221,refute_0_260]) ).
cnf(refute_0_262,plain,
inverse(multiply(multiply(inverse(C),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))) = inverse(multiply(inverse(C),multiply(X_10,inverse(X_10)))),
inference(subst,[],[refute_0_261:[bind(X_24,$fot(inverse(C))),bind(X_25,$fot(multiply(X_10,inverse(X_10)))),bind(X_6,$fot(X_11))]]) ).
cnf(refute_0_263,plain,
( inverse(multiply(multiply(inverse(C),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))) != inverse(multiply(inverse(C),multiply(X_10,inverse(X_10))))
| inverse(multiply(inverse(C),multiply(X_10,inverse(X_10)))) != inverse(inverse(C))
| inverse(multiply(multiply(inverse(C),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))) = inverse(inverse(C)) ),
inference(subst,[],[refute_0_208:[bind(X,$fot(inverse(multiply(multiply(inverse(C),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))))),bind(Y,$fot(inverse(multiply(inverse(C),multiply(X_10,inverse(X_10)))))),bind(Z,$fot(inverse(inverse(C))))]]) ).
cnf(refute_0_264,plain,
( inverse(multiply(inverse(C),multiply(X_10,inverse(X_10)))) != inverse(inverse(C))
| inverse(multiply(multiply(inverse(C),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))) = inverse(inverse(C)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(C),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))),inverse(multiply(inverse(C),multiply(X_10,inverse(X_10))))) )],[refute_0_262,refute_0_263]) ).
cnf(refute_0_265,plain,
inverse(multiply(multiply(inverse(C),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))) = inverse(inverse(C)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(C),multiply(X_10,inverse(X_10)))),inverse(inverse(C))) )],[refute_0_215,refute_0_264]) ).
cnf(refute_0_266,plain,
( inverse(multiply(multiply(inverse(C),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))) != C
| inverse(multiply(multiply(inverse(C),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))) != inverse(inverse(C))
| inverse(inverse(C)) = C ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(inverse(C),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))),C) ),[0],$fot(inverse(inverse(C)))]]) ).
cnf(refute_0_267,plain,
( inverse(multiply(multiply(inverse(C),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))) != C
| inverse(inverse(C)) = C ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(C),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))),inverse(inverse(C))) )],[refute_0_265,refute_0_266]) ).
cnf(refute_0_268,plain,
inverse(inverse(C)) = C,
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(C),multiply(X_10,inverse(X_10))),inverse(multiply(X_11,inverse(X_11))))),C) )],[refute_0_214,refute_0_267]) ).
cnf(refute_0_269,plain,
inverse(inverse(multiply(X_81,inverse(X_81)))) = multiply(X_81,inverse(X_81)),
inference(subst,[],[refute_0_268:[bind(C,$fot(multiply(X_81,inverse(X_81))))]]) ).
cnf(refute_0_270,plain,
( inverse(multiply(X_6,inverse(X_6))) != inverse(inverse(multiply(X_81,inverse(X_81))))
| inverse(inverse(multiply(X_81,inverse(X_81)))) != multiply(X_81,inverse(X_81))
| inverse(multiply(X_6,inverse(X_6))) = multiply(X_81,inverse(X_81)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(inverse(multiply(X_6,inverse(X_6))),multiply(X_81,inverse(X_81))) ),[0],$fot(inverse(inverse(multiply(X_81,inverse(X_81)))))]]) ).
cnf(refute_0_271,plain,
( inverse(multiply(X_6,inverse(X_6))) != inverse(inverse(multiply(X_81,inverse(X_81))))
| inverse(multiply(X_6,inverse(X_6))) = multiply(X_81,inverse(X_81)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_81,inverse(X_81)))),multiply(X_81,inverse(X_81))) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
inverse(multiply(X_6,inverse(X_6))) = multiply(X_81,inverse(X_81)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_6,inverse(X_6))),inverse(inverse(multiply(X_81,inverse(X_81))))) )],[refute_0_162,refute_0_271]) ).
cnf(refute_0_273,plain,
inverse(multiply(X_82,inverse(X_82))) = multiply(X_4,inverse(X_4)),
inference(subst,[],[refute_0_272:[bind(X_6,$fot(X_82)),bind(X_81,$fot(X_4))]]) ).
cnf(refute_0_274,plain,
( inverse(multiply(X_82,inverse(X_82))) != multiply(X_4,inverse(X_4))
| multiply(X_4,inverse(X_4)) = inverse(multiply(X_82,inverse(X_82))) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(inverse(multiply(X_82,inverse(X_82))))),bind(Y,$fot(multiply(X_4,inverse(X_4))))]]) ).
cnf(refute_0_275,plain,
multiply(X_4,inverse(X_4)) = inverse(multiply(X_82,inverse(X_82))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_82,inverse(X_82))),multiply(X_4,inverse(X_4))) )],[refute_0_273,refute_0_274]) ).
cnf(refute_0_276,plain,
( multiply(X_4,inverse(X_4)) != inverse(multiply(X_82,inverse(X_82)))
| multiply(multiply(X_4,inverse(X_4)),C) != C
| multiply(inverse(multiply(X_82,inverse(X_82))),C) = C ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_4,inverse(X_4)),C),C) ),[0,0],$fot(inverse(multiply(X_82,inverse(X_82))))]]) ).
cnf(refute_0_277,plain,
( multiply(multiply(X_4,inverse(X_4)),C) != C
| multiply(inverse(multiply(X_82,inverse(X_82))),C) = C ),
inference(resolve,[$cnf( $equal(multiply(X_4,inverse(X_4)),inverse(multiply(X_82,inverse(X_82)))) )],[refute_0_275,refute_0_276]) ).
cnf(refute_0_278,plain,
multiply(inverse(multiply(X_82,inverse(X_82))),C) = C,
inference(resolve,[$cnf( $equal(multiply(multiply(X_4,inverse(X_4)),C),C) )],[refute_0_157,refute_0_277]) ).
cnf(refute_0_279,plain,
inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),B),multiply(X_26,inverse(X_26)))),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B),multiply(D,inverse(D)))) = multiply(X_26,inverse(X_26)),
inference(subst,[],[single_axiom:[bind(A,$fot(multiply(inverse(multiply(X_27,inverse(X_27))),X_24))),bind(C,$fot(multiply(X_26,inverse(X_26))))]]) ).
cnf(refute_0_280,plain,
inverse(multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),B),multiply(X_26,inverse(X_26)))) = inverse(multiply(X_24,B)),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_24)),bind(D,$fot(X_26)),bind(X_4,$fot(X_27))]]) ).
cnf(refute_0_281,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),B),multiply(X_26,inverse(X_26)))) != inverse(multiply(X_24,B))
| inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),B),multiply(X_26,inverse(X_26)))),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B),multiply(D,inverse(D)))) != multiply(X_26,inverse(X_26))
| inverse(multiply(multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B),multiply(D,inverse(D)))) = multiply(X_26,inverse(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),B),multiply(X_26,inverse(X_26)))),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B),multiply(D,inverse(D)))),multiply(X_26,inverse(X_26))) ),[0,0,0,0,0],$fot(inverse(multiply(X_24,B)))]]) ).
cnf(refute_0_282,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),B),multiply(X_26,inverse(X_26)))),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B),multiply(D,inverse(D)))) != multiply(X_26,inverse(X_26))
| inverse(multiply(multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B),multiply(D,inverse(D)))) = multiply(X_26,inverse(X_26)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),B),multiply(X_26,inverse(X_26)))),inverse(multiply(X_24,B))) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
inverse(multiply(multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B),multiply(D,inverse(D)))) = multiply(X_26,inverse(X_26)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),B),multiply(X_26,inverse(X_26)))),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B),multiply(D,inverse(D)))),multiply(X_26,inverse(X_26))) )],[refute_0_279,refute_0_282]) ).
