TSTP Solution File: GRP086-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP086-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 10:34:37 EDT 2022
% Result : Unsatisfiable 4.61s 4.80s
% Output : CNFRefutation 4.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 103
% Number of leaves : 177
% Syntax : Number of clauses : 688 ( 355 unt; 0 nHn; 332 RR)
% Number of literals : 1181 (1180 equ; 502 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 15 ( 3 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 2196 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
multiply(X,multiply(multiply(Y,Z),inverse(multiply(X,Z)))) = Y ).
cnf(prove_these_axioms,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ) ).
cnf(refute_0_0,plain,
multiply(X,multiply(multiply(Y,multiply(multiply(X_1,X_2),inverse(multiply(X,X_2)))),inverse(multiply(X,multiply(multiply(X_1,X_2),inverse(multiply(X,X_2))))))) = Y,
inference(subst,[],[single_axiom:[bind(Z,$fot(multiply(multiply(X_1,X_2),inverse(multiply(X,X_2)))))]]) ).
cnf(refute_0_1,plain,
multiply(X,multiply(multiply(X_1,X_2),inverse(multiply(X,X_2)))) = X_1,
inference(subst,[],[single_axiom:[bind(Y,$fot(X_1)),bind(Z,$fot(X_2))]]) ).
cnf(refute_0_2,plain,
( multiply(X,multiply(multiply(Y,multiply(multiply(X_1,X_2),inverse(multiply(X,X_2)))),inverse(multiply(X,multiply(multiply(X_1,X_2),inverse(multiply(X,X_2))))))) != Y
| multiply(X,multiply(multiply(X_1,X_2),inverse(multiply(X,X_2)))) != X_1
| multiply(X,multiply(multiply(Y,multiply(multiply(X_1,X_2),inverse(multiply(X,X_2)))),inverse(X_1))) = Y ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(multiply(Y,multiply(multiply(X_1,X_2),inverse(multiply(X,X_2)))),inverse(multiply(X,multiply(multiply(X_1,X_2),inverse(multiply(X,X_2))))))),Y) ),[0,1,1,0],$fot(X_1)]]) ).
cnf(refute_0_3,plain,
( multiply(X,multiply(multiply(Y,multiply(multiply(X_1,X_2),inverse(multiply(X,X_2)))),inverse(multiply(X,multiply(multiply(X_1,X_2),inverse(multiply(X,X_2))))))) != Y
| multiply(X,multiply(multiply(Y,multiply(multiply(X_1,X_2),inverse(multiply(X,X_2)))),inverse(X_1))) = Y ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(X_1,X_2),inverse(multiply(X,X_2)))),X_1) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
multiply(X,multiply(multiply(Y,multiply(multiply(X_1,X_2),inverse(multiply(X,X_2)))),inverse(X_1))) = Y,
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(Y,multiply(multiply(X_1,X_2),inverse(multiply(X,X_2)))),inverse(multiply(X,multiply(multiply(X_1,X_2),inverse(multiply(X,X_2))))))),Y) )],[refute_0_0,refute_0_3]) ).
cnf(refute_0_5,plain,
multiply(X,multiply(multiply(multiply(X,X_2),multiply(multiply(X_1,X_2),inverse(multiply(X,X_2)))),inverse(X_1))) = multiply(X,X_2),
inference(subst,[],[refute_0_4:[bind(Y,$fot(multiply(X,X_2)))]]) ).
cnf(refute_0_6,plain,
multiply(X,multiply(multiply(Y,multiply(X_8,inverse(X_8))),inverse(multiply(X,multiply(X_8,inverse(X_8)))))) = Y,
inference(subst,[],[single_axiom:[bind(Z,$fot(multiply(X_8,inverse(X_8))))]]) ).
cnf(refute_0_7,plain,
multiply(X,multiply(multiply(Y,multiply(multiply(X_1,X_2),inverse(multiply(Y,X_2)))),inverse(multiply(X,multiply(multiply(X_1,X_2),inverse(multiply(Y,X_2))))))) = Y,
inference(subst,[],[single_axiom:[bind(Z,$fot(multiply(multiply(X_1,X_2),inverse(multiply(Y,X_2)))))]]) ).
cnf(refute_0_8,plain,
multiply(Y,multiply(multiply(X_1,X_2),inverse(multiply(Y,X_2)))) = X_1,
inference(subst,[],[single_axiom:[bind(X,$fot(Y)),bind(Y,$fot(X_1)),bind(Z,$fot(X_2))]]) ).
cnf(refute_0_9,plain,
( multiply(X,multiply(multiply(Y,multiply(multiply(X_1,X_2),inverse(multiply(Y,X_2)))),inverse(multiply(X,multiply(multiply(X_1,X_2),inverse(multiply(Y,X_2))))))) != Y
| multiply(Y,multiply(multiply(X_1,X_2),inverse(multiply(Y,X_2)))) != X_1
| multiply(X,multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,X_2),inverse(multiply(Y,X_2))))))) = Y ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(multiply(Y,multiply(multiply(X_1,X_2),inverse(multiply(Y,X_2)))),inverse(multiply(X,multiply(multiply(X_1,X_2),inverse(multiply(Y,X_2))))))),Y) ),[0,1,0],$fot(X_1)]]) ).
cnf(refute_0_10,plain,
( multiply(X,multiply(multiply(Y,multiply(multiply(X_1,X_2),inverse(multiply(Y,X_2)))),inverse(multiply(X,multiply(multiply(X_1,X_2),inverse(multiply(Y,X_2))))))) != Y
| multiply(X,multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,X_2),inverse(multiply(Y,X_2))))))) = Y ),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(multiply(X_1,X_2),inverse(multiply(Y,X_2)))),X_1) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
multiply(X,multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,X_2),inverse(multiply(Y,X_2))))))) = Y,
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(Y,multiply(multiply(X_1,X_2),inverse(multiply(Y,X_2)))),inverse(multiply(X,multiply(multiply(X_1,X_2),inverse(multiply(Y,X_2))))))),Y) )],[refute_0_7,refute_0_10]) ).
cnf(refute_0_12,plain,
multiply(X_4,multiply(X_5,inverse(multiply(X_4,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))) = X_4,
inference(subst,[],[refute_0_11:[bind(X,$fot(X_4)),bind(Y,$fot(X_4)),bind(X_1,$fot(X_5)),bind(X_2,$fot(X_6))]]) ).
cnf(refute_0_13,plain,
multiply(X_4,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6)))) = X_5,
inference(subst,[],[single_axiom:[bind(X,$fot(X_4)),bind(Y,$fot(X_5)),bind(Z,$fot(X_6))]]) ).
cnf(refute_0_14,plain,
( multiply(X_4,multiply(X_5,inverse(multiply(X_4,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))) != X_4
| multiply(X_4,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6)))) != X_5
| multiply(X_4,multiply(X_5,inverse(X_5))) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_4,multiply(X_5,inverse(multiply(X_4,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X_4) ),[0,1,1,0],$fot(X_5)]]) ).
cnf(refute_0_15,plain,
( multiply(X_4,multiply(X_5,inverse(multiply(X_4,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))) != X_4
| multiply(X_4,multiply(X_5,inverse(X_5))) = X_4 ),
inference(resolve,[$cnf( $equal(multiply(X_4,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6)))),X_5) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
multiply(X_4,multiply(X_5,inverse(X_5))) = X_4,
inference(resolve,[$cnf( $equal(multiply(X_4,multiply(X_5,inverse(multiply(X_4,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X_4) )],[refute_0_12,refute_0_15]) ).
cnf(refute_0_17,plain,
multiply(Y,multiply(X_8,inverse(X_8))) = Y,
inference(subst,[],[refute_0_16:[bind(X_4,$fot(Y)),bind(X_5,$fot(X_8))]]) ).
cnf(refute_0_18,plain,
( multiply(X,multiply(multiply(Y,multiply(X_8,inverse(X_8))),inverse(multiply(X,multiply(X_8,inverse(X_8)))))) != Y
| multiply(Y,multiply(X_8,inverse(X_8))) != Y
| multiply(X,multiply(Y,inverse(multiply(X,multiply(X_8,inverse(X_8)))))) = Y ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(multiply(Y,multiply(X_8,inverse(X_8))),inverse(multiply(X,multiply(X_8,inverse(X_8)))))),Y) ),[0,1,0],$fot(Y)]]) ).
cnf(refute_0_19,plain,
( multiply(X,multiply(multiply(Y,multiply(X_8,inverse(X_8))),inverse(multiply(X,multiply(X_8,inverse(X_8)))))) != Y
| multiply(X,multiply(Y,inverse(multiply(X,multiply(X_8,inverse(X_8)))))) = Y ),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(X_8,inverse(X_8))),Y) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
multiply(X,multiply(Y,inverse(multiply(X,multiply(X_8,inverse(X_8)))))) = Y,
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(Y,multiply(X_8,inverse(X_8))),inverse(multiply(X,multiply(X_8,inverse(X_8)))))),Y) )],[refute_0_6,refute_0_19]) ).
cnf(refute_0_21,plain,
multiply(X,multiply(X_8,inverse(X_8))) = X,
inference(subst,[],[refute_0_16:[bind(X_4,$fot(X)),bind(X_5,$fot(X_8))]]) ).
cnf(refute_0_22,plain,
inverse(multiply(X,multiply(X_8,inverse(X_8)))) = inverse(multiply(X,multiply(X_8,inverse(X_8)))),
introduced(tautology,[refl,[$fot(inverse(multiply(X,multiply(X_8,inverse(X_8)))))]]) ).
cnf(refute_0_23,plain,
( multiply(X,multiply(X_8,inverse(X_8))) != X
| inverse(multiply(X,multiply(X_8,inverse(X_8)))) != inverse(multiply(X,multiply(X_8,inverse(X_8))))
| inverse(multiply(X,multiply(X_8,inverse(X_8)))) = inverse(X) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X,multiply(X_8,inverse(X_8)))),inverse(multiply(X,multiply(X_8,inverse(X_8))))) ),[1,0],$fot(X)]]) ).
cnf(refute_0_24,plain,
( multiply(X,multiply(X_8,inverse(X_8))) != X
| inverse(multiply(X,multiply(X_8,inverse(X_8)))) = inverse(X) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X,multiply(X_8,inverse(X_8)))),inverse(multiply(X,multiply(X_8,inverse(X_8))))) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
inverse(multiply(X,multiply(X_8,inverse(X_8)))) = inverse(X),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_8,inverse(X_8))),X) )],[refute_0_21,refute_0_24]) ).
cnf(refute_0_26,plain,
multiply(Y,inverse(multiply(X,multiply(X_8,inverse(X_8))))) = multiply(Y,inverse(multiply(X,multiply(X_8,inverse(X_8))))),
introduced(tautology,[refl,[$fot(multiply(Y,inverse(multiply(X,multiply(X_8,inverse(X_8))))))]]) ).
cnf(refute_0_27,plain,
( multiply(Y,inverse(multiply(X,multiply(X_8,inverse(X_8))))) != multiply(Y,inverse(multiply(X,multiply(X_8,inverse(X_8)))))
| inverse(multiply(X,multiply(X_8,inverse(X_8)))) != inverse(X)
| multiply(Y,inverse(multiply(X,multiply(X_8,inverse(X_8))))) = multiply(Y,inverse(X)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Y,inverse(multiply(X,multiply(X_8,inverse(X_8))))),multiply(Y,inverse(multiply(X,multiply(X_8,inverse(X_8)))))) ),[1,1],$fot(inverse(X))]]) ).
cnf(refute_0_28,plain,
( inverse(multiply(X,multiply(X_8,inverse(X_8)))) != inverse(X)
| multiply(Y,inverse(multiply(X,multiply(X_8,inverse(X_8))))) = multiply(Y,inverse(X)) ),
inference(resolve,[$cnf( $equal(multiply(Y,inverse(multiply(X,multiply(X_8,inverse(X_8))))),multiply(Y,inverse(multiply(X,multiply(X_8,inverse(X_8)))))) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
multiply(Y,inverse(multiply(X,multiply(X_8,inverse(X_8))))) = multiply(Y,inverse(X)),
inference(resolve,[$cnf( $equal(inverse(multiply(X,multiply(X_8,inverse(X_8)))),inverse(X)) )],[refute_0_25,refute_0_28]) ).
cnf(refute_0_30,plain,
multiply(X,multiply(Y,inverse(multiply(X,multiply(X_8,inverse(X_8)))))) = multiply(X,multiply(Y,inverse(multiply(X,multiply(X_8,inverse(X_8)))))),
introduced(tautology,[refl,[$fot(multiply(X,multiply(Y,inverse(multiply(X,multiply(X_8,inverse(X_8)))))))]]) ).
cnf(refute_0_31,plain,
( multiply(X,multiply(Y,inverse(multiply(X,multiply(X_8,inverse(X_8)))))) != multiply(X,multiply(Y,inverse(multiply(X,multiply(X_8,inverse(X_8))))))
| multiply(Y,inverse(multiply(X,multiply(X_8,inverse(X_8))))) != multiply(Y,inverse(X))
| multiply(X,multiply(Y,inverse(multiply(X,multiply(X_8,inverse(X_8)))))) = multiply(X,multiply(Y,inverse(X))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(Y,inverse(multiply(X,multiply(X_8,inverse(X_8)))))),multiply(X,multiply(Y,inverse(multiply(X,multiply(X_8,inverse(X_8))))))) ),[1,1],$fot(multiply(Y,inverse(X)))]]) ).
cnf(refute_0_32,plain,
( multiply(Y,inverse(multiply(X,multiply(X_8,inverse(X_8))))) != multiply(Y,inverse(X))
| multiply(X,multiply(Y,inverse(multiply(X,multiply(X_8,inverse(X_8)))))) = multiply(X,multiply(Y,inverse(X))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(Y,inverse(multiply(X,multiply(X_8,inverse(X_8)))))),multiply(X,multiply(Y,inverse(multiply(X,multiply(X_8,inverse(X_8))))))) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
multiply(X,multiply(Y,inverse(multiply(X,multiply(X_8,inverse(X_8)))))) = multiply(X,multiply(Y,inverse(X))),
inference(resolve,[$cnf( $equal(multiply(Y,inverse(multiply(X,multiply(X_8,inverse(X_8))))),multiply(Y,inverse(X))) )],[refute_0_29,refute_0_32]) ).
cnf(refute_0_34,plain,
( multiply(X,multiply(Y,inverse(multiply(X,multiply(X_8,inverse(X_8)))))) != Y
| multiply(X,multiply(Y,inverse(multiply(X,multiply(X_8,inverse(X_8)))))) != multiply(X,multiply(Y,inverse(X)))
| multiply(X,multiply(Y,inverse(X))) = Y ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(Y,inverse(multiply(X,multiply(X_8,inverse(X_8)))))),Y) ),[0],$fot(multiply(X,multiply(Y,inverse(X))))]]) ).
cnf(refute_0_35,plain,
( multiply(X,multiply(Y,inverse(multiply(X,multiply(X_8,inverse(X_8)))))) != Y
| multiply(X,multiply(Y,inverse(X))) = Y ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(Y,inverse(multiply(X,multiply(X_8,inverse(X_8)))))),multiply(X,multiply(Y,inverse(X)))) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
multiply(X,multiply(Y,inverse(X))) = Y,
inference(resolve,[$cnf( $equal(multiply(X,multiply(Y,inverse(multiply(X,multiply(X_8,inverse(X_8)))))),Y) )],[refute_0_20,refute_0_35]) ).
cnf(refute_0_37,plain,
multiply(multiply(X,X_2),multiply(multiply(X_1,X_2),inverse(multiply(X,X_2)))) = multiply(X_1,X_2),
inference(subst,[],[refute_0_36:[bind(X,$fot(multiply(X,X_2))),bind(Y,$fot(multiply(X_1,X_2)))]]) ).
cnf(refute_0_38,plain,
( multiply(X,multiply(multiply(multiply(X,X_2),multiply(multiply(X_1,X_2),inverse(multiply(X,X_2)))),inverse(X_1))) != multiply(X,X_2)
| multiply(multiply(X,X_2),multiply(multiply(X_1,X_2),inverse(multiply(X,X_2)))) != multiply(X_1,X_2)
| multiply(X,multiply(multiply(X_1,X_2),inverse(X_1))) = multiply(X,X_2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(multiply(multiply(X,X_2),multiply(multiply(X_1,X_2),inverse(multiply(X,X_2)))),inverse(X_1))),multiply(X,X_2)) ),[0,1,0],$fot(multiply(X_1,X_2))]]) ).
cnf(refute_0_39,plain,
( multiply(X,multiply(multiply(multiply(X,X_2),multiply(multiply(X_1,X_2),inverse(multiply(X,X_2)))),inverse(X_1))) != multiply(X,X_2)
| multiply(X,multiply(multiply(X_1,X_2),inverse(X_1))) = multiply(X,X_2) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,X_2),multiply(multiply(X_1,X_2),inverse(multiply(X,X_2)))),multiply(X_1,X_2)) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
multiply(X,multiply(multiply(X_1,X_2),inverse(X_1))) = multiply(X,X_2),
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(multiply(X,X_2),multiply(multiply(X_1,X_2),inverse(multiply(X,X_2)))),inverse(X_1))),multiply(X,X_2)) )],[refute_0_5,refute_0_39]) ).
cnf(refute_0_41,plain,
multiply(X,multiply(multiply(X_1,multiply(X_31,inverse(multiply(X_31,inverse(X_1))))),inverse(X_1))) = multiply(X,multiply(X_31,inverse(multiply(X_31,inverse(X_1))))),
inference(subst,[],[refute_0_40:[bind(X_2,$fot(multiply(X_31,inverse(multiply(X_31,inverse(X_1))))))]]) ).
cnf(refute_0_42,plain,
multiply(multiply(Y,X_2),multiply(X_1,inverse(multiply(multiply(Y,X_2),multiply(multiply(X_1,X_2),inverse(multiply(Y,X_2))))))) = Y,
inference(subst,[],[refute_0_11:[bind(X,$fot(multiply(Y,X_2)))]]) ).
cnf(refute_0_43,plain,
multiply(multiply(Y,X_2),multiply(multiply(X_1,X_2),inverse(multiply(Y,X_2)))) = multiply(X_1,X_2),
inference(subst,[],[refute_0_36:[bind(X,$fot(multiply(Y,X_2))),bind(Y,$fot(multiply(X_1,X_2)))]]) ).
cnf(refute_0_44,plain,
( multiply(multiply(Y,X_2),multiply(X_1,inverse(multiply(multiply(Y,X_2),multiply(multiply(X_1,X_2),inverse(multiply(Y,X_2))))))) != Y
| multiply(multiply(Y,X_2),multiply(multiply(X_1,X_2),inverse(multiply(Y,X_2)))) != multiply(X_1,X_2)
| multiply(multiply(Y,X_2),multiply(X_1,inverse(multiply(X_1,X_2)))) = Y ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(Y,X_2),multiply(X_1,inverse(multiply(multiply(Y,X_2),multiply(multiply(X_1,X_2),inverse(multiply(Y,X_2))))))),Y) ),[0,1,1,0],$fot(multiply(X_1,X_2))]]) ).
cnf(refute_0_45,plain,
( multiply(multiply(Y,X_2),multiply(X_1,inverse(multiply(multiply(Y,X_2),multiply(multiply(X_1,X_2),inverse(multiply(Y,X_2))))))) != Y
| multiply(multiply(Y,X_2),multiply(X_1,inverse(multiply(X_1,X_2)))) = Y ),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,X_2),multiply(multiply(X_1,X_2),inverse(multiply(Y,X_2)))),multiply(X_1,X_2)) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
multiply(multiply(Y,X_2),multiply(X_1,inverse(multiply(X_1,X_2)))) = Y,
inference(resolve,[$cnf( $equal(multiply(multiply(Y,X_2),multiply(X_1,inverse(multiply(multiply(Y,X_2),multiply(multiply(X_1,X_2),inverse(multiply(Y,X_2))))))),Y) )],[refute_0_42,refute_0_45]) ).
cnf(refute_0_47,plain,
multiply(multiply(Y,multiply(X_22,inverse(multiply(X_22,X_23)))),multiply(multiply(X_21,X_23),inverse(multiply(multiply(X_21,X_23),multiply(X_22,inverse(multiply(X_22,X_23))))))) = Y,
inference(subst,[],[refute_0_46:[bind(X_1,$fot(multiply(X_21,X_23))),bind(X_2,$fot(multiply(X_22,inverse(multiply(X_22,X_23)))))]]) ).
cnf(refute_0_48,plain,
multiply(multiply(X_21,X_23),multiply(X_22,inverse(multiply(X_22,X_23)))) = X_21,
inference(subst,[],[refute_0_46:[bind(Y,$fot(X_21)),bind(X_1,$fot(X_22)),bind(X_2,$fot(X_23))]]) ).
cnf(refute_0_49,plain,
( multiply(multiply(Y,multiply(X_22,inverse(multiply(X_22,X_23)))),multiply(multiply(X_21,X_23),inverse(multiply(multiply(X_21,X_23),multiply(X_22,inverse(multiply(X_22,X_23))))))) != Y
| multiply(multiply(X_21,X_23),multiply(X_22,inverse(multiply(X_22,X_23)))) != X_21
| multiply(multiply(Y,multiply(X_22,inverse(multiply(X_22,X_23)))),multiply(multiply(X_21,X_23),inverse(X_21))) = Y ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(Y,multiply(X_22,inverse(multiply(X_22,X_23)))),multiply(multiply(X_21,X_23),inverse(multiply(multiply(X_21,X_23),multiply(X_22,inverse(multiply(X_22,X_23))))))),Y) ),[0,1,1,0],$fot(X_21)]]) ).
cnf(refute_0_50,plain,
( multiply(multiply(Y,multiply(X_22,inverse(multiply(X_22,X_23)))),multiply(multiply(X_21,X_23),inverse(multiply(multiply(X_21,X_23),multiply(X_22,inverse(multiply(X_22,X_23))))))) != Y
| multiply(multiply(Y,multiply(X_22,inverse(multiply(X_22,X_23)))),multiply(multiply(X_21,X_23),inverse(X_21))) = Y ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_21,X_23),multiply(X_22,inverse(multiply(X_22,X_23)))),X_21) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
multiply(multiply(Y,multiply(X_22,inverse(multiply(X_22,X_23)))),multiply(multiply(X_21,X_23),inverse(X_21))) = Y,
inference(resolve,[$cnf( $equal(multiply(multiply(Y,multiply(X_22,inverse(multiply(X_22,X_23)))),multiply(multiply(X_21,X_23),inverse(multiply(multiply(X_21,X_23),multiply(X_22,inverse(multiply(X_22,X_23))))))),Y) )],[refute_0_47,refute_0_50]) ).
cnf(refute_0_52,plain,
multiply(multiply(Y,multiply(X_22,inverse(multiply(X_22,X_23)))),multiply(multiply(X_21,X_23),inverse(X_21))) = multiply(multiply(Y,multiply(X_22,inverse(multiply(X_22,X_23)))),X_23),
inference(subst,[],[refute_0_40:[bind(X,$fot(multiply(Y,multiply(X_22,inverse(multiply(X_22,X_23)))))),bind(X_1,$fot(X_21)),bind(X_2,$fot(X_23))]]) ).
cnf(refute_0_53,plain,
( multiply(multiply(Y,multiply(X_22,inverse(multiply(X_22,X_23)))),multiply(multiply(X_21,X_23),inverse(X_21))) != Y
| multiply(multiply(Y,multiply(X_22,inverse(multiply(X_22,X_23)))),multiply(multiply(X_21,X_23),inverse(X_21))) != multiply(multiply(Y,multiply(X_22,inverse(multiply(X_22,X_23)))),X_23)
| multiply(multiply(Y,multiply(X_22,inverse(multiply(X_22,X_23)))),X_23) = Y ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(Y,multiply(X_22,inverse(multiply(X_22,X_23)))),multiply(multiply(X_21,X_23),inverse(X_21))),Y) ),[0],$fot(multiply(multiply(Y,multiply(X_22,inverse(multiply(X_22,X_23)))),X_23))]]) ).
cnf(refute_0_54,plain,
( multiply(multiply(Y,multiply(X_22,inverse(multiply(X_22,X_23)))),multiply(multiply(X_21,X_23),inverse(X_21))) != Y
| multiply(multiply(Y,multiply(X_22,inverse(multiply(X_22,X_23)))),X_23) = Y ),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,multiply(X_22,inverse(multiply(X_22,X_23)))),multiply(multiply(X_21,X_23),inverse(X_21))),multiply(multiply(Y,multiply(X_22,inverse(multiply(X_22,X_23)))),X_23)) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
multiply(multiply(Y,multiply(X_22,inverse(multiply(X_22,X_23)))),X_23) = Y,
inference(resolve,[$cnf( $equal(multiply(multiply(Y,multiply(X_22,inverse(multiply(X_22,X_23)))),multiply(multiply(X_21,X_23),inverse(X_21))),Y) )],[refute_0_51,refute_0_54]) ).
cnf(refute_0_56,plain,
multiply(multiply(X_1,multiply(X_31,inverse(multiply(X_31,inverse(X_1))))),inverse(X_1)) = X_1,
inference(subst,[],[refute_0_55:[bind(Y,$fot(X_1)),bind(X_22,$fot(X_31)),bind(X_23,$fot(inverse(X_1)))]]) ).
cnf(refute_0_57,plain,
( multiply(X,multiply(multiply(X_1,multiply(X_31,inverse(multiply(X_31,inverse(X_1))))),inverse(X_1))) != multiply(X,multiply(X_31,inverse(multiply(X_31,inverse(X_1)))))
| multiply(multiply(X_1,multiply(X_31,inverse(multiply(X_31,inverse(X_1))))),inverse(X_1)) != X_1
| multiply(X,X_1) = multiply(X,multiply(X_31,inverse(multiply(X_31,inverse(X_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(multiply(X_1,multiply(X_31,inverse(multiply(X_31,inverse(X_1))))),inverse(X_1))),multiply(X,multiply(X_31,inverse(multiply(X_31,inverse(X_1)))))) ),[0,1],$fot(X_1)]]) ).
cnf(refute_0_58,plain,
( multiply(X,multiply(multiply(X_1,multiply(X_31,inverse(multiply(X_31,inverse(X_1))))),inverse(X_1))) != multiply(X,multiply(X_31,inverse(multiply(X_31,inverse(X_1)))))
| multiply(X,X_1) = multiply(X,multiply(X_31,inverse(multiply(X_31,inverse(X_1))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_1,multiply(X_31,inverse(multiply(X_31,inverse(X_1))))),inverse(X_1)),X_1) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
multiply(X,X_1) = multiply(X,multiply(X_31,inverse(multiply(X_31,inverse(X_1))))),
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(X_1,multiply(X_31,inverse(multiply(X_31,inverse(X_1))))),inverse(X_1))),multiply(X,multiply(X_31,inverse(multiply(X_31,inverse(X_1)))))) )],[refute_0_41,refute_0_58]) ).
cnf(refute_0_60,plain,
multiply(X,multiply(multiply(X_30,multiply(X_31,inverse(multiply(X_31,inverse(X))))),inverse(X))) = multiply(X_30,multiply(X_31,inverse(multiply(X_31,inverse(X))))),
inference(subst,[],[refute_0_36:[bind(Y,$fot(multiply(X_30,multiply(X_31,inverse(multiply(X_31,inverse(X)))))))]]) ).
cnf(refute_0_61,plain,
multiply(multiply(X_30,multiply(X_31,inverse(multiply(X_31,inverse(X))))),inverse(X)) = X_30,
inference(subst,[],[refute_0_55:[bind(Y,$fot(X_30)),bind(X_22,$fot(X_31)),bind(X_23,$fot(inverse(X)))]]) ).
cnf(refute_0_62,plain,
( multiply(X,multiply(multiply(X_30,multiply(X_31,inverse(multiply(X_31,inverse(X))))),inverse(X))) != multiply(X_30,multiply(X_31,inverse(multiply(X_31,inverse(X)))))
| multiply(multiply(X_30,multiply(X_31,inverse(multiply(X_31,inverse(X))))),inverse(X)) != X_30
| multiply(X,X_30) = multiply(X_30,multiply(X_31,inverse(multiply(X_31,inverse(X))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(multiply(X_30,multiply(X_31,inverse(multiply(X_31,inverse(X))))),inverse(X))),multiply(X_30,multiply(X_31,inverse(multiply(X_31,inverse(X)))))) ),[0,1],$fot(X_30)]]) ).
cnf(refute_0_63,plain,
( multiply(X,multiply(multiply(X_30,multiply(X_31,inverse(multiply(X_31,inverse(X))))),inverse(X))) != multiply(X_30,multiply(X_31,inverse(multiply(X_31,inverse(X)))))
| multiply(X,X_30) = multiply(X_30,multiply(X_31,inverse(multiply(X_31,inverse(X))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_30,multiply(X_31,inverse(multiply(X_31,inverse(X))))),inverse(X)),X_30) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
multiply(X,X_30) = multiply(X_30,multiply(X_31,inverse(multiply(X_31,inverse(X))))),
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(X_30,multiply(X_31,inverse(multiply(X_31,inverse(X))))),inverse(X))),multiply(X_30,multiply(X_31,inverse(multiply(X_31,inverse(X)))))) )],[refute_0_60,refute_0_63]) ).
cnf(refute_0_65,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_66,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_67,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
( multiply(X,X_30) != multiply(X_30,multiply(X_31,inverse(multiply(X_31,inverse(X)))))
| multiply(X_30,multiply(X_31,inverse(multiply(X_31,inverse(X))))) = multiply(X,X_30) ),
inference(subst,[],[refute_0_67:[bind(X0,$fot(multiply(X,X_30))),bind(Y0,$fot(multiply(X_30,multiply(X_31,inverse(multiply(X_31,inverse(X)))))))]]) ).
cnf(refute_0_69,plain,
multiply(X_30,multiply(X_31,inverse(multiply(X_31,inverse(X))))) = multiply(X,X_30),
inference(resolve,[$cnf( $equal(multiply(X,X_30),multiply(X_30,multiply(X_31,inverse(multiply(X_31,inverse(X)))))) )],[refute_0_64,refute_0_68]) ).
cnf(refute_0_70,plain,
multiply(X,multiply(X_31,inverse(multiply(X_31,inverse(X_1))))) = multiply(X_1,X),
inference(subst,[],[refute_0_69:[bind(X,$fot(X_1)),bind(X_30,$fot(X))]]) ).
cnf(refute_0_71,plain,
( multiply(X,X_1) != multiply(X,multiply(X_31,inverse(multiply(X_31,inverse(X_1)))))
| multiply(X,multiply(X_31,inverse(multiply(X_31,inverse(X_1))))) != multiply(X_1,X)
| multiply(X,X_1) = multiply(X_1,X) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,X_1),multiply(X_1,X)) ),[0],$fot(multiply(X,multiply(X_31,inverse(multiply(X_31,inverse(X_1))))))]]) ).
cnf(refute_0_72,plain,
( multiply(X,X_1) != multiply(X,multiply(X_31,inverse(multiply(X_31,inverse(X_1)))))
| multiply(X,X_1) = multiply(X_1,X) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_31,inverse(multiply(X_31,inverse(X_1))))),multiply(X_1,X)) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
multiply(X,X_1) = multiply(X_1,X),
inference(resolve,[$cnf( $equal(multiply(X,X_1),multiply(X,multiply(X_31,inverse(multiply(X_31,inverse(X_1)))))) )],[refute_0_59,refute_0_72]) ).
cnf(refute_0_74,plain,
( multiply(X,X_1) != multiply(X_1,X)
| multiply(X_1,X) = multiply(X,X_1) ),
inference(subst,[],[refute_0_67:[bind(X0,$fot(multiply(X,X_1))),bind(Y0,$fot(multiply(X_1,X)))]]) ).
cnf(refute_0_75,plain,
multiply(X_1,X) = multiply(X,X_1),
inference(resolve,[$cnf( $equal(multiply(X,X_1),multiply(X_1,X)) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
multiply(inverse(a1),a1) = multiply(a1,inverse(a1)),
inference(subst,[],[refute_0_75:[bind(X,$fot(a1)),bind(X_1,$fot(inverse(a1)))]]) ).
cnf(refute_0_77,plain,
( multiply(a1,inverse(a1)) != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) != multiply(a1,inverse(a1))
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(a1),a1),multiply(a1,inverse(a1))) ),[1],$fot(multiply(inverse(b1),b1))]]) ).
cnf(refute_0_78,plain,
( multiply(a1,inverse(a1)) != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(a1,inverse(a1))) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
multiply(inverse(b1),b1) = multiply(b1,inverse(b1)),
inference(subst,[],[refute_0_75:[bind(X,$fot(b1)),bind(X_1,$fot(inverse(b1)))]]) ).
cnf(refute_0_80,plain,
( multiply(a1,inverse(a1)) != multiply(b1,inverse(b1))
| multiply(inverse(b1),b1) != multiply(b1,inverse(b1))
| multiply(a1,inverse(a1)) = multiply(inverse(b1),b1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a1,inverse(a1)),multiply(inverse(b1),b1)) ),[1],$fot(multiply(b1,inverse(b1)))]]) ).