cnf(refute_0_284,plain,
multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)) = multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)))]]) ).
cnf(refute_0_285,plain,
( multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)) != multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24))
| multiply(inverse(multiply(X_27,inverse(X_27))),X_24) != X_24
| multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)) = multiply(inverse(multiply(X_24,B)),X_24) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24))) ),[1,1],$fot(X_24)]]) ).
cnf(refute_0_286,plain,
( multiply(inverse(multiply(X_27,inverse(X_27))),X_24) != X_24
| multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)) = multiply(inverse(multiply(X_24,B)),X_24) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24))) )],[refute_0_284,refute_0_285]) ).
cnf(refute_0_287,plain,
multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)) = multiply(inverse(multiply(X_24,B)),X_24),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_27,inverse(X_27))),X_24),X_24) )],[refute_0_243,refute_0_286]) ).
cnf(refute_0_288,plain,
multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B) = multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B))]]) ).
cnf(refute_0_289,plain,
( multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B) != multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B)
| multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)) != multiply(inverse(multiply(X_24,B)),X_24)
| multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B) = multiply(multiply(inverse(multiply(X_24,B)),X_24),B) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B),multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B)) ),[1,0],$fot(multiply(inverse(multiply(X_24,B)),X_24))]]) ).
cnf(refute_0_290,plain,
( multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)) != multiply(inverse(multiply(X_24,B)),X_24)
| multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B) = multiply(multiply(inverse(multiply(X_24,B)),X_24),B) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B),multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B)) )],[refute_0_288,refute_0_289]) ).
cnf(refute_0_291,plain,
multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B) = multiply(multiply(inverse(multiply(X_24,B)),X_24),B),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),multiply(inverse(multiply(X_24,B)),X_24)) )],[refute_0_287,refute_0_290]) ).
cnf(refute_0_292,plain,
inverse(multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B)) = inverse(multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B)),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B)))]]) ).
cnf(refute_0_293,plain,
( multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B) != multiply(multiply(inverse(multiply(X_24,B)),X_24),B)
| inverse(multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B)) != inverse(multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B))
| inverse(multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B)) = inverse(multiply(multiply(inverse(multiply(X_24,B)),X_24),B)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B)),inverse(multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B))) ),[1,0],$fot(multiply(multiply(inverse(multiply(X_24,B)),X_24),B))]]) ).
cnf(refute_0_294,plain,
( multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B) != multiply(multiply(inverse(multiply(X_24,B)),X_24),B)
| inverse(multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B)) = inverse(multiply(multiply(inverse(multiply(X_24,B)),X_24),B)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B)),inverse(multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B))) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
inverse(multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B)) = inverse(multiply(multiply(inverse(multiply(X_24,B)),X_24),B)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B),multiply(multiply(inverse(multiply(X_24,B)),X_24),B)) )],[refute_0_291,refute_0_294]) ).
cnf(refute_0_296,plain,
inverse(multiply(multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B),multiply(D,inverse(D)))) = inverse(multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B)),
inference(subst,[],[refute_0_205:[bind(B,$fot(multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B)))]]) ).
cnf(refute_0_297,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B),multiply(D,inverse(D)))) != inverse(multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B))
| inverse(multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B)) != inverse(multiply(multiply(inverse(multiply(X_24,B)),X_24),B))
| inverse(multiply(multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B),multiply(D,inverse(D)))) = inverse(multiply(multiply(inverse(multiply(X_24,B)),X_24),B)) ),
inference(subst,[],[refute_0_208:[bind(X,$fot(inverse(multiply(multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B),multiply(D,inverse(D)))))),bind(Y,$fot(inverse(multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B)))),bind(Z,$fot(inverse(multiply(multiply(inverse(multiply(X_24,B)),X_24),B))))]]) ).
cnf(refute_0_298,plain,
( inverse(multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B)) != inverse(multiply(multiply(inverse(multiply(X_24,B)),X_24),B))
| inverse(multiply(multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B),multiply(D,inverse(D)))) = inverse(multiply(multiply(inverse(multiply(X_24,B)),X_24),B)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B),multiply(D,inverse(D)))),inverse(multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B))) )],[refute_0_296,refute_0_297]) ).
cnf(refute_0_299,plain,
inverse(multiply(multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B),multiply(D,inverse(D)))) = inverse(multiply(multiply(inverse(multiply(X_24,B)),X_24),B)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B)),inverse(multiply(multiply(inverse(multiply(X_24,B)),X_24),B))) )],[refute_0_295,refute_0_298]) ).
cnf(refute_0_300,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B),multiply(D,inverse(D)))) != multiply(X_26,inverse(X_26))
| inverse(multiply(multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B),multiply(D,inverse(D)))) != inverse(multiply(multiply(inverse(multiply(X_24,B)),X_24),B))
| inverse(multiply(multiply(inverse(multiply(X_24,B)),X_24),B)) = multiply(X_26,inverse(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B),multiply(D,inverse(D)))),multiply(X_26,inverse(X_26))) ),[0],$fot(inverse(multiply(multiply(inverse(multiply(X_24,B)),X_24),B)))]]) ).
cnf(refute_0_301,plain,
( inverse(multiply(multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B),multiply(D,inverse(D)))) != multiply(X_26,inverse(X_26))
| inverse(multiply(multiply(inverse(multiply(X_24,B)),X_24),B)) = multiply(X_26,inverse(X_26)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B),multiply(D,inverse(D)))),inverse(multiply(multiply(inverse(multiply(X_24,B)),X_24),B))) )],[refute_0_299,refute_0_300]) ).
cnf(refute_0_302,plain,
inverse(multiply(multiply(inverse(multiply(X_24,B)),X_24),B)) = multiply(X_26,inverse(X_26)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(X_24,B)),multiply(inverse(multiply(X_27,inverse(X_27))),X_24)),B),multiply(D,inverse(D)))),multiply(X_26,inverse(X_26))) )],[refute_0_283,refute_0_301]) ).
cnf(refute_0_303,plain,
inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86)) = multiply(X_82,inverse(X_82)),
inference(subst,[],[refute_0_302:[bind(B,$fot(X_86)),bind(X_24,$fot(X_87)),bind(X_26,$fot(X_82))]]) ).
cnf(refute_0_304,plain,
( inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86)) != multiply(X_82,inverse(X_82))
| multiply(X_82,inverse(X_82)) = inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86)))),bind(Y,$fot(multiply(X_82,inverse(X_82))))]]) ).
cnf(refute_0_305,plain,
multiply(X_82,inverse(X_82)) = inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86)),multiply(X_82,inverse(X_82))) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
( multiply(X_82,inverse(X_82)) != inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86))
| multiply(inverse(multiply(X_82,inverse(X_82))),C) != C
| multiply(inverse(inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86))),C) = C ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_82,inverse(X_82))),C),C) ),[0,0,0],$fot(inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86)))]]) ).
cnf(refute_0_307,plain,
( multiply(inverse(multiply(X_82,inverse(X_82))),C) != C
| multiply(inverse(inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86))),C) = C ),
inference(resolve,[$cnf( $equal(multiply(X_82,inverse(X_82)),inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86))) )],[refute_0_305,refute_0_306]) ).
cnf(refute_0_308,plain,
multiply(inverse(inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86))),C) = C,
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_82,inverse(X_82))),C),C) )],[refute_0_278,refute_0_307]) ).
cnf(refute_0_309,plain,
inverse(inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86))) = multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86),
inference(subst,[],[refute_0_268:[bind(C,$fot(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86)))]]) ).
cnf(refute_0_310,plain,
multiply(inverse(inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86))),C) = multiply(inverse(inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86))),C),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86))),C))]]) ).
cnf(refute_0_311,plain,
( multiply(inverse(inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86))),C) != multiply(inverse(inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86))),C)
| inverse(inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86))) != multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86)
| multiply(inverse(inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86))),C) = multiply(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86),C) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86))),C),multiply(inverse(inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86))),C)) ),[1,0],$fot(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86))]]) ).
cnf(refute_0_312,plain,
( inverse(inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86))) != multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86)
| multiply(inverse(inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86))),C) = multiply(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86),C) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86))),C),multiply(inverse(inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86))),C)) )],[refute_0_310,refute_0_311]) ).
cnf(refute_0_313,plain,
multiply(inverse(inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86))),C) = multiply(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86),C),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86))),multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86)) )],[refute_0_309,refute_0_312]) ).
cnf(refute_0_314,plain,
( multiply(inverse(inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86))),C) != C
| multiply(inverse(inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86))),C) != multiply(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86),C)
| multiply(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86),C) = C ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86))),C),C) ),[0],$fot(multiply(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86),C))]]) ).
cnf(refute_0_315,plain,
( multiply(inverse(inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86))),C) != C
| multiply(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86),C) = C ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86))),C),multiply(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86),C)) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
multiply(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86),C) = C,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86))),C),C) )],[refute_0_308,refute_0_315]) ).
cnf(refute_0_317,plain,
multiply(multiply(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87),multiply(X_175,inverse(X_175))),inverse(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87))) = inverse(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87)),
inference(subst,[],[refute_0_316:[bind(C,$fot(inverse(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87)))),bind(X_86,$fot(multiply(X_175,inverse(X_175))))]]) ).
cnf(refute_0_318,plain,
inverse(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),X_86)),multiply(X_4,inverse(X_4))),X_86)) = multiply(X_88,inverse(X_88)),
inference(subst,[],[refute_0_302:[bind(B,$fot(X_86)),bind(X_24,$fot(multiply(X_4,inverse(X_4)))),bind(X_26,$fot(X_88))]]) ).
cnf(refute_0_319,plain,
multiply(multiply(X_4,inverse(X_4)),X_86) = X_86,
inference(subst,[],[refute_0_157:[bind(C,$fot(X_86))]]) ).
cnf(refute_0_320,plain,
( multiply(multiply(X_4,inverse(X_4)),X_86) != X_86
| inverse(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),X_86)),multiply(X_4,inverse(X_4))),X_86)) != multiply(X_88,inverse(X_88))
| inverse(multiply(multiply(inverse(X_86),multiply(X_4,inverse(X_4))),X_86)) = multiply(X_88,inverse(X_88)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),X_86)),multiply(X_4,inverse(X_4))),X_86)),multiply(X_88,inverse(X_88))) ),[0,0,0,0,0],$fot(X_86)]]) ).
cnf(refute_0_321,plain,
( inverse(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),X_86)),multiply(X_4,inverse(X_4))),X_86)) != multiply(X_88,inverse(X_88))
| inverse(multiply(multiply(inverse(X_86),multiply(X_4,inverse(X_4))),X_86)) = multiply(X_88,inverse(X_88)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_4,inverse(X_4)),X_86),X_86) )],[refute_0_319,refute_0_320]) ).
cnf(refute_0_322,plain,
inverse(multiply(multiply(inverse(X_86),multiply(X_4,inverse(X_4))),X_86)) = multiply(X_88,inverse(X_88)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),X_86)),multiply(X_4,inverse(X_4))),X_86)),multiply(X_88,inverse(X_88))) )],[refute_0_318,refute_0_321]) ).
cnf(refute_0_323,plain,
inverse(multiply(multiply(inverse(X_99),multiply(X_98,inverse(X_98))),X_99)) = multiply(X_6,inverse(X_6)),
inference(subst,[],[refute_0_322:[bind(X_4,$fot(X_98)),bind(X_86,$fot(X_99)),bind(X_88,$fot(X_6))]]) ).
cnf(refute_0_324,plain,
( inverse(multiply(multiply(inverse(X_99),multiply(X_98,inverse(X_98))),X_99)) != multiply(X_6,inverse(X_6))
| multiply(X_6,inverse(X_6)) = inverse(multiply(multiply(inverse(X_99),multiply(X_98,inverse(X_98))),X_99)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(inverse(multiply(multiply(inverse(X_99),multiply(X_98,inverse(X_98))),X_99)))),bind(Y,$fot(multiply(X_6,inverse(X_6))))]]) ).
cnf(refute_0_325,plain,
multiply(X_6,inverse(X_6)) = inverse(multiply(multiply(inverse(X_99),multiply(X_98,inverse(X_98))),X_99)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(X_99),multiply(X_98,inverse(X_98))),X_99)),multiply(X_6,inverse(X_6))) )],[refute_0_323,refute_0_324]) ).
cnf(refute_0_326,plain,
( multiply(X_6,inverse(X_6)) != inverse(multiply(multiply(inverse(X_99),multiply(X_98,inverse(X_98))),X_99))
| inverse(multiply(X_6,inverse(X_6))) != multiply(X_81,inverse(X_81))
| inverse(inverse(multiply(multiply(inverse(X_99),multiply(X_98,inverse(X_98))),X_99))) = multiply(X_81,inverse(X_81)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_6,inverse(X_6))),multiply(X_81,inverse(X_81))) ),[0,0],$fot(inverse(multiply(multiply(inverse(X_99),multiply(X_98,inverse(X_98))),X_99)))]]) ).
cnf(refute_0_327,plain,
( inverse(multiply(X_6,inverse(X_6))) != multiply(X_81,inverse(X_81))
| inverse(inverse(multiply(multiply(inverse(X_99),multiply(X_98,inverse(X_98))),X_99))) = multiply(X_81,inverse(X_81)) ),
inference(resolve,[$cnf( $equal(multiply(X_6,inverse(X_6)),inverse(multiply(multiply(inverse(X_99),multiply(X_98,inverse(X_98))),X_99))) )],[refute_0_325,refute_0_326]) ).
cnf(refute_0_328,plain,
inverse(inverse(multiply(multiply(inverse(X_99),multiply(X_98,inverse(X_98))),X_99))) = multiply(X_81,inverse(X_81)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_6,inverse(X_6))),multiply(X_81,inverse(X_81))) )],[refute_0_272,refute_0_327]) ).
cnf(refute_0_329,plain,
inverse(inverse(multiply(multiply(inverse(X_99),multiply(X_98,inverse(X_98))),X_99))) = multiply(multiply(inverse(X_99),multiply(X_98,inverse(X_98))),X_99),
inference(subst,[],[refute_0_268:[bind(C,$fot(multiply(multiply(inverse(X_99),multiply(X_98,inverse(X_98))),X_99)))]]) ).
cnf(refute_0_330,plain,
( inverse(inverse(multiply(multiply(inverse(X_99),multiply(X_98,inverse(X_98))),X_99))) != multiply(X_81,inverse(X_81))
| inverse(inverse(multiply(multiply(inverse(X_99),multiply(X_98,inverse(X_98))),X_99))) != multiply(multiply(inverse(X_99),multiply(X_98,inverse(X_98))),X_99)
| multiply(multiply(inverse(X_99),multiply(X_98,inverse(X_98))),X_99) = multiply(X_81,inverse(X_81)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(multiply(inverse(X_99),multiply(X_98,inverse(X_98))),X_99))),multiply(X_81,inverse(X_81))) ),[0],$fot(multiply(multiply(inverse(X_99),multiply(X_98,inverse(X_98))),X_99))]]) ).