cnf(refute_0_81,plain,
( multiply(a1,inverse(a1)) != multiply(b1,inverse(b1))
| multiply(a1,inverse(a1)) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(b1),b1),multiply(b1,inverse(b1))) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
( multiply(a1,inverse(a1)) != multiply(b1,inverse(b1))
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(a1,inverse(a1)),multiply(inverse(b1),b1)) )],[refute_0_81,refute_0_78]) ).
cnf(refute_0_83,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(a1,inverse(a1)) != multiply(b1,inverse(b1))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) )],[refute_0_82,prove_these_axioms]) ).
cnf(refute_0_84,plain,
multiply(b4,a4) = multiply(a4,b4),
inference(subst,[],[refute_0_75:[bind(X,$fot(a4)),bind(X_1,$fot(b4))]]) ).
cnf(refute_0_85,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(b4,a4) != multiply(a4,b4)
| multiply(a4,b4) = multiply(b4,a4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a4,b4),multiply(b4,a4)) ),[1],$fot(multiply(a4,b4))]]) ).
cnf(refute_0_86,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(a4,b4) = multiply(b4,a4) ),
inference(resolve,[$cnf( $equal(multiply(b4,a4),multiply(a4,b4)) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(a1,inverse(a1)) != multiply(b1,inverse(b1))
| multiply(a4,b4) != multiply(a4,b4) ),
inference(resolve,[$cnf( $equal(multiply(a4,b4),multiply(b4,a4)) )],[refute_0_86,refute_0_83]) ).
cnf(refute_0_88,plain,
multiply(a2,multiply(b2,inverse(b2))) = a2,
inference(subst,[],[refute_0_16:[bind(X_4,$fot(a2)),bind(X_5,$fot(b2))]]) ).
cnf(refute_0_89,plain,
multiply(inverse(b2),b2) = multiply(b2,inverse(b2)),
inference(subst,[],[refute_0_75:[bind(X,$fot(b2)),bind(X_1,$fot(inverse(b2)))]]) ).
cnf(refute_0_90,plain,
multiply(a2,multiply(inverse(b2),b2)) = multiply(a2,multiply(inverse(b2),b2)),
introduced(tautology,[refl,[$fot(multiply(a2,multiply(inverse(b2),b2)))]]) ).
cnf(refute_0_91,plain,
( multiply(a2,multiply(inverse(b2),b2)) != multiply(a2,multiply(inverse(b2),b2))
| multiply(inverse(b2),b2) != multiply(b2,inverse(b2))
| multiply(a2,multiply(inverse(b2),b2)) = multiply(a2,multiply(b2,inverse(b2))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a2,multiply(inverse(b2),b2)),multiply(a2,multiply(inverse(b2),b2))) ),[1,1],$fot(multiply(b2,inverse(b2)))]]) ).
cnf(refute_0_92,plain,
( multiply(inverse(b2),b2) != multiply(b2,inverse(b2))
| multiply(a2,multiply(inverse(b2),b2)) = multiply(a2,multiply(b2,inverse(b2))) ),
inference(resolve,[$cnf( $equal(multiply(a2,multiply(inverse(b2),b2)),multiply(a2,multiply(inverse(b2),b2))) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
multiply(a2,multiply(inverse(b2),b2)) = multiply(a2,multiply(b2,inverse(b2))),
inference(resolve,[$cnf( $equal(multiply(inverse(b2),b2),multiply(b2,inverse(b2))) )],[refute_0_89,refute_0_92]) ).
cnf(refute_0_94,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_95,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_67,refute_0_94]) ).
cnf(refute_0_96,plain,
( multiply(a2,multiply(b2,inverse(b2))) != a2
| multiply(a2,multiply(inverse(b2),b2)) != multiply(a2,multiply(b2,inverse(b2)))
| multiply(a2,multiply(inverse(b2),b2)) = a2 ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(a2,multiply(inverse(b2),b2)))),bind(Y0,$fot(multiply(a2,multiply(b2,inverse(b2))))),bind(Z0,$fot(a2))]]) ).
cnf(refute_0_97,plain,
( multiply(a2,multiply(b2,inverse(b2))) != a2
| multiply(a2,multiply(inverse(b2),b2)) = a2 ),
inference(resolve,[$cnf( $equal(multiply(a2,multiply(inverse(b2),b2)),multiply(a2,multiply(b2,inverse(b2)))) )],[refute_0_93,refute_0_96]) ).
cnf(refute_0_98,plain,
multiply(a2,multiply(inverse(b2),b2)) = a2,
inference(resolve,[$cnf( $equal(multiply(a2,multiply(b2,inverse(b2))),a2) )],[refute_0_88,refute_0_97]) ).
cnf(refute_0_99,plain,
multiply(multiply(inverse(b2),b2),a2) = multiply(a2,multiply(inverse(b2),b2)),
inference(subst,[],[refute_0_75:[bind(X,$fot(a2)),bind(X_1,$fot(multiply(inverse(b2),b2)))]]) ).
cnf(refute_0_100,plain,
( multiply(multiply(inverse(b2),b2),a2) != multiply(a2,multiply(inverse(b2),b2))
| multiply(a2,multiply(inverse(b2),b2)) != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(multiply(inverse(b2),b2),a2))),bind(Y0,$fot(multiply(a2,multiply(inverse(b2),b2)))),bind(Z0,$fot(a2))]]) ).
cnf(refute_0_101,plain,
( multiply(a2,multiply(inverse(b2),b2)) != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),multiply(a2,multiply(inverse(b2),b2))) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
multiply(multiply(inverse(b2),b2),a2) = a2,
inference(resolve,[$cnf( $equal(multiply(a2,multiply(inverse(b2),b2)),a2) )],[refute_0_98,refute_0_101]) ).
cnf(refute_0_103,plain,
( multiply(multiply(inverse(b2),b2),a2) != a2
| a2 != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(inverse(b2),b2),a2),a2) ),[0],$fot(a2)]]) ).
cnf(refute_0_104,plain,
( a2 != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),a2) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a1,inverse(a1)) != multiply(b1,inverse(b1))
| multiply(a4,b4) != multiply(a4,b4)
| a2 != a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),a2) )],[refute_0_104,refute_0_87]) ).
cnf(refute_0_106,plain,
multiply(multiply(a3,b3),c3) = multiply(c3,multiply(a3,b3)),
inference(subst,[],[refute_0_75:[bind(X,$fot(c3)),bind(X_1,$fot(multiply(a3,b3)))]]) ).
cnf(refute_0_107,plain,
( multiply(multiply(a3,b3),c3) != multiply(c3,multiply(a3,b3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),[0],$fot(multiply(c3,multiply(a3,b3)))]]) ).
cnf(refute_0_108,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(c3,multiply(a3,b3))) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
( multiply(a1,inverse(a1)) != multiply(b1,inverse(b1))
| multiply(a4,b4) != multiply(a4,b4)
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| a2 != a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_108,refute_0_105]) ).
cnf(refute_0_110,plain,
multiply(a4,b4) = multiply(a4,b4),
introduced(tautology,[refl,[$fot(multiply(a4,b4))]]) ).
cnf(refute_0_111,plain,
( multiply(a1,inverse(a1)) != multiply(b1,inverse(b1))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| a2 != a2 ),
inference(resolve,[$cnf( $equal(multiply(a4,b4),multiply(a4,b4)) )],[refute_0_110,refute_0_109]) ).
cnf(refute_0_112,plain,
a2 = a2,
introduced(tautology,[refl,[$fot(a2)]]) ).
cnf(refute_0_113,plain,
( multiply(a1,inverse(a1)) != multiply(b1,inverse(b1))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(a2,a2) )],[refute_0_112,refute_0_111]) ).
cnf(refute_0_114,plain,
multiply(multiply(Y,inverse(Y)),multiply(X_1,inverse(multiply(X_1,inverse(Y))))) = Y,
inference(subst,[],[refute_0_46:[bind(X_2,$fot(inverse(Y)))]]) ).
cnf(refute_0_115,plain,
multiply(X_4,multiply(X_5,inverse(X_5))) = multiply(multiply(X_5,inverse(X_5)),X_4),
inference(subst,[],[refute_0_73:[bind(X,$fot(X_4)),bind(X_1,$fot(multiply(X_5,inverse(X_5))))]]) ).
cnf(refute_0_116,plain,
( multiply(X_4,multiply(X_5,inverse(X_5))) != X_4
| multiply(X_4,multiply(X_5,inverse(X_5))) != multiply(multiply(X_5,inverse(X_5)),X_4)
| multiply(multiply(X_5,inverse(X_5)),X_4) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_4,multiply(X_5,inverse(X_5))),X_4) ),[0],$fot(multiply(multiply(X_5,inverse(X_5)),X_4))]]) ).
cnf(refute_0_117,plain,
( multiply(X_4,multiply(X_5,inverse(X_5))) != X_4
| multiply(multiply(X_5,inverse(X_5)),X_4) = X_4 ),
inference(resolve,[$cnf( $equal(multiply(X_4,multiply(X_5,inverse(X_5))),multiply(multiply(X_5,inverse(X_5)),X_4)) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
multiply(multiply(X_5,inverse(X_5)),X_4) = X_4,
inference(resolve,[$cnf( $equal(multiply(X_4,multiply(X_5,inverse(X_5))),X_4) )],[refute_0_16,refute_0_117]) ).
cnf(refute_0_119,plain,
multiply(multiply(Y,inverse(Y)),multiply(X_1,inverse(multiply(X_1,inverse(Y))))) = multiply(X_1,inverse(multiply(X_1,inverse(Y)))),
inference(subst,[],[refute_0_118:[bind(X_4,$fot(multiply(X_1,inverse(multiply(X_1,inverse(Y)))))),bind(X_5,$fot(Y))]]) ).
cnf(refute_0_120,plain,
( multiply(multiply(Y,inverse(Y)),multiply(X_1,inverse(multiply(X_1,inverse(Y))))) != Y
| multiply(multiply(Y,inverse(Y)),multiply(X_1,inverse(multiply(X_1,inverse(Y))))) != multiply(X_1,inverse(multiply(X_1,inverse(Y))))
| multiply(X_1,inverse(multiply(X_1,inverse(Y)))) = Y ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(Y,inverse(Y)),multiply(X_1,inverse(multiply(X_1,inverse(Y))))),Y) ),[0],$fot(multiply(X_1,inverse(multiply(X_1,inverse(Y)))))]]) ).
cnf(refute_0_121,plain,
( multiply(multiply(Y,inverse(Y)),multiply(X_1,inverse(multiply(X_1,inverse(Y))))) != Y
| multiply(X_1,inverse(multiply(X_1,inverse(Y)))) = Y ),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,inverse(Y)),multiply(X_1,inverse(multiply(X_1,inverse(Y))))),multiply(X_1,inverse(multiply(X_1,inverse(Y))))) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
multiply(X_1,inverse(multiply(X_1,inverse(Y)))) = Y,
inference(resolve,[$cnf( $equal(multiply(multiply(Y,inverse(Y)),multiply(X_1,inverse(multiply(X_1,inverse(Y))))),Y) )],[refute_0_114,refute_0_121]) ).
cnf(refute_0_123,plain,
multiply(X_1,inverse(multiply(X_1,inverse(inverse(X_41))))) = inverse(X_41),
inference(subst,[],[refute_0_122:[bind(Y,$fot(inverse(X_41)))]]) ).
cnf(refute_0_124,plain,
multiply(multiply(X_5,inverse(X_5)),inverse(multiply(multiply(X_5,inverse(X_5)),inverse(X_39)))) = inverse(multiply(multiply(X_5,inverse(X_5)),inverse(X_39))),
inference(subst,[],[refute_0_118:[bind(X_4,$fot(inverse(multiply(multiply(X_5,inverse(X_5)),inverse(X_39)))))]]) ).
cnf(refute_0_125,plain,
multiply(multiply(X_5,inverse(X_5)),inverse(multiply(multiply(X_5,inverse(X_5)),inverse(X_39)))) = X_39,
inference(subst,[],[refute_0_122:[bind(Y,$fot(X_39)),bind(X_1,$fot(multiply(X_5,inverse(X_5))))]]) ).
cnf(refute_0_126,plain,
( multiply(multiply(X_5,inverse(X_5)),inverse(multiply(multiply(X_5,inverse(X_5)),inverse(X_39)))) != X_39
| multiply(multiply(X_5,inverse(X_5)),inverse(multiply(multiply(X_5,inverse(X_5)),inverse(X_39)))) != inverse(multiply(multiply(X_5,inverse(X_5)),inverse(X_39)))
| X_39 = inverse(multiply(multiply(X_5,inverse(X_5)),inverse(X_39))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_5,inverse(X_5)),inverse(multiply(multiply(X_5,inverse(X_5)),inverse(X_39)))),inverse(multiply(multiply(X_5,inverse(X_5)),inverse(X_39)))) ),[0],$fot(X_39)]]) ).
cnf(refute_0_127,plain,
( multiply(multiply(X_5,inverse(X_5)),inverse(multiply(multiply(X_5,inverse(X_5)),inverse(X_39)))) != inverse(multiply(multiply(X_5,inverse(X_5)),inverse(X_39)))
| X_39 = inverse(multiply(multiply(X_5,inverse(X_5)),inverse(X_39))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_5,inverse(X_5)),inverse(multiply(multiply(X_5,inverse(X_5)),inverse(X_39)))),X_39) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
X_39 = inverse(multiply(multiply(X_5,inverse(X_5)),inverse(X_39))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_5,inverse(X_5)),inverse(multiply(multiply(X_5,inverse(X_5)),inverse(X_39)))),inverse(multiply(multiply(X_5,inverse(X_5)),inverse(X_39)))) )],[refute_0_124,refute_0_127]) ).
cnf(refute_0_129,plain,
multiply(multiply(X_5,inverse(X_5)),inverse(X_39)) = inverse(X_39),
inference(subst,[],[refute_0_118:[bind(X_4,$fot(inverse(X_39)))]]) ).
cnf(refute_0_130,plain,
inverse(multiply(multiply(X_5,inverse(X_5)),inverse(X_39))) = inverse(multiply(multiply(X_5,inverse(X_5)),inverse(X_39))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_5,inverse(X_5)),inverse(X_39))))]]) ).
cnf(refute_0_131,plain,
( multiply(multiply(X_5,inverse(X_5)),inverse(X_39)) != inverse(X_39)
| inverse(multiply(multiply(X_5,inverse(X_5)),inverse(X_39))) != inverse(multiply(multiply(X_5,inverse(X_5)),inverse(X_39)))
| inverse(multiply(multiply(X_5,inverse(X_5)),inverse(X_39))) = inverse(inverse(X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_5,inverse(X_5)),inverse(X_39))),inverse(multiply(multiply(X_5,inverse(X_5)),inverse(X_39)))) ),[1,0],$fot(inverse(X_39))]]) ).
cnf(refute_0_132,plain,
( multiply(multiply(X_5,inverse(X_5)),inverse(X_39)) != inverse(X_39)
| inverse(multiply(multiply(X_5,inverse(X_5)),inverse(X_39))) = inverse(inverse(X_39)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_5,inverse(X_5)),inverse(X_39))),inverse(multiply(multiply(X_5,inverse(X_5)),inverse(X_39)))) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
inverse(multiply(multiply(X_5,inverse(X_5)),inverse(X_39))) = inverse(inverse(X_39)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_5,inverse(X_5)),inverse(X_39)),inverse(X_39)) )],[refute_0_129,refute_0_132]) ).
cnf(refute_0_134,plain,
( X_39 != inverse(multiply(multiply(X_5,inverse(X_5)),inverse(X_39)))
| inverse(multiply(multiply(X_5,inverse(X_5)),inverse(X_39))) != inverse(inverse(X_39))
| X_39 = inverse(inverse(X_39)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_39,inverse(inverse(X_39))) ),[0],$fot(inverse(multiply(multiply(X_5,inverse(X_5)),inverse(X_39))))]]) ).
cnf(refute_0_135,plain,
( X_39 != inverse(multiply(multiply(X_5,inverse(X_5)),inverse(X_39)))
| X_39 = inverse(inverse(X_39)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_5,inverse(X_5)),inverse(X_39))),inverse(inverse(X_39))) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
X_39 = inverse(inverse(X_39)),
inference(resolve,[$cnf( $equal(X_39,inverse(multiply(multiply(X_5,inverse(X_5)),inverse(X_39)))) )],[refute_0_128,refute_0_135]) ).
cnf(refute_0_137,plain,
X_41 = inverse(inverse(X_41)),
inference(subst,[],[refute_0_136:[bind(X_39,$fot(X_41))]]) ).
cnf(refute_0_138,plain,
( X_41 != inverse(inverse(X_41))
| inverse(inverse(X_41)) = X_41 ),
inference(subst,[],[refute_0_67:[bind(X0,$fot(X_41)),bind(Y0,$fot(inverse(inverse(X_41))))]]) ).
cnf(refute_0_139,plain,
inverse(inverse(X_41)) = X_41,
inference(resolve,[$cnf( $equal(X_41,inverse(inverse(X_41))) )],[refute_0_137,refute_0_138]) ).
cnf(refute_0_140,plain,
( multiply(X_1,inverse(multiply(X_1,inverse(inverse(X_41))))) != inverse(X_41)
| inverse(inverse(X_41)) != X_41
| multiply(X_1,inverse(multiply(X_1,X_41))) = inverse(X_41) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_1,inverse(multiply(X_1,inverse(inverse(X_41))))),inverse(X_41)) ),[0,1,0,1],$fot(X_41)]]) ).
cnf(refute_0_141,plain,
( multiply(X_1,inverse(multiply(X_1,inverse(inverse(X_41))))) != inverse(X_41)
| multiply(X_1,inverse(multiply(X_1,X_41))) = inverse(X_41) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_41)),X_41) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
multiply(X_1,inverse(multiply(X_1,X_41))) = inverse(X_41),
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(multiply(X_1,inverse(inverse(X_41))))),inverse(X_41)) )],[refute_0_123,refute_0_141]) ).
cnf(refute_0_143,plain,
multiply(X_1,inverse(multiply(X_1,multiply(X_94,inverse(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))))))) = inverse(multiply(X_94,inverse(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))))),
inference(subst,[],[refute_0_142:[bind(X_41,$fot(multiply(X_94,inverse(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))))))]]) ).
cnf(refute_0_144,plain,
multiply(X,multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(multiply(Y,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))))))))) = Y,
inference(subst,[],[refute_0_11:[bind(X_2,$fot(multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))))]]) ).
cnf(refute_0_145,plain,
multiply(Y,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))) = X_4,
inference(subst,[],[refute_0_11:[bind(X,$fot(Y)),bind(Y,$fot(X_4)),bind(X_1,$fot(X_5)),bind(X_2,$fot(X_6))]]) ).
cnf(refute_0_146,plain,
( multiply(X,multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(multiply(Y,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))))))))) != Y
| multiply(Y,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))) != X_4
| multiply(X,multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4)))))) = Y ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(multiply(Y,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))))))))),Y) ),[0,1,1,0,1,1,0],$fot(X_4)]]) ).
cnf(refute_0_147,plain,
( multiply(X,multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(multiply(Y,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))))))))) != Y
| multiply(X,multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4)))))) = Y ),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X_4) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
multiply(X,multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4)))))) = Y,
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(multiply(Y,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))))))))),Y) )],[refute_0_144,refute_0_147]) ).
cnf(refute_0_149,plain,
multiply(X_1,inverse(multiply(X_1,multiply(inverse(X_1),X_47)))) = inverse(multiply(inverse(X_1),X_47)),
inference(subst,[],[refute_0_142:[bind(X_41,$fot(multiply(inverse(X_1),X_47)))]]) ).
cnf(refute_0_150,plain,
multiply(Y,inverse(X)) = multiply(inverse(X),Y),
inference(subst,[],[refute_0_73:[bind(X,$fot(Y)),bind(X_1,$fot(inverse(X)))]]) ).
cnf(refute_0_151,plain,
( multiply(X,multiply(Y,inverse(X))) != Y
| multiply(Y,inverse(X)) != multiply(inverse(X),Y)
| multiply(X,multiply(inverse(X),Y)) = Y ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(Y,inverse(X))),Y) ),[0,1],$fot(multiply(inverse(X),Y))]]) ).
cnf(refute_0_152,plain,
( multiply(X,multiply(Y,inverse(X))) != Y
| multiply(X,multiply(inverse(X),Y)) = Y ),
inference(resolve,[$cnf( $equal(multiply(Y,inverse(X)),multiply(inverse(X),Y)) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
multiply(X,multiply(inverse(X),Y)) = Y,
inference(resolve,[$cnf( $equal(multiply(X,multiply(Y,inverse(X))),Y) )],[refute_0_36,refute_0_152]) ).
cnf(refute_0_154,plain,
multiply(X_1,multiply(inverse(X_1),X_47)) = X_47,
inference(subst,[],[refute_0_153:[bind(X,$fot(X_1)),bind(Y,$fot(X_47))]]) ).
cnf(refute_0_155,plain,
( multiply(X_1,multiply(inverse(X_1),X_47)) != X_47
| multiply(X_1,inverse(multiply(X_1,multiply(inverse(X_1),X_47)))) != inverse(multiply(inverse(X_1),X_47))
| multiply(X_1,inverse(X_47)) = inverse(multiply(inverse(X_1),X_47)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_1,inverse(multiply(X_1,multiply(inverse(X_1),X_47)))),inverse(multiply(inverse(X_1),X_47))) ),[0,1,0],$fot(X_47)]]) ).
cnf(refute_0_156,plain,
( multiply(X_1,inverse(multiply(X_1,multiply(inverse(X_1),X_47)))) != inverse(multiply(inverse(X_1),X_47))
| multiply(X_1,inverse(X_47)) = inverse(multiply(inverse(X_1),X_47)) ),
inference(resolve,[$cnf( $equal(multiply(X_1,multiply(inverse(X_1),X_47)),X_47) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
multiply(X_1,inverse(X_47)) = inverse(multiply(inverse(X_1),X_47)),
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(multiply(X_1,multiply(inverse(X_1),X_47)))),inverse(multiply(inverse(X_1),X_47))) )],[refute_0_149,refute_0_156]) ).
cnf(refute_0_158,plain,
multiply(X_1,inverse(multiply(X_77,inverse(X_78)))) = inverse(multiply(inverse(X_1),multiply(X_77,inverse(X_78)))),
inference(subst,[],[refute_0_157:[bind(X_47,$fot(multiply(X_77,inverse(X_78))))]]) ).
cnf(refute_0_159,plain,
multiply(X,multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_8,inverse(X_8))),inverse(multiply(Y,multiply(X_8,inverse(X_8))))))))) = Y,
inference(subst,[],[refute_0_11:[bind(X_2,$fot(multiply(X_8,inverse(X_8))))]]) ).
cnf(refute_0_160,plain,
multiply(X_1,multiply(X_8,inverse(X_8))) = X_1,
inference(subst,[],[refute_0_16:[bind(X_4,$fot(X_1)),bind(X_5,$fot(X_8))]]) ).
cnf(refute_0_161,plain,
( multiply(X,multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_8,inverse(X_8))),inverse(multiply(Y,multiply(X_8,inverse(X_8))))))))) != Y
| multiply(X_1,multiply(X_8,inverse(X_8))) != X_1
| multiply(X,multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))))))) = Y ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_8,inverse(X_8))),inverse(multiply(Y,multiply(X_8,inverse(X_8))))))))),Y) ),[0,1,1,0,1,0],$fot(X_1)]]) ).
cnf(refute_0_162,plain,
( multiply(X,multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_8,inverse(X_8))),inverse(multiply(Y,multiply(X_8,inverse(X_8))))))))) != Y
| multiply(X,multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))))))) = Y ),
inference(resolve,[$cnf( $equal(multiply(X_1,multiply(X_8,inverse(X_8))),X_1) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
multiply(X,multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))))))) = Y,
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_8,inverse(X_8))),inverse(multiply(Y,multiply(X_8,inverse(X_8))))))))),Y) )],[refute_0_159,refute_0_162]) ).
cnf(refute_0_164,plain,
inverse(multiply(Y,multiply(X_8,inverse(X_8)))) = inverse(multiply(Y,multiply(X_8,inverse(X_8)))),
introduced(tautology,[refl,[$fot(inverse(multiply(Y,multiply(X_8,inverse(X_8)))))]]) ).
cnf(refute_0_165,plain,
( multiply(Y,multiply(X_8,inverse(X_8))) != Y
| inverse(multiply(Y,multiply(X_8,inverse(X_8)))) != inverse(multiply(Y,multiply(X_8,inverse(X_8))))
| inverse(multiply(Y,multiply(X_8,inverse(X_8)))) = inverse(Y) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(Y,multiply(X_8,inverse(X_8)))),inverse(multiply(Y,multiply(X_8,inverse(X_8))))) ),[1,0],$fot(Y)]]) ).
cnf(refute_0_166,plain,
( multiply(Y,multiply(X_8,inverse(X_8))) != Y
| inverse(multiply(Y,multiply(X_8,inverse(X_8)))) = inverse(Y) ),
inference(resolve,[$cnf( $equal(inverse(multiply(Y,multiply(X_8,inverse(X_8)))),inverse(multiply(Y,multiply(X_8,inverse(X_8))))) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
inverse(multiply(Y,multiply(X_8,inverse(X_8)))) = inverse(Y),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(X_8,inverse(X_8))),Y) )],[refute_0_17,refute_0_166]) ).
cnf(refute_0_168,plain,
multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))) = multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))),
introduced(tautology,[refl,[$fot(multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))))]]) ).
cnf(refute_0_169,plain,
( multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))) != multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8)))))
| inverse(multiply(Y,multiply(X_8,inverse(X_8)))) != inverse(Y)
| multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))) = multiply(X_1,inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))),multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8)))))) ),[1,1],$fot(inverse(Y))]]) ).
cnf(refute_0_170,plain,
( inverse(multiply(Y,multiply(X_8,inverse(X_8)))) != inverse(Y)
| multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))) = multiply(X_1,inverse(Y)) ),
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))),multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8)))))) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))) = multiply(X_1,inverse(Y)),
inference(resolve,[$cnf( $equal(inverse(multiply(Y,multiply(X_8,inverse(X_8)))),inverse(Y)) )],[refute_0_167,refute_0_170]) ).
cnf(refute_0_172,plain,
multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8)))))) = multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8)))))),
introduced(tautology,[refl,[$fot(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8)))))))]]) ).
cnf(refute_0_173,plain,
( multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8)))))) != multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))))
| multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))) != multiply(X_1,inverse(Y))
| multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8)))))) = multiply(X,multiply(X_1,inverse(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8)))))),multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))))) ),[1,1],$fot(multiply(X_1,inverse(Y)))]]) ).
cnf(refute_0_174,plain,
( multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))) != multiply(X_1,inverse(Y))
| multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8)))))) = multiply(X,multiply(X_1,inverse(Y))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8)))))),multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))))) )],[refute_0_172,refute_0_173]) ).
cnf(refute_0_175,plain,
multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8)))))) = multiply(X,multiply(X_1,inverse(Y))),
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))),multiply(X_1,inverse(Y))) )],[refute_0_171,refute_0_174]) ).
cnf(refute_0_176,plain,
inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))))) = inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))))),
introduced(tautology,[refl,[$fot(inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))))))]]) ).
cnf(refute_0_177,plain,
( multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8)))))) != multiply(X,multiply(X_1,inverse(Y)))
| inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))))) != inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8)))))))
| inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))))) = inverse(multiply(X,multiply(X_1,inverse(Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))))),inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8)))))))) ),[1,0],$fot(multiply(X,multiply(X_1,inverse(Y))))]]) ).
cnf(refute_0_178,plain,
( multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8)))))) != multiply(X,multiply(X_1,inverse(Y)))
| inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))))) = inverse(multiply(X,multiply(X_1,inverse(Y)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))))),inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8)))))))) )],[refute_0_176,refute_0_177]) ).
cnf(refute_0_179,plain,
inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))))) = inverse(multiply(X,multiply(X_1,inverse(Y)))),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8)))))),multiply(X,multiply(X_1,inverse(Y)))) )],[refute_0_175,refute_0_178]) ).
cnf(refute_0_180,plain,
multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8)))))))) = multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8)))))))),
introduced(tautology,[refl,[$fot(multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8)))))))))]]) ).
cnf(refute_0_181,plain,
( multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8)))))))) != multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))))))
| inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))))) != inverse(multiply(X,multiply(X_1,inverse(Y))))
| multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8)))))))) = multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(Y))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8)))))))),multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))))))) ),[1,1],$fot(inverse(multiply(X,multiply(X_1,inverse(Y)))))]]) ).
cnf(refute_0_182,plain,
( inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))))) != inverse(multiply(X,multiply(X_1,inverse(Y))))
| multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8)))))))) = multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(Y))))) ),
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8)))))))),multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))))))) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8)))))))) = multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(Y))))),
inference(resolve,[$cnf( $equal(inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))))),inverse(multiply(X,multiply(X_1,inverse(Y))))) )],[refute_0_179,refute_0_182]) ).
cnf(refute_0_184,plain,
multiply(X,multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))))))) = multiply(X,multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))))))),
introduced(tautology,[refl,[$fot(multiply(X,multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))))))))]]) ).
cnf(refute_0_185,plain,
( multiply(X,multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))))))) != multiply(X,multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8)))))))))
| multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8)))))))) != multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(Y)))))
| multiply(X,multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))))))) = multiply(X,multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(Y)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))))))),multiply(X,multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8)))))))))) ),[1,1],$fot(multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(Y))))))]]) ).
cnf(refute_0_186,plain,
( multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8)))))))) != multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(Y)))))
| multiply(X,multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))))))) = multiply(X,multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(Y)))))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))))))),multiply(X,multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8)))))))))) )],[refute_0_184,refute_0_185]) ).
cnf(refute_0_187,plain,
multiply(X,multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))))))) = multiply(X,multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(Y)))))),
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8)))))))),multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(Y)))))) )],[refute_0_183,refute_0_186]) ).
cnf(refute_0_188,plain,
( multiply(X,multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))))))) != Y
| multiply(X,multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))))))) != multiply(X,multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(Y))))))
| multiply(X,multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(Y)))))) = Y ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))))))),Y) ),[0],$fot(multiply(X,multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(Y)))))))]]) ).
cnf(refute_0_189,plain,
( multiply(X,multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))))))) != Y
| multiply(X,multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(Y)))))) = Y ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))))))),multiply(X,multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(Y))))))) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
multiply(X,multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(Y)))))) = Y,
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_1,inverse(multiply(X,multiply(X_1,inverse(multiply(Y,multiply(X_8,inverse(X_8))))))))),Y) )],[refute_0_163,refute_0_189]) ).
cnf(refute_0_191,plain,
multiply(multiply(X_21,X_23),multiply(X_1,inverse(multiply(multiply(X_21,X_23),multiply(X_1,inverse(multiply(X_1,X_23))))))) = multiply(X_1,X_23),
inference(subst,[],[refute_0_190:[bind(X,$fot(multiply(X_21,X_23))),bind(Y,$fot(multiply(X_1,X_23)))]]) ).
cnf(refute_0_192,plain,
multiply(multiply(X_21,X_23),multiply(X_1,inverse(multiply(X_1,X_23)))) = X_21,
inference(subst,[],[refute_0_46:[bind(Y,$fot(X_21)),bind(X_2,$fot(X_23))]]) ).
cnf(refute_0_193,plain,
( multiply(multiply(X_21,X_23),multiply(X_1,inverse(multiply(X_1,X_23)))) != X_21
| multiply(multiply(X_21,X_23),multiply(X_1,inverse(multiply(multiply(X_21,X_23),multiply(X_1,inverse(multiply(X_1,X_23))))))) != multiply(X_1,X_23)
| multiply(multiply(X_21,X_23),multiply(X_1,inverse(X_21))) = multiply(X_1,X_23) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_21,X_23),multiply(X_1,inverse(multiply(multiply(X_21,X_23),multiply(X_1,inverse(multiply(X_1,X_23))))))),multiply(X_1,X_23)) ),[0,1,1,0],$fot(X_21)]]) ).
cnf(refute_0_194,plain,
( multiply(multiply(X_21,X_23),multiply(X_1,inverse(multiply(multiply(X_21,X_23),multiply(X_1,inverse(multiply(X_1,X_23))))))) != multiply(X_1,X_23)
| multiply(multiply(X_21,X_23),multiply(X_1,inverse(X_21))) = multiply(X_1,X_23) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_21,X_23),multiply(X_1,inverse(multiply(X_1,X_23)))),X_21) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
multiply(multiply(X_21,X_23),multiply(X_1,inverse(X_21))) = multiply(X_1,X_23),
inference(resolve,[$cnf( $equal(multiply(multiply(X_21,X_23),multiply(X_1,inverse(multiply(multiply(X_21,X_23),multiply(X_1,inverse(multiply(X_1,X_23))))))),multiply(X_1,X_23)) )],[refute_0_191,refute_0_194]) ).
cnf(refute_0_196,plain,
multiply(multiply(X_72,inverse(multiply(X_72,X_41))),multiply(X_71,inverse(X_72))) = multiply(X_71,inverse(multiply(X_72,X_41))),
inference(subst,[],[refute_0_195:[bind(X_1,$fot(X_71)),bind(X_21,$fot(X_72)),bind(X_23,$fot(inverse(multiply(X_72,X_41))))]]) ).