cnf(refute_0_331,plain,
( inverse(inverse(multiply(multiply(inverse(X_99),multiply(X_98,inverse(X_98))),X_99))) != multiply(X_81,inverse(X_81))
| multiply(multiply(inverse(X_99),multiply(X_98,inverse(X_98))),X_99) = multiply(X_81,inverse(X_81)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(multiply(inverse(X_99),multiply(X_98,inverse(X_98))),X_99))),multiply(multiply(inverse(X_99),multiply(X_98,inverse(X_98))),X_99)) )],[refute_0_329,refute_0_330]) ).
cnf(refute_0_332,plain,
multiply(multiply(inverse(X_99),multiply(X_98,inverse(X_98))),X_99) = multiply(X_81,inverse(X_81)),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(multiply(inverse(X_99),multiply(X_98,inverse(X_98))),X_99))),multiply(X_81,inverse(X_81))) )],[refute_0_328,refute_0_331]) ).
cnf(refute_0_333,plain,
inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86)) = multiply(X_6,inverse(X_6)),
inference(subst,[],[refute_0_302:[bind(B,$fot(X_86)),bind(X_24,$fot(X_87)),bind(X_26,$fot(X_6))]]) ).
cnf(refute_0_334,plain,
( inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86)) != multiply(X_6,inverse(X_6))
| multiply(X_6,inverse(X_6)) = inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86)))),bind(Y,$fot(multiply(X_6,inverse(X_6))))]]) ).
cnf(refute_0_335,plain,
multiply(X_6,inverse(X_6)) = inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86)),multiply(X_6,inverse(X_6))) )],[refute_0_333,refute_0_334]) ).
cnf(refute_0_336,plain,
( multiply(X_6,inverse(X_6)) != inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86))
| inverse(multiply(X_6,inverse(X_6))) != multiply(X_81,inverse(X_81))
| inverse(inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86))) = multiply(X_81,inverse(X_81)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_6,inverse(X_6))),multiply(X_81,inverse(X_81))) ),[0,0],$fot(inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86)))]]) ).
cnf(refute_0_337,plain,
( inverse(multiply(X_6,inverse(X_6))) != multiply(X_81,inverse(X_81))
| inverse(inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86))) = multiply(X_81,inverse(X_81)) ),
inference(resolve,[$cnf( $equal(multiply(X_6,inverse(X_6)),inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86))) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
inverse(inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86))) = multiply(X_81,inverse(X_81)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_6,inverse(X_6))),multiply(X_81,inverse(X_81))) )],[refute_0_272,refute_0_337]) ).
cnf(refute_0_339,plain,
( inverse(inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86))) != multiply(X_81,inverse(X_81))
| inverse(inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86))) != multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86)
| multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86) = multiply(X_81,inverse(X_81)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86))),multiply(X_81,inverse(X_81))) ),[0],$fot(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86))]]) ).
cnf(refute_0_340,plain,
( inverse(inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86))) != multiply(X_81,inverse(X_81))
| multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86) = multiply(X_81,inverse(X_81)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86))),multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86)) )],[refute_0_309,refute_0_339]) ).
cnf(refute_0_341,plain,
multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86) = multiply(X_81,inverse(X_81)),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(multiply(inverse(multiply(X_87,X_86)),X_87),X_86))),multiply(X_81,inverse(X_81))) )],[refute_0_338,refute_0_340]) ).
cnf(refute_0_342,plain,
multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105) = multiply(X_98,inverse(X_98)),
inference(subst,[],[refute_0_341:[bind(X_81,$fot(X_98)),bind(X_86,$fot(X_105)),bind(X_87,$fot(X_106))]]) ).
cnf(refute_0_343,plain,
( multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105) != multiply(X_98,inverse(X_98))
| multiply(X_98,inverse(X_98)) = multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105))),bind(Y,$fot(multiply(X_98,inverse(X_98))))]]) ).
cnf(refute_0_344,plain,
multiply(X_98,inverse(X_98)) = multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105),multiply(X_98,inverse(X_98))) )],[refute_0_342,refute_0_343]) ).
cnf(refute_0_345,plain,
( multiply(X_98,inverse(X_98)) != multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)
| multiply(multiply(inverse(X_99),multiply(X_98,inverse(X_98))),X_99) != multiply(X_81,inverse(X_81))
| multiply(multiply(inverse(X_99),multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)),X_99) = multiply(X_81,inverse(X_81)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_99),multiply(X_98,inverse(X_98))),X_99),multiply(X_81,inverse(X_81))) ),[0,0,1],$fot(multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105))]]) ).
cnf(refute_0_346,plain,
( multiply(multiply(inverse(X_99),multiply(X_98,inverse(X_98))),X_99) != multiply(X_81,inverse(X_81))
| multiply(multiply(inverse(X_99),multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)),X_99) = multiply(X_81,inverse(X_81)) ),
inference(resolve,[$cnf( $equal(multiply(X_98,inverse(X_98)),multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)) )],[refute_0_344,refute_0_345]) ).
cnf(refute_0_347,plain,
multiply(multiply(inverse(X_99),multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)),X_99) = multiply(X_81,inverse(X_81)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_99),multiply(X_98,inverse(X_98))),X_99),multiply(X_81,inverse(X_81))) )],[refute_0_332,refute_0_346]) ).
cnf(refute_0_348,plain,
multiply(multiply(inverse(multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))),multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))) = multiply(X_81,inverse(X_81)),
inference(subst,[],[refute_0_347:[bind(X_99,$fot(multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))))]]) ).
cnf(refute_0_349,plain,
inverse(multiply(multiply(multiply(multiply(D,inverse(D)),multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A),inverse(A)),multiply(D,inverse(D)))),multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A)),multiply(X_13,inverse(X_13)))) = multiply(X_16,inverse(X_16)),
inference(subst,[],[refute_0_10:[bind(B,$fot(inverse(A))),bind(D,$fot(X_13)),bind(X_0,$fot(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),bind(X_2,$fot(multiply(D,inverse(D)))),bind(X_3,$fot(X_16))]]) ).
cnf(refute_0_350,plain,
( inverse(multiply(multiply(multiply(multiply(D,inverse(D)),multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A),inverse(A)),multiply(D,inverse(D)))),multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A)),multiply(X_13,inverse(X_13)))) != multiply(X_16,inverse(X_16))
| inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A),inverse(A)),multiply(D,inverse(D)))) != C
| inverse(multiply(multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A)),multiply(X_13,inverse(X_13)))) = multiply(X_16,inverse(X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(multiply(D,inverse(D)),multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A),inverse(A)),multiply(D,inverse(D)))),multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A)),multiply(X_13,inverse(X_13)))),multiply(X_16,inverse(X_16))) ),[0,0,0,0,1,0],$fot(C)]]) ).
cnf(refute_0_351,plain,
( inverse(multiply(multiply(multiply(multiply(D,inverse(D)),multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A),inverse(A)),multiply(D,inverse(D)))),multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A)),multiply(X_13,inverse(X_13)))) != multiply(X_16,inverse(X_16))
| inverse(multiply(multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A)),multiply(X_13,inverse(X_13)))) = multiply(X_16,inverse(X_16)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A),inverse(A)),multiply(D,inverse(D)))),C) )],[refute_0_18,refute_0_350]) ).
cnf(refute_0_352,plain,
inverse(multiply(multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A)),multiply(X_13,inverse(X_13)))) = multiply(X_16,inverse(X_16)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(multiply(D,inverse(D)),multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A),inverse(A)),multiply(D,inverse(D)))),multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A)),multiply(X_13,inverse(X_13)))),multiply(X_16,inverse(X_16))) )],[refute_0_349,refute_0_351]) ).
cnf(refute_0_353,plain,
multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A) = multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))]]) ).
cnf(refute_0_354,plain,
( multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A) != multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A)
| inverse(multiply(multiply(X_4,inverse(X_4)),C)) != inverse(C)
| multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A) = multiply(inverse(C),A) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A),multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A)) ),[1,0],$fot(inverse(C))]]) ).
cnf(refute_0_355,plain,
( inverse(multiply(multiply(X_4,inverse(X_4)),C)) != inverse(C)
| multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A) = multiply(inverse(C),A) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A),multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A)) )],[refute_0_353,refute_0_354]) ).
cnf(refute_0_356,plain,
multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A) = multiply(inverse(C),A),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_4,inverse(X_4)),C)),inverse(C)) )],[refute_0_170,refute_0_355]) ).
cnf(refute_0_357,plain,
multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A)) = multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A)),
introduced(tautology,[refl,[$fot(multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A)))]]) ).
cnf(refute_0_358,plain,
( multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A)) != multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))
| multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A) != multiply(inverse(C),A)
| multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A)) = multiply(C,multiply(inverse(C),A)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))) ),[1,1],$fot(multiply(inverse(C),A))]]) ).
cnf(refute_0_359,plain,
( multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A) != multiply(inverse(C),A)
| multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A)) = multiply(C,multiply(inverse(C),A)) ),
inference(resolve,[$cnf( $equal(multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))) )],[refute_0_357,refute_0_358]) ).
cnf(refute_0_360,plain,
multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A)) = multiply(C,multiply(inverse(C),A)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A),multiply(inverse(C),A)) )],[refute_0_356,refute_0_359]) ).
cnf(refute_0_361,plain,
multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))) = multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A)),
inference(subst,[],[refute_0_157:[bind(C,$fot(multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A)))),bind(X_4,$fot(D))]]) ).
cnf(refute_0_362,plain,
( multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A)) != multiply(C,multiply(inverse(C),A))
| multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))) != multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))
| multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))) = multiply(C,multiply(inverse(C),A)) ),
inference(subst,[],[refute_0_208:[bind(X,$fot(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))))),bind(Y,$fot(multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A)))),bind(Z,$fot(multiply(C,multiply(inverse(C),A))))]]) ).
cnf(refute_0_363,plain,
( multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A)) != multiply(C,multiply(inverse(C),A))
| multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))) = multiply(C,multiply(inverse(C),A)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))) )],[refute_0_361,refute_0_362]) ).
cnf(refute_0_364,plain,
multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))) = multiply(C,multiply(inverse(C),A)),
inference(resolve,[$cnf( $equal(multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A)),multiply(C,multiply(inverse(C),A))) )],[refute_0_360,refute_0_363]) ).
cnf(refute_0_365,plain,
multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A)) = multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A)),
introduced(tautology,[refl,[$fot(multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A)))]]) ).
cnf(refute_0_366,plain,
( multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))) != multiply(C,multiply(inverse(C),A))
| multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A)) != multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A))
| multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A)) = multiply(multiply(C,multiply(inverse(C),A)),inverse(A)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A)),multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A))) ),[1,0],$fot(multiply(C,multiply(inverse(C),A)))]]) ).
cnf(refute_0_367,plain,
( multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))) != multiply(C,multiply(inverse(C),A))
| multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A)) = multiply(multiply(C,multiply(inverse(C),A)),inverse(A)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A)),multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A))) )],[refute_0_365,refute_0_366]) ).
cnf(refute_0_368,plain,
multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A)) = multiply(multiply(C,multiply(inverse(C),A)),inverse(A)),
inference(resolve,[$cnf( $equal(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),multiply(C,multiply(inverse(C),A))) )],[refute_0_364,refute_0_367]) ).
cnf(refute_0_369,plain,
inverse(multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A))) = inverse(multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A))))]]) ).
cnf(refute_0_370,plain,
( multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A)) != multiply(multiply(C,multiply(inverse(C),A)),inverse(A))
| inverse(multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A))) != inverse(multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A)))
| inverse(multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A))) = inverse(multiply(multiply(C,multiply(inverse(C),A)),inverse(A))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A))),inverse(multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A)))) ),[1,0],$fot(multiply(multiply(C,multiply(inverse(C),A)),inverse(A)))]]) ).
cnf(refute_0_371,plain,
( multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A)) != multiply(multiply(C,multiply(inverse(C),A)),inverse(A))
| inverse(multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A))) = inverse(multiply(multiply(C,multiply(inverse(C),A)),inverse(A))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A))),inverse(multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A)))) )],[refute_0_369,refute_0_370]) ).
cnf(refute_0_372,plain,
inverse(multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A))) = inverse(multiply(multiply(C,multiply(inverse(C),A)),inverse(A))),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A)),multiply(multiply(C,multiply(inverse(C),A)),inverse(A))) )],[refute_0_368,refute_0_371]) ).
cnf(refute_0_373,plain,
inverse(multiply(multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A)),multiply(X_13,inverse(X_13)))) = inverse(multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A))),
inference(subst,[],[refute_0_205:[bind(B,$fot(multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A)))),bind(D,$fot(X_13))]]) ).
cnf(refute_0_374,plain,
( inverse(multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A))) != inverse(multiply(multiply(C,multiply(inverse(C),A)),inverse(A)))
| inverse(multiply(multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A)),multiply(X_13,inverse(X_13)))) != inverse(multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A)))
| inverse(multiply(multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A)),multiply(X_13,inverse(X_13)))) = inverse(multiply(multiply(C,multiply(inverse(C),A)),inverse(A))) ),
inference(subst,[],[refute_0_208:[bind(X,$fot(inverse(multiply(multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A)),multiply(X_13,inverse(X_13)))))),bind(Y,$fot(inverse(multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A))))),bind(Z,$fot(inverse(multiply(multiply(C,multiply(inverse(C),A)),inverse(A)))))]]) ).
cnf(refute_0_375,plain,
( inverse(multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A))) != inverse(multiply(multiply(C,multiply(inverse(C),A)),inverse(A)))
| inverse(multiply(multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A)),multiply(X_13,inverse(X_13)))) = inverse(multiply(multiply(C,multiply(inverse(C),A)),inverse(A))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A)),multiply(X_13,inverse(X_13)))),inverse(multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A)))) )],[refute_0_373,refute_0_374]) ).
cnf(refute_0_376,plain,
inverse(multiply(multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A)),multiply(X_13,inverse(X_13)))) = inverse(multiply(multiply(C,multiply(inverse(C),A)),inverse(A))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A))),inverse(multiply(multiply(C,multiply(inverse(C),A)),inverse(A)))) )],[refute_0_372,refute_0_375]) ).
cnf(refute_0_377,plain,
( inverse(multiply(multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A)),multiply(X_13,inverse(X_13)))) != multiply(X_16,inverse(X_16))
| inverse(multiply(multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A)),multiply(X_13,inverse(X_13)))) != inverse(multiply(multiply(C,multiply(inverse(C),A)),inverse(A)))
| inverse(multiply(multiply(C,multiply(inverse(C),A)),inverse(A))) = multiply(X_16,inverse(X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A)),multiply(X_13,inverse(X_13)))),multiply(X_16,inverse(X_16))) ),[0],$fot(inverse(multiply(multiply(C,multiply(inverse(C),A)),inverse(A))))]]) ).
cnf(refute_0_378,plain,
( inverse(multiply(multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A)),multiply(X_13,inverse(X_13)))) != multiply(X_16,inverse(X_16))
| inverse(multiply(multiply(C,multiply(inverse(C),A)),inverse(A))) = multiply(X_16,inverse(X_16)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A)),multiply(X_13,inverse(X_13)))),inverse(multiply(multiply(C,multiply(inverse(C),A)),inverse(A)))) )],[refute_0_376,refute_0_377]) ).