cnf(refute_0_197,plain,
multiply(X_72,inverse(multiply(X_72,X_41))) = inverse(X_41),
inference(subst,[],[refute_0_142:[bind(X_1,$fot(X_72))]]) ).
cnf(refute_0_198,plain,
( multiply(X_72,inverse(multiply(X_72,X_41))) != inverse(X_41)
| multiply(multiply(X_72,inverse(multiply(X_72,X_41))),multiply(X_71,inverse(X_72))) != multiply(X_71,inverse(multiply(X_72,X_41)))
| multiply(inverse(X_41),multiply(X_71,inverse(X_72))) = multiply(X_71,inverse(multiply(X_72,X_41))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_72,inverse(multiply(X_72,X_41))),multiply(X_71,inverse(X_72))),multiply(X_71,inverse(multiply(X_72,X_41)))) ),[0,0],$fot(inverse(X_41))]]) ).
cnf(refute_0_199,plain,
( multiply(multiply(X_72,inverse(multiply(X_72,X_41))),multiply(X_71,inverse(X_72))) != multiply(X_71,inverse(multiply(X_72,X_41)))
| multiply(inverse(X_41),multiply(X_71,inverse(X_72))) = multiply(X_71,inverse(multiply(X_72,X_41))) ),
inference(resolve,[$cnf( $equal(multiply(X_72,inverse(multiply(X_72,X_41))),inverse(X_41)) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
multiply(inverse(X_41),multiply(X_71,inverse(X_72))) = multiply(X_71,inverse(multiply(X_72,X_41))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_72,inverse(multiply(X_72,X_41))),multiply(X_71,inverse(X_72))),multiply(X_71,inverse(multiply(X_72,X_41)))) )],[refute_0_196,refute_0_199]) ).
cnf(refute_0_201,plain,
multiply(inverse(X_1),multiply(X_77,inverse(X_78))) = multiply(X_77,inverse(multiply(X_78,X_1))),
inference(subst,[],[refute_0_200:[bind(X_41,$fot(X_1)),bind(X_71,$fot(X_77)),bind(X_72,$fot(X_78))]]) ).
cnf(refute_0_202,plain,
( multiply(X_1,inverse(multiply(X_77,inverse(X_78)))) != inverse(multiply(inverse(X_1),multiply(X_77,inverse(X_78))))
| multiply(inverse(X_1),multiply(X_77,inverse(X_78))) != multiply(X_77,inverse(multiply(X_78,X_1)))
| multiply(X_1,inverse(multiply(X_77,inverse(X_78)))) = inverse(multiply(X_77,inverse(multiply(X_78,X_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_1,inverse(multiply(X_77,inverse(X_78)))),inverse(multiply(inverse(X_1),multiply(X_77,inverse(X_78))))) ),[1,0],$fot(multiply(X_77,inverse(multiply(X_78,X_1))))]]) ).
cnf(refute_0_203,plain,
( multiply(X_1,inverse(multiply(X_77,inverse(X_78)))) != inverse(multiply(inverse(X_1),multiply(X_77,inverse(X_78))))
| multiply(X_1,inverse(multiply(X_77,inverse(X_78)))) = inverse(multiply(X_77,inverse(multiply(X_78,X_1)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_1),multiply(X_77,inverse(X_78))),multiply(X_77,inverse(multiply(X_78,X_1)))) )],[refute_0_201,refute_0_202]) ).
cnf(refute_0_204,plain,
multiply(X_1,inverse(multiply(X_77,inverse(X_78)))) = inverse(multiply(X_77,inverse(multiply(X_78,X_1)))),
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(multiply(X_77,inverse(X_78)))),inverse(multiply(inverse(X_1),multiply(X_77,inverse(X_78))))) )],[refute_0_158,refute_0_203]) ).
cnf(refute_0_205,plain,
multiply(X_44,inverse(multiply(X_44,multiply(Y,inverse(X_44))))) = inverse(multiply(Y,inverse(X_44))),
inference(subst,[],[refute_0_142:[bind(X_1,$fot(X_44)),bind(X_41,$fot(multiply(Y,inverse(X_44))))]]) ).
cnf(refute_0_206,plain,
multiply(X_44,multiply(Y,inverse(X_44))) = Y,
inference(subst,[],[refute_0_36:[bind(X,$fot(X_44))]]) ).
cnf(refute_0_207,plain,
( multiply(X_44,multiply(Y,inverse(X_44))) != Y
| multiply(X_44,inverse(multiply(X_44,multiply(Y,inverse(X_44))))) != inverse(multiply(Y,inverse(X_44)))
| multiply(X_44,inverse(Y)) = inverse(multiply(Y,inverse(X_44))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_44,inverse(multiply(X_44,multiply(Y,inverse(X_44))))),inverse(multiply(Y,inverse(X_44)))) ),[0,1,0],$fot(Y)]]) ).
cnf(refute_0_208,plain,
( multiply(X_44,inverse(multiply(X_44,multiply(Y,inverse(X_44))))) != inverse(multiply(Y,inverse(X_44)))
| multiply(X_44,inverse(Y)) = inverse(multiply(Y,inverse(X_44))) ),
inference(resolve,[$cnf( $equal(multiply(X_44,multiply(Y,inverse(X_44))),Y) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
multiply(X_44,inverse(Y)) = inverse(multiply(Y,inverse(X_44))),
inference(resolve,[$cnf( $equal(multiply(X_44,inverse(multiply(X_44,multiply(Y,inverse(X_44))))),inverse(multiply(Y,inverse(X_44)))) )],[refute_0_205,refute_0_208]) ).
cnf(refute_0_210,plain,
( multiply(X_44,inverse(Y)) != inverse(multiply(Y,inverse(X_44)))
| inverse(multiply(Y,inverse(X_44))) = multiply(X_44,inverse(Y)) ),
inference(subst,[],[refute_0_67:[bind(X0,$fot(multiply(X_44,inverse(Y)))),bind(Y0,$fot(inverse(multiply(Y,inverse(X_44)))))]]) ).
cnf(refute_0_211,plain,
inverse(multiply(Y,inverse(X_44))) = multiply(X_44,inverse(Y)),
inference(resolve,[$cnf( $equal(multiply(X_44,inverse(Y)),inverse(multiply(Y,inverse(X_44)))) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
inverse(multiply(X_77,inverse(X_78))) = multiply(X_78,inverse(X_77)),
inference(subst,[],[refute_0_211:[bind(Y,$fot(X_77)),bind(X_44,$fot(X_78))]]) ).
cnf(refute_0_213,plain,
multiply(X_1,inverse(multiply(X_77,inverse(X_78)))) = multiply(X_1,inverse(multiply(X_77,inverse(X_78)))),
introduced(tautology,[refl,[$fot(multiply(X_1,inverse(multiply(X_77,inverse(X_78)))))]]) ).
cnf(refute_0_214,plain,
( multiply(X_1,inverse(multiply(X_77,inverse(X_78)))) != multiply(X_1,inverse(multiply(X_77,inverse(X_78))))
| inverse(multiply(X_77,inverse(X_78))) != multiply(X_78,inverse(X_77))
| multiply(X_1,inverse(multiply(X_77,inverse(X_78)))) = multiply(X_1,multiply(X_78,inverse(X_77))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_1,inverse(multiply(X_77,inverse(X_78)))),multiply(X_1,inverse(multiply(X_77,inverse(X_78))))) ),[1,1],$fot(multiply(X_78,inverse(X_77)))]]) ).
cnf(refute_0_215,plain,
( inverse(multiply(X_77,inverse(X_78))) != multiply(X_78,inverse(X_77))
| multiply(X_1,inverse(multiply(X_77,inverse(X_78)))) = multiply(X_1,multiply(X_78,inverse(X_77))) ),
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(multiply(X_77,inverse(X_78)))),multiply(X_1,inverse(multiply(X_77,inverse(X_78))))) )],[refute_0_213,refute_0_214]) ).
cnf(refute_0_216,plain,
multiply(X_1,inverse(multiply(X_77,inverse(X_78)))) = multiply(X_1,multiply(X_78,inverse(X_77))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_77,inverse(X_78))),multiply(X_78,inverse(X_77))) )],[refute_0_212,refute_0_215]) ).
cnf(refute_0_217,plain,
( multiply(X_1,inverse(multiply(X_77,inverse(X_78)))) != multiply(X_1,multiply(X_78,inverse(X_77)))
| multiply(X_1,inverse(multiply(X_77,inverse(X_78)))) != inverse(multiply(X_77,inverse(multiply(X_78,X_1))))
| multiply(X_1,multiply(X_78,inverse(X_77))) = inverse(multiply(X_77,inverse(multiply(X_78,X_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_1,inverse(multiply(X_77,inverse(X_78)))),inverse(multiply(X_77,inverse(multiply(X_78,X_1))))) ),[0],$fot(multiply(X_1,multiply(X_78,inverse(X_77))))]]) ).
cnf(refute_0_218,plain,
( multiply(X_1,inverse(multiply(X_77,inverse(X_78)))) != inverse(multiply(X_77,inverse(multiply(X_78,X_1))))
| multiply(X_1,multiply(X_78,inverse(X_77))) = inverse(multiply(X_77,inverse(multiply(X_78,X_1)))) ),
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(multiply(X_77,inverse(X_78)))),multiply(X_1,multiply(X_78,inverse(X_77)))) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
inverse(multiply(X_77,inverse(multiply(X_78,X_1)))) = multiply(multiply(X_78,X_1),inverse(X_77)),
inference(subst,[],[refute_0_211:[bind(Y,$fot(X_77)),bind(X_44,$fot(multiply(X_78,X_1)))]]) ).
cnf(refute_0_220,plain,
( multiply(X_1,multiply(X_78,inverse(X_77))) != inverse(multiply(X_77,inverse(multiply(X_78,X_1))))
| inverse(multiply(X_77,inverse(multiply(X_78,X_1)))) != multiply(multiply(X_78,X_1),inverse(X_77))
| multiply(X_1,multiply(X_78,inverse(X_77))) = multiply(multiply(X_78,X_1),inverse(X_77)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_1,multiply(X_78,inverse(X_77))),multiply(multiply(X_78,X_1),inverse(X_77))) ),[0],$fot(inverse(multiply(X_77,inverse(multiply(X_78,X_1)))))]]) ).
cnf(refute_0_221,plain,
( multiply(X_1,multiply(X_78,inverse(X_77))) != inverse(multiply(X_77,inverse(multiply(X_78,X_1))))
| multiply(X_1,multiply(X_78,inverse(X_77))) = multiply(multiply(X_78,X_1),inverse(X_77)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_77,inverse(multiply(X_78,X_1)))),multiply(multiply(X_78,X_1),inverse(X_77))) )],[refute_0_219,refute_0_220]) ).
cnf(refute_0_222,plain,
( multiply(X_1,inverse(multiply(X_77,inverse(X_78)))) != inverse(multiply(X_77,inverse(multiply(X_78,X_1))))
| multiply(X_1,multiply(X_78,inverse(X_77))) = multiply(multiply(X_78,X_1),inverse(X_77)) ),
inference(resolve,[$cnf( $equal(multiply(X_1,multiply(X_78,inverse(X_77))),inverse(multiply(X_77,inverse(multiply(X_78,X_1))))) )],[refute_0_218,refute_0_221]) ).
cnf(refute_0_223,plain,
multiply(X_1,multiply(X_78,inverse(X_77))) = multiply(multiply(X_78,X_1),inverse(X_77)),
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(multiply(X_77,inverse(X_78)))),inverse(multiply(X_77,inverse(multiply(X_78,X_1))))) )],[refute_0_204,refute_0_222]) ).
cnf(refute_0_224,plain,
( multiply(X_1,multiply(X_78,inverse(X_77))) != multiply(multiply(X_78,X_1),inverse(X_77))
| multiply(multiply(X_78,X_1),inverse(X_77)) = multiply(X_1,multiply(X_78,inverse(X_77))) ),
inference(subst,[],[refute_0_67:[bind(X0,$fot(multiply(X_1,multiply(X_78,inverse(X_77))))),bind(Y0,$fot(multiply(multiply(X_78,X_1),inverse(X_77))))]]) ).
cnf(refute_0_225,plain,
multiply(multiply(X_78,X_1),inverse(X_77)) = multiply(X_1,multiply(X_78,inverse(X_77))),
inference(resolve,[$cnf( $equal(multiply(X_1,multiply(X_78,inverse(X_77))),multiply(multiply(X_78,X_1),inverse(X_77))) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
multiply(multiply(X_4,X_6),inverse(multiply(multiply(X_5,X_6),Y))) = multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))),
inference(subst,[],[refute_0_225:[bind(X_1,$fot(X_6)),bind(X_77,$fot(multiply(multiply(X_5,X_6),Y))),bind(X_78,$fot(X_4))]]) ).
cnf(refute_0_227,plain,
multiply(multiply(X_77,inverse(X_78)),inverse(X_76)) = multiply(inverse(X_76),multiply(X_77,inverse(X_78))),
inference(subst,[],[refute_0_73:[bind(X,$fot(multiply(X_77,inverse(X_78)))),bind(X_1,$fot(inverse(X_76)))]]) ).
cnf(refute_0_228,plain,
multiply(inverse(X_76),multiply(X_77,inverse(X_78))) = multiply(X_77,inverse(multiply(X_78,X_76))),
inference(subst,[],[refute_0_200:[bind(X_41,$fot(X_76)),bind(X_71,$fot(X_77)),bind(X_72,$fot(X_78))]]) ).
cnf(refute_0_229,plain,
( multiply(multiply(X_77,inverse(X_78)),inverse(X_76)) != multiply(inverse(X_76),multiply(X_77,inverse(X_78)))
| multiply(inverse(X_76),multiply(X_77,inverse(X_78))) != multiply(X_77,inverse(multiply(X_78,X_76)))
| multiply(multiply(X_77,inverse(X_78)),inverse(X_76)) = multiply(X_77,inverse(multiply(X_78,X_76))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_77,inverse(X_78)),inverse(X_76)),multiply(X_77,inverse(multiply(X_78,X_76)))) ),[0],$fot(multiply(inverse(X_76),multiply(X_77,inverse(X_78))))]]) ).
cnf(refute_0_230,plain,
( multiply(multiply(X_77,inverse(X_78)),inverse(X_76)) != multiply(inverse(X_76),multiply(X_77,inverse(X_78)))
| multiply(multiply(X_77,inverse(X_78)),inverse(X_76)) = multiply(X_77,inverse(multiply(X_78,X_76))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_76),multiply(X_77,inverse(X_78))),multiply(X_77,inverse(multiply(X_78,X_76)))) )],[refute_0_228,refute_0_229]) ).
cnf(refute_0_231,plain,
multiply(multiply(X_77,inverse(X_78)),inverse(X_76)) = multiply(X_77,inverse(multiply(X_78,X_76))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_77,inverse(X_78)),inverse(X_76)),multiply(inverse(X_76),multiply(X_77,inverse(X_78)))) )],[refute_0_227,refute_0_230]) ).
cnf(refute_0_232,plain,
multiply(multiply(X_50,inverse(X_51)),inverse(Y)) = inverse(multiply(Y,inverse(multiply(X_50,inverse(X_51))))),
inference(subst,[],[refute_0_209:[bind(X_44,$fot(multiply(X_50,inverse(X_51))))]]) ).
cnf(refute_0_233,plain,
multiply(X_51,inverse(X_50)) = inverse(multiply(X_50,inverse(X_51))),
inference(subst,[],[refute_0_209:[bind(Y,$fot(X_50)),bind(X_44,$fot(X_51))]]) ).
cnf(refute_0_234,plain,
( multiply(X_51,inverse(X_50)) != inverse(multiply(X_50,inverse(X_51)))
| inverse(multiply(X_50,inverse(X_51))) = multiply(X_51,inverse(X_50)) ),
inference(subst,[],[refute_0_67:[bind(X0,$fot(multiply(X_51,inverse(X_50)))),bind(Y0,$fot(inverse(multiply(X_50,inverse(X_51)))))]]) ).
cnf(refute_0_235,plain,
inverse(multiply(X_50,inverse(X_51))) = multiply(X_51,inverse(X_50)),
inference(resolve,[$cnf( $equal(multiply(X_51,inverse(X_50)),inverse(multiply(X_50,inverse(X_51)))) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
( multiply(multiply(X_50,inverse(X_51)),inverse(Y)) != inverse(multiply(Y,inverse(multiply(X_50,inverse(X_51)))))
| inverse(multiply(X_50,inverse(X_51))) != multiply(X_51,inverse(X_50))
| multiply(multiply(X_50,inverse(X_51)),inverse(Y)) = inverse(multiply(Y,multiply(X_51,inverse(X_50)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_50,inverse(X_51)),inverse(Y)),inverse(multiply(Y,inverse(multiply(X_50,inverse(X_51)))))) ),[1,0,1],$fot(multiply(X_51,inverse(X_50)))]]) ).
cnf(refute_0_237,plain,
( multiply(multiply(X_50,inverse(X_51)),inverse(Y)) != inverse(multiply(Y,inverse(multiply(X_50,inverse(X_51)))))
| multiply(multiply(X_50,inverse(X_51)),inverse(Y)) = inverse(multiply(Y,multiply(X_51,inverse(X_50)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_50,inverse(X_51))),multiply(X_51,inverse(X_50))) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
multiply(multiply(X_50,inverse(X_51)),inverse(Y)) = inverse(multiply(Y,multiply(X_51,inverse(X_50)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_50,inverse(X_51)),inverse(Y)),inverse(multiply(Y,inverse(multiply(X_50,inverse(X_51)))))) )],[refute_0_232,refute_0_237]) ).
cnf(refute_0_239,plain,
multiply(multiply(X_77,inverse(X_78)),inverse(X_76)) = inverse(multiply(X_76,multiply(X_78,inverse(X_77)))),
inference(subst,[],[refute_0_238:[bind(Y,$fot(X_76)),bind(X_50,$fot(X_77)),bind(X_51,$fot(X_78))]]) ).
cnf(refute_0_240,plain,
( multiply(multiply(X_77,inverse(X_78)),inverse(X_76)) != multiply(X_77,inverse(multiply(X_78,X_76)))
| multiply(multiply(X_77,inverse(X_78)),inverse(X_76)) != inverse(multiply(X_76,multiply(X_78,inverse(X_77))))
| inverse(multiply(X_76,multiply(X_78,inverse(X_77)))) = multiply(X_77,inverse(multiply(X_78,X_76))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_77,inverse(X_78)),inverse(X_76)),multiply(X_77,inverse(multiply(X_78,X_76)))) ),[0],$fot(inverse(multiply(X_76,multiply(X_78,inverse(X_77)))))]]) ).
cnf(refute_0_241,plain,
( multiply(multiply(X_77,inverse(X_78)),inverse(X_76)) != multiply(X_77,inverse(multiply(X_78,X_76)))
| inverse(multiply(X_76,multiply(X_78,inverse(X_77)))) = multiply(X_77,inverse(multiply(X_78,X_76))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_77,inverse(X_78)),inverse(X_76)),inverse(multiply(X_76,multiply(X_78,inverse(X_77))))) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
inverse(multiply(X_76,multiply(X_78,inverse(X_77)))) = multiply(X_77,inverse(multiply(X_78,X_76))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_77,inverse(X_78)),inverse(X_76)),multiply(X_77,inverse(multiply(X_78,X_76)))) )],[refute_0_231,refute_0_241]) ).
cnf(refute_0_243,plain,
inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))) = multiply(multiply(X_4,X_6),inverse(multiply(multiply(X_5,X_6),Y))),
inference(subst,[],[refute_0_242:[bind(X_76,$fot(Y)),bind(X_77,$fot(multiply(X_4,X_6))),bind(X_78,$fot(multiply(X_5,X_6)))]]) ).
cnf(refute_0_244,plain,
( multiply(multiply(X_4,X_6),inverse(multiply(multiply(X_5,X_6),Y))) != multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y))))
| inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))) != multiply(multiply(X_4,X_6),inverse(multiply(multiply(X_5,X_6),Y)))
| inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))) = multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))) ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),bind(Y0,$fot(multiply(multiply(X_4,X_6),inverse(multiply(multiply(X_5,X_6),Y))))),bind(Z0,$fot(multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y))))))]]) ).
cnf(refute_0_245,plain,
( multiply(multiply(X_4,X_6),inverse(multiply(multiply(X_5,X_6),Y))) != multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y))))
| inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))) = multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))),multiply(multiply(X_4,X_6),inverse(multiply(multiply(X_5,X_6),Y)))) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))) = multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_4,X_6),inverse(multiply(multiply(X_5,X_6),Y))),multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y))))) )],[refute_0_226,refute_0_245]) ).
cnf(refute_0_247,plain,
multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6)))))) = multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6)))))),
introduced(tautology,[refl,[$fot(multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6)))))))]]) ).
cnf(refute_0_248,plain,
( multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6)))))) != multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))
| inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))) != multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y))))
| multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6)))))) = multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6)))))),multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))) ),[1,1],$fot(multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))]]) ).
cnf(refute_0_249,plain,
( inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))) != multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y))))
| multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6)))))) = multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y))))) ),
inference(resolve,[$cnf( $equal(multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6)))))),multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6)))))) = multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y))))),
inference(resolve,[$cnf( $equal(inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))),multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y))))) )],[refute_0_246,refute_0_249]) ).
cnf(refute_0_251,plain,
multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))) = multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),
introduced(tautology,[refl,[$fot(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))))]]) ).
cnf(refute_0_252,plain,
( multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))) != multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6)))))))
| multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6)))))) != multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))
| multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))) = multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6)))))))) ),[1,1],$fot(multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y))))))]]) ).
cnf(refute_0_253,plain,
( multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6)))))) != multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))
| multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))) = multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))) ),
inference(resolve,[$cnf( $equal(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6)))))))) )],[refute_0_251,refute_0_252]) ).
cnf(refute_0_254,plain,
multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))) = multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),
inference(resolve,[$cnf( $equal(multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6)))))),multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))) )],[refute_0_250,refute_0_253]) ).
cnf(refute_0_255,plain,
multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X) = multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X),
introduced(tautology,[refl,[$fot(multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X))]]) ).
cnf(refute_0_256,plain,
( multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))) != multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y))))))
| multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X) != multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X)
| multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X) = multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X),multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X)) ),[1,0],$fot(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))))]]) ).
cnf(refute_0_257,plain,
( multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))) != multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y))))))
| multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X) = multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X),multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X)) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X) = multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X),
inference(resolve,[$cnf( $equal(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y))))))) )],[refute_0_254,refute_0_257]) ).
cnf(refute_0_259,plain,
inverse(multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X)) = inverse(multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X)),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X)))]]) ).
cnf(refute_0_260,plain,
( multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X) != multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X)
| inverse(multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X)) != inverse(multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X))
| inverse(multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X)) = inverse(multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X)),inverse(multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X))) ),[1,0],$fot(multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X))]]) ).
cnf(refute_0_261,plain,
( multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X) != multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X)
| inverse(multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X)) = inverse(multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X)),inverse(multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X))) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
inverse(multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X)) = inverse(multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X),multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X)) )],[refute_0_258,refute_0_261]) ).
cnf(refute_0_263,plain,
multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X))) = multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X))),
introduced(tautology,[refl,[$fot(multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X))))]]) ).
cnf(refute_0_264,plain,
( multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X))) != multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X)))
| inverse(multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X)) != inverse(multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X))
| multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X))) = multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X))),multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X)))) ),[1,1],$fot(inverse(multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X)))]]) ).
cnf(refute_0_265,plain,
( inverse(multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X)) != inverse(multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X))
| multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X))) = multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X))) ),
inference(resolve,[$cnf( $equal(multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X))),multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X)))) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X))) = multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X)),inverse(multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X))) )],[refute_0_262,refute_0_265]) ).
cnf(refute_0_267,plain,
inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4)))) = multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X))),
inference(subst,[],[refute_0_242:[bind(X_76,$fot(X)),bind(X_77,$fot(X_4)),bind(X_78,$fot(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6)))))))))]]) ).
cnf(refute_0_268,plain,
( multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X))) != multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X)))
| inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4)))) != multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X)))
| inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4)))) = multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X))) ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4)))))),bind(Y0,$fot(multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X))))),bind(Z0,$fot(multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X)))))]]) ).
cnf(refute_0_269,plain,
( multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X))) != multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X)))
| inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4)))) = multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4)))),multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X)))) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4)))) = multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X))),
inference(resolve,[$cnf( $equal(multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),X))),multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X)))) )],[refute_0_266,refute_0_269]) ).
cnf(refute_0_271,plain,
multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4))))) = multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4))))),
introduced(tautology,[refl,[$fot(multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4))))))]]) ).
cnf(refute_0_272,plain,
( multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4))))) != multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4)))))
| inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4)))) != multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X)))
| multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4))))) = multiply(X_1,multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4))))),multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4)))))) ),[1,1],$fot(multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X))))]]) ).
cnf(refute_0_273,plain,
( inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4)))) != multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X)))
| multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4))))) = multiply(X_1,multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X)))) ),
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4))))),multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4)))))) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4))))) = multiply(X_1,multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4)))),multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X)))) )],[refute_0_270,refute_0_273]) ).
cnf(refute_0_275,plain,
multiply(X,multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4)))))) = multiply(X,multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4)))))),
introduced(tautology,[refl,[$fot(multiply(X,multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4)))))))]]) ).
cnf(refute_0_276,plain,
( multiply(X,multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4)))))) != multiply(X,multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4))))))
| multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4))))) != multiply(X_1,multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X))))
| multiply(X,multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4)))))) = multiply(X,multiply(X_1,multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4)))))),multiply(X,multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4))))))) ),[1,1],$fot(multiply(X_1,multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X)))))]]) ).
cnf(refute_0_277,plain,
( multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4))))) != multiply(X_1,multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X))))
| multiply(X,multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4)))))) = multiply(X,multiply(X_1,multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X))))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4)))))),multiply(X,multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4))))))) )],[refute_0_275,refute_0_276]) ).
cnf(refute_0_278,plain,
multiply(X,multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4)))))) = multiply(X,multiply(X_1,multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X))))),
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4))))),multiply(X_1,multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X))))) )],[refute_0_274,refute_0_277]) ).
cnf(refute_0_279,plain,
( multiply(X,multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4)))))) != Y
| multiply(X,multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4)))))) != multiply(X,multiply(X_1,multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X)))))
| multiply(X,multiply(X_1,multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X))))) = Y ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4)))))),Y) ),[0],$fot(multiply(X,multiply(X_1,multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X))))))]]) ).
cnf(refute_0_280,plain,
( multiply(X,multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4)))))) != Y
| multiply(X,multiply(X_1,multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X))))) = Y ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4)))))),multiply(X,multiply(X_1,multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X)))))) )],[refute_0_278,refute_0_279]) ).
cnf(refute_0_281,plain,
multiply(X,multiply(X_1,multiply(X_4,inverse(multiply(multiply(X_1,multiply(X_5,multiply(X_6,multiply(X_4,inverse(multiply(multiply(X_5,X_6),Y)))))),X))))) = Y,
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_1,inverse(multiply(X,multiply(multiply(X_1,multiply(X_5,inverse(multiply(Y,multiply(multiply(X_5,X_6),inverse(multiply(X_4,X_6))))))),inverse(X_4)))))),Y) )],[refute_0_148,refute_0_280]) ).
cnf(refute_0_282,plain,
multiply(X_82,multiply(X_84,multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,multiply(X_87,multiply(inverse(X_87),inverse(multiply(multiply(X_86,X_87),X_83)))))),X_82))))) = X_83,
inference(subst,[],[refute_0_281:[bind(X,$fot(X_82)),bind(Y,$fot(X_83)),bind(X_1,$fot(X_84)),bind(X_4,$fot(inverse(X_87))),bind(X_5,$fot(X_86)),bind(X_6,$fot(X_87))]]) ).
cnf(refute_0_283,plain,
multiply(X_87,multiply(inverse(X_87),inverse(multiply(multiply(X_86,X_87),X_83)))) = inverse(multiply(multiply(X_86,X_87),X_83)),
inference(subst,[],[refute_0_153:[bind(X,$fot(X_87)),bind(Y,$fot(inverse(multiply(multiply(X_86,X_87),X_83))))]]) ).
cnf(refute_0_284,plain,
( multiply(X_82,multiply(X_84,multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,multiply(X_87,multiply(inverse(X_87),inverse(multiply(multiply(X_86,X_87),X_83)))))),X_82))))) != X_83
| multiply(X_87,multiply(inverse(X_87),inverse(multiply(multiply(X_86,X_87),X_83)))) != inverse(multiply(multiply(X_86,X_87),X_83))
| multiply(X_82,multiply(X_84,multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))))) = X_83 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_82,multiply(X_84,multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,multiply(X_87,multiply(inverse(X_87),inverse(multiply(multiply(X_86,X_87),X_83)))))),X_82))))),X_83) ),[0,1,1,1,0,0,1,1],$fot(inverse(multiply(multiply(X_86,X_87),X_83)))]]) ).
cnf(refute_0_285,plain,
( multiply(X_82,multiply(X_84,multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,multiply(X_87,multiply(inverse(X_87),inverse(multiply(multiply(X_86,X_87),X_83)))))),X_82))))) != X_83
| multiply(X_82,multiply(X_84,multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))))) = X_83 ),
inference(resolve,[$cnf( $equal(multiply(X_87,multiply(inverse(X_87),inverse(multiply(multiply(X_86,X_87),X_83)))),inverse(multiply(multiply(X_86,X_87),X_83))) )],[refute_0_283,refute_0_284]) ).
cnf(refute_0_286,plain,
multiply(X_82,multiply(X_84,multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))))) = X_83,
inference(resolve,[$cnf( $equal(multiply(X_82,multiply(X_84,multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,multiply(X_87,multiply(inverse(X_87),inverse(multiply(multiply(X_86,X_87),X_83)))))),X_82))))),X_83) )],[refute_0_282,refute_0_285]) ).
cnf(refute_0_287,plain,
multiply(inverse(X_76),multiply(X_77,inverse(multiply(X_77,X_41)))) = multiply(X_77,inverse(multiply(multiply(X_77,X_41),X_76))),
inference(subst,[],[refute_0_200:[bind(X_41,$fot(X_76)),bind(X_71,$fot(X_77)),bind(X_72,$fot(multiply(X_77,X_41)))]]) ).
cnf(refute_0_288,plain,
multiply(X_77,inverse(multiply(X_77,X_41))) = inverse(X_41),
inference(subst,[],[refute_0_142:[bind(X_1,$fot(X_77))]]) ).
cnf(refute_0_289,plain,
( multiply(X_77,inverse(multiply(X_77,X_41))) != inverse(X_41)
| multiply(inverse(X_76),multiply(X_77,inverse(multiply(X_77,X_41)))) != multiply(X_77,inverse(multiply(multiply(X_77,X_41),X_76)))
| multiply(inverse(X_76),inverse(X_41)) = multiply(X_77,inverse(multiply(multiply(X_77,X_41),X_76))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_76),multiply(X_77,inverse(multiply(X_77,X_41)))),multiply(X_77,inverse(multiply(multiply(X_77,X_41),X_76)))) ),[0,1],$fot(inverse(X_41))]]) ).
cnf(refute_0_290,plain,
( multiply(inverse(X_76),multiply(X_77,inverse(multiply(X_77,X_41)))) != multiply(X_77,inverse(multiply(multiply(X_77,X_41),X_76)))
| multiply(inverse(X_76),inverse(X_41)) = multiply(X_77,inverse(multiply(multiply(X_77,X_41),X_76))) ),
inference(resolve,[$cnf( $equal(multiply(X_77,inverse(multiply(X_77,X_41))),inverse(X_41)) )],[refute_0_288,refute_0_289]) ).
cnf(refute_0_291,plain,
multiply(inverse(X_76),inverse(X_41)) = multiply(X_77,inverse(multiply(multiply(X_77,X_41),X_76))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_76),multiply(X_77,inverse(multiply(X_77,X_41)))),multiply(X_77,inverse(multiply(multiply(X_77,X_41),X_76)))) )],[refute_0_287,refute_0_290]) ).
cnf(refute_0_292,plain,
multiply(inverse(X_39),inverse(X_50)) = inverse(multiply(X_50,inverse(inverse(X_39)))),
inference(subst,[],[refute_0_209:[bind(Y,$fot(X_50)),bind(X_44,$fot(inverse(X_39)))]]) ).
cnf(refute_0_293,plain,
( X_39 != inverse(inverse(X_39))
| inverse(inverse(X_39)) = X_39 ),
inference(subst,[],[refute_0_67:[bind(X0,$fot(X_39)),bind(Y0,$fot(inverse(inverse(X_39))))]]) ).
cnf(refute_0_294,plain,
inverse(inverse(X_39)) = X_39,
inference(resolve,[$cnf( $equal(X_39,inverse(inverse(X_39))) )],[refute_0_136,refute_0_293]) ).