cnf(refute_0_379,plain,
inverse(multiply(multiply(C,multiply(inverse(C),A)),inverse(A))) = multiply(X_16,inverse(X_16)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(multiply(D,inverse(D)),multiply(C,multiply(inverse(multiply(multiply(X_4,inverse(X_4)),C)),A))),inverse(A)),multiply(X_13,inverse(X_13)))),multiply(X_16,inverse(X_16))) )],[refute_0_352,refute_0_378]) ).
cnf(refute_0_380,plain,
inverse(multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))) = multiply(X_160,inverse(X_160)),
inference(subst,[],[refute_0_379:[bind(A,$fot(X_158)),bind(C,$fot(X_159)),bind(X_16,$fot(X_160))]]) ).
cnf(refute_0_381,plain,
( multiply(multiply(inverse(multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))),multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))) != multiply(X_81,inverse(X_81))
| inverse(multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))) != multiply(X_160,inverse(X_160))
| multiply(multiply(multiply(X_160,inverse(X_160)),multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))) = multiply(X_81,inverse(X_81)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))),multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))),multiply(X_81,inverse(X_81))) ),[0,0,0],$fot(multiply(X_160,inverse(X_160)))]]) ).
cnf(refute_0_382,plain,
( multiply(multiply(inverse(multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))),multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))) != multiply(X_81,inverse(X_81))
| multiply(multiply(multiply(X_160,inverse(X_160)),multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))) = multiply(X_81,inverse(X_81)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))),multiply(X_160,inverse(X_160))) )],[refute_0_380,refute_0_381]) ).
cnf(refute_0_383,plain,
multiply(multiply(multiply(X_160,inverse(X_160)),multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))) = multiply(X_81,inverse(X_81)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))),multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))),multiply(X_81,inverse(X_81))) )],[refute_0_348,refute_0_382]) ).
cnf(refute_0_384,plain,
multiply(multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))) = multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158)),
inference(subst,[],[refute_0_316:[bind(C,$fot(multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158)))),bind(X_86,$fot(X_105)),bind(X_87,$fot(X_106))]]) ).
cnf(refute_0_385,plain,
multiply(multiply(X_160,inverse(X_160)),multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)) = multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105),
inference(subst,[],[refute_0_157:[bind(C,$fot(multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105))),bind(X_4,$fot(X_160))]]) ).
cnf(refute_0_386,plain,
multiply(multiply(multiply(X_160,inverse(X_160)),multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))) = multiply(multiply(multiply(X_160,inverse(X_160)),multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))),
introduced(tautology,[refl,[$fot(multiply(multiply(multiply(X_160,inverse(X_160)),multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))))]]) ).
cnf(refute_0_387,plain,
( multiply(multiply(X_160,inverse(X_160)),multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)) != multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)
| multiply(multiply(multiply(X_160,inverse(X_160)),multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))) != multiply(multiply(multiply(X_160,inverse(X_160)),multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158)))
| multiply(multiply(multiply(X_160,inverse(X_160)),multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))) = multiply(multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_160,inverse(X_160)),multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))),multiply(multiply(multiply(X_160,inverse(X_160)),multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158)))) ),[1,0],$fot(multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105))]]) ).
cnf(refute_0_388,plain,
( multiply(multiply(X_160,inverse(X_160)),multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)) != multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)
| multiply(multiply(multiply(X_160,inverse(X_160)),multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))) = multiply(multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_160,inverse(X_160)),multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))),multiply(multiply(multiply(X_160,inverse(X_160)),multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158)))) )],[refute_0_386,refute_0_387]) ).
cnf(refute_0_389,plain,
multiply(multiply(multiply(X_160,inverse(X_160)),multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))) = multiply(multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_160,inverse(X_160)),multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)),multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)) )],[refute_0_385,refute_0_388]) ).
cnf(refute_0_390,plain,
( multiply(multiply(multiply(X_160,inverse(X_160)),multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))) != multiply(multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158)))
| multiply(multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))) != multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))
| multiply(multiply(multiply(X_160,inverse(X_160)),multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))) = multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158)) ),
inference(subst,[],[refute_0_208:[bind(X,$fot(multiply(multiply(multiply(X_160,inverse(X_160)),multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))))),bind(Y,$fot(multiply(multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))))),bind(Z,$fot(multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))))]]) ).
cnf(refute_0_391,plain,
( multiply(multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))) != multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))
| multiply(multiply(multiply(X_160,inverse(X_160)),multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))) = multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_160,inverse(X_160)),multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))),multiply(multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158)))) )],[refute_0_389,refute_0_390]) ).
cnf(refute_0_392,plain,
multiply(multiply(multiply(X_160,inverse(X_160)),multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))) = multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158)),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))) )],[refute_0_384,refute_0_391]) ).
cnf(refute_0_393,plain,
( multiply(multiply(multiply(X_160,inverse(X_160)),multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))) != multiply(X_81,inverse(X_81))
| multiply(multiply(multiply(X_160,inverse(X_160)),multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))) != multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))
| multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158)) = multiply(X_81,inverse(X_81)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_160,inverse(X_160)),multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))),multiply(X_81,inverse(X_81))) ),[0],$fot(multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158)))]]) ).
cnf(refute_0_394,plain,
( multiply(multiply(multiply(X_160,inverse(X_160)),multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))) != multiply(X_81,inverse(X_81))
| multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158)) = multiply(X_81,inverse(X_81)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_160,inverse(X_160)),multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))) )],[refute_0_392,refute_0_393]) ).
cnf(refute_0_395,plain,
multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158)) = multiply(X_81,inverse(X_81)),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_160,inverse(X_160)),multiply(multiply(inverse(multiply(X_106,X_105)),X_106),X_105)),multiply(multiply(X_159,multiply(inverse(X_159),X_158)),inverse(X_158))),multiply(X_81,inverse(X_81))) )],[refute_0_383,refute_0_394]) ).
cnf(refute_0_396,plain,
multiply(multiply(X_162,multiply(inverse(X_162),inverse(inverse(X_162)))),inverse(inverse(inverse(X_162)))) = multiply(X_163,inverse(X_163)),
inference(subst,[],[refute_0_395:[bind(X_158,$fot(inverse(inverse(X_162)))),bind(X_159,$fot(X_162)),bind(X_81,$fot(X_163))]]) ).
cnf(refute_0_397,plain,
multiply(X_3,inverse(X_3)) = multiply(inverse(X_162),inverse(inverse(X_162))),
inference(subst,[],[refute_0_14:[bind(D,$fot(inverse(X_162)))]]) ).
cnf(refute_0_398,plain,
( multiply(X_3,inverse(X_3)) != multiply(inverse(X_162),inverse(inverse(X_162)))
| multiply(inverse(X_162),inverse(inverse(X_162))) = multiply(X_3,inverse(X_3)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(multiply(X_3,inverse(X_3)))),bind(Y,$fot(multiply(inverse(X_162),inverse(inverse(X_162)))))]]) ).
cnf(refute_0_399,plain,
multiply(inverse(X_162),inverse(inverse(X_162))) = multiply(X_3,inverse(X_3)),
inference(resolve,[$cnf( $equal(multiply(X_3,inverse(X_3)),multiply(inverse(X_162),inverse(inverse(X_162)))) )],[refute_0_397,refute_0_398]) ).
cnf(refute_0_400,plain,
( multiply(multiply(X_162,multiply(inverse(X_162),inverse(inverse(X_162)))),inverse(inverse(inverse(X_162)))) != multiply(X_163,inverse(X_163))
| multiply(inverse(X_162),inverse(inverse(X_162))) != multiply(X_3,inverse(X_3))
| multiply(multiply(X_162,multiply(X_3,inverse(X_3))),inverse(inverse(inverse(X_162)))) = multiply(X_163,inverse(X_163)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_162,multiply(inverse(X_162),inverse(inverse(X_162)))),inverse(inverse(inverse(X_162)))),multiply(X_163,inverse(X_163))) ),[0,0,1],$fot(multiply(X_3,inverse(X_3)))]]) ).
cnf(refute_0_401,plain,
( multiply(multiply(X_162,multiply(inverse(X_162),inverse(inverse(X_162)))),inverse(inverse(inverse(X_162)))) != multiply(X_163,inverse(X_163))
| multiply(multiply(X_162,multiply(X_3,inverse(X_3))),inverse(inverse(inverse(X_162)))) = multiply(X_163,inverse(X_163)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_162),inverse(inverse(X_162))),multiply(X_3,inverse(X_3))) )],[refute_0_399,refute_0_400]) ).
cnf(refute_0_402,plain,
multiply(multiply(X_162,multiply(X_3,inverse(X_3))),inverse(inverse(inverse(X_162)))) = multiply(X_163,inverse(X_163)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_162,multiply(inverse(X_162),inverse(inverse(X_162)))),inverse(inverse(inverse(X_162)))),multiply(X_163,inverse(X_163))) )],[refute_0_396,refute_0_401]) ).
cnf(refute_0_403,plain,
inverse(inverse(inverse(X_162))) = inverse(X_162),
inference(subst,[],[refute_0_268:[bind(C,$fot(inverse(X_162)))]]) ).
cnf(refute_0_404,plain,
multiply(multiply(X_162,multiply(X_3,inverse(X_3))),inverse(inverse(inverse(X_162)))) = multiply(multiply(X_162,multiply(X_3,inverse(X_3))),inverse(inverse(inverse(X_162)))),
introduced(tautology,[refl,[$fot(multiply(multiply(X_162,multiply(X_3,inverse(X_3))),inverse(inverse(inverse(X_162)))))]]) ).
cnf(refute_0_405,plain,
( multiply(multiply(X_162,multiply(X_3,inverse(X_3))),inverse(inverse(inverse(X_162)))) != multiply(multiply(X_162,multiply(X_3,inverse(X_3))),inverse(inverse(inverse(X_162))))
| inverse(inverse(inverse(X_162))) != inverse(X_162)
| multiply(multiply(X_162,multiply(X_3,inverse(X_3))),inverse(inverse(inverse(X_162)))) = multiply(multiply(X_162,multiply(X_3,inverse(X_3))),inverse(X_162)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_162,multiply(X_3,inverse(X_3))),inverse(inverse(inverse(X_162)))),multiply(multiply(X_162,multiply(X_3,inverse(X_3))),inverse(inverse(inverse(X_162))))) ),[1,1],$fot(inverse(X_162))]]) ).
cnf(refute_0_406,plain,
( inverse(inverse(inverse(X_162))) != inverse(X_162)
| multiply(multiply(X_162,multiply(X_3,inverse(X_3))),inverse(inverse(inverse(X_162)))) = multiply(multiply(X_162,multiply(X_3,inverse(X_3))),inverse(X_162)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_162,multiply(X_3,inverse(X_3))),inverse(inverse(inverse(X_162)))),multiply(multiply(X_162,multiply(X_3,inverse(X_3))),inverse(inverse(inverse(X_162))))) )],[refute_0_404,refute_0_405]) ).
cnf(refute_0_407,plain,
multiply(multiply(X_162,multiply(X_3,inverse(X_3))),inverse(inverse(inverse(X_162)))) = multiply(multiply(X_162,multiply(X_3,inverse(X_3))),inverse(X_162)),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(X_162))),inverse(X_162)) )],[refute_0_403,refute_0_406]) ).
cnf(refute_0_408,plain,
( multiply(multiply(X_162,multiply(X_3,inverse(X_3))),inverse(inverse(inverse(X_162)))) != multiply(X_163,inverse(X_163))
| multiply(multiply(X_162,multiply(X_3,inverse(X_3))),inverse(inverse(inverse(X_162)))) != multiply(multiply(X_162,multiply(X_3,inverse(X_3))),inverse(X_162))
| multiply(multiply(X_162,multiply(X_3,inverse(X_3))),inverse(X_162)) = multiply(X_163,inverse(X_163)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_162,multiply(X_3,inverse(X_3))),inverse(inverse(inverse(X_162)))),multiply(X_163,inverse(X_163))) ),[0],$fot(multiply(multiply(X_162,multiply(X_3,inverse(X_3))),inverse(X_162)))]]) ).
cnf(refute_0_409,plain,
( multiply(multiply(X_162,multiply(X_3,inverse(X_3))),inverse(inverse(inverse(X_162)))) != multiply(X_163,inverse(X_163))
| multiply(multiply(X_162,multiply(X_3,inverse(X_3))),inverse(X_162)) = multiply(X_163,inverse(X_163)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_162,multiply(X_3,inverse(X_3))),inverse(inverse(inverse(X_162)))),multiply(multiply(X_162,multiply(X_3,inverse(X_3))),inverse(X_162))) )],[refute_0_407,refute_0_408]) ).
cnf(refute_0_410,plain,
multiply(multiply(X_162,multiply(X_3,inverse(X_3))),inverse(X_162)) = multiply(X_163,inverse(X_163)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_162,multiply(X_3,inverse(X_3))),inverse(inverse(inverse(X_162)))),multiply(X_163,inverse(X_163))) )],[refute_0_402,refute_0_409]) ).
cnf(refute_0_411,plain,
multiply(multiply(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87),multiply(X_175,inverse(X_175))),inverse(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87))) = multiply(X_174,inverse(X_174)),
inference(subst,[],[refute_0_410:[bind(X_162,$fot(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87))),bind(X_163,$fot(X_174)),bind(X_3,$fot(X_175))]]) ).
cnf(refute_0_412,plain,
( multiply(multiply(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87),multiply(X_175,inverse(X_175))),inverse(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87))) != multiply(X_174,inverse(X_174))
| multiply(multiply(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87),multiply(X_175,inverse(X_175))),inverse(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87))) != inverse(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87))
| multiply(X_174,inverse(X_174)) = inverse(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87),multiply(X_175,inverse(X_175))),inverse(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87))),inverse(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87))) ),[0],$fot(multiply(X_174,inverse(X_174)))]]) ).
cnf(refute_0_413,plain,
( multiply(multiply(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87),multiply(X_175,inverse(X_175))),inverse(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87))) != inverse(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87))
| multiply(X_174,inverse(X_174)) = inverse(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87),multiply(X_175,inverse(X_175))),inverse(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87))),multiply(X_174,inverse(X_174))) )],[refute_0_411,refute_0_412]) ).
cnf(refute_0_414,plain,
multiply(X_174,inverse(X_174)) = inverse(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87)),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87),multiply(X_175,inverse(X_175))),inverse(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87))),inverse(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87))) )],[refute_0_317,refute_0_413]) ).
cnf(refute_0_415,plain,
inverse(multiply(X_87,multiply(X_175,inverse(X_175)))) = inverse(X_87),
inference(subst,[],[refute_0_205:[bind(B,$fot(X_87)),bind(D,$fot(X_175))]]) ).
cnf(refute_0_416,plain,
multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87) = multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87))]]) ).
cnf(refute_0_417,plain,
( multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87) != multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87)
| inverse(multiply(X_87,multiply(X_175,inverse(X_175)))) != inverse(X_87)
| multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87) = multiply(inverse(X_87),X_87) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87),multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87)) ),[1,0],$fot(inverse(X_87))]]) ).
cnf(refute_0_418,plain,
( inverse(multiply(X_87,multiply(X_175,inverse(X_175)))) != inverse(X_87)
| multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87) = multiply(inverse(X_87),X_87) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87),multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87)) )],[refute_0_416,refute_0_417]) ).