cnf(refute_0_295,plain,
( multiply(inverse(X_39),inverse(X_50)) != inverse(multiply(X_50,inverse(inverse(X_39))))
| inverse(inverse(X_39)) != X_39
| multiply(inverse(X_39),inverse(X_50)) = inverse(multiply(X_50,X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_39),inverse(X_50)),inverse(multiply(X_50,inverse(inverse(X_39))))) ),[1,0,1],$fot(X_39)]]) ).
cnf(refute_0_296,plain,
( multiply(inverse(X_39),inverse(X_50)) != inverse(multiply(X_50,inverse(inverse(X_39))))
| multiply(inverse(X_39),inverse(X_50)) = inverse(multiply(X_50,X_39)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_39)),X_39) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
multiply(inverse(X_39),inverse(X_50)) = inverse(multiply(X_50,X_39)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_39),inverse(X_50)),inverse(multiply(X_50,inverse(inverse(X_39))))) )],[refute_0_292,refute_0_296]) ).
cnf(refute_0_298,plain,
multiply(inverse(X_76),inverse(X_41)) = inverse(multiply(X_41,X_76)),
inference(subst,[],[refute_0_297:[bind(X_39,$fot(X_76)),bind(X_50,$fot(X_41))]]) ).
cnf(refute_0_299,plain,
( multiply(inverse(X_76),inverse(X_41)) != multiply(X_77,inverse(multiply(multiply(X_77,X_41),X_76)))
| multiply(inverse(X_76),inverse(X_41)) != inverse(multiply(X_41,X_76))
| inverse(multiply(X_41,X_76)) = multiply(X_77,inverse(multiply(multiply(X_77,X_41),X_76))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_76),inverse(X_41)),multiply(X_77,inverse(multiply(multiply(X_77,X_41),X_76)))) ),[0],$fot(inverse(multiply(X_41,X_76)))]]) ).
cnf(refute_0_300,plain,
( multiply(inverse(X_76),inverse(X_41)) != multiply(X_77,inverse(multiply(multiply(X_77,X_41),X_76)))
| inverse(multiply(X_41,X_76)) = multiply(X_77,inverse(multiply(multiply(X_77,X_41),X_76))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_76),inverse(X_41)),inverse(multiply(X_41,X_76))) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
inverse(multiply(X_41,X_76)) = multiply(X_77,inverse(multiply(multiply(X_77,X_41),X_76))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_76),inverse(X_41)),multiply(X_77,inverse(multiply(multiply(X_77,X_41),X_76)))) )],[refute_0_291,refute_0_300]) ).
cnf(refute_0_302,plain,
( inverse(multiply(X_41,X_76)) != multiply(X_77,inverse(multiply(multiply(X_77,X_41),X_76)))
| multiply(X_77,inverse(multiply(multiply(X_77,X_41),X_76))) = inverse(multiply(X_41,X_76)) ),
inference(subst,[],[refute_0_67:[bind(X0,$fot(inverse(multiply(X_41,X_76)))),bind(Y0,$fot(multiply(X_77,inverse(multiply(multiply(X_77,X_41),X_76)))))]]) ).
cnf(refute_0_303,plain,
multiply(X_77,inverse(multiply(multiply(X_77,X_41),X_76))) = inverse(multiply(X_41,X_76)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_41,X_76)),multiply(X_77,inverse(multiply(multiply(X_77,X_41),X_76)))) )],[refute_0_301,refute_0_302]) ).
cnf(refute_0_304,plain,
multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83))) = inverse(multiply(X_87,X_83)),
inference(subst,[],[refute_0_303:[bind(X_41,$fot(X_87)),bind(X_76,$fot(X_83)),bind(X_77,$fot(X_86))]]) ).
cnf(refute_0_305,plain,
multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))) = multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),
introduced(tautology,[refl,[$fot(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))))]]) ).
cnf(refute_0_306,plain,
( multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))) != multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83))))
| multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83))) != inverse(multiply(X_87,X_83))
| multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))) = multiply(X_84,inverse(multiply(X_87,X_83))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83))))) ),[1,1],$fot(inverse(multiply(X_87,X_83)))]]) ).
cnf(refute_0_307,plain,
( multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83))) != inverse(multiply(X_87,X_83))
| multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))) = multiply(X_84,inverse(multiply(X_87,X_83))) ),
inference(resolve,[$cnf( $equal(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83))))) )],[refute_0_305,refute_0_306]) ).
cnf(refute_0_308,plain,
multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))) = multiply(X_84,inverse(multiply(X_87,X_83))),
inference(resolve,[$cnf( $equal(multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83))),inverse(multiply(X_87,X_83))) )],[refute_0_304,refute_0_307]) ).
cnf(refute_0_309,plain,
multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82) = multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82),
introduced(tautology,[refl,[$fot(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))]]) ).
cnf(refute_0_310,plain,
( multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))) != multiply(X_84,inverse(multiply(X_87,X_83)))
| multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82) != multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82)
| multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82) = multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82),multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82)) ),[1,0],$fot(multiply(X_84,inverse(multiply(X_87,X_83))))]]) ).
cnf(refute_0_311,plain,
( multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))) != multiply(X_84,inverse(multiply(X_87,X_83)))
| multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82) = multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82),multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82)) )],[refute_0_309,refute_0_310]) ).
cnf(refute_0_312,plain,
multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82) = multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82),
inference(resolve,[$cnf( $equal(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),multiply(X_84,inverse(multiply(X_87,X_83)))) )],[refute_0_308,refute_0_311]) ).
cnf(refute_0_313,plain,
multiply(X_87,multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82)) = multiply(X_87,multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82)),
introduced(tautology,[refl,[$fot(multiply(X_87,multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82)))]]) ).
cnf(refute_0_314,plain,
( multiply(X_87,multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82)) != multiply(X_87,multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))
| multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82) != multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82)
| multiply(X_87,multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82)) = multiply(X_87,multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_87,multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82)),multiply(X_87,multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))) ),[1,1],$fot(multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82))]]) ).
cnf(refute_0_315,plain,
( multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82) != multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82)
| multiply(X_87,multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82)) = multiply(X_87,multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82)) ),
inference(resolve,[$cnf( $equal(multiply(X_87,multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82)),multiply(X_87,multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
multiply(X_87,multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82)) = multiply(X_87,multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82),multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82)) )],[refute_0_312,refute_0_315]) ).
cnf(refute_0_317,plain,
inverse(multiply(X_87,multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))) = inverse(multiply(X_87,multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_87,multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))))]]) ).
cnf(refute_0_318,plain,
( multiply(X_87,multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82)) != multiply(X_87,multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82))
| inverse(multiply(X_87,multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))) != inverse(multiply(X_87,multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82)))
| inverse(multiply(X_87,multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))) = inverse(multiply(X_87,multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_87,multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))),inverse(multiply(X_87,multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82)))) ),[1,0],$fot(multiply(X_87,multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82)))]]) ).
cnf(refute_0_319,plain,
( multiply(X_87,multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82)) != multiply(X_87,multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82))
| inverse(multiply(X_87,multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))) = inverse(multiply(X_87,multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_87,multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))),inverse(multiply(X_87,multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82)))) )],[refute_0_317,refute_0_318]) ).
cnf(refute_0_320,plain,
inverse(multiply(X_87,multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))) = inverse(multiply(X_87,multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82))),
inference(resolve,[$cnf( $equal(multiply(X_87,multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82)),multiply(X_87,multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82))) )],[refute_0_316,refute_0_319]) ).
cnf(refute_0_321,plain,
multiply(X_82,multiply(X_84,multiply(X_85,inverse(multiply(multiply(X_84,multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),inverse(multiply(multiply(X_86,X_87),X_41)))))))),X_82))))) = inverse(multiply(multiply(X_86,X_87),X_41)),
inference(subst,[],[refute_0_281:[bind(X,$fot(X_82)),bind(Y,$fot(inverse(multiply(multiply(X_86,X_87),X_41)))),bind(X_1,$fot(X_84)),bind(X_4,$fot(X_85)),bind(X_5,$fot(X_86)),bind(X_6,$fot(X_87))]]) ).
cnf(refute_0_322,plain,
multiply(multiply(X_86,X_87),inverse(multiply(multiply(X_86,X_87),X_41))) = inverse(X_41),
inference(subst,[],[refute_0_142:[bind(X_1,$fot(multiply(X_86,X_87)))]]) ).
cnf(refute_0_323,plain,
( multiply(X_82,multiply(X_84,multiply(X_85,inverse(multiply(multiply(X_84,multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),inverse(multiply(multiply(X_86,X_87),X_41)))))))),X_82))))) != inverse(multiply(multiply(X_86,X_87),X_41))
| multiply(multiply(X_86,X_87),inverse(multiply(multiply(X_86,X_87),X_41))) != inverse(X_41)
| multiply(X_82,multiply(X_84,multiply(X_85,inverse(multiply(multiply(X_84,multiply(X_86,multiply(X_87,multiply(X_85,inverse(inverse(X_41)))))),X_82))))) = inverse(multiply(multiply(X_86,X_87),X_41)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_82,multiply(X_84,multiply(X_85,inverse(multiply(multiply(X_84,multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),inverse(multiply(multiply(X_86,X_87),X_41)))))))),X_82))))),inverse(multiply(multiply(X_86,X_87),X_41))) ),[0,1,1,1,0,0,1,1,1,1,0],$fot(inverse(X_41))]]) ).
cnf(refute_0_324,plain,
( multiply(X_82,multiply(X_84,multiply(X_85,inverse(multiply(multiply(X_84,multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),inverse(multiply(multiply(X_86,X_87),X_41)))))))),X_82))))) != inverse(multiply(multiply(X_86,X_87),X_41))
| multiply(X_82,multiply(X_84,multiply(X_85,inverse(multiply(multiply(X_84,multiply(X_86,multiply(X_87,multiply(X_85,inverse(inverse(X_41)))))),X_82))))) = inverse(multiply(multiply(X_86,X_87),X_41)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_86,X_87),inverse(multiply(multiply(X_86,X_87),X_41))),inverse(X_41)) )],[refute_0_322,refute_0_323]) ).
cnf(refute_0_325,plain,
multiply(X_82,multiply(X_84,multiply(X_85,inverse(multiply(multiply(X_84,multiply(X_86,multiply(X_87,multiply(X_85,inverse(inverse(X_41)))))),X_82))))) = inverse(multiply(multiply(X_86,X_87),X_41)),
inference(resolve,[$cnf( $equal(multiply(X_82,multiply(X_84,multiply(X_85,inverse(multiply(multiply(X_84,multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),inverse(multiply(multiply(X_86,X_87),X_41)))))))),X_82))))),inverse(multiply(multiply(X_86,X_87),X_41))) )],[refute_0_321,refute_0_324]) ).
cnf(refute_0_326,plain,
multiply(inverse(multiply(X_86,X_87)),inverse(X_41)) = inverse(multiply(X_41,multiply(X_86,X_87))),
inference(subst,[],[refute_0_297:[bind(X_39,$fot(multiply(X_86,X_87))),bind(X_50,$fot(X_41))]]) ).
cnf(refute_0_327,plain,
multiply(X_82,multiply(X_84,multiply(X_85,inverse(multiply(multiply(X_84,multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),multiply(inverse(multiply(X_86,X_87)),Y))))))),X_82))))) = multiply(inverse(multiply(X_86,X_87)),Y),
inference(subst,[],[refute_0_281:[bind(X,$fot(X_82)),bind(Y,$fot(multiply(inverse(multiply(X_86,X_87)),Y))),bind(X_1,$fot(X_84)),bind(X_4,$fot(X_85)),bind(X_5,$fot(X_86)),bind(X_6,$fot(X_87))]]) ).
cnf(refute_0_328,plain,
multiply(multiply(X_86,X_87),multiply(inverse(multiply(X_86,X_87)),Y)) = Y,
inference(subst,[],[refute_0_153:[bind(X,$fot(multiply(X_86,X_87)))]]) ).
cnf(refute_0_329,plain,
( multiply(X_82,multiply(X_84,multiply(X_85,inverse(multiply(multiply(X_84,multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),multiply(inverse(multiply(X_86,X_87)),Y))))))),X_82))))) != multiply(inverse(multiply(X_86,X_87)),Y)
| multiply(multiply(X_86,X_87),multiply(inverse(multiply(X_86,X_87)),Y)) != Y
| multiply(X_82,multiply(X_84,multiply(X_85,inverse(multiply(multiply(X_84,multiply(X_86,multiply(X_87,multiply(X_85,inverse(Y))))),X_82))))) = multiply(inverse(multiply(X_86,X_87)),Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_82,multiply(X_84,multiply(X_85,inverse(multiply(multiply(X_84,multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),multiply(inverse(multiply(X_86,X_87)),Y))))))),X_82))))),multiply(inverse(multiply(X_86,X_87)),Y)) ),[0,1,1,1,0,0,1,1,1,1,0],$fot(Y)]]) ).
cnf(refute_0_330,plain,
( multiply(X_82,multiply(X_84,multiply(X_85,inverse(multiply(multiply(X_84,multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),multiply(inverse(multiply(X_86,X_87)),Y))))))),X_82))))) != multiply(inverse(multiply(X_86,X_87)),Y)
| multiply(X_82,multiply(X_84,multiply(X_85,inverse(multiply(multiply(X_84,multiply(X_86,multiply(X_87,multiply(X_85,inverse(Y))))),X_82))))) = multiply(inverse(multiply(X_86,X_87)),Y) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_86,X_87),multiply(inverse(multiply(X_86,X_87)),Y)),Y) )],[refute_0_328,refute_0_329]) ).
cnf(refute_0_331,plain,
multiply(X_82,multiply(X_84,multiply(X_85,inverse(multiply(multiply(X_84,multiply(X_86,multiply(X_87,multiply(X_85,inverse(Y))))),X_82))))) = multiply(inverse(multiply(X_86,X_87)),Y),
inference(resolve,[$cnf( $equal(multiply(X_82,multiply(X_84,multiply(X_85,inverse(multiply(multiply(X_84,multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),multiply(inverse(multiply(X_86,X_87)),Y))))))),X_82))))),multiply(inverse(multiply(X_86,X_87)),Y)) )],[refute_0_327,refute_0_330]) ).
cnf(refute_0_332,plain,
multiply(X_82,multiply(X_84,multiply(X_85,inverse(multiply(multiply(X_84,multiply(X_86,multiply(X_87,multiply(X_85,inverse(inverse(X_41)))))),X_82))))) = multiply(inverse(multiply(X_86,X_87)),inverse(X_41)),
inference(subst,[],[refute_0_331:[bind(Y,$fot(inverse(X_41)))]]) ).
cnf(refute_0_333,plain,
( multiply(X_82,multiply(X_84,multiply(X_85,inverse(multiply(multiply(X_84,multiply(X_86,multiply(X_87,multiply(X_85,inverse(inverse(X_41)))))),X_82))))) != multiply(inverse(multiply(X_86,X_87)),inverse(X_41))
| multiply(inverse(multiply(X_86,X_87)),inverse(X_41)) != inverse(multiply(X_41,multiply(X_86,X_87)))
| multiply(X_82,multiply(X_84,multiply(X_85,inverse(multiply(multiply(X_84,multiply(X_86,multiply(X_87,multiply(X_85,inverse(inverse(X_41)))))),X_82))))) = inverse(multiply(X_41,multiply(X_86,X_87))) ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(X_82,multiply(X_84,multiply(X_85,inverse(multiply(multiply(X_84,multiply(X_86,multiply(X_87,multiply(X_85,inverse(inverse(X_41)))))),X_82))))))),bind(Y0,$fot(multiply(inverse(multiply(X_86,X_87)),inverse(X_41)))),bind(Z0,$fot(inverse(multiply(X_41,multiply(X_86,X_87)))))]]) ).
cnf(refute_0_334,plain,
( multiply(inverse(multiply(X_86,X_87)),inverse(X_41)) != inverse(multiply(X_41,multiply(X_86,X_87)))
| multiply(X_82,multiply(X_84,multiply(X_85,inverse(multiply(multiply(X_84,multiply(X_86,multiply(X_87,multiply(X_85,inverse(inverse(X_41)))))),X_82))))) = inverse(multiply(X_41,multiply(X_86,X_87))) ),
inference(resolve,[$cnf( $equal(multiply(X_82,multiply(X_84,multiply(X_85,inverse(multiply(multiply(X_84,multiply(X_86,multiply(X_87,multiply(X_85,inverse(inverse(X_41)))))),X_82))))),multiply(inverse(multiply(X_86,X_87)),inverse(X_41))) )],[refute_0_332,refute_0_333]) ).
cnf(refute_0_335,plain,
multiply(X_82,multiply(X_84,multiply(X_85,inverse(multiply(multiply(X_84,multiply(X_86,multiply(X_87,multiply(X_85,inverse(inverse(X_41)))))),X_82))))) = inverse(multiply(X_41,multiply(X_86,X_87))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_86,X_87)),inverse(X_41)),inverse(multiply(X_41,multiply(X_86,X_87)))) )],[refute_0_326,refute_0_334]) ).
cnf(refute_0_336,plain,
( multiply(X_82,multiply(X_84,multiply(X_85,inverse(multiply(multiply(X_84,multiply(X_86,multiply(X_87,multiply(X_85,inverse(inverse(X_41)))))),X_82))))) != inverse(multiply(X_41,multiply(X_86,X_87)))
| multiply(X_82,multiply(X_84,multiply(X_85,inverse(multiply(multiply(X_84,multiply(X_86,multiply(X_87,multiply(X_85,inverse(inverse(X_41)))))),X_82))))) != inverse(multiply(multiply(X_86,X_87),X_41))
| inverse(multiply(X_41,multiply(X_86,X_87))) = inverse(multiply(multiply(X_86,X_87),X_41)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_82,multiply(X_84,multiply(X_85,inverse(multiply(multiply(X_84,multiply(X_86,multiply(X_87,multiply(X_85,inverse(inverse(X_41)))))),X_82))))),inverse(multiply(multiply(X_86,X_87),X_41))) ),[0],$fot(inverse(multiply(X_41,multiply(X_86,X_87))))]]) ).
cnf(refute_0_337,plain,
( multiply(X_82,multiply(X_84,multiply(X_85,inverse(multiply(multiply(X_84,multiply(X_86,multiply(X_87,multiply(X_85,inverse(inverse(X_41)))))),X_82))))) != inverse(multiply(multiply(X_86,X_87),X_41))
| inverse(multiply(X_41,multiply(X_86,X_87))) = inverse(multiply(multiply(X_86,X_87),X_41)) ),
inference(resolve,[$cnf( $equal(multiply(X_82,multiply(X_84,multiply(X_85,inverse(multiply(multiply(X_84,multiply(X_86,multiply(X_87,multiply(X_85,inverse(inverse(X_41)))))),X_82))))),inverse(multiply(X_41,multiply(X_86,X_87)))) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
inverse(multiply(X_41,multiply(X_86,X_87))) = inverse(multiply(multiply(X_86,X_87),X_41)),
inference(resolve,[$cnf( $equal(multiply(X_82,multiply(X_84,multiply(X_85,inverse(multiply(multiply(X_84,multiply(X_86,multiply(X_87,multiply(X_85,inverse(inverse(X_41)))))),X_82))))),inverse(multiply(multiply(X_86,X_87),X_41))) )],[refute_0_325,refute_0_337]) ).
cnf(refute_0_339,plain,
( inverse(multiply(X_41,multiply(X_86,X_87))) != inverse(multiply(multiply(X_86,X_87),X_41))
| inverse(multiply(multiply(X_86,X_87),X_41)) = inverse(multiply(X_41,multiply(X_86,X_87))) ),
inference(subst,[],[refute_0_67:[bind(X0,$fot(inverse(multiply(X_41,multiply(X_86,X_87))))),bind(Y0,$fot(inverse(multiply(multiply(X_86,X_87),X_41))))]]) ).
cnf(refute_0_340,plain,
inverse(multiply(multiply(X_86,X_87),X_41)) = inverse(multiply(X_41,multiply(X_86,X_87))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_41,multiply(X_86,X_87))),inverse(multiply(multiply(X_86,X_87),X_41))) )],[refute_0_338,refute_0_339]) ).
cnf(refute_0_341,plain,
inverse(multiply(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82),X_87)) = inverse(multiply(X_87,multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))),
inference(subst,[],[refute_0_340:[bind(X_41,$fot(X_87)),bind(X_86,$fot(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))))),bind(X_87,$fot(X_82))]]) ).
cnf(refute_0_342,plain,
multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))) = inverse(multiply(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82),X_87)),
inference(subst,[],[refute_0_297:[bind(X_39,$fot(X_87)),bind(X_50,$fot(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82)))]]) ).
cnf(refute_0_343,plain,
( multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))) != inverse(multiply(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82),X_87))
| inverse(multiply(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82),X_87)) != inverse(multiply(X_87,multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82)))
| multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))) = inverse(multiply(X_87,multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))) ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))))),bind(Y0,$fot(inverse(multiply(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82),X_87)))),bind(Z0,$fot(inverse(multiply(X_87,multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82)))))]]) ).
cnf(refute_0_344,plain,
( inverse(multiply(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82),X_87)) != inverse(multiply(X_87,multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82)))
| multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))) = inverse(multiply(X_87,multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))),inverse(multiply(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82),X_87))) )],[refute_0_342,refute_0_343]) ).
cnf(refute_0_345,plain,
multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))) = inverse(multiply(X_87,multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82),X_87)),inverse(multiply(X_87,multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82)))) )],[refute_0_341,refute_0_344]) ).
cnf(refute_0_346,plain,
( multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))) != inverse(multiply(X_87,multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82)))
| inverse(multiply(X_87,multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))) != inverse(multiply(X_87,multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82)))
| multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))) = inverse(multiply(X_87,multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82))) ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))))),bind(Y0,$fot(inverse(multiply(X_87,multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))))),bind(Z0,$fot(inverse(multiply(X_87,multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82)))))]]) ).
cnf(refute_0_347,plain,
( inverse(multiply(X_87,multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))) != inverse(multiply(X_87,multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82)))
| multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))) = inverse(multiply(X_87,multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))),inverse(multiply(X_87,multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82)))) )],[refute_0_345,refute_0_346]) ).
cnf(refute_0_348,plain,
multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))) = inverse(multiply(X_87,multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_87,multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))),inverse(multiply(X_87,multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82)))) )],[refute_0_320,refute_0_347]) ).
cnf(refute_0_349,plain,
multiply(X_84,multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82)))) = multiply(X_84,multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82)))),
introduced(tautology,[refl,[$fot(multiply(X_84,multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82)))))]]) ).
cnf(refute_0_350,plain,
( multiply(X_84,multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82)))) != multiply(X_84,multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))))
| multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))) != inverse(multiply(X_87,multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82)))
| multiply(X_84,multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82)))) = multiply(X_84,inverse(multiply(X_87,multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_84,multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82)))),multiply(X_84,multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))))) ),[1,1],$fot(inverse(multiply(X_87,multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82))))]]) ).
cnf(refute_0_351,plain,
( multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))) != inverse(multiply(X_87,multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82)))
| multiply(X_84,multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82)))) = multiply(X_84,inverse(multiply(X_87,multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82)))) ),
inference(resolve,[$cnf( $equal(multiply(X_84,multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82)))),multiply(X_84,multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))))) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
multiply(X_84,multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82)))) = multiply(X_84,inverse(multiply(X_87,multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82)))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))),inverse(multiply(X_87,multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82)))) )],[refute_0_348,refute_0_351]) ).
cnf(refute_0_353,plain,
multiply(X_82,multiply(X_84,multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))))) = multiply(X_82,multiply(X_84,multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))))),
introduced(tautology,[refl,[$fot(multiply(X_82,multiply(X_84,multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))))))]]) ).
cnf(refute_0_354,plain,
( multiply(X_82,multiply(X_84,multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))))) != multiply(X_82,multiply(X_84,multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82)))))
| multiply(X_84,multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82)))) != multiply(X_84,inverse(multiply(X_87,multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82))))
| multiply(X_82,multiply(X_84,multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))))) = multiply(X_82,multiply(X_84,inverse(multiply(X_87,multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_82,multiply(X_84,multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))))),multiply(X_82,multiply(X_84,multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82)))))) ),[1,1],$fot(multiply(X_84,inverse(multiply(X_87,multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82)))))]]) ).
cnf(refute_0_355,plain,
( multiply(X_84,multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82)))) != multiply(X_84,inverse(multiply(X_87,multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82))))
| multiply(X_82,multiply(X_84,multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))))) = multiply(X_82,multiply(X_84,inverse(multiply(X_87,multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82))))) ),
inference(resolve,[$cnf( $equal(multiply(X_82,multiply(X_84,multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))))),multiply(X_82,multiply(X_84,multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82)))))) )],[refute_0_353,refute_0_354]) ).
cnf(refute_0_356,plain,
multiply(X_82,multiply(X_84,multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))))) = multiply(X_82,multiply(X_84,inverse(multiply(X_87,multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82))))),
inference(resolve,[$cnf( $equal(multiply(X_84,multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82)))),multiply(X_84,inverse(multiply(X_87,multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82))))) )],[refute_0_352,refute_0_355]) ).
cnf(refute_0_357,plain,
( multiply(X_82,multiply(X_84,multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))))) != X_83
| multiply(X_82,multiply(X_84,multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))))) != multiply(X_82,multiply(X_84,inverse(multiply(X_87,multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82)))))
| multiply(X_82,multiply(X_84,inverse(multiply(X_87,multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82))))) = X_83 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_82,multiply(X_84,multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))))),X_83) ),[0],$fot(multiply(X_82,multiply(X_84,inverse(multiply(X_87,multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82))))))]]) ).
cnf(refute_0_358,plain,
( multiply(X_82,multiply(X_84,multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))))) != X_83
| multiply(X_82,multiply(X_84,inverse(multiply(X_87,multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82))))) = X_83 ),
inference(resolve,[$cnf( $equal(multiply(X_82,multiply(X_84,multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))))),multiply(X_82,multiply(X_84,inverse(multiply(X_87,multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82)))))) )],[refute_0_356,refute_0_357]) ).
cnf(refute_0_359,plain,
multiply(X_82,multiply(X_84,inverse(multiply(X_87,multiply(multiply(X_84,inverse(multiply(X_87,X_83))),X_82))))) = X_83,
inference(resolve,[$cnf( $equal(multiply(X_82,multiply(X_84,multiply(inverse(X_87),inverse(multiply(multiply(X_84,multiply(X_86,inverse(multiply(multiply(X_86,X_87),X_83)))),X_82))))),X_83) )],[refute_0_286,refute_0_358]) ).
cnf(refute_0_360,plain,
multiply(X_1,multiply(X_94,inverse(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))))) = X_93,
inference(subst,[],[refute_0_359:[bind(X_82,$fot(X_1)),bind(X_83,$fot(X_93)),bind(X_84,$fot(X_94)),bind(X_87,$fot(X_95))]]) ).
cnf(refute_0_361,plain,
( multiply(X_1,multiply(X_94,inverse(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))))) != X_93
| multiply(X_1,inverse(multiply(X_1,multiply(X_94,inverse(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))))))) != inverse(multiply(X_94,inverse(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)))))
| multiply(X_1,inverse(X_93)) = inverse(multiply(X_94,inverse(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_1,inverse(multiply(X_1,multiply(X_94,inverse(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))))))),inverse(multiply(X_94,inverse(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)))))) ),[0,1,0],$fot(X_93)]]) ).
cnf(refute_0_362,plain,
( multiply(X_1,inverse(multiply(X_1,multiply(X_94,inverse(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))))))) != inverse(multiply(X_94,inverse(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)))))
| multiply(X_1,inverse(X_93)) = inverse(multiply(X_94,inverse(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))))) ),
inference(resolve,[$cnf( $equal(multiply(X_1,multiply(X_94,inverse(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))))),X_93) )],[refute_0_360,refute_0_361]) ).
cnf(refute_0_363,plain,
multiply(X_1,inverse(X_93)) = inverse(multiply(X_94,inverse(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))))),
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(multiply(X_1,multiply(X_94,inverse(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))))))),inverse(multiply(X_94,inverse(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)))))) )],[refute_0_143,refute_0_362]) ).
cnf(refute_0_364,plain,
multiply(multiply(X_72,X_73),multiply(X_71,inverse(X_72))) = multiply(X_71,X_73),
inference(subst,[],[refute_0_195:[bind(X_1,$fot(X_71)),bind(X_21,$fot(X_72)),bind(X_23,$fot(X_73))]]) ).
cnf(refute_0_365,plain,
multiply(X_73,X_71) = multiply(X_71,X_73),
inference(subst,[],[refute_0_73:[bind(X,$fot(X_73)),bind(X_1,$fot(X_71))]]) ).
cnf(refute_0_366,plain,
( multiply(X_73,X_71) != multiply(X_71,X_73)
| multiply(X_71,X_73) = multiply(X_73,X_71) ),
inference(subst,[],[refute_0_67:[bind(X0,$fot(multiply(X_73,X_71))),bind(Y0,$fot(multiply(X_71,X_73)))]]) ).
cnf(refute_0_367,plain,
multiply(X_71,X_73) = multiply(X_73,X_71),
inference(resolve,[$cnf( $equal(multiply(X_73,X_71),multiply(X_71,X_73)) )],[refute_0_365,refute_0_366]) ).
cnf(refute_0_368,plain,
( multiply(X_71,X_73) != multiply(X_73,X_71)
| multiply(multiply(X_72,X_73),multiply(X_71,inverse(X_72))) != multiply(X_71,X_73)
| multiply(multiply(X_72,X_73),multiply(X_71,inverse(X_72))) = multiply(X_73,X_71) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_72,X_73),multiply(X_71,inverse(X_72))),multiply(X_71,X_73)) ),[1],$fot(multiply(X_73,X_71))]]) ).
cnf(refute_0_369,plain,
( multiply(multiply(X_72,X_73),multiply(X_71,inverse(X_72))) != multiply(X_71,X_73)
| multiply(multiply(X_72,X_73),multiply(X_71,inverse(X_72))) = multiply(X_73,X_71) ),
inference(resolve,[$cnf( $equal(multiply(X_71,X_73),multiply(X_73,X_71)) )],[refute_0_367,refute_0_368]) ).
cnf(refute_0_370,plain,
multiply(multiply(X_72,X_73),multiply(X_71,inverse(X_72))) = multiply(X_73,X_71),
inference(resolve,[$cnf( $equal(multiply(multiply(X_72,X_73),multiply(X_71,inverse(X_72))),multiply(X_71,X_73)) )],[refute_0_364,refute_0_369]) ).
cnf(refute_0_371,plain,
multiply(multiply(inverse(X_2),multiply(X_2,Y)),multiply(X_71,inverse(inverse(X_2)))) = multiply(X_71,multiply(X_2,Y)),
inference(subst,[],[refute_0_195:[bind(X_1,$fot(X_71)),bind(X_21,$fot(inverse(X_2))),bind(X_23,$fot(multiply(X_2,Y)))]]) ).
cnf(refute_0_372,plain,
multiply(Y,X_2) = multiply(X_2,Y),
inference(subst,[],[refute_0_73:[bind(X,$fot(Y)),bind(X_1,$fot(X_2))]]) ).
cnf(refute_0_373,plain,
( multiply(Y,X_2) != multiply(X_2,Y)
| multiply(multiply(Y,X_2),multiply(X_1,inverse(multiply(X_1,X_2)))) != Y
| multiply(multiply(X_2,Y),multiply(X_1,inverse(multiply(X_1,X_2)))) = Y ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(Y,X_2),multiply(X_1,inverse(multiply(X_1,X_2)))),Y) ),[0,0],$fot(multiply(X_2,Y))]]) ).
cnf(refute_0_374,plain,
( multiply(multiply(Y,X_2),multiply(X_1,inverse(multiply(X_1,X_2)))) != Y
| multiply(multiply(X_2,Y),multiply(X_1,inverse(multiply(X_1,X_2)))) = Y ),
inference(resolve,[$cnf( $equal(multiply(Y,X_2),multiply(X_2,Y)) )],[refute_0_372,refute_0_373]) ).
cnf(refute_0_375,plain,
multiply(multiply(X_2,Y),multiply(X_1,inverse(multiply(X_1,X_2)))) = Y,
inference(resolve,[$cnf( $equal(multiply(multiply(Y,X_2),multiply(X_1,inverse(multiply(X_1,X_2)))),Y) )],[refute_0_46,refute_0_374]) ).
cnf(refute_0_376,plain,
multiply(multiply(X_2,Y),inverse(X_2)) = multiply(inverse(X_2),multiply(X_2,Y)),
inference(subst,[],[refute_0_75:[bind(X,$fot(inverse(X_2))),bind(X_1,$fot(multiply(X_2,Y)))]]) ).
cnf(refute_0_377,plain,
multiply(X_1,inverse(multiply(X_1,X_2))) = inverse(X_2),
inference(subst,[],[refute_0_142:[bind(X_41,$fot(X_2))]]) ).
cnf(refute_0_378,plain,
multiply(multiply(X_2,Y),multiply(X_1,inverse(multiply(X_1,X_2)))) = multiply(multiply(X_2,Y),multiply(X_1,inverse(multiply(X_1,X_2)))),
introduced(tautology,[refl,[$fot(multiply(multiply(X_2,Y),multiply(X_1,inverse(multiply(X_1,X_2)))))]]) ).
cnf(refute_0_379,plain,
( multiply(X_1,inverse(multiply(X_1,X_2))) != inverse(X_2)
| multiply(multiply(X_2,Y),multiply(X_1,inverse(multiply(X_1,X_2)))) != multiply(multiply(X_2,Y),multiply(X_1,inverse(multiply(X_1,X_2))))
| multiply(multiply(X_2,Y),multiply(X_1,inverse(multiply(X_1,X_2)))) = multiply(multiply(X_2,Y),inverse(X_2)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_2,Y),multiply(X_1,inverse(multiply(X_1,X_2)))),multiply(multiply(X_2,Y),multiply(X_1,inverse(multiply(X_1,X_2))))) ),[1,1],$fot(inverse(X_2))]]) ).
cnf(refute_0_380,plain,
( multiply(X_1,inverse(multiply(X_1,X_2))) != inverse(X_2)
| multiply(multiply(X_2,Y),multiply(X_1,inverse(multiply(X_1,X_2)))) = multiply(multiply(X_2,Y),inverse(X_2)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_2,Y),multiply(X_1,inverse(multiply(X_1,X_2)))),multiply(multiply(X_2,Y),multiply(X_1,inverse(multiply(X_1,X_2))))) )],[refute_0_378,refute_0_379]) ).
cnf(refute_0_381,plain,
multiply(multiply(X_2,Y),multiply(X_1,inverse(multiply(X_1,X_2)))) = multiply(multiply(X_2,Y),inverse(X_2)),
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(multiply(X_1,X_2))),inverse(X_2)) )],[refute_0_377,refute_0_380]) ).
cnf(refute_0_382,plain,
( multiply(multiply(X_2,Y),multiply(X_1,inverse(multiply(X_1,X_2)))) != multiply(multiply(X_2,Y),inverse(X_2))
| multiply(multiply(X_2,Y),inverse(X_2)) != multiply(inverse(X_2),multiply(X_2,Y))
| multiply(multiply(X_2,Y),multiply(X_1,inverse(multiply(X_1,X_2)))) = multiply(inverse(X_2),multiply(X_2,Y)) ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(multiply(X_2,Y),multiply(X_1,inverse(multiply(X_1,X_2)))))),bind(Y0,$fot(multiply(multiply(X_2,Y),inverse(X_2)))),bind(Z0,$fot(multiply(inverse(X_2),multiply(X_2,Y))))]]) ).
cnf(refute_0_383,plain,
( multiply(multiply(X_2,Y),inverse(X_2)) != multiply(inverse(X_2),multiply(X_2,Y))
| multiply(multiply(X_2,Y),multiply(X_1,inverse(multiply(X_1,X_2)))) = multiply(inverse(X_2),multiply(X_2,Y)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_2,Y),multiply(X_1,inverse(multiply(X_1,X_2)))),multiply(multiply(X_2,Y),inverse(X_2))) )],[refute_0_381,refute_0_382]) ).
cnf(refute_0_384,plain,
multiply(multiply(X_2,Y),multiply(X_1,inverse(multiply(X_1,X_2)))) = multiply(inverse(X_2),multiply(X_2,Y)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_2,Y),inverse(X_2)),multiply(inverse(X_2),multiply(X_2,Y))) )],[refute_0_376,refute_0_383]) ).
cnf(refute_0_385,plain,
( multiply(multiply(X_2,Y),multiply(X_1,inverse(multiply(X_1,X_2)))) != Y
| multiply(multiply(X_2,Y),multiply(X_1,inverse(multiply(X_1,X_2)))) != multiply(inverse(X_2),multiply(X_2,Y))
| multiply(inverse(X_2),multiply(X_2,Y)) = Y ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_2,Y),multiply(X_1,inverse(multiply(X_1,X_2)))),Y) ),[0],$fot(multiply(inverse(X_2),multiply(X_2,Y)))]]) ).
cnf(refute_0_386,plain,
( multiply(multiply(X_2,Y),multiply(X_1,inverse(multiply(X_1,X_2)))) != Y
| multiply(inverse(X_2),multiply(X_2,Y)) = Y ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_2,Y),multiply(X_1,inverse(multiply(X_1,X_2)))),multiply(inverse(X_2),multiply(X_2,Y))) )],[refute_0_384,refute_0_385]) ).
cnf(refute_0_387,plain,
multiply(inverse(X_2),multiply(X_2,Y)) = Y,
inference(resolve,[$cnf( $equal(multiply(multiply(X_2,Y),multiply(X_1,inverse(multiply(X_1,X_2)))),Y) )],[refute_0_375,refute_0_386]) ).
cnf(refute_0_388,plain,
( multiply(multiply(inverse(X_2),multiply(X_2,Y)),multiply(X_71,inverse(inverse(X_2)))) != multiply(X_71,multiply(X_2,Y))
| multiply(inverse(X_2),multiply(X_2,Y)) != Y
| multiply(Y,multiply(X_71,inverse(inverse(X_2)))) = multiply(X_71,multiply(X_2,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_2),multiply(X_2,Y)),multiply(X_71,inverse(inverse(X_2)))),multiply(X_71,multiply(X_2,Y))) ),[0,0],$fot(Y)]]) ).
cnf(refute_0_389,plain,
( multiply(multiply(inverse(X_2),multiply(X_2,Y)),multiply(X_71,inverse(inverse(X_2)))) != multiply(X_71,multiply(X_2,Y))
| multiply(Y,multiply(X_71,inverse(inverse(X_2)))) = multiply(X_71,multiply(X_2,Y)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_2),multiply(X_2,Y)),Y) )],[refute_0_387,refute_0_388]) ).
cnf(refute_0_390,plain,
multiply(Y,multiply(X_71,inverse(inverse(X_2)))) = multiply(X_71,multiply(X_2,Y)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_2),multiply(X_2,Y)),multiply(X_71,inverse(inverse(X_2)))),multiply(X_71,multiply(X_2,Y))) )],[refute_0_371,refute_0_389]) ).
cnf(refute_0_391,plain,
inverse(inverse(X_2)) = X_2,
inference(subst,[],[refute_0_294:[bind(X_39,$fot(X_2))]]) ).
cnf(refute_0_392,plain,
multiply(X_71,inverse(inverse(X_2))) = multiply(X_71,inverse(inverse(X_2))),
introduced(tautology,[refl,[$fot(multiply(X_71,inverse(inverse(X_2))))]]) ).
cnf(refute_0_393,plain,
( multiply(X_71,inverse(inverse(X_2))) != multiply(X_71,inverse(inverse(X_2)))
| inverse(inverse(X_2)) != X_2
| multiply(X_71,inverse(inverse(X_2))) = multiply(X_71,X_2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_71,inverse(inverse(X_2))),multiply(X_71,inverse(inverse(X_2)))) ),[1,1],$fot(X_2)]]) ).
cnf(refute_0_394,plain,
( inverse(inverse(X_2)) != X_2
| multiply(X_71,inverse(inverse(X_2))) = multiply(X_71,X_2) ),
inference(resolve,[$cnf( $equal(multiply(X_71,inverse(inverse(X_2))),multiply(X_71,inverse(inverse(X_2)))) )],[refute_0_392,refute_0_393]) ).
cnf(refute_0_395,plain,
multiply(X_71,inverse(inverse(X_2))) = multiply(X_71,X_2),
inference(resolve,[$cnf( $equal(inverse(inverse(X_2)),X_2) )],[refute_0_391,refute_0_394]) ).
cnf(refute_0_396,plain,
multiply(Y,multiply(X_71,inverse(inverse(X_2)))) = multiply(Y,multiply(X_71,inverse(inverse(X_2)))),
introduced(tautology,[refl,[$fot(multiply(Y,multiply(X_71,inverse(inverse(X_2)))))]]) ).
cnf(refute_0_397,plain,
( multiply(Y,multiply(X_71,inverse(inverse(X_2)))) != multiply(Y,multiply(X_71,inverse(inverse(X_2))))
| multiply(X_71,inverse(inverse(X_2))) != multiply(X_71,X_2)
| multiply(Y,multiply(X_71,inverse(inverse(X_2)))) = multiply(Y,multiply(X_71,X_2)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Y,multiply(X_71,inverse(inverse(X_2)))),multiply(Y,multiply(X_71,inverse(inverse(X_2))))) ),[1,1],$fot(multiply(X_71,X_2))]]) ).
cnf(refute_0_398,plain,
( multiply(X_71,inverse(inverse(X_2))) != multiply(X_71,X_2)
| multiply(Y,multiply(X_71,inverse(inverse(X_2)))) = multiply(Y,multiply(X_71,X_2)) ),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(X_71,inverse(inverse(X_2)))),multiply(Y,multiply(X_71,inverse(inverse(X_2))))) )],[refute_0_396,refute_0_397]) ).
cnf(refute_0_399,plain,
multiply(Y,multiply(X_71,inverse(inverse(X_2)))) = multiply(Y,multiply(X_71,X_2)),
inference(resolve,[$cnf( $equal(multiply(X_71,inverse(inverse(X_2))),multiply(X_71,X_2)) )],[refute_0_395,refute_0_398]) ).
cnf(refute_0_400,plain,
( multiply(Y,multiply(X_71,inverse(inverse(X_2)))) != multiply(Y,multiply(X_71,X_2))
| multiply(Y,multiply(X_71,inverse(inverse(X_2)))) != multiply(X_71,multiply(X_2,Y))
| multiply(Y,multiply(X_71,X_2)) = multiply(X_71,multiply(X_2,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Y,multiply(X_71,inverse(inverse(X_2)))),multiply(X_71,multiply(X_2,Y))) ),[0],$fot(multiply(Y,multiply(X_71,X_2)))]]) ).
cnf(refute_0_401,plain,
( multiply(Y,multiply(X_71,inverse(inverse(X_2)))) != multiply(X_71,multiply(X_2,Y))
| multiply(Y,multiply(X_71,X_2)) = multiply(X_71,multiply(X_2,Y)) ),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(X_71,inverse(inverse(X_2)))),multiply(Y,multiply(X_71,X_2))) )],[refute_0_399,refute_0_400]) ).
cnf(refute_0_402,plain,
multiply(Y,multiply(X_71,X_2)) = multiply(X_71,multiply(X_2,Y)),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(X_71,inverse(inverse(X_2)))),multiply(X_71,multiply(X_2,Y))) )],[refute_0_390,refute_0_401]) ).
cnf(refute_0_403,plain,
( multiply(Y,multiply(X_71,X_2)) != multiply(X_71,multiply(X_2,Y))
| multiply(X_71,multiply(X_2,Y)) = multiply(Y,multiply(X_71,X_2)) ),
inference(subst,[],[refute_0_67:[bind(X0,$fot(multiply(Y,multiply(X_71,X_2)))),bind(Y0,$fot(multiply(X_71,multiply(X_2,Y))))]]) ).
cnf(refute_0_404,plain,
multiply(X_71,multiply(X_2,Y)) = multiply(Y,multiply(X_71,X_2)),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(X_71,X_2)),multiply(X_71,multiply(X_2,Y))) )],[refute_0_402,refute_0_403]) ).
cnf(refute_0_405,plain,
multiply(multiply(X_72,X_73),multiply(X_71,inverse(X_72))) = multiply(inverse(X_72),multiply(multiply(X_72,X_73),X_71)),
inference(subst,[],[refute_0_404:[bind(Y,$fot(inverse(X_72))),bind(X_2,$fot(X_71)),bind(X_71,$fot(multiply(X_72,X_73)))]]) ).
cnf(refute_0_406,plain,
( multiply(multiply(X_72,X_73),multiply(X_71,inverse(X_72))) != multiply(X_73,X_71)
| multiply(multiply(X_72,X_73),multiply(X_71,inverse(X_72))) != multiply(inverse(X_72),multiply(multiply(X_72,X_73),X_71))
| multiply(inverse(X_72),multiply(multiply(X_72,X_73),X_71)) = multiply(X_73,X_71) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_72,X_73),multiply(X_71,inverse(X_72))),multiply(X_73,X_71)) ),[0],$fot(multiply(inverse(X_72),multiply(multiply(X_72,X_73),X_71)))]]) ).
cnf(refute_0_407,plain,
( multiply(multiply(X_72,X_73),multiply(X_71,inverse(X_72))) != multiply(X_73,X_71)
| multiply(inverse(X_72),multiply(multiply(X_72,X_73),X_71)) = multiply(X_73,X_71) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_72,X_73),multiply(X_71,inverse(X_72))),multiply(inverse(X_72),multiply(multiply(X_72,X_73),X_71))) )],[refute_0_405,refute_0_406]) ).
cnf(refute_0_408,plain,
multiply(inverse(X_72),multiply(multiply(X_72,X_73),X_71)) = multiply(X_73,X_71),
inference(resolve,[$cnf( $equal(multiply(multiply(X_72,X_73),multiply(X_71,inverse(X_72))),multiply(X_73,X_71)) )],[refute_0_370,refute_0_407]) ).
cnf(refute_0_409,plain,
multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)) = multiply(inverse(multiply(X_95,X_93)),X_1),
inference(subst,[],[refute_0_408:[bind(X_71,$fot(X_1)),bind(X_72,$fot(X_94)),bind(X_73,$fot(inverse(multiply(X_95,X_93))))]]) ).
cnf(refute_0_410,plain,
multiply(X_95,multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))) = multiply(X_95,multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))),
introduced(tautology,[refl,[$fot(multiply(X_95,multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))))]]) ).
cnf(refute_0_411,plain,
( multiply(X_95,multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))) != multiply(X_95,multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)))
| multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)) != multiply(inverse(multiply(X_95,X_93)),X_1)
| multiply(X_95,multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))) = multiply(X_95,multiply(inverse(multiply(X_95,X_93)),X_1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_95,multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))),multiply(X_95,multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)))) ),[1,1],$fot(multiply(inverse(multiply(X_95,X_93)),X_1))]]) ).
cnf(refute_0_412,plain,
( multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)) != multiply(inverse(multiply(X_95,X_93)),X_1)
| multiply(X_95,multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))) = multiply(X_95,multiply(inverse(multiply(X_95,X_93)),X_1)) ),
inference(resolve,[$cnf( $equal(multiply(X_95,multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))),multiply(X_95,multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)))) )],[refute_0_410,refute_0_411]) ).
cnf(refute_0_413,plain,
multiply(X_95,multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))) = multiply(X_95,multiply(inverse(multiply(X_95,X_93)),X_1)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)),multiply(inverse(multiply(X_95,X_93)),X_1)) )],[refute_0_409,refute_0_412]) ).
cnf(refute_0_414,plain,
multiply(X_18,multiply(X_20,inverse(multiply(X_18,multiply(X_20,inverse(multiply(X_18,multiply(multiply(X_20,X_2),inverse(multiply(Y,X_2)))))))))) = multiply(X_18,multiply(multiply(X_20,X_2),inverse(multiply(Y,X_2)))),
inference(subst,[],[refute_0_190:[bind(X,$fot(X_18)),bind(Y,$fot(multiply(X_18,multiply(multiply(X_20,X_2),inverse(multiply(Y,X_2)))))),bind(X_1,$fot(X_20))]]) ).
cnf(refute_0_415,plain,
multiply(X_18,multiply(X_20,inverse(multiply(X_18,multiply(multiply(X_20,X_2),inverse(multiply(Y,X_2))))))) = Y,
inference(subst,[],[refute_0_11:[bind(X,$fot(X_18)),bind(X_1,$fot(X_20))]]) ).
cnf(refute_0_416,plain,
( multiply(X_18,multiply(X_20,inverse(multiply(X_18,multiply(X_20,inverse(multiply(X_18,multiply(multiply(X_20,X_2),inverse(multiply(Y,X_2)))))))))) != multiply(X_18,multiply(multiply(X_20,X_2),inverse(multiply(Y,X_2))))
| multiply(X_18,multiply(X_20,inverse(multiply(X_18,multiply(multiply(X_20,X_2),inverse(multiply(Y,X_2))))))) != Y
| multiply(X_18,multiply(X_20,inverse(Y))) = multiply(X_18,multiply(multiply(X_20,X_2),inverse(multiply(Y,X_2)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_18,multiply(X_20,inverse(multiply(X_18,multiply(X_20,inverse(multiply(X_18,multiply(multiply(X_20,X_2),inverse(multiply(Y,X_2)))))))))),multiply(X_18,multiply(multiply(X_20,X_2),inverse(multiply(Y,X_2))))) ),[0,1,1,0],$fot(Y)]]) ).
cnf(refute_0_417,plain,
( multiply(X_18,multiply(X_20,inverse(multiply(X_18,multiply(X_20,inverse(multiply(X_18,multiply(multiply(X_20,X_2),inverse(multiply(Y,X_2)))))))))) != multiply(X_18,multiply(multiply(X_20,X_2),inverse(multiply(Y,X_2))))
| multiply(X_18,multiply(X_20,inverse(Y))) = multiply(X_18,multiply(multiply(X_20,X_2),inverse(multiply(Y,X_2)))) ),
inference(resolve,[$cnf( $equal(multiply(X_18,multiply(X_20,inverse(multiply(X_18,multiply(multiply(X_20,X_2),inverse(multiply(Y,X_2))))))),Y) )],[refute_0_415,refute_0_416]) ).
cnf(refute_0_418,plain,
multiply(X_18,multiply(X_20,inverse(Y))) = multiply(X_18,multiply(multiply(X_20,X_2),inverse(multiply(Y,X_2)))),
inference(resolve,[$cnf( $equal(multiply(X_18,multiply(X_20,inverse(multiply(X_18,multiply(X_20,inverse(multiply(X_18,multiply(multiply(X_20,X_2),inverse(multiply(Y,X_2)))))))))),multiply(X_18,multiply(multiply(X_20,X_2),inverse(multiply(Y,X_2))))) )],[refute_0_414,refute_0_417]) ).
cnf(refute_0_419,plain,
multiply(X_55,multiply(X_57,inverse(X_54))) = multiply(X_55,multiply(multiply(X_57,multiply(inverse(X_57),Y)),inverse(multiply(X_54,multiply(inverse(X_57),Y))))),
inference(subst,[],[refute_0_418:[bind(Y,$fot(X_54)),bind(X_18,$fot(X_55)),bind(X_2,$fot(multiply(inverse(X_57),Y))),bind(X_20,$fot(X_57))]]) ).
cnf(refute_0_420,plain,
multiply(X_57,multiply(inverse(X_57),Y)) = Y,
inference(subst,[],[refute_0_153:[bind(X,$fot(X_57))]]) ).
cnf(refute_0_421,plain,
( multiply(X_55,multiply(X_57,inverse(X_54))) != multiply(X_55,multiply(multiply(X_57,multiply(inverse(X_57),Y)),inverse(multiply(X_54,multiply(inverse(X_57),Y)))))
| multiply(X_57,multiply(inverse(X_57),Y)) != Y
| multiply(X_55,multiply(X_57,inverse(X_54))) = multiply(X_55,multiply(Y,inverse(multiply(X_54,multiply(inverse(X_57),Y))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_55,multiply(X_57,inverse(X_54))),multiply(X_55,multiply(multiply(X_57,multiply(inverse(X_57),Y)),inverse(multiply(X_54,multiply(inverse(X_57),Y)))))) ),[1,1,0],$fot(Y)]]) ).
cnf(refute_0_422,plain,
( multiply(X_55,multiply(X_57,inverse(X_54))) != multiply(X_55,multiply(multiply(X_57,multiply(inverse(X_57),Y)),inverse(multiply(X_54,multiply(inverse(X_57),Y)))))
| multiply(X_55,multiply(X_57,inverse(X_54))) = multiply(X_55,multiply(Y,inverse(multiply(X_54,multiply(inverse(X_57),Y))))) ),
inference(resolve,[$cnf( $equal(multiply(X_57,multiply(inverse(X_57),Y)),Y) )],[refute_0_420,refute_0_421]) ).
cnf(refute_0_423,plain,
multiply(X_55,multiply(X_57,inverse(X_54))) = multiply(X_55,multiply(Y,inverse(multiply(X_54,multiply(inverse(X_57),Y))))),
inference(resolve,[$cnf( $equal(multiply(X_55,multiply(X_57,inverse(X_54))),multiply(X_55,multiply(multiply(X_57,multiply(inverse(X_57),Y)),inverse(multiply(X_54,multiply(inverse(X_57),Y)))))) )],[refute_0_419,refute_0_422]) ).
cnf(refute_0_424,plain,
multiply(multiply(X_61,inverse(X_63)),inverse(multiply(multiply(X_61,inverse(X_63)),multiply(X_62,multiply(inverse(X_61),X_63))))) = inverse(multiply(X_62,multiply(inverse(X_61),X_63))),
inference(subst,[],[refute_0_142:[bind(X_1,$fot(multiply(X_61,inverse(X_63)))),bind(X_41,$fot(multiply(X_62,multiply(inverse(X_61),X_63))))]]) ).
cnf(refute_0_425,plain,
multiply(multiply(X_30,multiply(X_31,inverse(multiply(X_31,multiply(Y,inverse(X_31)))))),multiply(Y,inverse(X_31))) = X_30,
inference(subst,[],[refute_0_55:[bind(Y,$fot(X_30)),bind(X_22,$fot(X_31)),bind(X_23,$fot(multiply(Y,inverse(X_31))))]]) ).
cnf(refute_0_426,plain,
multiply(X_31,multiply(Y,inverse(X_31))) = Y,
inference(subst,[],[refute_0_36:[bind(X,$fot(X_31))]]) ).
cnf(refute_0_427,plain,
( multiply(X_31,multiply(Y,inverse(X_31))) != Y
| multiply(multiply(X_30,multiply(X_31,inverse(multiply(X_31,multiply(Y,inverse(X_31)))))),multiply(Y,inverse(X_31))) != X_30
| multiply(multiply(X_30,multiply(X_31,inverse(Y))),multiply(Y,inverse(X_31))) = X_30 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_30,multiply(X_31,inverse(multiply(X_31,multiply(Y,inverse(X_31)))))),multiply(Y,inverse(X_31))),X_30) ),[0,0,1,1,0],$fot(Y)]]) ).
cnf(refute_0_428,plain,
( multiply(multiply(X_30,multiply(X_31,inverse(multiply(X_31,multiply(Y,inverse(X_31)))))),multiply(Y,inverse(X_31))) != X_30
| multiply(multiply(X_30,multiply(X_31,inverse(Y))),multiply(Y,inverse(X_31))) = X_30 ),
inference(resolve,[$cnf( $equal(multiply(X_31,multiply(Y,inverse(X_31))),Y) )],[refute_0_426,refute_0_427]) ).
cnf(refute_0_429,plain,
multiply(multiply(X_30,multiply(X_31,inverse(Y))),multiply(Y,inverse(X_31))) = X_30,
inference(resolve,[$cnf( $equal(multiply(multiply(X_30,multiply(X_31,inverse(multiply(X_31,multiply(Y,inverse(X_31)))))),multiply(Y,inverse(X_31))),X_30) )],[refute_0_425,refute_0_428]) ).
cnf(refute_0_430,plain,
multiply(multiply(X_30,multiply(X_31,inverse(Y))),multiply(Y,inverse(X_31))) = multiply(multiply(Y,inverse(X_31)),multiply(X_30,multiply(X_31,inverse(Y)))),
inference(subst,[],[refute_0_75:[bind(X,$fot(multiply(Y,inverse(X_31)))),bind(X_1,$fot(multiply(X_30,multiply(X_31,inverse(Y)))))]]) ).
cnf(refute_0_431,plain,
( multiply(multiply(X_30,multiply(X_31,inverse(Y))),multiply(Y,inverse(X_31))) != X_30
| multiply(multiply(X_30,multiply(X_31,inverse(Y))),multiply(Y,inverse(X_31))) != multiply(multiply(Y,inverse(X_31)),multiply(X_30,multiply(X_31,inverse(Y))))
| multiply(multiply(Y,inverse(X_31)),multiply(X_30,multiply(X_31,inverse(Y)))) = X_30 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_30,multiply(X_31,inverse(Y))),multiply(Y,inverse(X_31))),X_30) ),[0],$fot(multiply(multiply(Y,inverse(X_31)),multiply(X_30,multiply(X_31,inverse(Y)))))]]) ).
cnf(refute_0_432,plain,
( multiply(multiply(X_30,multiply(X_31,inverse(Y))),multiply(Y,inverse(X_31))) != X_30
| multiply(multiply(Y,inverse(X_31)),multiply(X_30,multiply(X_31,inverse(Y)))) = X_30 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_30,multiply(X_31,inverse(Y))),multiply(Y,inverse(X_31))),multiply(multiply(Y,inverse(X_31)),multiply(X_30,multiply(X_31,inverse(Y))))) )],[refute_0_430,refute_0_431]) ).
cnf(refute_0_433,plain,
multiply(multiply(Y,inverse(X_31)),multiply(X_30,multiply(X_31,inverse(Y)))) = X_30,
inference(resolve,[$cnf( $equal(multiply(multiply(X_30,multiply(X_31,inverse(Y))),multiply(Y,inverse(X_31))),X_30) )],[refute_0_429,refute_0_432]) ).
cnf(refute_0_434,plain,
multiply(multiply(X_58,inverse(X_60)),multiply(X_59,multiply(X_60,inverse(X_58)))) = X_59,
inference(subst,[],[refute_0_433:[bind(Y,$fot(X_58)),bind(X_30,$fot(X_59)),bind(X_31,$fot(X_60))]]) ).
cnf(refute_0_435,plain,
multiply(inverse(X_58),X_60) = multiply(X_60,inverse(X_58)),
inference(subst,[],[refute_0_73:[bind(X,$fot(inverse(X_58))),bind(X_1,$fot(X_60))]]) ).
cnf(refute_0_436,plain,
( multiply(inverse(X_58),X_60) != multiply(X_60,inverse(X_58))
| multiply(X_60,inverse(X_58)) = multiply(inverse(X_58),X_60) ),
inference(subst,[],[refute_0_67:[bind(X0,$fot(multiply(inverse(X_58),X_60))),bind(Y0,$fot(multiply(X_60,inverse(X_58))))]]) ).
cnf(refute_0_437,plain,
multiply(X_60,inverse(X_58)) = multiply(inverse(X_58),X_60),
inference(resolve,[$cnf( $equal(multiply(inverse(X_58),X_60),multiply(X_60,inverse(X_58))) )],[refute_0_435,refute_0_436]) ).
cnf(refute_0_438,plain,
( multiply(X_60,inverse(X_58)) != multiply(inverse(X_58),X_60)
| multiply(multiply(X_58,inverse(X_60)),multiply(X_59,multiply(X_60,inverse(X_58)))) != X_59
| multiply(multiply(X_58,inverse(X_60)),multiply(X_59,multiply(inverse(X_58),X_60))) = X_59 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_58,inverse(X_60)),multiply(X_59,multiply(X_60,inverse(X_58)))),X_59) ),[0,1,1],$fot(multiply(inverse(X_58),X_60))]]) ).
cnf(refute_0_439,plain,
( multiply(multiply(X_58,inverse(X_60)),multiply(X_59,multiply(X_60,inverse(X_58)))) != X_59
| multiply(multiply(X_58,inverse(X_60)),multiply(X_59,multiply(inverse(X_58),X_60))) = X_59 ),
inference(resolve,[$cnf( $equal(multiply(X_60,inverse(X_58)),multiply(inverse(X_58),X_60)) )],[refute_0_437,refute_0_438]) ).
cnf(refute_0_440,plain,
multiply(multiply(X_58,inverse(X_60)),multiply(X_59,multiply(inverse(X_58),X_60))) = X_59,
inference(resolve,[$cnf( $equal(multiply(multiply(X_58,inverse(X_60)),multiply(X_59,multiply(X_60,inverse(X_58)))),X_59) )],[refute_0_434,refute_0_439]) ).
cnf(refute_0_441,plain,
multiply(multiply(X_61,inverse(X_63)),multiply(X_62,multiply(inverse(X_61),X_63))) = X_62,
inference(subst,[],[refute_0_440:[bind(X_58,$fot(X_61)),bind(X_59,$fot(X_62)),bind(X_60,$fot(X_63))]]) ).
cnf(refute_0_442,plain,
( multiply(multiply(X_61,inverse(X_63)),multiply(X_62,multiply(inverse(X_61),X_63))) != X_62
| multiply(multiply(X_61,inverse(X_63)),inverse(multiply(multiply(X_61,inverse(X_63)),multiply(X_62,multiply(inverse(X_61),X_63))))) != inverse(multiply(X_62,multiply(inverse(X_61),X_63)))
| multiply(multiply(X_61,inverse(X_63)),inverse(X_62)) = inverse(multiply(X_62,multiply(inverse(X_61),X_63))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_61,inverse(X_63)),inverse(multiply(multiply(X_61,inverse(X_63)),multiply(X_62,multiply(inverse(X_61),X_63))))),inverse(multiply(X_62,multiply(inverse(X_61),X_63)))) ),[0,1,0],$fot(X_62)]]) ).
cnf(refute_0_443,plain,
( multiply(multiply(X_61,inverse(X_63)),inverse(multiply(multiply(X_61,inverse(X_63)),multiply(X_62,multiply(inverse(X_61),X_63))))) != inverse(multiply(X_62,multiply(inverse(X_61),X_63)))
| multiply(multiply(X_61,inverse(X_63)),inverse(X_62)) = inverse(multiply(X_62,multiply(inverse(X_61),X_63))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_61,inverse(X_63)),multiply(X_62,multiply(inverse(X_61),X_63))),X_62) )],[refute_0_441,refute_0_442]) ).
cnf(refute_0_444,plain,
multiply(multiply(X_61,inverse(X_63)),inverse(X_62)) = inverse(multiply(X_62,multiply(inverse(X_61),X_63))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_61,inverse(X_63)),inverse(multiply(multiply(X_61,inverse(X_63)),multiply(X_62,multiply(inverse(X_61),X_63))))),inverse(multiply(X_62,multiply(inverse(X_61),X_63)))) )],[refute_0_424,refute_0_443]) ).
cnf(refute_0_445,plain,
multiply(multiply(X_61,inverse(X_63)),inverse(X_62)) = inverse(multiply(X_62,multiply(X_63,inverse(X_61)))),
inference(subst,[],[refute_0_238:[bind(Y,$fot(X_62)),bind(X_50,$fot(X_61)),bind(X_51,$fot(X_63))]]) ).
cnf(refute_0_446,plain,
( multiply(multiply(X_61,inverse(X_63)),inverse(X_62)) != inverse(multiply(X_62,multiply(X_63,inverse(X_61))))
| multiply(multiply(X_61,inverse(X_63)),inverse(X_62)) != inverse(multiply(X_62,multiply(inverse(X_61),X_63)))
| inverse(multiply(X_62,multiply(X_63,inverse(X_61)))) = inverse(multiply(X_62,multiply(inverse(X_61),X_63))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_61,inverse(X_63)),inverse(X_62)),inverse(multiply(X_62,multiply(inverse(X_61),X_63)))) ),[0],$fot(inverse(multiply(X_62,multiply(X_63,inverse(X_61)))))]]) ).
cnf(refute_0_447,plain,
( multiply(multiply(X_61,inverse(X_63)),inverse(X_62)) != inverse(multiply(X_62,multiply(inverse(X_61),X_63)))
| inverse(multiply(X_62,multiply(X_63,inverse(X_61)))) = inverse(multiply(X_62,multiply(inverse(X_61),X_63))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_61,inverse(X_63)),inverse(X_62)),inverse(multiply(X_62,multiply(X_63,inverse(X_61))))) )],[refute_0_445,refute_0_446]) ).
cnf(refute_0_448,plain,
inverse(multiply(X_62,multiply(X_63,inverse(X_61)))) = inverse(multiply(X_62,multiply(inverse(X_61),X_63))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_61,inverse(X_63)),inverse(X_62)),inverse(multiply(X_62,multiply(inverse(X_61),X_63)))) )],[refute_0_444,refute_0_447]) ).
cnf(refute_0_449,plain,
inverse(multiply(X_62,multiply(X_63,inverse(X_61)))) = multiply(X_61,inverse(multiply(X_63,X_62))),
inference(subst,[],[refute_0_242:[bind(X_76,$fot(X_62)),bind(X_77,$fot(X_61)),bind(X_78,$fot(X_63))]]) ).
cnf(refute_0_450,plain,
( inverse(multiply(X_62,multiply(X_63,inverse(X_61)))) != multiply(X_61,inverse(multiply(X_63,X_62)))
| inverse(multiply(X_62,multiply(X_63,inverse(X_61)))) != inverse(multiply(X_62,multiply(inverse(X_61),X_63)))
| multiply(X_61,inverse(multiply(X_63,X_62))) = inverse(multiply(X_62,multiply(inverse(X_61),X_63))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_62,multiply(X_63,inverse(X_61)))),inverse(multiply(X_62,multiply(inverse(X_61),X_63)))) ),[0],$fot(multiply(X_61,inverse(multiply(X_63,X_62))))]]) ).