cnf(refute_0_419,plain,
multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87) = multiply(inverse(X_87),X_87),
inference(resolve,[$cnf( $equal(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),inverse(X_87)) )],[refute_0_415,refute_0_418]) ).
cnf(refute_0_420,plain,
inverse(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87)) = inverse(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87)),
introduced(tautology,[refl,[$fot(inverse(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87)))]]) ).
cnf(refute_0_421,plain,
( multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87) != multiply(inverse(X_87),X_87)
| inverse(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87)) != inverse(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87))
| inverse(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87)) = inverse(multiply(inverse(X_87),X_87)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87)),inverse(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87))) ),[1,0],$fot(multiply(inverse(X_87),X_87))]]) ).
cnf(refute_0_422,plain,
( multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87) != multiply(inverse(X_87),X_87)
| inverse(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87)) = inverse(multiply(inverse(X_87),X_87)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87)),inverse(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87))) )],[refute_0_420,refute_0_421]) ).
cnf(refute_0_423,plain,
inverse(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87)) = inverse(multiply(inverse(X_87),X_87)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87),multiply(inverse(X_87),X_87)) )],[refute_0_419,refute_0_422]) ).
cnf(refute_0_424,plain,
( multiply(X_174,inverse(X_174)) != inverse(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87))
| inverse(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87)) != inverse(multiply(inverse(X_87),X_87))
| multiply(X_174,inverse(X_174)) = inverse(multiply(inverse(X_87),X_87)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_174,inverse(X_174)),inverse(multiply(inverse(X_87),X_87))) ),[0],$fot(inverse(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87)))]]) ).
cnf(refute_0_425,plain,
( multiply(X_174,inverse(X_174)) != inverse(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87))
| multiply(X_174,inverse(X_174)) = inverse(multiply(inverse(X_87),X_87)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87)),inverse(multiply(inverse(X_87),X_87))) )],[refute_0_423,refute_0_424]) ).
cnf(refute_0_426,plain,
multiply(X_174,inverse(X_174)) = inverse(multiply(inverse(X_87),X_87)),
inference(resolve,[$cnf( $equal(multiply(X_174,inverse(X_174)),inverse(multiply(inverse(multiply(X_87,multiply(X_175,inverse(X_175)))),X_87))) )],[refute_0_414,refute_0_425]) ).
cnf(refute_0_427,plain,
multiply(X_82,inverse(X_82)) = inverse(multiply(inverse(X_177),X_177)),
inference(subst,[],[refute_0_426:[bind(X_174,$fot(X_82)),bind(X_87,$fot(X_177))]]) ).
cnf(refute_0_428,plain,
( multiply(X_82,inverse(X_82)) != inverse(multiply(inverse(X_177),X_177))
| multiply(inverse(multiply(X_82,inverse(X_82))),C) != C
| multiply(inverse(inverse(multiply(inverse(X_177),X_177))),C) = C ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_82,inverse(X_82))),C),C) ),[0,0,0],$fot(inverse(multiply(inverse(X_177),X_177)))]]) ).
cnf(refute_0_429,plain,
( multiply(inverse(multiply(X_82,inverse(X_82))),C) != C
| multiply(inverse(inverse(multiply(inverse(X_177),X_177))),C) = C ),
inference(resolve,[$cnf( $equal(multiply(X_82,inverse(X_82)),inverse(multiply(inverse(X_177),X_177))) )],[refute_0_427,refute_0_428]) ).
cnf(refute_0_430,plain,
multiply(inverse(inverse(multiply(inverse(X_177),X_177))),C) = C,
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_82,inverse(X_82))),C),C) )],[refute_0_278,refute_0_429]) ).
cnf(refute_0_431,plain,
inverse(inverse(multiply(inverse(X_177),X_177))) = multiply(inverse(X_177),X_177),
inference(subst,[],[refute_0_268:[bind(C,$fot(multiply(inverse(X_177),X_177)))]]) ).
cnf(refute_0_432,plain,
multiply(inverse(inverse(multiply(inverse(X_177),X_177))),C) = multiply(inverse(inverse(multiply(inverse(X_177),X_177))),C),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(multiply(inverse(X_177),X_177))),C))]]) ).
cnf(refute_0_433,plain,
( multiply(inverse(inverse(multiply(inverse(X_177),X_177))),C) != multiply(inverse(inverse(multiply(inverse(X_177),X_177))),C)
| inverse(inverse(multiply(inverse(X_177),X_177))) != multiply(inverse(X_177),X_177)
| multiply(inverse(inverse(multiply(inverse(X_177),X_177))),C) = multiply(multiply(inverse(X_177),X_177),C) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(multiply(inverse(X_177),X_177))),C),multiply(inverse(inverse(multiply(inverse(X_177),X_177))),C)) ),[1,0],$fot(multiply(inverse(X_177),X_177))]]) ).
cnf(refute_0_434,plain,
( inverse(inverse(multiply(inverse(X_177),X_177))) != multiply(inverse(X_177),X_177)
| multiply(inverse(inverse(multiply(inverse(X_177),X_177))),C) = multiply(multiply(inverse(X_177),X_177),C) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(inverse(X_177),X_177))),C),multiply(inverse(inverse(multiply(inverse(X_177),X_177))),C)) )],[refute_0_432,refute_0_433]) ).
cnf(refute_0_435,plain,
multiply(inverse(inverse(multiply(inverse(X_177),X_177))),C) = multiply(multiply(inverse(X_177),X_177),C),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(X_177),X_177))),multiply(inverse(X_177),X_177)) )],[refute_0_431,refute_0_434]) ).
cnf(refute_0_436,plain,
( multiply(inverse(inverse(multiply(inverse(X_177),X_177))),C) != C
| multiply(inverse(inverse(multiply(inverse(X_177),X_177))),C) != multiply(multiply(inverse(X_177),X_177),C)
| multiply(multiply(inverse(X_177),X_177),C) = C ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(multiply(inverse(X_177),X_177))),C),C) ),[0],$fot(multiply(multiply(inverse(X_177),X_177),C))]]) ).
cnf(refute_0_437,plain,
( multiply(inverse(inverse(multiply(inverse(X_177),X_177))),C) != C
| multiply(multiply(inverse(X_177),X_177),C) = C ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(inverse(X_177),X_177))),C),multiply(multiply(inverse(X_177),X_177),C)) )],[refute_0_435,refute_0_436]) ).
cnf(refute_0_438,plain,
multiply(multiply(inverse(X_177),X_177),C) = C,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(inverse(X_177),X_177))),C),C) )],[refute_0_430,refute_0_437]) ).
cnf(refute_0_439,plain,
multiply(multiply(inverse(b2),b2),a2) = a2,
inference(subst,[],[refute_0_438:[bind(C,$fot(a2)),bind(X_177,$fot(b2))]]) ).
cnf(refute_0_440,plain,
( multiply(multiply(inverse(b2),b2),a2) != a2
| a2 != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(inverse(b2),b2),a2),a2) ),[0],$fot(a2)]]) ).
cnf(refute_0_441,plain,
( a2 != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),a2) )],[refute_0_439,refute_0_440]) ).
cnf(refute_0_442,plain,
a2 != a2,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),a2) )],[refute_0_441,prove_these_axioms_2]) ).
cnf(refute_0_443,plain,
a2 = a2,
introduced(tautology,[refl,[$fot(a2)]]) ).
cnf(refute_0_444,plain,
$false,
inference(resolve,[$cnf( $equal(a2,a2) )],[refute_0_443,refute_0_442]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP434-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 21:47:13 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 124.23/124.49 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 124.23/124.49
% 124.23/124.49 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 124.37/124.57
%------------------------------------------------------------------------------