cnf(refute_0_451,plain,
( inverse(multiply(X_62,multiply(X_63,inverse(X_61)))) != inverse(multiply(X_62,multiply(inverse(X_61),X_63)))
| multiply(X_61,inverse(multiply(X_63,X_62))) = inverse(multiply(X_62,multiply(inverse(X_61),X_63))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_62,multiply(X_63,inverse(X_61)))),multiply(X_61,inverse(multiply(X_63,X_62)))) )],[refute_0_449,refute_0_450]) ).
cnf(refute_0_452,plain,
multiply(X_61,inverse(multiply(X_63,X_62))) = inverse(multiply(X_62,multiply(inverse(X_61),X_63))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_62,multiply(X_63,inverse(X_61)))),inverse(multiply(X_62,multiply(inverse(X_61),X_63)))) )],[refute_0_448,refute_0_451]) ).
cnf(refute_0_453,plain,
( multiply(X_61,inverse(multiply(X_63,X_62))) != inverse(multiply(X_62,multiply(inverse(X_61),X_63)))
| inverse(multiply(X_62,multiply(inverse(X_61),X_63))) = multiply(X_61,inverse(multiply(X_63,X_62))) ),
inference(subst,[],[refute_0_67:[bind(X0,$fot(multiply(X_61,inverse(multiply(X_63,X_62))))),bind(Y0,$fot(inverse(multiply(X_62,multiply(inverse(X_61),X_63)))))]]) ).
cnf(refute_0_454,plain,
inverse(multiply(X_62,multiply(inverse(X_61),X_63))) = multiply(X_61,inverse(multiply(X_63,X_62))),
inference(resolve,[$cnf( $equal(multiply(X_61,inverse(multiply(X_63,X_62))),inverse(multiply(X_62,multiply(inverse(X_61),X_63)))) )],[refute_0_452,refute_0_453]) ).
cnf(refute_0_455,plain,
inverse(multiply(X_54,multiply(inverse(X_57),Y))) = multiply(X_57,inverse(multiply(Y,X_54))),
inference(subst,[],[refute_0_454:[bind(X_61,$fot(X_57)),bind(X_62,$fot(X_54)),bind(X_63,$fot(Y))]]) ).
cnf(refute_0_456,plain,
multiply(Y,inverse(multiply(X_54,multiply(inverse(X_57),Y)))) = multiply(Y,inverse(multiply(X_54,multiply(inverse(X_57),Y)))),
introduced(tautology,[refl,[$fot(multiply(Y,inverse(multiply(X_54,multiply(inverse(X_57),Y)))))]]) ).
cnf(refute_0_457,plain,
( multiply(Y,inverse(multiply(X_54,multiply(inverse(X_57),Y)))) != multiply(Y,inverse(multiply(X_54,multiply(inverse(X_57),Y))))
| inverse(multiply(X_54,multiply(inverse(X_57),Y))) != multiply(X_57,inverse(multiply(Y,X_54)))
| multiply(Y,inverse(multiply(X_54,multiply(inverse(X_57),Y)))) = multiply(Y,multiply(X_57,inverse(multiply(Y,X_54)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Y,inverse(multiply(X_54,multiply(inverse(X_57),Y)))),multiply(Y,inverse(multiply(X_54,multiply(inverse(X_57),Y))))) ),[1,1],$fot(multiply(X_57,inverse(multiply(Y,X_54))))]]) ).
cnf(refute_0_458,plain,
( inverse(multiply(X_54,multiply(inverse(X_57),Y))) != multiply(X_57,inverse(multiply(Y,X_54)))
| multiply(Y,inverse(multiply(X_54,multiply(inverse(X_57),Y)))) = multiply(Y,multiply(X_57,inverse(multiply(Y,X_54)))) ),
inference(resolve,[$cnf( $equal(multiply(Y,inverse(multiply(X_54,multiply(inverse(X_57),Y)))),multiply(Y,inverse(multiply(X_54,multiply(inverse(X_57),Y))))) )],[refute_0_456,refute_0_457]) ).
cnf(refute_0_459,plain,
multiply(Y,inverse(multiply(X_54,multiply(inverse(X_57),Y)))) = multiply(Y,multiply(X_57,inverse(multiply(Y,X_54)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_54,multiply(inverse(X_57),Y))),multiply(X_57,inverse(multiply(Y,X_54)))) )],[refute_0_455,refute_0_458]) ).
cnf(refute_0_460,plain,
multiply(X_55,multiply(Y,inverse(multiply(X_54,multiply(inverse(X_57),Y))))) = multiply(X_55,multiply(Y,inverse(multiply(X_54,multiply(inverse(X_57),Y))))),
introduced(tautology,[refl,[$fot(multiply(X_55,multiply(Y,inverse(multiply(X_54,multiply(inverse(X_57),Y))))))]]) ).
cnf(refute_0_461,plain,
( multiply(Y,inverse(multiply(X_54,multiply(inverse(X_57),Y)))) != multiply(Y,multiply(X_57,inverse(multiply(Y,X_54))))
| multiply(X_55,multiply(Y,inverse(multiply(X_54,multiply(inverse(X_57),Y))))) != multiply(X_55,multiply(Y,inverse(multiply(X_54,multiply(inverse(X_57),Y)))))
| multiply(X_55,multiply(Y,inverse(multiply(X_54,multiply(inverse(X_57),Y))))) = multiply(X_55,multiply(Y,multiply(X_57,inverse(multiply(Y,X_54))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_55,multiply(Y,inverse(multiply(X_54,multiply(inverse(X_57),Y))))),multiply(X_55,multiply(Y,inverse(multiply(X_54,multiply(inverse(X_57),Y)))))) ),[1,1],$fot(multiply(Y,multiply(X_57,inverse(multiply(Y,X_54)))))]]) ).
cnf(refute_0_462,plain,
( multiply(Y,inverse(multiply(X_54,multiply(inverse(X_57),Y)))) != multiply(Y,multiply(X_57,inverse(multiply(Y,X_54))))
| multiply(X_55,multiply(Y,inverse(multiply(X_54,multiply(inverse(X_57),Y))))) = multiply(X_55,multiply(Y,multiply(X_57,inverse(multiply(Y,X_54))))) ),
inference(resolve,[$cnf( $equal(multiply(X_55,multiply(Y,inverse(multiply(X_54,multiply(inverse(X_57),Y))))),multiply(X_55,multiply(Y,inverse(multiply(X_54,multiply(inverse(X_57),Y)))))) )],[refute_0_460,refute_0_461]) ).
cnf(refute_0_463,plain,
multiply(X_55,multiply(Y,inverse(multiply(X_54,multiply(inverse(X_57),Y))))) = multiply(X_55,multiply(Y,multiply(X_57,inverse(multiply(Y,X_54))))),
inference(resolve,[$cnf( $equal(multiply(Y,inverse(multiply(X_54,multiply(inverse(X_57),Y)))),multiply(Y,multiply(X_57,inverse(multiply(Y,X_54))))) )],[refute_0_459,refute_0_462]) ).
cnf(refute_0_464,plain,
( multiply(X_55,multiply(Y,inverse(multiply(X_54,multiply(inverse(X_57),Y))))) != multiply(X_55,multiply(Y,multiply(X_57,inverse(multiply(Y,X_54)))))
| multiply(X_55,multiply(X_57,inverse(X_54))) != multiply(X_55,multiply(Y,inverse(multiply(X_54,multiply(inverse(X_57),Y)))))
| multiply(X_55,multiply(X_57,inverse(X_54))) = multiply(X_55,multiply(Y,multiply(X_57,inverse(multiply(Y,X_54))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_55,multiply(X_57,inverse(X_54))),multiply(X_55,multiply(Y,inverse(multiply(X_54,multiply(inverse(X_57),Y)))))) ),[1],$fot(multiply(X_55,multiply(Y,multiply(X_57,inverse(multiply(Y,X_54))))))]]) ).
cnf(refute_0_465,plain,
( multiply(X_55,multiply(X_57,inverse(X_54))) != multiply(X_55,multiply(Y,inverse(multiply(X_54,multiply(inverse(X_57),Y)))))
| multiply(X_55,multiply(X_57,inverse(X_54))) = multiply(X_55,multiply(Y,multiply(X_57,inverse(multiply(Y,X_54))))) ),
inference(resolve,[$cnf( $equal(multiply(X_55,multiply(Y,inverse(multiply(X_54,multiply(inverse(X_57),Y))))),multiply(X_55,multiply(Y,multiply(X_57,inverse(multiply(Y,X_54)))))) )],[refute_0_463,refute_0_464]) ).
cnf(refute_0_466,plain,
multiply(X_55,multiply(X_57,inverse(X_54))) = multiply(X_55,multiply(Y,multiply(X_57,inverse(multiply(Y,X_54))))),
inference(resolve,[$cnf( $equal(multiply(X_55,multiply(X_57,inverse(X_54))),multiply(X_55,multiply(Y,inverse(multiply(X_54,multiply(inverse(X_57),Y)))))) )],[refute_0_423,refute_0_465]) ).
cnf(refute_0_467,plain,
multiply(inverse(X_41),multiply(X_71,inverse(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88)))))))) = multiply(X_71,inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41))),
inference(subst,[],[refute_0_200:[bind(X_72,$fot(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88)))))))]]) ).
cnf(refute_0_468,plain,
multiply(X,multiply(inverse(X),multiply(X_85,inverse(multiply(multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))),X))))) = multiply(X_85,inverse(multiply(multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))),X))),
inference(subst,[],[refute_0_153:[bind(Y,$fot(multiply(X_85,inverse(multiply(multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))),X)))))]]) ).
cnf(refute_0_469,plain,
multiply(X,multiply(inverse(X),multiply(X_85,inverse(multiply(multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))),X))))) = X_83,
inference(subst,[],[refute_0_281:[bind(Y,$fot(X_83)),bind(X_1,$fot(inverse(X))),bind(X_4,$fot(X_85)),bind(X_5,$fot(X_86)),bind(X_6,$fot(X_87))]]) ).
cnf(refute_0_470,plain,
( multiply(X,multiply(inverse(X),multiply(X_85,inverse(multiply(multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))),X))))) != X_83
| multiply(X,multiply(inverse(X),multiply(X_85,inverse(multiply(multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))),X))))) != multiply(X_85,inverse(multiply(multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))),X)))
| X_83 = multiply(X_85,inverse(multiply(multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))),X))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(inverse(X),multiply(X_85,inverse(multiply(multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))),X))))),multiply(X_85,inverse(multiply(multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))),X)))) ),[0],$fot(X_83)]]) ).
cnf(refute_0_471,plain,
( multiply(X,multiply(inverse(X),multiply(X_85,inverse(multiply(multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))),X))))) != multiply(X_85,inverse(multiply(multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))),X)))
| X_83 = multiply(X_85,inverse(multiply(multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))),X))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(inverse(X),multiply(X_85,inverse(multiply(multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))),X))))),X_83) )],[refute_0_469,refute_0_470]) ).
cnf(refute_0_472,plain,
X_83 = multiply(X_85,inverse(multiply(multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))),X))),
inference(resolve,[$cnf( $equal(multiply(X,multiply(inverse(X),multiply(X_85,inverse(multiply(multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))),X))))),multiply(X_85,inverse(multiply(multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))),X)))) )],[refute_0_468,refute_0_471]) ).
cnf(refute_0_473,plain,
multiply(X_40,inverse(multiply(X_40,inverse(X_39)))) = X_39,
inference(subst,[],[refute_0_122:[bind(Y,$fot(X_39)),bind(X_1,$fot(X_40))]]) ).
cnf(refute_0_474,plain,
multiply(inverse(X_39),X_40) = multiply(X_40,inverse(X_39)),
inference(subst,[],[refute_0_73:[bind(X,$fot(inverse(X_39))),bind(X_1,$fot(X_40))]]) ).
cnf(refute_0_475,plain,
( multiply(inverse(X_39),X_40) != multiply(X_40,inverse(X_39))
| multiply(X_40,inverse(X_39)) = multiply(inverse(X_39),X_40) ),
inference(subst,[],[refute_0_67:[bind(X0,$fot(multiply(inverse(X_39),X_40))),bind(Y0,$fot(multiply(X_40,inverse(X_39))))]]) ).
cnf(refute_0_476,plain,
multiply(X_40,inverse(X_39)) = multiply(inverse(X_39),X_40),
inference(resolve,[$cnf( $equal(multiply(inverse(X_39),X_40),multiply(X_40,inverse(X_39))) )],[refute_0_474,refute_0_475]) ).
cnf(refute_0_477,plain,
( multiply(X_40,inverse(X_39)) != multiply(inverse(X_39),X_40)
| multiply(X_40,inverse(multiply(X_40,inverse(X_39)))) != X_39
| multiply(X_40,inverse(multiply(inverse(X_39),X_40))) = X_39 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_40,inverse(multiply(X_40,inverse(X_39)))),X_39) ),[0,1,0],$fot(multiply(inverse(X_39),X_40))]]) ).
cnf(refute_0_478,plain,
( multiply(X_40,inverse(multiply(X_40,inverse(X_39)))) != X_39
| multiply(X_40,inverse(multiply(inverse(X_39),X_40))) = X_39 ),
inference(resolve,[$cnf( $equal(multiply(X_40,inverse(X_39)),multiply(inverse(X_39),X_40)) )],[refute_0_476,refute_0_477]) ).
cnf(refute_0_479,plain,
multiply(X_40,inverse(multiply(inverse(X_39),X_40))) = X_39,
inference(resolve,[$cnf( $equal(multiply(X_40,inverse(multiply(X_40,inverse(X_39)))),X_39) )],[refute_0_473,refute_0_478]) ).
cnf(refute_0_480,plain,
multiply(X_43,inverse(multiply(inverse(inverse(X_39)),X_43))) = inverse(X_39),
inference(subst,[],[refute_0_479:[bind(X_39,$fot(inverse(X_39))),bind(X_40,$fot(X_43))]]) ).
cnf(refute_0_481,plain,
( multiply(X_43,inverse(multiply(inverse(inverse(X_39)),X_43))) != inverse(X_39)
| inverse(inverse(X_39)) != X_39
| multiply(X_43,inverse(multiply(X_39,X_43))) = inverse(X_39) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_43,inverse(multiply(inverse(inverse(X_39)),X_43))),inverse(X_39)) ),[0,1,0,0],$fot(X_39)]]) ).
cnf(refute_0_482,plain,
( multiply(X_43,inverse(multiply(inverse(inverse(X_39)),X_43))) != inverse(X_39)
| multiply(X_43,inverse(multiply(X_39,X_43))) = inverse(X_39) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_39)),X_39) )],[refute_0_294,refute_0_481]) ).
cnf(refute_0_483,plain,
multiply(X_43,inverse(multiply(X_39,X_43))) = inverse(X_39),
inference(resolve,[$cnf( $equal(multiply(X_43,inverse(multiply(inverse(inverse(X_39)),X_43))),inverse(X_39)) )],[refute_0_480,refute_0_482]) ).
cnf(refute_0_484,plain,
multiply(X,inverse(multiply(multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83))))),X))) = inverse(multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))),
inference(subst,[],[refute_0_483:[bind(X_39,$fot(multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83))))))),bind(X_43,$fot(X))]]) ).
cnf(refute_0_485,plain,
inverse(multiply(X,multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))))) = multiply(X,inverse(multiply(multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83))))),X))),
inference(subst,[],[refute_0_454:[bind(X_61,$fot(X)),bind(X_62,$fot(X)),bind(X_63,$fot(multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))))]]) ).
cnf(refute_0_486,plain,
( multiply(X,inverse(multiply(multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83))))),X))) != inverse(multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83))))))
| inverse(multiply(X,multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))))) != multiply(X,inverse(multiply(multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83))))),X)))
| inverse(multiply(X,multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))))) = inverse(multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))) ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(inverse(multiply(X,multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))))))),bind(Y0,$fot(multiply(X,inverse(multiply(multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83))))),X))))),bind(Z0,$fot(inverse(multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83))))))))]]) ).
cnf(refute_0_487,plain,
( multiply(X,inverse(multiply(multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83))))),X))) != inverse(multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83))))))
| inverse(multiply(X,multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))))) = inverse(multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X,multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))))),multiply(X,inverse(multiply(multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83))))),X)))) )],[refute_0_485,refute_0_486]) ).
cnf(refute_0_488,plain,
inverse(multiply(X,multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))))) = inverse(multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))),
inference(resolve,[$cnf( $equal(multiply(X,inverse(multiply(multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83))))),X))),inverse(multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83))))))) )],[refute_0_484,refute_0_487]) ).
cnf(refute_0_489,plain,
multiply(X_85,inverse(multiply(X,multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83))))))))) = multiply(X_85,inverse(multiply(X,multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83))))))))),
introduced(tautology,[refl,[$fot(multiply(X_85,inverse(multiply(X,multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83))))))))))]]) ).
cnf(refute_0_490,plain,
( multiply(X_85,inverse(multiply(X,multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83))))))))) != multiply(X_85,inverse(multiply(X,multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))))))
| inverse(multiply(X,multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))))) != inverse(multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83))))))
| multiply(X_85,inverse(multiply(X,multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83))))))))) = multiply(X_85,inverse(multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83))))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_85,inverse(multiply(X,multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83))))))))),multiply(X_85,inverse(multiply(X,multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))))))) ),[1,1],$fot(inverse(multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))))]]) ).
cnf(refute_0_491,plain,
( inverse(multiply(X,multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))))) != inverse(multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83))))))
| multiply(X_85,inverse(multiply(X,multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83))))))))) = multiply(X_85,inverse(multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83))))))) ),
inference(resolve,[$cnf( $equal(multiply(X_85,inverse(multiply(X,multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83))))))))),multiply(X_85,inverse(multiply(X,multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))))))) )],[refute_0_489,refute_0_490]) ).
cnf(refute_0_492,plain,
multiply(X_85,inverse(multiply(X,multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83))))))))) = multiply(X_85,inverse(multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83))))))),
inference(resolve,[$cnf( $equal(inverse(multiply(X,multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))))),inverse(multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83))))))) )],[refute_0_488,refute_0_491]) ).
cnf(refute_0_493,plain,
multiply(inverse(X_78),multiply(X_77,inverse(X_76))) = multiply(X_77,inverse(multiply(X_76,X_78))),
inference(subst,[],[refute_0_200:[bind(X_41,$fot(X_78)),bind(X_71,$fot(X_77)),bind(X_72,$fot(X_76))]]) ).
cnf(refute_0_494,plain,
multiply(multiply(X_77,inverse(X_78)),inverse(X_76)) = multiply(inverse(X_78),multiply(X_77,inverse(X_76))),
inference(subst,[],[refute_0_225:[bind(X_1,$fot(inverse(X_78))),bind(X_77,$fot(X_76)),bind(X_78,$fot(X_77))]]) ).
cnf(refute_0_495,plain,
( multiply(multiply(X_77,inverse(X_78)),inverse(X_76)) != multiply(inverse(X_78),multiply(X_77,inverse(X_76)))
| multiply(inverse(X_78),multiply(X_77,inverse(X_76))) != multiply(X_77,inverse(multiply(X_76,X_78)))
| multiply(multiply(X_77,inverse(X_78)),inverse(X_76)) = multiply(X_77,inverse(multiply(X_76,X_78))) ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(multiply(X_77,inverse(X_78)),inverse(X_76)))),bind(Y0,$fot(multiply(inverse(X_78),multiply(X_77,inverse(X_76))))),bind(Z0,$fot(multiply(X_77,inverse(multiply(X_76,X_78)))))]]) ).
cnf(refute_0_496,plain,
( multiply(inverse(X_78),multiply(X_77,inverse(X_76))) != multiply(X_77,inverse(multiply(X_76,X_78)))
| multiply(multiply(X_77,inverse(X_78)),inverse(X_76)) = multiply(X_77,inverse(multiply(X_76,X_78))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_77,inverse(X_78)),inverse(X_76)),multiply(inverse(X_78),multiply(X_77,inverse(X_76)))) )],[refute_0_494,refute_0_495]) ).
cnf(refute_0_497,plain,
multiply(multiply(X_77,inverse(X_78)),inverse(X_76)) = multiply(X_77,inverse(multiply(X_76,X_78))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_78),multiply(X_77,inverse(X_76))),multiply(X_77,inverse(multiply(X_76,X_78)))) )],[refute_0_493,refute_0_496]) ).
cnf(refute_0_498,plain,
( multiply(multiply(X_77,inverse(X_78)),inverse(X_76)) != multiply(X_77,inverse(multiply(X_76,X_78)))
| multiply(multiply(X_77,inverse(X_78)),inverse(X_76)) != multiply(X_77,inverse(multiply(X_78,X_76)))
| multiply(X_77,inverse(multiply(X_76,X_78))) = multiply(X_77,inverse(multiply(X_78,X_76))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_77,inverse(X_78)),inverse(X_76)),multiply(X_77,inverse(multiply(X_78,X_76)))) ),[0],$fot(multiply(X_77,inverse(multiply(X_76,X_78))))]]) ).
cnf(refute_0_499,plain,
( multiply(multiply(X_77,inverse(X_78)),inverse(X_76)) != multiply(X_77,inverse(multiply(X_78,X_76)))
| multiply(X_77,inverse(multiply(X_76,X_78))) = multiply(X_77,inverse(multiply(X_78,X_76))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_77,inverse(X_78)),inverse(X_76)),multiply(X_77,inverse(multiply(X_76,X_78)))) )],[refute_0_497,refute_0_498]) ).
cnf(refute_0_500,plain,
multiply(X_77,inverse(multiply(X_76,X_78))) = multiply(X_77,inverse(multiply(X_78,X_76))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_77,inverse(X_78)),inverse(X_76)),multiply(X_77,inverse(multiply(X_78,X_76)))) )],[refute_0_231,refute_0_499]) ).
cnf(refute_0_501,plain,
( multiply(X_77,inverse(multiply(X_76,X_78))) != multiply(X_77,inverse(multiply(X_78,X_76)))
| multiply(X_77,inverse(multiply(X_78,X_76))) = multiply(X_77,inverse(multiply(X_76,X_78))) ),
inference(subst,[],[refute_0_67:[bind(X0,$fot(multiply(X_77,inverse(multiply(X_76,X_78))))),bind(Y0,$fot(multiply(X_77,inverse(multiply(X_78,X_76)))))]]) ).
cnf(refute_0_502,plain,
multiply(X_77,inverse(multiply(X_78,X_76))) = multiply(X_77,inverse(multiply(X_76,X_78))),
inference(resolve,[$cnf( $equal(multiply(X_77,inverse(multiply(X_76,X_78))),multiply(X_77,inverse(multiply(X_78,X_76)))) )],[refute_0_500,refute_0_501]) ).
cnf(refute_0_503,plain,
multiply(X_85,inverse(multiply(multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))),X))) = multiply(X_85,inverse(multiply(X,multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83))))))))),
inference(subst,[],[refute_0_502:[bind(X_76,$fot(X)),bind(X_77,$fot(X_85)),bind(X_78,$fot(multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83))))))))]]) ).
cnf(refute_0_504,plain,
( multiply(X_85,inverse(multiply(X,multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83))))))))) != multiply(X_85,inverse(multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))))
| multiply(X_85,inverse(multiply(multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))),X))) != multiply(X_85,inverse(multiply(X,multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))))))
| multiply(X_85,inverse(multiply(multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))),X))) = multiply(X_85,inverse(multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83))))))) ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(X_85,inverse(multiply(multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))),X))))),bind(Y0,$fot(multiply(X_85,inverse(multiply(X,multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83))))))))))),bind(Z0,$fot(multiply(X_85,inverse(multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))))))]]) ).
cnf(refute_0_505,plain,
( multiply(X_85,inverse(multiply(X,multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83))))))))) != multiply(X_85,inverse(multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))))
| multiply(X_85,inverse(multiply(multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))),X))) = multiply(X_85,inverse(multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83))))))) ),
inference(resolve,[$cnf( $equal(multiply(X_85,inverse(multiply(multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))),X))),multiply(X_85,inverse(multiply(X,multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))))))) )],[refute_0_503,refute_0_504]) ).
cnf(refute_0_506,plain,
multiply(X_85,inverse(multiply(multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))),X))) = multiply(X_85,inverse(multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83))))))),
inference(resolve,[$cnf( $equal(multiply(X_85,inverse(multiply(X,multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83))))))))),multiply(X_85,inverse(multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))))) )],[refute_0_492,refute_0_505]) ).
cnf(refute_0_507,plain,
( X_83 != multiply(X_85,inverse(multiply(multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))),X)))
| multiply(X_85,inverse(multiply(multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))),X))) != multiply(X_85,inverse(multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))))
| X_83 = multiply(X_85,inverse(multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_83,multiply(X_85,inverse(multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))))) ),[0],$fot(multiply(X_85,inverse(multiply(multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))),X))))]]) ).
cnf(refute_0_508,plain,
( X_83 != multiply(X_85,inverse(multiply(multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))),X)))
| X_83 = multiply(X_85,inverse(multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83))))))) ),
inference(resolve,[$cnf( $equal(multiply(X_85,inverse(multiply(multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))),X))),multiply(X_85,inverse(multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))))) )],[refute_0_506,refute_0_507]) ).
cnf(refute_0_509,plain,
X_83 = multiply(X_85,inverse(multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83))))))),
inference(resolve,[$cnf( $equal(X_83,multiply(X_85,inverse(multiply(multiply(inverse(X),multiply(X_86,multiply(X_87,multiply(X_85,inverse(multiply(multiply(X_86,X_87),X_83)))))),X)))) )],[refute_0_472,refute_0_508]) ).
cnf(refute_0_510,plain,
X_88 = multiply(X_71,inverse(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))))),
inference(subst,[],[refute_0_509:[bind(X_83,$fot(X_88)),bind(X_85,$fot(X_71)),bind(X_86,$fot(X_90)),bind(X_87,$fot(X_91))]]) ).
cnf(refute_0_511,plain,
( X_88 != multiply(X_71,inverse(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88)))))))
| multiply(X_71,inverse(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))))) = X_88 ),
inference(subst,[],[refute_0_67:[bind(X0,$fot(X_88)),bind(Y0,$fot(multiply(X_71,inverse(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88)))))))))]]) ).
cnf(refute_0_512,plain,
multiply(X_71,inverse(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))))) = X_88,
inference(resolve,[$cnf( $equal(X_88,multiply(X_71,inverse(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88)))))))) )],[refute_0_510,refute_0_511]) ).
cnf(refute_0_513,plain,
( multiply(X_71,inverse(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))))) != X_88
| multiply(inverse(X_41),multiply(X_71,inverse(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88)))))))) != multiply(X_71,inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41)))
| multiply(inverse(X_41),X_88) = multiply(X_71,inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_41),multiply(X_71,inverse(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88)))))))),multiply(X_71,inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41)))) ),[0,1],$fot(X_88)]]) ).
cnf(refute_0_514,plain,
( multiply(inverse(X_41),multiply(X_71,inverse(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88)))))))) != multiply(X_71,inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41)))
| multiply(inverse(X_41),X_88) = multiply(X_71,inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41))) ),
inference(resolve,[$cnf( $equal(multiply(X_71,inverse(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))))),X_88) )],[refute_0_512,refute_0_513]) ).
cnf(refute_0_515,plain,
multiply(inverse(X_41),X_88) = multiply(X_71,inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_41),multiply(X_71,inverse(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88)))))))),multiply(X_71,inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41)))) )],[refute_0_467,refute_0_514]) ).
cnf(refute_0_516,plain,
multiply(multiply(inverse(X_67),X_68),inverse(X_47)) = inverse(multiply(inverse(multiply(inverse(X_67),X_68)),X_47)),
inference(subst,[],[refute_0_157:[bind(X_1,$fot(multiply(inverse(X_67),X_68)))]]) ).
cnf(refute_0_517,plain,
multiply(X_67,inverse(X_68)) = inverse(multiply(inverse(X_67),X_68)),
inference(subst,[],[refute_0_157:[bind(X_1,$fot(X_67)),bind(X_47,$fot(X_68))]]) ).
cnf(refute_0_518,plain,
( multiply(X_67,inverse(X_68)) != inverse(multiply(inverse(X_67),X_68))
| inverse(multiply(inverse(X_67),X_68)) = multiply(X_67,inverse(X_68)) ),
inference(subst,[],[refute_0_67:[bind(X0,$fot(multiply(X_67,inverse(X_68)))),bind(Y0,$fot(inverse(multiply(inverse(X_67),X_68))))]]) ).
cnf(refute_0_519,plain,
inverse(multiply(inverse(X_67),X_68)) = multiply(X_67,inverse(X_68)),
inference(resolve,[$cnf( $equal(multiply(X_67,inverse(X_68)),inverse(multiply(inverse(X_67),X_68))) )],[refute_0_517,refute_0_518]) ).
cnf(refute_0_520,plain,
( multiply(multiply(inverse(X_67),X_68),inverse(X_47)) != inverse(multiply(inverse(multiply(inverse(X_67),X_68)),X_47))
| inverse(multiply(inverse(X_67),X_68)) != multiply(X_67,inverse(X_68))
| multiply(multiply(inverse(X_67),X_68),inverse(X_47)) = inverse(multiply(multiply(X_67,inverse(X_68)),X_47)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_67),X_68),inverse(X_47)),inverse(multiply(inverse(multiply(inverse(X_67),X_68)),X_47))) ),[1,0,0],$fot(multiply(X_67,inverse(X_68)))]]) ).
cnf(refute_0_521,plain,
( multiply(multiply(inverse(X_67),X_68),inverse(X_47)) != inverse(multiply(inverse(multiply(inverse(X_67),X_68)),X_47))
| multiply(multiply(inverse(X_67),X_68),inverse(X_47)) = inverse(multiply(multiply(X_67,inverse(X_68)),X_47)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_67),X_68)),multiply(X_67,inverse(X_68))) )],[refute_0_519,refute_0_520]) ).
cnf(refute_0_522,plain,
multiply(multiply(inverse(X_67),X_68),inverse(X_47)) = inverse(multiply(multiply(X_67,inverse(X_68)),X_47)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_67),X_68),inverse(X_47)),inverse(multiply(inverse(multiply(inverse(X_67),X_68)),X_47))) )],[refute_0_516,refute_0_521]) ).
cnf(refute_0_523,plain,
multiply(multiply(inverse(X_66),X_64),inverse(multiply(multiply(inverse(X_66),X_64),multiply(X_65,multiply(X_66,inverse(X_64)))))) = inverse(multiply(X_65,multiply(X_66,inverse(X_64)))),
inference(subst,[],[refute_0_142:[bind(X_1,$fot(multiply(inverse(X_66),X_64))),bind(X_41,$fot(multiply(X_65,multiply(X_66,inverse(X_64)))))]]) ).
cnf(refute_0_524,plain,
multiply(inverse(X_60),X_58) = multiply(X_58,inverse(X_60)),
inference(subst,[],[refute_0_73:[bind(X,$fot(inverse(X_60))),bind(X_1,$fot(X_58))]]) ).
cnf(refute_0_525,plain,
( multiply(inverse(X_60),X_58) != multiply(X_58,inverse(X_60))
| multiply(X_58,inverse(X_60)) = multiply(inverse(X_60),X_58) ),
inference(subst,[],[refute_0_67:[bind(X0,$fot(multiply(inverse(X_60),X_58))),bind(Y0,$fot(multiply(X_58,inverse(X_60))))]]) ).
cnf(refute_0_526,plain,
multiply(X_58,inverse(X_60)) = multiply(inverse(X_60),X_58),
inference(resolve,[$cnf( $equal(multiply(inverse(X_60),X_58),multiply(X_58,inverse(X_60))) )],[refute_0_524,refute_0_525]) ).
cnf(refute_0_527,plain,
( multiply(X_58,inverse(X_60)) != multiply(inverse(X_60),X_58)
| multiply(multiply(X_58,inverse(X_60)),multiply(X_59,multiply(X_60,inverse(X_58)))) != X_59
| multiply(multiply(inverse(X_60),X_58),multiply(X_59,multiply(X_60,inverse(X_58)))) = X_59 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_58,inverse(X_60)),multiply(X_59,multiply(X_60,inverse(X_58)))),X_59) ),[0,0],$fot(multiply(inverse(X_60),X_58))]]) ).
cnf(refute_0_528,plain,
( multiply(multiply(X_58,inverse(X_60)),multiply(X_59,multiply(X_60,inverse(X_58)))) != X_59
| multiply(multiply(inverse(X_60),X_58),multiply(X_59,multiply(X_60,inverse(X_58)))) = X_59 ),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(X_60)),multiply(inverse(X_60),X_58)) )],[refute_0_526,refute_0_527]) ).
cnf(refute_0_529,plain,
multiply(multiply(inverse(X_60),X_58),multiply(X_59,multiply(X_60,inverse(X_58)))) = X_59,
inference(resolve,[$cnf( $equal(multiply(multiply(X_58,inverse(X_60)),multiply(X_59,multiply(X_60,inverse(X_58)))),X_59) )],[refute_0_434,refute_0_528]) ).
cnf(refute_0_530,plain,
multiply(multiply(inverse(X_66),X_64),multiply(X_65,multiply(X_66,inverse(X_64)))) = X_65,
inference(subst,[],[refute_0_529:[bind(X_58,$fot(X_64)),bind(X_59,$fot(X_65)),bind(X_60,$fot(X_66))]]) ).
cnf(refute_0_531,plain,
( multiply(multiply(inverse(X_66),X_64),multiply(X_65,multiply(X_66,inverse(X_64)))) != X_65
| multiply(multiply(inverse(X_66),X_64),inverse(multiply(multiply(inverse(X_66),X_64),multiply(X_65,multiply(X_66,inverse(X_64)))))) != inverse(multiply(X_65,multiply(X_66,inverse(X_64))))
| multiply(multiply(inverse(X_66),X_64),inverse(X_65)) = inverse(multiply(X_65,multiply(X_66,inverse(X_64)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_66),X_64),inverse(multiply(multiply(inverse(X_66),X_64),multiply(X_65,multiply(X_66,inverse(X_64)))))),inverse(multiply(X_65,multiply(X_66,inverse(X_64))))) ),[0,1,0],$fot(X_65)]]) ).
cnf(refute_0_532,plain,
( multiply(multiply(inverse(X_66),X_64),inverse(multiply(multiply(inverse(X_66),X_64),multiply(X_65,multiply(X_66,inverse(X_64)))))) != inverse(multiply(X_65,multiply(X_66,inverse(X_64))))
| multiply(multiply(inverse(X_66),X_64),inverse(X_65)) = inverse(multiply(X_65,multiply(X_66,inverse(X_64)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_66),X_64),multiply(X_65,multiply(X_66,inverse(X_64)))),X_65) )],[refute_0_530,refute_0_531]) ).
cnf(refute_0_533,plain,
multiply(multiply(inverse(X_66),X_64),inverse(X_65)) = inverse(multiply(X_65,multiply(X_66,inverse(X_64)))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_66),X_64),inverse(multiply(multiply(inverse(X_66),X_64),multiply(X_65,multiply(X_66,inverse(X_64)))))),inverse(multiply(X_65,multiply(X_66,inverse(X_64))))) )],[refute_0_523,refute_0_532]) ).
cnf(refute_0_534,plain,
multiply(multiply(inverse(X_67),X_68),inverse(X_47)) = inverse(multiply(X_47,multiply(X_67,inverse(X_68)))),
inference(subst,[],[refute_0_533:[bind(X_64,$fot(X_68)),bind(X_65,$fot(X_47)),bind(X_66,$fot(X_67))]]) ).
cnf(refute_0_535,plain,
( multiply(multiply(inverse(X_67),X_68),inverse(X_47)) != inverse(multiply(X_47,multiply(X_67,inverse(X_68))))
| multiply(multiply(inverse(X_67),X_68),inverse(X_47)) != inverse(multiply(multiply(X_67,inverse(X_68)),X_47))
| inverse(multiply(X_47,multiply(X_67,inverse(X_68)))) = inverse(multiply(multiply(X_67,inverse(X_68)),X_47)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_67),X_68),inverse(X_47)),inverse(multiply(multiply(X_67,inverse(X_68)),X_47))) ),[0],$fot(inverse(multiply(X_47,multiply(X_67,inverse(X_68)))))]]) ).
cnf(refute_0_536,plain,
( multiply(multiply(inverse(X_67),X_68),inverse(X_47)) != inverse(multiply(multiply(X_67,inverse(X_68)),X_47))
| inverse(multiply(X_47,multiply(X_67,inverse(X_68)))) = inverse(multiply(multiply(X_67,inverse(X_68)),X_47)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_67),X_68),inverse(X_47)),inverse(multiply(X_47,multiply(X_67,inverse(X_68))))) )],[refute_0_534,refute_0_535]) ).
cnf(refute_0_537,plain,
inverse(multiply(X_47,multiply(X_67,inverse(X_68)))) = inverse(multiply(multiply(X_67,inverse(X_68)),X_47)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_67),X_68),inverse(X_47)),inverse(multiply(multiply(X_67,inverse(X_68)),X_47))) )],[refute_0_522,refute_0_536]) ).
cnf(refute_0_538,plain,
inverse(multiply(X_47,multiply(X_67,inverse(X_68)))) = multiply(X_68,inverse(multiply(X_67,X_47))),
inference(subst,[],[refute_0_242:[bind(X_76,$fot(X_47)),bind(X_77,$fot(X_68)),bind(X_78,$fot(X_67))]]) ).
cnf(refute_0_539,plain,
( inverse(multiply(X_47,multiply(X_67,inverse(X_68)))) != multiply(X_68,inverse(multiply(X_67,X_47)))
| inverse(multiply(X_47,multiply(X_67,inverse(X_68)))) != inverse(multiply(multiply(X_67,inverse(X_68)),X_47))
| multiply(X_68,inverse(multiply(X_67,X_47))) = inverse(multiply(multiply(X_67,inverse(X_68)),X_47)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_47,multiply(X_67,inverse(X_68)))),inverse(multiply(multiply(X_67,inverse(X_68)),X_47))) ),[0],$fot(multiply(X_68,inverse(multiply(X_67,X_47))))]]) ).
cnf(refute_0_540,plain,
( inverse(multiply(X_47,multiply(X_67,inverse(X_68)))) != inverse(multiply(multiply(X_67,inverse(X_68)),X_47))
| multiply(X_68,inverse(multiply(X_67,X_47))) = inverse(multiply(multiply(X_67,inverse(X_68)),X_47)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_47,multiply(X_67,inverse(X_68)))),multiply(X_68,inverse(multiply(X_67,X_47)))) )],[refute_0_538,refute_0_539]) ).
cnf(refute_0_541,plain,
multiply(X_68,inverse(multiply(X_67,X_47))) = inverse(multiply(multiply(X_67,inverse(X_68)),X_47)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_47,multiply(X_67,inverse(X_68)))),inverse(multiply(multiply(X_67,inverse(X_68)),X_47))) )],[refute_0_537,refute_0_540]) ).
cnf(refute_0_542,plain,
( multiply(X_68,inverse(multiply(X_67,X_47))) != inverse(multiply(multiply(X_67,inverse(X_68)),X_47))
| inverse(multiply(multiply(X_67,inverse(X_68)),X_47)) = multiply(X_68,inverse(multiply(X_67,X_47))) ),
inference(subst,[],[refute_0_67:[bind(X0,$fot(multiply(X_68,inverse(multiply(X_67,X_47))))),bind(Y0,$fot(inverse(multiply(multiply(X_67,inverse(X_68)),X_47))))]]) ).
cnf(refute_0_543,plain,
inverse(multiply(multiply(X_67,inverse(X_68)),X_47)) = multiply(X_68,inverse(multiply(X_67,X_47))),
inference(resolve,[$cnf( $equal(multiply(X_68,inverse(multiply(X_67,X_47))),inverse(multiply(multiply(X_67,inverse(X_68)),X_47))) )],[refute_0_541,refute_0_542]) ).
cnf(refute_0_544,plain,
inverse(multiply(multiply(X_71,inverse(X_88)),X_41)) = multiply(X_88,inverse(multiply(X_71,X_41))),
inference(subst,[],[refute_0_543:[bind(X_47,$fot(X_41)),bind(X_67,$fot(X_71)),bind(X_68,$fot(X_88))]]) ).
cnf(refute_0_545,plain,
multiply(X_1,inverse(multiply(X_1,inverse(multiply(X_90,multiply(X_91,multiply(X_1,inverse(multiply(multiply(X_90,X_91),X_88))))))))) = inverse(inverse(multiply(X_90,multiply(X_91,multiply(X_1,inverse(multiply(multiply(X_90,X_91),X_88))))))),
inference(subst,[],[refute_0_142:[bind(X_41,$fot(inverse(multiply(X_90,multiply(X_91,multiply(X_1,inverse(multiply(multiply(X_90,X_91),X_88))))))))]]) ).
cnf(refute_0_546,plain,
X_88 = multiply(X_1,inverse(multiply(X_90,multiply(X_91,multiply(X_1,inverse(multiply(multiply(X_90,X_91),X_88))))))),
inference(subst,[],[refute_0_509:[bind(X_83,$fot(X_88)),bind(X_85,$fot(X_1)),bind(X_86,$fot(X_90)),bind(X_87,$fot(X_91))]]) ).
cnf(refute_0_547,plain,
( X_88 != multiply(X_1,inverse(multiply(X_90,multiply(X_91,multiply(X_1,inverse(multiply(multiply(X_90,X_91),X_88)))))))
| multiply(X_1,inverse(multiply(X_90,multiply(X_91,multiply(X_1,inverse(multiply(multiply(X_90,X_91),X_88))))))) = X_88 ),
inference(subst,[],[refute_0_67:[bind(X0,$fot(X_88)),bind(Y0,$fot(multiply(X_1,inverse(multiply(X_90,multiply(X_91,multiply(X_1,inverse(multiply(multiply(X_90,X_91),X_88)))))))))]]) ).
cnf(refute_0_548,plain,
multiply(X_1,inverse(multiply(X_90,multiply(X_91,multiply(X_1,inverse(multiply(multiply(X_90,X_91),X_88))))))) = X_88,
inference(resolve,[$cnf( $equal(X_88,multiply(X_1,inverse(multiply(X_90,multiply(X_91,multiply(X_1,inverse(multiply(multiply(X_90,X_91),X_88)))))))) )],[refute_0_546,refute_0_547]) ).
cnf(refute_0_549,plain,
( multiply(X_1,inverse(multiply(X_1,inverse(multiply(X_90,multiply(X_91,multiply(X_1,inverse(multiply(multiply(X_90,X_91),X_88))))))))) != inverse(inverse(multiply(X_90,multiply(X_91,multiply(X_1,inverse(multiply(multiply(X_90,X_91),X_88)))))))
| multiply(X_1,inverse(multiply(X_90,multiply(X_91,multiply(X_1,inverse(multiply(multiply(X_90,X_91),X_88))))))) != X_88
| multiply(X_1,inverse(X_88)) = inverse(inverse(multiply(X_90,multiply(X_91,multiply(X_1,inverse(multiply(multiply(X_90,X_91),X_88))))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_1,inverse(multiply(X_1,inverse(multiply(X_90,multiply(X_91,multiply(X_1,inverse(multiply(multiply(X_90,X_91),X_88))))))))),inverse(inverse(multiply(X_90,multiply(X_91,multiply(X_1,inverse(multiply(multiply(X_90,X_91),X_88)))))))) ),[0,1,0],$fot(X_88)]]) ).
cnf(refute_0_550,plain,
( multiply(X_1,inverse(multiply(X_1,inverse(multiply(X_90,multiply(X_91,multiply(X_1,inverse(multiply(multiply(X_90,X_91),X_88))))))))) != inverse(inverse(multiply(X_90,multiply(X_91,multiply(X_1,inverse(multiply(multiply(X_90,X_91),X_88)))))))
| multiply(X_1,inverse(X_88)) = inverse(inverse(multiply(X_90,multiply(X_91,multiply(X_1,inverse(multiply(multiply(X_90,X_91),X_88))))))) ),
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(multiply(X_90,multiply(X_91,multiply(X_1,inverse(multiply(multiply(X_90,X_91),X_88))))))),X_88) )],[refute_0_548,refute_0_549]) ).
cnf(refute_0_551,plain,
multiply(X_1,inverse(X_88)) = inverse(inverse(multiply(X_90,multiply(X_91,multiply(X_1,inverse(multiply(multiply(X_90,X_91),X_88))))))),
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(multiply(X_1,inverse(multiply(X_90,multiply(X_91,multiply(X_1,inverse(multiply(multiply(X_90,X_91),X_88))))))))),inverse(inverse(multiply(X_90,multiply(X_91,multiply(X_1,inverse(multiply(multiply(X_90,X_91),X_88)))))))) )],[refute_0_545,refute_0_550]) ).
cnf(refute_0_552,plain,
inverse(inverse(multiply(X_90,multiply(X_91,multiply(X_1,inverse(multiply(multiply(X_90,X_91),X_88))))))) = multiply(X_90,multiply(X_91,multiply(X_1,inverse(multiply(multiply(X_90,X_91),X_88))))),
inference(subst,[],[refute_0_294:[bind(X_39,$fot(multiply(X_90,multiply(X_91,multiply(X_1,inverse(multiply(multiply(X_90,X_91),X_88)))))))]]) ).
cnf(refute_0_553,plain,
( multiply(X_1,inverse(X_88)) != inverse(inverse(multiply(X_90,multiply(X_91,multiply(X_1,inverse(multiply(multiply(X_90,X_91),X_88)))))))
| inverse(inverse(multiply(X_90,multiply(X_91,multiply(X_1,inverse(multiply(multiply(X_90,X_91),X_88))))))) != multiply(X_90,multiply(X_91,multiply(X_1,inverse(multiply(multiply(X_90,X_91),X_88)))))
| multiply(X_1,inverse(X_88)) = multiply(X_90,multiply(X_91,multiply(X_1,inverse(multiply(multiply(X_90,X_91),X_88))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_1,inverse(X_88)),multiply(X_90,multiply(X_91,multiply(X_1,inverse(multiply(multiply(X_90,X_91),X_88)))))) ),[0],$fot(inverse(inverse(multiply(X_90,multiply(X_91,multiply(X_1,inverse(multiply(multiply(X_90,X_91),X_88))))))))]]) ).
cnf(refute_0_554,plain,
( multiply(X_1,inverse(X_88)) != inverse(inverse(multiply(X_90,multiply(X_91,multiply(X_1,inverse(multiply(multiply(X_90,X_91),X_88)))))))
| multiply(X_1,inverse(X_88)) = multiply(X_90,multiply(X_91,multiply(X_1,inverse(multiply(multiply(X_90,X_91),X_88))))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_90,multiply(X_91,multiply(X_1,inverse(multiply(multiply(X_90,X_91),X_88))))))),multiply(X_90,multiply(X_91,multiply(X_1,inverse(multiply(multiply(X_90,X_91),X_88)))))) )],[refute_0_552,refute_0_553]) ).
cnf(refute_0_555,plain,
multiply(X_1,inverse(X_88)) = multiply(X_90,multiply(X_91,multiply(X_1,inverse(multiply(multiply(X_90,X_91),X_88))))),
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(X_88)),inverse(inverse(multiply(X_90,multiply(X_91,multiply(X_1,inverse(multiply(multiply(X_90,X_91),X_88)))))))) )],[refute_0_551,refute_0_554]) ).
cnf(refute_0_556,plain,
( multiply(X_1,inverse(X_88)) != multiply(X_90,multiply(X_91,multiply(X_1,inverse(multiply(multiply(X_90,X_91),X_88)))))
| multiply(X_90,multiply(X_91,multiply(X_1,inverse(multiply(multiply(X_90,X_91),X_88))))) = multiply(X_1,inverse(X_88)) ),
inference(subst,[],[refute_0_67:[bind(X0,$fot(multiply(X_1,inverse(X_88)))),bind(Y0,$fot(multiply(X_90,multiply(X_91,multiply(X_1,inverse(multiply(multiply(X_90,X_91),X_88)))))))]]) ).
cnf(refute_0_557,plain,
multiply(X_90,multiply(X_91,multiply(X_1,inverse(multiply(multiply(X_90,X_91),X_88))))) = multiply(X_1,inverse(X_88)),
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(X_88)),multiply(X_90,multiply(X_91,multiply(X_1,inverse(multiply(multiply(X_90,X_91),X_88)))))) )],[refute_0_555,refute_0_556]) ).
cnf(refute_0_558,plain,
multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))) = multiply(X_71,inverse(X_88)),
inference(subst,[],[refute_0_557:[bind(X_1,$fot(X_71))]]) ).
cnf(refute_0_559,plain,
multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41) = multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41),
introduced(tautology,[refl,[$fot(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41))]]) ).
cnf(refute_0_560,plain,
( multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))) != multiply(X_71,inverse(X_88))
| multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41) != multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41)
| multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41) = multiply(multiply(X_71,inverse(X_88)),X_41) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41),multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41)) ),[1,0],$fot(multiply(X_71,inverse(X_88)))]]) ).
cnf(refute_0_561,plain,
( multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))) != multiply(X_71,inverse(X_88))
| multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41) = multiply(multiply(X_71,inverse(X_88)),X_41) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41),multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41)) )],[refute_0_559,refute_0_560]) ).
cnf(refute_0_562,plain,
multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41) = multiply(multiply(X_71,inverse(X_88)),X_41),
inference(resolve,[$cnf( $equal(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),multiply(X_71,inverse(X_88))) )],[refute_0_558,refute_0_561]) ).
cnf(refute_0_563,plain,
inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41)) = inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41)),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41)))]]) ).
cnf(refute_0_564,plain,
( multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41) != multiply(multiply(X_71,inverse(X_88)),X_41)
| inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41)) != inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41))
| inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41)) = inverse(multiply(multiply(X_71,inverse(X_88)),X_41)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41)),inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41))) ),[1,0],$fot(multiply(multiply(X_71,inverse(X_88)),X_41))]]) ).
cnf(refute_0_565,plain,
( multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41) != multiply(multiply(X_71,inverse(X_88)),X_41)
| inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41)) = inverse(multiply(multiply(X_71,inverse(X_88)),X_41)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41)),inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41))) )],[refute_0_563,refute_0_564]) ).
cnf(refute_0_566,plain,
inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41)) = inverse(multiply(multiply(X_71,inverse(X_88)),X_41)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41),multiply(multiply(X_71,inverse(X_88)),X_41)) )],[refute_0_562,refute_0_565]) ).
cnf(refute_0_567,plain,
( inverse(multiply(multiply(X_71,inverse(X_88)),X_41)) != multiply(X_88,inverse(multiply(X_71,X_41)))
| inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41)) != inverse(multiply(multiply(X_71,inverse(X_88)),X_41))
| inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41)) = multiply(X_88,inverse(multiply(X_71,X_41))) ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41)))),bind(Y0,$fot(inverse(multiply(multiply(X_71,inverse(X_88)),X_41)))),bind(Z0,$fot(multiply(X_88,inverse(multiply(X_71,X_41)))))]]) ).
cnf(refute_0_568,plain,
( inverse(multiply(multiply(X_71,inverse(X_88)),X_41)) != multiply(X_88,inverse(multiply(X_71,X_41)))
| inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41)) = multiply(X_88,inverse(multiply(X_71,X_41))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41)),inverse(multiply(multiply(X_71,inverse(X_88)),X_41))) )],[refute_0_566,refute_0_567]) ).
cnf(refute_0_569,plain,
inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41)) = multiply(X_88,inverse(multiply(X_71,X_41))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_71,inverse(X_88)),X_41)),multiply(X_88,inverse(multiply(X_71,X_41)))) )],[refute_0_544,refute_0_568]) ).
cnf(refute_0_570,plain,
multiply(X_71,inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41))) = multiply(X_71,inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41))),
introduced(tautology,[refl,[$fot(multiply(X_71,inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41))))]]) ).
cnf(refute_0_571,plain,
( multiply(X_71,inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41))) != multiply(X_71,inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41)))
| inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41)) != multiply(X_88,inverse(multiply(X_71,X_41)))
| multiply(X_71,inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41))) = multiply(X_71,multiply(X_88,inverse(multiply(X_71,X_41)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_71,inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41))),multiply(X_71,inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41)))) ),[1,1],$fot(multiply(X_88,inverse(multiply(X_71,X_41))))]]) ).
cnf(refute_0_572,plain,
( inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41)) != multiply(X_88,inverse(multiply(X_71,X_41)))
| multiply(X_71,inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41))) = multiply(X_71,multiply(X_88,inverse(multiply(X_71,X_41)))) ),
inference(resolve,[$cnf( $equal(multiply(X_71,inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41))),multiply(X_71,inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41)))) )],[refute_0_570,refute_0_571]) ).
cnf(refute_0_573,plain,
multiply(X_71,inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41))) = multiply(X_71,multiply(X_88,inverse(multiply(X_71,X_41)))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41)),multiply(X_88,inverse(multiply(X_71,X_41)))) )],[refute_0_569,refute_0_572]) ).
cnf(refute_0_574,plain,
( multiply(X_71,inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41))) != multiply(X_71,multiply(X_88,inverse(multiply(X_71,X_41))))
| multiply(inverse(X_41),X_88) != multiply(X_71,inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41)))
| multiply(inverse(X_41),X_88) = multiply(X_71,multiply(X_88,inverse(multiply(X_71,X_41)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_41),X_88),multiply(X_71,inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41)))) ),[1],$fot(multiply(X_71,multiply(X_88,inverse(multiply(X_71,X_41)))))]]) ).
cnf(refute_0_575,plain,
( multiply(inverse(X_41),X_88) != multiply(X_71,inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41)))
| multiply(inverse(X_41),X_88) = multiply(X_71,multiply(X_88,inverse(multiply(X_71,X_41)))) ),
inference(resolve,[$cnf( $equal(multiply(X_71,inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41))),multiply(X_71,multiply(X_88,inverse(multiply(X_71,X_41))))) )],[refute_0_573,refute_0_574]) ).
cnf(refute_0_576,plain,
multiply(inverse(X_41),X_88) = multiply(X_71,multiply(X_88,inverse(multiply(X_71,X_41)))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_41),X_88),multiply(X_71,inverse(multiply(multiply(X_90,multiply(X_91,multiply(X_71,inverse(multiply(multiply(X_90,X_91),X_88))))),X_41)))) )],[refute_0_515,refute_0_575]) ).
cnf(refute_0_577,plain,
( multiply(inverse(X_41),X_88) != multiply(X_71,multiply(X_88,inverse(multiply(X_71,X_41))))
| multiply(X_71,multiply(X_88,inverse(multiply(X_71,X_41)))) = multiply(inverse(X_41),X_88) ),
inference(subst,[],[refute_0_67:[bind(X0,$fot(multiply(inverse(X_41),X_88))),bind(Y0,$fot(multiply(X_71,multiply(X_88,inverse(multiply(X_71,X_41))))))]]) ).
cnf(refute_0_578,plain,
multiply(X_71,multiply(X_88,inverse(multiply(X_71,X_41)))) = multiply(inverse(X_41),X_88),
inference(resolve,[$cnf( $equal(multiply(inverse(X_41),X_88),multiply(X_71,multiply(X_88,inverse(multiply(X_71,X_41))))) )],[refute_0_576,refute_0_577]) ).
cnf(refute_0_579,plain,
multiply(Y,multiply(X_57,inverse(multiply(Y,X_54)))) = multiply(inverse(X_54),X_57),
inference(subst,[],[refute_0_578:[bind(X_41,$fot(X_54)),bind(X_71,$fot(Y)),bind(X_88,$fot(X_57))]]) ).
cnf(refute_0_580,plain,
multiply(X_55,multiply(Y,multiply(X_57,inverse(multiply(Y,X_54))))) = multiply(X_55,multiply(Y,multiply(X_57,inverse(multiply(Y,X_54))))),
introduced(tautology,[refl,[$fot(multiply(X_55,multiply(Y,multiply(X_57,inverse(multiply(Y,X_54))))))]]) ).
cnf(refute_0_581,plain,
( multiply(Y,multiply(X_57,inverse(multiply(Y,X_54)))) != multiply(inverse(X_54),X_57)
| multiply(X_55,multiply(Y,multiply(X_57,inverse(multiply(Y,X_54))))) != multiply(X_55,multiply(Y,multiply(X_57,inverse(multiply(Y,X_54)))))
| multiply(X_55,multiply(Y,multiply(X_57,inverse(multiply(Y,X_54))))) = multiply(X_55,multiply(inverse(X_54),X_57)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_55,multiply(Y,multiply(X_57,inverse(multiply(Y,X_54))))),multiply(X_55,multiply(Y,multiply(X_57,inverse(multiply(Y,X_54)))))) ),[1,1],$fot(multiply(inverse(X_54),X_57))]]) ).
cnf(refute_0_582,plain,
( multiply(Y,multiply(X_57,inverse(multiply(Y,X_54)))) != multiply(inverse(X_54),X_57)
| multiply(X_55,multiply(Y,multiply(X_57,inverse(multiply(Y,X_54))))) = multiply(X_55,multiply(inverse(X_54),X_57)) ),
inference(resolve,[$cnf( $equal(multiply(X_55,multiply(Y,multiply(X_57,inverse(multiply(Y,X_54))))),multiply(X_55,multiply(Y,multiply(X_57,inverse(multiply(Y,X_54)))))) )],[refute_0_580,refute_0_581]) ).
cnf(refute_0_583,plain,
multiply(X_55,multiply(Y,multiply(X_57,inverse(multiply(Y,X_54))))) = multiply(X_55,multiply(inverse(X_54),X_57)),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(X_57,inverse(multiply(Y,X_54)))),multiply(inverse(X_54),X_57)) )],[refute_0_579,refute_0_582]) ).
cnf(refute_0_584,plain,
( multiply(X_55,multiply(Y,multiply(X_57,inverse(multiply(Y,X_54))))) != multiply(X_55,multiply(inverse(X_54),X_57))
| multiply(X_55,multiply(X_57,inverse(X_54))) != multiply(X_55,multiply(Y,multiply(X_57,inverse(multiply(Y,X_54)))))
| multiply(X_55,multiply(X_57,inverse(X_54))) = multiply(X_55,multiply(inverse(X_54),X_57)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_55,multiply(X_57,inverse(X_54))),multiply(X_55,multiply(Y,multiply(X_57,inverse(multiply(Y,X_54)))))) ),[1],$fot(multiply(X_55,multiply(inverse(X_54),X_57)))]]) ).
cnf(refute_0_585,plain,
( multiply(X_55,multiply(X_57,inverse(X_54))) != multiply(X_55,multiply(Y,multiply(X_57,inverse(multiply(Y,X_54)))))
| multiply(X_55,multiply(X_57,inverse(X_54))) = multiply(X_55,multiply(inverse(X_54),X_57)) ),
inference(resolve,[$cnf( $equal(multiply(X_55,multiply(Y,multiply(X_57,inverse(multiply(Y,X_54))))),multiply(X_55,multiply(inverse(X_54),X_57))) )],[refute_0_583,refute_0_584]) ).
cnf(refute_0_586,plain,
multiply(X_55,multiply(X_57,inverse(X_54))) = multiply(X_55,multiply(inverse(X_54),X_57)),
inference(resolve,[$cnf( $equal(multiply(X_55,multiply(X_57,inverse(X_54))),multiply(X_55,multiply(Y,multiply(X_57,inverse(multiply(Y,X_54)))))) )],[refute_0_466,refute_0_585]) ).
cnf(refute_0_587,plain,
multiply(X_95,multiply(multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1),inverse(X_94))) = multiply(X_95,multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))),
inference(subst,[],[refute_0_586:[bind(X_54,$fot(X_94)),bind(X_55,$fot(X_95)),bind(X_57,$fot(multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)))]]) ).
cnf(refute_0_588,plain,
multiply(multiply(X_80,X_79),inverse(multiply(multiply(X_80,X_79),multiply(X_81,inverse(multiply(X_79,X_80)))))) = inverse(multiply(X_81,inverse(multiply(X_79,X_80)))),
inference(subst,[],[refute_0_142:[bind(X_1,$fot(multiply(X_80,X_79))),bind(X_41,$fot(multiply(X_81,inverse(multiply(X_79,X_80)))))]]) ).
cnf(refute_0_589,plain,
multiply(multiply(X_61,inverse(inverse(X_39))),multiply(X_62,multiply(inverse(X_61),inverse(X_39)))) = X_62,
inference(subst,[],[refute_0_440:[bind(X_58,$fot(X_61)),bind(X_59,$fot(X_62)),bind(X_60,$fot(inverse(X_39)))]]) ).
cnf(refute_0_590,plain,
( multiply(multiply(X_61,inverse(inverse(X_39))),multiply(X_62,multiply(inverse(X_61),inverse(X_39)))) != X_62
| inverse(inverse(X_39)) != X_39
| multiply(multiply(X_61,X_39),multiply(X_62,multiply(inverse(X_61),inverse(X_39)))) = X_62 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_61,inverse(inverse(X_39))),multiply(X_62,multiply(inverse(X_61),inverse(X_39)))),X_62) ),[0,0,1],$fot(X_39)]]) ).
cnf(refute_0_591,plain,
( multiply(multiply(X_61,inverse(inverse(X_39))),multiply(X_62,multiply(inverse(X_61),inverse(X_39)))) != X_62
| multiply(multiply(X_61,X_39),multiply(X_62,multiply(inverse(X_61),inverse(X_39)))) = X_62 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_39)),X_39) )],[refute_0_294,refute_0_590]) ).
cnf(refute_0_592,plain,
multiply(multiply(X_61,X_39),multiply(X_62,multiply(inverse(X_61),inverse(X_39)))) = X_62,
inference(resolve,[$cnf( $equal(multiply(multiply(X_61,inverse(inverse(X_39))),multiply(X_62,multiply(inverse(X_61),inverse(X_39)))),X_62) )],[refute_0_589,refute_0_591]) ).
cnf(refute_0_593,plain,
multiply(inverse(X_61),inverse(X_39)) = inverse(multiply(X_39,X_61)),
inference(subst,[],[refute_0_297:[bind(X_39,$fot(X_61)),bind(X_50,$fot(X_39))]]) ).
cnf(refute_0_594,plain,
multiply(X_62,multiply(inverse(X_61),inverse(X_39))) = multiply(X_62,multiply(inverse(X_61),inverse(X_39))),
introduced(tautology,[refl,[$fot(multiply(X_62,multiply(inverse(X_61),inverse(X_39))))]]) ).
cnf(refute_0_595,plain,
( multiply(X_62,multiply(inverse(X_61),inverse(X_39))) != multiply(X_62,multiply(inverse(X_61),inverse(X_39)))
| multiply(inverse(X_61),inverse(X_39)) != inverse(multiply(X_39,X_61))
| multiply(X_62,multiply(inverse(X_61),inverse(X_39))) = multiply(X_62,inverse(multiply(X_39,X_61))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_62,multiply(inverse(X_61),inverse(X_39))),multiply(X_62,multiply(inverse(X_61),inverse(X_39)))) ),[1,1],$fot(inverse(multiply(X_39,X_61)))]]) ).
cnf(refute_0_596,plain,
( multiply(inverse(X_61),inverse(X_39)) != inverse(multiply(X_39,X_61))
| multiply(X_62,multiply(inverse(X_61),inverse(X_39))) = multiply(X_62,inverse(multiply(X_39,X_61))) ),
inference(resolve,[$cnf( $equal(multiply(X_62,multiply(inverse(X_61),inverse(X_39))),multiply(X_62,multiply(inverse(X_61),inverse(X_39)))) )],[refute_0_594,refute_0_595]) ).
cnf(refute_0_597,plain,
multiply(X_62,multiply(inverse(X_61),inverse(X_39))) = multiply(X_62,inverse(multiply(X_39,X_61))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_61),inverse(X_39)),inverse(multiply(X_39,X_61))) )],[refute_0_593,refute_0_596]) ).
cnf(refute_0_598,plain,
multiply(multiply(X_61,X_39),multiply(X_62,multiply(inverse(X_61),inverse(X_39)))) = multiply(multiply(X_61,X_39),multiply(X_62,multiply(inverse(X_61),inverse(X_39)))),
introduced(tautology,[refl,[$fot(multiply(multiply(X_61,X_39),multiply(X_62,multiply(inverse(X_61),inverse(X_39)))))]]) ).
cnf(refute_0_599,plain,
( multiply(X_62,multiply(inverse(X_61),inverse(X_39))) != multiply(X_62,inverse(multiply(X_39,X_61)))
| multiply(multiply(X_61,X_39),multiply(X_62,multiply(inverse(X_61),inverse(X_39)))) != multiply(multiply(X_61,X_39),multiply(X_62,multiply(inverse(X_61),inverse(X_39))))
| multiply(multiply(X_61,X_39),multiply(X_62,multiply(inverse(X_61),inverse(X_39)))) = multiply(multiply(X_61,X_39),multiply(X_62,inverse(multiply(X_39,X_61)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_61,X_39),multiply(X_62,multiply(inverse(X_61),inverse(X_39)))),multiply(multiply(X_61,X_39),multiply(X_62,multiply(inverse(X_61),inverse(X_39))))) ),[1,1],$fot(multiply(X_62,inverse(multiply(X_39,X_61))))]]) ).
cnf(refute_0_600,plain,
( multiply(X_62,multiply(inverse(X_61),inverse(X_39))) != multiply(X_62,inverse(multiply(X_39,X_61)))
| multiply(multiply(X_61,X_39),multiply(X_62,multiply(inverse(X_61),inverse(X_39)))) = multiply(multiply(X_61,X_39),multiply(X_62,inverse(multiply(X_39,X_61)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_61,X_39),multiply(X_62,multiply(inverse(X_61),inverse(X_39)))),multiply(multiply(X_61,X_39),multiply(X_62,multiply(inverse(X_61),inverse(X_39))))) )],[refute_0_598,refute_0_599]) ).
cnf(refute_0_601,plain,
multiply(multiply(X_61,X_39),multiply(X_62,multiply(inverse(X_61),inverse(X_39)))) = multiply(multiply(X_61,X_39),multiply(X_62,inverse(multiply(X_39,X_61)))),
inference(resolve,[$cnf( $equal(multiply(X_62,multiply(inverse(X_61),inverse(X_39))),multiply(X_62,inverse(multiply(X_39,X_61)))) )],[refute_0_597,refute_0_600]) ).
cnf(refute_0_602,plain,
( multiply(multiply(X_61,X_39),multiply(X_62,multiply(inverse(X_61),inverse(X_39)))) != X_62
| multiply(multiply(X_61,X_39),multiply(X_62,multiply(inverse(X_61),inverse(X_39)))) != multiply(multiply(X_61,X_39),multiply(X_62,inverse(multiply(X_39,X_61))))
| multiply(multiply(X_61,X_39),multiply(X_62,inverse(multiply(X_39,X_61)))) = X_62 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_61,X_39),multiply(X_62,multiply(inverse(X_61),inverse(X_39)))),X_62) ),[0],$fot(multiply(multiply(X_61,X_39),multiply(X_62,inverse(multiply(X_39,X_61)))))]]) ).
cnf(refute_0_603,plain,
( multiply(multiply(X_61,X_39),multiply(X_62,multiply(inverse(X_61),inverse(X_39)))) != X_62
| multiply(multiply(X_61,X_39),multiply(X_62,inverse(multiply(X_39,X_61)))) = X_62 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_61,X_39),multiply(X_62,multiply(inverse(X_61),inverse(X_39)))),multiply(multiply(X_61,X_39),multiply(X_62,inverse(multiply(X_39,X_61))))) )],[refute_0_601,refute_0_602]) ).
cnf(refute_0_604,plain,
multiply(multiply(X_61,X_39),multiply(X_62,inverse(multiply(X_39,X_61)))) = X_62,
inference(resolve,[$cnf( $equal(multiply(multiply(X_61,X_39),multiply(X_62,multiply(inverse(X_61),inverse(X_39)))),X_62) )],[refute_0_592,refute_0_603]) ).
cnf(refute_0_605,plain,
multiply(multiply(X_80,X_79),multiply(X_81,inverse(multiply(X_79,X_80)))) = X_81,
inference(subst,[],[refute_0_604:[bind(X_39,$fot(X_79)),bind(X_61,$fot(X_80)),bind(X_62,$fot(X_81))]]) ).
cnf(refute_0_606,plain,
( multiply(multiply(X_80,X_79),multiply(X_81,inverse(multiply(X_79,X_80)))) != X_81
| multiply(multiply(X_80,X_79),inverse(multiply(multiply(X_80,X_79),multiply(X_81,inverse(multiply(X_79,X_80)))))) != inverse(multiply(X_81,inverse(multiply(X_79,X_80))))
| multiply(multiply(X_80,X_79),inverse(X_81)) = inverse(multiply(X_81,inverse(multiply(X_79,X_80)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_80,X_79),inverse(multiply(multiply(X_80,X_79),multiply(X_81,inverse(multiply(X_79,X_80)))))),inverse(multiply(X_81,inverse(multiply(X_79,X_80))))) ),[0,1,0],$fot(X_81)]]) ).
cnf(refute_0_607,plain,
( multiply(multiply(X_80,X_79),inverse(multiply(multiply(X_80,X_79),multiply(X_81,inverse(multiply(X_79,X_80)))))) != inverse(multiply(X_81,inverse(multiply(X_79,X_80))))
| multiply(multiply(X_80,X_79),inverse(X_81)) = inverse(multiply(X_81,inverse(multiply(X_79,X_80)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_80,X_79),multiply(X_81,inverse(multiply(X_79,X_80)))),X_81) )],[refute_0_605,refute_0_606]) ).
cnf(refute_0_608,plain,
multiply(multiply(X_80,X_79),inverse(X_81)) = inverse(multiply(X_81,inverse(multiply(X_79,X_80)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_80,X_79),inverse(multiply(multiply(X_80,X_79),multiply(X_81,inverse(multiply(X_79,X_80)))))),inverse(multiply(X_81,inverse(multiply(X_79,X_80))))) )],[refute_0_588,refute_0_607]) ).
cnf(refute_0_609,plain,
multiply(multiply(X_80,X_79),inverse(X_81)) = multiply(X_79,multiply(X_80,inverse(X_81))),
inference(subst,[],[refute_0_225:[bind(X_1,$fot(X_79)),bind(X_77,$fot(X_81)),bind(X_78,$fot(X_80))]]) ).
cnf(refute_0_610,plain,
( multiply(multiply(X_80,X_79),inverse(X_81)) != multiply(X_79,multiply(X_80,inverse(X_81)))
| multiply(multiply(X_80,X_79),inverse(X_81)) != inverse(multiply(X_81,inverse(multiply(X_79,X_80))))
| multiply(X_79,multiply(X_80,inverse(X_81))) = inverse(multiply(X_81,inverse(multiply(X_79,X_80)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_80,X_79),inverse(X_81)),inverse(multiply(X_81,inverse(multiply(X_79,X_80))))) ),[0],$fot(multiply(X_79,multiply(X_80,inverse(X_81))))]]) ).
cnf(refute_0_611,plain,
( multiply(multiply(X_80,X_79),inverse(X_81)) != inverse(multiply(X_81,inverse(multiply(X_79,X_80))))
| multiply(X_79,multiply(X_80,inverse(X_81))) = inverse(multiply(X_81,inverse(multiply(X_79,X_80)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_80,X_79),inverse(X_81)),multiply(X_79,multiply(X_80,inverse(X_81)))) )],[refute_0_609,refute_0_610]) ).
cnf(refute_0_612,plain,
multiply(multiply(X_79,X_80),inverse(X_81)) = multiply(X_80,multiply(X_79,inverse(X_81))),
inference(subst,[],[refute_0_225:[bind(X_1,$fot(X_80)),bind(X_77,$fot(X_81)),bind(X_78,$fot(X_79))]]) ).
cnf(refute_0_613,plain,
inverse(multiply(X_81,inverse(multiply(X_79,X_80)))) = multiply(multiply(X_79,X_80),inverse(X_81)),
inference(subst,[],[refute_0_211:[bind(Y,$fot(X_81)),bind(X_44,$fot(multiply(X_79,X_80)))]]) ).
cnf(refute_0_614,plain,
( multiply(multiply(X_79,X_80),inverse(X_81)) != multiply(X_80,multiply(X_79,inverse(X_81)))
| inverse(multiply(X_81,inverse(multiply(X_79,X_80)))) != multiply(multiply(X_79,X_80),inverse(X_81))
| inverse(multiply(X_81,inverse(multiply(X_79,X_80)))) = multiply(X_80,multiply(X_79,inverse(X_81))) ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(inverse(multiply(X_81,inverse(multiply(X_79,X_80)))))),bind(Y0,$fot(multiply(multiply(X_79,X_80),inverse(X_81)))),bind(Z0,$fot(multiply(X_80,multiply(X_79,inverse(X_81)))))]]) ).
cnf(refute_0_615,plain,
( multiply(multiply(X_79,X_80),inverse(X_81)) != multiply(X_80,multiply(X_79,inverse(X_81)))
| inverse(multiply(X_81,inverse(multiply(X_79,X_80)))) = multiply(X_80,multiply(X_79,inverse(X_81))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_81,inverse(multiply(X_79,X_80)))),multiply(multiply(X_79,X_80),inverse(X_81))) )],[refute_0_613,refute_0_614]) ).
cnf(refute_0_616,plain,
inverse(multiply(X_81,inverse(multiply(X_79,X_80)))) = multiply(X_80,multiply(X_79,inverse(X_81))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_79,X_80),inverse(X_81)),multiply(X_80,multiply(X_79,inverse(X_81)))) )],[refute_0_612,refute_0_615]) ).
cnf(refute_0_617,plain,
( multiply(X_79,multiply(X_80,inverse(X_81))) != inverse(multiply(X_81,inverse(multiply(X_79,X_80))))
| inverse(multiply(X_81,inverse(multiply(X_79,X_80)))) != multiply(X_80,multiply(X_79,inverse(X_81)))
| multiply(X_79,multiply(X_80,inverse(X_81))) = multiply(X_80,multiply(X_79,inverse(X_81))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_79,multiply(X_80,inverse(X_81))),multiply(X_80,multiply(X_79,inverse(X_81)))) ),[0],$fot(inverse(multiply(X_81,inverse(multiply(X_79,X_80)))))]]) ).
cnf(refute_0_618,plain,
( multiply(X_79,multiply(X_80,inverse(X_81))) != inverse(multiply(X_81,inverse(multiply(X_79,X_80))))
| multiply(X_79,multiply(X_80,inverse(X_81))) = multiply(X_80,multiply(X_79,inverse(X_81))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_81,inverse(multiply(X_79,X_80)))),multiply(X_80,multiply(X_79,inverse(X_81)))) )],[refute_0_616,refute_0_617]) ).
cnf(refute_0_619,plain,
( multiply(multiply(X_80,X_79),inverse(X_81)) != inverse(multiply(X_81,inverse(multiply(X_79,X_80))))
| multiply(X_79,multiply(X_80,inverse(X_81))) = multiply(X_80,multiply(X_79,inverse(X_81))) ),
inference(resolve,[$cnf( $equal(multiply(X_79,multiply(X_80,inverse(X_81))),inverse(multiply(X_81,inverse(multiply(X_79,X_80))))) )],[refute_0_611,refute_0_618]) ).
cnf(refute_0_620,plain,
multiply(X_79,multiply(X_80,inverse(X_81))) = multiply(X_80,multiply(X_79,inverse(X_81))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_80,X_79),inverse(X_81)),inverse(multiply(X_81,inverse(multiply(X_79,X_80))))) )],[refute_0_608,refute_0_619]) ).
cnf(refute_0_621,plain,
( multiply(X_79,multiply(X_80,inverse(X_81))) != multiply(X_80,multiply(X_79,inverse(X_81)))
| multiply(X_80,multiply(X_79,inverse(X_81))) = multiply(X_79,multiply(X_80,inverse(X_81))) ),
inference(subst,[],[refute_0_67:[bind(X0,$fot(multiply(X_79,multiply(X_80,inverse(X_81))))),bind(Y0,$fot(multiply(X_80,multiply(X_79,inverse(X_81)))))]]) ).
cnf(refute_0_622,plain,
multiply(X_80,multiply(X_79,inverse(X_81))) = multiply(X_79,multiply(X_80,inverse(X_81))),
inference(resolve,[$cnf( $equal(multiply(X_79,multiply(X_80,inverse(X_81))),multiply(X_80,multiply(X_79,inverse(X_81)))) )],[refute_0_620,refute_0_621]) ).
cnf(refute_0_623,plain,
multiply(multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1),multiply(X_95,inverse(X_94))) = multiply(X_95,multiply(multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1),inverse(X_94))),
inference(subst,[],[refute_0_622:[bind(X_79,$fot(X_95)),bind(X_80,$fot(multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))),bind(X_81,$fot(X_94))]]) ).
cnf(refute_0_624,plain,
( multiply(X_95,multiply(multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1),inverse(X_94))) != multiply(X_95,multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)))
| multiply(multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1),multiply(X_95,inverse(X_94))) != multiply(X_95,multiply(multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1),inverse(X_94)))
| multiply(multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1),multiply(X_95,inverse(X_94))) = multiply(X_95,multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))) ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1),multiply(X_95,inverse(X_94))))),bind(Y0,$fot(multiply(X_95,multiply(multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1),inverse(X_94))))),bind(Z0,$fot(multiply(X_95,multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)))))]]) ).
cnf(refute_0_625,plain,
( multiply(X_95,multiply(multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1),inverse(X_94))) != multiply(X_95,multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)))
| multiply(multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1),multiply(X_95,inverse(X_94))) = multiply(X_95,multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1),multiply(X_95,inverse(X_94))),multiply(X_95,multiply(multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1),inverse(X_94)))) )],[refute_0_623,refute_0_624]) ).
cnf(refute_0_626,plain,
multiply(multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1),multiply(X_95,inverse(X_94))) = multiply(X_95,multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))),
inference(resolve,[$cnf( $equal(multiply(X_95,multiply(multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1),inverse(X_94))),multiply(X_95,multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)))) )],[refute_0_587,refute_0_625]) ).
cnf(refute_0_627,plain,
multiply(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)),inverse(X_94)) = multiply(multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1),multiply(X_95,inverse(X_94))),
inference(subst,[],[refute_0_225:[bind(X_1,$fot(multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))),bind(X_77,$fot(X_94)),bind(X_78,$fot(X_95))]]) ).
cnf(refute_0_628,plain,
( multiply(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)),inverse(X_94)) != multiply(multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1),multiply(X_95,inverse(X_94)))
| multiply(multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1),multiply(X_95,inverse(X_94))) != multiply(X_95,multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)))
| multiply(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)),inverse(X_94)) = multiply(X_95,multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))) ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)),inverse(X_94)))),bind(Y0,$fot(multiply(multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1),multiply(X_95,inverse(X_94))))),bind(Z0,$fot(multiply(X_95,multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)))))]]) ).
cnf(refute_0_629,plain,
( multiply(multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1),multiply(X_95,inverse(X_94))) != multiply(X_95,multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)))
| multiply(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)),inverse(X_94)) = multiply(X_95,multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)),inverse(X_94)),multiply(multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1),multiply(X_95,inverse(X_94)))) )],[refute_0_627,refute_0_628]) ).
cnf(refute_0_630,plain,
multiply(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)),inverse(X_94)) = multiply(X_95,multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1),multiply(X_95,inverse(X_94))),multiply(X_95,multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)))) )],[refute_0_626,refute_0_629]) ).
cnf(refute_0_631,plain,
inverse(multiply(X_94,inverse(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))))) = multiply(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)),inverse(X_94)),
inference(subst,[],[refute_0_211:[bind(Y,$fot(X_94)),bind(X_44,$fot(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))))]]) ).
cnf(refute_0_632,plain,
( multiply(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)),inverse(X_94)) != multiply(X_95,multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)))
| inverse(multiply(X_94,inverse(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))))) != multiply(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)),inverse(X_94))
| inverse(multiply(X_94,inverse(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))))) = multiply(X_95,multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))) ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(inverse(multiply(X_94,inverse(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))))))),bind(Y0,$fot(multiply(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)),inverse(X_94)))),bind(Z0,$fot(multiply(X_95,multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)))))]]) ).
cnf(refute_0_633,plain,
( multiply(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)),inverse(X_94)) != multiply(X_95,multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)))
| inverse(multiply(X_94,inverse(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))))) = multiply(X_95,multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_94,inverse(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))))),multiply(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)),inverse(X_94))) )],[refute_0_631,refute_0_632]) ).
cnf(refute_0_634,plain,
inverse(multiply(X_94,inverse(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))))) = multiply(X_95,multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)),inverse(X_94)),multiply(X_95,multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)))) )],[refute_0_630,refute_0_633]) ).
cnf(refute_0_635,plain,
( multiply(X_95,multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))) != multiply(X_95,multiply(inverse(multiply(X_95,X_93)),X_1))
| inverse(multiply(X_94,inverse(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))))) != multiply(X_95,multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)))
| inverse(multiply(X_94,inverse(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))))) = multiply(X_95,multiply(inverse(multiply(X_95,X_93)),X_1)) ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(inverse(multiply(X_94,inverse(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))))))),bind(Y0,$fot(multiply(X_95,multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))))),bind(Z0,$fot(multiply(X_95,multiply(inverse(multiply(X_95,X_93)),X_1))))]]) ).
cnf(refute_0_636,plain,
( multiply(X_95,multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))) != multiply(X_95,multiply(inverse(multiply(X_95,X_93)),X_1))
| inverse(multiply(X_94,inverse(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))))) = multiply(X_95,multiply(inverse(multiply(X_95,X_93)),X_1)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_94,inverse(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))))),multiply(X_95,multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)))) )],[refute_0_634,refute_0_635]) ).
cnf(refute_0_637,plain,
inverse(multiply(X_94,inverse(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))))) = multiply(X_95,multiply(inverse(multiply(X_95,X_93)),X_1)),
inference(resolve,[$cnf( $equal(multiply(X_95,multiply(inverse(X_94),multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))),multiply(X_95,multiply(inverse(multiply(X_95,X_93)),X_1))) )],[refute_0_413,refute_0_636]) ).
cnf(refute_0_638,plain,
( multiply(X_1,inverse(X_93)) != inverse(multiply(X_94,inverse(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)))))
| inverse(multiply(X_94,inverse(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))))) != multiply(X_95,multiply(inverse(multiply(X_95,X_93)),X_1))
| multiply(X_1,inverse(X_93)) = multiply(X_95,multiply(inverse(multiply(X_95,X_93)),X_1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_1,inverse(X_93)),multiply(X_95,multiply(inverse(multiply(X_95,X_93)),X_1))) ),[0],$fot(inverse(multiply(X_94,inverse(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))))))]]) ).
cnf(refute_0_639,plain,
( multiply(X_1,inverse(X_93)) != inverse(multiply(X_94,inverse(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)))))
| multiply(X_1,inverse(X_93)) = multiply(X_95,multiply(inverse(multiply(X_95,X_93)),X_1)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_94,inverse(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1))))),multiply(X_95,multiply(inverse(multiply(X_95,X_93)),X_1))) )],[refute_0_637,refute_0_638]) ).
cnf(refute_0_640,plain,
multiply(X_1,inverse(X_93)) = multiply(X_95,multiply(inverse(multiply(X_95,X_93)),X_1)),
inference(resolve,[$cnf( $equal(multiply(X_1,inverse(X_93)),inverse(multiply(X_94,inverse(multiply(X_95,multiply(multiply(X_94,inverse(multiply(X_95,X_93))),X_1)))))) )],[refute_0_363,refute_0_639]) ).
cnf(refute_0_641,plain,
multiply(X_128,inverse(inverse(multiply(X_130,X_41)))) = multiply(X_130,multiply(inverse(multiply(X_130,inverse(multiply(X_130,X_41)))),X_128)),
inference(subst,[],[refute_0_640:[bind(X_1,$fot(X_128)),bind(X_93,$fot(inverse(multiply(X_130,X_41)))),bind(X_95,$fot(X_130))]]) ).
cnf(refute_0_642,plain,
multiply(X_130,inverse(multiply(X_130,X_41))) = inverse(X_41),
inference(subst,[],[refute_0_142:[bind(X_1,$fot(X_130))]]) ).
cnf(refute_0_643,plain,
( multiply(X_128,inverse(inverse(multiply(X_130,X_41)))) != multiply(X_130,multiply(inverse(multiply(X_130,inverse(multiply(X_130,X_41)))),X_128))
| multiply(X_130,inverse(multiply(X_130,X_41))) != inverse(X_41)
| multiply(X_128,inverse(inverse(multiply(X_130,X_41)))) = multiply(X_130,multiply(inverse(inverse(X_41)),X_128)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_128,inverse(inverse(multiply(X_130,X_41)))),multiply(X_130,multiply(inverse(multiply(X_130,inverse(multiply(X_130,X_41)))),X_128))) ),[1,1,0,0],$fot(inverse(X_41))]]) ).
cnf(refute_0_644,plain,
( multiply(X_128,inverse(inverse(multiply(X_130,X_41)))) != multiply(X_130,multiply(inverse(multiply(X_130,inverse(multiply(X_130,X_41)))),X_128))
| multiply(X_128,inverse(inverse(multiply(X_130,X_41)))) = multiply(X_130,multiply(inverse(inverse(X_41)),X_128)) ),
inference(resolve,[$cnf( $equal(multiply(X_130,inverse(multiply(X_130,X_41))),inverse(X_41)) )],[refute_0_642,refute_0_643]) ).
cnf(refute_0_645,plain,
multiply(X_128,inverse(inverse(multiply(X_130,X_41)))) = multiply(X_130,multiply(inverse(inverse(X_41)),X_128)),
inference(resolve,[$cnf( $equal(multiply(X_128,inverse(inverse(multiply(X_130,X_41)))),multiply(X_130,multiply(inverse(multiply(X_130,inverse(multiply(X_130,X_41)))),X_128))) )],[refute_0_641,refute_0_644]) ).
cnf(refute_0_646,plain,
inverse(inverse(multiply(X_130,X_41))) = multiply(X_130,X_41),
inference(subst,[],[refute_0_294:[bind(X_39,$fot(multiply(X_130,X_41)))]]) ).
cnf(refute_0_647,plain,
multiply(X_128,inverse(inverse(multiply(X_130,X_41)))) = multiply(X_128,inverse(inverse(multiply(X_130,X_41)))),
introduced(tautology,[refl,[$fot(multiply(X_128,inverse(inverse(multiply(X_130,X_41)))))]]) ).
cnf(refute_0_648,plain,
( multiply(X_128,inverse(inverse(multiply(X_130,X_41)))) != multiply(X_128,inverse(inverse(multiply(X_130,X_41))))
| inverse(inverse(multiply(X_130,X_41))) != multiply(X_130,X_41)
| multiply(X_128,inverse(inverse(multiply(X_130,X_41)))) = multiply(X_128,multiply(X_130,X_41)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_128,inverse(inverse(multiply(X_130,X_41)))),multiply(X_128,inverse(inverse(multiply(X_130,X_41))))) ),[1,1],$fot(multiply(X_130,X_41))]]) ).
cnf(refute_0_649,plain,
( inverse(inverse(multiply(X_130,X_41))) != multiply(X_130,X_41)
| multiply(X_128,inverse(inverse(multiply(X_130,X_41)))) = multiply(X_128,multiply(X_130,X_41)) ),
inference(resolve,[$cnf( $equal(multiply(X_128,inverse(inverse(multiply(X_130,X_41)))),multiply(X_128,inverse(inverse(multiply(X_130,X_41))))) )],[refute_0_647,refute_0_648]) ).
cnf(refute_0_650,plain,
multiply(X_128,inverse(inverse(multiply(X_130,X_41)))) = multiply(X_128,multiply(X_130,X_41)),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_130,X_41))),multiply(X_130,X_41)) )],[refute_0_646,refute_0_649]) ).
cnf(refute_0_651,plain,
( multiply(X_128,inverse(inverse(multiply(X_130,X_41)))) != multiply(X_128,multiply(X_130,X_41))
| multiply(X_128,inverse(inverse(multiply(X_130,X_41)))) != multiply(X_130,multiply(inverse(inverse(X_41)),X_128))
| multiply(X_128,multiply(X_130,X_41)) = multiply(X_130,multiply(inverse(inverse(X_41)),X_128)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_128,inverse(inverse(multiply(X_130,X_41)))),multiply(X_130,multiply(inverse(inverse(X_41)),X_128))) ),[0],$fot(multiply(X_128,multiply(X_130,X_41)))]]) ).
cnf(refute_0_652,plain,
( multiply(X_128,inverse(inverse(multiply(X_130,X_41)))) != multiply(X_130,multiply(inverse(inverse(X_41)),X_128))
| multiply(X_128,multiply(X_130,X_41)) = multiply(X_130,multiply(inverse(inverse(X_41)),X_128)) ),
inference(resolve,[$cnf( $equal(multiply(X_128,inverse(inverse(multiply(X_130,X_41)))),multiply(X_128,multiply(X_130,X_41))) )],[refute_0_650,refute_0_651]) ).
cnf(refute_0_653,plain,
multiply(inverse(inverse(X_41)),X_128) = multiply(inverse(inverse(X_41)),X_128),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_41)),X_128))]]) ).
cnf(refute_0_654,plain,
( multiply(inverse(inverse(X_41)),X_128) != multiply(inverse(inverse(X_41)),X_128)
| inverse(inverse(X_41)) != X_41
| multiply(inverse(inverse(X_41)),X_128) = multiply(X_41,X_128) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_41)),X_128),multiply(inverse(inverse(X_41)),X_128)) ),[1,0],$fot(X_41)]]) ).
cnf(refute_0_655,plain,
( inverse(inverse(X_41)) != X_41
| multiply(inverse(inverse(X_41)),X_128) = multiply(X_41,X_128) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_41)),X_128),multiply(inverse(inverse(X_41)),X_128)) )],[refute_0_653,refute_0_654]) ).
cnf(refute_0_656,plain,
multiply(inverse(inverse(X_41)),X_128) = multiply(X_41,X_128),
inference(resolve,[$cnf( $equal(inverse(inverse(X_41)),X_41) )],[refute_0_139,refute_0_655]) ).
cnf(refute_0_657,plain,
multiply(X_130,multiply(inverse(inverse(X_41)),X_128)) = multiply(X_130,multiply(inverse(inverse(X_41)),X_128)),
introduced(tautology,[refl,[$fot(multiply(X_130,multiply(inverse(inverse(X_41)),X_128)))]]) ).
cnf(refute_0_658,plain,
( multiply(X_130,multiply(inverse(inverse(X_41)),X_128)) != multiply(X_130,multiply(inverse(inverse(X_41)),X_128))
| multiply(inverse(inverse(X_41)),X_128) != multiply(X_41,X_128)
| multiply(X_130,multiply(inverse(inverse(X_41)),X_128)) = multiply(X_130,multiply(X_41,X_128)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_130,multiply(inverse(inverse(X_41)),X_128)),multiply(X_130,multiply(inverse(inverse(X_41)),X_128))) ),[1,1],$fot(multiply(X_41,X_128))]]) ).
cnf(refute_0_659,plain,
( multiply(inverse(inverse(X_41)),X_128) != multiply(X_41,X_128)
| multiply(X_130,multiply(inverse(inverse(X_41)),X_128)) = multiply(X_130,multiply(X_41,X_128)) ),
inference(resolve,[$cnf( $equal(multiply(X_130,multiply(inverse(inverse(X_41)),X_128)),multiply(X_130,multiply(inverse(inverse(X_41)),X_128))) )],[refute_0_657,refute_0_658]) ).
cnf(refute_0_660,plain,
multiply(X_130,multiply(inverse(inverse(X_41)),X_128)) = multiply(X_130,multiply(X_41,X_128)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_41)),X_128),multiply(X_41,X_128)) )],[refute_0_656,refute_0_659]) ).
cnf(refute_0_661,plain,
( multiply(X_128,multiply(X_130,X_41)) != multiply(X_130,multiply(inverse(inverse(X_41)),X_128))
| multiply(X_130,multiply(inverse(inverse(X_41)),X_128)) != multiply(X_130,multiply(X_41,X_128))
| multiply(X_128,multiply(X_130,X_41)) = multiply(X_130,multiply(X_41,X_128)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_128,multiply(X_130,X_41)),multiply(X_130,multiply(X_41,X_128))) ),[0],$fot(multiply(X_130,multiply(inverse(inverse(X_41)),X_128)))]]) ).
cnf(refute_0_662,plain,
( multiply(X_128,multiply(X_130,X_41)) != multiply(X_130,multiply(inverse(inverse(X_41)),X_128))
| multiply(X_128,multiply(X_130,X_41)) = multiply(X_130,multiply(X_41,X_128)) ),
inference(resolve,[$cnf( $equal(multiply(X_130,multiply(inverse(inverse(X_41)),X_128)),multiply(X_130,multiply(X_41,X_128))) )],[refute_0_660,refute_0_661]) ).
cnf(refute_0_663,plain,
( multiply(X_128,inverse(inverse(multiply(X_130,X_41)))) != multiply(X_130,multiply(inverse(inverse(X_41)),X_128))
| multiply(X_128,multiply(X_130,X_41)) = multiply(X_130,multiply(X_41,X_128)) ),
inference(resolve,[$cnf( $equal(multiply(X_128,multiply(X_130,X_41)),multiply(X_130,multiply(inverse(inverse(X_41)),X_128))) )],[refute_0_652,refute_0_662]) ).
cnf(refute_0_664,plain,
multiply(X_128,multiply(X_130,X_41)) = multiply(X_130,multiply(X_41,X_128)),
inference(resolve,[$cnf( $equal(multiply(X_128,inverse(inverse(multiply(X_130,X_41)))),multiply(X_130,multiply(inverse(inverse(X_41)),X_128))) )],[refute_0_645,refute_0_663]) ).
cnf(refute_0_665,plain,
( multiply(X_128,multiply(X_130,X_41)) != multiply(X_130,multiply(X_41,X_128))
| multiply(X_130,multiply(X_41,X_128)) = multiply(X_128,multiply(X_130,X_41)) ),
inference(subst,[],[refute_0_67:[bind(X0,$fot(multiply(X_128,multiply(X_130,X_41)))),bind(Y0,$fot(multiply(X_130,multiply(X_41,X_128))))]]) ).
cnf(refute_0_666,plain,
multiply(X_130,multiply(X_41,X_128)) = multiply(X_128,multiply(X_130,X_41)),
inference(resolve,[$cnf( $equal(multiply(X_128,multiply(X_130,X_41)),multiply(X_130,multiply(X_41,X_128))) )],[refute_0_664,refute_0_665]) ).
cnf(refute_0_667,plain,
multiply(b3,multiply(c3,a3)) = multiply(a3,multiply(b3,c3)),
inference(subst,[],[refute_0_666:[bind(X_128,$fot(a3)),bind(X_130,$fot(b3)),bind(X_41,$fot(c3))]]) ).
cnf(refute_0_668,plain,
multiply(c3,multiply(a3,b3)) = multiply(b3,multiply(c3,a3)),
inference(subst,[],[refute_0_666:[bind(X_128,$fot(b3)),bind(X_130,$fot(c3)),bind(X_41,$fot(a3))]]) ).
cnf(refute_0_669,plain,
( multiply(b3,multiply(c3,a3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) != multiply(b3,multiply(c3,a3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(c3,multiply(a3,b3)))),bind(Y0,$fot(multiply(b3,multiply(c3,a3)))),bind(Z0,$fot(multiply(a3,multiply(b3,c3))))]]) ).
cnf(refute_0_670,plain,
( multiply(b3,multiply(c3,a3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(b3,multiply(c3,a3))) )],[refute_0_668,refute_0_669]) ).
cnf(refute_0_671,plain,
multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(b3,multiply(c3,a3)),multiply(a3,multiply(b3,c3))) )],[refute_0_667,refute_0_670]) ).
cnf(refute_0_672,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) ),[1],$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_673,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_671,refute_0_672]) ).
cnf(refute_0_674,plain,
( multiply(a1,inverse(a1)) != multiply(b1,inverse(b1))
| multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_673,refute_0_113]) ).
cnf(refute_0_675,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_676,plain,
multiply(a1,inverse(a1)) != multiply(b1,inverse(b1)),
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_675,refute_0_674]) ).
cnf(refute_0_677,plain,
multiply(X_46,multiply(inverse(X_46),multiply(X_5,inverse(X_5)))) = multiply(X_5,inverse(X_5)),
inference(subst,[],[refute_0_153:[bind(X,$fot(X_46)),bind(Y,$fot(multiply(X_5,inverse(X_5))))]]) ).
cnf(refute_0_678,plain,
multiply(inverse(X_46),multiply(X_5,inverse(X_5))) = inverse(X_46),
inference(subst,[],[refute_0_16:[bind(X_4,$fot(inverse(X_46)))]]) ).
cnf(refute_0_679,plain,
( multiply(X_46,multiply(inverse(X_46),multiply(X_5,inverse(X_5)))) != multiply(X_5,inverse(X_5))
| multiply(inverse(X_46),multiply(X_5,inverse(X_5))) != inverse(X_46)
| multiply(X_46,inverse(X_46)) = multiply(X_5,inverse(X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_46,multiply(inverse(X_46),multiply(X_5,inverse(X_5)))),multiply(X_5,inverse(X_5))) ),[0,1],$fot(inverse(X_46))]]) ).
cnf(refute_0_680,plain,
( multiply(X_46,multiply(inverse(X_46),multiply(X_5,inverse(X_5)))) != multiply(X_5,inverse(X_5))
| multiply(X_46,inverse(X_46)) = multiply(X_5,inverse(X_5)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_46),multiply(X_5,inverse(X_5))),inverse(X_46)) )],[refute_0_678,refute_0_679]) ).
cnf(refute_0_681,plain,
multiply(X_46,inverse(X_46)) = multiply(X_5,inverse(X_5)),
inference(resolve,[$cnf( $equal(multiply(X_46,multiply(inverse(X_46),multiply(X_5,inverse(X_5)))),multiply(X_5,inverse(X_5))) )],[refute_0_677,refute_0_680]) ).
cnf(refute_0_682,plain,
( multiply(X_46,inverse(X_46)) != multiply(X_5,inverse(X_5))
| multiply(X_5,inverse(X_5)) = multiply(X_46,inverse(X_46)) ),
inference(subst,[],[refute_0_67:[bind(X0,$fot(multiply(X_46,inverse(X_46)))),bind(Y0,$fot(multiply(X_5,inverse(X_5))))]]) ).
cnf(refute_0_683,plain,
multiply(X_5,inverse(X_5)) = multiply(X_46,inverse(X_46)),
inference(resolve,[$cnf( $equal(multiply(X_46,inverse(X_46)),multiply(X_5,inverse(X_5))) )],[refute_0_681,refute_0_682]) ).
cnf(refute_0_684,plain,
multiply(a1,inverse(a1)) = multiply(b1,inverse(b1)),
inference(subst,[],[refute_0_683:[bind(X_46,$fot(b1)),bind(X_5,$fot(a1))]]) ).
cnf(refute_0_685,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a1,inverse(a1)),multiply(b1,inverse(b1))) )],[refute_0_684,refute_0_676]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP086-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 06:36:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 4.61/4.80 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.61/4.80
% 4.61/4.80 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.81/4.98
%------------------------------------------------------------------------------